- FindStat

Identifier

Mp00060: Permutations —Robinson-Schensted tableau shape⟶ Integer partitions
Mp00042: Integer partitions —initial tableau⟶ Standard tableaux
Mp00082: Standard tableaux —to Gelfand-Tsetlin pattern⟶ Gelfand-Tsetlin patterns
St000074: Gelfand-Tsetlin patterns ⟶ ℤ

Values

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

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

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

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

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

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

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

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

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

[1,2,3,4] => [4] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,4,3] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,3,2,4] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,3,4,2] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,4,2,3] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,4,3,2] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[2,1,3,4] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,1,4,3] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,3,1,4] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,3,4,1] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,4,1,3] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,4,3,1] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[3,1,2,4] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,1,4,2] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,2,1,4] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[3,2,4,1] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[3,4,1,2] => [2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,4,2,1] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[4,1,2,3] => [3,1] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,1,3,2] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[4,2,1,3] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[4,2,3,1] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[4,3,1,2] => [2,1,1] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[4,3,2,1] => [1,1,1,1] => [[1],[2],[3],[4]] => [[1,1,1,1],[1,1,1],[1,1],[1]] => 0

[1,2,3,4,5] => [5] => [[1,2,3,4,5]] => [[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,5,4] => [4,1] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,4,3,5] => [4,1] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,4,5,3] => [4,1] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,5,3,4] => [4,1] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,5,4,3] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,3,2,4,5] => [4,1] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,2,5,4] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,4,2,5] => [4,1] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,4,5,2] => [4,1] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,5,2,4] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,5,4,2] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,4,2,3,5] => [4,1] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,2,5,3] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,3,2,5] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,4,3,5,2] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,4,5,2,3] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,5,3,2] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,5,2,3,4] => [4,1] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,2,4,3] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,5,3,2,4] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,5,3,4,2] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,5,4,2,3] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,5,4,3,2] => [2,1,1,1] => [[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[2,1,3,4,5] => [4,1] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,3,5,4] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,4,3,5] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,4,5,3] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,5,3,4] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,5,4,3] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,3,1,4,5] => [4,1] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,1,5,4] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,4,1,5] => [4,1] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,4,5,1] => [4,1] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,5,1,4] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,5,4,1] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,4,1,3,5] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,1,5,3] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,3,1,5] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,4,3,5,1] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,4,5,1,3] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,5,3,1] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,5,1,3,4] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,1,4,3] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,5,3,1,4] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,5,3,4,1] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,5,4,1,3] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,5,4,3,1] => [2,1,1,1] => [[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[3,1,2,4,5] => [4,1] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,2,5,4] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,4,2,5] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,4,5,2] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,5,2,4] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,5,4,2] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,2,1,4,5] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,2,1,5,4] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,2,4,1,5] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,2,4,5,1] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,2,5,1,4] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,2,5,4,1] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,4,1,2,5] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,1,5,2] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,2,1,5] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,4,2,5,1] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,4,5,1,2] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,5,2,1] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,5,1,2,4] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,1,4,2] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

>>> Load all 31515 entries. <<<

[3,5,2,1,4] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,5,2,4,1] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,5,4,1,2] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,5,4,2,1] => [2,1,1,1] => [[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[4,1,2,3,5] => [4,1] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,2,5,3] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,3,2,5] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,1,3,5,2] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,1,5,2,3] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,5,3,2] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,2,1,3,5] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,2,1,5,3] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,2,3,1,5] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,2,3,5,1] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,2,5,1,3] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,2,5,3,1] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,3,1,2,5] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,3,1,5,2] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,3,2,1,5] => [2,1,1,1] => [[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[4,3,2,5,1] => [2,1,1,1] => [[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[4,3,5,1,2] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,3,5,2,1] => [2,1,1,1] => [[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[4,5,1,2,3] => [3,2] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,1,3,2] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,5,2,1,3] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,5,2,3,1] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,5,3,1,2] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,5,3,2,1] => [2,1,1,1] => [[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[5,1,2,3,4] => [4,1] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,2,4,3] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,1,3,2,4] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,1,3,4,2] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,1,4,2,3] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,1,4,3,2] => [2,1,1,1] => [[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[5,2,1,3,4] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,2,1,4,3] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,2,3,1,4] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,2,3,4,1] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,2,4,1,3] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,2,4,3,1] => [2,1,1,1] => [[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[5,3,1,2,4] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,3,1,4,2] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,3,2,1,4] => [2,1,1,1] => [[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[5,3,2,4,1] => [2,1,1,1] => [[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[5,3,4,1,2] => [2,2,1] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,3,4,2,1] => [2,1,1,1] => [[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[5,4,1,2,3] => [3,1,1] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,4,1,3,2] => [2,1,1,1] => [[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[5,4,2,1,3] => [2,1,1,1] => [[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[5,4,2,3,1] => [2,1,1,1] => [[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[5,4,3,1,2] => [2,1,1,1] => [[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[5,4,3,2,1] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => [[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 0

[1,2,3,4,5,6] => [6] => [[1,2,3,4,5,6]] => [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,6,5] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,5,4,6] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,5,6,4] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,6,4,5] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,6,5,4] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,4,3,5,6] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,3,6,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,5,3,6] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,5,6,3] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,6,3,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,6,5,3] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,5,3,4,6] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,3,6,4] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,4,3,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,5,4,6,3] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,5,6,3,4] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,6,4,3] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,6,3,4,5] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,3,5,4] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,6,4,3,5] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,6,4,5,3] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,6,5,3,4] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,6,5,4,3] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,3,2,4,5,6] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,4,6,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,5,4,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,5,6,4] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,6,4,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,6,5,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,4,2,5,6] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,2,6,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,5,2,6] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,5,6,2] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,6,2,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,6,5,2] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,5,2,4,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,2,6,4] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,4,2,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,5,4,6,2] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,5,6,2,4] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,6,4,2] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,6,2,4,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,2,5,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,6,4,2,5] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,6,4,5,2] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,6,5,2,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,6,5,4,2] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,4,2,3,5,6] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,3,6,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,5,3,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,5,6,3] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,6,3,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,6,5,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,3,2,5,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,3,2,6,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,3,5,2,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,3,5,6,2] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,3,6,2,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,3,6,5,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,5,2,3,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,2,6,3] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,3,2,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,5,3,6,2] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,5,6,2,3] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,6,3,2] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,6,2,3,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,2,5,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,6,3,2,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,6,3,5,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,6,5,2,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,6,5,3,2] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,5,2,3,4,6] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,3,6,4] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,4,3,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,2,4,6,3] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,2,6,3,4] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,6,4,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,3,2,4,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,3,2,6,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,3,4,2,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,3,4,6,2] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,3,6,2,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,3,6,4,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,4,2,3,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,4,2,6,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,4,3,2,6] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,5,4,3,6,2] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,5,4,6,2,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,4,6,3,2] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,5,6,2,3,4] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,2,4,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,6,3,2,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,6,3,4,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,6,4,2,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,6,4,3,2] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,2,3,4,5] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,3,5,4] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,2,4,3,5] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,2,4,5,3] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,2,5,3,4] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,2,5,4,3] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,3,2,4,5] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,3,2,5,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,3,4,2,5] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,3,4,5,2] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,3,5,2,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,3,5,4,2] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,4,2,3,5] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,2,5,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,3,2,5] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,4,3,5,2] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,4,5,2,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,5,3,2] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,5,2,3,4] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,2,4,3] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,5,3,2,4] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,5,3,4,2] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,5,4,2,3] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,5,4,3,2] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[2,1,3,4,5,6] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,4,6,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,5,4,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,5,6,4] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,6,4,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,6,5,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,4,3,5,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,3,6,5] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,5,3,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,5,6,3] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,6,3,5] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,6,5,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,5,3,4,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,3,6,4] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,4,3,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,5,4,6,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,5,6,3,4] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,6,4,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,6,3,4,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,3,5,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,6,4,3,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,6,4,5,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,6,5,3,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,6,5,4,3] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,3,1,4,5,6] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,4,6,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,5,4,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,5,6,4] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,6,4,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,6,5,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,4,1,5,6] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,1,6,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,5,1,6] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,5,6,1] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,6,1,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,6,5,1] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,5,1,4,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,1,6,4] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,4,1,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,5,4,6,1] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,5,6,1,4] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,6,4,1] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,6,1,4,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,1,5,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,6,4,1,5] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,6,4,5,1] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,6,5,1,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,6,5,4,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,4,1,3,5,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,3,6,5] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,5,3,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,5,6,3] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,6,3,5] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,6,5,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,3,1,5,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,3,1,6,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,3,5,1,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,3,5,6,1] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,3,6,1,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,3,6,5,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,5,1,3,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,1,6,3] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,3,1,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,5,3,6,1] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,5,6,1,3] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,6,3,1] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,6,1,3,5] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,1,5,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,6,3,1,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,6,3,5,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,6,5,1,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,6,5,3,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,5,1,3,4,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,3,6,4] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,4,3,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,1,4,6,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,1,6,3,4] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,6,4,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,3,1,4,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,3,1,6,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,3,4,1,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,3,4,6,1] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,3,6,1,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,3,6,4,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,4,1,3,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,4,1,6,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,4,3,1,6] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,5,4,3,6,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,5,4,6,1,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,4,6,3,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,5,6,1,3,4] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,1,4,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,6,3,1,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,6,3,4,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,6,4,1,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,6,4,3,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,6,1,3,4,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,3,5,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,1,4,3,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,1,4,5,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,1,5,3,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,1,5,4,3] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,6,3,1,4,5] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,3,1,5,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,3,4,1,5] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,3,4,5,1] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,3,5,1,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,3,5,4,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,6,4,1,3,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,4,1,5,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,4,3,1,5] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,6,4,3,5,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,6,4,5,1,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,4,5,3,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,6,5,1,3,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,1,4,3] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,6,5,3,1,4] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,6,5,3,4,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,6,5,4,1,3] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,6,5,4,3,1] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[3,1,2,4,5,6] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,4,6,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,5,4,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,5,6,4] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,6,4,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,6,5,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,4,2,5,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,4,2,6,5] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,4,5,2,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,4,5,6,2] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,4,6,2,5] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,4,6,5,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,5,2,4,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,2,6,4] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,4,2,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,5,4,6,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,5,6,2,4] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,6,4,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,6,2,4,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,2,5,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,6,4,2,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,6,4,5,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,6,5,2,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,6,5,4,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,2,1,4,5,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,1,4,6,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,1,5,4,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,1,5,6,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,1,6,4,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,1,6,5,4] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,2,4,1,5,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,4,1,6,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,4,5,1,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,4,5,6,1] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,4,6,1,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,4,6,5,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,5,1,4,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,5,1,6,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,5,4,1,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,5,4,6,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,5,6,1,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,5,6,4,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,6,1,4,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,6,1,5,4] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,2,6,4,1,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,6,4,5,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,6,5,1,4] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,2,6,5,4,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,4,1,2,5,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,2,6,5] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,5,2,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,5,6,2] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,6,2,5] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,6,5,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,2,1,5,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,2,1,6,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,2,5,1,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,2,5,6,1] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,2,6,1,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,2,6,5,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,5,1,2,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,1,6,2] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,2,1,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,5,2,6,1] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,5,6,1,2] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,6,2,1] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,6,1,2,5] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,1,5,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,6,2,1,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,6,2,5,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,6,5,1,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,6,5,2,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,5,1,2,4,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,2,6,4] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,4,2,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,1,4,6,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,1,6,2,4] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,6,4,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,2,1,4,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,2,1,6,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,2,4,1,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,2,4,6,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,2,6,1,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,2,6,4,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,1,2,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,1,6,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,2,1,6] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,5,4,2,6,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,5,4,6,1,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,6,2,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,5,6,1,2,4] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,1,4,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,6,2,1,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,6,2,4,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,6,4,1,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,6,4,2,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,6,1,2,4,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,2,5,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,1,4,2,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,1,4,5,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,1,5,2,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,1,5,4,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,6,2,1,4,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,2,1,5,4] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,6,2,4,1,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,2,4,5,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,2,5,1,4] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,6,2,5,4,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,6,4,1,2,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,1,5,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,2,1,5] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,6,4,2,5,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,6,4,5,1,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,5,2,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,6,5,1,2,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,5,1,4,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,6,5,2,1,4] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,6,5,2,4,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,6,5,4,1,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,6,5,4,2,1] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[4,1,2,3,5,6] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,3,6,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,5,3,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,5,6,3] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,6,3,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,6,5,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,3,2,5,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,3,2,6,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,3,5,2,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,3,5,6,2] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,3,6,2,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,3,6,5,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,5,2,3,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,2,6,3] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,3,2,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,5,3,6,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,5,6,2,3] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,6,3,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,6,2,3,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,2,5,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,6,3,2,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,6,3,5,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,6,5,2,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,6,5,3,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,2,1,3,5,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,1,3,6,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,1,5,3,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,1,5,6,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,1,6,3,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,1,6,5,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,2,3,1,5,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,3,1,6,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,3,5,1,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,3,5,6,1] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,3,6,1,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,3,6,5,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,5,1,3,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,5,1,6,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,5,3,1,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,5,3,6,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,5,6,1,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,5,6,3,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,6,1,3,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,6,1,5,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,2,6,3,1,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,6,3,5,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,6,5,1,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,2,6,5,3,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,3,1,2,5,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,1,2,6,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,1,5,2,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,1,5,6,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,1,6,2,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,1,6,5,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,2,1,5,6] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,3,2,1,6,5] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,3,2,5,1,6] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,3,2,5,6,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,3,2,6,1,5] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,3,2,6,5,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,3,5,1,2,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,5,1,6,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,5,2,1,6] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,3,5,2,6,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,3,5,6,1,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,5,6,2,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,3,6,1,2,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,6,1,5,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,6,2,1,5] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,3,6,2,5,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,3,6,5,1,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,6,5,2,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,5,1,2,3,6] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,2,6,3] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,3,2,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,1,3,6,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,1,6,2,3] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,6,3,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,2,1,3,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,2,1,6,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,2,3,1,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,2,3,6,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,2,6,1,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,2,6,3,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,1,2,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,1,6,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,2,1,6] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,5,3,2,6,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,5,3,6,1,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,6,2,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,5,6,1,2,3] => [3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,1,3,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,6,2,1,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,6,2,3,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,6,3,1,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,6,3,2,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,6,1,2,3,5] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,2,5,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,1,3,2,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,1,3,5,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,1,5,2,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,1,5,3,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,6,2,1,3,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,2,1,5,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,6,2,3,1,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,2,3,5,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,2,5,1,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,6,2,5,3,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,6,3,1,2,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,3,1,5,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,6,3,2,1,5] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,6,3,2,5,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,6,3,5,1,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,6,3,5,2,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,6,5,1,2,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,1,3,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,6,5,2,1,3] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,6,5,2,3,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,6,5,3,1,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,6,5,3,2,1] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[5,1,2,3,4,6] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,3,6,4] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,4,3,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,2,4,6,3] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,2,6,3,4] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,6,4,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,3,2,4,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,3,2,6,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,3,4,2,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,3,4,6,2] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,3,6,2,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,3,6,4,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,4,2,3,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,4,2,6,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,4,3,2,6] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,1,4,3,6,2] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,1,4,6,2,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,4,6,3,2] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,1,6,2,3,4] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,2,4,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,6,3,2,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,6,3,4,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,6,4,2,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,6,4,3,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,2,1,3,4,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,1,3,6,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,1,4,3,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,1,4,6,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,1,6,3,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,1,6,4,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,2,3,1,4,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,3,1,6,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,3,4,1,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,3,4,6,1] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,3,6,1,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,3,6,4,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,4,1,3,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,4,1,6,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,4,3,1,6] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,2,4,3,6,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,2,4,6,1,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,4,6,3,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,2,6,1,3,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,6,1,4,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,2,6,3,1,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,6,3,4,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,6,4,1,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,2,6,4,3,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,3,1,2,4,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,1,2,6,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,1,4,2,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,1,4,6,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,1,6,2,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,1,6,4,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,2,1,4,6] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,3,2,1,6,4] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,3,2,4,1,6] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,3,2,4,6,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,3,2,6,1,4] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,3,2,6,4,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,3,4,1,2,6] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,4,1,6,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,4,2,1,6] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,3,4,2,6,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,3,4,6,1,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,4,6,2,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,3,6,1,2,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,6,1,4,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,6,2,1,4] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,3,6,2,4,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,3,6,4,1,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,6,4,2,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,1,2,3,6] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,1,2,6,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,1,3,2,6] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,4,1,3,6,2] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,4,1,6,2,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,1,6,3,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,2,1,3,6] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,4,2,1,6,3] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,2,3,1,6] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,4,2,3,6,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,4,2,6,1,3] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,2,6,3,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,3,1,2,6] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,4,3,1,6,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,3,2,1,6] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[5,4,3,2,6,1] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[5,4,3,6,1,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,3,6,2,1] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[5,4,6,1,2,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,1,3,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,6,2,1,3] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,6,2,3,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,6,3,1,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,6,3,2,1] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[5,6,1,2,3,4] => [4,2] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,2,4,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,1,3,2,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,1,3,4,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,1,4,2,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,1,4,3,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,6,2,1,3,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,2,1,4,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,6,2,3,1,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,2,3,4,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,2,4,1,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,6,2,4,3,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,6,3,1,2,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,3,1,4,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,6,3,2,1,4] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,6,3,2,4,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,6,3,4,1,2] => [2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,6,3,4,2,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,6,4,1,2,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,4,1,3,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,6,4,2,1,3] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,6,4,2,3,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,6,4,3,1,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,6,4,3,2,1] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,1,2,3,4,5] => [5,1] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,3,5,4] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,2,4,3,5] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,2,4,5,3] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,2,5,3,4] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,2,5,4,3] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,1,3,2,4,5] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,3,2,5,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,3,4,2,5] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,3,4,5,2] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,3,5,2,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,3,5,4,2] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,1,4,2,3,5] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,4,2,5,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,4,3,2,5] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,1,4,3,5,2] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,1,4,5,2,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,4,5,3,2] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,1,5,2,3,4] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,2,4,3] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,1,5,3,2,4] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,1,5,3,4,2] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,1,5,4,2,3] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,1,5,4,3,2] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,2,1,3,4,5] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,1,3,5,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,1,4,3,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,1,4,5,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,1,5,3,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,1,5,4,3] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,2,3,1,4,5] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,3,1,5,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,3,4,1,5] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,3,4,5,1] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,3,5,1,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,3,5,4,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,2,4,1,3,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,4,1,5,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,4,3,1,5] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,2,4,3,5,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,2,4,5,1,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,4,5,3,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,2,5,1,3,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,1,4,3] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,2,5,3,1,4] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,2,5,3,4,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,2,5,4,1,3] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,2,5,4,3,1] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,3,1,2,4,5] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,1,2,5,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,1,4,2,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,1,4,5,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,1,5,2,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,1,5,4,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,3,2,1,4,5] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,3,2,1,5,4] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,3,2,4,1,5] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,3,2,4,5,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,3,2,5,1,4] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,3,2,5,4,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,3,4,1,2,5] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,4,1,5,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,4,2,1,5] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,3,4,2,5,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,3,4,5,1,2] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,4,5,2,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,3,5,1,2,4] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,1,4,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,3,5,2,1,4] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,3,5,2,4,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,3,5,4,1,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,3,5,4,2,1] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,4,1,2,3,5] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,2,5,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,3,2,5] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,4,1,3,5,2] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,4,1,5,2,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,5,3,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,2,1,3,5] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,4,2,1,5,3] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,2,3,1,5] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,4,2,3,5,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,4,2,5,1,3] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,2,5,3,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,3,1,2,5] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,4,3,1,5,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,3,2,1,5] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,4,3,2,5,1] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,4,3,5,1,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,3,5,2,1] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,4,5,1,2,3] => [3,2,1] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,1,3,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,5,2,1,3] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,5,2,3,1] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,5,3,1,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,5,3,2,1] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,5,1,2,3,4] => [4,1,1] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,2,4,3] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,1,3,2,4] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,1,3,4,2] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,1,4,2,3] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,1,4,3,2] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,5,2,1,3,4] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,2,1,4,3] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,2,3,1,4] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,2,3,4,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,2,4,1,3] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,2,4,3,1] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,5,3,1,2,4] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,3,1,4,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,3,2,1,4] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,5,3,2,4,1] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,5,3,4,1,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,3,4,2,1] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,5,4,1,2,3] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,4,1,3,2] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,5,4,2,1,3] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,5,4,2,3,1] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,5,4,3,1,2] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,5,4,3,2,1] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => [[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 0

[1,2,3,4,5,6,7] => [7] => [[1,2,3,4,5,6,7]] => [[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,5,7,6] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,6,5,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,6,7,5] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,7,5,6] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,7,6,5] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,5,4,6,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,4,7,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,6,4,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,6,7,4] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,7,4,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,7,6,4] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,6,4,5,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,6,4,7,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,6,5,4,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,6,5,7,4] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,6,7,4,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,6,7,5,4] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,7,4,5,6] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,7,4,6,5] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,7,5,4,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,7,5,6,4] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,7,6,4,5] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,7,6,5,4] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,4,3,5,6,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,3,5,7,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,3,6,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,3,6,7,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,3,7,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,3,7,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,5,3,6,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,5,3,7,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,5,6,3,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,5,6,7,3] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,5,7,3,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,5,7,6,3] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,6,3,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,6,3,7,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,6,5,3,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,6,5,7,3] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,6,7,3,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,6,7,5,3] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,7,3,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,7,3,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,7,5,3,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,7,5,6,3] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,7,6,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,7,6,5,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,5,3,4,6,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,3,4,7,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,3,6,4,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,3,6,7,4] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,3,7,4,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,3,7,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,4,3,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,4,3,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,4,6,3,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,4,6,7,3] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,4,7,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,4,7,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,6,3,4,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,6,3,7,4] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,6,4,3,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,6,4,7,3] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,6,7,3,4] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,6,7,4,3] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,7,3,4,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,7,3,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,7,4,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,7,4,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,7,6,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,7,6,4,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,6,3,4,5,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,3,4,7,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,3,5,4,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,3,5,7,4] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,3,7,4,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,3,7,5,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,4,3,5,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,4,3,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,4,5,3,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,4,5,7,3] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,4,7,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,4,7,5,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,5,3,4,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,5,3,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,5,4,3,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,6,5,4,7,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,6,5,7,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,5,7,4,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,6,7,3,4,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,7,3,5,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,7,4,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,7,4,5,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,7,5,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,7,5,4,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,7,3,4,5,6] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,3,4,6,5] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,3,5,4,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,3,5,6,4] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,3,6,4,5] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,3,6,5,4] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,7,4,3,5,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,4,3,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,4,5,3,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,4,5,6,3] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,4,6,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,4,6,5,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,7,5,3,4,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,5,3,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,5,4,3,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,7,5,4,6,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,7,5,6,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,5,6,4,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,7,6,3,4,5] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,6,3,5,4] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,7,6,4,3,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,7,6,4,5,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,7,6,5,3,4] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,7,6,5,4,3] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,3,2,4,5,6,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,4,5,7,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,4,6,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,4,6,7,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,4,7,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,4,7,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,5,4,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,5,4,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,5,6,4,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,5,6,7,4] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,5,7,4,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,5,7,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,6,4,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,6,4,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,6,5,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,6,5,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,6,7,4,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,6,7,5,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,7,4,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,7,4,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,7,5,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,7,5,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,7,6,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,7,6,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,4,2,5,6,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,2,5,7,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,2,6,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,2,6,7,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,2,7,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,2,7,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,5,2,6,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,5,2,7,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,5,6,2,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,5,6,7,2] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,5,7,2,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,5,7,6,2] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,6,2,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,6,2,7,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,6,5,2,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,6,5,7,2] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,6,7,2,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,6,7,5,2] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,7,2,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,7,2,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,7,5,2,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,7,5,6,2] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,7,6,2,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,7,6,5,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,5,2,4,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,2,4,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,2,6,4,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,2,6,7,4] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,2,7,4,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,2,7,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,4,2,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,4,2,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,4,6,2,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,4,6,7,2] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,4,7,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,4,7,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,6,2,4,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,6,2,7,4] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,6,4,2,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,6,4,7,2] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,6,7,2,4] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,6,7,4,2] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,7,2,4,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,7,2,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,7,4,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,7,4,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,7,6,2,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,7,6,4,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,6,2,4,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,2,4,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,2,5,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,2,5,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,2,7,4,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,2,7,5,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,4,2,5,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,4,2,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,4,5,2,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,4,5,7,2] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,4,7,2,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,4,7,5,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,5,2,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,5,2,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,5,4,2,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,6,5,4,7,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,6,5,7,2,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,5,7,4,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,6,7,2,4,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,7,2,5,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,7,4,2,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,7,4,5,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,7,5,2,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,7,5,4,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,7,2,4,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,2,4,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,2,5,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,2,5,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,2,6,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,2,6,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,7,4,2,5,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,4,2,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,4,5,2,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,4,5,6,2] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,4,6,2,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,4,6,5,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,7,5,2,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,5,2,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,5,4,2,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,7,5,4,6,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,7,5,6,2,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,5,6,4,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,7,6,2,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,6,2,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,7,6,4,2,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,7,6,4,5,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,7,6,5,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,7,6,5,4,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,4,2,3,5,6,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,3,5,7,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,3,6,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,3,6,7,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,3,7,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,3,7,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,5,3,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,5,3,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,5,6,3,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,5,6,7,3] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,5,7,3,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,5,7,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,6,3,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,6,3,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,6,5,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,6,5,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,6,7,3,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,6,7,5,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,7,3,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,7,3,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,7,5,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,7,5,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,7,6,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,7,6,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,3,2,5,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,2,5,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,2,6,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,2,6,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,2,7,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,2,7,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,5,2,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,5,2,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,5,6,2,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,5,6,7,2] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,5,7,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,5,7,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,6,2,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,6,2,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,6,5,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,6,5,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,6,7,2,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,6,7,5,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,7,2,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,7,2,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,7,5,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,7,5,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,7,6,2,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,7,6,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,5,2,3,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,2,3,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,2,6,3,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,2,6,7,3] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,2,7,3,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,2,7,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,3,2,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,3,2,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,3,6,2,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,3,6,7,2] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,3,7,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,3,7,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,6,2,3,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,6,2,7,3] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,6,3,2,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,6,3,7,2] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,6,7,2,3] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,6,7,3,2] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,7,2,3,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,7,2,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,7,3,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,7,3,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,7,6,2,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,7,6,3,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,6,2,3,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,2,3,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,2,5,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,2,5,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,2,7,3,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,2,7,5,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,3,2,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,3,2,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,3,5,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,3,5,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,3,7,2,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,3,7,5,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,5,2,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,5,2,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,5,3,2,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,6,5,3,7,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,6,5,7,2,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,5,7,3,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,6,7,2,3,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,7,2,5,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,7,3,2,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,7,3,5,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,7,5,2,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,7,5,3,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,7,2,3,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,2,3,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,2,5,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,2,5,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,2,6,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,2,6,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,7,3,2,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,3,2,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,3,5,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,3,5,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,3,6,2,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,3,6,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,7,5,2,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,5,2,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,5,3,2,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,7,5,3,6,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,7,5,6,2,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,5,6,3,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,7,6,2,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,6,2,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,7,6,3,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,7,6,3,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,7,6,5,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,7,6,5,3,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,5,2,3,4,6,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,3,4,7,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,3,6,4,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,3,6,7,4] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,3,7,4,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,3,7,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,4,3,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,4,3,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,4,6,3,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,4,6,7,3] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,4,7,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,4,7,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,6,3,4,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,6,3,7,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,6,4,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,6,4,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,6,7,3,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,6,7,4,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,7,3,4,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,7,3,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,7,4,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,7,4,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,7,6,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,7,6,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,3,2,4,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,2,4,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,2,6,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,2,6,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,2,7,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,2,7,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,4,2,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,4,2,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,4,6,2,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,4,6,7,2] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,4,7,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,4,7,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,6,2,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,6,2,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,6,4,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,6,4,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,6,7,2,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,6,7,4,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,7,2,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,7,2,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,7,4,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,7,4,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,7,6,2,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,7,6,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,4,2,3,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,2,3,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,2,6,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,2,6,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,2,7,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,2,7,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,3,2,6,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,4,3,2,7,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,4,3,6,2,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,4,3,6,7,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,4,3,7,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,4,3,7,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,4,6,2,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,6,2,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,6,3,2,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,4,6,3,7,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,4,6,7,2,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,6,7,3,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,4,7,2,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,7,2,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,7,3,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,4,7,3,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,4,7,6,2,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,7,6,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,6,2,3,4,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,2,3,7,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,2,4,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,2,4,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,2,7,3,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,2,7,4,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,3,2,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,3,2,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,3,4,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,3,4,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,3,7,2,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,3,7,4,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,4,2,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,4,2,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,4,3,2,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,6,4,3,7,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,6,4,7,2,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,4,7,3,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,6,7,2,3,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,7,2,4,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,7,3,2,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,7,3,4,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,7,4,2,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,7,4,3,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,7,2,3,4,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,2,3,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,2,4,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,2,4,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,2,6,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,2,6,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,7,3,2,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,3,2,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,3,4,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,3,4,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,3,6,2,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,3,6,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,7,4,2,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,4,2,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,4,3,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,7,4,3,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,7,4,6,2,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,4,6,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,7,6,2,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,6,2,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,7,6,3,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,7,6,3,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,7,6,4,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,7,6,4,3,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,2,3,4,5,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,3,4,7,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,3,5,4,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,3,5,7,4] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,3,7,4,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,3,7,5,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,4,3,5,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,4,3,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,4,5,3,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,4,5,7,3] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,4,7,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,4,7,5,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,5,3,4,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,5,3,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,5,4,3,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,2,5,4,7,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,2,5,7,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,5,7,4,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,2,7,3,4,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,7,3,5,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,7,4,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,7,4,5,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,7,5,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,7,5,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,3,2,4,5,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,2,4,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,2,5,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,2,5,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,2,7,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,2,7,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,4,2,5,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,4,2,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,4,5,2,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,4,5,7,2] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,4,7,2,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,4,7,5,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,5,2,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,5,2,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,5,4,2,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,3,5,4,7,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,3,5,7,2,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,5,7,4,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,3,7,2,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,7,2,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,7,4,2,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,7,4,5,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,7,5,2,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,7,5,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,2,3,5,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,2,3,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,2,5,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,2,5,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,2,7,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,2,7,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,3,2,5,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,3,2,7,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,3,5,2,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,3,5,7,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,3,7,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,3,7,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,5,2,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,5,2,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,5,3,2,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,5,3,7,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,5,7,2,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,5,7,3,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,7,2,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,7,2,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,7,3,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,7,3,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,7,5,2,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,7,5,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,2,3,4,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,2,3,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,2,4,3,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,2,4,7,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,2,7,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,2,7,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,3,2,4,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,3,2,7,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,3,4,2,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,3,4,7,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,3,7,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,3,7,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,4,2,3,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,4,2,7,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,4,3,2,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,5,4,3,7,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,5,4,7,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,4,7,3,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,5,7,2,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,7,2,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,7,3,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,7,3,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,7,4,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,7,4,3,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,7,2,3,4,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,2,3,5,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,2,4,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,2,4,5,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,2,5,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,2,5,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,7,3,2,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,3,2,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,3,4,2,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,3,4,5,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,3,5,2,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,3,5,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,7,4,2,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,4,2,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,4,3,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,7,4,3,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,7,4,5,2,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,4,5,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,7,5,2,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,5,2,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,7,5,3,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,7,5,3,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,7,5,4,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,7,5,4,3,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,7,2,3,4,5,6] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,3,4,6,5] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,3,5,4,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,3,5,6,4] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,3,6,4,5] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,3,6,5,4] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,2,4,3,5,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,4,3,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,4,5,3,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,4,5,6,3] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,4,6,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,4,6,5,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,2,5,3,4,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,5,3,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,5,4,3,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,2,5,4,6,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,2,5,6,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,5,6,4,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,2,6,3,4,5] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,6,3,5,4] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,2,6,4,3,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,2,6,4,5,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,2,6,5,3,4] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,2,6,5,4,3] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,7,3,2,4,5,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,2,4,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,2,5,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,2,5,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,2,6,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,2,6,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,3,4,2,5,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,4,2,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,4,5,2,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,4,5,6,2] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,4,6,2,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,4,6,5,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,3,5,2,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,5,2,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,5,4,2,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,3,5,4,6,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,3,5,6,2,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,5,6,4,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,3,6,2,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,6,2,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,3,6,4,2,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,3,6,4,5,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,3,6,5,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,3,6,5,4,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,7,4,2,3,5,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,2,3,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,2,5,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,2,5,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,2,6,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,2,6,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,3,2,5,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,3,2,6,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,3,5,2,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,3,5,6,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,3,6,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,3,6,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,5,2,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,5,2,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,5,3,2,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,5,3,6,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,5,6,2,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,5,6,3,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,6,2,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,6,2,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,6,3,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,6,3,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,6,5,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,6,5,3,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,7,5,2,3,4,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,2,3,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,2,4,3,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,2,4,6,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,2,6,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,2,6,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,3,2,4,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,3,2,6,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,3,4,2,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,3,4,6,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,3,6,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,3,6,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,4,2,3,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,4,2,6,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,4,3,2,6] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,7,5,4,3,6,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,7,5,4,6,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,4,6,3,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,7,5,6,2,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,6,2,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,6,3,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,6,3,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,6,4,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,6,4,3,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,7,6,2,3,4,5] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,2,3,5,4] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,2,4,3,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,2,4,5,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,2,5,3,4] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,2,5,4,3] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,7,6,3,2,4,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,3,2,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,3,4,2,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,3,4,5,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,3,5,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,3,5,4,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,7,6,4,2,3,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,4,2,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,4,3,2,5] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,7,6,4,3,5,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,7,6,4,5,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,4,5,3,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,7,6,5,2,3,4] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,5,2,4,3] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,7,6,5,3,2,4] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,7,6,5,3,4,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,7,6,5,4,2,3] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,7,6,5,4,3,2] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[2,1,3,4,5,6,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,4,5,7,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,4,6,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,4,6,7,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,4,7,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,4,7,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,5,4,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,5,4,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,5,6,4,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,5,6,7,4] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,5,7,4,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,5,7,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,6,4,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,6,4,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,6,5,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,6,5,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,6,7,4,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,6,7,5,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,7,4,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,7,4,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,7,5,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,7,5,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,7,6,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,7,6,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,4,3,5,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,3,5,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,3,6,5,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,3,6,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,3,7,5,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,3,7,6,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,5,3,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,5,3,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,5,6,3,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,5,6,7,3] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,5,7,3,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,5,7,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,6,3,5,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,6,3,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,6,5,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,6,5,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,6,7,3,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,6,7,5,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,7,3,5,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,7,3,6,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,7,5,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,7,5,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,7,6,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,7,6,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,5,3,4,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,3,4,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,3,6,4,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,3,6,7,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,3,7,4,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,3,7,6,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,4,3,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,4,3,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,4,6,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,4,6,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,4,7,3,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,4,7,6,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,6,3,4,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,6,3,7,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,6,4,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,6,4,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,6,7,3,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,6,7,4,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,7,3,4,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,7,3,6,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,7,4,3,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,7,4,6,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,7,6,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,7,6,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,6,3,4,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,3,4,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,3,5,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,3,5,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,3,7,4,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,3,7,5,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,4,3,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,4,3,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,4,5,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,4,5,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,4,7,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,4,7,5,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,5,3,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,5,3,7,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,5,4,3,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,6,5,4,7,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,6,5,7,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,5,7,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,6,7,3,4,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,7,3,5,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,7,4,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,7,4,5,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,7,5,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,7,5,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,7,3,4,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,3,4,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,3,5,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,3,5,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,3,6,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,3,6,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,7,4,3,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,4,3,6,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,4,5,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,4,5,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,4,6,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,4,6,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,7,5,3,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,5,3,6,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,5,4,3,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,7,5,4,6,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,7,5,6,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,5,6,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,7,6,3,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,6,3,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,7,6,4,3,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,7,6,4,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,7,6,5,3,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,7,6,5,4,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,3,1,4,5,6,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,4,5,7,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,4,6,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,4,6,7,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,4,7,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,4,7,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,5,4,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,5,4,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,5,6,4,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,5,6,7,4] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,5,7,4,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,5,7,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,6,4,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,6,4,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,6,5,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,6,5,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,6,7,4,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,6,7,5,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,7,4,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,7,4,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,7,5,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,7,5,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,7,6,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,7,6,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,4,1,5,6,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,1,5,7,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,1,6,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,1,6,7,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,1,7,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,1,7,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,5,1,6,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,1,7,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,6,1,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,6,7,1] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,7,1,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,7,6,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,6,1,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,6,1,7,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,6,5,1,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,6,5,7,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,6,7,1,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,6,7,5,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,7,1,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,7,1,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,7,5,1,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,7,5,6,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,7,6,1,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,7,6,5,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,5,1,4,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,1,4,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,1,6,4,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,1,6,7,4] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,1,7,4,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,1,7,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,4,1,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,4,1,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,4,6,1,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,4,6,7,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,4,7,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,4,7,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,6,1,4,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,6,1,7,4] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,6,4,1,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,6,4,7,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,6,7,1,4] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,6,7,4,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,7,1,4,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,7,1,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,7,4,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,7,4,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,7,6,1,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,7,6,4,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,6,1,4,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,1,4,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,1,5,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,1,5,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,1,7,4,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,1,7,5,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,4,1,5,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,4,1,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,4,5,1,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,4,5,7,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,4,7,1,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,4,7,5,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,5,1,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,5,1,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,5,4,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,6,5,4,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,6,5,7,1,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,5,7,4,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,6,7,1,4,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,7,1,5,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,7,4,1,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,7,4,5,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,7,5,1,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,7,5,4,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,7,1,4,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,1,4,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,1,5,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,1,5,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,1,6,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,1,6,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,7,4,1,5,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,4,1,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,4,5,1,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,4,5,6,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,4,6,1,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,4,6,5,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,7,5,1,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,5,1,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,5,4,1,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,7,5,4,6,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,7,5,6,1,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,5,6,4,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,7,6,1,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,6,1,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,7,6,4,1,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,7,6,4,5,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,7,6,5,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,7,6,5,4,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,4,1,3,5,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,3,5,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,3,6,5,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,3,6,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,3,7,5,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,3,7,6,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,5,3,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,5,3,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,5,6,3,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,5,6,7,3] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,5,7,3,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,5,7,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,6,3,5,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,6,3,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,6,5,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,6,5,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,6,7,3,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,6,7,5,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,7,3,5,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,7,3,6,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,7,5,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,7,5,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,7,6,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,7,6,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,3,1,5,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,1,5,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,1,6,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,1,6,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,1,7,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,1,7,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,5,1,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,5,1,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,5,6,1,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,5,6,7,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,5,7,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,5,7,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,6,1,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,6,1,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,6,5,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,6,5,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,6,7,1,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,6,7,5,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,7,1,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,7,1,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,7,5,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,7,5,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,7,6,1,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,7,6,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,5,1,3,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,1,3,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,1,6,3,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,1,6,7,3] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,1,7,3,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,1,7,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,3,1,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,3,1,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,3,6,1,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,3,6,7,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,3,7,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,3,7,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,6,1,3,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,6,1,7,3] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,6,3,1,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,6,3,7,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,6,7,1,3] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,6,7,3,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,7,1,3,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,7,1,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,7,3,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,7,3,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,7,6,1,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,7,6,3,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,6,1,3,5,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,1,3,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,1,5,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,1,5,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,1,7,3,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,1,7,5,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,3,1,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,3,1,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,3,5,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,3,5,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,3,7,1,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,3,7,5,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,5,1,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,5,1,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,5,3,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,6,5,3,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,6,5,7,1,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,5,7,3,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,6,7,1,3,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,7,1,5,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,7,3,1,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,7,3,5,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,7,5,1,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,7,5,3,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,7,1,3,5,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,1,3,6,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,1,5,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,1,5,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,1,6,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,1,6,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,7,3,1,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,3,1,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,3,5,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,3,5,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,3,6,1,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,3,6,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,7,5,1,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,5,1,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,5,3,1,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,7,5,3,6,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,7,5,6,1,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,5,6,3,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,7,6,1,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,6,1,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,7,6,3,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,7,6,3,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,7,6,5,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,7,6,5,3,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,5,1,3,4,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,3,4,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,3,6,4,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,3,6,7,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,3,7,4,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,3,7,6,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,4,3,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,4,3,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,4,6,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,4,6,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,4,7,3,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,4,7,6,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,6,3,4,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,6,3,7,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,6,4,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,6,4,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,6,7,3,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,6,7,4,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,7,3,4,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,7,3,6,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,7,4,3,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,7,4,6,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,7,6,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,7,6,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,3,1,4,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,1,4,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,1,6,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,1,6,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,1,7,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,1,7,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,4,1,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,4,1,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,4,6,1,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,4,6,7,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,4,7,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,4,7,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,6,1,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,6,1,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,6,4,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,6,4,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,6,7,1,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,6,7,4,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,7,1,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,7,1,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,7,4,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,7,4,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,7,6,1,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,7,6,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,4,1,3,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,1,3,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,1,6,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,1,6,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,1,7,3,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,1,7,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,3,1,6,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,4,3,1,7,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,4,3,6,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,4,3,6,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,4,3,7,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,4,3,7,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,4,6,1,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,6,1,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,6,3,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,4,6,3,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,4,6,7,1,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,6,7,3,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,4,7,1,3,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,7,1,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,7,3,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,4,7,3,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,4,7,6,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,7,6,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,6,1,3,4,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,1,3,7,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,1,4,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,1,4,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,1,7,3,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,1,7,4,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,3,1,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,3,1,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,3,4,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,3,4,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,3,7,1,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,3,7,4,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,4,1,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,4,1,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,4,3,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,6,4,3,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,6,4,7,1,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,4,7,3,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,6,7,1,3,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,7,1,4,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,7,3,1,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,7,3,4,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,7,4,1,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,7,4,3,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,7,1,3,4,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,7,1,3,6,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,1,4,3,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,1,4,6,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,1,6,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,1,6,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,7,3,1,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,3,1,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,3,4,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,3,4,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,3,6,1,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,3,6,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,7,4,1,3,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,4,1,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,4,3,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,7,4,3,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,7,4,6,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,4,6,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,7,6,1,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,6,1,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,7,6,3,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,7,6,3,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,7,6,4,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,7,6,4,3,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,6,1,3,4,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,3,4,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,3,5,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,3,5,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,3,7,4,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,3,7,5,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,4,3,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,4,3,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,4,5,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,4,5,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,4,7,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,4,7,5,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,5,3,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,5,3,7,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,5,4,3,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,1,5,4,7,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,1,5,7,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,5,7,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,1,7,3,4,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,7,3,5,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,7,4,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,7,4,5,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,7,5,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,7,5,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,3,1,4,5,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,1,4,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,1,5,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,1,5,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,1,7,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,1,7,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,4,1,5,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,4,1,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,4,5,1,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,4,5,7,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,4,7,1,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,4,7,5,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,5,1,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,5,1,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,5,4,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,3,5,4,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,3,5,7,1,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,5,7,4,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,3,7,1,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,7,1,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,7,4,1,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,7,4,5,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,7,5,1,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,7,5,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,4,1,3,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,1,3,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,1,5,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,1,5,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,1,7,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,1,7,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,3,1,5,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,4,3,1,7,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,4,3,5,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,4,3,5,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,4,3,7,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,4,3,7,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,4,5,1,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,5,1,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,5,3,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,4,5,3,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,4,5,7,1,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,5,7,3,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,4,7,1,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,7,1,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,7,3,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,4,7,3,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,4,7,5,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,7,5,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,1,3,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,1,3,7,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,1,4,3,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,1,4,7,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,1,7,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,1,7,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,3,1,4,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,3,1,7,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,3,4,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,3,4,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,3,7,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,3,7,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,4,1,3,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,4,1,7,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,4,3,1,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,6,5,4,3,7,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,6,5,4,7,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,4,7,3,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,6,5,7,1,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,7,1,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,7,3,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,7,3,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,7,4,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,7,4,3,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,6,7,1,3,4,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,1,3,5,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,1,4,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,1,4,5,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,1,5,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,1,5,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,7,3,1,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,3,1,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,3,4,1,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,3,4,5,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,3,5,1,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,3,5,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,7,4,1,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,4,1,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,4,3,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,7,4,3,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,7,4,5,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,4,5,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,7,5,1,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,5,1,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,7,5,3,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,7,5,3,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,7,5,4,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,7,5,4,3,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,7,1,3,4,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,3,4,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,3,5,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,3,5,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,3,6,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,3,6,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,1,4,3,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,4,3,6,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,4,5,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,4,5,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,4,6,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,4,6,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,1,5,3,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,5,3,6,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,5,4,3,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,1,5,4,6,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,1,5,6,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,5,6,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,1,6,3,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,6,3,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,1,6,4,3,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,1,6,4,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,1,6,5,3,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,1,6,5,4,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,7,3,1,4,5,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,1,4,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,1,5,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,1,5,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,1,6,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,1,6,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,3,4,1,5,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,4,1,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,4,5,1,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,4,5,6,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,4,6,1,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,4,6,5,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,3,5,1,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,5,1,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,5,4,1,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,3,5,4,6,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,3,5,6,1,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,5,6,4,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,3,6,1,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,6,1,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,3,6,4,1,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,3,6,4,5,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,3,6,5,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,3,6,5,4,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,7,4,1,3,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,1,3,6,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,1,5,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,1,5,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,1,6,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,1,6,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,4,3,1,5,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,4,3,1,6,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,4,3,5,1,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,4,3,5,6,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,4,3,6,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,4,3,6,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,4,5,1,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,5,1,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,5,3,1,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,4,5,3,6,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,4,5,6,1,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,5,6,3,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,4,6,1,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,6,1,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,4,6,3,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,4,6,3,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,4,6,5,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,4,6,5,3,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,7,5,1,3,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,5,1,3,6,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,5,1,4,3,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,1,4,6,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,1,6,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,5,1,6,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,3,1,4,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,3,1,6,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,3,4,1,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,3,4,6,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,3,6,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,3,6,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,4,1,3,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,4,1,6,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,4,3,1,6] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,7,5,4,3,6,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,7,5,4,6,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,4,6,3,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,7,5,6,1,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,5,6,1,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,6,3,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,6,3,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,6,4,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,6,4,3,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,7,6,1,3,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,1,3,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,1,4,3,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,1,4,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,1,5,3,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,1,5,4,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,7,6,3,1,4,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,3,1,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,3,4,1,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,3,4,5,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,3,5,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,3,5,4,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,7,6,4,1,3,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,4,1,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,4,3,1,5] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,7,6,4,3,5,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,7,6,4,5,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,4,5,3,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,7,6,5,1,3,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,5,1,4,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,7,6,5,3,1,4] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,7,6,5,3,4,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,7,6,5,4,1,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,7,6,5,4,3,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[3,1,2,4,5,6,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,4,5,7,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,4,6,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,4,6,7,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,4,7,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,4,7,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,5,4,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,5,4,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,5,6,4,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,5,6,7,4] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,5,7,4,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,5,7,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,6,4,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,6,4,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,6,5,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,6,5,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,6,7,4,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,6,7,5,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,7,4,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,7,4,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,7,5,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,7,5,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,7,6,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,7,6,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,4,2,5,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,2,5,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,2,6,5,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,2,6,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,2,7,5,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,2,7,6,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,4,5,2,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,5,2,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,5,6,2,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,5,6,7,2] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,5,7,2,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,5,7,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,4,6,2,5,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,6,2,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,6,5,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,4,6,5,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,4,6,7,2,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,6,7,5,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,4,7,2,5,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,7,2,6,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,4,7,5,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,4,7,5,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,4,7,6,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,4,7,6,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,5,2,4,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,2,4,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,2,6,4,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,2,6,7,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,2,7,4,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,2,7,6,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,4,2,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,4,2,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,4,6,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,4,6,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,4,7,2,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,4,7,6,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,6,2,4,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,6,2,7,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,6,4,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,6,4,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,6,7,2,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,6,7,4,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,7,2,4,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,7,2,6,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,7,4,2,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,7,4,6,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,7,6,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,7,6,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,6,2,4,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,2,4,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,2,5,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,2,5,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,2,7,4,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,2,7,5,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,4,2,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,4,2,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,4,5,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,4,5,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,4,7,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,4,7,5,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,5,2,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,5,2,7,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,5,4,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,6,5,4,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,6,5,7,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,5,7,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,6,7,2,4,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,7,2,5,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,7,4,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,7,4,5,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,7,5,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,7,5,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,7,2,4,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,2,4,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,2,5,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,2,5,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,2,6,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,2,6,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,7,4,2,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,4,2,6,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,4,5,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,4,5,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,4,6,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,4,6,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,7,5,2,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,5,2,6,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,5,4,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,7,5,4,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,7,5,6,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,5,6,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,7,6,2,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,6,2,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,7,6,4,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,7,6,4,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,7,6,5,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,7,6,5,4,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,2,1,4,5,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,4,5,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,4,6,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,4,6,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,4,7,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,4,7,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,5,4,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,5,4,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,5,6,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,5,6,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,5,7,4,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,5,7,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,6,4,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,6,4,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,6,5,4,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,6,5,7,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,6,7,4,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,6,7,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,7,4,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,7,4,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,7,5,4,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,7,5,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,7,6,4,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,7,6,5,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,2,4,1,5,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,1,5,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,1,6,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,1,6,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,1,7,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,1,7,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,5,1,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,5,1,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,5,6,1,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,5,6,7,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,5,7,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,5,7,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,6,1,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,6,1,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,6,5,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,6,5,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,6,7,1,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,6,7,5,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,7,1,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,7,1,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,7,5,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,7,5,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,7,6,1,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,7,6,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,5,1,4,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,1,4,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,1,6,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,1,6,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,1,7,4,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,1,7,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,4,1,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,4,1,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,4,6,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,4,6,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,4,7,1,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,4,7,6,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,6,1,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,6,1,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,6,4,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,6,4,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,6,7,1,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,6,7,4,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,7,1,4,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,7,1,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,7,4,1,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,7,4,6,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,7,6,1,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,7,6,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,6,1,4,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,1,4,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,1,5,4,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,1,5,7,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,1,7,4,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,1,7,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,4,1,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,4,1,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,4,5,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,4,5,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,4,7,1,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,4,7,5,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,5,1,4,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,5,1,7,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,5,4,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,6,5,4,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,6,5,7,1,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,5,7,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,6,7,1,4,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,7,1,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,7,4,1,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,7,4,5,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,7,5,1,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,7,5,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,7,1,4,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,1,4,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,1,5,4,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,1,5,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,1,6,4,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,1,6,5,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,2,7,4,1,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,4,1,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,4,5,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,4,5,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,4,6,1,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,4,6,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,7,5,1,4,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,5,1,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,5,4,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,7,5,4,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,7,5,6,1,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,5,6,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,7,6,1,4,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,6,1,5,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,2,7,6,4,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,7,6,4,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,7,6,5,1,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,2,7,6,5,4,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,4,1,2,5,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,2,5,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,2,6,5,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,2,6,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,2,7,5,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,2,7,6,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,5,2,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,5,2,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,5,6,2,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,5,6,7,2] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,5,7,2,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,5,7,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,6,2,5,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,6,2,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,6,5,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,6,5,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,6,7,2,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,6,7,5,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,7,2,5,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,7,2,6,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,7,5,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,7,5,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,7,6,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,7,6,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,2,1,5,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,1,5,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,1,6,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,1,6,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,1,7,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,1,7,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,5,1,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,5,1,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,5,6,1,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,5,6,7,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,5,7,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,5,7,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,6,1,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,6,1,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,6,5,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,6,5,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,6,7,1,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,6,7,5,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,7,1,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,7,1,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,7,5,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,7,5,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,7,6,1,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,7,6,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,5,1,2,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,1,2,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,1,6,2,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,1,6,7,2] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,1,7,2,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,1,7,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,2,1,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,2,1,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,2,6,1,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,2,6,7,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,2,7,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,2,7,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,6,1,2,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,6,1,7,2] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,6,2,1,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,6,2,7,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,6,7,1,2] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,6,7,2,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,7,1,2,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,7,1,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,7,2,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,7,2,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,7,6,1,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,7,6,2,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,6,1,2,5,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,1,2,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,1,5,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,1,5,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,1,7,2,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,1,7,5,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,2,1,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,2,1,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,2,5,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,2,5,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,2,7,1,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,2,7,5,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,5,1,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,5,1,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,5,2,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,6,5,2,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,6,5,7,1,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,5,7,2,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,6,7,1,2,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,7,1,5,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,7,2,1,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,7,2,5,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,7,5,1,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,7,5,2,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,7,1,2,5,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,7,1,2,6,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,1,5,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,1,5,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,1,6,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,1,6,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,7,2,1,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,2,1,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,2,5,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,2,5,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,2,6,1,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,2,6,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,7,5,1,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,5,1,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,5,2,1,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,7,5,2,6,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,7,5,6,1,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,5,6,2,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,7,6,1,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,6,1,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,7,6,2,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,7,6,2,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,7,6,5,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,7,6,5,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,5,1,2,4,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,2,4,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,2,6,4,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,2,6,7,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,2,7,4,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,2,7,6,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,4,2,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,4,2,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,4,6,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,4,6,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,4,7,2,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,4,7,6,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,6,2,4,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,6,2,7,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,6,4,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,6,4,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,6,7,2,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,6,7,4,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,7,2,4,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,7,2,6,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,7,4,2,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,7,4,6,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,7,6,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,7,6,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,2,1,4,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,1,4,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,1,6,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,1,6,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,1,7,4,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,1,7,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,4,1,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,4,1,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,4,6,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,4,6,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,4,7,1,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,4,7,6,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,6,1,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,6,1,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,6,4,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,6,4,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,6,7,1,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,6,7,4,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,7,1,4,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,7,1,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,7,4,1,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,7,4,6,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,7,6,1,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,7,6,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,1,2,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,1,2,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,1,6,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,1,6,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,1,7,2,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,1,7,6,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,2,1,6,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,2,1,7,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,2,6,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,2,6,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,2,7,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,2,7,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,6,1,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,6,1,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,6,2,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,6,2,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,6,7,1,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,6,7,2,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,7,1,2,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,7,1,6,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,7,2,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,7,2,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,7,6,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,7,6,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,6,1,2,4,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,1,2,7,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,1,4,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,1,4,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,1,7,2,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,1,7,4,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,2,1,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,2,1,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,2,4,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,2,4,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,2,7,1,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,2,7,4,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,4,1,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,4,1,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,4,2,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,6,4,2,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,6,4,7,1,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,4,7,2,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,6,7,1,2,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,7,1,4,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,7,2,1,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,7,2,4,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,7,4,1,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,7,4,2,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,7,1,2,4,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,1,2,6,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,1,4,2,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,1,4,6,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,1,6,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,1,6,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,7,2,1,4,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,2,1,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,2,4,1,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,2,4,6,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,2,6,1,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,2,6,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,7,4,1,2,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,4,1,6,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,4,2,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,7,4,2,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,7,4,6,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,4,6,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,7,6,1,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,6,1,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,7,6,2,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,7,6,2,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,7,6,4,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,7,6,4,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,6,1,2,4,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,2,4,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,2,5,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,2,5,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,2,7,4,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,2,7,5,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,4,2,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,4,2,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,4,5,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,4,5,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,4,7,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,4,7,5,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,5,2,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,5,2,7,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,5,4,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,1,5,4,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,1,5,7,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,5,7,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,1,7,2,4,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,7,2,5,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,7,4,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,7,4,5,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,7,5,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,7,5,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,2,1,4,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,1,4,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,1,5,4,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,1,5,7,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,1,7,4,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,1,7,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,4,1,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,4,1,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,4,5,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,4,5,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,4,7,1,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,4,7,5,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,5,1,4,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,5,1,7,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,5,4,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,2,5,4,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,2,5,7,1,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,5,7,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,2,7,1,4,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,7,1,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,7,4,1,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,7,4,5,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,7,5,1,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,7,5,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,1,2,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,1,2,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,1,5,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,1,5,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,1,7,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,1,7,5,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,2,1,5,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,2,1,7,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,2,5,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,2,5,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,2,7,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,2,7,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,5,1,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,5,1,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,5,2,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,5,2,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,5,7,1,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,5,7,2,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,7,1,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,7,1,5,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,7,2,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,7,2,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,7,5,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,7,5,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,5,1,2,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,1,2,7,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,1,4,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,5,1,4,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,5,1,7,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,1,7,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,5,2,1,4,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,5,2,1,7,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,5,2,4,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,5,2,4,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,5,2,7,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,5,2,7,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,5,4,1,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,5,4,1,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,5,4,2,1,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,6,5,4,2,7,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,6,5,4,7,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,5,4,7,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,6,5,7,1,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,7,1,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,5,7,2,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,5,7,2,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,5,7,4,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,5,7,4,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,6,7,1,2,4,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,1,2,5,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,1,4,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,1,4,5,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,1,5,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,1,5,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,7,2,1,4,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,2,1,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,2,4,1,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,2,4,5,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,2,5,1,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,2,5,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,7,4,1,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,4,1,5,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,4,2,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,7,4,2,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,7,4,5,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,4,5,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,7,5,1,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,5,1,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,7,5,2,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,7,5,2,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,7,5,4,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,7,5,4,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,7,1,2,4,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,2,4,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,2,5,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,2,5,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,2,6,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,2,6,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,1,4,2,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,4,2,6,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,4,5,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,4,5,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,4,6,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,4,6,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,1,5,2,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,5,2,6,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,5,4,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,1,5,4,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,1,5,6,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,5,6,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,1,6,2,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,6,2,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,1,6,4,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,1,6,4,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,1,6,5,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,1,6,5,4,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,7,2,1,4,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,1,4,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,1,5,4,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,1,5,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,1,6,4,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,1,6,5,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,7,2,4,1,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,4,1,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,4,5,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,4,5,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,4,6,1,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,4,6,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,2,5,1,4,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,5,1,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,5,4,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,2,5,4,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,2,5,6,1,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,5,6,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,2,6,1,4,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,6,1,5,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,7,2,6,4,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,2,6,4,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,2,6,5,1,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,7,2,6,5,4,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,7,4,1,2,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,1,2,6,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,1,5,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,1,5,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,1,6,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,1,6,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,4,2,1,5,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,4,2,1,6,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,4,2,5,1,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,4,2,5,6,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,4,2,6,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,4,2,6,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,4,5,1,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,5,1,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,5,2,1,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,4,5,2,6,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,4,5,6,1,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,5,6,2,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,4,6,1,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,6,1,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,4,6,2,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,4,6,2,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,4,6,5,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,4,6,5,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,7,5,1,2,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,1,2,6,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,1,4,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,5,1,4,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,5,1,6,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,1,6,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,5,2,1,4,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,5,2,1,6,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,5,2,4,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,5,2,4,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,5,2,6,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,5,2,6,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,5,4,1,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,5,4,1,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,5,4,2,1,6] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,7,5,4,2,6,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,7,5,4,6,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,5,4,6,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,7,5,6,1,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,6,1,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,5,6,2,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,5,6,2,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,5,6,4,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,5,6,4,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,7,6,1,2,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,1,2,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,6,1,4,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,6,1,4,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,6,1,5,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,6,1,5,4,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,7,6,2,1,4,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,6,2,1,5,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,7,6,2,4,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,6,2,4,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,6,2,5,1,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,7,6,2,5,4,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,7,6,4,1,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,6,4,1,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,6,4,2,1,5] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,7,6,4,2,5,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,7,6,4,5,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,6,4,5,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,7,6,5,1,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,6,5,1,4,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,7,6,5,2,1,4] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,7,6,5,2,4,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,7,6,5,4,1,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,7,6,5,4,2,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[4,1,2,3,5,6,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,3,5,7,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,3,6,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,3,6,7,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,3,7,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,3,7,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,5,3,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,5,3,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,5,6,3,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,5,6,7,3] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,5,7,3,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,5,7,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,6,3,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,6,3,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,6,5,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,6,5,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,6,7,3,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,6,7,5,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,7,3,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,7,3,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,7,5,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,7,5,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,7,6,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,7,6,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,3,2,5,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,2,5,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,2,6,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,2,6,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,2,7,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,2,7,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,5,2,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,5,2,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,5,6,2,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,5,6,7,2] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,5,7,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,5,7,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,6,2,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,6,2,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,6,5,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,6,5,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,6,7,2,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,6,7,5,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,7,2,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,7,2,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,7,5,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,7,5,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,7,6,2,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,7,6,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,5,2,3,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,2,3,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,2,6,3,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,2,6,7,3] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,2,7,3,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,2,7,6,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,3,2,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,3,2,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,3,6,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,3,6,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,3,7,2,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,3,7,6,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,6,2,3,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,6,2,7,3] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,6,3,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,6,3,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,6,7,2,3] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,6,7,3,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,7,2,3,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,7,2,6,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,7,3,2,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,7,3,6,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,7,6,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,7,6,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,6,2,3,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,2,3,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,2,5,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,2,5,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,2,7,3,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,2,7,5,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,3,2,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,3,2,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,3,5,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,3,5,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,3,7,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,3,7,5,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,5,2,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,5,2,7,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,5,3,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,6,5,3,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,6,5,7,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,5,7,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,6,7,2,3,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,7,2,5,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,7,3,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,7,3,5,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,7,5,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,7,5,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,7,2,3,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,2,3,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,2,5,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,2,5,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,2,6,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,2,6,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,7,3,2,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,3,2,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,3,5,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,3,5,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,3,6,2,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,3,6,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,7,5,2,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,5,2,6,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,5,3,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,7,5,3,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,7,5,6,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,5,6,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,7,6,2,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,6,2,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,7,6,3,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,7,6,3,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,7,6,5,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,7,6,5,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,2,1,3,5,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,3,5,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,3,6,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,3,6,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,3,7,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,3,7,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,5,3,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,5,3,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,5,6,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,5,6,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,5,7,3,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,5,7,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,6,3,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,6,3,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,6,5,3,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,6,5,7,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,6,7,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,6,7,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,7,3,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,7,3,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,7,5,3,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,7,5,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,7,6,3,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,7,6,5,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,2,3,1,5,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,1,5,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,1,6,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,1,6,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,1,7,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,1,7,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,5,1,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,5,1,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,5,6,1,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,5,6,7,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,5,7,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,5,7,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,6,1,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,6,1,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,6,5,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,6,5,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,6,7,1,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,6,7,5,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,7,1,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,7,1,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,7,5,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,7,5,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,7,6,1,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,7,6,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,5,1,3,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,1,3,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,1,6,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,1,6,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,1,7,3,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,1,7,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,3,1,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,3,1,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,3,6,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,3,6,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,3,7,1,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,3,7,6,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,6,1,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,6,1,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,6,3,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,6,3,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,6,7,1,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,6,7,3,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,7,1,3,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,7,1,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,7,3,1,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,7,3,6,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,7,6,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,7,6,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,6,1,3,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,1,3,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,1,5,3,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,1,5,7,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,1,7,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,1,7,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,3,1,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,3,1,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,3,5,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,3,5,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,3,7,1,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,3,7,5,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,5,1,3,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,5,1,7,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,5,3,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,6,5,3,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,6,5,7,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,5,7,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,6,7,1,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,7,1,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,7,3,1,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,7,3,5,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,7,5,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,7,5,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,7,1,3,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,1,3,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,1,5,3,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,1,5,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,1,6,3,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,1,6,5,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,2,7,3,1,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,3,1,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,3,5,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,3,5,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,3,6,1,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,3,6,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,7,5,1,3,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,5,1,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,5,3,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,7,5,3,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,7,5,6,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,5,6,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,7,6,1,3,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,6,1,5,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,2,7,6,3,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,7,6,3,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,7,6,5,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,2,7,6,5,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,3,1,2,5,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,2,5,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,2,6,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,2,6,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,2,7,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,2,7,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,5,2,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,5,2,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,5,6,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,5,6,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,5,7,2,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,5,7,6,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,6,2,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,6,2,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,6,5,2,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,6,5,7,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,6,7,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,6,7,5,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,7,2,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,7,2,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,7,5,2,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,7,5,6,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,7,6,2,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,7,6,5,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,2,1,5,6,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,1,5,7,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,1,6,5,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,1,6,7,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,1,7,5,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,1,7,6,5] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,2,5,1,6,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,5,1,7,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,5,6,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,5,6,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,5,7,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,5,7,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,6,1,5,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,6,1,7,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,6,5,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,6,5,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,6,7,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,6,7,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,7,1,5,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,7,1,6,5] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,2,7,5,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,7,5,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,7,6,1,5] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,2,7,6,5,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,5,1,2,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,1,2,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,1,6,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,1,6,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,1,7,2,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,1,7,6,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,2,1,6,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,5,2,1,7,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,5,2,6,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,5,2,6,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,5,2,7,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,5,2,7,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,5,6,1,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,6,1,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,6,2,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,5,6,2,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,5,6,7,1,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,6,7,2,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,5,7,1,2,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,7,1,6,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,7,2,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,5,7,2,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,5,7,6,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,7,6,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,6,1,2,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,1,2,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,1,5,2,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,1,5,7,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,1,7,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,1,7,5,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,2,1,5,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,6,2,1,7,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,6,2,5,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,6,2,5,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,6,2,7,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,6,2,7,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,6,5,1,2,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,5,1,7,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,5,2,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,6,5,2,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,6,5,7,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,5,7,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,6,7,1,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,7,1,5,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,7,2,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,6,7,2,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,6,7,5,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,7,5,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,7,1,2,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,1,2,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,1,5,2,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,1,5,6,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,1,6,2,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,1,6,5,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,7,2,1,5,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,7,2,1,6,5] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,7,2,5,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,7,2,5,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,7,2,6,1,5] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,7,2,6,5,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,7,5,1,2,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,5,1,6,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,5,2,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,7,5,2,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,7,5,6,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,5,6,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,7,6,1,2,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,6,1,5,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,7,6,2,1,5] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,7,6,2,5,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,7,6,5,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,7,6,5,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,5,1,2,3,6,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,2,3,7,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,2,6,3,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,2,6,7,3] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,2,7,3,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,2,7,6,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,3,2,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,3,2,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,3,6,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,3,6,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,3,7,2,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,3,7,6,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,6,2,3,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,6,2,7,3] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,6,3,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,6,3,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,6,7,2,3] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,6,7,3,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,7,2,3,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,7,2,6,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,7,3,2,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,7,3,6,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,7,6,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,7,6,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,2,1,3,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,1,3,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,1,6,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,1,6,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,1,7,3,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,1,7,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,3,1,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,3,1,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,3,6,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,3,6,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,3,7,1,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,3,7,6,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,6,1,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,6,1,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,6,3,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,6,3,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,6,7,1,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,6,7,3,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,7,1,3,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,7,1,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,7,3,1,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,7,3,6,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,7,6,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,7,6,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,1,2,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,1,2,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,1,6,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,1,6,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,1,7,2,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,1,7,6,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,2,1,6,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,2,1,7,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,2,6,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,2,6,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,2,7,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,2,7,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,6,1,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,6,1,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,6,2,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,6,2,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,6,7,1,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,6,7,2,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,7,1,2,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,7,1,6,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,7,2,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,7,2,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,7,6,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,7,6,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,6,1,2,3,7] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,1,2,7,3] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,1,3,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,1,3,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,1,7,2,3] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,1,7,3,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,2,1,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,2,1,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,2,3,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,2,3,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,2,7,1,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,2,7,3,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,3,1,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,3,1,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,3,2,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,6,3,2,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,6,3,7,1,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,3,7,2,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,6,7,1,2,3] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,7,1,3,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,7,2,1,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,7,2,3,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,7,3,1,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,7,3,2,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,7,1,2,3,6] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,1,2,6,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,1,3,2,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,1,3,6,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,1,6,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,1,6,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,7,2,1,3,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,2,1,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,2,3,1,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,2,3,6,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,2,6,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,2,6,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,7,3,1,2,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,3,1,6,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,3,2,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,7,3,2,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,7,3,6,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,3,6,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,7,6,1,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,6,1,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,7,6,2,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,7,6,2,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,7,6,3,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,7,6,3,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,6,1,2,3,5,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,2,3,7,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,2,5,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,2,5,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,2,7,3,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,2,7,5,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,3,2,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,3,2,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,3,5,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,3,5,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,3,7,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,3,7,5,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,5,2,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,5,2,7,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,5,3,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,1,5,3,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,1,5,7,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,5,7,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,1,7,2,3,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,7,2,5,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,7,3,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,7,3,5,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,7,5,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,7,5,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,2,1,3,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,1,3,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,1,5,3,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,1,5,7,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,1,7,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,1,7,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,3,1,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,3,1,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,3,5,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,3,5,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,3,7,1,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,3,7,5,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,5,1,3,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,5,1,7,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,5,3,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,2,5,3,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,2,5,7,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,5,7,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,2,7,1,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,7,1,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,7,3,1,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,7,3,5,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,7,5,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,7,5,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,3,1,2,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,1,2,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,1,5,2,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,1,5,7,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,1,7,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,1,7,5,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,2,1,5,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,3,2,1,7,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,3,2,5,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,3,2,5,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,3,2,7,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,3,2,7,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,3,5,1,2,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,5,1,7,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,5,2,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,3,5,2,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,3,5,7,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,5,7,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,3,7,1,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,7,1,5,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,7,2,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,3,7,2,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,3,7,5,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,7,5,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,1,2,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,1,2,7,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,1,3,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,1,3,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,1,7,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,1,7,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,2,1,3,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,2,1,7,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,2,3,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,2,3,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,2,7,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,2,7,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,3,1,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,3,1,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,3,2,1,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,6,5,3,2,7,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,6,5,3,7,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,3,7,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,6,5,7,1,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,7,1,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,7,2,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,7,2,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,7,3,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,7,3,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,6,7,1,2,3,5] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,1,2,5,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,1,3,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,1,3,5,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,1,5,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,1,5,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,7,2,1,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,2,1,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,2,3,1,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,2,3,5,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,2,5,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,2,5,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,7,3,1,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,3,1,5,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,3,2,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,7,3,2,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,7,3,5,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,3,5,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,7,5,1,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,5,1,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,7,5,2,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,7,5,2,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,7,5,3,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,7,5,3,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,7,1,2,3,5,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,2,3,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,2,5,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,2,5,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,2,6,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,2,6,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,1,3,2,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,3,2,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,3,5,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,3,5,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,3,6,2,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,3,6,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,1,5,2,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,5,2,6,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,5,3,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,1,5,3,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,1,5,6,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,5,6,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,1,6,2,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,6,2,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,1,6,3,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,1,6,3,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,1,6,5,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,1,6,5,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,7,2,1,3,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,1,3,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,1,5,3,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,1,5,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,1,6,3,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,1,6,5,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,2,3,1,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,3,1,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,3,5,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,3,5,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,3,6,1,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,3,6,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,2,5,1,3,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,5,1,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,5,3,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,2,5,3,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,2,5,6,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,5,6,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,2,6,1,3,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,6,1,5,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,2,6,3,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,2,6,3,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,2,6,5,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,2,6,5,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,7,3,1,2,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,1,2,6,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,1,5,2,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,1,5,6,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,1,6,2,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,1,6,5,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,3,2,1,5,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,3,2,1,6,5] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,3,2,5,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,3,2,5,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,3,2,6,1,5] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,3,2,6,5,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,3,5,1,2,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,5,1,6,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,5,2,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,3,5,2,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,3,5,6,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,5,6,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,3,6,1,2,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,6,1,5,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,3,6,2,1,5] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,3,6,2,5,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,3,6,5,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,3,6,5,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,7,5,1,2,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,1,2,6,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,1,3,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,5,1,3,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,5,1,6,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,1,6,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,5,2,1,3,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,5,2,1,6,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,5,2,3,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,5,2,3,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,5,2,6,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,5,2,6,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,5,3,1,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,5,3,1,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,5,3,2,1,6] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,7,5,3,2,6,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,7,5,3,6,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,5,3,6,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,7,5,6,1,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,6,1,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,5,6,2,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,5,6,2,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,5,6,3,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,5,6,3,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,7,6,1,2,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,1,2,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,6,1,3,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,6,1,3,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,6,1,5,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,6,1,5,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,7,6,2,1,3,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,6,2,1,5,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,6,2,3,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,6,2,3,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,6,2,5,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,6,2,5,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,7,6,3,1,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,6,3,1,5,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,6,3,2,1,5] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,7,6,3,2,5,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,7,6,3,5,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,6,3,5,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,7,6,5,1,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,6,5,1,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,7,6,5,2,1,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,7,6,5,2,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,7,6,5,3,1,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,7,6,5,3,2,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[5,1,2,3,4,6,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,3,4,7,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,3,6,4,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,3,6,7,4] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,3,7,4,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,3,7,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,4,3,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,4,3,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,4,6,3,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,4,6,7,3] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,4,7,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,4,7,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,6,3,4,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,6,3,7,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,6,4,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,6,4,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,6,7,3,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,6,7,4,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,7,3,4,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,7,3,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,7,4,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,7,4,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,7,6,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,7,6,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,3,2,4,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,2,4,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,2,6,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,2,6,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,2,7,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,2,7,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,4,2,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,4,2,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,4,6,2,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,4,6,7,2] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,4,7,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,4,7,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,6,2,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,6,2,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,6,4,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,6,4,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,6,7,2,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,6,7,4,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,7,2,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,7,2,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,7,4,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,7,4,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,7,6,2,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,7,6,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,4,2,3,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,2,3,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,2,6,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,2,6,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,2,7,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,2,7,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,3,2,6,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,4,3,2,7,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,4,3,6,2,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,4,3,6,7,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,4,3,7,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,4,3,7,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,4,6,2,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,6,2,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,6,3,2,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,4,6,3,7,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,4,6,7,2,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,6,7,3,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,4,7,2,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,7,2,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,7,3,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,4,7,3,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,4,7,6,2,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,7,6,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,6,2,3,4,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,2,3,7,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,2,4,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,2,4,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,2,7,3,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,2,7,4,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,3,2,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,3,2,7,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,3,4,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,3,4,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,3,7,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,3,7,4,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,4,2,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,4,2,7,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,4,3,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,6,4,3,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,6,4,7,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,4,7,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,6,7,2,3,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,7,2,4,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,7,3,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,7,3,4,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,7,4,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,7,4,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,7,2,3,4,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,2,3,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,2,4,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,2,4,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,2,6,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,2,6,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,7,3,2,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,3,2,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,3,4,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,3,4,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,3,6,2,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,3,6,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,7,4,2,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,4,2,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,4,3,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,7,4,3,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,7,4,6,2,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,4,6,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,7,6,2,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,6,2,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,7,6,3,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,7,6,3,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,7,6,4,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,7,6,4,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,2,1,3,4,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,3,4,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,3,6,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,3,6,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,3,7,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,3,7,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,4,3,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,4,3,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,4,6,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,4,6,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,4,7,3,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,4,7,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,6,3,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,6,3,7,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,6,4,3,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,6,4,7,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,6,7,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,6,7,4,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,7,3,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,7,3,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,7,4,3,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,7,4,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,7,6,3,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,7,6,4,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,2,3,1,4,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,1,4,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,1,6,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,1,6,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,1,7,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,1,7,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,4,1,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,4,1,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,4,6,1,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,4,6,7,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,4,7,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,4,7,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,6,1,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,6,1,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,6,4,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,6,4,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,6,7,1,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,6,7,4,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,7,1,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,7,1,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,7,4,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,7,4,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,7,6,1,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,7,6,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,4,1,3,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,1,3,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,1,6,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,1,6,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,1,7,3,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,1,7,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,3,1,6,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,4,3,1,7,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,4,3,6,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,4,3,6,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,4,3,7,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,4,3,7,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,4,6,1,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,6,1,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,6,3,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,4,6,3,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,4,6,7,1,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,6,7,3,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,4,7,1,3,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,7,1,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,7,3,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,4,7,3,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,4,7,6,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,7,6,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,6,1,3,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,1,3,7,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,1,4,3,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,1,4,7,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,1,7,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,1,7,4,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,3,1,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,3,1,7,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,3,4,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,3,4,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,3,7,1,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,3,7,4,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,4,1,3,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,4,1,7,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,4,3,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,6,4,3,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,6,4,7,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,4,7,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,6,7,1,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,7,1,4,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,7,3,1,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,7,3,4,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,7,4,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,7,4,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,7,1,3,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,1,3,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,1,4,3,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,1,4,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,1,6,3,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,1,6,4,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,2,7,3,1,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,3,1,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,3,4,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,3,4,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,3,6,1,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,3,6,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,7,4,1,3,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,4,1,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,4,3,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,7,4,3,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,7,4,6,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,4,6,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,7,6,1,3,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,6,1,4,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,2,7,6,3,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,7,6,3,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,7,6,4,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,2,7,6,4,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,3,1,2,4,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,2,4,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,2,6,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,2,6,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,2,7,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,2,7,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,4,2,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,4,2,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,4,6,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,4,6,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,4,7,2,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,4,7,6,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,6,2,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,6,2,7,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,6,4,2,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,6,4,7,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,6,7,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,6,7,4,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,7,2,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,7,2,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,7,4,2,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,7,4,6,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,7,6,2,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,7,6,4,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,2,1,4,6,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,1,4,7,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,1,6,4,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,1,6,7,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,1,7,4,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,1,7,6,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,2,4,1,6,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,4,1,7,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,4,6,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,4,6,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,4,7,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,4,7,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,6,1,4,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,6,1,7,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,6,4,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,6,4,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,6,7,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,6,7,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,7,1,4,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,7,1,6,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,2,7,4,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,7,4,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,7,6,1,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,2,7,6,4,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,4,1,2,6,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,1,2,7,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,1,6,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,1,6,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,1,7,2,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,1,7,6,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,2,1,6,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,4,2,1,7,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,4,2,6,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,4,2,6,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,4,2,7,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,4,2,7,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,4,6,1,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,6,1,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,6,2,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,4,6,2,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,4,6,7,1,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,6,7,2,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,4,7,1,2,6] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,7,1,6,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,7,2,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,4,7,2,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,4,7,6,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,7,6,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,6,1,2,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,1,2,7,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,1,4,2,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,1,4,7,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,1,7,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,1,7,4,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,2,1,4,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,6,2,1,7,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,6,2,4,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,6,2,4,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,6,2,7,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,6,2,7,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,6,4,1,2,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,4,1,7,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,4,2,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,6,4,2,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,6,4,7,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,4,7,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,6,7,1,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,7,1,4,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,7,2,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,6,7,2,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,6,7,4,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,7,4,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,7,1,2,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,1,2,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,1,4,2,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,1,4,6,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,1,6,2,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,1,6,4,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,7,2,1,4,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,7,2,1,6,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,7,2,4,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,7,2,4,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,7,2,6,1,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,7,2,6,4,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,7,4,1,2,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,4,1,6,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,4,2,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,7,4,2,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,7,4,6,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,4,6,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,7,6,1,2,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,6,1,4,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,7,6,2,1,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,7,6,2,4,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,7,6,4,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,7,6,4,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,1,2,3,6,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,2,3,7,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,2,6,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,2,6,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,2,7,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,2,7,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,3,2,6,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,1,3,2,7,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,1,3,6,2,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,1,3,6,7,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,1,3,7,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,1,3,7,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,1,6,2,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,6,2,7,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,6,3,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,1,6,3,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,1,6,7,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,6,7,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,1,7,2,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,7,2,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,7,3,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,1,7,3,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,1,7,6,2,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,7,6,3,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,2,1,3,6,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,1,3,7,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,1,6,3,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,1,6,7,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,1,7,3,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,1,7,6,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,2,3,1,6,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,3,1,7,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,3,6,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,3,6,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,3,7,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,3,7,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,6,1,3,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,6,1,7,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,6,3,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,6,3,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,6,7,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,6,7,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,7,1,3,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,7,1,6,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,2,7,3,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,7,3,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,7,6,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,2,7,6,3,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,3,1,2,6,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,1,2,7,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,1,6,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,1,6,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,1,7,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,1,7,6,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,3,2,1,6,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,4,3,2,1,7,6] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,3,2,6,1,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,4,3,2,6,7,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,4,3,2,7,1,6] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,3,2,7,6,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,3,6,1,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,6,1,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,6,2,1,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,4,3,6,2,7,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,4,3,6,7,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,6,7,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,4,3,7,1,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,7,1,6,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,3,7,2,1,6] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,3,7,2,6,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,3,7,6,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,3,7,6,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,6,1,2,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,1,2,7,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,1,3,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,1,3,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,1,7,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,1,7,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,2,1,3,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,2,1,7,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,2,3,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,2,3,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,2,7,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,2,7,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,3,1,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,3,1,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,3,2,1,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,4,6,3,2,7,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,4,6,3,7,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,3,7,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,4,6,7,1,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,7,1,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,7,2,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,7,2,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,7,3,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,7,3,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,4,7,1,2,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,1,2,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,1,3,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,7,1,3,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,7,1,6,2,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,1,6,3,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,7,2,1,3,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,7,2,1,6,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,7,2,3,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,7,2,3,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,7,2,6,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,7,2,6,3,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,7,3,1,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,7,3,1,6,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,7,3,2,1,6] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,7,3,2,6,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,7,3,6,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,7,3,6,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,7,6,1,2,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,6,1,3,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,7,6,2,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,7,6,2,3,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,7,6,3,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,7,6,3,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,6,1,2,3,4,7] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,2,3,7,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,2,4,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,2,4,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,2,7,3,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,2,7,4,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,3,2,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,3,2,7,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,3,4,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,3,4,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,3,7,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,3,7,4,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,4,2,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,4,2,7,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,4,3,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,1,4,3,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,1,4,7,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,4,7,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,1,7,2,3,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,7,2,4,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,7,3,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,7,3,4,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,7,4,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,7,4,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,2,1,3,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,1,3,7,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,1,4,3,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,1,4,7,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,1,7,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,1,7,4,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,3,1,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,3,1,7,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,3,4,1,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,3,4,7,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,3,7,1,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,3,7,4,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,4,1,3,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,4,1,7,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,4,3,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,2,4,3,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,2,4,7,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,4,7,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,2,7,1,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,7,1,4,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,7,3,1,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,7,3,4,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,7,4,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,7,4,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,3,1,2,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,1,2,7,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,1,4,2,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,1,4,7,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,1,7,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,1,7,4,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,2,1,4,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,3,2,1,7,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,3,2,4,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,3,2,4,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,3,2,7,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,3,2,7,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,3,4,1,2,7] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,4,1,7,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,4,2,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,3,4,2,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,3,4,7,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,4,7,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,3,7,1,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,7,1,4,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,7,2,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,3,7,2,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,3,7,4,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,7,4,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,4,1,2,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,1,2,7,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,1,3,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,4,1,3,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,4,1,7,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,1,7,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,4,2,1,3,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,4,2,1,7,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,4,2,3,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,4,2,3,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,4,2,7,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,4,2,7,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,4,3,1,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,4,3,1,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,4,3,2,1,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,6,4,3,2,7,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,6,4,3,7,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,4,3,7,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,6,4,7,1,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,7,1,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,4,7,2,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,4,7,2,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,4,7,3,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,4,7,3,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,6,7,1,2,3,4] => [4,3] => [[1,2,3,4],[5,6,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,1,2,4,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,1,3,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,1,3,4,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,1,4,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,1,4,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,2,1,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,2,1,4,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,2,3,1,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,2,3,4,1] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,2,4,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,2,4,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,3,1,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,3,1,4,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,3,2,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,3,2,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,3,4,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,3,4,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,4,1,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,4,1,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,4,2,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,4,2,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,4,3,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,4,3,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,7,1,2,3,4,6] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,2,3,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,2,4,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,2,4,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,2,6,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,2,6,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,1,3,2,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,3,2,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,3,4,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,3,4,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,3,6,2,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,3,6,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,1,4,2,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,4,2,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,4,3,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,1,4,3,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,1,4,6,2,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,4,6,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,1,6,2,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,6,2,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,1,6,3,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,1,6,3,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,1,6,4,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,1,6,4,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,7,2,1,3,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,1,3,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,1,4,3,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,1,4,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,1,6,3,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,1,6,4,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,2,3,1,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,3,1,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,3,4,1,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,3,4,6,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,3,6,1,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,3,6,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,2,4,1,3,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,4,1,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,4,3,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,2,4,3,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,2,4,6,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,4,6,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,2,6,1,3,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,6,1,4,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,2,6,3,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,2,6,3,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,2,6,4,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,2,6,4,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,7,3,1,2,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,1,2,6,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,1,4,2,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,1,4,6,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,1,6,2,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,1,6,4,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,3,2,1,4,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,3,2,1,6,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,3,2,4,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,3,2,4,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,3,2,6,1,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,3,2,6,4,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,3,4,1,2,6] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,4,1,6,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,4,2,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,3,4,2,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,3,4,6,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,4,6,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,3,6,1,2,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,6,1,4,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,3,6,2,1,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,3,6,2,4,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,3,6,4,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,3,6,4,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,7,4,1,2,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,1,2,6,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,1,3,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,4,1,3,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,4,1,6,2,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,1,6,3,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,4,2,1,3,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,4,2,1,6,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,4,2,3,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,4,2,3,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,4,2,6,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,4,2,6,3,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,4,3,1,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,4,3,1,6,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,4,3,2,1,6] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,7,4,3,2,6,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,7,4,3,6,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,4,3,6,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,7,4,6,1,2,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,6,1,3,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,4,6,2,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,4,6,2,3,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,4,6,3,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,4,6,3,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,7,6,1,2,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,6,1,2,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,1,3,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,1,3,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,1,4,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,1,4,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,7,6,2,1,3,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,2,1,4,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,6,2,3,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,2,3,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,2,4,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,6,2,4,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,7,6,3,1,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,3,1,4,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,6,3,2,1,4] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,7,6,3,2,4,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,7,6,3,4,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,6,3,4,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,7,6,4,1,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,4,1,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,7,6,4,2,1,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,7,6,4,2,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,7,6,4,3,1,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,7,6,4,3,2,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,1,2,3,4,5,7] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,3,4,7,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,3,5,4,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,3,5,7,4] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,3,7,4,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,3,7,5,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,4,3,5,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,4,3,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,4,5,3,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,4,5,7,3] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,4,7,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,4,7,5,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,5,3,4,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,5,3,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,5,4,3,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,2,5,4,7,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,2,5,7,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,5,7,4,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,2,7,3,4,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,7,3,5,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,7,4,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,7,4,5,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,7,5,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,7,5,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,3,2,4,5,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,2,4,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,2,5,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,2,5,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,2,7,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,2,7,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,4,2,5,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,4,2,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,4,5,2,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,4,5,7,2] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,4,7,2,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,4,7,5,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,5,2,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,5,2,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,5,4,2,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,3,5,4,7,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,3,5,7,2,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,5,7,4,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,3,7,2,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,7,2,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,7,4,2,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,7,4,5,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,7,5,2,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,7,5,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,4,2,3,5,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,2,3,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,2,5,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,2,5,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,2,7,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,2,7,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,3,2,5,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,4,3,2,7,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,4,3,5,2,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,4,3,5,7,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,4,3,7,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,4,3,7,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,4,5,2,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,5,2,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,5,3,2,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,4,5,3,7,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,4,5,7,2,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,5,7,3,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,4,7,2,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,7,2,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,7,3,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,4,7,3,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,4,7,5,2,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,7,5,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,2,3,4,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,2,3,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,2,4,3,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,2,4,7,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,2,7,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,2,7,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,3,2,4,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,3,2,7,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,3,4,2,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,3,4,7,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,3,7,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,3,7,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,4,2,3,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,4,2,7,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,4,3,2,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,1,5,4,3,7,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,1,5,4,7,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,4,7,3,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,1,5,7,2,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,7,2,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,7,3,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,7,3,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,7,4,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,7,4,3,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,1,7,2,3,4,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,2,3,5,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,2,4,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,2,4,5,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,2,5,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,2,5,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,7,3,2,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,3,2,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,3,4,2,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,3,4,5,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,3,5,2,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,3,5,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,7,4,2,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,4,2,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,4,3,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,7,4,3,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,7,4,5,2,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,4,5,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,7,5,2,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,5,2,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,7,5,3,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,7,5,3,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,7,5,4,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,7,5,4,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,2,1,3,4,5,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,3,4,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,3,5,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,3,5,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,3,7,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,3,7,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,4,3,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,4,3,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,4,5,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,4,5,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,4,7,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,4,7,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,5,3,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,5,3,7,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,5,4,3,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,1,5,4,7,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,1,5,7,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,5,7,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,1,7,3,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,7,3,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,7,4,3,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,7,4,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,7,5,3,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,7,5,4,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,2,3,1,4,5,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,1,4,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,1,5,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,1,5,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,1,7,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,1,7,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,4,1,5,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,4,1,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,4,5,1,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,4,5,7,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,4,7,1,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,4,7,5,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,5,1,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,5,1,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,5,4,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,3,5,4,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,3,5,7,1,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,5,7,4,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,3,7,1,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,7,1,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,7,4,1,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,7,4,5,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,7,5,1,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,7,5,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,4,1,3,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,1,3,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,1,5,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,1,5,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,1,7,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,1,7,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,3,1,5,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,4,3,1,7,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,4,3,5,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,4,3,5,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,4,3,7,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,4,3,7,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,4,5,1,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,5,1,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,5,3,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,4,5,3,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,4,5,7,1,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,5,7,3,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,4,7,1,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,7,1,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,7,3,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,4,7,3,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,4,7,5,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,7,5,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,1,3,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,5,1,3,7,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,5,1,4,3,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,1,4,7,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,1,7,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,5,1,7,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,3,1,4,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,3,1,7,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,3,4,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,3,4,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,3,7,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,3,7,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,4,1,3,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,4,1,7,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,4,3,1,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,2,5,4,3,7,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,2,5,4,7,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,4,7,3,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,2,5,7,1,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,5,7,1,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,7,3,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,7,3,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,7,4,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,7,4,3,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,2,7,1,3,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,1,3,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,1,4,3,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,1,4,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,1,5,3,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,1,5,4,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,2,7,3,1,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,3,1,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,3,4,1,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,3,4,5,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,3,5,1,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,3,5,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,7,4,1,3,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,4,1,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,4,3,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,7,4,3,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,7,4,5,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,4,5,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,7,5,1,3,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,5,1,4,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,2,7,5,3,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,7,5,3,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,7,5,4,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,2,7,5,4,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,3,1,2,4,5,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,2,4,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,2,5,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,2,5,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,2,7,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,2,7,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,4,2,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,4,2,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,4,5,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,4,5,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,4,7,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,4,7,5,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,5,2,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,5,2,7,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,5,4,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,1,5,4,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,1,5,7,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,5,7,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,1,7,2,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,7,2,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,7,4,2,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,7,4,5,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,7,5,2,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,7,5,4,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,3,2,1,4,5,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,1,4,7,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,1,5,4,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,1,5,7,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,1,7,4,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,1,7,5,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,3,2,4,1,5,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,4,1,7,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,4,5,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,4,5,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,4,7,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,4,7,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,5,1,4,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,5,1,7,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,5,4,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,5,4,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,5,7,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,5,7,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,7,1,4,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,7,1,5,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,3,2,7,4,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,7,4,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,7,5,1,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,3,2,7,5,4,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,3,4,1,2,5,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,1,2,7,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,1,5,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,1,5,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,1,7,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,1,7,5,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,2,1,5,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,4,2,1,7,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,4,2,5,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,4,2,5,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,4,2,7,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,4,2,7,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,4,5,1,2,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,5,1,7,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,5,2,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,4,5,2,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,4,5,7,1,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,5,7,2,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,4,7,1,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,7,1,5,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,7,2,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,4,7,2,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,4,7,5,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,7,5,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,1,2,4,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,1,2,7,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,1,4,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,1,4,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,1,7,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,1,7,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,2,1,4,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,2,1,7,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,2,4,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,2,4,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,2,7,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,2,7,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,4,1,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,4,1,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,4,2,1,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,3,5,4,2,7,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,3,5,4,7,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,4,7,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,3,5,7,1,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,7,1,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,7,2,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,7,2,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,7,4,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,7,4,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,3,7,1,2,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,1,2,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,1,4,2,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,1,4,5,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,1,5,2,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,1,5,4,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,3,7,2,1,4,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,7,2,1,5,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,3,7,2,4,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,7,2,4,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,7,2,5,1,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,3,7,2,5,4,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,3,7,4,1,2,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,4,1,5,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,4,2,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,7,4,2,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,7,4,5,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,4,5,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,7,5,1,2,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,5,1,4,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,3,7,5,2,1,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,3,7,5,2,4,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,3,7,5,4,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,3,7,5,4,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,1,2,3,5,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,2,3,7,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,2,5,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,2,5,7,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,2,7,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,2,7,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,3,2,5,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,3,2,7,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,3,5,2,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,3,5,7,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,3,7,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,3,7,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,5,2,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,5,2,7,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,5,3,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,5,3,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,5,7,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,5,7,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,7,2,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,7,2,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,7,3,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,7,3,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,7,5,2,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,7,5,3,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,2,1,3,5,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,1,3,7,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,1,5,3,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,1,5,7,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,1,7,3,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,1,7,5,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,2,3,1,5,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,3,1,7,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,3,5,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,3,5,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,3,7,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,3,7,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,5,1,3,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,5,1,7,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,5,3,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,5,3,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,5,7,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,5,7,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,7,1,3,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,7,1,5,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,2,7,3,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,7,3,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,7,5,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,2,7,5,3,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,3,1,2,5,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,1,2,7,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,1,5,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,1,5,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,1,7,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,1,7,5,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,3,2,1,5,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,4,3,2,1,7,5] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,3,2,5,1,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,4,3,2,5,7,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,4,3,2,7,1,5] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,3,2,7,5,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,3,5,1,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,5,1,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,5,2,1,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,4,3,5,2,7,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,4,3,5,7,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,5,7,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,4,3,7,1,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,7,1,5,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,3,7,2,1,5] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,3,7,2,5,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,3,7,5,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,3,7,5,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,5,1,2,3,7] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,1,2,7,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,1,3,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,1,3,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,1,7,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,1,7,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,2,1,3,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,2,1,7,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,2,3,1,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,2,3,7,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,2,7,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,2,7,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,3,1,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,3,1,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,3,2,1,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,4,5,3,2,7,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,4,5,3,7,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,3,7,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,4,5,7,1,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,7,1,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,7,2,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,7,2,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,7,3,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,7,3,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,4,7,1,2,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,1,2,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,1,3,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,7,1,3,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,7,1,5,2,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,1,5,3,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,7,2,1,3,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,7,2,1,5,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,7,2,3,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,7,2,3,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,7,2,5,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,7,2,5,3,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,7,3,1,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,7,3,1,5,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,7,3,2,1,5] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,7,3,2,5,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,7,3,5,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,7,3,5,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,7,5,1,2,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,5,1,3,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,7,5,2,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,7,5,2,3,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,7,5,3,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,7,5,3,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,1,2,3,4,7] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,2,3,7,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,2,4,3,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,2,4,7,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,2,7,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,2,7,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,3,2,4,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,3,2,7,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,3,4,2,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,3,4,7,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,3,7,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,3,7,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,4,2,3,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,4,2,7,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,4,3,2,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,1,4,3,7,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,1,4,7,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,4,7,3,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,1,7,2,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,7,2,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,7,3,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,7,3,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,7,4,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,7,4,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,2,1,3,4,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,2,1,3,7,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,2,1,4,3,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,2,1,4,7,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,2,1,7,3,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,2,1,7,4,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,2,3,1,4,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,2,3,1,7,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,2,3,4,1,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,2,3,4,7,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,2,3,7,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,2,3,7,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,2,4,1,3,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,2,4,1,7,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,2,4,3,1,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,2,4,3,7,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,2,4,7,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,2,4,7,3,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,2,7,1,3,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,2,7,1,4,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,2,7,3,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,2,7,3,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,2,7,4,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,2,7,4,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,3,1,2,4,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,3,1,2,7,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,3,1,4,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,3,1,4,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,3,1,7,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,3,1,7,4,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,3,2,1,4,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,3,2,1,7,4] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,3,2,4,1,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,3,2,4,7,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,3,2,7,1,4] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,3,2,7,4,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,3,4,1,2,7] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,3,4,1,7,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,3,4,2,1,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,3,4,2,7,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,3,4,7,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,3,4,7,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,3,7,1,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,3,7,1,4,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,3,7,2,1,4] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,3,7,2,4,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,3,7,4,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,3,7,4,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,4,1,2,3,7] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,4,1,2,7,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,4,1,3,2,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,4,1,3,7,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,4,1,7,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,4,1,7,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,4,2,1,3,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,4,2,1,7,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,4,2,3,1,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,4,2,3,7,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,4,2,7,1,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,4,2,7,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,4,3,1,2,7] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,4,3,1,7,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,4,3,2,1,7] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,5,4,3,2,7,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,5,4,3,7,1,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,4,3,7,2,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,5,4,7,1,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,4,7,1,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,4,7,2,1,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,4,7,2,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,4,7,3,1,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,4,7,3,2,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,5,7,1,2,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,1,2,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,1,3,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,1,3,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,1,4,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,1,4,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,7,2,1,3,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,2,1,4,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,7,2,3,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,2,3,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,2,4,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,7,2,4,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,7,3,1,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,3,1,4,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,7,3,2,1,4] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,7,3,2,4,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,7,3,4,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,7,3,4,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,7,4,1,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,4,1,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,7,4,2,1,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,7,4,2,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,7,4,3,1,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,7,4,3,2,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,7,1,2,3,4,5] => [5,2] => [[1,2,3,4,5],[6,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,2,3,5,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,2,4,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,2,4,5,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,2,5,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,2,5,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,1,3,2,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,3,2,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,3,4,2,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,3,4,5,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,3,5,2,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,3,5,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,1,4,2,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,4,2,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,4,3,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,1,4,3,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,1,4,5,2,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,4,5,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,1,5,2,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,5,2,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,1,5,3,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,1,5,3,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,1,5,4,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,1,5,4,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,2,1,3,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,1,3,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,1,4,3,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,1,4,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,1,5,3,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,1,5,4,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,2,3,1,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,3,1,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,3,4,1,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,3,4,5,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,3,5,1,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,3,5,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,2,4,1,3,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,4,1,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,4,3,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,2,4,3,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,2,4,5,1,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,4,5,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,2,5,1,3,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,5,1,4,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,2,5,3,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,2,5,3,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,2,5,4,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,2,5,4,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,3,1,2,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,1,2,5,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,1,4,2,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,1,4,5,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,1,5,2,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,1,5,4,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,3,2,1,4,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,3,2,1,5,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,3,2,4,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,3,2,4,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,3,2,5,1,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,3,2,5,4,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,3,4,1,2,5] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,4,1,5,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,4,2,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,3,4,2,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,3,4,5,1,2] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,4,5,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,3,5,1,2,4] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,5,1,4,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,3,5,2,1,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,3,5,2,4,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,3,5,4,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,3,5,4,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,4,1,2,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,1,2,5,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,1,3,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,1,3,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,1,5,2,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,1,5,3,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,4,2,1,3,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,2,1,5,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,4,2,3,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,2,3,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,2,5,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,4,2,5,3,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,4,3,1,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,3,1,5,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,4,3,2,1,5] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,4,3,2,5,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,4,3,5,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,4,3,5,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,4,5,1,2,3] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,5,1,3,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,4,5,2,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,4,5,2,3,1] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,4,5,3,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,4,5,3,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,5,1,2,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,5,1,2,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,5,1,3,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,5,1,3,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,5,1,4,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,5,1,4,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,5,2,1,3,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,5,2,1,4,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,5,2,3,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,5,2,3,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,5,2,4,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,5,2,4,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,5,3,1,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,5,3,1,4,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,5,3,2,1,4] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,5,3,2,4,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,5,3,4,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,5,3,4,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,5,4,1,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,5,4,1,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,5,4,2,1,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,5,4,2,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,5,4,3,1,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,5,4,3,2,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,1,2,3,4,5,6] => [6,1] => [[1,2,3,4,5,6],[7]] => [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,3,4,6,5] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,3,5,4,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,3,5,6,4] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,3,6,4,5] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,3,6,5,4] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,2,4,3,5,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,4,3,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,4,5,3,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,4,5,6,3] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,4,6,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,4,6,5,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,2,5,3,4,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,5,3,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,5,4,3,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,2,5,4,6,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,2,5,6,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,5,6,4,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,2,6,3,4,5] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,6,3,5,4] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,2,6,4,3,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,2,6,4,5,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,2,6,5,3,4] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,2,6,5,4,3] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,1,3,2,4,5,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,2,4,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,2,5,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,2,5,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,2,6,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,2,6,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,3,4,2,5,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,4,2,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,4,5,2,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,4,5,6,2] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,4,6,2,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,4,6,5,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,3,5,2,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,5,2,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,5,4,2,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,3,5,4,6,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,3,5,6,2,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,5,6,4,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,3,6,2,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,6,2,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,3,6,4,2,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,3,6,4,5,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,3,6,5,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,3,6,5,4,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,1,4,2,3,5,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,2,3,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,2,5,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,2,5,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,2,6,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,2,6,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,4,3,2,5,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,4,3,2,6,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,4,3,5,2,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,4,3,5,6,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,4,3,6,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,4,3,6,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,4,5,2,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,5,2,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,5,3,2,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,4,5,3,6,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,4,5,6,2,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,5,6,3,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,4,6,2,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,6,2,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,4,6,3,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,4,6,3,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,4,6,5,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,4,6,5,3,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,1,5,2,3,4,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,2,3,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,2,4,3,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,2,4,6,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,2,6,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,2,6,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,3,2,4,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,3,2,6,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,3,4,2,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,3,4,6,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,3,6,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,3,6,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,4,2,3,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,4,2,6,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,4,3,2,6] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,1,5,4,3,6,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,1,5,4,6,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,4,6,3,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,1,5,6,2,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,6,2,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,6,3,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,6,3,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,6,4,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,6,4,3,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,1,6,2,3,4,5] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,2,3,5,4] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,2,4,3,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,2,4,5,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,2,5,3,4] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,2,5,4,3] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,1,6,3,2,4,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,3,2,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,3,4,2,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,3,4,5,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,3,5,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,3,5,4,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,1,6,4,2,3,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,4,2,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,4,3,2,5] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,1,6,4,3,5,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,1,6,4,5,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,4,5,3,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,1,6,5,2,3,4] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,5,2,4,3] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,1,6,5,3,2,4] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,1,6,5,3,4,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,1,6,5,4,2,3] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,1,6,5,4,3,2] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,2,1,3,4,5,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,3,4,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,3,5,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,3,5,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,3,6,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,3,6,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,1,4,3,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,4,3,6,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,4,5,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,4,5,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,4,6,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,4,6,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,1,5,3,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,5,3,6,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,5,4,3,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,1,5,4,6,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,1,5,6,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,5,6,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,1,6,3,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,6,3,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,1,6,4,3,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,1,6,4,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,1,6,5,3,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,1,6,5,4,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,2,3,1,4,5,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,1,4,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,1,5,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,1,5,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,1,6,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,1,6,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,3,4,1,5,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,4,1,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,4,5,1,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,4,5,6,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,4,6,1,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,4,6,5,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,3,5,1,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,5,1,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,5,4,1,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,3,5,4,6,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,3,5,6,1,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,5,6,4,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,3,6,1,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,6,1,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,3,6,4,1,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,3,6,4,5,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,3,6,5,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,3,6,5,4,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,2,4,1,3,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,1,3,6,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,1,5,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,1,5,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,1,6,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,1,6,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,4,3,1,5,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,4,3,1,6,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,4,3,5,1,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,4,3,5,6,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,4,3,6,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,4,3,6,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,4,5,1,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,5,1,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,5,3,1,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,4,5,3,6,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,4,5,6,1,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,5,6,3,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,4,6,1,3,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,6,1,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,4,6,3,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,4,6,3,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,4,6,5,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,4,6,5,3,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,2,5,1,3,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,1,3,6,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,1,4,3,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,1,4,6,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,1,6,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,1,6,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,3,1,4,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,3,1,6,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,3,4,1,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,3,4,6,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,3,6,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,3,6,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,4,1,3,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,4,1,6,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,4,3,1,6] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,2,5,4,3,6,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,2,5,4,6,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,4,6,3,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,2,5,6,1,3,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,6,1,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,6,3,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,6,3,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,6,4,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,6,4,3,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,2,6,1,3,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,1,3,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,6,1,4,3,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,6,1,4,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,6,1,5,3,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,6,1,5,4,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,2,6,3,1,4,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,6,3,1,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,6,3,4,1,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,6,3,4,5,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,6,3,5,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,6,3,5,4,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,2,6,4,1,3,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,6,4,1,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,6,4,3,1,5] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,2,6,4,3,5,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,2,6,4,5,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,6,4,5,3,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,2,6,5,1,3,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,6,5,1,4,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,2,6,5,3,1,4] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,2,6,5,3,4,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,2,6,5,4,1,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,2,6,5,4,3,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,3,1,2,4,5,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,2,4,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,2,5,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,2,5,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,2,6,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,2,6,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,1,4,2,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,4,2,6,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,4,5,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,4,5,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,4,6,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,4,6,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,1,5,2,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,5,2,6,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,5,4,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,1,5,4,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,1,5,6,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,5,6,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,1,6,2,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,6,2,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,1,6,4,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,1,6,4,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,1,6,5,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,1,6,5,4,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,3,2,1,4,5,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,1,4,6,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,1,5,4,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,1,5,6,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,1,6,4,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,1,6,5,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,3,2,4,1,5,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,4,1,6,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,4,5,1,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,4,5,6,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,4,6,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,4,6,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,5,1,4,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,5,1,6,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,5,4,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,5,4,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,5,6,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,5,6,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,6,1,4,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,6,1,5,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,3,2,6,4,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,6,4,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,6,5,1,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,3,2,6,5,4,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,3,4,1,2,5,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,1,2,6,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,1,5,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,1,5,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,1,6,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,1,6,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,4,2,1,5,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,4,2,1,6,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,4,2,5,1,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,4,2,5,6,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,4,2,6,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,4,2,6,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,4,5,1,2,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,5,1,6,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,5,2,1,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,4,5,2,6,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,4,5,6,1,2] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,5,6,2,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,4,6,1,2,5] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,6,1,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,4,6,2,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,4,6,2,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,4,6,5,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,4,6,5,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,3,5,1,2,4,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,1,2,6,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,1,4,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,5,1,4,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,5,1,6,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,1,6,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,5,2,1,4,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,5,2,1,6,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,5,2,4,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,5,2,4,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,5,2,6,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,5,2,6,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,5,4,1,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,5,4,1,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,5,4,2,1,6] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,3,5,4,2,6,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,3,5,4,6,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,5,4,6,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,3,5,6,1,2,4] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,6,1,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,5,6,2,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,5,6,2,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,5,6,4,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,5,6,4,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,3,6,1,2,4,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,6,1,2,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,6,1,4,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,6,1,4,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,6,1,5,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,6,1,5,4,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,3,6,2,1,4,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,6,2,1,5,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,3,6,2,4,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,6,2,4,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,6,2,5,1,4] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,3,6,2,5,4,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,3,6,4,1,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,6,4,1,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,6,4,2,1,5] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,3,6,4,2,5,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,3,6,4,5,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,6,4,5,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,3,6,5,1,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,6,5,1,4,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,3,6,5,2,1,4] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,3,6,5,2,4,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,3,6,5,4,1,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,3,6,5,4,2,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,4,1,2,3,5,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,2,3,6,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,2,5,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,2,5,6,3] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,2,6,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,2,6,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,3,2,5,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,3,2,6,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,3,5,2,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,3,5,6,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,3,6,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,3,6,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,5,2,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,5,2,6,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,5,3,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,5,3,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,5,6,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,5,6,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,6,2,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,6,2,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,6,3,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,6,3,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,6,5,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,6,5,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,4,2,1,3,5,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,1,3,6,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,1,5,3,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,1,5,6,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,1,6,3,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,1,6,5,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,2,3,1,5,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,3,1,6,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,3,5,1,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,3,5,6,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,3,6,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,3,6,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,5,1,3,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,5,1,6,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,5,3,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,5,3,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,5,6,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,5,6,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,6,1,3,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,6,1,5,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,2,6,3,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,6,3,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,6,5,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,2,6,5,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,4,3,1,2,5,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,3,1,2,6,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,3,1,5,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,3,1,5,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,3,1,6,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,3,1,6,5,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,3,2,1,5,6] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,4,3,2,1,6,5] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,4,3,2,5,1,6] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,4,3,2,5,6,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,4,3,2,6,1,5] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,4,3,2,6,5,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,4,3,5,1,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,3,5,1,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,3,5,2,1,6] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,4,3,5,2,6,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,4,3,5,6,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,3,5,6,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,4,3,6,1,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,3,6,1,5,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,3,6,2,1,5] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,4,3,6,2,5,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,4,3,6,5,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,3,6,5,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,4,5,1,2,3,6] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,1,2,6,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,1,3,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,1,3,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,1,6,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,1,6,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,2,1,3,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,2,1,6,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,2,3,1,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,2,3,6,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,2,6,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,2,6,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,3,1,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,3,1,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,3,2,1,6] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,4,5,3,2,6,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,4,5,3,6,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,3,6,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,4,5,6,1,2,3] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,6,1,3,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,6,2,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,6,2,3,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,6,3,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,6,3,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,4,6,1,2,3,5] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,6,1,2,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,6,1,3,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,6,1,3,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,6,1,5,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,6,1,5,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,4,6,2,1,3,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,6,2,1,5,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,6,2,3,1,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,6,2,3,5,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,6,2,5,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,6,2,5,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,4,6,3,1,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,6,3,1,5,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,6,3,2,1,5] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,4,6,3,2,5,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,4,6,3,5,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,6,3,5,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,4,6,5,1,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,6,5,1,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,4,6,5,2,1,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,4,6,5,2,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,4,6,5,3,1,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,4,6,5,3,2,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,5,1,2,3,4,6] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,2,3,6,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,2,4,3,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,1,2,4,6,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,1,2,6,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,2,6,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,1,3,2,4,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,1,3,2,6,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,1,3,4,2,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,1,3,4,6,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,1,3,6,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,1,3,6,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,1,4,2,3,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,1,4,2,6,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,1,4,3,2,6] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,1,4,3,6,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,1,4,6,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,1,4,6,3,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,1,6,2,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,6,2,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,1,6,3,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,1,6,3,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,1,6,4,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,1,6,4,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,2,1,3,4,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,1,3,6,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,1,4,3,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,1,4,6,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,1,6,3,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,1,6,4,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,2,3,1,4,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,3,1,6,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,3,4,1,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,3,4,6,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,3,6,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,3,6,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,4,1,3,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,4,1,6,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,4,3,1,6] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,2,4,3,6,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,2,4,6,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,4,6,3,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,2,6,1,3,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,6,1,4,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,2,6,3,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,6,3,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,6,4,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,2,6,4,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,3,1,2,4,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,1,2,6,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,1,4,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,1,4,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,1,6,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,1,6,4,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,3,2,1,4,6] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,3,2,1,6,4] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,3,2,4,1,6] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,3,2,4,6,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,3,2,6,1,4] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,3,2,6,4,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,3,4,1,2,6] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,4,1,6,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,4,2,1,6] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,3,4,2,6,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,3,4,6,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,4,6,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,3,6,1,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,6,1,4,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,3,6,2,1,4] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,3,6,2,4,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,3,6,4,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,3,6,4,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,4,1,2,3,6] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,4,1,2,6,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,4,1,3,2,6] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,4,1,3,6,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,4,1,6,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,4,1,6,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,4,2,1,3,6] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,4,2,1,6,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,4,2,3,1,6] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,4,2,3,6,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,4,2,6,1,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,4,2,6,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,4,3,1,2,6] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,4,3,1,6,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,4,3,2,1,6] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,5,4,3,2,6,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,5,4,3,6,1,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,4,3,6,2,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,5,4,6,1,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,4,6,1,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,4,6,2,1,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,4,6,2,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,4,6,3,1,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,4,6,3,2,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,5,6,1,2,3,4] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,1,2,4,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,1,3,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,1,3,4,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,1,4,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,1,4,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,6,2,1,3,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,2,1,4,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,6,2,3,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,2,3,4,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,2,4,1,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,6,2,4,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,6,3,1,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,3,1,4,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,6,3,2,1,4] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,6,3,2,4,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,6,3,4,1,2] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,6,3,4,2,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,6,4,1,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,4,1,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,6,4,2,1,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,6,4,2,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,6,4,3,1,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,6,4,3,2,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,6,1,2,3,4,5] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,2,3,5,4] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,1,2,4,3,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,1,2,4,5,3] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,1,2,5,3,4] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,1,2,5,4,3] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,1,3,2,4,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,1,3,2,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,1,3,4,2,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,1,3,4,5,2] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,1,3,5,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,1,3,5,4,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,1,4,2,3,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,1,4,2,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,1,4,3,2,5] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,1,4,3,5,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,1,4,5,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,1,4,5,3,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,1,5,2,3,4] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,1,5,2,4,3] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,1,5,3,2,4] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,1,5,3,4,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,1,5,4,2,3] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,1,5,4,3,2] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,6,2,1,3,4,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,1,3,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,1,4,3,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,1,4,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,1,5,3,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,1,5,4,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,2,3,1,4,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,3,1,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,3,4,1,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,3,4,5,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,3,5,1,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,3,5,4,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,2,4,1,3,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,4,1,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,4,3,1,5] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,2,4,3,5,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,2,4,5,1,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,4,5,3,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,2,5,1,3,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,5,1,4,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,2,5,3,1,4] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,2,5,3,4,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,2,5,4,1,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,2,5,4,3,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,6,3,1,2,4,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,1,2,5,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,1,4,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,1,4,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,1,5,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,1,5,4,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,3,2,1,4,5] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,3,2,1,5,4] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,3,2,4,1,5] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,3,2,4,5,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,3,2,5,1,4] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,3,2,5,4,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,3,4,1,2,5] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,4,1,5,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,4,2,1,5] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,3,4,2,5,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,3,4,5,1,2] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,4,5,2,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,3,5,1,2,4] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,5,1,4,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,3,5,2,1,4] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,3,5,2,4,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,3,5,4,1,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,3,5,4,2,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,6,4,1,2,3,5] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,1,2,5,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,1,3,2,5] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,4,1,3,5,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,4,1,5,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,1,5,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,4,2,1,3,5] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,4,2,1,5,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,4,2,3,1,5] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,4,2,3,5,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,4,2,5,1,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,4,2,5,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,4,3,1,2,5] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,4,3,1,5,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,4,3,2,1,5] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,6,4,3,2,5,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,6,4,3,5,1,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,4,3,5,2,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,6,4,5,1,2,3] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,5,1,3,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,4,5,2,1,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,4,5,2,3,1] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,4,5,3,1,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,4,5,3,2,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,6,5,1,2,3,4] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,1,2,4,3] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,5,1,3,2,4] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,5,1,3,4,2] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,5,1,4,2,3] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,5,1,4,3,2] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,6,5,2,1,3,4] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,5,2,1,4,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,5,2,3,1,4] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,5,2,3,4,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,5,2,4,1,3] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,5,2,4,3,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,6,5,3,1,2,4] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,5,3,1,4,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,5,3,2,1,4] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,6,5,3,2,4,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,6,5,3,4,1,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,5,3,4,2,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,6,5,4,1,2,3] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,5,4,1,3,2] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,6,5,4,2,1,3] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,6,5,4,2,3,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,6,5,4,3,1,2] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,6,5,4,3,2,1] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => [[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 0

[8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => [[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 0

[7,8,6,5,4,3,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,6,7,5,4,3,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,6,8,5,4,3,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,7,8,5,4,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,5,6,4,3,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,8,5,6,4,3,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,6,5,7,4,3,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,5,6,7,4,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,5,8,4,3,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,7,5,8,4,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,6,8,4,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,7,8,4,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,6,7,8,4,3,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,6,4,5,3,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,6,7,4,5,3,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,7,5,4,6,3,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,7,4,5,6,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,5,6,4,7,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,6,4,5,7,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,4,5,6,7,3,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,4,8,3,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,7,5,4,8,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,6,4,8,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,7,4,8,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,6,7,4,8,3,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,5,8,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,7,4,5,8,3,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,4,6,8,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,4,5,6,8,3,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,4,7,8,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,6,4,7,8,3,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,7,8,3,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,7,8,3,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,6,7,8,3,2,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,5,3,4,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,8,6,5,3,4,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,8,5,3,4,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,7,5,6,3,4,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,8,5,6,3,4,2,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,6,7,3,4,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,8,3,4,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,7,8,3,4,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,8,3,4,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,4,3,5,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,8,6,4,3,5,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,8,4,3,5,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,8,4,3,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,6,3,4,5,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,8,6,3,4,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,7,3,4,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,8,3,4,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,8,3,4,5,2,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,4,3,6,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,8,5,4,3,6,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,8,5,3,4,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,4,3,5,6,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,3,4,5,6,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,3,4,5,6,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,4,3,7,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,6,4,3,5,7,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,5,3,4,6,7,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,3,5,6,7,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,4,5,6,7,2,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,5,4,3,8,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,7,5,4,3,8,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,6,4,3,8,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,6,7,4,3,8,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,5,3,8,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,4,6,3,8,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,4,5,6,3,8,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,7,3,8,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,7,3,8,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,6,7,3,8,2,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,3,5,8,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,4,3,6,8,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,3,4,6,8,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,4,5,6,8,2,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,3,7,8,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,3,4,7,8,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,4,5,7,8,2,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,6,7,8,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,5,6,7,8,2,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,6,7,8,2,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,6,5,4,2,3,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,8,6,5,4,2,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,6,7,5,4,2,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,6,5,7,4,2,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,5,6,7,4,2,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,8,4,2,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,8,4,2,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,7,4,5,2,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,6,8,4,5,2,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,7,4,5,6,2,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,4,5,6,2,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,4,7,2,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,4,5,7,2,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,5,6,7,2,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,4,8,2,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,4,8,2,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,6,7,8,2,3,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,6,5,3,2,4,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,8,6,5,3,2,4,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,6,7,5,3,2,4,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,8,5,3,2,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,5,6,3,2,4,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,6,5,7,3,2,4,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,5,6,7,3,2,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,8,3,2,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,5,2,3,4,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,6,7,5,2,3,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,8,5,2,3,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,6,2,3,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,5,6,2,3,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,7,2,3,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,6,7,2,3,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,5,8,2,3,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,8,2,3,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,8,2,3,4,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,6,3,4,2,5,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,8,6,3,4,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,7,3,4,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,8,3,4,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,8,3,4,2,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,4,2,3,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,6,3,2,4,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,7,3,2,4,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,8,3,2,4,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,2,3,4,5,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,6,2,3,4,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,7,2,3,4,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,2,3,4,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,2,3,4,5,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,5,4,3,2,6,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,7,5,3,4,2,6,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,8,5,3,4,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,5,3,2,4,6,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,8,4,3,2,5,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,3,4,2,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,2,3,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,2,4,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,3,4,5,6,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,3,4,5,6,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,5,4,3,2,7,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,5,6,3,4,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,4,3,5,2,7,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,4,5,3,6,2,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,3,5,6,2,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,5,3,2,4,7,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,6,4,2,3,5,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,2,3,4,5,7,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,3,2,6,7,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,5,3,4,2,6,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,4,5,2,6,7,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,2,3,6,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,3,2,5,6,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,4,2,5,6,7,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,3,5,6,7,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,4,5,6,7,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,4,5,6,7,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,4,3,2,8,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,7,5,4,3,2,8,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,7,4,3,2,8,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,4,5,3,2,8,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,7,4,5,3,2,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,6,3,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,7,3,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,6,7,3,2,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,3,4,2,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,3,4,2,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,3,5,2,8,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,3,4,5,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,4,3,6,2,8,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,4,5,3,6,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,4,6,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,4,3,7,2,8,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,4,5,3,7,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,3,7,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,6,3,7,2,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,4,7,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,3,4,7,2,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,5,7,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,4,5,7,2,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,6,7,2,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,6,7,2,8,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,5,4,2,3,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,4,2,3,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,4,2,3,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,4,2,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,5,2,3,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,5,2,3,8,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,6,2,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,7,2,3,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,4,7,2,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,7,2,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,7,2,3,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,5,3,2,4,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,3,2,4,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,2,3,4,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,2,3,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,2,3,4,8,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,4,3,2,5,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,2,3,5,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,2,4,5,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,3,2,4,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,3,4,5,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,3,4,5,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,3,5,2,6,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,4,2,3,6,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,2,3,6,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,2,4,6,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,3,4,6,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,4,5,6,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,4,5,6,8,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,4,3,2,7,8,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,5,6,3,2,7,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,4,2,7,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,6,2,7,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,5,6,2,7,8,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,5,2,3,7,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,2,3,7,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,3,4,7,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,4,5,7,8,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,3,2,6,7,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,2,6,7,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,2,6,7,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,2,6,7,8,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,2,3,6,7,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,3,6,7,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,4,6,7,8,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,5,6,7,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,5,6,7,8,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,5,6,7,8,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,5,6,7,8,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,6,7,8,1] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,7,6,5,4,3,1,2] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,8,6,5,4,3,1,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,6,7,5,4,3,1,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,8,5,4,3,1,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,8,5,4,3,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,5,6,4,3,1,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,8,5,6,4,3,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,6,5,8,4,3,1,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,5,8,4,3,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,8,4,3,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,8,4,3,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,8,4,3,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,4,5,3,1,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,8,6,4,5,3,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,6,7,4,5,3,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,8,4,5,3,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,4,6,3,1,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,5,6,4,7,3,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,4,5,7,3,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,4,6,7,3,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,4,8,3,1,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,6,4,8,3,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,4,8,3,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,5,8,3,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,5,8,3,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,7,8,3,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,7,8,3,1,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,6,5,3,4,1,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,8,6,5,3,4,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,6,8,5,3,4,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,8,5,3,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,6,3,4,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,8,5,6,3,4,1,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[8,6,5,7,3,4,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,6,7,3,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,8,3,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,8,3,4,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,4,3,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,3,4,5,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,7,3,4,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,4,3,6,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,7,4,5,3,6,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,4,5,3,6,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,4,3,5,6,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,4,3,5,6,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,4,5,6,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,4,5,6,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,4,3,6,7,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,3,4,6,7,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,5,6,7,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,4,5,6,7,1,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,4,3,8,1,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,6,7,4,3,8,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,5,3,8,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,7,3,8,1,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,3,4,8,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,3,5,8,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,4,5,8,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,3,6,8,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,4,6,8,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,5,6,8,1,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,4,3,7,8,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,3,7,8,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,4,7,8,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,3,5,7,8,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,5,7,8,1,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,3,6,7,8,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,6,7,8,1,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,6,7,8,1,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,6,7,8,1,2] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,7,6,5,4,2,1,3] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,8,6,5,4,2,1,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,6,7,5,4,2,1,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,8,5,4,2,1,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,8,5,4,2,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,5,6,4,2,1,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,8,5,6,4,2,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,5,8,4,2,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,8,4,2,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,8,4,2,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,8,4,2,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,4,5,2,1,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,8,4,5,2,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,4,5,6,7,2,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,5,4,8,2,1,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,5,4,8,2,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,4,8,2,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,4,8,2,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,5,8,2,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,6,8,2,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,7,8,2,1,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,6,5,4,1,2,3] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,8,6,5,4,1,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,8,5,4,1,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,8,5,4,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,6,4,1,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,7,4,1,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,6,7,4,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,5,8,4,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,8,4,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,8,4,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,8,4,1,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,7,4,5,1,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,4,5,1,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,5,4,6,1,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,5,4,6,1,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,4,5,6,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,4,7,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,5,7,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,6,7,1,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,4,8,1,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,5,4,8,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,4,8,1,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,4,5,8,1,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,4,6,8,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,7,8,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,7,8,1,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,6,7,8,1,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,7,8,1,2,3] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,7,6,5,3,2,1,4] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,6,7,5,3,2,1,4] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,8,5,3,2,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,5,6,3,2,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,6,7,3,2,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,8,3,2,1,4] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,5,8,3,2,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,8,3,2,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,8,3,2,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,5,2,3,1,4] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,8,6,5,2,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,7,5,2,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,8,5,2,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,5,6,2,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,5,6,2,3,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,7,2,3,1,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,5,8,2,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,8,2,3,1,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,8,2,3,1,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,6,5,3,1,2,4] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,8,6,5,3,1,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,7,5,3,1,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,8,5,3,1,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,5,6,3,1,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,5,8,3,1,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,8,3,1,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,8,3,1,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,6,5,2,1,3,4] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,8,6,5,2,1,3,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,8,5,2,1,3,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,8,5,2,1,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,6,2,1,3,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,5,7,2,1,3,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,6,7,2,1,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,5,8,2,1,3,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,5,8,2,1,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,8,2,1,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,8,2,1,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,8,2,1,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,6,5,1,2,3,4] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,6,5,1,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,7,5,1,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,5,1,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,5,1,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,5,6,1,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,6,1,2,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,5,7,1,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,7,1,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,8,1,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,5,8,1,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,6,8,1,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,7,8,1,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,8,1,2,3,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,7,6,4,3,2,1,5] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,8,6,4,3,2,1,5] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,6,7,4,3,2,1,5] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,8,4,3,2,1,5] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,8,4,3,2,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,6,3,4,2,1,5] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,8,6,3,4,2,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,8,3,4,2,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,4,2,3,1,5] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,7,8,4,2,3,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,3,2,4,1,5] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,6,7,3,2,4,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,8,3,2,4,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,2,3,4,1,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,7,2,3,4,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,2,3,4,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,2,3,4,1,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,6,4,3,1,2,5] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,7,8,4,3,1,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,3,4,1,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,6,3,4,1,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,7,3,4,1,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,3,4,1,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,6,4,2,1,3,5] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,8,6,4,2,1,3,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,7,4,2,1,3,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,8,4,2,1,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,4,1,2,3,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,6,4,1,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,4,1,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,4,1,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,6,3,2,1,4,5] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,6,7,3,2,1,4,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,8,3,2,1,4,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,2,3,1,4,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,6,2,3,1,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,7,2,3,1,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,2,3,1,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,6,3,1,2,4,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,6,3,1,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,7,3,1,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,3,1,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,3,1,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,6,2,1,3,4,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,7,2,1,3,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,2,1,3,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,6,1,2,3,4,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,6,1,2,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,7,1,2,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,8,1,2,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,1,2,3,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,7,5,4,3,2,1,6] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,8,5,4,3,2,1,6] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,8,4,5,3,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,5,3,4,2,1,6] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,8,3,4,5,2,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,4,5,2,3,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,4,5,2,3,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,3,2,4,1,6] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,8,5,2,3,4,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,4,3,2,5,1,6] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,8,4,3,2,5,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,3,4,2,5,1,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,3,4,2,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,3,4,5,1,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,3,4,5,1,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,5,4,3,1,2,6] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,8,5,4,3,1,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,5,3,4,1,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,3,4,5,1,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,4,5,1,2,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,5,4,2,1,3,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,5,4,1,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,5,1,2,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,5,3,2,1,4,6] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,8,5,3,2,1,4,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,5,3,1,2,4,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,5,3,1,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,2,1,3,4,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,5,2,1,3,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,1,2,3,4,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,1,2,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,4,3,2,1,5,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,3,4,2,1,5,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,3,4,2,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,2,3,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,2,4,1,5,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,3,2,4,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,3,4,1,5,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,3,4,1,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,4,3,1,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,4,1,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,4,1,2,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,4,2,1,3,5,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,4,2,1,3,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,4,1,2,3,5,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,2,1,4,5,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,3,2,1,4,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,3,1,4,5,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,3,1,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,2,1,3,4,5,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,1,3,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,1,2,3,4,5,6] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,1,2,3,4,5,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,6,5,4,3,2,1,7] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,5,6,4,3,2,1,7] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,6,4,5,3,2,1,7] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,4,5,6,3,2,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,5,3,4,2,1,7] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,5,6,3,4,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,5,3,6,2,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,3,5,6,2,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,4,5,6,2,1,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,4,2,3,1,7] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,5,6,4,2,3,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,5,6,2,3,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,3,2,4,1,7] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,6,5,2,3,4,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,6,2,3,4,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,2,3,5,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,3,2,4,5,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,3,5,2,6,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,4,2,3,6,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,5,2,3,6,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,3,2,4,6,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,2,3,4,6,1,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,4,5,6,1,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,4,5,6,1,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,5,4,3,1,2,7] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,6,4,5,3,1,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,5,3,4,1,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,6,3,4,1,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,3,6,1,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,3,4,6,1,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,5,6,1,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,4,5,6,1,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,5,4,2,1,3,7] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,5,6,4,2,1,3,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,5,6,2,1,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,4,1,2,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,5,1,2,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,6,1,2,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,5,3,2,1,4,7] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,5,6,3,2,1,4,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,5,2,3,1,4,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,6,2,3,1,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,3,1,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,2,1,3,4,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,6,2,1,3,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,1,2,3,4,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,1,2,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,4,3,2,1,5,7] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,6,3,4,2,1,5,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,4,2,3,1,5,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,3,2,4,1,5,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,2,3,4,1,5,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,3,1,2,5,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,3,4,1,2,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,2,1,3,5,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,4,1,2,3,5,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,2,1,4,5,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,1,2,3,4,5,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,4,3,2,1,6,7] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,4,5,3,2,1,6,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,3,5,2,1,6,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,4,5,2,1,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,2,3,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,3,4,1,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,3,5,1,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,4,5,1,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,3,4,1,2,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,4,5,1,2,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,4,2,1,3,6,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,4,1,2,3,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,1,2,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,3,2,1,4,6,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,3,1,2,4,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,2,3,4,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,3,2,1,5,6,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,4,2,1,5,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,3,1,5,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,4,1,5,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,4,1,2,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,2,1,3,5,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,2,3,5,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,2,1,4,5,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,1,4,5,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,2,4,5,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,1,3,4,5,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,3,4,5,6,7] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,6,5,4,3,2,1,8] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,7,5,4,3,2,1,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,6,4,3,2,1,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,7,4,3,2,1,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,6,7,4,3,2,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,5,3,2,1,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,7,4,5,3,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,4,6,3,2,1,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,4,5,6,3,2,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,4,7,3,2,1,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,6,4,7,3,2,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,6,7,3,2,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,5,3,4,2,1,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,7,5,3,4,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,3,4,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,3,4,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,3,4,2,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,3,5,2,1,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,7,4,3,5,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,4,5,2,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,4,3,6,2,1,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,4,3,7,2,1,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,6,4,3,7,2,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,3,7,2,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,6,7,2,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,5,6,7,2,1,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,5,4,2,3,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,4,2,3,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,4,2,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,5,2,3,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,5,2,3,1,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,6,2,3,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,4,7,2,3,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,4,7,2,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,7,2,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,7,2,3,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,3,2,4,1,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,7,3,2,4,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,3,2,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,5,2,3,4,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,5,2,3,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,2,3,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,2,3,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,2,3,4,1,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,4,3,2,5,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,2,3,5,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,2,3,5,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,2,4,5,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,3,2,4,5,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,3,2,6,1,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,4,5,3,2,6,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,3,5,2,6,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,2,4,6,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,3,5,6,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,4,5,6,1,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,4,3,2,7,1,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,3,4,5,2,7,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,6,2,7,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,6,2,7,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,6,2,7,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,6,2,7,1,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,6,2,3,7,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,2,4,7,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,3,5,7,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,2,6,7,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,2,3,6,7,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,4,6,7,1,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,5,6,7,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,5,6,7,1,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,5,6,7,1,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,5,6,7,1,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,6,7,1,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,6,5,4,3,1,2,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,7,5,4,3,1,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,4,3,1,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,5,3,1,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,7,3,1,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,7,3,1,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,3,4,1,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,4,3,7,1,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,4,5,7,1,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,6,7,1,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,6,7,1,2,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,6,5,4,2,1,3,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,7,4,2,1,3,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,5,2,1,3,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,7,2,1,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,7,2,1,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,4,1,2,3,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,4,1,2,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,5,6,1,2,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,6,7,1,2,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,7,1,2,3,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,6,5,3,2,1,4,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,5,2,3,1,4,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,5,2,3,1,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,2,3,1,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,2,3,1,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,2,3,1,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,2,1,3,4,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,2,1,3,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,2,1,3,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,1,2,3,4,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,5,1,2,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,6,1,2,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,7,1,2,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,1,2,3,4,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,6,4,3,2,1,5,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,7,4,3,2,1,5,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,4,2,1,5,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,3,4,2,1,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,2,3,1,5,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,2,4,1,5,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,3,4,1,5,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,3,4,1,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,4,3,1,2,5,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,2,1,3,5,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,2,1,4,5,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,3,2,1,4,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,3,1,4,5,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,3,1,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,1,2,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,2,3,4,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,5,4,3,2,1,6,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,4,5,3,2,1,6,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,3,5,2,1,6,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,4,5,2,1,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,2,3,1,6,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,2,4,1,6,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,3,4,1,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,3,5,1,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,4,5,1,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,5,1,2,3,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,3,2,1,4,6,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,3,1,4,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,1,2,4,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,2,3,4,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,3,4,1,5,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,3,1,2,5,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,1,2,5,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,2,1,4,5,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,2,4,5,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,1,3,4,5,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,3,4,5,6,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,5,4,3,2,1,7,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,6,4,3,2,1,7,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,3,2,1,7,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,6,3,2,1,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,4,2,1,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,2,3,1,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,2,4,1,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,3,4,1,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,3,4,1,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,3,2,5,1,7,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,3,4,5,1,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,3,2,6,1,7,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,5,2,6,1,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,2,6,1,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,4,6,1,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,5,6,1,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,5,6,1,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,5,6,1,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,6,1,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,5,4,3,1,2,7,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,5,6,1,2,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,5,4,2,1,3,7,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,2,1,3,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,1,2,3,7,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,4,3,2,1,5,7,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,4,2,1,5,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,1,2,5,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,1,3,5,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,2,3,5,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,3,1,4,5,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,2,4,5,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,3,4,5,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,3,2,1,6,7,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,2,1,6,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,2,1,6,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,2,1,6,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,2,1,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,2,3,1,6,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,3,1,6,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,2,4,1,6,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,4,1,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,5,1,6,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,5,1,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,5,1,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,5,1,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,1,6,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,1,2,6,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,1,2,3,6,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,3,2,1,4,6,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,1,4,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,2,4,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,3,4,6,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,2,1,5,6,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,1,5,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,1,5,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,1,5,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,1,5,6,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,1,2,5,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,2,5,6,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,1,3,5,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,3,5,6,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,1,4,5,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,4,5,6,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,4,5,6,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,4,5,6,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,5,6,7,8] => [8] => [[1,2,3,4,5,6,7,8]] => [[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,8,7,5,4,3,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[5,8,7,6,4,3,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[5,7,8,6,4,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,8,7,4,3,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,6,8,7,4,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,7,6,8,4,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,8,7,6,5,3,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[4,7,8,6,5,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,6,8,7,5,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,7,6,8,5,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,5,8,7,6,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,5,6,8,7,3,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,4,8,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,7,6,5,8,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,6,7,5,8,3,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,7,6,8,3,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,7,6,8,3,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,7,8,3,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,7,6,5,4,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[3,7,8,6,5,4,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,6,8,7,5,4,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,5,8,7,6,4,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,5,7,8,6,4,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,6,8,7,4,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,6,5,8,4,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,5,7,6,8,4,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,6,7,8,4,2,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,7,6,5,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,4,6,7,8,5,2,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,8,7,6,2,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,3,7,8,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,7,8,6,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,7,8,6,2,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,3,8,7,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,6,4,3,8,7,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,6,5,8,7,2,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,6,8,7,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,6,8,7,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,6,8,7,2,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,6,4,3,8,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,4,7,6,3,8,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,6,5,4,8,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,5,7,6,4,8,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,6,7,4,8,2,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,6,5,8,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,7,6,5,8,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,6,7,5,8,2,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,7,6,8,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,7,6,8,2,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,4,7,8,2,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,5,7,8,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,5,7,8,2,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,6,7,8,2,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,6,5,4,3,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[2,7,8,6,5,4,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,6,8,7,5,4,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,7,6,8,5,4,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,6,7,8,5,4,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,8,7,6,4,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,6,7,5,8,4,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,6,7,8,4,3,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,7,6,5,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,4,7,8,6,5,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,6,8,7,5,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,6,7,8,5,3,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,8,7,6,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,4,7,8,6,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,7,8,6,3,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,4,8,7,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,6,4,8,7,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,5,8,7,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,6,8,7,3,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,5,4,8,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,5,6,7,4,8,3,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,7,5,8,3,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,7,6,8,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,4,7,8,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,6,4,7,8,3,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,5,7,8,3,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,6,7,8,3,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,6,7,8,3,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,7,6,5,4,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,2,6,8,7,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,5,7,8,6,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,7,6,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,6,7,8,4,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,7,6,5,4,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,3,6,7,8,5,4,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,7,8,6,4,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,5,8,7,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,6,8,7,4,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,6,5,8,4,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,5,7,6,8,4,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,6,7,8,4,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,8,7,6,5,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,2,7,8,6,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,8,7,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,2,7,8,6,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,8,7,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,3,6,8,7,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,6,7,8,5,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,8,7,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,4,8,7,6,5,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,4,6,8,7,5,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,7,6,8,5,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,6,7,8,5,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,3,2,8,7,6,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,3,2,7,8,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,2,7,8,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,2,7,8,6,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,3,8,7,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,3,7,8,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,3,7,8,6,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,4,7,8,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,4,7,8,6,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,5,8,7,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,5,7,8,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,5,8,7,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,5,7,8,6,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,5,7,8,6,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,8,7,6,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,5,7,8,6,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,4,3,2,8,7,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,6,5,3,2,8,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,3,2,8,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,6,4,2,8,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,5,2,8,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,6,2,8,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,6,2,8,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,4,3,8,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,6,5,3,8,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,6,3,8,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,5,4,8,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,6,4,8,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,6,5,8,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,6,5,8,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,6,5,8,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,6,5,8,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,3,2,6,8,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,5,3,6,8,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,4,6,8,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,5,6,8,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,5,6,8,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,5,6,8,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,5,6,8,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,6,8,7,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,6,4,3,2,8,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,7,6,5,3,2,8,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,6,7,5,3,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,7,3,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,7,6,4,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,6,7,4,2,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,6,5,2,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,7,6,5,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,6,7,5,2,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,7,6,2,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,7,6,2,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,7,6,2,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,3,7,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,5,4,7,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,6,4,7,2,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,5,7,2,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,5,7,2,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,6,7,2,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,5,4,3,8,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,6,5,7,4,3,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,6,7,4,3,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,7,5,3,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,5,7,3,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,6,7,3,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,6,7,3,8,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,6,5,4,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,6,7,5,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,7,6,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,5,7,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,6,7,4,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,6,5,4,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,5,7,6,4,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,6,7,4,8,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,7,6,5,8,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,6,7,5,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,6,7,5,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,7,6,5,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,6,7,5,8,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,3,2,7,6,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,2,7,6,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,2,7,6,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,2,7,6,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,4,7,6,8,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,4,7,6,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,5,7,6,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,5,7,6,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,5,7,6,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,7,6,8,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,4,2,7,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,5,2,7,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,6,2,7,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,4,3,7,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,6,4,3,7,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,5,3,7,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,6,3,7,8,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,6,4,7,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,5,4,7,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,6,4,7,8,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,2,6,5,7,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,6,5,7,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,6,5,7,8,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,4,2,6,7,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,3,6,7,8,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,4,6,7,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,4,6,7,8,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,5,6,7,8,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,7,6,5,4,3,2] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[1,7,8,6,5,4,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,8,7,5,4,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,7,6,8,5,4,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,7,8,5,4,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,8,7,6,4,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,5,8,7,4,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,5,8,4,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,7,5,8,4,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,7,6,8,4,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,6,7,8,4,3,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,7,6,5,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,4,7,8,6,5,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,6,8,7,5,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,6,7,8,5,3,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,7,8,6,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,8,7,6,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,6,5,8,7,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,5,4,8,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,4,7,6,5,8,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,6,7,5,8,3,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,4,7,8,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,5,6,7,8,3,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,7,6,5,4,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,3,7,8,6,5,4,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,6,8,7,5,4,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,6,7,8,5,4,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,8,7,6,4,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,5,7,8,6,4,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,6,8,7,4,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,7,5,8,4,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,5,7,8,4,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,6,7,8,4,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,8,7,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,3,7,8,6,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,6,8,7,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,6,7,8,5,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,8,7,6,5,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,4,7,6,8,5,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,6,7,8,5,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,3,8,7,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,3,8,7,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,3,7,8,6,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,5,7,8,6,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,5,8,7,6,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,5,7,8,6,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,4,3,8,7,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,6,4,3,8,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,5,3,8,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,6,3,8,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,6,5,8,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,3,6,8,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,3,6,8,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,5,6,8,7,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,5,4,3,8,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,7,5,4,3,8,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,7,4,3,8,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,6,7,5,3,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,4,7,3,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,5,7,3,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,6,7,3,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,6,7,3,8,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,5,7,4,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,6,7,4,8,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,6,7,5,8,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,4,7,6,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,5,7,6,8,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,6,3,7,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,6,5,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,6,5,7,8,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,3,6,7,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,3,6,7,8,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,5,6,7,8,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,5,6,7,8,2] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,8,7,6,5,4,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,1,7,8,6,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,6,8,7,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,7,6,8,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,6,7,8,5,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,8,7,6,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,5,7,8,6,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,5,8,7,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,6,8,7,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,6,5,8,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,6,7,5,8,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,7,6,8,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,5,7,8,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,6,7,8,4,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,8,7,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,4,7,8,6,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,6,8,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,6,7,8,5,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,4,8,7,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,4,7,8,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,5,8,7,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,5,7,8,6,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,5,4,8,7,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,6,4,8,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,6,5,8,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,4,6,8,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,5,6,8,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,6,5,4,8,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,6,7,5,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,7,6,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,5,7,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,6,7,4,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,7,6,5,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,6,7,5,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,4,7,6,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,6,4,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,4,6,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,5,6,7,8,3] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,8,7,6,5,4,3] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,2,7,8,6,5,4,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,6,7,8,5,4,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,5,8,7,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,6,8,7,4,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,6,5,8,4,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,5,7,6,8,4,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,5,7,8,4,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,6,7,8,4,3] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,8,7,6,5,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,4,6,8,7,5,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,6,7,8,5,3] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,4,8,7,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,5,8,7,6,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,5,7,8,6,3] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,4,6,8,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,5,6,8,7,3] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,6,5,4,8,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,5,7,6,4,8,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,6,7,4,8,3] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,7,6,5,8,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,4,7,6,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,5,4,7,8,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,4,6,7,8,3] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,5,6,7,8,3] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,1,8,7,6,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,2,1,7,8,6,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,6,8,7,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,7,6,8,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,6,7,8,5,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,5,8,7,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,5,7,8,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,6,5,8,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,5,6,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,7,6,5,8,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,6,7,5,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,5,7,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,6,5,7,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,5,6,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,8,7,6,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,1,6,8,7,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,7,6,8,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,6,7,8,5,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,5,7,8,6,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,6,5,8,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,7,6,5,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,6,7,5,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,5,7,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,5,6,7,8,4] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,8,7,6,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,2,6,8,7,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,7,6,8,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,6,7,8,5,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,5,8,7,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,5,7,8,6,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,6,5,8,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,5,6,8,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,7,6,5,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,6,7,5,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,6,5,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,5,6,7,8,4] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,8,7,6,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,3,7,8,6,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,6,8,7,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,6,5,8,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,5,6,7,8,4] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,8,7,6,5,4] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,3,7,8,6,5,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,6,8,7,5,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,7,6,8,5,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,6,7,8,5,4] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,8,7,6,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,5,7,8,6,4] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,6,5,8,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,6,8,7,4] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,7,6,5,8,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,6,7,5,8,4] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,7,6,8,4] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,6,5,7,8,4] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,6,7,8,4] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,2,1,8,7,6,5] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[4,3,2,1,7,8,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,1,6,8,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,1,7,6,8,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,1,6,7,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,1,8,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,1,7,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,2,1,6,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,2,1,7,6,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,2,1,6,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,1,8,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,1,7,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,1,6,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,1,7,6,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,1,6,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,1,8,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,1,7,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,1,6,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,1,7,6,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,1,6,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,1,8,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,1,7,8,6,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,1,6,8,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,1,7,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,1,6,7,8,5] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,3,2,8,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,2,6,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,2,7,6,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,2,6,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,2,8,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,2,7,8,6,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,2,6,8,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,2,7,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,2,6,7,8,5] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,3,8,7,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,3,7,8,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,3,6,8,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,3,7,6,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,3,6,7,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,3,8,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,3,7,8,6,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,3,7,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,3,6,7,8,5] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,1,4,8,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,4,7,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,4,6,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,4,7,6,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,4,6,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,4,8,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,4,7,8,6,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,4,7,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,4,6,7,8,5] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,4,8,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,4,6,8,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,4,7,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,4,6,7,8,5] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,4,8,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,4,7,8,6,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,4,7,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,4,6,7,8,5] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,8,7,6,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,4,7,8,6,5] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,6,8,7,5] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,7,6,8,5] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,6,7,8,5] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,3,2,1,8,7,6] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,3,2,1,7,8,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,2,1,8,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,2,1,8,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,2,1,7,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,2,1,8,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,2,1,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,3,1,8,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,3,1,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,3,1,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,4,1,8,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,4,1,7,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,4,1,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,5,1,8,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,5,1,7,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,5,1,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,2,5,1,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,5,1,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,5,1,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,5,1,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,1,8,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,1,7,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,4,3,2,8,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,3,2,7,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,3,2,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,3,2,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,4,2,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,5,2,8,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,5,2,7,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,5,3,8,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,4,3,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,5,3,8,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,5,3,7,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,5,4,8,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,5,4,7,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,5,4,8,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,5,4,7,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,5,4,8,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,4,7,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,2,1,5,7,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,1,5,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,1,5,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,1,5,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,1,5,8,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,1,5,7,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,3,2,5,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,2,5,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,2,5,7,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,3,5,8,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,3,5,7,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,3,5,8,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,3,5,7,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,1,4,5,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,4,5,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,4,5,7,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,4,5,8,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,4,5,7,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,4,5,8,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,4,5,7,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,5,8,7,6] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,5,7,8,6] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,5,4,3,2,1,8,7] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,6,4,3,2,1,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,3,2,1,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,3,2,1,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,6,3,2,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,4,2,1,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,6,4,2,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,5,2,1,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,5,2,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,6,2,1,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,6,2,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,6,2,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,4,3,1,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,6,4,3,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,5,3,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,5,4,1,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,6,4,1,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,5,4,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,6,4,1,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,6,5,1,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,6,5,1,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,6,5,1,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,3,2,6,1,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,5,2,6,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,2,6,1,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,3,6,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,3,6,1,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,4,6,1,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,5,6,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,5,6,1,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,5,6,1,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,6,1,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,6,5,4,3,2,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,4,6,3,2,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,5,4,2,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,5,6,2,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,6,5,4,3,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,6,4,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,6,5,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,4,6,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,5,6,3,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,5,6,3,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,1,6,5,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,6,5,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,5,6,4,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,5,6,4,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,6,5,4,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,6,4,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,2,1,6,5,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,1,6,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,1,6,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,1,6,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,1,6,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,2,6,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,3,6,5,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,3,6,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,1,4,6,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,4,6,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,4,6,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,6,5,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,3,2,1,6,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,2,1,6,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,2,1,6,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,2,1,6,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,2,1,6,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,3,1,6,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,3,1,6,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,4,1,6,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,4,1,6,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,1,6,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,3,2,6,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,4,2,6,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,5,3,6,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,4,3,6,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,4,6,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,4,1,5,6,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,1,5,6,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,3,2,5,6,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,2,5,6,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,3,5,6,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,1,4,5,6,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,4,5,6,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,4,5,6,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,4,5,6,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,5,6,8,7] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,7,6,4,3,2,1,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,7,6,5,3,2,1,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,4,7,6,3,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,7,6,3,2,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,7,3,2,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,7,6,4,2,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,6,7,4,2,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,6,5,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,7,6,5,2,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,7,6,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,7,6,2,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,4,7,2,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,6,4,7,2,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,5,7,2,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,5,4,3,1,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,6,7,5,4,3,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,7,6,4,3,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,6,7,4,3,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,7,5,3,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,4,7,3,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,6,7,3,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,6,7,3,1,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,6,5,4,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,6,7,5,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,7,6,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,5,7,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,6,7,4,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,6,5,4,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,6,7,5,4,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,7,6,4,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,5,7,4,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,6,7,4,1,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,6,7,5,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,6,7,5,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,6,7,5,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,7,6,5,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,6,7,5,1,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,3,2,7,6,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,2,7,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,2,7,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,2,7,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,2,7,6,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,4,7,6,1,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,5,7,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,5,7,6,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,7,6,1,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,4,2,7,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,6,2,7,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,6,3,7,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,5,4,7,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,6,4,7,1,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,6,5,7,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,6,5,7,1,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,4,6,7,1,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,5,4,3,2,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,7,5,4,3,2,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,7,4,3,2,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,6,7,4,3,2,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,6,5,3,2,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,6,7,5,3,2,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,4,7,3,2,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,6,7,3,2,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,7,5,4,2,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,7,6,4,2,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,5,7,4,2,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,6,7,4,2,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,6,7,5,2,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,4,7,6,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,5,7,6,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,5,7,6,2,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,6,3,7,2,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,5,4,7,2,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,3,6,7,2,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,3,6,7,2,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,5,6,7,2,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,7,6,5,4,3,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,5,6,7,4,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,5,6,7,3,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,7,6,5,4,3,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,6,7,5,4,3,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,7,6,4,3,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,6,7,4,3,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,6,7,5,3,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,6,4,7,3,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,4,6,7,3,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,5,6,7,3,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,1,7,6,5,4,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,5,7,6,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,6,7,5,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,5,6,7,4,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,7,6,5,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,6,7,5,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,5,7,6,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,5,6,7,4,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,6,7,5,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,7,6,5,4,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,6,7,5,4,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,7,6,4,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,6,5,7,4,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,6,7,4,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,4,1,7,6,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,1,6,7,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,1,7,6,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,1,6,7,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,3,2,7,6,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,2,6,7,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,2,6,7,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,3,6,7,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,1,4,7,6,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,4,6,7,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,4,7,6,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,7,6,5,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,6,7,5,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,3,2,1,7,6,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,2,1,7,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,2,1,7,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,2,1,7,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,3,1,7,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,4,1,7,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,1,7,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,4,3,2,7,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,3,2,7,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,4,2,7,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,5,2,7,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,4,3,7,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,5,3,7,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,1,5,4,7,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,5,4,7,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,5,4,7,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,5,4,7,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,4,1,5,7,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,1,5,7,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,3,2,5,7,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,2,5,7,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,3,5,7,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,1,4,5,7,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,4,5,7,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,4,5,7,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,5,7,6,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,5,4,2,1,7,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,6,5,2,1,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,5,3,1,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,6,3,1,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,6,4,1,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,6,5,1,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,6,5,1,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,4,3,2,7,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,6,4,3,2,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,5,3,2,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,6,3,2,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,6,3,2,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,6,4,2,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,6,5,2,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,3,6,2,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,3,6,2,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,5,6,2,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,5,6,2,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,6,4,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,6,5,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,5,4,3,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,6,5,3,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,5,6,3,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,1,5,6,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,6,5,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,5,6,4,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,6,5,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,5,6,4,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,6,5,4,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,6,4,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,3,1,6,5,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,1,6,5,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,1,6,5,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,3,6,5,7,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,3,6,5,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,4,6,5,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,4,6,5,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,6,5,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,4,2,1,6,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,3,1,6,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,3,1,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,4,1,6,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,4,1,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,5,1,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,3,2,6,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,3,2,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,5,2,6,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,4,3,6,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,5,3,6,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,4,3,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,5,4,6,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,5,4,6,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,5,4,6,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,3,1,5,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,2,5,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,2,5,6,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,3,5,6,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,3,5,6,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,4,5,6,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,8,6,7,5] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,8,6,7,4] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,7,5,6,4,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,7,5,6,8,4] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,8,5,6,7,4] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,8,5,7,6,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,8,6,5,7,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,8,6,7,5,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,5,8,6,7,3] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,7,5,6,8,3] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,8,5,6,7,3] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,8,6,5,7,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,4,5,7,8,3] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,4,5,6,8,3] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,4,5,6,7,3] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,4,6,7,5,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,4,7,6,5,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,8,5,4,6,7,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,5,6,4,7,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,5,6,7,4,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,6,5,4,7,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,8,7,5,6,4,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,2,7,5,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,8,5,7,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,8,6,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,8,6,7,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,2,8,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,5,8,6,7,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,8,5,6,7,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,4,5,2,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,4,5,7,8,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,4,5,6,2,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,4,5,6,8,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,4,5,6,7,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,4,6,5,7,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,5,4,6,7,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,5,4,7,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,5,6,7,4,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,5,7,6,4,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,8,6,5,7,4,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,8,7,5,6,4,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,3,5,8,6,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,8,5,6,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,8,5,7,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,8,6,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,8,6,7,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,4,2,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,4,2,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,4,2,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,4,6,2,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,4,6,7,2,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,4,6,7,8,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,4,5,8,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,4,5,6,8,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,4,5,6,7,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,4,6,7,5,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,5,4,2,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,5,4,8,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,5,4,6,2,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,5,4,7,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,5,6,4,7,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,5,6,7,4,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,5,7,6,4,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,3,6,5,4,8,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,3,6,5,4,7,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,3,7,5,6,4,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,3,7,6,5,4,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,4,3,5,2,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,3,5,8,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,3,5,6,7,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,3,5,7,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,3,6,5,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,3,6,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,3,6,7,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,5,3,2,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,5,3,2,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,5,3,8,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,5,3,6,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,5,3,6,7,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,5,6,3,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,5,6,7,3,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,6,5,3,2,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,4,6,5,3,7,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,4,6,5,7,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,4,7,6,5,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,8,5,4,3,6,7,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,5,4,3,7,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,5,4,6,3,7,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,5,4,6,7,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,5,4,7,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,4,5,3,2,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,6,4,5,7,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,7,4,5,6,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,7,4,6,5,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,8,6,5,4,3,7,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,8,6,5,4,7,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,8,7,5,4,6,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,8,7,5,6,4,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,1,3,4,8,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,5,8,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,8,5,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,8,5,7,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,8,6,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,8,6,7,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,3,8,6,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,5,8,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,8,5,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,8,5,7,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,8,6,5,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,8,6,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,4,8,6,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,4,5,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,4,5,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,4,5,8,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,4,5,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,4,5,7,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,4,6,5,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,4,6,5,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,4,6,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,4,7,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,8,5,4,7,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,5,6,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,5,6,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,5,6,7,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,5,7,6,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,8,6,5,4,7,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,8,6,5,7,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,8,7,5,6,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,1,7,5,6,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,8,5,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,8,6,7,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,1,8,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,8,6,7,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,7,5,6,1,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,7,5,6,8,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,8,5,6,7,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,8,5,7,6,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,8,6,5,7,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,8,6,7,5,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,4,8,6,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,4,5,1,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,4,5,1,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,4,5,8,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,4,5,6,8,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,4,5,6,7,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,4,6,5,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,4,6,7,5,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,5,4,6,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,5,4,6,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,5,4,6,7,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,5,6,4,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,5,6,4,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,5,6,4,7,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,5,6,7,4,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,5,7,6,4,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,8,6,5,4,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,3,5,8,6,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,7,5,6,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,8,5,6,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,8,5,7,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,8,6,5,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,4,1,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,3,4,1,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,3,4,6,7,8,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,3,4,6,8,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,3,4,7,6,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,3,4,8,6,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,3,4,5,1,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,3,4,5,8,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,3,4,5,6,1,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,3,4,5,6,7,1] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,3,4,5,7,6,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,5,4,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,5,4,8,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,5,4,6,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,5,4,7,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,5,6,4,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,5,6,7,4,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,5,7,6,4,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,3,6,5,4,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,3,7,5,6,4,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,3,7,6,5,4,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,5,4,3,8,6,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,3,5,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,3,5,8,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,3,5,6,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,3,5,6,7,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,3,5,7,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,3,6,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,3,6,5,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,3,6,7,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,3,7,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,4,5,3,6,7,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,5,6,3,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,5,6,3,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,5,6,3,7,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,5,6,7,3,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,6,5,3,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,4,6,5,3,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,4,6,5,3,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,4,7,6,5,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,7,5,4,3,6,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,5,4,3,6,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,5,4,3,7,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,4,6,3,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,5,4,6,7,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,5,4,7,6,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,4,5,3,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,7,4,5,6,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,7,4,6,5,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,8,7,5,4,6,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,8,7,5,6,4,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,2,1,4,8,6,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,5,8,6,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,7,5,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,8,5,6,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,8,5,7,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,8,6,5,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,8,6,7,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,1,8,6,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,5,8,6,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,7,5,6,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,8,5,6,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,8,6,7,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,4,8,6,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,4,5,1,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,4,5,6,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,4,5,6,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,4,6,5,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,4,6,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,4,6,5,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,5,4,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,5,4,6,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,5,4,7,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,5,6,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,5,6,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,5,6,4,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,5,7,6,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,8,6,5,7,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,8,7,5,6,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,3,1,5,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,1,6,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,1,6,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,1,6,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,1,7,6,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,1,8,6,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,1,8,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,5,1,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,5,6,1,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,5,6,8,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,5,8,7,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,6,5,8,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,7,5,6,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,8,5,6,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,8,5,7,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,7,6,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,8,7,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,3,4,1,6,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,4,1,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,4,1,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,4,6,1,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,4,7,6,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,4,8,6,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,3,4,5,1,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,3,4,5,8,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,3,4,5,7,6,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,4,7,6,5,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,3,5,4,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,5,4,7,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,5,4,6,7,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,5,4,7,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,5,6,4,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,5,6,7,4,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,5,7,6,4,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,3,7,5,6,4,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,3,7,6,5,4,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,2,4,3,1,6,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,3,1,6,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,3,1,7,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,3,1,8,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,3,6,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,3,7,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,3,7,6,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,3,8,7,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,3,5,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,3,6,5,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,3,6,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,3,6,5,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,3,6,7,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,3,7,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,4,5,3,6,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,5,3,6,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,5,3,7,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,5,6,7,3,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,5,7,6,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,4,6,5,3,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,4,6,5,3,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,4,7,5,6,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,4,7,6,5,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,2,5,4,3,1,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,4,3,7,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,4,3,7,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,4,3,6,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,5,4,3,6,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,5,4,3,7,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,4,6,3,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,6,4,5,3,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,6,4,5,3,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,6,4,5,7,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,7,4,5,6,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,7,4,6,5,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,2,6,5,4,3,1,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,2,6,5,4,3,8,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,2,6,5,4,3,7,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,2,6,5,4,7,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,2,7,5,4,6,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,2,7,5,6,4,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,2,7,6,5,4,3,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[4,3,2,1,8,6,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,7,5,6,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,8,5,6,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,8,5,7,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,8,6,7,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,4,1,6,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,4,1,7,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,4,1,8,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,4,7,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,4,6,5,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,4,6,7,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,4,7,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,5,4,1,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,5,4,7,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,5,4,7,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,5,4,8,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,5,4,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,5,4,7,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,5,6,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,5,6,7,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,5,7,6,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,2,6,5,7,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,2,7,5,6,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,2,7,6,5,4,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,3,4,2,1,6,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,2,1,7,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,2,1,8,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,2,6,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,2,7,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,2,7,6,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,2,8,6,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,2,5,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,2,6,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,5,2,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,5,2,8,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,4,5,2,7,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,4,5,7,6,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,4,7,6,5,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,3,5,4,2,1,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,4,2,7,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,4,2,7,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,4,2,8,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,5,4,2,6,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,5,4,2,6,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,5,4,2,7,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,5,4,6,2,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,5,4,6,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,5,4,6,7,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,5,4,7,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,6,4,5,2,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,6,4,5,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,6,4,5,2,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,7,4,5,6,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,7,4,6,5,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,3,6,5,4,2,1,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,3,6,5,4,2,8,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,3,6,5,4,7,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,3,7,5,4,6,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,3,7,5,6,4,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,3,7,6,5,4,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[5,4,3,2,8,6,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,2,5,1,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,2,5,8,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,3,2,5,7,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,3,2,6,5,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,3,2,6,5,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,3,2,6,5,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,3,2,7,6,5,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,3,5,2,1,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,3,5,2,7,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,3,5,7,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,3,6,5,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,3,6,5,2,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,3,7,5,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,3,7,6,5,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,3,4,2,1,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,3,4,2,7,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,3,4,7,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,3,4,6,5,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,3,5,4,2,1,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,3,5,4,2,8,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,6,3,5,4,2,7,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,6,3,5,4,7,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,3,5,4,6,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,3,5,6,4,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,3,6,5,4,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,5,4,3,2,7,6,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,5,4,3,7,6,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,7,4,3,6,5,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,7,4,6,5,3,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[2,4,1,3,6,5,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,6,3,5,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,6,3,5,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,6,1,3,5,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,3,6,8,5,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,3,6,8,5,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,6,3,8,5,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,6,3,8,5,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,6,1,3,8,5,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,6,8,3,5,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,6,8,3,5,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,6,1,8,3,5,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,6,8,1,3,5,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,3,6,5,7,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,6,3,5,7,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,6,3,5,7,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,6,1,3,5,7,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,6,3,7,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,6,3,7,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,6,7,1,3,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,3,6,7,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,6,3,7,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,6,3,7,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,6,7,3,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,6,7,3,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,6,1,7,3,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,6,7,1,3,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,6,7,8,3,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,6,7,8,3,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,6,7,8,1,3,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,3,7,5,8,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,3,7,5,8,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,7,3,5,8,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,7,3,5,8,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,3,7,8,5,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,3,7,8,5,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,7,3,8,5,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,7,8,3,5,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,7,8,3,5,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,7,1,8,3,5,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,5,3,7,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,1,3,7,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,1,7,3,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,5,3,7,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,1,3,7,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,5,7,3,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,5,7,3,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,1,7,3,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,1,7,8,3,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,7,8,1,3,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,3,8,5,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,3,8,5,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,8,3,5,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,8,3,5,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,8,1,3,5,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,3,5,8,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,5,3,8,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,5,8,3,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,5,8,3,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,1,8,3,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,5,3,6,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,5,6,3,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,1,6,3,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,6,1,3,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,5,6,8,3,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,5,6,8,3,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,1,6,8,3,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,6,1,8,3,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,6,8,1,3,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,3,5,6,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,5,3,6,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,1,3,6,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,5,6,3,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,1,6,3,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,6,1,3,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,5,6,7,3,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,6,1,7,3,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,6,7,1,3,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,5,6,7,8,3] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,1,6,7,8,3] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,6,1,7,8,3] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,6,7,1,8,3] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,6,7,8,1,3] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,3,6,4,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,1,3,6,4,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,6,3,4,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,1,6,3,4,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,6,1,3,4,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,3,6,8,4,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,1,3,6,8,4,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,6,1,3,8,4,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,6,8,3,4,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,1,6,8,3,4,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,1,3,6,4,7,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,3,6,7,4,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,6,3,7,4,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,1,6,3,7,4,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,6,1,3,7,4,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,6,7,3,4,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,3,6,7,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,1,3,6,7,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,6,3,7,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,1,6,3,7,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,6,1,3,7,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,6,7,3,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,1,6,7,3,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,6,7,1,3,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,6,7,8,3,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,1,6,7,8,3,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,6,1,7,8,3,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,6,7,1,8,3,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,6,7,8,1,3,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,3,7,4,8,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,1,3,7,4,8,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,1,7,3,4,8,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,7,1,3,4,8,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,3,7,8,4,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,1,3,7,8,4,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,7,3,8,4,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,7,8,3,4,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,1,7,8,3,4,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,7,1,8,3,4,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,7,8,1,3,4,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,5,1,4,7,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,5,7,1,4,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,5,1,7,4,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,1,5,7,8,4,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,5,7,8,1,4,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,3,8,4,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,1,3,8,4,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,8,3,4,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,5,1,4,8,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,5,8,4,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,5,1,8,4,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,3,4,6,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,5,1,6,4,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,5,6,8,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,1,5,6,8,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,5,1,6,8,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,5,6,1,8,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,5,6,8,1,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,3,4,6,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,1,3,4,6,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,5,1,4,6,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,5,6,1,4,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,5,6,7,1,4,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,5,1,6,7,8,4] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,5,6,7,8,1,4] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,6,3,7,4,8,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,1,3,7,4,8,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,6,7,3,4,8,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,1,7,3,4,8,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,7,1,3,4,8,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,6,3,7,8,4,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,1,3,7,8,4,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,7,1,3,8,4,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,6,7,8,3,4,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,1,7,8,3,4,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,7,1,8,3,4,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,7,8,1,3,4,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,1,7,3,4,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,1,3,4,7,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,1,6,4,7,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,6,3,4,7,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,1,3,4,7,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,6,1,4,7,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,6,7,4,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,6,7,8,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,1,6,7,8,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,6,1,7,8,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,6,7,1,8,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,6,7,8,1,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,6,3,8,4,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,1,3,8,4,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,6,8,3,4,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,1,8,3,4,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,8,1,3,4,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,6,3,4,8,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,1,3,4,8,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,1,6,4,8,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,6,1,4,8,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,1,6,8,4,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,6,1,8,4,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,6,3,4,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,1,3,4,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,6,4,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,6,1,4,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,1,6,8,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,6,1,8,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,6,8,1,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,1,3,4,5,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,6,4,5,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,1,6,4,5,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,6,1,4,5,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,6,1,5,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,6,7,1,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,6,1,7,8,5] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,6,7,8,1,5] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,7,3,8,4,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,7,1,3,8,4,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,7,8,3,4,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,7,1,8,3,4,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,7,8,1,3,4,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,7,3,4,8,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,7,4,8,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,1,7,4,8,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,7,8,4,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,1,7,8,4,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,7,8,1,4,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,7,3,4,5,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,7,1,3,4,5,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,1,7,4,5,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,7,1,4,5,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,4,7,5,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,1,7,5,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,7,1,5,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,4,7,8,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,1,4,7,8,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,1,7,8,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,7,1,8,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,7,8,1,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,7,3,4,5,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,7,1,3,4,5,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,7,1,4,5,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,4,7,5,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,1,7,5,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,7,1,5,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,7,1,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,7,1,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,7,8,1,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,8,3,4,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,8,1,3,4,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,8,4,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,1,8,4,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,8,1,4,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,4,8,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,1,4,8,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,1,8,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,8,1,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,4,5,8,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,1,4,5,8,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,1,5,8,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,1,8,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,8,1,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,6,8,1,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,2,6,5,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,2,6,5,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,6,2,5,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,6,2,5,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,6,1,2,5,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,2,6,8,5,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,2,6,8,5,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,6,2,8,5,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,6,2,8,5,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,6,8,2,5,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,6,8,2,5,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,6,8,1,2,5,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,2,6,5,7,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,2,6,7,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,2,6,7,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,6,2,7,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,6,7,2,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,6,7,1,2,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,2,6,7,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,2,6,7,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,6,2,7,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,6,2,7,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,6,1,2,7,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,6,7,2,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,6,7,2,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,6,1,7,2,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,6,7,8,2,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,6,7,8,2,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,6,1,7,8,2,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,6,7,1,8,2,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,6,7,8,1,2,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,2,7,5,8,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,2,7,5,8,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,7,2,5,8,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,7,1,2,5,8,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,2,7,8,5,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,2,7,8,5,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,7,1,8,2,5,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,7,8,1,2,5,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,2,7,5,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,2,7,5,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,2,5,7,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,5,2,7,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,5,2,7,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,5,7,2,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,7,1,2,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,2,5,7,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,2,5,7,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,5,2,7,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,1,2,7,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,5,7,2,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,5,7,2,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,5,7,8,2,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,5,7,8,2,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,1,7,8,2,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,7,8,1,2,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,2,8,5,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,2,8,5,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,8,2,5,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,8,2,5,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,8,1,2,5,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,2,5,8,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,2,5,8,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,5,2,8,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,5,8,2,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,5,8,2,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,8,1,2,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,2,5,6,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,1,2,6,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,5,6,2,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,5,6,2,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,1,6,2,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,6,1,2,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,5,6,8,2,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,5,6,8,2,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,6,1,8,2,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,6,8,1,2,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,2,5,6,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,5,2,6,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,5,2,6,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,5,6,2,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,1,6,2,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,5,6,7,2,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,5,6,7,2,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,1,6,7,2,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,6,1,7,2,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,5,6,7,8,2] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,5,6,7,8,2] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,1,6,7,8,2] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,6,1,7,8,2] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,6,7,1,8,2] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,5,2,6,4,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,2,6,4,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,6,2,4,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,6,1,2,4,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,5,2,6,8,4,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,2,6,8,4,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,5,6,8,2,4,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,6,8,2,4,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,6,1,8,2,4,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,6,8,1,2,4,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,6,2,4,7,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,6,1,2,4,7,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,2,6,7,4,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,6,2,7,4,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,6,1,2,7,4,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,6,7,2,4,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,6,7,1,2,4,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,5,2,6,7,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,2,6,7,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,5,6,2,7,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,6,2,7,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,6,1,2,7,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,5,6,7,2,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,6,7,2,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,6,1,7,2,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,6,7,1,2,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,5,6,7,8,2,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,6,7,8,2,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,6,1,7,8,2,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,6,7,1,8,2,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,6,7,8,1,2,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,5,2,7,4,8,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,2,7,4,8,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,5,7,2,4,8,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,7,1,2,4,8,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,5,2,7,8,4,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,2,7,8,4,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,5,7,2,8,4,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,7,2,8,4,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,5,7,8,2,4,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,7,8,2,4,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,7,8,1,2,4,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,5,2,7,4,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,2,7,4,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,5,7,2,4,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,7,2,4,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,7,1,2,4,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,5,2,4,7,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,2,4,7,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,5,4,7,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,2,4,7,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,5,7,4,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,5,7,4,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,2,7,4,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,7,2,4,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,2,4,7,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,5,7,4,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,2,7,4,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,7,2,4,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,5,7,8,4,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,2,7,8,4,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,7,2,8,4,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,7,8,2,4,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,5,2,8,4,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,2,8,4,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,5,8,2,4,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,8,2,4,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,5,2,4,8,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,2,4,8,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,5,4,8,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,2,4,8,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,5,8,4,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,5,8,4,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,2,8,4,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,8,2,4,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,2,4,6,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,5,4,6,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,2,4,6,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,5,6,8,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,2,6,8,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,6,2,8,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,6,8,2,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,2,4,6,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,2,4,6,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,6,2,4,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,5,6,7,4,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,2,6,7,4,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,6,2,7,4,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,6,7,2,4,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,5,6,7,8,4] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,6,7,2,8,4] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,6,7,8,2,4] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,6,2,7,4,8,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,1,2,7,4,8,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,1,7,2,4,8,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,7,1,2,4,8,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,1,2,7,8,4,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,6,7,2,8,4,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,1,7,2,8,4,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,7,1,2,8,4,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,1,7,8,2,4,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,7,8,1,2,4,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,6,7,2,4,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,1,2,4,7,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,6,4,7,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,6,4,7,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,6,7,4,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,6,2,7,4,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,6,2,4,7,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,1,2,4,7,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,6,4,7,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,6,7,4,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,6,7,4,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,6,2,7,4,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,6,7,8,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,6,7,8,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,6,2,7,8,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,6,7,8,2,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,1,2,8,4,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,6,8,2,4,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,1,8,2,4,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,8,1,2,4,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,6,2,4,8,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,1,2,4,8,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,6,4,8,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,6,2,4,8,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,6,8,4,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,6,8,4,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,6,2,4,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,1,2,4,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,6,4,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,6,2,4,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,4,6,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,6,2,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,4,6,8,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,6,8,2,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,1,2,4,5,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,6,4,5,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,6,2,4,5,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,6,2,5,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,6,2,7,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,6,7,2,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,4,6,7,8,5] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,6,7,2,8,5] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,7,2,8,4,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,7,1,2,8,4,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,7,8,2,4,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,7,1,8,2,4,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,7,8,1,2,4,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,7,1,2,4,8,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,7,4,8,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,7,4,8,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,7,2,4,8,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,7,8,4,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,7,2,8,4,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,7,8,2,4,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,7,2,4,5,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,7,1,2,4,5,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,7,2,4,5,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,4,7,5,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,4,7,5,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,2,7,5,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,4,7,8,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,4,7,8,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,2,7,8,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,7,8,2,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,7,2,4,5,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,7,1,2,4,5,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,7,4,5,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,7,4,5,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,7,2,4,5,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,4,7,5,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,7,2,5,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,4,5,7,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,4,5,7,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,5,7,8,2,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,8,2,4,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,8,1,2,4,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,8,4,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,8,4,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,8,2,4,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,4,8,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,4,8,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,2,8,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,8,2,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,4,5,8,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,4,5,8,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,2,5,8,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,5,2,8,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,5,8,2,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,4,5,6,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,5,6,8,2,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,5,2,6,3,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,1,2,6,3,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,5,6,2,3,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,1,6,2,3,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,6,1,2,3,8,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,5,2,6,8,3,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,1,2,6,8,3,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,5,6,2,8,3,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,6,1,2,8,3,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,5,6,8,2,3,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,1,6,8,2,3,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,6,1,8,2,3,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,6,8,1,2,3,7] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,5,2,6,3,7,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,5,6,2,3,7,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,1,6,2,3,7,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,1,2,6,7,3,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,1,6,2,7,3,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,6,1,2,7,3,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,6,1,7,2,3,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,5,2,6,7,8,3] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,1,2,6,7,8,3] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,1,6,2,7,8,3] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,6,1,2,7,8,3] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,5,6,7,2,8,3] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,1,6,7,2,8,3] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,6,1,7,2,8,3] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,6,7,1,2,8,3] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,5,6,7,8,2,3] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,1,6,7,8,2,3] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,6,1,7,8,2,3] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,6,7,1,8,2,3] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,5,2,7,3,8,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,1,7,2,3,8,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,5,2,7,8,3,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,1,2,7,8,3,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,5,7,2,8,3,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,1,7,2,8,3,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,7,1,2,8,3,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,7,8,1,2,3,6] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,5,2,7,3,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,1,2,7,3,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,5,2,3,7,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,1,2,3,7,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,5,3,7,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,5,3,7,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,2,3,7,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,5,7,3,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,2,7,3,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,7,2,3,6,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,5,2,3,7,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,5,3,7,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,2,3,7,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,5,7,3,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,5,7,3,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,2,7,3,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,7,2,3,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,5,7,8,3,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,5,7,8,3,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,2,7,8,3,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,7,8,2,3,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,5,2,8,3,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,1,2,8,3,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,1,8,2,3,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,8,1,2,3,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,5,2,3,8,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,1,2,3,8,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,5,3,8,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,5,3,8,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,2,3,8,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,5,8,3,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,2,8,3,6,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,5,3,6,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,5,6,3,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,2,6,3,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,5,6,8,3,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,5,6,8,3,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,2,6,8,3,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,6,8,2,3,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,5,2,3,6,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,5,3,6,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,5,3,6,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,2,3,6,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,5,6,3,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,2,6,3,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,6,2,3,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,5,6,7,3,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,5,6,7,3,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,2,6,7,3,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,6,2,7,3,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,6,7,2,3,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,5,6,7,8,3] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,5,6,7,8,3] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,2,6,7,8,3] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,6,2,7,8,3] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,6,7,2,8,3] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,6,7,8,2,3] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,6,2,7,3,8,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,6,7,2,3,8,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,7,1,2,3,8,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,1,2,7,8,3,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,1,7,2,8,3,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,7,1,2,8,3,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,6,7,8,2,3,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,1,7,8,2,3,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,7,1,8,2,3,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,7,8,1,2,3,5] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,6,2,7,3,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,6,7,2,3,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,1,7,2,3,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,7,1,2,3,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,6,2,3,7,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,6,3,7,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,6,3,7,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,6,7,3,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,6,7,3,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,6,2,7,3,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,6,7,2,3,5,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,6,2,3,7,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,6,3,7,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,6,2,3,7,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,6,7,3,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,6,2,7,3,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,6,7,8,3,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,6,2,7,8,3,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,6,7,2,8,3,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,6,7,8,2,3,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,6,2,8,3,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,1,2,8,3,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,6,8,2,3,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,1,8,2,3,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,8,1,2,3,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,6,2,3,8,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,6,3,8,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,6,3,8,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,6,2,3,8,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,6,8,3,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,6,2,8,3,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,6,8,2,3,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,6,2,3,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,1,2,3,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,6,3,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,6,3,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,6,2,3,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,3,6,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,3,6,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,6,3,5,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,3,6,8,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,6,8,3,5,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,6,2,3,5,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,1,2,3,5,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,6,3,5,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,6,2,3,5,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,3,6,5,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,3,6,5,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,6,3,5,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,3,6,7,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,3,6,7,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,3,6,7,8,5] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,3,6,7,8,5] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,7,2,8,3,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,7,1,2,8,3,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,7,8,2,3,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,7,1,8,2,3,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,7,2,3,8,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,7,1,2,3,8,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,7,3,8,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,7,2,3,8,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,7,8,3,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,7,8,3,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,7,2,8,3,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,7,8,2,3,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,7,2,3,5,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,7,1,2,3,5,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,7,3,5,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,7,3,5,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,7,2,3,5,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,3,7,5,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,3,7,5,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,7,3,5,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,3,7,8,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,3,7,8,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,3,7,8,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,7,3,8,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,7,8,3,5,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,7,2,3,5,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,7,1,2,3,5,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,7,3,5,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,7,3,5,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,7,2,3,5,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,3,7,5,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,3,7,5,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,3,7,5,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,7,3,5,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,3,5,7,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,3,5,7,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,5,7,3,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,3,5,7,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,3,5,7,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,5,7,8,3,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,8,2,3,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,8,1,2,3,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,8,3,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,8,3,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,8,2,3,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,3,8,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,3,8,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,3,8,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,8,3,5,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,3,5,8,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,3,5,8,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,3,5,8,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,5,3,8,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,5,8,3,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,3,5,6,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,3,5,6,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,5,6,8,3,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,3,5,6,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,6,2,7,3,8,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,1,2,7,3,8,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,6,7,2,3,8,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,1,7,2,3,8,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,7,1,2,3,8,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,1,2,7,8,3,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,6,7,2,8,3,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,7,1,2,8,3,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,6,7,8,2,3,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,1,7,8,2,3,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,7,1,8,2,3,4] => [4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,6,2,7,3,4,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,1,7,2,3,4,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,6,2,3,7,4,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,6,3,7,4,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,6,3,7,4,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,6,7,3,4,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,6,7,3,4,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,6,7,2,3,4,8] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,6,2,3,7,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,1,2,3,7,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,6,3,7,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,6,3,7,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,6,2,3,7,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,6,7,3,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,6,7,2,3,8,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,6,7,8,3,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,6,7,8,3,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,6,2,7,8,3,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,6,7,2,8,3,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,6,7,8,2,3,4] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,6,2,8,3,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,1,2,8,3,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,1,8,2,3,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,8,1,2,3,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,6,2,3,8,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,1,2,3,8,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,6,3,8,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,6,3,8,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,6,2,3,8,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,6,8,3,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,6,8,3,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,6,2,8,3,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,6,8,2,3,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,6,2,3,4,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,1,2,3,4,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,6,3,4,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,6,2,3,4,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,3,6,4,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,3,6,4,8,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,3,6,8,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,3,6,8,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,6,3,8,4,7] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,6,2,3,4,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,6,3,4,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,6,3,4,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,6,2,3,4,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,3,6,4,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,3,6,4,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,3,6,4,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,6,3,4,7,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,3,6,7,4,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,3,6,7,4,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,6,3,7,4,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,3,6,7,8,4] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,3,6,7,8,4] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,3,6,7,8,4] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,6,3,7,8,4] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,6,7,3,8,4] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,6,7,8,3,4] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,7,2,8,3,4,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,7,1,2,8,3,4,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,7,8,2,3,4,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,7,1,8,2,3,4,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,7,8,1,2,3,4,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,7,3,8,4,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,7,3,8,4,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,7,2,3,8,4,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,7,8,3,4,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,7,8,3,4,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,7,2,8,3,4,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,7,8,2,3,4,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,7,2,3,4,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,7,1,2,3,4,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,7,3,4,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,7,3,4,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,7,2,3,4,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,3,7,4,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,3,7,4,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,3,7,4,8,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,3,7,8,4,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,3,7,8,4,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,7,3,8,4,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,7,8,3,4,6] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,7,2,3,4,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,7,1,2,3,4,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,7,3,4,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,3,7,4,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,3,7,4,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,7,3,4,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,3,4,7,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,3,4,7,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,5,7,4,6,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,3,4,7,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,3,4,7,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,3,4,7,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,5,7,4,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,5,7,8,4,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,8,1,2,3,4,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,8,3,4,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,8,3,4,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,8,2,3,4,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,3,8,4,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,3,8,4,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,3,8,4,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,8,3,4,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,3,4,8,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,3,4,8,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,3,4,8,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,5,4,8,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,5,8,4,6,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,3,4,6,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,3,4,6,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,3,4,6,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,5,6,8,4,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,3,4,6,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,3,4,6,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,7,2,8,3,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,7,1,2,8,3,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,7,8,2,3,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,7,1,8,2,3,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,7,2,3,8,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,7,1,2,3,8,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,7,3,8,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,6,2,7,3,8,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,6,7,2,3,8,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,7,8,3,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,6,2,7,8,3,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,6,7,2,8,3,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,6,7,8,2,3,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,7,2,3,4,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,7,1,2,3,4,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,7,3,4,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,6,2,7,3,4,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,3,7,4,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,6,2,3,7,4,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,6,3,7,4,8,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,3,7,8,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,6,2,3,7,8,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,6,3,7,8,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,6,7,3,8,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,6,7,8,3,4,5] => [5,3] => [[1,2,3,4,5],[6,7,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,7,2,3,4,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,7,3,4,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,6,2,7,3,4,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,6,7,2,3,4,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,3,7,4,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,6,2,3,7,4,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,6,3,7,4,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,6,7,3,4,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,3,4,7,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,6,2,3,4,7,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,6,3,4,7,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,6,4,7,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,6,7,4,5,8] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,3,4,7,8,5] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,6,2,3,4,7,8,5] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,6,3,4,7,8,5] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,6,4,7,8,5] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,6,7,4,8,5] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,6,7,8,4,5] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,8,2,3,4,5,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,8,1,2,3,4,5,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,8,3,4,5,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,6,2,8,3,4,5,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,6,8,2,3,4,5,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,3,8,4,5,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,6,2,3,8,4,5,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,6,3,8,4,5,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,6,8,3,4,5,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,3,4,8,5,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,6,2,3,4,8,5,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,6,3,4,8,5,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,6,4,8,5,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,6,8,4,5,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,3,4,5,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,6,2,3,4,5,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,6,3,4,5,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,6,4,5,8,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,6,8,5,7] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,6,2,3,4,5,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,6,3,4,5,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,6,4,5,7,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,1,8,2,3,4,5,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,1,2,8,3,4,5,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,7,2,8,3,4,5,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,7,8,2,3,4,5,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,1,2,3,8,4,5,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,7,2,3,8,4,5,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,7,3,8,4,5,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,7,8,3,4,5,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,1,2,3,4,8,5,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,7,2,3,4,8,5,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,7,3,4,8,5,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,7,4,8,5,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,7,8,4,5,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,1,2,3,4,5,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,7,2,3,4,5,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,7,3,4,5,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,7,4,5,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,7,5,8,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,7,8,5,6] => [6,2] => [[1,2,3,4,5,6],[7,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,7,2,3,4,5,6,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,7,3,4,5,6,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,7,4,5,6,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,7,5,6,8] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,8,2,3,4,5,6,7] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,8,3,4,5,6,7] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,8,4,5,6,7] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,8,5,6,7] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,5,8,6,7] => [7,1] => [[1,2,3,4,5,6,7],[8]] => [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,3,2,6,1,4,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,5,4,8,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,2,3,7,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,2,3,8,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,2,3,1,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,2,1,3,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,5,4,2,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,1,3,2,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,3,1,2,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,3,2,8,1,6] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,6,4,3,7,2,5,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,4,3,8,2,1,5] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,4,3,8,1,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,3,1,8,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,1,3,8,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,5,4,8,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,5,4,8,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,5,4,7,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,1,3,7,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,3,1,7,6,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,8,4,3,7,1,5,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,8,4,3,6,5,1,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,8,5,7,3,1,4,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[5,8,6,7,1,3,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,1,7,3,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,6,7,4,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,6,7,4,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,6,8,4,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,6,8,4,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,1,8,3,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,6,8,1,3,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,2,1,8,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,2,8,1,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,6,2,8,3,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,6,2,7,3,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,6,7,4,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,6,8,4,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,7,8,1,4,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,7,1,8,4,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,1,7,8,5,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,2,8,7,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,8,1,7,6,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,3,2,8,7,1,5,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,3,2,8,6,5,1,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[8,4,7,2,6,5,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,4,8,2,6,5,1,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,4,8,2,7,1,5,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[5,4,8,2,1,7,6,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[4,5,8,1,2,7,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,8,2,7,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,8,3,7,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,8,7,3,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,8,7,2,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,1,7,2,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,8,7,1,2,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,7,2,1,4,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,5,8,6,2,4,1,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[8,5,7,6,2,4,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,7,8,6,1,4,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,1,6,5,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,8,6,5,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,8,6,5,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,7,6,5,4,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,8,7,1,6,5,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,8,7,6,1,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,8,7,5,4,1,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,1,4,3,6,5,8,7,10,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,4,1,2,6,5,8,7,10,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,3,2,1,6,5,8,7,10,9] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,3,2,5,4,1,8,7,10,9] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,3,2,5,4,7,6,1,10,9] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,3,2,5,4,7,6,9,8,1] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,6,1,2,3,8,7,10,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,5,1,6,2,4,8,7,10,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,5,6,3,4,8,7,10,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,6,5,4,3,8,7,10,9] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,5,4,3,2,1,8,7,10,9] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,3,2,7,6,1,10,9] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,5,4,3,2,7,6,9,8,1] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,5,4,7,6,3,10,9] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,7,4,3,6,5,2,1,10,9] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,7,4,3,6,5,2,9,8,1] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,10,5,4,7,6,9,8,3] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,9,4,3,6,5,8,7,2,1] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,8,1,2,3,4,10,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,6,7,1,8,2,3,5,10,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,6,1,7,8,2,4,5,10,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,6,7,8,3,4,5,10,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,5,7,3,8,4,6,10,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,5,1,7,2,8,4,6,10,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,5,7,1,2,8,3,6,10,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,4,1,2,7,8,5,6,10,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,4,3,7,8,5,6,10,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,4,3,8,7,6,5,10,9] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,2,1,8,7,6,5,10,9] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[8,3,2,7,6,5,4,1,10,9] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,3,2,7,6,5,4,9,8,1] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,7,6,5,4,3,10,9] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,5,4,3,2,1,10,9] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[10,7,6,5,4,3,2,9,8,1] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,1,10,7,6,5,4,9,8,3] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,9,6,5,4,3,8,7,2,1] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,1,4,3,10,7,6,9,8,5] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,2,1,10,7,6,9,8,5] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[10,3,2,9,6,5,8,7,4,1] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,10,9,6,5,8,7,4,3] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,9,8,5,4,7,6,3,2,1] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,1,7,8,9,10,3,4,5,6] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,7,1,8,9,10,2,4,5,6] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,7,8,1,9,10,2,3,5,6] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[5,7,8,9,1,10,2,3,4,6] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[6,7,8,9,10,1,2,3,4,5] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[5,6,8,9,1,2,10,3,4,7] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,6,8,1,9,2,10,3,5,7] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,6,1,8,9,2,10,4,5,7] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,6,8,9,3,10,4,5,7] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,5,8,3,9,10,4,6,7] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,5,1,8,2,9,10,4,6,7] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,5,8,1,2,9,10,3,6,7] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,4,1,2,8,9,10,5,6,7] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,4,3,8,9,10,5,6,7] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,4,3,7,9,5,10,6,8] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,4,1,2,7,9,5,10,6,8] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,5,7,1,2,9,3,10,6,8] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,5,1,7,2,9,4,10,6,8] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,5,7,3,9,4,10,6,8] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,6,7,9,3,4,10,5,8] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,6,1,7,9,2,4,10,5,8] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,6,7,1,9,2,3,10,5,8] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[5,6,7,9,1,2,3,10,4,8] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,5,6,3,4,9,10,7,8] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,5,1,6,2,4,9,10,7,8] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,5,6,1,2,3,9,10,7,8] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,4,1,2,6,5,9,10,7,8] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,4,3,6,5,9,10,7,8] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,4,3,6,5,10,9,8,7] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,2,1,6,5,10,9,8,7] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[6,3,2,5,4,1,10,9,8,7] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[10,3,2,5,4,9,8,7,6,1] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,5,4,3,10,9,8,7] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[6,5,4,3,2,1,10,9,8,7] => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[10,5,4,3,2,9,8,7,6,1] => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[2,1,10,5,4,9,8,7,6,3] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,9,4,3,8,7,6,5,2,1] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,1,4,3,10,9,8,7,6,5] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,1,10,9,8,7,6,5] => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[10,3,2,9,8,7,6,5,4,1] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,1,10,9,8,7,6,5,4,3] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[9,10,8,7,6,5,4,3,1,2] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 0

[4,2,5,1,3,6,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,1,3,5,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,1,2,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,1,3,5,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,1,2,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,1,2,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,7,1,2,3,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,1,3,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,1,2,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,1,2,3,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,1,2,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,6,1,2,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,6,1,2,3,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,1,4,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,1,3,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,8,1,2,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,1,3,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,8,1,2,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,8,1,2,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,8,1,2,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,1,3,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,8,1,2,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,8,1,2,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,8,1,2,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,4,1,3,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,5,1,2,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,6,1,2,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,7,1,2,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,7,1,2,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,7,1,2,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,7,1,4,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,7,1,3,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,7,1,3,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,7,1,3,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,7,1,3,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,7,1,3,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,8,1,3,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,8,1,3,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,8,1,3,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,8,1,3,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,8,1,3,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,4,8,1,2,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,8,1,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,5,8,1,2,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,8,1,4,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,7,8,1,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,8,1,3,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,8,1,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,8,1,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,4,8,1,3,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,8,1,2,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,8,1,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,5,8,1,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,6,8,1,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,4,6,1,2,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,5,6,1,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,5,7,1,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,6,7,1,3,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,6,7,1,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,5,1,3,7,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,5,1,2,7,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,5,1,4,6,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,5,1,2,6,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,6,1,4,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,6,1,2,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,6,1,3,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,5,1,3,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,5,1,3,6,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,4,1,3,6,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,3,4,1,2,6,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,3,6,1,2,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,4,6,1,2,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,3,5,1,2,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,7,1,4,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,7,1,3,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,7,1,2,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,7,1,3,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,3,7,1,2,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,7,1,3,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,5,7,1,2,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,2,4,1,3,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,2,5,1,3,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,3,5,1,2,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,4,6,1,2,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,6,1,5,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,6,1,4,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,5,1,4,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,4,1,3,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,7,1,5,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,7,1,4,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,7,1,4,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,7,1,3,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,7,1,2,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,7,1,3,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,7,1,2,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,5,1,4,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,5,1,3,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,6,1,4,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,6,1,2,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,6,1,3,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,6,1,2,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,8,1,5,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,8,1,3,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,8,1,2,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,8,1,3,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,8,1,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,8,1,4,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,8,1,3,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,8,1,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,8,1,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,8,1,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,8,1,3,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,5,1,4,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,5,1,3,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,6,1,4,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,6,1,3,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,3,6,1,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,4,1,3,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,5,1,3,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,7,1,4,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,7,1,3,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,7,1,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,7,1,3,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,3,7,1,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,7,1,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,4,1,3,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,5,1,3,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,5,1,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,6,1,3,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,6,1,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,4,6,1,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,4,8,1,3,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,5,8,1,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,5,8,1,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,4,8,1,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,4,8,1,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,6,8,1,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,6,8,1,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,4,6,8,1,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,4,8,1,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,5,8,1,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,5,7,1,4,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,5,7,1,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,4,7,1,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,6,7,1,4,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,6,7,1,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,3,6,7,1,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,5,7,1,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,2,4,6,1,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,2,5,6,1,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,3,5,6,1,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,6,8,1,5,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,6,8,1,4,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,6,8,1,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,5,8,1,4,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,5,8,1,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,4,8,1,3,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,7,8,1,5,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,7,8,1,4,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,2,7,8,1,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,7,8,1,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,7,8,1,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,7,8,1,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,5,8,1,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,5,8,1,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,6,8,1,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,6,8,1,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,4,8,1,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,5,7,1,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,4,7,1,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,6,7,1,4,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,6,7,1,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,3,6,7,1,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,4,7,1,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,4,6,1,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,4,6,1,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,5,6,1,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,2,6,1,5,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,2,6,1,5,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,2,6,1,4,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,2,6,1,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,3,6,1,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,2,5,1,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,3,5,1,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,2,4,1,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,3,4,1,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,2,7,1,5,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,2,7,1,4,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,2,7,1,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,3,7,1,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,2,7,1,4,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,2,7,1,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,2,5,1,4,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,3,5,1,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,2,4,1,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,2,6,1,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,4,6,1,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,2,5,1,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,3,5,1,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,2,4,1,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,3,5,1,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,2,4,1,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,2,6,1,4,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,2,6,1,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,3,6,1,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,2,6,1,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,7,2,4,1,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,7,2,5,1,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,7,3,5,1,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,2,7,1,6,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,2,7,1,5,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,3,2,7,1,4,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,4,2,7,1,3,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,2,6,1,4,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,4,2,6,1,3,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,2,8,1,6,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,3,2,8,1,4,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,4,3,8,1,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,2,8,1,4,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,4,2,8,1,3,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,2,8,1,4,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,3,8,1,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,2,8,1,3,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,3,2,6,1,4,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,4,2,6,1,3,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,5,2,4,1,3,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,3,2,7,1,4,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,3,2,7,1,4,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,4,3,7,1,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,3,2,6,1,4,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,4,2,6,1,3,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,4,3,6,1,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,5,2,6,1,3,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,6,2,4,1,3,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,6,2,5,1,3,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,6,3,5,1,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,3,7,2,6,1,5] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[5,8,3,7,2,6,1,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[5,8,4,7,3,6,1,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,8,3,7,2,5,1,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,8,4,7,2,5,1,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,8,5,7,2,4,1,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,8,4,6,3,5,1,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,8,5,6,2,4,1,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[5,4,3,8,2,7,1,6] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,3,8,2,7,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,3,8,2,7,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,4,8,3,7,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,3,8,2,6,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,3,8,2,6,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,4,8,2,6,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,6,3,8,2,5,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,6,4,8,2,5,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,4,3,7,2,6,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,3,7,2,6,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,4,7,2,6,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,4,7,3,6,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,6,3,7,2,5,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,6,4,7,2,5,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,6,4,7,3,5,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,6,5,7,2,4,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,7,3,6,2,5,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,7,4,6,2,5,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,7,4,6,3,5,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,7,5,6,2,4,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,4,3,2,8,1,7] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,5,4,2,8,1,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,5,4,3,2,7,1,6] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,7,4,3,2,6,1,5] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,7,5,3,2,6,1,4] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,7,5,4,2,6,1,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,7,6,3,2,5,1,4] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,7,6,4,2,5,1,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,7,6,5,2,4,1,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,1,2,3,4,7,5,6] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,3,6,4,5,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,3,7,4,5,6] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,3,6,4,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,3,8,7,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,3,6,7,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,8,3,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,5,3,4,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,5,3,4,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,6,3,4,5,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,6,3,4,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,5,3,8,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,5,3,7,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,6,3,7,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,5,3,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,8,6,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,8,7,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,7,6,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,5,6,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,5,7,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,7,6,3,4,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,5,6,3,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,5,8,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,8,6,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,5,6,7,3,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,2,4,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,2,6,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,2,7,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,2,6,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,2,8,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,2,6,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,2,3,5,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,4,2,3,5,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,2,3,8,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,2,3,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,2,3,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,5,2,3,4,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,2,3,4,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,7,2,3,4,5,6] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,2,3,8,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,5,2,3,7,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,8,2,3,7,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,2,3,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,2,8,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,2,7,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,2,6,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,2,7,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,4,2,6,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,5,2,6,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,5,2,7,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,2,6,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,2,6,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,2,6,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,2,8,7,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,2,6,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,5,2,6,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,2,6,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,8,2,7,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,5,2,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,5,2,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,6,2,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,6,2,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,5,2,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,5,2,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,6,2,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,5,2,7,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,5,2,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,4,5,2,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,6,2,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,4,8,2,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,4,6,2,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,6,5,2,3,4,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,5,2,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,6,2,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,6,5,2,3,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,5,2,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,5,2,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,6,2,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,6,5,2,7,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,5,2,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,8,6,2,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,8,7,2,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,7,6,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,5,6,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,5,7,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,7,6,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,5,6,2,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,5,6,2,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,5,7,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,7,6,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,5,6,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,5,6,2,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,5,8,7,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,8,6,7,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,5,6,7,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,5,6,7,2,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,3,4,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,3,6,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,3,7,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,3,6,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,3,8,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,3,6,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,8,3,7,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,5,3,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,5,3,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,6,3,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,6,3,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,5,3,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,5,3,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,5,3,7,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,8,6,3,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,8,7,3,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,7,6,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,5,6,3,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,5,7,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,7,6,3,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,5,6,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,5,8,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,8,6,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,5,6,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,2,4,5,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,2,4,8,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,2,4,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,2,4,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,2,8,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,2,7,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,2,6,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,2,7,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,2,6,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,2,6,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,2,8,7,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,2,6,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,2,6,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,2,3,5,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,2,3,8,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,2,3,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,2,3,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,2,3,4,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,2,3,7,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,2,3,7,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,2,8,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,2,7,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,2,6,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,2,7,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,2,6,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,2,6,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,2,7,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,1,2,6,3,4,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,2,6,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,2,6,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,2,8,7,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,2,6,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,2,6,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,2,6,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,8,2,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,7,2,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,6,2,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,8,2,7,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,6,2,7,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,5,2,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,5,2,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,6,2,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,8,2,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,6,2,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,5,2,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,5,2,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,6,2,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,5,2,7,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,5,2,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,5,2,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,6,2,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,8,2,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,6,2,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,1,5,2,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,1,5,2,3,4,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,6,2,3,4,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,5,2,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,5,2,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,5,2,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,6,2,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,1,5,2,7,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,5,2,7,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,5,8,2,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,5,7,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,8,6,2,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,8,7,2,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,7,6,2,8,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,5,6,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,5,7,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,7,6,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,5,6,2,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,5,6,2,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,5,7,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,7,6,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,5,6,2,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,5,6,2,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,5,6,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,5,8,7,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,8,6,7,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,5,6,7,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,5,6,7,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,5,6,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,1,4,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,1,6,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,1,7,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,1,6,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,1,8,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,1,6,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,1,3,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,4,1,3,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,1,3,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,1,3,7,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,1,3,7,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,5,1,3,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,5,1,3,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,7,1,3,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,1,3,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,5,1,3,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,8,1,3,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,1,3,7,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,1,8,3,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,1,7,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,1,6,3,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,1,7,3,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,4,1,6,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,5,1,6,3,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,5,1,7,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,8,1,6,3,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,5,1,6,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,1,6,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,1,8,7,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,1,6,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,5,1,6,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,1,6,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,1,2,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,4,1,2,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,4,1,2,7,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,4,1,2,7,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,1,2,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,1,2,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,1,2,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,5,1,2,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,8,1,2,7,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,1,2,7,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,4,1,2,3,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,1,2,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,4,1,2,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,5,1,2,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,5,1,2,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,4,1,2,8,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,1,2,7,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,1,2,7,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,5,1,2,7,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,4,1,2,7,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,1,8,2,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,4,1,7,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,4,1,6,2,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,4,1,7,2,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,1,6,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,5,1,6,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,5,1,7,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,8,1,6,2,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,1,6,2,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,4,1,6,2,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,1,7,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,1,6,2,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,5,1,6,2,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,4,1,6,2,8,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,1,6,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,4,1,8,7,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,4,1,6,7,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,5,1,6,7,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,4,1,6,7,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,1,6,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,8,1,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,5,1,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,5,1,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,6,1,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,6,1,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,5,1,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,5,1,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,6,1,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,5,1,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,5,1,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,4,5,1,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,6,1,3,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,4,8,1,3,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,4,6,1,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,6,5,1,3,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,8,5,1,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,8,6,1,3,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,6,5,1,3,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,5,1,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,5,1,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,6,1,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,6,5,1,7,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,5,1,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,5,1,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,6,1,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,6,5,1,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,5,1,2,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,8,6,1,2,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,6,5,1,2,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,5,1,2,8,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,5,1,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,4,5,1,7,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,4,6,1,7,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,6,5,1,7,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,5,1,7,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,5,1,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,8,6,1,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,8,7,1,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,7,6,1,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,5,6,1,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,5,7,1,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,7,6,1,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,5,6,1,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,5,6,1,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,5,7,1,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,7,6,1,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,5,6,1,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,5,6,1,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,4,5,7,1,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,4,7,6,1,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,5,6,1,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,5,6,1,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,8,7,1,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,8,6,7,1,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,5,6,7,1,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,5,6,7,1,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,1,2,3,4,5,6,7,8] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,1,2,3,4,5,6,9,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,1,2,3,4,5,9,6,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,1,2,3,4,5,8,6,7] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,1,2,3,4,5,8,9,6] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,1,2,3,4,9,5,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,1,2,3,4,8,5,9,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,1,2,3,4,7,5,6,8] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,2,3,4,8,5,6,7] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,1,2,3,4,7,5,9,6] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,3,4,7,9,5,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,1,2,3,4,9,8,5,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,2,3,4,7,8,5,6] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,3,4,7,8,9,5] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,1,2,3,9,4,6,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,1,2,3,8,4,6,9,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,1,2,3,9,4,5,6,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,1,2,3,9,8,4,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,2,3,6,8,4,5,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,3,6,9,8,4,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,3,6,7,8,9,4] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,2,8,3,5,6,9,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,2,9,3,5,8,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,9,3,8,5,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,2,8,3,4,5,6,7] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,1,2,8,3,4,5,9,6] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,2,5,9,3,6,7,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,2,8,9,3,5,6,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,1,2,5,9,3,4,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,1,2,9,6,3,4,5,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,5,9,8,3,6,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,2,8,6,7,3,4,5] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,5,6,7,9,3,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,2,9,6,7,8,3,5] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,2,5,6,7,8,3,4] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,5,6,7,8,9,3] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,9,2,4,5,6,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,8,2,4,5,6,9,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,9,2,4,5,8,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,1,4,2,3,5,6,9,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,4,2,3,5,8,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,4,2,3,7,8,9,5] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,8,2,3,4,5,6,7] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,1,7,2,3,4,5,9,6] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,9,2,5,6,7,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,4,9,2,5,8,6,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,9,8,2,4,5,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,4,5,2,3,6,7,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,1,4,5,2,3,8,9,6] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,1,4,9,2,3,5,6,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,4,8,2,3,5,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,6,5,2,3,4,7,8] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,9,6,2,3,4,5,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,8,6,2,3,4,5,7] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,9,2,3,4,5,6] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,4,8,9,2,5,6,7] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,8,9,7,2,4,5,6] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,1,4,5,6,2,3,9,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,1,4,9,7,2,3,5,6] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,1,9,5,6,2,3,4,7] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,1,9,7,6,2,3,4,5] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,4,5,6,2,8,9,3] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,5,6,9,2,7,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,4,5,6,8,2,9,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,4,9,8,7,2,5,6] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,9,8,6,7,2,4,5] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,1,4,5,6,7,2,3,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,4,8,6,7,2,3,5] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,1,8,5,6,7,2,3,4] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,5,6,7,2,9,3] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,5,6,7,9,2,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,4,9,6,7,8,2,5] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,9,5,6,7,8,2,4] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,4,5,6,7,8,2,3] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,4,5,6,7,8,9,2] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,9,1,3,4,5,6,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,8,1,3,4,5,6,9,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,7,1,3,4,5,9,6,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,9,1,3,4,5,8,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,7,1,3,4,5,8,9,6] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,6,1,3,4,9,5,7,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,9,1,3,4,8,5,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,8,1,3,9,4,5,6,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,9,1,3,8,7,4,5,6] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,9,1,3,6,7,8,4,5] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,1,3,6,7,8,9,4] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,1,6,3,8,5,9,7] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,9,1,8,3,4,5,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,7,1,6,3,4,8,9,5] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,1,5,3,7,8,9,4] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,5,9,3,6,7,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,1,8,9,3,5,6,7] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,8,1,9,7,3,4,5,6] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,9,1,8,6,7,3,4,5] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,5,6,7,9,3,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,1,5,6,9,8,3,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,9,1,5,6,7,8,3,4] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,1,5,6,7,8,9,3] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,3,1,2,4,5,6,7,8] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,3,1,2,4,5,6,9,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,1,2,4,5,8,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,3,1,2,4,7,8,9,5] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,1,2,6,7,8,4,5] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,3,1,2,6,7,8,9,4] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,4,1,2,3,5,6,7,8] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,4,1,2,3,5,8,9,6] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,4,1,2,3,7,8,9,5] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,9,1,2,3,4,6,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,8,1,2,3,4,6,9,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,7,1,2,3,4,8,9,6] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,6,1,2,3,4,5,7,8] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,6,1,2,3,4,5,9,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,7,1,2,3,4,5,6,8] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,1,2,3,4,5,6,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,7,1,2,3,4,5,9,6] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,6,1,2,3,4,8,5,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,7,1,2,3,4,8,5,6] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,6,1,2,3,4,8,9,5] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,9,1,2,3,8,4,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,8,1,2,3,7,4,5,6] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,2,3,7,4,9,5] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,6,1,2,3,7,8,4,5] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,1,2,3,7,8,9,4] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,4,1,2,9,3,6,7,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,4,1,2,9,3,5,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,8,1,2,9,3,4,6,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,7,1,2,6,3,8,4,5] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,8,1,2,6,7,3,4,5] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,2,6,7,9,3,8] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,1,2,6,7,8,9,3] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,1,9,2,5,6,7,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,1,8,2,4,5,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,4,1,8,2,3,5,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,9,1,5,2,3,4,7,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,7,1,6,2,3,4,5,8] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,1,9,2,3,4,5,6] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,7,1,6,2,3,4,9,5] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,8,1,6,2,7,3,4,5] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,8,1,7,6,2,3,4,5] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,5,6,8,2,9,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,1,5,9,8,2,6,7] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,1,5,8,7,2,9,6] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,1,5,6,7,2,3,4] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,1,5,6,7,9,2,8] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,1,5,6,9,8,2,7] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,1,5,6,7,8,2,4] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,4,1,5,6,7,8,2,3] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,1,5,6,7,8,9,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,9,1,4,5,6,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,8,1,4,5,6,9,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,9,1,4,5,8,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,9,1,4,7,8,5,6] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,9,1,8,7,4,5,6] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,1,6,7,4,9,5] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,5,1,6,7,9,4,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,9,1,6,7,8,4,5] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,5,1,6,7,8,9,4] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,9,4,1,3,5,6,7,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,4,1,3,7,8,9,5] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,9,5,1,3,4,6,7,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,9,1,3,4,5,7,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,9,7,1,3,4,5,6,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,9,8,1,3,4,5,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,7,1,3,4,8,9,5] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,9,4,1,6,3,5,7,8] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,8,4,1,9,3,5,6,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,9,4,1,6,3,8,5,7] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,9,8,1,7,3,4,5,6] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,9,5,1,6,7,8,3,4] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,4,1,2,5,6,7,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,3,4,1,2,7,8,9,5] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,7,1,2,4,5,6,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,8,1,2,4,5,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,5,4,1,2,3,6,7,8] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,4,1,2,3,6,9,7] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,9,4,1,2,3,5,7,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,8,4,1,2,3,5,9,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,7,4,1,2,3,5,6,8] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,8,4,1,2,3,5,6,7] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,9,5,1,2,3,4,7,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,8,5,1,2,3,4,9,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,7,5,1,2,3,4,9,6] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,9,1,2,3,4,5,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,9,8,1,2,3,4,5,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,7,8,1,2,3,4,5,6] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,7,8,1,2,3,4,9,5] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,5,4,1,2,8,3,9,7] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,9,1,6,2,3,4,5] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,8,5,1,6,2,3,9,4] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,3,4,1,6,8,2,9,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,4,1,8,7,2,5,6] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,4,1,6,7,2,9,5] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,5,4,1,6,7,2,9,3] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,4,1,9,7,8,2,6] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,5,1,6,7,8,2,4] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,5,4,1,6,7,8,2,3] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,4,1,6,7,8,9,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,9,1,5,6,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,9,1,5,8,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,9,1,7,8,5,6] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,6,1,7,8,9,5] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,9,5,1,4,6,7,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,9,6,1,4,5,7,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,7,9,1,4,5,6,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,9,8,1,4,5,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,9,5,1,7,4,6,8] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,9,6,1,7,8,4,5] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,9,4,5,1,3,6,7,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,7,4,5,1,3,8,9,6] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,9,8,6,1,3,4,5,7] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,8,9,1,3,4,5,6] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,8,9,6,1,7,3,4,5] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,9,6,5,1,7,8,3,4] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,5,1,2,8,9,6] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,4,8,1,2,5,6,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,3,4,8,1,2,5,9,6] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,3,8,9,1,2,4,5,6] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,8,4,5,1,2,3,6,7] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,4,6,1,2,3,9,5] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,8,6,5,1,2,3,4,7] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,9,6,1,2,3,4,5] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,8,6,5,1,2,3,9,4] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,9,6,1,7,2,4,5] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,3,6,5,1,7,2,9,4] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,4,5,1,7,2,9,3] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,4,5,1,7,9,2,8] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,3,4,5,1,9,8,2,7] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,4,6,1,7,8,2,5] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,3,4,5,1,7,8,9,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,9,1,6,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,8,1,6,9,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,9,1,8,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,7,1,8,9,6] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,9,6,1,5,7,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,9,7,1,5,6,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,9,6,1,8,5,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,9,7,1,8,5,6] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,9,5,6,1,4,7,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,8,5,6,1,4,9,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,9,5,6,1,8,4,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,8,4,5,6,1,3,9,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,8,9,5,7,1,3,4,6] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,8,9,7,6,1,3,4,5] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,9,7,5,6,1,8,3,4] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,4,5,6,1,2,9,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,3,4,7,6,1,2,9,5] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,9,7,6,1,2,4,5] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,7,5,6,1,2,9,4] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,7,4,5,6,1,2,3,8] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,9,4,5,6,1,2,3,7] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,7,5,6,1,2,3,4] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,4,5,6,1,2,9,3] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,5,6,1,9,2,8] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,4,5,6,1,8,2,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,7,5,6,1,8,2,4] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,5,6,1,8,9,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,6,9,1,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,6,8,1,9,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,9,7,1,6,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,9,8,1,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,9,6,7,1,5,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,9,5,6,7,1,4,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,9,5,6,8,1,4,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,9,4,5,6,7,1,3,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,9,4,5,6,8,1,3,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,9,4,5,8,7,1,3,6] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,9,4,8,6,7,1,3,5] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,9,8,5,6,7,1,3,4] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,5,6,7,1,9,3] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,4,5,6,7,1,2,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,4,5,6,8,1,2,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,8,4,5,6,7,1,2,3] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,4,5,6,7,1,9,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,6,7,9,1,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,6,9,8,1,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,9,7,8,1,6] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,9,6,7,8,1,5] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,9,5,6,7,8,1,4] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,9,4,5,6,7,8,1,3] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,4,5,6,7,8,1,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,6,7,8,9,1] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,5,2,6,1,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,6,4,1,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,7,4,8,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,7,4,8,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,2,3,8,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,2,3,8,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,2,3,1,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,2,1,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,6,4,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,1,3,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,3,1,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,3,2,8,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,3,2,8,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,3,8,2,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,3,8,2,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,3,8,1,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,3,1,8,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,1,3,8,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,7,4,8,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,7,4,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,7,4,8,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,7,4,8,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,1,3,8,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,3,1,8,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,3,8,1,5,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,3,8,5,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,3,8,5,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,8,3,1,4,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,8,1,3,4,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,1,8,3,5,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,7,8,4,5,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,7,8,4,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,7,8,4,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,7,8,4,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,1,8,3,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,8,1,3,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,2,1,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,2,8,1,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,2,8,3,1,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,2,8,3,5,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,7,8,4,5,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,7,8,4,1,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,7,8,1,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,7,1,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,2,1,7,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,2,7,8,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,7,1,8,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,7,8,1,5,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,7,8,5,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,7,8,5,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,2,8,5,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,2,8,5,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,2,8,1,5,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,2,1,8,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,1,2,8,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,7,2,8,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,7,3,8,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,7,8,3,5,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,7,8,2,5,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,1,8,2,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,8,1,2,4,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,8,2,1,4,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,8,2,4,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,8,2,4,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,8,1,4,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,1,8,5,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,7,8,5,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,7,8,5,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,7,8,5,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,1,8,5,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,8,1,4,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,8,4,1,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,1,6,5,8,7,10,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,5,2,6,4,1,8,7,10,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,5,2,7,4,8,6,1,10,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,5,2,7,4,9,6,10,8,1] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,5,6,4,3,8,7,10,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,5,6,3,2,1,8,7,10,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,7,3,2,8,6,1,10,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,7,3,2,9,6,10,8,1] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,7,4,8,6,3,10,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,6,7,3,8,5,2,1,10,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,7,3,9,5,2,10,8,1] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,7,4,9,6,10,8,3] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,6,8,3,9,5,10,7,2,1] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,3,7,8,6,5,10,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,2,1,7,8,6,5,10,9] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,6,2,7,8,5,4,1,10,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,2,7,9,5,4,10,8,1] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,6,7,8,5,4,3,10,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,7,8,4,3,2,1,10,9] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,9,4,3,2,10,8,1] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,7,9,5,4,10,8,3] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,8,9,4,3,10,7,2,1] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,3,7,9,6,10,8,5] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,2,1,7,9,6,10,8,5] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,6,2,8,9,5,10,7,4,1] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,6,8,9,5,10,7,4,3] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,7,8,9,4,10,6,3,2,1] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,9,10,1,4,5,3,2] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,7,8,9,10,1,4,5,2,3] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,7,8,9,10,4,3,2,1,5] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,9,10,1,3,4,5,2] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,7,8,9,10,3,4,1,2,5] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,7,8,9,10,3,4,2,1,5] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,7,8,9,10,2,3,4,1,5] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,4,3,6,5,9,10,8,7] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,2,1,6,5,9,10,8,7] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,5,2,6,4,1,9,10,8,7] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,5,2,8,4,9,10,7,6,1] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,6,4,3,9,10,8,7] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,5,6,3,2,1,9,10,8,7] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,8,3,2,9,10,7,6,1] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,5,8,4,9,10,7,6,3] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,7,8,3,9,10,6,5,2,1] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,3,8,9,10,7,6,5] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,2,1,8,9,10,7,6,5] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,7,2,8,9,10,6,5,4,1] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,8,9,10,6,5,4,3] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,9,10,1,5,4,3,2] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,9,10,5,4,3,2,1] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,7,3,4,1,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[3,6,7,4,5,8,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,4,5,2,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,7,6,2,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,4,7,6,8,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,3,7,8,6,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,3,8,7,6,1,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,4,8,3,7,5,1,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,3,8,4,5,7,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,6,1,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,4,5,1,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,1,4,5,2,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,2,8,6,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,3,1,5,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,8,1,6,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,8,2,1,7,5,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,8,3,2,1,6,5,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,8,4,2,6,1,5,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[5,4,2,8,7,1,6,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[4,5,2,7,8,1,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,3,7,1,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,7,2,6,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,3,2,5,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,3,1,5,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,2,1,8,5,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,5,6,2,1,4,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,5,8,7,1,2,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,8,1,7,2,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,3,1,2,6,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,8,2,7,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,2,8,7,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,3,8,5,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,2,6,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,6,2,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,5,2,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,5,2,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,5,1,2,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,5,1,2,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,5,1,2,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,6,1,2,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,5,3,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,5,2,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,5,1,2,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,4,1,2,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,4,1,2,3,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,1,2,8,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,1,7,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,1,8,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,1,8,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,4,1,2,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,5,1,2,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,5,2,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,5,3,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,5,3,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,1,5,2,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,5,1,2,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,4,1,2,7,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,4,1,7,2,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,4,1,6,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,7,1,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,6,1,7,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,1,6,7,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,6,7,3,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,6,8,3,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,6,8,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,6,1,8,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,6,8,1,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,7,1,2,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,1,8,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,6,1,8,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,6,1,7,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,6,7,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,6,8,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,7,8,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,7,2,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,2,7,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,3,8,7,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,2,8,7,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,8,7,2,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,8,6,2,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,7,1,6,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,1,6,2,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,8,1,2,7,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,1,2,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,8,2,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,8,3,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,8,7,3,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,8,7,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,8,1,7,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,7,1,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,8,6,1,2,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,7,6,1,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,6,1,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,8,1,6,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,8,6,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,8,6,3,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,7,6,3,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,7,6,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,1,6,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,6,1,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,5,1,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,3,8,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,2,5,1,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,7,6,8,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,3,5,7,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,2,6,7,1,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,2,8,6,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,2,5,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,2,5,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,1,6,8,5,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,1,8,6,5,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,8,1,6,4,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,2,1,5,4,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,2,1,5,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,2,1,5,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,7,1,8,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,7,1,6,8,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,2,1,8,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,2,8,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,8,2,1,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,7,2,1,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,2,1,8,4,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,7,1,4,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,2,1,7,4,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,8,1,7,4,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,1,8,7,5,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,1,8,5,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,2,1,4,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,2,1,4,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,1,8,5,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,1,5,8,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,1,6,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,4,7,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,4,7,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,3,2,6,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,4,6,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,4,6,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,2,3,6,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,2,3,7,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,2,3,7,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,8,1,3,7,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,8,4,7,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,4,7,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,4,7,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,8,3,7,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,3,8,7,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,8,1,7,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,3,8,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,3,8,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,2,8,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,1,2,7,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,8,2,7,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,8,7,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,1,7,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,8,7,2,1,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,8,7,2,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,8,7,2,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,2,7,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,3,7,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,8,7,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,8,1,7,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,4,8,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,8,7,6,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,2,6,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,3,2,6,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,2,5,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,2,5,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,2,5,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,2,5,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,4,2,5,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,2,5,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,2,6,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,3,5,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,2,5,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,2,5,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,1,4,3,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,1,4,3,8,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,1,4,3,8,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,8,1,4,3,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,1,4,3,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,1,4,3,8,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,6,1,4,3,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,1,4,3,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,2,5,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,2,5,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,3,5,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,3,5,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,2,5,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,2,5,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,5,1,4,3,7,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,1,4,3,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,3,8,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,3,7,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,3,7,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,3,8,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,1,5,3,7,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,2,6,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,2,6,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,2,6,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,3,6,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,3,6,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,2,6,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,2,6,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,6,1,5,3,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,1,5,3,8,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,1,5,3,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,5,2,6,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,2,7,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,2,7,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,2,6,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,2,6,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,2,6,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,2,7,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,3,2,7,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,2,7,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,3,8,5,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,2,8,5,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,2,8,5,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,3,2,8,4,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,2,8,4,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,7,1,3,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,1,3,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,1,4,2,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,7,1,4,2,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,2,8,3,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,2,8,3,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,2,8,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,2,8,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,3,8,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,3,8,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,2,8,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,2,8,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,2,8,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,2,8,3,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,7,1,5,2,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,1,5,2,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,3,8,1,5,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,3,7,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,2,6,1,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,1,8,3,7,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,3,7,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,4,7,2,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,4,7,3,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,4,8,3,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,4,8,2,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,3,8,2,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,3,8,2,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,8,2,6,1,5,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[8,2,6,3,7,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,3,8,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,6,8,1,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,2,8,1,4,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,2,4,8,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,8,2,4,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,8,2,4,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,5,8,3,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,5,8,3,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,6,3,8,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,1,6,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,6,8,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,8,1,3,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,1,4,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,6,3,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,6,3,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,3,2,8,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,3,8,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,3,8,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,8,3,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,8,3,2,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,1,8,3,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,3,1,8,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,5,8,3,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,8,1,4,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,8,2,4,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,8,1,4,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,7,8,3,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,5,8,3,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,3,8,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,8,3,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,8,3,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,3,8,4,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,3,1,8,4,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,7,3,8,4,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,7,3,8,4,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,1,8,3,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,3,1,4,5,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,8,4,5,1,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,8,4,1,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,4,8,3,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,7,3,2,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,7,3,2,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,3,2,1,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,3,2,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,7,3,8,4,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,7,3,1,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,1,7,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,4,2,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,1,8,3,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,8,2,1,3,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,1,8,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,5,2,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,2,5,1,8,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,2,1,8,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,2,8,3,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,2,8,3,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,2,8,4,5,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,2,8,4,1,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,2,1,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,8,2,1,4,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,8,2,1,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,8,1,4,6,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,7,8,2,6,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,8,2,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,2,8,5,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,8,5,2,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,8,5,2,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,8,2,5,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,8,2,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,7,8,2,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,8,1,6,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,8,5,1,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,7,8,2,5,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,2,7,8,4,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,1,7,8,4,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,7,1,8,4,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,7,8,4,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,2,8,4,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,2,1,8,4,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,7,2,8,4,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,7,2,8,4,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,1,8,2,5,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,1,8,5,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,5,2,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,3,5,1,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,8,1,5,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,7,8,4,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,7,8,4,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,1,8,4,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,3,4,2,5,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,5,1,6,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,3,6,2,4,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,7,4,1,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,8,2,4,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,4,5,8,3,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,3,7,1,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,4,5,6,3,1,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,5,6,1,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,4,5,6,3,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,5,1,3,6,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,6,2,1,4,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,3,6,4,1,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,5,6,3,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,5,6,3,2,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,7,2,1,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,8,3,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,6,7,2,8,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,7,2,8,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,6,7,2,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,3,7,1,8,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,3,7,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,4,7,1,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,8,2,1,4,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,8,4,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,8,3,6,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,7,8,1,5,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,7,8,3,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,8,3,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,6,7,8,4,1,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,6,7,8,4,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,7,8,3,5,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,1,4,8,5,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,1,7,8,5,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,1,4,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,7,8,1,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,6,7,8,2,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,7,8,2,1,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,7,8,2,4,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,1,3,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,7,8,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,7,8,1,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,7,8,3,1,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,7,8,3,5,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,7,4,8,5,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,7,4,8,1,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,6,4,7,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,2,1,5,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,4,2,5,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,1,3,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,4,2,1,3,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,3,4,2,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,3,4,2,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,7,1,8,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,7,1,8,5,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,8,2,5,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,8,5,2,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,7,8,1,5,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,7,8,1,5,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,5,8,6,2,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,5,8,6,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,3,8,6,1,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,2,1,6,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,1,3,8,5,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,7,8,2,5,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,7,8,5,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,6,7,8,4,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,7,8,4,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,7,8,4,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,7,8,4,1,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,6,7,8,4,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,7,8,5,2,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,1,3,8,5,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,2,1,5,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,8,5,1,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,8,5,3,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,3,7,6,1,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,3,7,2,5,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,3,6,5,1,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,3,4,8,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,7,3,5,1,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,7,4,5,1,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,6,5,3,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,2,4,3,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,4,8,3,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,5,4,1,3,2,6] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,8,5,4,2,1,3,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,6,2,4,1,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,6,5,1,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,6,5,1,4,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,6,5,8,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,2,4,8,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,4,2,8,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,4,8,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,4,7,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,7,4,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,6,7,4,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,8,4,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,8,2,4,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,2,8,4,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,7,8,5,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,7,8,5,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,7,1,5,4,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,7,1,5,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,2,1,4,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,1,2,4,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,6,1,4,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,1,4,3,2,5] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,7,6,8,4,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,7,8,3,4,5,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,7,1,3,4,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,1,3,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,2,1,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,8,1,3,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,8,4,1,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,8,3,1,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,2,3,1,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,8,3,2,1,4,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,8,3,1,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,3,1,4,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,3,8,4,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,7,8,5,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,3,7,1,5,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,8,2,1,5,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,2,3,8,1,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,4,8,1,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,3,1,8,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,3,1,2,8,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,1,8,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,1,7,6,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,3,7,6,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,1,3,7,6,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,3,8,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,3,2,8,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,2,3,8,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,1,3,8,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,1,4,8,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,1,8,4,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,1,8,3,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,2,8,3,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,8,2,3,5,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,8,3,2,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,7,3,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,7,3,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,8,6,5,3,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,1,6,5,3,2,4] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,8,1,6,5,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,7,2,5,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,2,7,6,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,1,7,6,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,1,7,6,4,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,8,7,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,8,2,7,6,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,8,7,2,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,8,6,5,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,6,5,4,2,3] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,1,2,6,5,8,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,2,4,8,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,2,4,8,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,2,3,8,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,2,3,8,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,3,4,8,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,2,4,8,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,2,3,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,2,3,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,2,3,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,2,7,3,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,7,2,3,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,8,2,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,2,8,3,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,1,2,8,3,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,2,8,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,3,8,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,3,7,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,2,7,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,2,7,3,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,2,7,3,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,7,2,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,6,2,3,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,7,2,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,7,2,4,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,7,3,4,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,8,3,4,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,8,2,4,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,8,2,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,2,8,3,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,2,8,4,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,7,8,5,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,8,7,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,8,7,5,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,8,7,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,2,7,4,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,7,2,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,6,2,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,6,2,3,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,6,2,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,7,2,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,2,7,3,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,2,7,3,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,2,7,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,3,7,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,7,3,4,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,7,2,4,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,7,2,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,1,2,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,7,1,2,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,6,1,2,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,6,1,2,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,1,6,2,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,6,2,4,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,6,3,4,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,6,3,4,5,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,6,2,4,5,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,1,6,2,3,5,4] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,5,1,6,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,4,7,1,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,3,7,6,8,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,3,7,1,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,3,6,1,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,1,6,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,4,6,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,3,6,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,1,6,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,2,7,1,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,2,7,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,2,7,1,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,1,7,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,1,7,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,4,7,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,4,7,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,4,7,6,8,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,3,7,6,8,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,1,7,6,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,1,7,5,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,5,7,1,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,4,7,2,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,4,7,1,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,1,7,4,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,3,7,4,8,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,3,7,5,8,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,4,7,5,8,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,4,7,5,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,4,7,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,4,7,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,3,7,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,3,7,2,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,1,7,2,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,2,7,1,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,2,7,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,3,7,4,8,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,3,7,1,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,1,7,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,1,7,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,1,7,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,3,7,1,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,3,7,5,8,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,4,7,5,8,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,4,7,1,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,1,7,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,1,7,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,1,7,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,2,7,6,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,1,7,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,1,7,5,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,5,7,1,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,5,7,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,5,7,1,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,1,7,5,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,1,7,6,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,2,7,6,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,2,7,6,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,3,7,6,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,3,7,5,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,2,7,5,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,2,7,5,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,2,7,4,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,1,7,4,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,4,7,1,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,4,7,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,2,7,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,2,7,1,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,1,7,2,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,4,7,2,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,5,7,2,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,5,7,2,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,5,7,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,5,7,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,5,7,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,4,7,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,1,7,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,3,7,1,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,2,1,6,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,5,2,4,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,5,2,4,1,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,5,2,4,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,4,5,7,3,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,7,3,1,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,4,6,5,3,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,5,4,6,1,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,5,1,4,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,1,4,5,3,2,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,5,6,4,3,2,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,4,3,2,1,8,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,7,4,3,2,6,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,6,8,3,2,7,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,3,2,8,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,6,7,3,2,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,7,3,1,8,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,5,3,2,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,1,4,2,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,2,1,3,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,4,2,1,6,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,3,7,5,1,4,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,1,7,5,3,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,3,8,7,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,8,6,3,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,6,3,5,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,6,5,8,7,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,8,6,7,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,6,7,3,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,1,8,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,1,4,7,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,8,1,4,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,6,4,8,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,5,6,8,2,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,7,5,8,2,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,6,5,8,2,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,8,5,7,2,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,7,6,8,1,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,5,7,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,6,8,3,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,8,7,3,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,2,4,6,7,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,6,4,8,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,1,4,7,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,2,1,8,4,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,2,1,5,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,1,3,4,2,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,7,3,2,1,6,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,3,6,7,2,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,6,2,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,3,5,2,4,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,7,4,8,1,6,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,2,1,7,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,5,7,2,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,3,7,1,6,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,2,1,3,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,7,1,3,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,1,7,5,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,8,7,2,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,5,6,7,4,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,5,7,4,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,7,8,5,6,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,5,7,6,4,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,7,6,8,5,4,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,2,5,8,6,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,8,2,6,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,1,6,5,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,8,6,1,3,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,3,5,1,4,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,4,7,6,5,1,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,7,1,5,6,4,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,1,6,7,5,4,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,3,1,2,4,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,5,1,2,8,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,3,7,2,1,4,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,1,4,5,7,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,4,5,1,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,4,5,1,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,4,5,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,4,5,3,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,2,1,4,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,6,1,2,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,4,5,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,4,5,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,7,4,5,1,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,4,2,6,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,8,7,4,1,6,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,4,2,6,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,4,5,1,2,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,7,5,3,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,8,5,7,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,8,1,7,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,4,5,8,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,6,4,5,8,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,7,4,1,6,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,1,8,4,7,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,4,7,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,3,5,6,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,3,5,6,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,4,2,5,6,7,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,3,5,6,7,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,4,3,6,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,3,8,4,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,8,4,6,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,8,3,6,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,3,8,2,1,7,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,3,8,4,2,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,2,5,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,2,5,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,1,5,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,8,2,5,6,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,3,5,6,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,1,5,6,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,3,5,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,3,5,6,7,4] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,2,4,3,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,3,2,4,1,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,3,4,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,8,5,4,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,8,1,4,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,4,5,3,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,8,4,5,3,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,4,3,6,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,7,4,2,6,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,8,4,3,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,3,8,4,2,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,6,2,1,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,1,4,2,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,8,2,4,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,3,1,8,5,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,2,6,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,3,6,2,8,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,3,5,1,2,7,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,2,6,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,8,6,2,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,8,4,7,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,2,4,7,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,4,1,6,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,4,5,8,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,4,5,8,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,6,1,8,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,6,5,8,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,5,3,6,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,3,5,2,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,4,2,6,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,1,4,2,5,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,1,5,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,2,5,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,1,5,6,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,2,8,5,6,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,8,5,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,8,5,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,2,1,5,6,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,4,8,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,2,8,1,7,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,1,5,3,8,6,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,3,5,8,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,4,8,6,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,4,1,5,6,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,8,5,6,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,8,5,6,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,3,7,2,8,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,7,4,5,8,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,4,5,8,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,4,8,6,3,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,4,8,6,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,7,1,8,4,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,7,4,5,2,1,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,5,4,8,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,1,4,8,6,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,1,8,2,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,5,8,2,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,8,1,2,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,8,4,1,6,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,1,6,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,5,4,8,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,4,7,1,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,2,4,7,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,8,3,7,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,5,3,8,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,2,1,6,8,3,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,1,4,8,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,5,3,8,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,4,3,8,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,2,7,1,8,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,8,2,7,6,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,6,2,8,7,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,6,2,1,8,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,1,7,2,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,3,1,8,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,7,5,8,3,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,5,8,4,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,8,4,1,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,7,4,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,8,7,1,4,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,8,7,3,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,8,7,3,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,8,1,7,5,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[4,3,7,1,8,6,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,7,6,5,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,3,8,7,6,4,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,3,1,8,6,4,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[1,8,6,5,3,7,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,8,6,3,7,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,8,7,3,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,3,1,4,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,8,7,4,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,8,4,1,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,6,8,4,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,4,8,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,1,6,3,2,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,5,3,2,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,5,3,2,1,8,4] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,3,2,8,7,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,2,6,3,8,7,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,6,3,1,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,1,7,3,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,4,1,8,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,6,3,1,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,6,3,7,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,2,4,7,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,6,2,4,1,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,2,1,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,7,8,2,1,5,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,1,4,6,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,2,5,7,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,2,7,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,6,2,1,5,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[8,7,3,6,2,5,4,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,7,8,2,1,6,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,8,1,7,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,2,7,1,6,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[4,8,1,5,7,2,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,7,1,6,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,2,6,1,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,7,5,1,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,1,7,5,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,8,2,7,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,8,1,7,4,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[5,2,7,1,8,6,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,7,6,4,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,2,8,7,5,4,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,2,1,8,5,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,1,7,2,8,5,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,8,2,6,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,8,6,2,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,1,6,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,4,6,1,5,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,5,7,1,6,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,8,1,7,5,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,1,8,6,5,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,2,3,7,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,7,3,5,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,6,3,5,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,6,3,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,6,4,5,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,6,3,5,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,6,2,3,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,2,3,8,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,2,8,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,5,2,3,1,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,2,3,1,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,6,3,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,6,4,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,6,4,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,2,8,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,2,7,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,7,2,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,6,7,2,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,6,8,2,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,7,8,4,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,7,1,4,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,7,2,1,3,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,8,2,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,8,2,3,1,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,2,1,3,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,8,3,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,2,3,8,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,4,1,8,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,3,1,8,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,2,3,1,8,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,1,3,8,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,1,8,3,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,1,7,3,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,8,7,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,2,7,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,1,2,7,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,1,2,8,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,2,3,8,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,1,3,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,1,4,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,1,8,4,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,1,8,3,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,8,2,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,7,2,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,7,2,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,6,2,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,1,6,2,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,1,7,2,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,1,7,3,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,1,7,4,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,8,7,4,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,2,7,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,8,7,2,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,7,6,2,3,4,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,6,2,3,4,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,1,2,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,6,1,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,7,5,2,1,4,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,7,5,1,8,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,7,1,8,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,7,4,1,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,5,4,3,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,5,1,2,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,4,6,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,6,5,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,4,6,2,8,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,7,2,6,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,8,5,2,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,5,7,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,3,5,1,7,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,2,4,6,7,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,8,6,5,7,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,8,1,6,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,1,4,6,8,2,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,6,7,1,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,3,7,5,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,3,8,5,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,2,8,6,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,3,5,8,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,4,1,7,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,3,7,4,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,8,3,7,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,8,2,1,6,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,3,7,4,1,8,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,2,5,7,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,2,7,6,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,8,1,6,7,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,2,6,8,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,3,8,5,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,1,7,5,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,1,3,6,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,8,5,4,3,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,1,6,3,4,2,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,6,7,2,4,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,7,4,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,8,7,2,1,6,5] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[8,3,6,1,4,2,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,8,2,4,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,1,8,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,2,6,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,5,6,2,7,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,1,8,7,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,8,7,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,6,1,4,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,5,4,7,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,6,4,5,7,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,6,1,7,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,6,5,7,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,5,3,6,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,5,2,1,8,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,2,5,6,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,4,1,6,5,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,2,8,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,5,8,7,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,5,8,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,2,1,5,8,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,4,6,1,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,2,6,8,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,5,3,6,8,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,4,6,1,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,1,5,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,5,7,6,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,5,6,8,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,6,3,1,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,1,4,3,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,7,4,8,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,2,7,4,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,5,2,1,6,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,7,5,2,8,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,5,4,2,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,2,4,1,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,4,1,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,3,5,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,3,4,8,5,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,2,3,4,1,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,3,8,4,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,7,3,8,6,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,3,5,8,4,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,7,4,1,8,5,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,7,4,8,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,7,4,8,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,7,4,3,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,7,4,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,7,4,1,2,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,3,5,2,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,7,3,2,6,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,8,6,3,1,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,3,2,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,1,6,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,2,7,6,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,2,5,7,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,3,5,2,7,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,3,8,7,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,2,8,7,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,2,4,8,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,8,5,7,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,8,7,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,2,1,7,5,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,8,6,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,4,8,6,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,5,4,8,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,5,6,8,4,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,1,6,8,2,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,5,1,7,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,2,1,8,7,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,5,8,3,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,6,3,8,1,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,3,6,8,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,1,8,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,2,8,3,4,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,8,4,3,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,8,1,5,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,2,1,4,5,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,7,1,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,8,6,3,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,5,4,3,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,8,4,5,3,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,8,1,4,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,8,5,4,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,8,4,6,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,3,8,4,1,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,4,3,6,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,4,8,3,5,6,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,3,6,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,8,1,7,2,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,3,7,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,2,4,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,1,4,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,8,2,5,1,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,4,2,5,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,8,2,5,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,4,8,3,5,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,4,3,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,3,5,1,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,1,4,6,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,3,4,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,1,6,5,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,1,6,5,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,6,1,4,3,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,5,6,7,4,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,8,6,1,4,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,6,1,4,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,2,4,1,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,8,2,4,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,3,4,7,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,3,4,1,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,3,4,1,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,6,1,4,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,5,3,6,1,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,6,7,4,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,3,4,7,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,3,4,6,1,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,3,4,6,7,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,2,4,6,1,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,7,3,1,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,8,3,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,8,3,1,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,2,4,6,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,8,6,1,4,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,8,2,1,3,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,2,1,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,6,1,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,2,4,1,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,2,4,6,8,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,7,3,1,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,6,3,1,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,3,7,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,7,3,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,7,4,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,6,4,8,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,8,6,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,8,7,3,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,8,3,7,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,3,8,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,3,8,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,3,8,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,3,7,6,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,3,8,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,6,8,4,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,2,8,4,5,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,2,3,1,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,8,2,4,3,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,8,2,4,3,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,8,3,4,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,8,3,7,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,7,3,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,7,4,3,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,8,7,3,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,8,4,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,8,6,3,4,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,8,3,6,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,3,6,2,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,8,6,2,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,8,6,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,5,8,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,6,7,8,3,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,5,7,3,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,6,3,7,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,7,3,8,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,2,4,8,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,2,4,8,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,6,8,4,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,2,8,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,5,8,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,5,8,3,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,6,3,8,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,3,5,8,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,3,7,8,6,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,7,3,8,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,7,8,3,5,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,6,8,5,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,5,6,8,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,6,3,7,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,5,6,1,4,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,8,4,2,1,5,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,1,6,5,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,2,5,7,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,1,5,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,8,1,7,2,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,3,4,5,1,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,3,5,4,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,3,6,5,4,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,8,2,6,4,1,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,6,5,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,1,8,7,5,4,3,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,8,2,6,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,1,6,4,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,2,7,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,5,8,7,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,8,4,2,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,2,1,5,3,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,7,5,8,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,7,5,6,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,1,5,3,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,6,4,2,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,8,6,4,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,7,6,4,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,5,7,3,6,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,8,3,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,8,2,4,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,3,8,4,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,7,2,8,1,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,6,1,8,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,6,2,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,8,3,2,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,7,1,2,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,5,6,3,1,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,3,4,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,6,4,3,8,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,4,5,8,7,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,1,8,3,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,2,7,6,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,4,7,8,3,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,4,1,6,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,7,6,3,4,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,7,6,2,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,2,1,5,6,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,8,1,6,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,7,6,5,3,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,6,3,5,7,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,5,2,4,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,7,8,2,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,7,1,6,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,6,7,8,5,1,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,5,1,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,6,2,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,7,6,5,4,1,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,8,7,5,1,4,3,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,6,7,5,1,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,8,6,5,4,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,7,1,3,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,5,1,3,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,3,6,1,7,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,6,2,4,8,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,7,1,2,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,4,1,2,8,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,5,2,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,4,2,3,8,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,4,2,3,7,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,6,3,8,1,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,2,3,8,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,1,4,8,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,5,2,8,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,5,2,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,2,4,7,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,2,7,1,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,8,1,3,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,7,4,8,1,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,6,7,2,8,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,1,4,8,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,2,4,8,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,3,8,1,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,6,3,8,1,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,6,3,7,1,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,6,7,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,6,8,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,3,7,1,8,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,2,7,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,4,7,8,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,4,8,5,1,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,5,8,6,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,1,2,8,6,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,8,5,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,7,5,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,8,1,6,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,8,5,1,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,8,2,7,1,4,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,7,1,3,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,8,7,1,2,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,7,1,2,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,7,6,1,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,6,1,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,8,7,1,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,8,7,1,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,4,7,5,1,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,1,6,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,6,1,3,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,6,1,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,6,1,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,1,4,2,8,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,3,8,2,1,6,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,8,7,4,5,1,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,8,5,3,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,8,1,2,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,1,4,5,3,2,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,8,4,1,6,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,4,2,6,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,4,8,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,3,1,8,4,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,1,2,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,4,2,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,4,5,6,7,8,1,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,6,8,9,1,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,7,8,9,1,6] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,6,7,8,9,1,5] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,5,6,7,8,9,1,4] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,5,6,7,8,9,1,3] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,6,7,8,9,1,2] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,6,7,8,9,10,1] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,5,6,7,8,9,1,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,5,6,7,1,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,6,7,8,10,1,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,5,6,1,9,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,6,7,9,10,1,8] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,5,1,8,9,6,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,6,8,9,10,1,7] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,1,7,8,9,5,6] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,7,8,9,10,1,6] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,1,6,7,8,9,4,5] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,6,7,8,9,10,1,5] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,5,6,7,8,9,3,4] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,5,6,7,8,9,10,1,4] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,4,5,6,7,8,9,2,3] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,5,6,7,8,9,10,1,3] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,4,5,6,7,8,9,10,1,2] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,6,4,5,7,2,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,7,4,6,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,6,2,4,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,3,6,2,7,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,6,3,4,7,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,3,4,5,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,3,4,5,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,7,6,2,3,8,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,5,2,4,8,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,2,4,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,3,4,5,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,2,3,7,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,2,1,7,3,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,1,8,3,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,2,8,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,8,6,2,7,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,3,5,2,7,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,2,3,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,1,7,3,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,3,7,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,7,3,4,5,6] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,7,3,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,6,1,7,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,5,7,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,3,7,1,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,7,3,4,5,6] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,7,1,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,1,2,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,6,1,8,3,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,5,8,4,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,1,6,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,6,3,8,7,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,5,8,7,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,3,4,8,7,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,8,7,1,4,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,8,7,2,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,3,7,6,1,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,3,7,2,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,8,1,7,2,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,8,2,3,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,2,4,6,1,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,8,2,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,8,2,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,8,7,1,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,7,1,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,6,1,3,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,7,3,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,7,6,1,3,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,7,3,4,5,6] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,7,2,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,3,6,2,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,8,7,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,8,7,6,1,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,3,7,5,1,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,6,2,5,1,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,7,3,2,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,7,3,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,3,7,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,3,6,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,3,6,2,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,3,6,2,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,8,3,2,6,5,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,1,3,2,6,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,3,2,6,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,3,2,7,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,3,2,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,4,6,7,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,3,6,2,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,3,2,6,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,3,2,5,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,3,2,5,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,3,2,5,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,3,2,5,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,8,2,5,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,1,2,5,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,3,2,5,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,3,2,6,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,3,6,2,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,4,6,8,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,3,6,2,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,8,3,2,6,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,8,3,2,5,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,8,2,5,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,7,2,5,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,2,8,6,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,2,8,7,1,6] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,3,8,7,2,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,4,8,7,1,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,1,7,8,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,1,7,2,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,1,2,7,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,2,1,8,6,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,3,1,8,2,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,1,8,7,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,4,8,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,3,2,8,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,3,2,8,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,1,2,8,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,1,2,7,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,8,2,7,5,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,3,8,7,2,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,3,1,7,2,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,1,8,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,3,8,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,8,3,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,8,4,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,1,4,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,1,3,2,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,7,8,2,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,7,2,8,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,7,2,1,5,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,8,3,2,1,5,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,8,3,2,1,6,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,8,3,1,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,4,1,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,8,1,7,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,8,1,2,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,2,8,1,7,6] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,3,7,2,1,8,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,3,7,1,2,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,7,1,8,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,7,8,2,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,7,2,8,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,2,7,8,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,2,6,8,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,2,1,3,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,2,5,8,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,8,4,3,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,1,2,5,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,3,7,6,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,1,8,7,4,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[4,7,2,8,1,3,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,7,1,8,2,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,4,3,5,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,4,3,5,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,4,3,5,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,4,3,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,5,3,4,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,5,3,4,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,5,3,4,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,6,3,4,5,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,6,3,4,5,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,7,3,5,4,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,8,3,5,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,8,3,5,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,8,3,6,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,8,3,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,8,4,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,8,4,6,5,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,7,4,6,5,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,7,4,6,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,7,3,6,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,7,3,6,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,7,3,5,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,6,3,5,4,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,6,3,5,4,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,5,3,6,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,5,3,6,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,5,3,7,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,4,3,7,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,4,3,7,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,4,3,6,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,4,3,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,3,4,6,5,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,3,4,6,5,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,3,4,7,5,6] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,4,3,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,4,3,8,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,4,3,8,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,4,3,8,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,5,3,8,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,5,3,8,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,5,3,7,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,6,3,7,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,6,3,8,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,8,4,7,5,6] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,8,4,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,8,3,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,8,3,7,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,8,3,7,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,8,3,6,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,7,3,6,4,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,7,2,5,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,7,5,2,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,8,5,1,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,8,5,1,2,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,3,4,1,2,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,3,4,1,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,7,5,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,2,4,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,8,4,3,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,8,4,3,1,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,4,1,6,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,8,4,1,6,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,4,1,3,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,8,4,2,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,8,2,4,1,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,8,5,1,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,8,5,1,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,8,5,1,4,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,8,5,1,3,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,2,4,1,3,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,4,2,1,3,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,4,1,3,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,4,1,2,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,8,4,1,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,1,5,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,1,5,2,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,1,5,3,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,1,3,5,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,8,2,1,6,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,8,1,6,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,8,1,6,4,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,8,1,6,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,8,1,6,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,2,1,6,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,1,3,5,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,1,5,3,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,1,5,4,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,8,1,5,4,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,1,4,5,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,1,4,5,3,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,1,4,3,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,1,3,4,5,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,8,2,1,4,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,8,1,5,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,8,1,5,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,8,4,1,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,8,3,1,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,3,2,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,3,1,4,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,8,3,1,6,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,3,1,6,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,8,1,6,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,8,1,6,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,8,1,5,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,8,2,1,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,2,8,1,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,3,8,1,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,4,8,1,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,3,2,8,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,8,2,1,5,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,8,1,5,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,8,1,2,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,8,1,2,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,8,3,1,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,8,3,1,2,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,8,3,1,4,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,3,2,1,4,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,8,1,5,4,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,8,2,1,4,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,1,3,4,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,1,4,3,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,1,4,2,5,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,1,4,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,1,2,5,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,1,2,5,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,1,2,4,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,1,3,2,5,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,8,2,1,3,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,8,1,4,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,1,3,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,1,2,4,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,1,2,3,5,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,5,1,6,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,5,2,6,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,5,4,2,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,5,4,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,4,3,1,7,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,4,5,6,1,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,6,5,7,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,4,5,3,7,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,3,5,6,1,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,4,5,6,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,7,5,2,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,3,8,5,1,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,8,5,1,4,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,2,5,6,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,5,2,1,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,5,1,3,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,5,2,1,8,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,5,1,2,8,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,7,1,5,6,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,7,5,2,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,2,7,6,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,2,1,7,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,5,7,1,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,7,4,1,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,6,4,8,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,8,6,4,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,8,7,2,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,8,2,7,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,4,2,3,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,8,3,7,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,7,3,4,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,7,4,6,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,8,7,6,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,8,4,6,2,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,8,6,1,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,8,6,5,1,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,5,8,6,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,7,8,6,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,6,2,7,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,7,1,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,4,1,8,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,1,4,8,2,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,6,8,4,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,1,8,2,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,5,8,4,7,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,5,8,3,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,1,6,3,8,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,1,7,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,2,7,8,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,7,2,8,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,4,7,8,2,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,4,6,8,5,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,4,5,7,1,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,6,1,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,1,4,3,6,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,1,2,6,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,3,2,5,4,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,3,2,5,4,8,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,2,5,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,5,2,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,1,6,2,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,1,5,6,3,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,4,3,2,7,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,6,4,3,7,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,4,3,1,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,7,5,1,3,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,1,5,4,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,4,3,1,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,4,3,7,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,8,4,3,6,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,4,3,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,7,5,6,3,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,8,5,6,3,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,5,7,3,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,6,7,1,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,6,1,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,8,6,7,4,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,1,6,8,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,6,1,8,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,5,8,3,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,5,7,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,5,6,7,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,6,7,1,8,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,1,7,8,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,6,7,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,5,7,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,1,7,2,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,6,2,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,2,6,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,2,6,8,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,2,7,8,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,2,7,1,8,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,1,4,3,7,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,2,8,7,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,2,8,6,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,2,7,6,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,4,7,2,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,8,2,7,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,8,1,2,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,1,8,2,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,8,7,1,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,5,8,7,2,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,7,6,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,6,7,5,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,7,8,5,4,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,8,1,6,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,7,8,6,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,7,1,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,4,3,6,5,8,7,10,9,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[7,4,6,1,8,3,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,1,7,4,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,4,1,7,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,1,7,5,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,1,7,5,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,2,7,5,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,2,6,8,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,1,6,8,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,3,1,7,5,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[3,6,8,4,1,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,5,1,8,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,1,8,3,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,5,7,1,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,5,6,1,8,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,5,1,8,4,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,4,1,7,5,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,5,3,1,8,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,1,6,7,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,2,6,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,2,7,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,2,1,7,6,8,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,1,7,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,1,6,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,5,1,6,8,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,1,7,5,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,6,5,8,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,6,5,7,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,2,7,5,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,1,2,6,8,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,2,6,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,2,7,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,3,7,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,2,7,6,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,2,7,6,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,5,8,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,6,1,5,8,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,1,7,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,5,8,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,7,1,5,8,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,6,5,8,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,1,6,8,4,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,6,7,5,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,1,7,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,1,7,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,2,7,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,2,5,8,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,1,5,8,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,5,7,6,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,1,7,5,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,1,7,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,4,8,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,4,7,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,2,7,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,5,8,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,5,7,6,2,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,3,5,7,6,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,3,7,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,3,7,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,2,6,8,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,6,7,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,2,7,5,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,6,5,7,1,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,8,2,5,7,1,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,2,5,7,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,2,7,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,2,7,6,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,3,7,6,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,3,7,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,3,7,6,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,3,7,6,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,3,5,7,6,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,3,5,7,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,3,5,8,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,5,7,6,1,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,3,7,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,4,7,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,9,3,6,10,1,2,4,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,4,9,2,5,10,1,3,6,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,1,2,4,3,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,5,6,2,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,4,2,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,2,4,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,8,3,4,5,6,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,3,8,4,5,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,1,4,5,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,4,2,6,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,5,6,8,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,8,5,6,1,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,8,5,6,2,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,4,2,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,2,4,5,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,8,4,5,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,7,4,5,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,4,8,6,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,4,2,8,7,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,8,7,1,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,5,1,7,8,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,2,3,8,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,1,3,7,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,8,3,7,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,8,7,3,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,5,1,7,3,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,1,8,3,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,7,8,3,4,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,7,3,8,5,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,7,3,1,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,8,2,3,1,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,8,3,2,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,8,1,7,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,8,1,2,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,3,7,1,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,7,2,1,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,7,2,8,1,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,2,7,8,1,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,2,5,6,8,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,8,6,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,7,8,6,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,8,6,5,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,2,8,6,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,1,2,7,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,1,5,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,7,3,5,1,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,6,3,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,3,6,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,6,5,2,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,2,8,6,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,4,8,6,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,1,8,6,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,3,6,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,1,6,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,1,2,6,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,7,1,3,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,2,5,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,4,8,7,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,3,7,4,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,3,4,7,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,8,1,7,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,2,3,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,1,7,3,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,2,1,6,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,1,2,3,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,2,1,4,3,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,7,2,3,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,2,7,1,6,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[1,8,7,5,3,4,6,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,7,3,5,4,6,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,5,4,7,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,7,3,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,2,4,3,1,5] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,6,1,2,4,3,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,6,1,4,2,3,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,6,4,1,3,2,5] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,8,4,7,2,1,6,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[1,8,7,5,4,3,6,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,8,4,3,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,3,2,5,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,1,7,3,2,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,3,1,6,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,1,3,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,3,1,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,7,1,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,1,7,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,7,1,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,6,5,7,4,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,5,6,7,4,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,7,1,6,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,7,1,2,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,1,7,2,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,3,1,7,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,3,7,1,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,3,7,2,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,8,1,7,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,8,3,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,4,5,3,6,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,5,7,2,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,3,7,2,1,6,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,7,6,3,1,4,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,6,1,3,2,4,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,3,2,7,1,6,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,5,2,7,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,4,3,5,6,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,7,3,4,5,6,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,5,7,1,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,3,7,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,5,4,2,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,5,2,7,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,2,1,7,3,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,4,2,1,7,6,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,4,2,1,3,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,4,2,3,1,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,5,1,4,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,3,1,2,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,4,1,3,2,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,4,1,2,7,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,4,1,6,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,4,1,6,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,4,1,6,5,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,5,4,1,3,7,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,4,3,1,7,6,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,3,2,5,1,7,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,5,3,7,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,5,1,7,4,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,3,1,7,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,4,1,3,7,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,4,1,6,5,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,4,1,6,2,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,6,5,2,1,4,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,7,4,3,6,2,1,5] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,3,2,7,6,4,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,8,7,6,4,3,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,8,7,6,4,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,2,7,6,4,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,4,3,6,2,5,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,7,6,5,2,4,3,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,5,4,2,3,7,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,4,2,6,5,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,7,4,2,6,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,4,2,6,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,1,7,6,4,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,1,7,6,4,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,1,7,6,5,4,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,3,1,5,4,7,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,5,4,7,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,7,6,5,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,1,7,6,2,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,4,2,6,1,5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,7,4,2,6,5,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,4,2,3,7,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,2,5,4,7,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,5,4,7,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,7,6,5,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,7,4,3,6,5,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,7,6,5,3,1,4,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,7,6,5,1,3,2,4] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,6,5,1,3,4,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,6,5,1,4,3,2] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,7,6,5,4,1,3,2] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,7,4,3,6,1,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,3,2,7,6,1,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,1,8,7,6,3,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,2,7,6,1,4,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,5,1,4,2,3] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,6,5,1,2,4,3] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,3,5,1,8,4,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,1,8,5,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,2,1,8,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,2,7,4,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,1,8,6,5,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,6,5,1,8,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,4,1,8,5,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,2,1,8,7,5,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[1,6,4,2,7,5,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,2,7,6,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,2,1,8,7,6,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[2,5,3,1,7,8,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,1,7,8,5,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,1,7,8,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,1,6,8,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,2,8,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,2,8,5,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,2,8,6,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,2,8,6,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,5,8,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,4,8,2,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,6,8,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,5,7,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,6,8,5,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,1,8,6,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,1,6,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,5,7,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,5,8,7,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,5,8,6,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,1,8,5,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,1,8,4,7,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,4,8,6,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,4,8,7,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,4,7,3,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,3,8,7,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,3,8,5,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,3,8,4,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,1,4,8,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,4,8,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,1,3,8,7,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,4,7,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,4,6,8,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,5,8,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,4,8,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,1,6,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,5,2,3,1,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,7,3,5,2,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,3,5,2,4,1,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,2,4,1,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,1,6,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,3,5,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,4,1,5,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,3,4,1,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,3,4,1,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,8,6,7,3,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,8,5,7,3,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,3,4,1,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,1,5,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,3,5,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,4,5,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,4,5,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,6,7,4,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,6,7,3,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,7,3,4,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,3,4,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,2,7,3,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,3,5,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,4,7,3,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,5,7,3,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,5,7,4,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,5,7,4,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,4,6,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,4,6,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,3,6,2,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,3,6,2,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,3,5,1,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,4,7,3,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,3,6,2,5,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,3,6,2,5,1,8,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,5,1,7,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,1,7,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,1,7,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,7,3,6,2,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,7,4,6,2,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,6,2,3,1,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,1,7,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,1,7,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,1,7,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,2,8,6,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,3,1,8,5,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,6,2,3,1,7,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,5,6,2,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,5,6,2,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,2,4,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,1,8,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,2,8,6,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,2,8,6,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,3,8,5,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,2,8,5,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,2,8,5,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,2,8,4,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,6,2,5,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,4,6,2,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,3,8,4,5,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,5,1,6,2,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,4,6,2,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,5,6,2,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,5,6,2,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,5,6,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,4,8,5,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,4,8,5,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,3,8,5,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,8,4,5,1,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,5,1,7,3,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,6,2,8,4,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,6,1,3,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,4,7,2,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,4,7,2,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,2,5,7,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,2,5,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,2,4,5,6,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,1,5,4,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,2,1,6,3,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,4,5,3,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,4,3,2,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,8,3,7,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,5,3,1,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,8,4,7,6,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,4,7,3,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,6,1,4,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,7,2,1,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,5,2,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,2,4,5,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,2,5,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,5,8,2,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,7,8,1,4,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,5,7,8,2,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,6,1,4,3,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,8,4,5,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,8,5,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,8,6,3,2,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,8,6,1,3,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,5,8,1,3,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,3,4,5,8,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,1,4,8,3,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,7,3,1,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,6,4,1,8,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,1,5,2,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,2,8,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,5,3,8,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,3,4,2,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,4,3,1,6,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,1,3,7,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,6,5,1,3,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,2,3,4,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,3,7,6,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,3,6,8,4,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,7,8,5,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,7,8,1,4,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,4,1,6,2,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,8,4,6,1,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,8,6,3,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,5,7,6,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,2,7,5,8,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,6,7,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,8,7,6,2,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,4,7,6,2,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,7,4,3,6,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,8,3,1,7,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,7,1,6,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,7,4,1,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,3,1,2,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,2,7,6,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,2,6,8,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,1,8,4,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,1,7,3,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,3,1,7,6,2,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,7,8,1,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,7,5,6,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,6,1,8,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,3,1,6,8,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,5,8,6,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,5,3,8,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,7,3,8,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,7,5,2,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,7,5,2,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,6,8,5,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,2,5,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,2,4,8,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,7,8,6,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,5,1,8,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,4,1,5,8,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,1,5,8,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,8,1,3,7,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,8,3,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,8,3,1,5,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,6,4,1,5,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,8,5,1,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,4,5,1,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,3,7,5,8,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,7,8,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,3,6,8,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,3,6,8,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,4,6,2,8,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,4,6,1,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,4,6,1,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,2,4,1,6,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,5,1,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,3,6,7,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,1,7,3,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,3,6,2,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,1,7,2,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,8,4,7,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,7,3,1,6,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[4,6,8,3,1,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,2,7,1,5,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,3,1,8,2,4,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,1,2,6,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,4,1,6,2,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,4,1,2,6,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,4,2,7,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,8,5,3,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,5,3,1,7,4,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[8,4,5,1,2,6,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,7,1,2,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,7,2,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,7,8,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,8,3,1,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,5,8,1,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,4,6,2,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,4,6,7,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,8,2,7,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,6,8,1,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,5,6,1,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,3,7,8,1,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,7,3,4,1,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,3,4,1,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,7,1,5,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,4,7,2,5,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,8,7,2,6,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,8,7,1,6,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,8,7,6,1,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,7,6,1,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,7,5,1,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,4,6,5,1,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,7,5,1,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,8,7,6,1,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,8,7,6,1,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,7,6,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,7,1,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,8,7,2,6,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,8,2,7,6,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,8,1,7,6,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,8,1,7,6,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,8,7,1,6,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,7,1,6,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,7,1,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,6,1,5,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,6,2,5,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,7,2,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,7,2,6,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,7,2,6,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,2,7,6,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,8,3,7,6,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,2,8,7,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,8,2,7,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,2,7,5,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,2,6,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,1,6,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,1,7,5,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,1,7,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,8,7,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,1,8,7,6,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,2,1,8,7,6,5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,8,2,1,7,5,4,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,1,6,5,4,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,6,1,5,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,7,1,6,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,7,1,6,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,1,7,6,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,8,1,7,6,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,8,2,7,6,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,3,2,7,5,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,3,1,7,5,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,2,1,7,5,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,2,7,1,5,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,2,1,4,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,1,2,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,1,2,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,2,7,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,2,3,7,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,8,3,7,6,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,8,3,7,6,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,8,7,2,6,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,7,2,6,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,7,2,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,6,2,5,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,2,6,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,2,7,5,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,2,7,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,8,7,6,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,3,8,7,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,4,8,7,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,8,3,7,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,1,3,7,5,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,3,6,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,3,6,5,4,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,3,7,5,4,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,3,7,6,4,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,6,8,2,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,2,5,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,8,2,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,2,8,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,6,5,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,2,6,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,5,8,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,2,5,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,6,4,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,5,4,8,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,4,7,3,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,6,3,8,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,4,2,8,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,5,2,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,5,2,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,5,1,8,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,2,8,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,2,8,3,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,8,3,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,3,8,7,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,6,5,3,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,8,6,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,2,8,7,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,8,7,3,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,2,1,8,3,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,6,2,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,4,2,8,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,2,6,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,7,5,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,6,5,3,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,5,3,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,6,3,8,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,7,6,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,2,7,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,4,2,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,8,6,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,6,2,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,7,1,8,2,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,6,2,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,3,2,4,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,7,3,2,4,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,8,7,3,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,2,8,3,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,5,4,2,7,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,5,2,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,3,1,7,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,1,7,3,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,4,2,7,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,2,6,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,7,3,8,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,5,3,7,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,3,8,7,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,6,3,8,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,7,3,8,5,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,8,5,3,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,2,8,6,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,3,2,6,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,1,8,6,3,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,7,3,2,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,8,7,6,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,7,5,3,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,6,3,7,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,3,8,6,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,3,6,5,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,7,6,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,6,3,4,5,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,8,6,2,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,6,2,4,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,5,2,7,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,5,3,7,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,5,3,8,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,5,3,7,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,8,6,2,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,8,3,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,6,3,4,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,5,3,8,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,5,3,6,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,5,3,6,7,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,5,2,6,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,7,2,1,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,8,2,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,7,2,1,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,7,3,6,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,8,3,7,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,7,6,2,4,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,8,6,3,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,8,2,3,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,6,2,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,5,2,6,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,8,2,1,4,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,1,8,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,5,6,2,1,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,5,1,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,6,1,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,7,1,3,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,7,2,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,5,6,1,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,5,6,3,1,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,6,3,1,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,6,2,8,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,8,2,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,6,2,1,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,5,1,3,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,8,1,3,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,5,8,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,5,6,1,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,4,1,8,5,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,3,8,5,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,3,6,5,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,8,4,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,1,8,3,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,6,1,4,3,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,1,2,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,5,2,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,1,6,3,4,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,8,3,2,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,6,4,1,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,7,4,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,5,7,2,4,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,1,8,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,6,1,7,3,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,1,6,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,1,4,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,6,1,4,3,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,4,5,6,7,9,8] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,3,4,5,6,7,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,5,6,7,8,10,9] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,3,4,5,6,7,8,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[9,1,2,3,4,5,6,7,10,8] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,8,2,3,4,5,6,9,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,1,2,3,4,5,6,9,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,9,3,4,5,6,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,8,1,3,4,5,6,7,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,10,1,3,4,5,6,7,8,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[8,4,3,6,5,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,3,4,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,4,3,1,7,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[1,7,6,5,4,2,3,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,6,5,2,7,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,4,1,6,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,8,5,4,1,3,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,5,4,2,1,7,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,6,2,4,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,6,5,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,6,5,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,7,6,4,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,7,6,2,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,3,6,2,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,5,3,2,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,5,2,4,3,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,6,5,2,3,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,6,3,4,5,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,3,7,4,5,6] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,7,2,6,3,5,4] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,8,2,6,4,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,2,4,7,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,3,2,7,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,8,2,7,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,8,4,7,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,7,1,6,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,2,7,1,6,5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,7,2,1,6,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,7,1,3,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,6,1,5,3,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,6,1,5,4,3,2] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[1,8,7,2,6,5,3,4] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,8,2,5,6,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,7,1,4,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,8,1,4,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,8,3,2,1,7,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,8,3,1,4,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,3,1,6,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,6,8,4,2,7,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,8,2,7,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,3,7,1,6,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,3,8,1,5,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,1,5,2,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,1,2,6,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,1,2,5,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,2,3,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,1,4,2,3,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,4,2,6,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,4,3,2,7,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,1,3,4,2,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,1,5,3,7,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,1,5,4,7,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,1,4,6,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,1,3,6,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,3,2,6,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,2,4,5,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,2,5,4,3,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,1,2,5,3,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,3,6,4,5,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,1,2,3,6,5,4] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,1,2,3,5,6,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,1,2,4,3,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,3,2,4,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,1,3,5,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,1,4,5,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,2,5,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,4,3,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,3,5,4,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,3,4,6,5,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,3,4,5,7,6] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,8,5,1,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,4,5,1,8,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,6,8,1,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,8,6,1,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,4,5,7,1,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,6,7,1,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,7,1,8,3,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,2,7,4,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,1,7,8,4,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,1,8,7,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,8,1,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,4,5,1,6,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,6,2,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,8,2,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,2,8,4,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,3,4,7,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,6,8,5,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,2,5,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,3,1,5,6,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,3,1,5,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,6,8,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,6,7,8,5,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,7,6,8,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,8,1,6,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,2,6,4,8,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,1,5,8,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,1,8,5,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,8,1,5,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,2,1,4,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,2,8,4,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,3,4,8,5,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,3,4,6,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,3,4,8,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,8,2,3,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,7,2,3,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,2,7,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,7,5,8,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,5,7,8,6,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,3,4,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,3,4,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,3,4,5,7,6] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,3,4,6,7,5] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,6,5,8,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,1,4,8,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,4,1,8,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,4,8,1,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,4,8,6,1,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,3,8,6,1,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,3,8,1,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,3,1,8,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,1,3,8,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,4,2,8,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,3,2,8,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,1,2,8,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,2,1,8,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,2,8,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,2,8,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,8,2,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,8,1,2,5,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,1,8,2,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,3,8,2,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,4,8,2,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,4,8,3,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,4,8,6,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,4,8,6,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,3,8,6,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,1,8,6,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,8,1,5,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,8,5,2,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,3,1,4,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,8,3,5,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,8,4,5,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,8,4,5,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,8,4,3,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,8,4,2,5,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,8,3,2,5,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,1,8,3,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,8,1,3,5,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,8,3,1,5,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,8,3,5,1,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,8,4,5,1,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,8,4,1,5,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,8,1,4,5,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,1,8,4,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,7,8,5,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,7,8,6,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,8,1,5,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,8,5,1,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,8,5,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,8,5,3,1,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,1,8,6,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,2,8,6,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,2,8,6,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,3,8,6,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,8,3,5,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,8,2,5,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,8,2,5,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,2,4,1,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,2,4,3,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,8,5,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,8,5,2,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,8,5,3,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,8,5,4,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,8,5,3,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,4,1,3,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,5,2,7,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,5,8,7,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,4,8,7,3,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,8,6,3,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,1,8,6,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,4,2,7,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,5,6,7,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,2,7,8,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,4,2,8,7,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,5,2,8,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,7,4,8,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,4,8,3,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,5,1,4,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,4,6,7,2,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,8,4,3,7,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,3,7,4,2,8,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,6,2,4,5,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,6,7,1,4,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,7,4,1,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,7,1,5,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,1,2,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,8,7,3,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,6,4,2,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,5,3,8,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,3,4,7,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,3,5,4,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,7,4,3,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,4,5,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,5,3,4,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,5,4,2,7,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[1,6,5,3,4,8,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,4,2,7,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,2,6,4,7,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,5,3,2,6,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,3,1,7,2,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,3,7,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,2,6,4,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,7,1,6,2,5,4,3] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,8,1,7,3,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,5,7,3,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,6,8,3,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,1,8,4,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,8,4,5,2,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,8,5,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,8,4,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,1,7,4,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,7,3,4,6,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,8,3,5,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,6,1,7,3,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,1,6,8,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,6,8,3,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,4,8,2,7,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,1,8,7,4,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,7,5,3,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,1,8,3,7,6,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,1,7,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,2,4,7,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,8,6,3,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,7,4,5,6,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,6,4,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,8,7,5,6,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,6,3,5,4,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,1,7,6,5,2,4,3] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,1,8,6,5,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,8,7,6,3,4,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,7,4,6,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,2,5,4,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,8,7,6,4,5,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,8,7,6,5,3,4,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,8,7,6,5,4,2,3] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,8,6,7,3,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,7,3,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,7,4,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,7,4,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,7,3,6,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,8,5,6,1,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,8,5,6,1,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,8,5,6,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,8,5,6,1,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,3,8,5,6,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,4,8,5,6,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,7,4,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,7,4,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,6,4,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,7,4,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,8,5,6,2,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,8,5,6,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,6,2,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,8,4,6,2,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,7,3,6,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,6,3,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,7,3,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,7,3,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,7,3,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,8,4,6,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,7,3,6,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,7,2,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,7,2,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,7,3,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,7,3,6,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,7,3,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,7,3,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,7,2,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,7,1,4,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,7,1,4,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,7,1,5,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,8,6,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,8,5,7,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,8,5,7,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,4,7,1,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,3,7,1,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,7,1,6,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,7,1,6,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,8,4,7,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,8,4,7,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,6,2,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,6,2,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,1,5,2,6,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,5,1,7,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,6,1,7,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,6,1,7,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,6,2,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,5,6,7,8,9] => [9] => [[1,2,3,4,5,6,7,8,9]] => [[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,3,4,5,6,8,9,7] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,5,7,8,9,6] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,6,7,8,9,5] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,5,6,7,8,9,4] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,4,5,6,7,8,9,3] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,4,5,6,7,8,9,2] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,5,6,7,8,9,10] => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [[10,0,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 9

[1,2,3,4,5,6,9,8,7] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,5,6,7,9,10,8] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,3,4,5,8,7,9,6] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,5,6,8,9,10,7] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,3,4,7,6,8,9,5] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,5,7,8,9,10,6] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,3,6,5,7,8,9,4] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,6,7,8,9,10,5] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,5,4,6,7,8,9,3] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,5,6,7,8,9,10,4] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,4,3,5,6,7,8,9,2] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,5,6,7,8,9,10,3] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,2,4,5,6,7,8,9,1] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,5,6,7,8,9,10,2] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[5,7,4,6,2,3,1,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,6,3,8,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,8,3,6,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,8,3,7,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,7,2,8,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,5,2,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,8,2,3,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,8,2,4,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,5,2,8,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,5,2,4,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,8,2,7,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,7,2,8,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,8,2,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,6,2,8,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,5,2,4,1,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,5,2,8,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,5,8,2,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,7,2,3,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,8,2,4,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,4,2,8,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,4,2,8,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,8,2,5,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,5,2,8,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,5,2,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,7,2,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,7,2,8,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,5,2,7,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,4,2,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,4,2,6,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,6,2,8,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,2,1,8,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,2,1,7,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,2,1,3,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,2,3,1,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,3,1,2,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,1,3,2,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,1,7,3,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,1,6,3,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,1,6,5,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,8,1,3,7,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,3,1,7,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,1,3,8,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,1,7,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,8,7,2,1,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,6,4,2,1,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,4,6,3,7,2,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,8,7,4,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,8,7,4,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,8,6,4,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,8,6,4,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,5,2,4,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,7,8,6,2,3,1,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,6,3,2,1,4] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,8,7,5,3,2,4,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,8,4,2,3,7,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,2,6,5,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,7,2,6,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,6,2,7,3,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,8,7,4,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,8,6,4,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,6,7,5,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,6,8,2,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,2,8,1,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,2,8,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,2,7,5,1,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[2,1,8,6,7,5,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,6,7,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,3,7,5,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,6,7,3,1,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,5,8,1,3,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,5,8,1,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,6,5,7,4,1,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,4,3,8,1,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,3,2,6,8,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,6,8,3,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,8,1,4,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,8,1,2,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,7,4,6,5,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,8,7,4,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,5,4,7,3,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,5,4,8,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,3,5,4,7,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,4,3,8,7,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,8,3,4,5,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,3,4,8,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,3,5,6,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,4,5,6,7,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,4,5,6,3,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,7,5,1,8,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,2,5,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,2,4,7,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,2,1,4,3,7,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,8,4,1,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,1,4,8,3,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,8,5,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,3,5,4,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,2,8,6,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,2,6,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,6,3,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,5,2,1,4,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,5,2,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,6,1,5,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,7,2,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,4,2,1,7,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,8,3,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,6,3,2,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,3,8,5,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,3,6,5,8,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,3,8,6,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,3,2,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,3,1,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,4,1,3,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,2,6,3,4,1,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,1,6,3,2,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,6,4,2,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,7,4,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,8,7,2,4,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,3,7,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,3,8,7,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,8,3,1,7,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,3,7,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,1,3,6,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,3,4,1,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,3,2,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => [[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 0

[8,9,7,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,7,9,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,7,6,9,5,4,3,2,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,7,6,5,9,4,3,2,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,7,6,5,4,9,3,2,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,7,6,5,4,3,9,2,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,7,6,5,4,3,2,9,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,7,6,5,4,3,2,1,9] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[9,10,8,7,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,8,9,6,5,4,3,2,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[9,8,10,7,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[9,8,7,10,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[9,8,7,6,10,5,4,3,2,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[9,8,7,6,5,10,4,3,2,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[9,8,7,6,5,4,10,3,2,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[9,8,7,6,5,4,3,10,2,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,7,6,5,4,3,1,2,9] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[9,8,7,6,5,4,3,2,10,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[9,8,7,6,5,4,3,2,1,10] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[1,4,2,7,8,6,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,4,8,5,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,4,7,5,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,8,5,2,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,2,8,6,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,7,8,6,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,3,1,8,5,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,5,1,7,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,8,3,4,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,3,5,1,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,8,5,7,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,4,8,5,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,4,7,5,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,7,5,8,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,3,7,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,2,1,4,3,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,4,2,3,1,8,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,2,3,1,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,4,2,6,8,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,3,4,6,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,5,4,6,7,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,3,1,8,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,6,4,3,1,7,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,7,4,1,3,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,4,3,5,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,2,3,5,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,4,1,3,2,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,4,3,2,5,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,3,8,2,4,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,1,2,7,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,3,2,6,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,1,2,6,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,4,2,6,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,2,4,6,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,4,2,7,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,2,8,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,6,7,2,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,1,2,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,2,7,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,5,3,8,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,1,2,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,4,2,7,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,2,4,5,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,3,2,4,1,7,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,3,2,6,7,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,2,6,8,1,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,6,7,8,1,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,6,7,1,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,3,4,1,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,3,1,4,5,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,4,3,2,5,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,1,6,5,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,1,8,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,2,8,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,4,6,5,3,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,5,4,6,3,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,5,1,3,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,6,2,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,6,4,5,3,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,5,6,4,3,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,6,5,4,3,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,4,2,8,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,8,2,7,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,8,2,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,6,2,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,7,2,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,5,2,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,1,2,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,8,1,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,8,7,1,3,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,8,2,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,2,8,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,8,6,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,6,4,8,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,6,3,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,7,4,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,2,6,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,6,8,5,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,2,7,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,7,6,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,6,8,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,8,4,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,7,6,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,1,8,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,3,2,5,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,2,1,3,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,3,4,2,5,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,8,2,6,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,7,8,3,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,8,1,3,4,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,6,3,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,6,8,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,7,8,5,6,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,7,5,8,6,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,7,3,8,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,2,8,6,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,8,3,4,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,8,7,5,6,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[10,1,2,3,4,5,6,7,8,9] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[10,1,2,3,4,5,6,9,7,8] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,1,2,3,4,5,9,6,7,8] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,1,2,3,4,10,5,6,7,8] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[10,1,2,3,9,4,5,6,7,8] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,1,2,9,3,4,5,6,7,8] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,1,10,2,3,4,5,6,7,8] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[10,9,1,2,3,4,5,6,7,8] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,1,2,3,4,5,6,9,10,7] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,1,2,3,4,5,10,9,6,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,1,2,3,4,10,9,5,7,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,1,2,3,9,10,4,6,7,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,1,2,10,9,3,5,6,7,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,10,9,2,4,5,6,7,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,9,10,1,3,4,5,6,7,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,7,8,5,6,2,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,4,2,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,7,2,1,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,6,3,8,2,1,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,8,3,2,1,5,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,3,2,1,4,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,7,2,1,4,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,4,7,3,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,2,1,6,5,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,3,2,1,8,6,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,3,2,1,8,7,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,4,2,6,7,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,3,2,6,1,7,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,2,6,1,8,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,4,7,3,8,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,2,7,8,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,4,1,2,8,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,3,7,2,6,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,7,4,2,6,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,8,4,2,6,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,1,7,8,5,6,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,3,7,5,1,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,3,8,1,6,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,4,8,5,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,4,1,7,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,8,3,1,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,4,2,8,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,8,3,2,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,8,5,2,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,2,5,1,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,2,5,1,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,1,5,2,7,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,1,5,2,7,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,4,1,2,7,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,1,7,2,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,1,3,7,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,1,7,2,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,7,1,3,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,7,3,1,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,1,4,7,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,7,4,6,1,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,4,8,5,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,4,6,8,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,1,5,7,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,1,5,7,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,1,5,3,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,1,5,3,7,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,7,5,3,6,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,5,6,2,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,5,2,6,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,1,2,7,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,4,1,3,7,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,5,1,2,7,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,8,5,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,5,8,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,1,2,8,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,1,8,2,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,8,2,1,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,2,8,1,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,2,7,1,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,2,7,1,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,6,3,7,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,8,2,7,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,2,8,7,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,2,7,8,4,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,2,7,4,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,7,2,8,3,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,8,7,2,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,6,7,3,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,6,7,3,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,8,7,2,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,7,2,1,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,6,7,8,4,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,1,7,4,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,1,7,4,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,8,7,1,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,7,8,1,3,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,7,1,3,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,7,1,3,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,7,3,1,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,8,7,4,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,6,7,4,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,6,7,4,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,8,6,7,4,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,5,3,7,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,3,7,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,4,3,7,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,6,1,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,6,1,7,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,7,3,2,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,8,3,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,2,4,7,1,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,8,2,4,7,1,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,6,7,1,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,5,6,8,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,5,8,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,2,4,6,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,4,6,1,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,1,7,4,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,1,8,4,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,1,7,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,3,2,4,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,7,8,3,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,6,1,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,6,1,8,3,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,1,7,3,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,8,7,3,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,2,4,6,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,5,1,8,7,4,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,1,6,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,1,8,7,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,1,6,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,6,5,1,7,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,6,5,1,8,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,7,8,4,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,1,6,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,1,8,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,1,7,5,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,1,6,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,1,8,5,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,2,4,7,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,1,8,4,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,1,6,7,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,7,4,2,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,8,4,2,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,3,7,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,1,8,3,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,1,8,3,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,6,1,7,3,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,1,8,4,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,2,3,8,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,6,4,2,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,6,4,2,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,1,7,6,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,1,8,6,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,2,4,8,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,5,7,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,6,1,8,5,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,6,1,7,3,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,5,1,7,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,6,7,4,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,1,8,6,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,1,8,6,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,1,5,8,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,1,7,8,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,5,1,6,4,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,1,7,6,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,5,1,8,6,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,1,6,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,5,1,8,7,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,3,1,8,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,7,1,8,5,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,7,5,1,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,1,7,5,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,7,4,1,6,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,7,4,1,6,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,7,3,6,1,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,8,3,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,5,1,8,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,3,8,5,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,3,6,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,3,6,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,6,7,1,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,6,1,7,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,8,1,6,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,6,8,1,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,8,4,1,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,1,8,5,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,7,5,8,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,7,5,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,1,8,5,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,8,2,1,6,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,4,1,6,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,6,1,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,2,6,1,5,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,8,1,6,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,6,8,5,4,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,1,5,4,8,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,1,5,8,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,5,1,6,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,2,6,7,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,2,6,7,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,6,7,8,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,6,7,1,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,2,6,8,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,8,2,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,4,8,1,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,7,8,1,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,7,1,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,7,1,6,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,7,1,5,4,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,7,1,5,8,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,7,8,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,1,7,8,5,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,1,7,8,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,5,3,8,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,8,5,3,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,7,1,4,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,1,4,7,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,1,4,7,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,1,7,4,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,1,7,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,4,2,1,7,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,1,8,3,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,7,3,8,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,1,4,8,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,2,1,7,4,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,7,2,1,5,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,2,8,1,5,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,2,1,5,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,2,7,1,5,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,8,1,7,4,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,8,1,4,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,4,7,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,2,1,8,4,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,2,1,5,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,2,1,5,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,9,8,7,6,5,4,3,2] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,7,6,4,5,3,2,1,9] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,9,8,7,5,6,4,3,2] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,10,9,8,7,6,5,4,3,2] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[9,8,7,5,6,4,3,2,1,10] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,5,4,6,3,2,1,9] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,4,6,5,3,2,1,9] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,9,8,6,5,7,4,3,2] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,9,8,5,7,6,4,3,2] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,10,9,8,6,7,5,4,3,2] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,2,3,1,5,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,5,2,3,1,7,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,7,2,5,3,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,5,3,4,1,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,5,3,4,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,2,4,3,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,1,3,2,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,3,4,2,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,1,4,2,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,2,4,1,7,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,5,6,2,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,7,2,4,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,1,4,2,7,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,3,4,2,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,1,3,2,7,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,4,5,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,7,4,5,1,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,6,7,1,5,3,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,7,3,5,1,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,3,7,5,6,1,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,7,3,6,1,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,3,7,4,6,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,7,4,6,1,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,7,1,6,4,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,3,6,4,5,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,5,6,3,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,7,5,6,1,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,8,4,7,5,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,3,4,2,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,3,6,2,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,7,1,6,2,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,7,2,6,4,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,7,3,6,4,5,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,7,3,6,1,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,7,1,6,3,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,2,4,3,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,2,7,4,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,3,7,4,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,2,4,3,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,1,4,3,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,3,4,1,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,5,6,3,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,7,5,6,2,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,7,2,3,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,1,7,4,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,1,5,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,1,8,5,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,2,8,6,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,7,2,3,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,1,7,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,2,6,3,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,7,2,6,1,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,2,7,5,6,1,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,7,2,5,1,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,6,7,1,5,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,7,1,3,2,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,6,7,3,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,3,7,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,2,7,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,5,6,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,2,6,4,5,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,7,1,6,4,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,7,4,6,1,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,7,4,6,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,7,2,6,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,7,2,6,1,5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,4,7,1,6,2,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,4,6,2,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,7,1,6,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,8,5,7,3,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,4,6,1,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,7,1,6,3,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,4,6,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,7,1,6,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,7,3,6,1,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,4,8,3,6,1,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,8,1,3,2,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,6,3,2,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,8,7,3,1,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,7,3,6,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,8,4,6,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,8,4,1,5,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,8,4,5,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,8,4,5,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,6,1,5,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,8,4,5,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,8,4,5,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,8,4,5,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,8,4,1,5,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,8,4,6,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,8,2,4,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,8,2,4,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,8,4,2,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,8,4,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,8,7,3,2,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,3,7,1,6,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,8,7,3,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,8,4,6,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,8,4,6,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,8,1,4,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,8,5,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,3,8,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,5,8,3,4,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,8,5,4,3,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,3,5,4,1,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,5,3,1,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,5,2,3,1,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,8,2,4,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,2,8,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,2,1,8,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,6,8,4,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,1,8,3,4,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,8,1,4,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,8,3,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,5,4,3,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,8,5,1,3,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,8,1,4,3,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,6,3,4,2,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,4,8,3,6,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,1,5,6,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,3,5,6,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,4,1,3,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,1,5,3,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,4,5,3,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,8,5,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,8,5,4,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,8,4,6,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,8,4,6,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,4,3,6,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,4,1,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,5,4,3,1,6,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,8,4,2,3,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,3,2,8,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,2,8,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,2,8,5,4,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,2,5,3,1,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,3,5,1,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,4,5,1,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,4,5,3,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,8,5,4,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,1,8,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,4,8,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,3,2,4,8,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,5,3,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,4,5,3,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,8,5,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,2,5,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,5,3,2,4,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,5,2,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,4,8,2,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,8,4,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,5,4,3,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,4,3,8,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,8,5,3,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,4,8,5,3,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,7,8,4,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,7,4,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,5,1,4,7,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,1,5,4,7,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,5,7,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,8,7,5,3,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,1,4,3,7,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,8,7,4,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,2,8,7,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,4,8,1,7,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,4,2,8,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,2,8,4,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,2,8,4,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,4,2,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,1,4,8,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,8,1,5,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,8,5,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,8,4,5,3,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,7,8,5,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,8,4,3,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,2,8,3,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,3,2,4,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,3,2,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,3,5,8,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,5,8,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,3,7,2,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,8,7,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,8,3,7,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,7,3,5,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,3,2,4,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,1,7,3,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,1,7,4,3,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,8,4,3,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,4,7,5,3,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,7,4,5,3,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,1,7,5,3,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,1,5,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,1,4,7,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,4,2,7,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,2,7,4,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,8,6,4,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,2,8,6,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,8,1,6,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,7,1,6,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,1,7,6,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,1,7,6,4,3,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,3,4,1,6,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,4,1,8,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,3,4,1,7,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,4,1,5,2,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,4,1,6,2,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,7,3,4,1,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,8,3,5,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,5,1,6,2,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,4,1,7,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,7,3,8,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,7,3,8,1,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,7,3,8,1,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,7,4,8,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,8,3,7,1,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[9,2,1,3,4,5,6,7,8] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,2,1,3,4,5,6,7,8,9] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,2,3,1,4,5,6,7,8] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,3,5,6,7,8,9,1] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,2,5,6,7,8,9,1] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,4,5,6,7,8,9,10,1] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,5,3,2,1,4,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,3,5,2,1,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,5,2,4,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,2,4,5,7,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,4,5,3,1,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,1,4,5,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,7,4,5,2,1,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,8,4,5,7,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,4,3,6,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,8,7,4,3,6,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,4,3,6,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,3,5,1,4,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,6,8,5,7,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,3,5,1,7,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,4,7,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,8,4,7,6,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,8,1,5,6,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,3,5,6,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,7,4,1,6,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,3,6,1,4,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,6,1,2,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,7,4,1,6,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,2,5,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,1,4,2,6,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,1,2,4,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,4,5,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,4,5,1,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,4,1,6,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,6,2,4,7,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,2,1,4,7,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,3,5,2,1,4,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,3,6,2,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,4,2,6,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,6,8,4,5,7,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,8,4,5,7,2,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,3,5,1,7,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,8,3,6,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,3,6,1,2,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,2,5,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,1,5,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,1,5,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,2,5,6,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,4,7,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,1,6,2,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,3,8,6,1,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,8,5,6,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,8,10,1,3,5,7,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,7,8,9,10,1,3,4,5,6] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[5,6,7,8,10,1,2,3,4,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,4,6,8,10,12,1,3,5,7,9,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[7,8,9,10,11,12,1,2,3,4,5,6] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,5,7,6,2,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,2,6,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,7,6,1,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,2,4,7,1,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,1,3,5,8,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,7,6,1,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,8,4,7,6,1,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,4,7,1,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,4,7,2,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,3,2,7,6,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,2,1,7,6,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,1,2,8,5,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,1,7,6,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,4,2,7,8,6,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,7,1,6,5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,7,2,1,6,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,5,7,2,8,6,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,6,8,1,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,7,2,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,8,7,6,1,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,2,8,1,5,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,8,1,6,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,7,1,6,5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,2,8,1,7,6,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,3,8,2,7,6,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,8,3,7,6,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,7,8,2,6,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,7,2,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,1,2,7,6,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,2,3,7,6,5,4] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,4,5,6,7,8,9,10,2] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[10,3,4,5,6,7,8,1,2,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,1,4,5,6,7,8,9,2,3] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,10,4,5,6,7,8,1,3,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,3,4,5,6,7,1,10,2,9] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,10,5,6,7,8,9,2,4] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,1,4,5,6,7,8,2,10,3] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,7,1,8,4,5,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,5,8,2,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,5,8,3,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,1,8,3,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,5,1,8,2,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,5,1,8,7,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,4,1,8,7,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,5,7,6,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,1,8,7,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,6,1,8,7,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,1,8,7,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,1,8,2,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,1,8,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,1,3,8,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,1,2,8,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,1,2,8,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,1,8,2,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,5,8,2,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,5,7,2,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,5,7,3,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,5,8,3,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,1,8,3,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,1,3,8,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,1,4,8,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,3,1,8,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,1,3,8,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,1,4,3,8,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,4,3,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,4,2,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,4,2,8,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,4,1,2,8,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,1,2,8,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,4,1,2,8,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,1,3,8,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,4,3,8,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,4,2,8,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,3,2,8,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,6,7,2,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,2,3,8,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,2,4,8,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,3,4,8,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,3,1,4,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,1,4,8,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,1,8,3,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,1,8,3,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,2,7,3,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,2,3,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,2,3,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,2,1,3,8,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,2,3,1,8,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,4,1,8,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,1,4,8,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,2,4,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,2,4,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,3,4,7,6,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,3,4,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,3,1,4,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,6,1,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,6,5,8,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,3,5,8,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,3,5,8,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,1,5,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,5,3,1,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,5,1,8,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,5,8,1,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,5,8,3,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,1,5,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,6,5,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,6,5,8,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,1,5,8,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,3,8,7,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,8,1,5,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,1,8,5,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,6,8,5,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,6,8,5,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,6,8,5,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,1,8,5,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,8,1,5,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,8,3,5,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,8,3,5,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,8,3,1,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,3,1,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,3,8,1,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,3,8,5,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,3,8,5,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,6,8,5,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,6,8,5,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,6,8,1,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,1,6,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,3,6,8,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,6,1,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,6,8,1,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,3,8,1,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,6,8,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,6,8,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,1,8,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,8,1,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,8,3,1,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,8,5,7,1,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,8,7,1,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,2,8,7,5,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,6,4,8,1,7,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,4,8,7,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,4,8,7,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,2,8,7,5,1,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[1,6,4,7,3,8,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,4,5,8,2,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,7,3,6,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,3,4,8,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,3,7,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,3,8,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,4,8,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,3,4,8,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,4,5,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,7,3,8,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,7,5,8,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,6,3,7,1,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,3,7,2,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,1,7,3,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,1,8,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,3,8,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,4,8,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,1,5,8,2,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,4,5,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,3,4,8,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,4,8,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,1,3,7,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,2,8,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,2,1,5,8,3,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,4,1,8,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,2,1,8,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,8,7,1,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,8,7,2,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,8,3,6,1,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,8,7,1,5,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,8,7,1,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,3,7,1,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,8,7,2,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,5,1,3,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,5,1,3,8,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,1,5,4,8,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,1,5,4,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,2,1,5,4,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,1,6,4,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,5,1,6,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,1,5,6,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,1,4,6,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,2,1,4,5,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,1,4,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,1,4,6,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,1,4,6,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,1,4,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,2,1,4,7,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,1,5,7,4,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,5,1,7,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,5,1,8,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,1,5,8,4,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,1,4,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,7,5,8,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,1,6,8,4,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,6,1,8,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,7,6,8,1,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,8,6,7,1,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,6,1,7,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,1,6,7,4,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,8,7,5,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,2,1,7,4,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,1,7,4,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,1,6,4,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,1,6,4,8,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,6,1,3,8,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,6,1,3,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,7,1,3,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,3,4,1,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,8,1,3,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,8,1,3,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,7,1,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,1,8,4,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,1,8,4,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,1,8,5,4,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,8,5,1,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,7,8,6,1,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,1,8,6,4,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,6,8,5,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,1,8,7,4,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,8,1,7,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,8,7,1,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,7,1,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,1,7,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,4,8,7,1,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,2,7,8,5,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,8,5,4,6,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,5,4,6,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,3,5,4,7,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,5,4,8,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,2,8,7,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,2,4,6,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,1,8,2,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,5,4,1,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,5,2,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,4,1,5,3,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,1,6,3,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,6,4,3,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,7,8,4,3,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,6,4,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,7,6,4,3,2,5] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,1,6,7,5,8,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,2,1,4,5,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,5,7,3,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,5,6,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,1,5,7,2,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,8,5,7,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,5,2,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,5,2,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,3,8,1,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,2,3,4,1,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,4,7,8,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,7,4,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,8,4,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,8,7,4,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,1,4,3,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,8,1,4,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,7,1,4,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,5,4,1,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,6,4,1,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,5,1,4,3,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,1,4,3,2,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,2,3,4,5,6,9,7,8] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,5,8,6,9,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,7,5,8,9,6] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,6,4,7,8,9,5] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,5,3,6,7,8,9,4] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,4,2,5,6,7,8,9,3] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,8,1,2,3,4,5,6,7] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,8,9,1,2,3,4,5,6] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,7,8,9,1,2,3,4,5] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,8,7,6,5,4,3,1,2] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[9,10,1,2,3,4,5,6,7,8] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[8,9,10,1,2,3,4,5,6,7] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[10,9,8,1,2,3,4,5,6,7] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,8,9,10,1,2,3,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[10,9,8,7,6,5,4,3,1,2] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[3,4,6,2,7,1,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,5,4,1,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,2,8,1,5,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,5,4,7,8,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,3,7,5,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,2,5,8,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,1,7,5,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,4,6,2,8,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,6,3,5,8,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,2,7,1,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,2,7,1,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,7,8,5,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,1,6,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,1,6,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,4,3,2,1,5,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,8,2,1,6,4,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,8,2,1,4,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,3,2,1,7,5] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,3,7,2,5,1,8,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,2,8,1,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,2,8,1,4,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,1,4,7,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,2,1,8,4,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,1,3,7,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,8,6,1,4,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,2,1,4,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,3,2,1,5,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,7,3,2,1,5,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,5,2,1,4,7,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,8,6,1,4,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,6,5,4,3,2,1,9] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,9,7,6,5,4,3,2,1,10] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,6,8,5,4,3,2,1,9] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,8,3,5,4,6,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,7,5,2,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,1,6,3,2,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,6,2,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,6,2,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,6,2,8,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,5,1,8,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,5,1,8,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,6,5,1,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,4,1,5,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,1,5,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,6,1,4,8,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,1,4,8,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,1,8,4,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,1,8,6,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,1,5,8,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,4,1,8,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,6,3,8,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,6,3,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,6,2,8,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,4,1,8,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,1,8,6,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,1,8,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,8,7,6,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,8,5,7,1,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,4,8,1,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,5,8,7,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,4,5,8,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,3,5,8,7,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,4,8,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,8,7,5,6,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,8,7,5,1,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,5,4,8,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,5,6,8,4,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,6,8,1,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,6,8,1,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,5,8,7,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,5,8,7,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,5,8,3,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,6,3,8,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,5,8,3,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,5,8,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,5,8,2,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,7,8,2,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,7,8,2,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,4,5,8,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,3,6,1,8,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,5,8,6,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,4,8,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,4,8,5,6,1,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,8,7,1,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,8,1,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,8,1,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,8,5,1,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,4,8,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,3,5,8,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,4,5,8,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,3,5,8,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,4,8,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,4,8,5,1,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,8,1,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,8,1,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,2,6,1,5,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,7,2,5,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,7,2,6,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,1,7,5,6,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,7,5,6,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,7,4,6,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,7,1,6,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,7,1,6,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,7,2,6,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,7,2,6,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,7,5,6,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,7,4,6,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,2,7,5,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,7,5,6,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,7,5,6,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,7,5,6,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,7,1,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,1,7,3,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,8,6,4,1,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,5,1,8,6,2,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,4,2,8,5,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,3,8,5,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,3,5,6,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,8,6,2,5,1,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,4,2,8,6,1,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,8,4,2,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,8,2,6,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,3,7,8,5,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,7,8,4,5,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,3,7,8,1,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,4,7,8,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,4,8,2,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,8,6,1,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,8,4,6,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,3,6,7,2,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,2,8,1,3,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,1,4,7,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,3,6,2,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,4,2,6,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,2,8,7,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,3,1,4,2,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,6,4,2,7,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,8,2,7,1,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,2,8,1,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,6,8,1,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,6,1,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,8,4,7,2,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,5,4,8,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,5,4,8,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,5,8,3,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,8,4,3,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,7,6,3,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,7,1,5,4,3,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,5,4,3,7,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,5,7,3,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,1,4,7,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,1,4,3,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,5,1,3,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,2,4,3,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,2,4,8,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,8,4,6,2,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,5,8,6,2,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,1,4,3,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,1,4,6,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,3,2,5,4,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,7,3,5,1,6,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,6,5,7,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,5,1,8,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,3,4,5,6,7,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,9,2,3,4,5,6,7,8] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,1,2,3,4,5,6,7,8,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,8,1,2,3,4,5,6,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,8,9,2,3,4,5,6,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,10,2,3,4,5,6,7,8,9] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[8,9,1,2,3,4,5,6,7,10] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,1,8,2,3,4,5,6,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,8,1,2,3,4,5,7,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,8,2,9,3,4,5,6,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,7,9,2,3,4,5,6,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,9,10,2,3,4,5,6,7,8] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,6,4,8,7,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,3,8,7,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,4,7,8,5,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,4,8,1,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,7,2,8,1,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,8,4,5,6,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,4,8,7,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,8,5,3,7,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,4,2,8,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,2,7,3,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,3,4,2,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,3,2,8,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,8,7,4,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,6,3,4,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,4,5,6,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,3,6,5,7,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,2,7,5,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,8,5,7,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,8,1,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,6,7,3,2,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,3,7,2,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,5,4,2,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,7,4,3,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,8,7,1,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,8,2,1,7,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,5,7,8,4,1,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,4,6,3,1,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,4,3,1,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,4,2,8,5,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,6,5,3,2,7,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,6,5,1,2,4,7,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,5,8,2,1,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,8,2,6,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,5,7,6,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,5,7,1,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,5,6,2,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,5,2,1,4,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,2,5,6,1,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,5,6,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,5,6,3,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,5,7,6,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,6,2,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,8,6,1,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,5,7,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,5,7,1,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,5,8,1,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,7,6,8,4,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,7,8,6,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,5,8,1,6,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,5,7,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,5,7,6,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,6,1,7,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,6,5,7,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,3,6,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,5,6,3,7,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,5,4,1,8,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,3,5,4,7,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,3,4,7,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,2,4,1,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,6,3,7,1,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,2,6,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,6,5,7,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,8,6,2,7,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,6,3,7,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,6,3,7,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,5,4,2,8,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,1,4,2,8,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,2,6,5,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,3,5,6,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,4,1,5,6,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,6,4,1,2,8,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,1,5,2,8,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,4,5,2,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,6,5,7,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,6,5,7,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,5,7,6,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,4,1,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,4,3,7,8,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,4,2,1,8,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,2,6,5,7,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,6,2,5,1,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,3,5,7,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,4,5,7,8,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,6,4,5,1,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,6,5,7,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,8,5,6,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,7,2,5,1,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,2,5,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,4,7,1,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,7,5,8,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,5,8,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,6,1,5,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,2,5,1,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,2,5,6,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,2,5,7,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,6,4,7,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,6,7,4,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,8,3,6,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,4,7,2,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,5,1,3,4,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,4,5,1,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,3,1,5,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,4,8,2,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,4,1,6,2,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,7,6,3,1,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,7,8,5,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,2,8,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,3,6,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,2,1,4,5,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,4,1,5,3,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,6,4,3,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,8,2,7,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,7,5,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,7,4,8,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,5,6,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,6,5,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,7,3,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,7,5,8,2,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,3,6,2,7,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,7,4,6,8,2,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,5,6,3,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,5,4,8,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,6,5,7,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,7,6,8,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,5,3,8,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,5,6,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,7,6,8,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,5,6,2,7,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,4,2,7,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,5,2,4,6,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,6,3,7,4,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,6,2,4,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,4,7,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,1,7,2,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,1,8,3,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,1,8,5,2,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,4,8,3,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,8,4,5,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,8,4,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,4,3,8,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,2,5,8,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,1,3,7,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,1,7,3,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,1,8,5,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,2,8,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,3,1,5,8,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,8,4,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,8,5,3,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,8,5,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,8,6,7,5,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,6,7,3,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,5,4,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,8,5,6,7,2,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,8,4,7,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,8,6,7,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,8,7,3,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,5,8,7,3,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,5,7,4,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,7,5,6,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,7,4,6,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,5,7,6,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,8,7,4,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,8,7,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,7,4,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,8,7,5,6,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,2,1,6,3,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,4,3,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,4,3,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,1,4,3,6,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,1,3,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,4,3,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,4,3,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,1,3,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,1,3,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,2,1,3,5,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,1,3,6,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,1,6,3,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,1,8,3,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,4,3,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,4,3,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,4,3,6,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,4,3,6,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,1,3,6,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,1,3,6,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,1,4,3,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,2,1,4,3,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,1,4,6,3,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,4,8,3,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,1,8,3,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,8,1,3,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,1,8,3,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,1,8,3,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,6,8,3,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,6,3,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,3,6,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,3,8,6,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,3,8,6,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,3,8,6,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,8,3,6,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,8,6,3,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,1,6,4,3,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,1,4,3,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,1,3,6,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,1,3,6,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,8,3,6,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,8,3,6,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,8,6,3,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,1,6,3,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,6,1,3,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,6,1,3,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,6,2,1,3,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,2,1,3,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,8,4,1,3,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,8,1,4,3,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,8,4,3,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,8,4,3,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,6,4,3,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,4,1,3,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,2,1,3,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,2,1,3,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,1,5,4,8,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,3,8,1,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,1,5,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,1,5,2,8,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,2,8,1,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,2,6,5,8,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,2,6,1,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,1,7,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,1,5,2,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,3,4,2,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,8,1,3,2,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,4,8,3,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,6,8,3,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,6,8,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,1,8,5,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,5,8,1,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,4,7,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,4,8,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,3,8,4,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,6,5,8,1,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,8,4,6,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,6,1,3,2,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,3,4,2,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,3,7,2,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,1,7,2,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,2,6,1,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,2,6,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,3,5,1,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,1,5,3,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,1,5,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,4,1,7,3,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,3,6,1,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,4,6,1,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,1,5,4,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,6,8,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,1,8,5,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,5,8,1,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,7,2,4,3,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,8,2,4,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,1,8,5,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,8,2,4,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,1,5,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,7,3,8,5,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,2,8,5,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,5,6,2,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,2,6,4,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,1,5,4,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,4,5,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,2,6,3,8,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,2,6,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,1,7,2,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,5,8,3,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,7,4,8,1,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,1,8,3,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,4,8,3,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,1,8,3,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,3,8,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,1,5,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,3,4,7,1,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,3,5,7,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,3,1,8,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,8,5,3,6,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,3,8,2,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,8,3,2,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,4,3,2,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,4,3,2,6,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,3,8,5,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,3,8,4,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,7,8,3,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,5,7,3,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,3,7,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,7,6,5,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,8,5,3,7,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,7,4,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,8,1,7,3,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,7,1,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,1,3,8,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,6,3,2,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,7,8,5,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,4,6,3,1,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,4,3,7,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,8,3,7,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,3,4,1,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,3,1,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,8,3,5,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,3,5,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,1,3,6,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,7,3,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,6,3,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,6,3,5,4,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,2,8,7,4,5,6,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,1,5,6,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,2,7,5,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,2,7,4,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,2,6,7,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,8,6,7,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,7,6,4,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,7,8,5,2,6,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,6,4,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,6,1,5,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,8,6,1,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,1,5,3,4,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,1,6,4,5,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,1,7,5,6,4,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,8,6,7,5,4,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,3,5,2,1,4,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,7,2,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,7,4,3,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,6,1,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,4,6,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,4,5,7,2,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,6,3,8,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,4,6,3,7,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,7,3,6,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,4,7,5,1,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,4,7,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,3,7,1,4,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,5,7,4,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,7,1,8,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,4,7,8,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,4,7,5,8,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,6,8,3,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,3,5,8,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,7,1,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,4,1,7,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,2,5,7,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,5,4,1,3,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,2,6,4,1,3,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,6,7,4,2,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,8,4,2,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,7,8,2,4,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,2,1,4,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,6,2,1,8,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,2,8,7,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,6,4,2,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,7,5,4,8,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,4,5,8,2,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,5,1,8,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,7,5,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,7,3,6,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,6,1,2,8,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,2,5,6,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,1,6,5,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,1,8,7,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,2,7,8,5,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,2,5,8,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,4,8,2,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,1,8,7,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,4,7,1,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,1,5,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,5,7,6,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,7,1,6,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,8,2,7,6,1,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,8,2,7,6,5,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,8,2,7,6,5,4,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,8,7,2,6,5,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,8,7,2,6,5,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,7,2,6,1,5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,7,2,1,6,5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,7,3,1,6,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,7,3,2,1,6,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,7,3,2,6,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,7,3,2,6,5,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,7,3,6,2,5,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,7,3,6,2,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,7,3,6,1,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,7,3,6,5,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,7,3,6,5,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,8,7,6,3,4,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,8,7,6,3,1,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,7,6,3,2,4,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,8,7,6,2,4,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,8,7,6,2,1,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,7,6,4,2,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,8,7,6,4,2,1,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,8,7,6,4,1,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,8,7,6,4,3,1,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,2,1,5,6,4,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,7,3,8,2,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,5,7,1,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,1,7,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,5,7,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,5,7,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,7,3,8,1,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,7,3,8,5,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,7,8,3,4,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,7,8,3,1,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,6,7,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,6,7,8,4,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,1,7,8,4,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,7,8,3,2,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,5,7,2,1,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,7,2,8,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,2,1,7,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,2,7,8,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,7,2,8,5,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,5,7,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,7,8,2,4,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,7,8,4,2,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,7,1,8,5,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,1,7,8,5,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,3,6,5,8,7,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,1,3,6,5,8,7,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,1,6,3,5,8,7,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,1,6,3,8,5,7,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,1,6,3,7,5,9,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,1,5,3,7,6,9,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,1,5,4,7,6,9,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,2,5,4,7,6,9,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,1,3,6,5,8,7,10,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,4,6,1,3,5,8,7,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,1,6,3,5,8,7,10,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,4,1,6,8,3,5,7,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,1,6,3,8,5,7,10,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,4,1,6,3,8,9,5,7] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,1,6,3,8,5,10,7,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,4,1,6,3,7,5,8,9] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,1,6,3,8,5,9,7,10] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,4,1,5,3,8,6,9,7] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,1,6,3,7,5,9,8,10] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,1,6,4,7,5,9,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,1,5,3,7,6,9,8,10] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,4,2,5,3,7,6,9,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,1,5,4,7,6,9,8,10] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,2,5,4,7,6,9,8,10] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,1,2,3,4,5,6,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,4,3,6,2,5,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,7,2,5,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,7,6,8,2,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,7,5,8,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,7,2,6,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,7,4,8,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,6,5,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,8,2,6,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,8,3,7,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,6,5,8,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,4,5,7,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,8,4,5,2,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,4,5,3,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,4,1,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,3,6,1,5,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,1,6,4,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,4,7,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,1,8,6,2,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,8,2,6,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,4,2,6,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,8,5,2,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,8,5,2,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,4,1,6,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,3,6,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,3,6,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,2,3,6,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,3,8,4,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,3,8,4,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,1,3,5,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,3,8,7,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,3,8,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,1,3,7,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,3,7,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,1,3,8,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,2,3,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,1,5,2,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,1,2,4,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,8,2,7,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,2,8,7,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,6,4,2,8,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,2,8,7,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,5,8,7,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,8,7,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,1,8,7,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,5,8,2,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,7,1,2,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,8,1,7,2,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,8,7,2,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,5,4,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,5,8,6,1,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,1,8,3,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,5,3,8,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,5,3,8,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,5,2,4,8,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,6,4,8,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,6,3,8,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,2,4,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,6,5,1,2,8,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,5,4,8,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,3,4,8,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,2,8,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,6,2,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,7,4,8,5,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,7,4,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,6,8,3,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,5,1,4,3,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,1,7,4,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,7,3,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,5,2,7,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,5,1,3,7,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,5,3,1,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,3,2,1,8,6] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,7,4,3,2,8,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,2,4,8,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,6,4,8,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,5,3,8,1,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,5,3,6,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,2,7,1,6,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[8,7,2,6,1,5,4,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[1,8,5,7,4,3,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,5,7,2,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,1,7,2,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,5,6,1,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,5,8,2,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,6,8,4,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,8,1,4,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,8,4,1,3,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,8,3,2,1,7] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,3,5,1,8,4,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,5,7,3,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,4,8,5,2,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,5,8,6,3,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,8,4,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,8,7,4,1,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[5,4,8,1,7,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,1,7,3,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,8,1,5,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,7,1,3,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,7,2,1,6,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[8,3,7,6,1,5,4,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,2,7,6,5,1,4,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,3,8,7,6,2,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,4,8,7,6,1,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,8,7,2,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,8,6,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,6,4,3,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,8,7,3,6,4,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,8,7,6,2,5,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,8,7,6,5,1,4,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,8,7,6,5,4,1,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,4,1,2,5,6,7,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,1,4,5,6,7,8,9] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,2,1,5,6,7,8,9] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,8,1,2,3,4,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,4,3,2,1,6,7,8,9] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,3,2,1,7,8,9] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,4,3,2,1,8,9] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,2,1,4,5,6,7,8,9,10] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,3,2,1,5,6,7,8,9,10] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,3,2,1,6,7,8,9,10] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,4,3,2,1,7,8,9,10] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,5,4,3,2,1,8,9,10] => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,6,5,4,3,2,1,9,10] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,6,5,1,2,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,8,2,4,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,7,2,4,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,8,4,3,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,6,4,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,5,4,3,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,4,6,3,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,6,5,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,7,8,3,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,8,7,3,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,8,3,6,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,8,5,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,4,8,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,3,8,1,4,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,8,7,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,4,7,2,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,7,5,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,6,3,2,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,3,7,5,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,3,8,6,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,3,5,8,6,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,1,4,3,7,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,2,4,1,6,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,7,3,4,8,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,3,2,4,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,4,3,8,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,3,5,7,6,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,3,6,7,5,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,3,6,8,5,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,3,8,5,6,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,3,7,5,6,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,3,6,5,7,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,5,4,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,2,6,3,4,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,7,3,4,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,8,3,4,1,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,7,1,4,2,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,1,4,2,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,8,1,4,2,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,8,2,4,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,1,4,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,2,8,3,1,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,7,3,1,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,5,4,3,2,6] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,1,7,4,5,3,2,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,3,7,1,4,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,3,4,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,2,4,1,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,4,3,6,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,2,3,5,6,8,4] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,3,8,7,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,3,7,8,6,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,3,8,7,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,3,8,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,3,5,8,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,2,4,3,1,7,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,2,4,8,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,6,3,4,8,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,3,2,4,7,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,4,3,1,8,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,2,3,5,7,8,4] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,3,6,8,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,5,4,2,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,1,7,3,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,8,5,7,6,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,2,6,3,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,1,4,7,2,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,2,8,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,8,5,4,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,7,3,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,3,6,5,4,2,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,1,6,5,4,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,2,3,6,5,4,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,2,7,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,2,7,6,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,2,7,6,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,7,6,3,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,2,1,7,4,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,3,8,5,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,3,8,7,4,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,8,7,1,4,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,4,1,7,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,7,6,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,8,7,6,5,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,1,8,7,6,5,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,3,8,7,6,5,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,7,4,6,1,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,1,2,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,2,4,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,1,7,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,5,8,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,8,7,4,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,8,7,2,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,3,1,7,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,7,6,2,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,4,8,7,6,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,8,7,6,5,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,7,5,8,6,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,8,2,6,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,3,7,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,1,2,6,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,8,2,6,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,8,1,6,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,8,1,3,6,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,6,7,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,6,7,5,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,5,7,1,3,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,1,6,7,3,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,3,7,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,4,7,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,3,4,1,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,3,7,4,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,3,7,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,1,6,7,5,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,5,7,1,6,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,2,3,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,4,2,6,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,3,5,7,4,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,4,7,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,5,7,1,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,7,3,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,1,4,6,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,2,4,6,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,4,6,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,1,3,6,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,3,7,2,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,7,1,2,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,1,3,6,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,7,1,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,7,1,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,4,7,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,8,2,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,8,2,7,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,3,1,7,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,8,1,7,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,5,7,2,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,3,6,1,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,7,1,6,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,3,7,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,2,7,5,1,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,8,4,2,7,1,5,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[8,6,4,7,3,1,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,4,5,7,3,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,5,7,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,4,7,2,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,3,4,6,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,2,4,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,5,7,1,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,4,5,1,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,4,5,2,6,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,7,2,3,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,3,4,6,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,3,6,1,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,8,5,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,5,3,7,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,8,4,3,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,4,3,7,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,4,3,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,8,2,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,8,2,7,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,1,8,2,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,5,2,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,5,4,3,2,7,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,2,8,1,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,2,8,7,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,2,8,7,5,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,3,2,1,7,8,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,3,2,7,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,3,2,7,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,4,2,7,8,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,4,3,7,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,4,3,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,4,1,3,6,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,2,6,1,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,3,2,6,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,2,6,4,8,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,2,5,4,1,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,2,1,5,4,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,5,6,2,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,5,6,2,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,5,6,1,3,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,7,1,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,5,7,2,8,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,7,2,8,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,1,7,2,8,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,6,2,1,8,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,7,1,8,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,6,1,7,8,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,5,6,7,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,6,8,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,8,7,1,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,6,8,7,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,8,7,2,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,1,8,7,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,8,6,2,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,5,6,3,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,8,5,1,7,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,8,6,7,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,8,6,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,6,7,1,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,2,6,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,7,1,6,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,8,7,6,1,5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,2,8,7,6,4,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,2,1,8,6,5,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,3,6,1,8,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,7,8,5,4,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,7,8,6,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,7,8,6,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,8,6,1,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,7,6,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,7,6,8,1,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,6,8,3,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,7,6,8,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,5,8,3,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,6,5,1,8,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,4,3,1,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,7,4,3,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,7,5,3,8,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,5,1,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,7,5,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,6,5,4,3,2] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[2,7,6,1,5,4,3,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,6,5,1,4,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,6,5,3,1,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,4,3,1,5,7,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,4,1,5,2,7,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,1,3,2,7,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,3,1,7,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,1,5,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,7,2,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,1,2,4,5,3,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,2,4,7,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,2,6,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,1,6,4,2,7,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,3,6,4,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,5,3,4,7,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,1,5,2,4,7,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,1,2,5,7,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,2,7,4,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,2,5,4,3,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,4,2,3,8,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,2,7,3,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,8,2,6,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,8,1,2,4,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,8,1,3,4,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,7,3,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,7,2,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,2,7,6,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,3,8,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,7,6,3,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,8,7,5,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,4,8,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,4,6,7,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,6,4,8,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,4,6,8,5,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,6,8,5,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,7,8,5,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,7,4,8,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,4,7,8,5,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,3,8,4,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,8,4,2,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,3,2,8,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,5,2,8,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,1,5,8,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,7,3,1,5,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,4,5,2,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,5,3,2,6,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,7,1,2,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,8,4,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,8,6,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,2,6,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,3,8,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,3,8,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,7,2,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,3,4,7,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,6,4,7,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,6,7,4,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,8,7,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,5,8,4,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,8,6,4,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,8,3,6,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,8,6,4,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,8,4,6,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,7,6,4,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,2,7,4,6,5,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,2,7,3,6,5,4] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,3,5,8,7,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,6,8,5,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,6,3,1,4,2,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,3,1,4,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,3,1,4,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,3,1,6,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,3,1,6,4,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,5,8,3,4,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,3,4,1,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,3,1,2,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,6,1,2,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,1,4,2,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,1,6,4,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,6,4,1,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,6,4,8,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,8,4,6,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,1,8,4,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,1,8,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,1,6,4,2,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,1,8,4,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,1,8,6,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,8,6,1,4,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,5,3,8,6,4,1,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,5,8,3,6,1,4,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,5,8,3,1,6,4,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,5,3,6,1,4,2,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,8,4,1,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,6,3,1,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,6,3,4,1,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,5,6,8,3,1,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,4,1,8,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,3,1,8,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,3,1,8,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,3,8,1,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,3,8,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,6,1,8,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,1,2,8,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,1,2,8,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,1,4,8,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,4,8,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,4,1,6,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,1,4,6,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,5,4,1,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,8,4,7,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,3,2,8,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,8,3,2,7,6,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,5,3,2,1,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,6,4,1,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,3,2,7,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,3,8,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,6,3,7,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,5,3,2,7,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,4,3,2,7,6,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,2,8,4,7,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,8,4,7,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,7,4,8,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,3,2,8,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,5,3,2,8,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,8,3,6,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,8,3,7,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,3,8,5,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,3,2,6,8,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,8,6,7,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,2,6,7,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,4,3,7,5,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,5,7,6,4,3,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,4,5,3,2,7,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,7,3,6,5,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,4,6,3,7,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,6,3,8,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,2,6,8,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,2,6,7,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,2,5,4,7,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,8,6,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,2,8,7,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,7,3,8,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,8,3,7,5,2,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,8,3,6,5,2,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,5,3,2,8,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,4,3,2,8,6,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,3,2,5,4,8,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,5,4,8,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,8,6,5,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,8,4,3,6,5,2,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,5,7,4,3,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,8,4,3,7,5,2,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,3,2,8,7,5,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,3,2,7,8,5,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,3,8,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,1,4,5,6,7,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,1,5,6,7,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,1,6,7,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,6,1,7,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,1,4,5,6,7,8,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,4,3,1,5,6,7,8,9] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,1,5,6,7,8,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,5,1,6,7,8,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,5,6,1,7,8,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,5,6,7,1,8,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,5,6,8,7,1,9] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,6,7,8,1,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,5,6,7,9,8,1] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,8,3,5,7,1,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,1,2,4,5,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,2,4,7,1,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,5,2,4,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,7,3,6,1,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,8,3,1,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,8,3,7,1,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,8,4,7,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,8,3,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,8,4,7,1,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,8,2,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,6,8,5,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,8,2,6,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,8,3,2,1,6,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,7,2,6,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,6,2,7,5,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,2,1,8,5,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,3,2,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,7,8,2,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,2,7,8,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,1,4,8,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,3,8,6,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,7,6,3,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,7,1,4,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,1,2,7,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,1,7,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,3,5,2,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,1,5,2,8,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,6,5,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,7,6,4,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,3,4,2,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,6,2,7,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,7,4,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,7,5,3,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,6,4,3,8,5,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,7,6,2,8,4,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,2,6,8,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,2,7,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,1,8,5,4,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,2,7,4,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,6,3,7,4,1,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,5,3,1,6,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,3,8,5,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,3,7,8,5,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,2,8,4,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,8,2,4,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,7,8,3,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,7,8,6,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,7,3,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,4,3,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,1,8,4,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,2,5,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,2,4,5,6,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,6,1,2,4,5,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,7,6,2,1,4,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,8,7,5,1,4,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,5,2,1,4,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,5,2,4,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,6,2,5,3,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,4,1,6,5,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,1,7,5,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,1,7,6,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,5,6,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,7,3,6,4,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,3,7,5,4,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,1,6,7,5,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,2,6,4,3,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,1,7,5,4,3,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,1,8,6,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,6,4,3,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,7,5,4,3,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,8,6,5,4,3,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,7,5,4,3,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,4,3,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,8,3,6,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,6,5,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,8,6,5,4,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,8,7,6,5,2,4,3] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,1,7,3,2,6,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,4,3,2,8,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,3,2,1,7,4] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,6,3,2,1,7,4,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,5,4,1,7,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,5,1,7,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,1,7,4,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,3,2,7,5,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,7,2,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,8,3,1,6,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,8,3,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,1,8,2,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,4,3,1,8,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,2,5,4,6,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,5,3,7,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,8,7,5,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,6,3,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,6,3,5,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,5,6,8,4,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,4,8,7,1,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,6,8,7,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,8,7,2,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,4,8,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,6,7,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,4,8,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,6,8,5,1,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,2,6,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,5,2,8,1,4,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,7,2,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,3,8,1,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,7,3,5,1,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,4,7,5,1,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,4,1,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,8,2,1,6,4,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,2,1,8,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,4,3,1,5,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,7,6,4,1,5,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,7,2,1,4,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,2,7,1,5,4,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,2,1,5,4,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,1,6,5,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,1,5,7,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,7,6,1,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,1,7,3,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,1,7,5,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,2,8,7,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,4,6,7,3,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,5,4,7,1,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,8,6,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,6,4,3,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,5,7,8,4,3,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,4,8,6,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,8,3,6,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,6,3,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,7,6,3,5,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,7,4,6,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,4,2,3,5,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,4,7,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,2,4,5,7,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,4,6,5,8,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,2,3,8,5,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,4,3,8,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,4,6,2,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,7,2,3,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,8,2,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,2,5,8,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,8,1,2,7,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,3,1,5,6,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,7,1,5,4,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,1,5,7,6,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,6,1,5,3,7,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,5,1,3,8,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,5,2,1,3,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,2,8,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,4,1,5,2,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,3,4,1,6,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,3,6,1,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,5,7,2,1,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,2,7,1,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,2,1,7,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,4,2,8,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,7,2,5,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,8,2,5,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,8,2,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,2,4,3,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,4,3,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,2,4,7,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,2,4,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,2,4,7,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,2,4,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,7,2,4,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,2,4,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,7,2,4,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,2,4,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,2,4,6,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,8,3,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,3,2,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,2,4,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,2,8,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,4,2,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,4,3,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,2,4,8,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,7,3,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,3,5,8,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,3,4,8,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,2,3,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,2,8,6,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,5,2,8,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,7,5,2,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,2,8,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,6,2,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,6,2,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,3,2,4,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,2,3,7,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,2,3,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,4,2,3,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,6,2,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,5,2,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,5,2,3,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,2,3,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,2,3,7,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,6,2,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,3,2,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,4,2,8,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,2,8,5,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,4,2,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,2,3,8,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,4,2,8,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,2,8,6,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,2,3,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,6,1,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,1,6,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,4,3,5,8,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,1,3,7,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,3,8,2,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,8,1,2,6,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,4,2,7,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,3,6,2,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,4,3,7,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,7,8,6,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,6,8,3,2,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,4,3,7,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,4,7,6,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,8,5,6,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,3,7,5,6,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,8,5,2,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,3,6,2,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,8,6,3,2,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,8,7,3,2,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,5,3,8,7,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,3,6,2,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,7,5,3,2,1,4] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,7,6,8,3,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,6,5,8,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,7,5,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,6,5,7,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,5,2,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,8,5,6,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,6,8,1,4,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,6,1,3,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,7,6,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,8,2,4,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,6,2,4,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,4,2,6,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,1,4,2,5,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,2,1,4,3,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,5,8,7,1,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,5,6,7,8,9,2] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,1,6,7,8,9,2] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,6,7,1,8,9,2] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,6,7,8,1,9,2] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,2,5,6,7,8,9,4] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,1,5,6,7,8,9,10,2] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,4,5,6,1,7,8,9,10,2] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,4,5,6,7,1,2,9,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,6,7,8,1,2,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,6,7,8,9,1,10,2] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,6,2,3,8,7,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,3,2,8,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,6,2,5,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,5,3,7,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,5,3,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,5,2,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,4,2,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,4,3,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,4,3,7,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,3,2,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,2,5,8,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,2,4,8,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,3,2,8,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,2,4,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,4,3,1,8,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,8,5,4,3,2,1,7] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,1,5,4,3,8,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,5,4,3,7,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,7,6,5,4,3,10,9,2] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,1,4,3,8,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,5,4,7,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,1,3,8,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,3,4,7,2,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,4,3,2,1,6] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,4,7,5,2,6,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,8,2,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,6,5,2,1,7,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,7,5,6,1,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,1,8,4,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,7,4,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,7,4,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,5,2,4,1,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,6,4,1,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,5,3,2,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,1,4,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,1,2,4,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,7,6,8,2,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,8,1,7,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,8,5,7,1,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,2,4,8,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,6,5,2,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,1,8,2,5,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,7,4,1,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,4,7,5,1,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,7,6,2,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,7,1,2,5,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,7,3,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,4,2,5,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,8,2,5,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,5,8,2,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,8,7,3,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,8,7,4,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,6,7,4,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,2,8,5,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,7,1,8,5,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,2,8,5,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,7,3,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,3,1,5,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,7,2,8,5,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,4,8,5,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,3,4,8,5,6,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,8,5,2,7,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,4,5,8,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,3,6,7,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,6,4,7,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,6,4,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,5,8,7,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,2,1,5,8,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,2,7,6,1,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,8,4,7,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,8,7,5,2,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,8,6,5,2,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,1,6,4,7,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,1,2,3,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,8,5,3,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,8,4,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,5,8,4,1,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,7,1,5,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,5,6,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,8,7,3,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,4,3,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,1,3,5,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,3,4,1,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,7,3,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,7,2,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,7,2,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,7,1,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,7,1,3,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,6,7,3,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,2,7,6,1,5] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,8,4,2,1,3,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,4,3,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,7,1,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,7,3,5,6,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,3,2,8,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,6,2,1,4,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,2,8,3,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,5,1,8,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,5,2,7,4,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,2,5,4,3,8,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,8,1,4,5,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,1,2,4,5,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,6,2,4,5,3,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,1,2,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,6,2,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,5,8,2,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,8,6,2,5,1,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,1,4,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,8,4,5,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,5,4,3,8,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,8,7,4,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,4,3,7,6,1,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[8,7,4,3,1,6,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,3,8,6,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,3,4,8,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,1,7,4,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,5,7,2,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,6,8,2,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,7,4,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,4,3,1,6,7,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,8,6,3,4,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,6,3,4,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,8,5,6,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,8,4,3,1,7,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,6,5,2,8,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,1,3,6,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,2,3,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,2,5,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,3,1,5,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,2,5,6,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,1,5,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,3,5,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,2,3,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,7,8,6,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,1,8,2,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,8,1,2,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,1,2,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,1,8,6,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,4,1,2,6,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,8,2,3,6,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,6,7,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,6,8,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,7,1,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,3,2,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,4,3,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,8,6,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,3,6,2,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,1,7,2,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,6,5,8,2,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,5,8,2,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,8,7,3,6,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,8,6,1,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,5,6,1,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,4,1,2,7,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,1,8,3,7,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,6,2,8,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,3,8,7,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,3,7,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,5,8,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,5,1,2,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,4,8,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,8,2,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,5,1,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,5,2,6,7,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,8,5,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,8,2,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,1,5,8,6,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,5,1,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,8,3,7,6,1,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[3,1,5,8,6,2,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,4,8,5,1,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,4,8,1,6,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,2,8,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,4,1,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,4,6,1,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,4,8,7,1,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,4,8,1,2,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,6,2,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,1,6,8,2,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,1,8,2,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,7,1,2,8,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,7,8,1,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,3,7,1,4,2,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,1,8,4,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,4,8,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,6,4,7,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,1,4,8,3,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,3,7,1,4,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,1,5,8,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,5,3,8,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,4,3,7,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,5,4,3,7,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,5,3,8,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,5,3,2,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,4,3,2,6,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,6,4,2,5,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,1,2,7,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,8,1,4,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,1,4,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,2,5,4,3,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,2,5,4,6,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,1,2,5,4,8,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,3,8,1,4,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,1,2,7,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,4,2,6,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,4,2,5,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,5,3,2,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,1,5,2,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,1,5,7,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,5,3,6,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,4,3,6,2,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,5,4,3,6,7,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,5,3,6,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,1,5,7,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,8,4,5,1,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,5,6,1,8,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,5,6,3,8,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,6,5,7,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,7,1,8,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,8,4,7,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,4,5,1,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,3,6,1,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,5,3,6,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,6,2,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,6,4,8,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,5,3,8,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,5,8,1,4,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,7,2,3,1,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,8,1,4,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,2,7,5,6,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,8,4,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,2,6,1,4,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,7,1,4,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,1,4,3,7,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,5,4,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,7,3,6,1,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,8,2,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,8,6,7,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,2,5,1,8,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,8,1,6,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,3,6,1,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,3,7,5,1,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,8,3,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,3,8,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,1,7,6,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,2,1,4,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,3,1,4,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,3,1,4,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,2,1,4,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,1,3,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,1,7,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,3,2,7,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,6,4,1,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,5,1,6,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,5,1,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,6,5,1,4,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,3,5,1,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,3,1,5,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,1,4,2,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,1,2,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,1,2,4,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,1,4,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,1,7,4,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,2,1,5,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,1,6,3,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,4,1,2,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,6,7,4,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,8,6,2,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,8,6,3,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,7,6,3,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,3,2,1,5,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,5,3,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,3,7,6,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,2,3,6,1,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,2,8,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,8,5,7,3,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,7,3,8,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,7,5,3,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,5,8,7,6,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,7,6,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,8,5,3,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,3,7,6,2,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,1,6,3,2,7,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,1,5,2,8,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,8,4,7,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,6,1,3,2,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,6,7,3,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,8,2,1,5,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,5,8,1,6,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,2,7,8,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,5,1,6,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,5,7,1,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,4,6,8,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,5,6,1,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,8,7,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,3,5,1,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,8,4,2,5,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,7,1,6,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,2,8,4,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,8,6,5,2,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,1,4,5,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,2,1,7,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,5,1,6,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,3,5,8,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,8,4,3,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,7,1,5,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,1,6,5,8,4,7,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,8,5,4,3,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,5,6,2,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,8,7,3,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,8,4,3,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,7,6,1,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,2,7,5,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,2,6,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,4,3,2,7,1,6] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,8,6,3,2,5,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,4,7,2,1,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,4,3,7,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,8,2,4,5,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,2,3,6,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,4,3,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,1,6,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,1,3,4,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,2,6,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,3,5,4,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,8,4,5,7,6] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,3,4,5,7,6] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,2,6,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,2,3,6,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,3,5,4,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,2,4,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,8,4,6,7,5] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,3,5,4,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,2,3,6,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,8,2,3,5,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,2,5,3,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,2,4,5,3,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,3,6,4,5,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,3,6,4,5,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,3,5,4,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,8,3,6,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,7,8,3,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,8,4,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,3,4,6,7,5] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,2,4,3,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,1,5,2,8,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,3,1,5,2,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,4,5,1,2,8,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,5,4,1,2,8,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,5,1,2,8,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,8,1,5,2,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,4,1,7,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,8,5,7,1,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,6,7,1,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,8,6,1,7,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,1,6,7,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,7,6,1,8,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,6,5,7,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,7,8,1,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,4,6,1,8,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,4,6,1,7,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,3,1,6,7,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,1,6,8,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,1,7,8,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,3,1,7,6,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,8,1,6,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,6,8,1,7,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,6,7,5,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,7,8,6,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,1,7,6,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,7,1,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,7,5,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,6,5,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,6,5,1,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,4,7,3,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,3,7,5,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,3,6,5,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,3,1,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,3,1,6,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,3,7,6,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,3,7,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,6,3,5,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,5,3,6,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,7,5,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,2,3,8,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,7,5,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,8,6,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,1,8,6,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,3,1,6,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,2,6,4,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,2,1,4,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,8,3,4,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,3,8,7,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,3,6,4,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,6,3,4,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,8,7,5,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,8,6,4,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,7,4,8,6,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,6,3,8,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,6,4,8,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,7,6,4,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,3,1,8,5,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,8,5,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,4,2,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,4,3,5,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,3,1,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,2,8,3,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,8,2,4,1,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,8,3,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,8,3,5,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,7,4,2,3,5,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,8,7,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,3,6,4,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,6,3,7,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,3,8,6,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,8,4,7,6,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,3,4,8,6,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,3,8,4,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,3,8,7,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,8,3,7,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,2,1,7,4,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,2,7,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,6,3,4,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,3,8,4,6,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,8,7,4,6,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,8,7,6,4,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,7,2,6,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,8,6,1,2,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,1,5,7,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,1,3,5,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,6,2,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,7,1,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,5,7,1,6,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,8,6,2,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,7,3,4,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,6,7,2,1,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,7,2,1,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,7,5,2,8,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,8,5,1,6,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,6,7,1,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,6,7,1,4,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,3,8,5,1,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,8,6,1,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,7,6,1,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,8,5,2,6,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,7,2,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,6,7,5,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,5,2,8,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,6,7,4,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,7,4,1,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,6,7,3,1,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,7,3,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,7,5,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,7,4,2,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,6,7,4,3,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,7,6,1,4,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,8,3,6,7,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,4,7,8,5,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,4,7,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,3,5,7,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,1,6,5,4,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,7,3,8,4,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,6,5,8,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,6,8,2,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,2,7,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,2,5,3,4,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,6,8,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,6,4,5,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,7,4,1,6,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,4,5,2,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,2,7,5,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,7,8,5,1,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,8,2,7,6,1,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[5,8,2,6,3,4,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,5,8,6,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,8,4,3,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,5,7,8,2,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,7,4,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,5,6,4,3,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,6,5,4,3,2,7] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,1,5,2,8,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,8,5,7,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,2,8,5,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,2,8,5,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,5,8,6,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,8,6,1,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,8,1,5,7,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,5,8,1,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,1,5,7,2,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,5,8,6,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,5,8,6,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,8,2,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,1,2,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,5,8,6,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,1,8,5,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,5,8,3,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,1,8,5,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,8,2,1,3,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,6,8,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,8,2,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,1,6,8,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,1,8,5,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,3,1,8,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,1,6,8,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,6,8,1,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,6,8,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,5,8,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,6,8,2,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,8,1,2,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,6,8,2,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,2,6,8,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,2,6,8,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,2,8,5,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,2,5,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,4,6,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,1,6,4,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,8,5,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,2,6,8,5,4,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,2,6,8,5,4,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,8,3,2,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,3,1,2,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,8,6,3,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,8,6,3,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,1,8,5,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,8,5,4,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,8,2,3,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,8,3,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,6,8,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,3,1,8,5,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,8,5,4,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,1,6,8,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,8,3,2,1,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,8,5,6,1,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,8,7,1,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,8,1,2,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,5,6,7,2,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,1,8,2,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,6,7,1,2,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,7,2,1,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,7,1,4,2,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,6,7,3,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,6,7,4,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,6,8,4,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,7,1,4,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,7,3,1,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,1,5,8,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,1,5,4,8,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,5,3,7,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,5,4,8,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,1,5,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,4,2,1,8,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,2,7,1,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,8,1,4,2,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,7,2,4,5,6,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,2,4,5,8,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,2,3,1,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,8,1,4,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,1,3,7,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,3,2,6,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,3,2,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,3,5,2,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,2,3,1,6,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,4,5,6,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,3,5,6,2,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,1,5,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,4,2,1,6,5,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,8,4,2,1,5,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,4,6,2,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,8,7,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,7,8,5,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,3,8,1,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,3,8,7,5,1,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,2,4,1,7,3,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,8,3,2,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,4,2,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,4,3,7,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,8,3,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,3,4,5,8,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,3,6,2,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,3,7,2,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,3,8,2,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,4,1,7,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,4,1,8,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,2,7,8,5,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,4,1,6,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,3,4,2,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,6,5,3,2,1,7] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,8,5,6,3,2,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,7,8,3,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,8,7,3,2,1,6] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,6,8,3,2,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,8,4,2,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,4,2,3,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,3,4,2,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,7,6,3,2,1,5] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,8,2,6,3,7,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,1,6,2,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,8,7,2,5,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,3,7,1,6,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,8,1,2,4,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,7,1,3,4,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,2,7,5,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,8,2,6,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,8,1,6,5,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,8,2,6,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,8,1,5,4,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,1,5,4,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,8,1,6,2,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,2,1,8,6,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,8,4,1,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,8,5,3,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,8,2,6,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,8,4,7,3,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,8,3,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,4,8,1,6,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,3,6,1,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,8,5,2,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,4,8,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,4,8,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,8,2,6,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,8,5,1,2,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,8,3,5,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,4,8,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,8,6,5,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,6,2,1,5,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,8,2,6,1,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,5,8,2,4,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,7,2,4,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,5,7,3,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,7,3,8,1,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,5,8,3,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,2,5,6,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,5,2,6,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,6,3,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,1,8,4,3,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,5,8,4,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,5,8,3,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,8,1,3,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,3,8,2,1,7] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,3,7,2,8,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,4,3,7,2,6,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,6,8,3,7,2,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,6,3,2,8,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,3,6,2,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,3,7,2,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,5,3,1,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,4,1,2,8,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,4,7,6,2,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,7,4,3,6,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,8,1,6,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,3,6,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,6,7,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,6,4,7,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,7,4,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,1,4,3,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,3,4,2,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,3,2,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,3,2,5,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,8,5,7,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,3,6,7,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,3,1,6,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,7,2,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,5,2,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,7,4,1,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,1,7,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,6,3,8,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,7,2,3,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,8,7,4,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,4,1,6,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,1,7,8,4,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,8,4,2,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,3,7,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,7,4,2,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,7,6,2,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,3,5,2,7,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,8,7,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,8,1,6,5,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[3,8,7,2,6,5,4,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,2,7,8,6,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,4,7,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,8,7,3,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,6,3,7,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,3,1,7,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,6,7,2,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,8,1,5,7,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,2,6,1,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,5,6,4,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,6,7,5,2,4,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,2,6,8,1,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,7,8,5,6,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,1,6,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,8,2,6,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,3,8,6,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,7,6,5,4,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,1,4,7,6,5,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,6,7,5,1,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,8,6,5,4,1,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,8,4,3,2,1,6,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,7,3,2,1,8,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,3,6,2,1,4,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,6,2,1,4,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,2,6,1,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,2,5,1,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,2,5,1,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,2,5,1,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,7,5,1,3,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,8,5,1,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,6,8,1,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,6,5,1,3,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,6,5,1,3,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,4,3,1,7,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,7,3,1,5,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,3,1,8,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,6,1,8,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,6,1,4,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,6,1,5,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,6,1,4,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,7,2,1,5,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,2,1,4,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,2,1,4,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,6,1,4,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,7,1,5,3,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,6,1,4,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,4,1,6,7,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,1,5,8,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,1,5,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,3,1,5,6,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,1,6,4,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,2,1,5,4,6,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,1,5,4,3,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,1,6,4,3,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,1,5,4,6,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,7,1,5,4,3,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,7,5,8,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,6,7,8,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,7,5,4,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,6,7,4,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,6,5,7,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,6,5,4,3,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,7,8,5,4,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,7,6,5,8,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,8,1,2,6,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,7,2,6,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,5,6,2,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,5,7,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,8,1,7,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,6,8,1,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,2,6,7,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,3,5,6,7,1,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,3,5,4,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,3,5,4,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,8,1,3,5,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,8,3,5,6,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,7,8,1,6,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,1,7,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,8,7,2,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,5,6,2,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,2,1,3,5,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,7,2,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,1,7,5,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,6,4,3,1,8,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,3,6,7,8,1,5,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,8,1,2,5,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,7,2,5,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,8,5,2,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,4,2,8,3,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,2,5,3,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,7,5,4,2,3,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,2,6,5,4,3,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,3,2,5,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,1,2,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,6,3,2,4,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,5,7,6,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,8,1,7,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,6,7,5,4,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,8,6,3,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,8,1,6,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,1,8,6,5,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,7,2,1,6,5,4,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,7,6,3,2,1,5,4] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,1,8,6,3,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,5,2,7,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,1,7,4,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,5,4,3,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,8,3,6,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,8,5,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,3,1,6,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,5,2,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,7,5,2,6,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,7,4,6,8,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,3,7,6,2,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,2,6,3,8,5,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,1,7,6,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,3,2,4,1,7,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,1,4,6,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,4,5,3,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,1,4,7,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,6,1,7,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,6,5,1,4,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,7,4,3,6,1,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,2,8,1,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,5,8,1,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,4,7,1,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,4,5,7,6,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,5,6,8,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,1,4,2,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,8,4,6,2,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,7,8,6,2,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,8,6,1,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,6,8,2,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,6,8,2,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,6,8,1,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,4,8,2,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,3,8,4,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,6,8,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,6,8,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,8,6,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,7,8,6,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,5,2,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,5,2,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,5,1,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,8,6,1,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,8,6,2,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,8,6,3,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,7,8,6,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,8,4,6,1,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,7,8,6,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,5,1,8,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,7,5,8,3,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,5,4,1,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,5,2,4,1,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,5,3,8,1,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,5,2,1,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,8,6,4,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,7,8,6,3,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,8,6,3,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,5,1,8,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,5,3,8,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,5,4,2,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,5,1,4,2,8,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,6,4,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,2,6,5,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,1,5,6,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,4,1,5,2,8,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,4,5,2,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,7,5,8,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,7,5,8,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,3,7,8,6,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,5,4,2,1,8,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,7,5,8,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,2,5,1,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,4,5,1,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,3,7,5,8,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,6,1,3,8,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,1,8,2,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,1,8,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,1,8,6,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,4,1,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,5,1,8,4,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,1,8,4,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,5,8,7,3,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,6,2,8,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,7,8,1,6,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,5,4,3,2,7,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,9,6,5,4,3,2,1,7] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,8,5,4,3,7,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,8,4,3,2,1,7,6] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,4,3,1,8,7,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,7,5,4,3,1,6,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,3,4,6,2,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,2,1,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,6,8,4,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,3,2,8,4,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,2,8,4,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,5,7,3,8,6,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,6,8,3,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,1,5,6,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,1,8,4,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,8,1,4,2,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,8,1,3,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,6,8,3,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,3,8,2,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,7,2,8,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,3,2,8,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,4,7,3,2,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,4,5,3,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,3,8,4,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,7,4,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,7,4,1,8,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,1,4,8,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,3,1,7,8,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,7,3,8,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,7,8,4,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,3,7,8,4,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,3,7,8,4,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,7,8,3,4,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,7,4,8,5,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,4,1,8,5,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,1,4,3,8,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,3,1,2,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,1,2,7,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,3,2,7,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,2,1,7,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,3,7,8,4,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,3,1,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,7,3,1,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,2,8,4,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,2,8,4,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,7,1,8,4,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,2,1,8,4,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,8,4,2,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,1,3,8,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,8,6,4,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,4,6,2,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,8,2,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,8,5,2,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,7,8,5,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,1,7,8,5,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,5,8,1,2,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,7,3,8,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,1,3,8,5,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,7,8,2,4,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,1,8,5,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,7,3,8,5,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,1,8,5,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,7,8,5,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,6,8,2,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,6,8,1,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,2,1,8,4,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,8,2,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,1,3,8,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,4,5,8,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,5,8,1,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,4,5,8,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,2,1,6,8,4,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,5,8,1,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,6,5,8,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,4,5,8,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,8,5,2,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,1,7,6,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,2,7,3,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,2,8,7,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,1,7,5,3,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,4,5,8,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,7,4,1,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,4,6,2,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,4,2,5,8,6,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,5,6,8,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,6,7,1,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,2,8,1,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,8,2,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,8,6,7,1,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,6,8,7,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,5,6,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,3,5,6,7,4] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,7,1,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,4,8,1,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,1,6,7,3,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,8,5,4,1,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,3,8,4,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,3,1,2,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,8,5,3,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,1,2,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,7,4,1,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,2,3,7,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,7,1,3,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,4,6,7,1,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,3,6,7,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,7,6,1,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,2,5,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,3,2,1,6,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,3,4,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,2,7,4,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,2,8,7,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,5,8,2,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,7,1,6,2,8,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,8,7,1,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,1,8,5,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,5,4,1,8,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,6,8,7,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,2,5,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,4,1,5,6,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,5,6,7,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,7,1,8,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,4,7,1,8,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,4,1,3,2,5,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,3,6,5,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,3,6,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,2,1,8,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,4,6,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,1,6,5,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,2,6,5,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,2,1,5,3,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,6,4,1,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,3,4,5,1,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,8,5,7,2,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,4,7,6,2,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,3,4,7,5,8,2,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,2,4,8,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,1,3,8,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,6,5,8,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,8,7,6,3,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,8,5,1,4,7,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,5,8,6,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,5,8,6,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,3,8,4,7,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,2,1,6,8,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,3,2,7,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,4,7,8,2,1,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,3,2,8,6,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,2,8,6,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,1,6,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,2,1,8,6,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,3,6,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,3,8,1,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,8,2,7,4,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,3,6,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,7,8,4,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,4,5,8,3,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,3,7,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,8,7,2,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,8,3,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,8,7,2,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,3,8,7,4,1,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,2,4,8,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,7,2,3,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,1,3,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,2,1,3,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,2,1,3,7,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,4,1,3,2,7,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,4,2,3,1,7,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,7,2,6,1,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,8,5,7,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,3,2,6,7,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,3,6,2,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,1,5,4,7,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,7,4,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,6,4,5,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,4,6,5,8,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,7,6,8,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,6,1,3,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,8,7,2,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,8,4,1,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,1,5,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,2,6,8,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,1,6,8,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,5,1,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,5,2,6,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,8,5,4,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,2,1,3,7,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,1,5,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,5,8,1,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,3,5,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,1,8,6,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,1,4,5,6,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,7,8,2,6,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,2,8,5,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,8,1,5,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,7,2,1,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,2,1,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,7,8,4,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,2,8,4,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,8,4,1,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,2,4,8,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,2,8,4,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,8,4,1,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,1,8,5,4,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,2,8,5,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,2,4,5,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,1,4,8,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,8,4,5,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,1,4,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,6,7,8,3,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,3,7,8,5,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,3,8,5,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,7,3,8,5,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,3,2,8,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,3,2,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,6,8,1,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,3,8,1,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,3,2,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,7,8,5,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,3,2,8,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,8,3,5,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,8,3,2,5,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,3,1,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,6,8,4,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,3,8,4,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,7,8,4,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,3,4,2,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,3,4,8,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,8,3,4,2,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,3,4,1,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,3,7,8,5,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,3,8,5,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,7,8,5,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,3,8,5,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,8,4,5,3,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,3,4,5,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,3,8,5,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,8,4,5,3,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,3,4,8,6,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,8,4,5,6,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,3,4,5,6,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,8,2,3,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,2,4,3,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,7,2,6,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,6,1,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,8,2,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,8,1,5,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,3,8,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,2,3,4,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,5,1,3,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,5,7,4,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,3,7,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,5,1,3,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,7,5,3,1,6,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,6,5,4,7,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,2,4,8,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,2,5,3,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,6,3,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,5,3,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,5,3,2,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,2,4,8,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,6,4,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,2,5,6,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,6,5,2,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,7,2,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,6,5,1,8,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,2,5,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,4,5,6,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,6,5,1,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,9,8,7,6,5,4,3,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[1,8,7,6,5,3,2,4] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,8,7,6,3,4,5,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,7,6,5,2,3,4] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,10,9,8,7,6,5,4,3,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,2,8,6,5,4,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,2,8,5,4,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,8,5,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,2,5,6,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,5,4,3,1,7,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,6,4,1,3,7,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,6,1,5,3,7,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,1,8,5,2,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,2,8,6,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,3,5,4,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,8,3,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,6,3,4,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,8,5,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,8,5,2,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,2,6,4,8,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,7,4,2,6,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,1,7,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,8,4,1,7,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,4,7,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,3,4,5,1,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,2,5,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,2,1,5,4,7,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,1,5,8,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,8,4,3,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,4,8,1,3,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,6,5,8,2,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,4,6,8,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,4,5,8,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,4,1,5,2,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,4,2,6,8,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,6,4,1,7,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,4,5,2,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,1,8,4,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,2,5,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,2,1,5,3,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,5,8,7,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,4,5,1,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,8,1,2,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,2,3,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,1,3,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,8,6,2,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,5,7,8,6,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,8,4,7,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,1,8,4,7,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,4,6,1,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,2,8,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,4,7,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,3,6,1,5,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,3,6,8,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,7,3,8,5,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,6,1,5,7,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,5,4,3,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,3,4,2,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,3,7,4,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,3,2,4,1,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,4,7,1,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,6,7,8,2,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,3,2,5,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,5,6,2,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,5,6,1,7,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,2,8,6,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,8,7,2,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,8,6,4,5,2,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,3,6,2,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,1,7,5,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,1,8,7,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,6,5,8,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,4,2,7,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,4,7,1,8,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,7,8,2,5,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,4,5,6,7,3] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,1,6,8,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,7,6,1,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,6,1,8,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,4,1,7,6,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,6,5,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,3,5,6,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,7,5,8,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,7,5,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,8,5,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,4,8,7,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,4,8,7,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,8,5,6,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,2,6,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,8,2,5,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,8,2,3,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,7,8,4,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,2,4,8,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,3,4,8,5,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,7,4,8,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,1,5,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,4,2,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,4,8,3,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,4,8,3,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,4,8,3,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,5,2,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,6,2,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,8,5,3,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,8,5,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,8,6,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,6,8,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,8,6,5,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,7,3,4,8,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,7,6,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,1,7,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,1,4,8,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,4,5,8,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,2,7,6,3,8,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,6,4,5,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,7,5,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,7,4,8,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,7,8,4,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,7,4,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,4,1,7,8,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,6,1,3,8,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,1,5,8,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,5,4,8,7,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,4,7,8,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,4,8,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,4,8,7,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,4,8,7,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,8,5,4,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,2,8,5,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,3,8,6,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,8,5,6,4,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,8,6,4,5,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,8,6,5,4,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,8,5,4,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,5,4,8,3,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,4,8,6,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,4,8,3,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,1,4,8,2,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,3,1,8,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,3,1,8,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,5,1,8,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,5,4,1,8,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,1,7,8,4,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,2,8,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,7,8,6,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,7,8,5,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,1,7,8,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,2,8,6,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,2,8,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,6,8,5,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,8,6,7,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,8,7,5,4,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,8,7,4,5,6] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,8,5,7,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,6,8,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,2,8,7,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,2,8,7,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,4,5,9,6,7,8] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,9,5,6,7,8] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,9,4,5,6,7,8] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,9,3,4,5,6,7,8] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,5,6,7,10,8,9] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,3,4,5,9,7,6,8] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,5,6,10,7,8,9] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,3,4,9,6,5,7,8] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,5,10,6,7,8,9] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,3,9,5,4,6,7,8] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,10,5,6,7,8,9] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,8,3,4,2,5,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,9,4,3,5,6,7,8] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,10,4,5,6,7,8,9] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,8,4,3,2,5,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,9,3,2,4,5,6,7,8] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,10,3,4,5,6,7,8,9] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[8,4,7,6,5,3,2,1] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,5,7,4,6,3,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,5,7,3,6,4,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,1,7,4,6,5,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,2,7,3,6,5,4,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,5,7,2,6,4,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,4,7,1,6,5,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,3,7,1,6,5,4,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,2,7,1,6,5,4,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,1,7,6,5,3,4,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,3,7,6,5,2,4,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,4,7,6,5,2,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,5,7,6,4,2,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,6,7,5,4,1,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,3,7,6,5,1,4,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,8,1,4,2,5,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,2,5,3,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,5,4,7,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,7,6,8,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,4,3,7,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,3,7,4,8,1,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,6,3,7,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,5,2,6,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,7,1,5,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,7,1,3,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,3,2,6,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,8,1,4,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,8,2,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,8,2,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,8,2,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,8,4,7,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,8,3,7,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,7,1,5,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,4,2,8,5,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,4,3,7,2,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,4,3,5,1,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,5,4,8,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,5,8,2,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,2,5,1,8,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,8,2,4,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,8,4,7,2,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,8,4,1,7,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,4,1,5,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,4,7,5,8,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,7,8,4,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,8,3,7,2,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,3,5,7,2,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,2,4,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,6,2,5,7,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,3,5,6,2,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,5,8,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,8,7,2,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,7,2,6,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,4,2,3,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,2,3,1,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,3,8,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,8,5,3,7,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,8,5,7,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,8,5,3,1,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,4,8,2,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,5,1,7,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,2,4,1,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,3,6,7,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,3,7,2,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,8,2,1,4,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,7,1,8,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,5,7,8,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,3,6,8,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,8,6,3,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,6,7,2,8,4,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,4,7,6,9,8,1] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,6,7,8,9,2,1] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,3,2,1,10,9,8,7,6] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => [[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 5

[3,4,5,6,7,8,9,10,2,1] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,6,2,5,3,4,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,2,4,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,3,6,4,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,2,5,3,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,5,3,4,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,3,6,4,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,2,8,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,3,5,4,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,7,3,4,6,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,2,3,7,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,2,3,5,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,1,2,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,8,4,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,7,4,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,5,8,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,6,2,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,7,2,6,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,7,5,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,4,7,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,5,8,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,4,8,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,8,5,2,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,7,2,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,3,1,2,4,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,1,6,4,2,3,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,1,7,4,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,8,4,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,1,2,4,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,7,1,2,4,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,1,2,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,7,5,1,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,6,1,2,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,8,4,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,1,7,4,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,5,4,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,4,5,2,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,8,5,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,3,1,2,4,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,3,8,7,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,4,2,3,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,3,1,2,7,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,1,2,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,4,2,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,8,5,7,1,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,8,7,4,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,5,8,3,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,6,8,4,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,6,4,7,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,8,4,6,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,1,5,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,4,6,8,1,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,5,8,6,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,7,5,4,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,4,2,7,8,1,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,3,8,5,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,4,5,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,4,5,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,3,5,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,2,8,5,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,7,2,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,7,1,2,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,3,7,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,1,5,7,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,8,1,4,6,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,5,7,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,8,5,3,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,4,8,3,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,3,4,5,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,2,4,8,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,4,2,8,7,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,7,5,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,7,4,2,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,5,2,8,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,3,5,4,2,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,8,6,1,2,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,3,4,8,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,3,6,8,7,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,3,5,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,7,2,6,4,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,4,8,7,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,8,6,1,5,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,2,5,3,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,6,8,1,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,7,1,4,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,3,6,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,2,4,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,4,8,6,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,3,8,6,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,6,3,4,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,8,3,7,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,7,6,4,5,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,2,4,7,6,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,2,5,3,4,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,6,4,8,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,4,8,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,5,8,2,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,1,3,5,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,4,7,5,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,8,2,6,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,3,6,7,5,4,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,7,2,8,5,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,4,7,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,4,7,2,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,6,2,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,4,5,8,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,4,5,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,7,3,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,5,4,3,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,1,5,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,8,6,2,3,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,4,6,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,5,6,8,1,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,2,8,5,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,5,4,1,3,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,4,2,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,6,5,1,4,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,4,8,6,5,2,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,6,5,3,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,5,2,7,3,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,5,3,6,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,4,3,7,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,5,2,3,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,8,4,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,3,6,2,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,5,1,2,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,8,3,4,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,2,4,5,8,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,8,4,7,2,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,8,4,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,3,8,4,7,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,6,5,8,4,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,7,5,8,3,1,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,6,4,5,7,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,6,8,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,2,6,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,3,2,7,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,7,2,8,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,2,8,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,3,6,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,2,7,4,3,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,8,2,7,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,6,4,8,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,6,4,8,2,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,6,4,8,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,6,4,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,4,3,8,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,3,5,8,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,1,8,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,1,8,5,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,3,6,8,5,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,1,8,5,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,8,4,7,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,8,5,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,8,2,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,8,3,2,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,5,6,8,2,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,7,3,8,5,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,7,6,8,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,6,8,2,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,5,8,7,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,5,6,8,4,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,7,5,8,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,7,5,8,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,4,8,2,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,6,8,3,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,8,3,5,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,8,2,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,8,4,7,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,8,7,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,8,7,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,2,8,6,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,7,2,8,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,7,2,8,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,4,6,8,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,2,7,1,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,4,7,1,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,3,4,5,8,1,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,5,6,8,1,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,7,3,6,8,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,6,2,3,8,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,2,4,8,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,4,5,8,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,3,4,8,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,2,8,4,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,3,7,1,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,7,3,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,8,3,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,8,4,5,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,2,8,4,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,3,8,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,1,8,4,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,5,2,7,1,4,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,4,7,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,3,6,1,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,7,3,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,3,7,2,4,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,2,3,4,5,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,7,3,4,5,6,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,2,3,4,5,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,7,3,4,5,6,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,7,2,4,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,7,2,3,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,8,2,3,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,1,8,3,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,8,2,4,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,3,4,5,6,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,3,4,5,6,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,8,3,6,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,7,1,8,3,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,1,8,4,5,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,3,8,5,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,8,4,5,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,6,8,2,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,4,6,8,2,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,8,7,1,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,5,8,7,1,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,4,8,7,1,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,7,1,4,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,7,2,4,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,6,1,2,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,7,2,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,1,7,2,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,3,5,1,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,8,2,6,1,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,7,1,4,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,1,4,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,1,3,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,6,1,3,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,2,3,4,5,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,2,3,4,5,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,7,3,4,5,6,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,2,4,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,6,2,4,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,7,2,3,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,1,3,4,5,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,7,2,5,1,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,3,7,5,4,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,8,7,4,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,1,2,6,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,5,10,9,8,7,6] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,4,5,6,7,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,1,3,5,6,7,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,5,1,4,6,7,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,6,1,5,7,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,7,1,6,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,6,8,1,7,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,6,8,7,1,2,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,2,4,8,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,6,5,8,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,2,4,8,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,2,1,4,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,2,7,4,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,4,7,3,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,4,1,3,6,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,1,2,8,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,6,2,8,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,5,2,8,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,6,1,8,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,8,7,2,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,2,6,3,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,7,5,2,1,6,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,4,7,2,3,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,7,3,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,1,7,4,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,8,7,3,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,5,7,1,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,8,1,6,3,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,6,3,7,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,6,3,8,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,7,5,8,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,5,8,6,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,4,3,8,1,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,3,7,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,8,2,1,6,5,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,2,7,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,5,7,6,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,7,6,5,4,3] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,8,1,6,7,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,2,6,8,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,8,5,6,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,1,7,5,6,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,3,6,5,7,4,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,4,3,6,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,5,4,3,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,4,5,3,2,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,4,3,1,6,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,1,6,3,4,2,5,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,1,4,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,4,2,7,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,8,5,7,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,1,2,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,5,6,7,2,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,6,2,4,3,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,6,1,4,2,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,4,7,1,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[1,6,4,5,7,2,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,6,1,7,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,5,7,3,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,3,6,8,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,6,5,8,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,5,8,7,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,5,8,6,7,3,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,5,8,7,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,6,1,7,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,6,8,7,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,6,1,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,7,6,8,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,6,8,7,2,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,3,7,2,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,6,5,4,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,6,4,7,5,1,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,6,2,7,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,7,3,8,6,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,6,2,7,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,8,2,7,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,8,1,6,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,6,1,7,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,1,6,5,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,8,7,1,6,5,4,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,8,7,1,6,5,4,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,8,7,5,1,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,8,5,1,4,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,3,8,4,1,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,8,5,4,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,8,6,5,1,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,2,3,8,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,1,2,8,4,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,3,8,6,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,8,1,2,7,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,7,4,8,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,3,6,8,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,4,2,8,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,3,8,2,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,4,7,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,4,7,5,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,3,5,4,8,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,3,5,8,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,6,4,2,8,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,5,2,8,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,1,8,2,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,2,7,3,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,1,7,2,6,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,8,3,2,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,8,3,4,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,1,8,3,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,4,8,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,3,8,2,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,1,8,2,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,4,2,7,3,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,4,7,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,2,5,7,4,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,3,2,6,4,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,1,7,2,5,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,6,4,3,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,2,5,4,3,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,3,5,6,4,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,1,7,4,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,7,2,6,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,8,3,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,8,4,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,4,5,2,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,5,3,4,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,4,3,2,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,4,2,5,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,3,4,6,5,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,4,3,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,8,3,5,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,7,3,5,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,8,4,2,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,6,8,2,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,4,8,3,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,8,2,7,3,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,7,3,4,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,5,3,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,3,7,6,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,2,6,4,1,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,4,7,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,2,6,4,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,2,7,3,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,7,3,4,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,6,3,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,7,2,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,7,4,5,6,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,4,3,5,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,3,5,4,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,5,2,4,3,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,6,5,3,2,4,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,7,4,6,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,3,7,6,2,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,1,8,6,5,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,5,3,2,1,6] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,2,5,4,3,1,6] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,8,3,2,5,4,7,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,8,4,3,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,1,5,4,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,8,5,4,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,7,4,1,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,7,1,8,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,8,7,6,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,6,7,5,3,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,4,8,2,1,7,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,4,7,2,6,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,3,2,7,6,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,2,1,4,3,6,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,4,2,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,6,5,3,7,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,5,7,6,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,4,7,1,6,2,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,1,6,8,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,2,6,5,8,7,10,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,6,8,1,3,5,7,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,7,6,5,4,3,2,10,1,9] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,4,10,3,9,2,8,1,7] => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,5,4,3,2,8,10,1,7,9] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,7,2,6,10,1,5,9] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,2,6,8,10,1,5,7,9] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,7,3,8,4,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,2,7,3,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,2,8,3,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,2,8,4,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,2,4,3,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,7,2,5,3,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,2,8,3,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,2,8,3,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,2,7,3,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,2,4,3,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,6,2,4,3,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,2,4,3,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,8,2,5,3,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,6,2,5,3,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,2,7,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,2,7,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,2,8,3,5,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,2,5,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,2,4,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,2,4,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,2,4,3,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,2,4,3,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,2,5,3,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,2,8,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,2,6,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,7,5,4,6,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,2,7,4,3,5,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,4,7,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,2,6,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,8,1,5,2,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,8,3,2,4,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,5,4,3,6,2,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,5,4,3,7,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,4,2,5,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,8,2,1,3,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,8,2,3,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,7,4,2,6,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,3,2,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,4,3,7,1,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,7,3,8,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,8,5,7,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,3,8,2,7,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,4,3,8,7,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,6,3,8,5,4,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,8,2,1,7,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,8,5,1,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,8,5,1,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,6,3,1,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,6,1,5,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,8,3,6,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,7,8,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,3,2,8,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,7,8,5,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,4,2,7,8,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,1,5,2,6,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,2,1,6,7,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,1,6,7,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,1,2,5,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,2,1,3,5,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,7,1,8,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,3,6,1,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,3,1,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,3,1,7,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,7,1,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,2,7,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,4,7,8,6,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,3,7,2,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,7,8,1,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,7,6,8,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,2,1,8,7,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,8,2,1,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,4,3,2,1,7,6] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,6,5,4,3,2,1,9,7] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,5,4,3,2,1,9,8] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,5,4,1,8,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,5,8,4,1,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,8,4,5,9,2,3,6,10,1] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,8,1,3,2,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,4,1,5,2,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,1,5,2,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,6,1,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,6,1,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,4,6,7,8,1,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,6,2,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,6,7,1,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,4,5,1,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,6,7,1,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,3,2,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,2,5,4,1,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,4,2,1,6,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,5,2,4,1,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,5,2,1,4,3,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,6,7,5,2,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,1,6,2,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,1,6,5,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,1,5,6,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,2,5,1,6,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,5,4,1,3,2,8] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,3,4,1,5,2,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,7,2,5,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,6,2,8,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,7,2,6,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,4,7,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,1,7,4,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,5,8,7,2,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,4,5,8,1,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,1,6,8,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,5,6,8,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,5,6,8,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,4,6,8,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,4,6,5,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,8,6,1,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,8,1,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,6,5,8,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,4,6,8,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,1,4,7,2,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,7,5,6,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,7,6,5,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,4,6,7,8,5,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,2,6,8,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,2,6,8,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,2,6,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,2,7,4,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,2,4,7,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,1,4,7,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,4,2,7,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,2,4,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,2,6,8,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,2,6,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,6,5,8,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,4,6,1,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,4,6,1,8,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,7,1,5,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,7,5,1,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,6,7,1,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,5,6,8,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,4,6,8,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,6,5,8,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,5,8,6,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,5,8,1,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,5,8,1,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,5,8,6,2,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,5,8,2,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,4,5,8,2,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,5,8,2,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,5,8,6,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,6,5,8,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,4,6,8,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,5,6,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,6,1,8,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,5,8,1,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,5,8,2,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,5,8,2,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,1,7,5,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,2,6,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,2,8,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,4,2,7,5,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,4,7,3,6,5,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,4,6,1,7,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,7,1,8,3,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,3,6,1,5,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,2,1,7,3,5,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,6,3,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,3,5,8,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,3,1,5,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,3,1,4,8,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,8,3,6,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,6,3,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,7,3,5,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,3,1,4,8,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,6,4,5,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,5,7,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,3,6,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,3,1,5,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,5,1,6,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,7,5,6,1,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,8,5,1,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,8,3,5,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,8,3,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,3,5,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,5,6,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,5,7,4,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,3,6,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,3,5,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,4,1,7,5,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,7,5,1,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,6,1,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,7,3,5,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,8,3,5,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,3,1,5,6,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,5,1,6,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,4,1,7,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,3,1,7,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,1,8,5,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,5,1,6,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,7,3,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,7,8,3,5,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,8,3,5,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,3,6,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,6,7,4,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,7,4,5,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,6,8,4,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,3,7,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,3,6,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,5,1,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,8,5,6,1,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,8,4,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,3,7,2,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,1,5,7,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,8,4,7,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,8,2,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,8,3,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,7,8,3,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,4,8,6,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,4,7,6,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,2,5,4,6,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,1,2,3,7,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,4,3,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,3,7,6,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,8,7,4,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,2,8,4,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,3,8,5,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,5,3,6,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,3,8,5,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,7,8,6,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,8,4,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,2,7,3,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,3,2,4,5,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,2,8,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,8,6,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,7,2,4,5,6,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,3,5,6,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,8,7,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,2,6,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,3,2,4,5,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,4,3,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,1,7,2,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,7,4,6,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,4,7,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,2,7,4,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,3,8,6,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,5,3,6,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,3,7,5,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,7,5,4,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,8,6,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,7,6,4,5,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,7,6,5,1,4,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,1,6,3,2,5,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,3,1,5,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,3,6,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,6,5,3,2,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,1,6,5,3,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,4,3,5,2,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,3,5,2,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,2,4,6,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,3,4,5,2,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,7,4,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,1,4,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,2,4,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,7,1,5,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,4,1,5,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,7,1,5,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,8,6,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,6,1,2,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,7,4,3,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,2,7,4,3,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,2,3,7,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,5,3,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,6,1,3,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,1,6,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,8,6,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,2,6,4,8,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,3,5,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,3,8,6,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,3,2,7,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,5,2,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,7,6,5,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,6,7,8,5,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,3,6,2,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,3,2,8,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,3,6,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,1,4,8,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,4,2,8,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,3,8,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,7,8,1,2,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,8,1,4,5,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,8,1,5,4,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,8,5,1,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,4,8,2,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,2,6,8,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,8,4,6,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,8,4,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,8,2,1,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,2,4,6,3,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,2,3,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,2,8,3,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,8,2,5,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,8,3,6,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,7,4,8,5,3,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,4,8,3,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,5,8,4,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,6,3,7,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,6,3,8,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,8,3,4,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,6,2,7,5,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,6,7,2,4,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,6,8,4,3,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,8,4,1,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,7,8,4,1,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,8,2,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,6,2,8,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,6,8,5,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,8,2,4,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,8,4,2,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,8,1,4,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,8,1,4,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,8,2,1,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,8,1,4,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,7,8,3,1,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,8,3,1,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,3,8,1,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,3,8,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,3,8,1,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,6,3,8,2,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,2,5,4,8,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,2,3,8,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,3,2,8,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,3,8,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,7,3,8,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,8,3,1,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,8,3,1,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,8,2,3,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,6,2,8,3,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,6,8,4,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,2,8,1,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,8,2,1,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,8,1,3,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,8,1,3,5,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,8,1,3,5,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,8,1,5,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,8,1,5,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,8,1,2,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,8,2,1,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,7,2,8,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,7,8,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,7,8,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,8,2,1,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,8,1,2,5,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,8,1,5,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,8,1,5,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,8,1,5,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,6,7,8,9,1,2,10] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,4,5,6,7,8,1,3,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,4,5,6,7,8,2,9,3] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,4,5,6,7,8,9,10,2,3] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,2,7,1,5,3,8,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,6,1,5,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,7,5,1,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,3,5,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,1,5,8,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,1,3,5,8,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,4,7,1,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,8,2,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,8,2,6,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,6,2,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,2,1,5,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,6,5,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,3,5,1,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,5,1,8,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,7,5,8,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,1,6,8,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,5,6,1,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,8,5,1,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,8,2,1,5,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,1,3,5,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,3,5,7,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,3,6,1,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,3,5,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,2,5,6,1,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,2,6,1,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,8,1,5,3,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,2,7,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,2,7,1,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,1,2,6,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,7,4,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,7,8,5,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,8,4,1,5,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,8,4,1,5,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,8,5,6,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,5,1,6,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,4,5,1,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,4,5,6,1,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,3,7,6,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,3,7,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,4,8,1,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,3,8,5,1,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,3,5,8,1,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,2,3,6,1,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,8,1,3,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,1,2,3,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,4,1,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,5,1,2,4,8,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,1,3,2,8,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,1,3,4,2,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,3,4,5,1,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,3,1,5,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,8,4,1,2,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,4,1,6,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,4,2,1,7,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,5,1,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,1,8,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,1,8,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,1,4,8,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,6,4,1,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,5,4,1,6,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,5,6,4,1,7,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,1,8,3,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,1,8,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,7,6,2,8,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,6,2,1,3,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,1,2,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,3,1,4,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,5,3,2,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,4,2,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,5,7,8,1,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,1,6,5,2,4,3] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,2,5,6,8,1,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,4,2,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,6,1,8,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,6,5,7,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,3,4,7,5,1,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,7,4,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,8,5,1,6,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,4,7,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,6,1,7,3,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,2,1,5,4,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,5,1,7,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,7,1,3,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,8,7,4,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,8,4,5,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,3,8,4,7,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,3,1,7,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,7,4,6,1,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,8,6,4,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,8,6,7,4,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,1,8,6,5,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[4,6,7,2,5,8,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,5,3,8,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,1,3,4,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,4,2,8,3,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,1,8,7,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,3,8,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,2,8,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,1,7,8,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,1,7,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,2,1,8,6,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,6,8,1,5,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,8,3,1,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,2,5,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,8,1,5,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,7,4,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,5,7,4,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,6,8,5,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,8,7,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,8,3,7,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,2,4,1,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,1,7,5,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,6,5,4,8,1,3,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,4,8,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,2,5,1,7,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,8,1,5,3,6,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,2,6,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,6,2,1,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,8,3,7,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,8,3,6,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,5,3,6,7,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,6,4,1,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,4,1,6,3,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,3,5,7,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,4,5,6,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,8,3,5,1,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,9,6,7,4,5,2,3,1] => [2,2,2,2,1] => [[1,2],[3,4],[5,6],[7,8],[9]] => [[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[5,3,8,7,6,1,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,8,4,7,1,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,4,2,5,3,1,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,8,3,1,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,8,5,6,1,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,5,6,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,5,6,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,5,6,2,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,5,6,2,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,5,6,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,5,6,1,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,5,2,7,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,8,5,1,7,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,8,2,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,8,6,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,1,2,3,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,5,6,3,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,5,6,4,3,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,5,3,7,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,5,2,7,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,5,3,7,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,4,6,7,8,3] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,3,6,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,6,5,3,7,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,4,6,3,2,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,4,1,7,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,4,3,1,2,8,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,3,5,1,7,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,1,6,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,1,6,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,1,6,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,2,6,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,6,5,1,7,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,6,1,2,8,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,6,1,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,7,6,1,4,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,7,2,1,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,5,6,1,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,5,6,1,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,5,1,7,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,6,2,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,4,2,1,5,8,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,4,6,1,3,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,7,3,1,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,4,3,7,1,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,2,7,1,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,1,3,5,2,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,1,5,3,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,1,2,6,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,2,3,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,5,3,7,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,5,4,7,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,1,5,6,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,5,6,4,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,1,2,5,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,1,6,5,4,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,1,5,7,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,4,1,5,2,8,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,5,4,7,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,1,4,6,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,4,6,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,3,6,7,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,5,3,7,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,1,3,2,8,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,5,1,4,7,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,4,3,5,2,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,5,4,7,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,4,6,7,8,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,2,6,1,4,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,3,8,7,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,1,5,7,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,6,4,8,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,1,7,6,5,4,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,3,2,7,1,6,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,7,1,8,6,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,8,5,1,4,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,6,2,1,4,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,8,1,6,5,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[8,7,5,3,2,1,6,4] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,2,6,3,1,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,5,2,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,5,1,7,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,1,3,8,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,6,4,2,8,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,7,6,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,5,2,1,7,6,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,2,1,6,3,7,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,6,3,2,7,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,5,7,3,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,2,7,3,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,7,3,6,1,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,3,7,2,4,8,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,2,8,1,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,7,1,3,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,4,2,1,7,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,7,3,1,8,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,4,6,3,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,4,3,2,1,9,8,7] => [2,2,2,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9]] => [[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,3,2,1,9,8,7,6] => [2,2,2,2,1] => [[1,2],[3,4],[5,6],[7,8],[9]] => [[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[3,2,1,5,4,7,6,9,8] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,3,5,6,7,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,6,5,4,3,2,1,10,9,8] => [2,2,2,1,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,2,1,5,4,7,6,9,8,10] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,6,3,7,4,2,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,8,5,1,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,8,1,3,2,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,6,3,1,5,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[4,2,7,6,5,3,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,2,4,6,5,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,4,5,2,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,4,2,5,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,4,1,5,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,4,8,5,1,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,8,5,1,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,1,5,4,6,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,8,5,3,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,5,2,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,8,4,3,7,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,4,2,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,1,4,3,5,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,3,6,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,8,5,3,2,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,6,3,8,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,4,1,8,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,4,3,1,8,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,2,1,8,7,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,2,8,6,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,2,1,7,8,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,6,5,1,3,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,2,7,1,4,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,6,2,8,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,2,1,8,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,6,3,7,4,1,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,4,7,1,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,3,1,4,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,1,5,4,2,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,1,2,4,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,2,4,5,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,7,2,3,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,6,5,4,7,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,1,5,6,4,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,1,2,5,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,1,6,5,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,1,5,2,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,5,4,7,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,5,1,4,6,7,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,4,7,6,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,2,1,3,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,3,1,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,3,5,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,3,6,2,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,1,3,6,2,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,5,1,4,6,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,3,5,6,7,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,5,4,6,2,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,4,6,2,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,2,5,7,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,2,6,5,8,7,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,5,2,6,4,8,7,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,5,2,4,7,6,9,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,2,5,4,7,6,9,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,4,2,6,5,8,7,10,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,1,5,2,6,3,8,7,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,6,2,7,4,8,5,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,5,2,7,4,9,6,8,10] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,5,2,4,7,6,9,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,2,5,4,7,6,9,8,10] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,6,7,3,1,5,2,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,1,3,5,2,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,3,1,4,5,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,1,8,2,3,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,4,2,6,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,2,3,6,8,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,3,4,7,5,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,4,8,5,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,2,8,7,1,5,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,2,4,8,1,5,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,1,7,8,5,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,6,7,8,4,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,2,7,8,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,4,8,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,7,8,9,1,2,3] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,5,6,7,8,9,2,3,1] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,7,8,9,1,2,3,4] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,7,8,9,2,3,4,5,1] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,6,7,8,9,10,1,2,3] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,5,6,7,8,9,10,2,3,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,6,7,8,9,10,1,2,3,4] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[8,9,10,5,6,7,2,3,4,1] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[4,8,3,7,6,5,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,3,8,7,5,4,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,8,7,6,4,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,8,7,6,1,5,4,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,2,8,7,6,1,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,2,8,7,5,1,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,8,2,6,5,1,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,1,8,7,5,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,1,8,7,6,5,4,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,8,2,6,1,5,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,2,8,7,1,5,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,2,8,1,7,6,5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,2,7,6,1,5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,8,7,2,1,6,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,8,7,1,4,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,1,7,6,5,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,1,8,7,6,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,8,1,7,5,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,8,4,1,6,5,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,8,3,1,6,5,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,3,8,1,7,5,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,1,8,7,6,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,8,2,1,6,5,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,3,1,8,7,4,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,4,3,1,8,7,5,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,5,2,1,8,6,4,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[5,4,2,1,8,7,6,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,3,2,1,8,6,5,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,3,2,1,8,7,5,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[9,7,5,3,1,10,8,6,4,2] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => [[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 5

[6,1,4,2,3,5,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,4,2,3,5,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,4,2,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,2,3,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,2,3,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,3,6,1,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,3,8,1,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,3,8,1,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,3,6,1,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,3,6,4,1,5,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,6,2,1,5,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,3,8,4,1,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,2,3,6,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,3,8,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,3,8,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,3,6,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,8,4,1,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,8,4,2,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,8,1,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,3,6,1,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,6,4,2,1,5,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,3,6,4,1,5,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,2,4,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,2,1,4,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,3,8,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,1,3,6,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,8,2,4,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,3,8,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,7,8,5,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,8,5,3,7,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,2,4,8,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,3,1,6,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,7,4,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,8,7,5,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,5,4,7,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,4,5,8,6,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,7,8,5,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,3,7,8,1,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,7,1,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,2,4,5,1,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,2,6,3,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,3,8,7,1,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,7,4,3,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,5,2,8,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,7,2,8,3,9,4,10,5] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[6,1,7,8,9,10,2,3,4,5] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,1,8,2,9,3,10,4,11,5,12,6] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,8,1,7,5,6,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,5,7,3,6,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,6,7,5,3,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,6,7,5,3,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,8,7,2,6,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,8,6,2,3,7,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,1,3,5,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,8,2,5,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,6,1,3,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,6,5,8,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,3,5,8,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,3,8,5,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,3,5,8,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,3,5,8,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,3,5,8,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,3,5,8,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,3,5,8,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,3,5,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,3,6,5,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,6,3,5,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,8,3,5,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,3,8,5,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,3,8,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,3,8,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,3,6,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,3,6,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,3,6,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,6,3,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,4,3,5,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,4,3,5,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,4,1,3,5,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,6,1,3,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,6,1,3,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,6,3,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,6,3,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,6,3,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,8,3,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,8,3,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,1,3,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,8,1,3,5,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,1,3,5,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,8,1,3,5,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,8,1,3,5,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,8,3,5,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,8,3,5,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,3,8,5,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,3,8,5,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,8,3,5,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,8,3,5,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,6,8,5,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,6,8,5,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,8,6,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,3,6,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,4,3,5,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,4,3,5,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,4,3,5,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,6,3,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,3,6,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,3,6,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,6,3,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,6,3,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,6,3,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,1,3,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,1,3,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,1,3,5,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,1,3,5,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,1,3,5,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,1,4,3,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,4,3,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,4,3,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,4,3,5,7,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,6,4,3,5,7,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,1,4,3,5,7,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,4,1,3,5,7,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,2,1,3,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,1,3,5,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,6,5,2,1,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,4,1,8,6,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,2,8,3,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,2,7,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,4,6,3,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,4,6,3,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,4,5,8,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,4,6,8,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,1,7,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,1,7,8,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,1,8,7,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,8,4,6,7,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,4,5,7,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,4,5,6,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,4,5,3,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,4,5,3,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,5,4,6,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,5,4,6,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,5,4,6,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,4,5,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,4,6,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,2,7,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,2,8,3,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,2,8,3,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,2,8,3,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,4,6,3,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,5,4,6,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,5,4,2,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,5,4,8,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,3,1,4,2,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,8,1,4,2,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,1,4,2,8,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,5,4,7,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,2,7,6,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,2,6,8,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,3,1,4,7,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,2,8,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,4,7,3,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,4,5,3,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,5,4,7,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,5,4,8,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,5,4,7,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,1,4,2,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,3,1,4,2,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,3,1,4,6,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,4,2,6,5,1,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,5,8,7,3,4,2,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,8,3,1,4,6,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,1,4,5,2,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,5,4,2,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,5,4,2,7,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,4,7,3,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,2,7,5,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,7,2,8,5,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,1,4,8,5,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,3,1,4,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,5,4,8,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,2,8,5,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,2,5,8,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,5,4,2,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,1,4,5,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,8,1,4,5,2,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,8,1,4,5,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,3,1,4,5,2,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,1,5,4,2,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,4,3,2,1,6] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[9,7,6,5,4,3,2,1,8] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[10,9,8,7,6,5,4,2,1,3] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[10,9,8,7,6,4,3,2,1,5] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,7,3,6,5,2,1,4] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[10,9,8,6,5,4,3,2,1,7] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,5,8,4,3,2,1,7] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,4,7,6,3,2,1,5] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,8,7,4,3,2,1,6] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[10,8,7,6,5,4,3,2,1,9] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[5,8,6,2,3,4,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,7,3,1,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,6,3,5,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,2,5,8,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,5,8,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,6,8,5,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,1,8,6,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,8,1,7,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,4,2,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,8,3,1,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,6,2,5,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,8,7,6,1,5,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,3,8,5,2,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,4,2,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,3,8,2,1,6] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,7,8,4,1,2,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,4,6,3,5,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,8,7,3,1,4,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[2,3,8,4,1,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,4,7,3,2,5,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,3,4,7,2,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,6,1,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,5,1,3,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,8,3,1,4,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,4,1,8,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,4,8,1,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,6,3,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,6,2,1,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,8,1,5,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,1,4,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,1,4,7,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,1,6,8,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,1,8,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,8,1,4,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,6,3,2,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,7,6,3,2,4,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,8,6,2,3,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,1,8,5,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,1,7,2,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,7,6,1,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,8,4,1,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,5,2,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,5,2,7,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,8,4,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,4,8,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,4,6,8,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,4,7,1,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,4,7,1,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,5,6,8,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,6,8,5,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,8,6,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,3,6,2,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,8,6,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,6,8,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,4,7,2,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,5,4,6,8,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,4,8,5,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,4,5,2,6,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,8,5,3,1,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,8,4,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,4,6,5,8,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,7,5,1,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,7,5,1,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,7,1,6,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,7,1,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,6,1,8,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,8,4,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,8,5,3,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,4,5,2,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,8,5,3,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,8,4,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,4,6,8,3,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,4,6,3,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,4,6,3,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,4,6,7,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,3,4,5,7,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,4,6,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,7,8,3,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,2,7,8,3,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,6,8,3,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,4,6,3,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,4,5,3,2,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,3,5,4,6,2,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,2,4,3,5,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,2,4,3,5,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,2,4,3,5,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,2,4,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,6,3,4,5,7,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,3,4,5,2,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,5,4,3,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,4,5,3,6,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,2,4,7,3,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,3,2,4,7,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,3,4,5,2,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,3,4,5,2,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,5,4,3,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,8,7,5,2,6,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,8,6,1,5,4,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,2,4,3,5,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,6,4,2,5,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,8,7,2,5,4,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,2,4,5,6,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,6,2,4,8,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,8,6,1,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,5,1,4,8,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,6,2,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,1,8,6,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,6,1,8,2,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,1,8,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,6,1,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,6,3,4,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,6,4,7,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,6,4,8,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,3,5,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,6,3,1,4,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,1,3,8,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,8,3,4,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,5,4,1,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,6,1,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,2,5,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,3,5,8,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,8,1,3,6,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,3,5,7,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,3,5,8,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,4,7,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,3,7,1,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,3,8,1,4,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,4,8,1,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,4,7,1,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,1,8,5,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,5,1,3,4,2,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,1,7,6,3,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,7,6,1,8,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,6,7,1,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,4,7,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,5,1,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,1,6,5,2,7,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,8,3,4,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,3,1,7,2,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,5,6,1,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,4,2,5,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,5,3,8,4,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,4,7,2,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,1,5,7,4,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,6,4,7,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,6,4,8,1,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,4,7,1,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,3,5,7,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,2,5,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,7,4,2,8,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,6,4,8,2,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,7,3,4,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,8,1,6,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,1,6,5,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,7,4,2,8,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,6,5,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,8,5,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,7,1,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,1,6,5,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,3,7,8,5,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,4,2,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,8,1,5,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,5,7,1,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,8,1,5,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,2,4,7,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,7,1,6,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,6,7,1,5,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,6,8,1,5,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,8,1,6,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,6,8,1,5,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,7,1,4,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,7,5,1,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,8,7,1,4,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,7,1,5,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,5,1,4,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,6,5,1,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,7,5,4,2,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,5,2,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,7,1,5,3,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,1,5,4,2,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,3,8,4,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,3,6,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,3,1,5,4,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,1,5,8,4,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,2,1,5,3,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,1,7,5,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,2,8,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,8,1,5,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,1,8,5,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,2,1,4,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,6,1,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,7,1,4,5,6,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,4,7,6,8,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,5,7,1,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,2,3,1,5,6,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,5,4,6,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,8,1,4,5,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,5,6,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,8,5,1,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,8,7,5,1,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,7,6,1,4,5,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,6,5,1,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,3,1,6,5,8,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,2,4,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,2,1,8,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,2,1,4,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,2,8,4,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,5,8,3,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,5,1,3,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,5,1,8,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,5,2,8,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,5,2,8,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,5,1,2,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,5,8,2,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,2,6,3,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,4,5,2,1,6,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,7,1,8,4,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,4,1,6,3,2,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,8,6,3,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,8,6,3,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,5,6,7,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,5,6,7,2,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,5,6,7,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,5,6,7,2,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,4,3,6,1,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,4,1,7,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,4,6,7,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,3,6,7,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,2,1,7,5,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,2,6,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,5,6,7,4,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,5,6,7,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,2,5,6,7,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,1,5,6,7,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,5,6,7,4,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,3,6,2,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,3,6,2,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,1,8,5,7,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,6,8,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,8,2,7,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,8,2,7,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,8,6,2,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,1,4,8,6,2,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,4,1,6,2,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,5,8,1,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,5,8,2,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,6,1,8,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,5,8,3,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,5,3,6,7,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,2,1,7,4,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,5,6,7,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,5,6,7,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,5,6,7,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,5,6,7,3,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,5,6,7,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,8,6,7,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,8,6,7,3,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,8,1,7,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,4,8,6,1,2,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,5,6,7,2,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,5,6,7,1,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,7,2,5,6,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,1,4,5,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,5,6,2,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,5,6,8,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,2,3,5,7,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,6,2,8,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,2,3,8,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,2,8,3,1,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,1,4,5,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,4,5,1,6,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,4,1,7,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,6,2,3,1,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,3,1,2,4,5,6,7,8,9] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,10,1,2,3,4,6,7,8,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[10,7,1,2,3,4,5,6,8,9] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,10,1,2,3,4,5,6,7,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,10,1,4,5,6,7,8,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,3,1,10,2,5,6,7,8,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,9,1,2,3,4,5,6,10,7] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,3,5,4,1,8,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,7,3,1,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,6,3,7,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,6,3,7,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,3,7,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,8,3,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,6,3,8,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,5,2,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,5,2,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,7,3,6,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,6,8,4,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,1,7,4,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,6,2,4,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,3,5,8,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,8,3,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,5,4,7,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,5,8,7,1,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,5,1,8,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,5,2,1,3,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,2,4,1,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,1,4,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,6,8,4,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,8,1,4,6,3,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,6,7,5,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,8,4,7,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,8,6,1,7,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,1,4,2,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,5,2,1,6,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,6,2,5,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,3,6,7,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,5,7,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,1,4,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,7,1,5,4,6,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,3,6,8,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,6,5,8,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,4,1,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,7,3,6,4,5,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,8,4,3,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,7,3,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,2,3,5,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,8,5,7,6] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,7,5,6,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,3,8,4,7,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,7,3,6,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,8,5,2,7,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,3,4,5,7,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,6,1,4,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,7,8,2,5,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,8,5,1,6,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,2,3,4,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,5,2,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,5,3,8,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,8,7,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,6,8,2,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,7,1,2,8,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,4,1,2,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,2,3,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,2,3,4,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,4,1,2,5,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,3,7,2,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,2,5,3,1,7,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,3,4,5,1,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,5,7,2,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,2,5,6,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,8,2,7,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,8,1,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,8,1,4,7,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,2,5,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,3,1,5,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,3,1,4,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,1,3,2,4,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,3,2,6,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,1,5,2,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,1,2,6,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,3,5,6,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,2,4,3,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,2,5,3,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,7,5,3,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,3,2,8,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,5,3,8,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,7,2,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,2,6,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,7,6,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,8,2,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,6,2,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,8,2,6,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,3,2,5,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,3,5,7,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,8,3,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,4,2,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,2,3,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,7,3,8,2,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,6,7,5,8,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,5,2,1,8,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,8,7,5,2,1,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,2,8,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,8,3,1,7,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,8,3,2,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,1,8,6,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,8,2,1,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,5,6,1,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,8,6,4,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,7,3,8,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,2,5,3,8,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,8,5,6,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,6,8,3,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,8,4,1,3,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,8,3,4,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,1,6,3,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,6,8,3,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,3,8,2,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,7,8,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,1,7,8,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,1,7,8,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,5,4,8,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,8,1,4,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,8,4,6,1,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,7,3,8,6,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,7,8,5,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,7,8,4,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,6,7,8,4,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,7,3,8,5,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,1,8,4,5,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,4,8,1,5,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,4,7,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,6,7,8,1,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,6,7,8,4,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,3,2,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,1,3,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,7,3,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,2,7,1,8,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,3,7,8,1,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,3,7,8,5,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,8,2,4,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,7,4,1,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,2,1,4,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,3,4,2,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,4,1,8,3,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,4,8,6,1,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,8,6,2,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,2,1,8,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,3,2,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,8,2,5,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,4,8,5,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,7,1,8,5,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,7,1,8,5,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,8,5,2,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,8,5,2,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,7,8,1,6,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,1,8,2,5,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,7,8,2,5,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,1,7,8,4,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,2,7,8,4,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,1,8,5,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,8,5,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,4,8,5,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,5,3,6,2,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,3,4,7,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,4,6,3,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,7,1,4,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,5,3,7,1,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,8,6,7,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,8,1,3,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,4,8,3,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,5,8,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,3,4,8,1,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,4,7,1,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,4,8,1,6,2,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,3,7,1,6,2,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,3,8,5,1,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,7,3,8,1,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,4,2,8,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,2,8,6,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,7,8,6,2,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,6,8,2,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,5,7,8,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,5,6,8,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,7,3,8,5,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,6,8,1,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,5,2,3,8,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,5,3,8,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,7,5,2,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,6,2,7,4,5,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,2,5,3,8,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,2,3,8,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,7,4,5,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,7,2,4,5,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,4,5,8,7,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,8,7,5,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,4,6,7,5,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,6,5,8,7,3,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,6,8,7,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,7,2,5,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,8,7,5,2,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,6,8,2,7,5,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,8,2,7,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,6,4,7,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,4,2,5,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[9,2,4,6,8,1,3,5,7] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,4,6,8,1,2,3,5,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,6,8,1,2,3,4,5,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,7,9,1,2,4,6,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,7,9,1,2,3,4,6,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,9,1,2,3,4,5,6,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,9,8,7,6,5,2,4,1,3] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[10,9,4,8,3,7,2,6,1,5] => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[10,9,8,7,2,4,6,1,3,5] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,10,5,9,2,4,8,1,3,7] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[10,9,2,4,6,8,1,3,5,7] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,3,5,7,9,1,2,4,6,8] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,5,7,9,1,2,3,4,6,8] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,7,9,1,2,3,4,5,6,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,2,5,6,3,8,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,7,4,8,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,2,1,4,7,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,2,5,8,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,4,8,1,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,4,7,8,5,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,1,8,3,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,2,6,3,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,3,5,8,4,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,1,7,8,4,5,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,7,4,1,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,2,5,8,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,5,2,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,2,7,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,8,5,7,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,7,2,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,1,5,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,1,6,2,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,6,7,3,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,3,4,5,7,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,5,4,1,2,8,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,8,3,4,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,1,6,5,7,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,8,2,5,3,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,7,6,1,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,4,6,7,3,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,7,4,8,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,8,4,3,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,5,4,3,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,4,8,5,3,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,1,8,4,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,8,5,4,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,3,8,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,1,6,3,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,7,4,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,2,4,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,7,6,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,8,7,1,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,8,5,7,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,2,8,5,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,2,5,1,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,7,5,8,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,8,6,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,5,1,8,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,1,4,6,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,8,3,1,2,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,8,2,1,3,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,8,2,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,2,8,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,8,1,3,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,8,4,7,1,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,8,3,1,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,5,8,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,1,3,8,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,3,8,1,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,4,8,7,1,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,2,3,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,3,2,8,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,1,2,8,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,4,8,7,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,1,8,7,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,8,2,1,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,8,3,7,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,2,8,7,1,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,4,2,8,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,2,1,4,8,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,5,8,1,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,3,4,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,3,4,8,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,2,5,4,1,3,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,4,2,8,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,5,3,8,2,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,1,6,3,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,5,6,2,4,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,1,3,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,3,4,6,5,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,3,7,8,4,5,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,8,2,6,3,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,6,5,8,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,6,7,3,4,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,2,1,4,5,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,7,6,2,1,3,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,8,4,7,2,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,7,6,4,2,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,1,7,8,6,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,2,7,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,8,5,3,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,4,7,1,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,8,5,1,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,6,5,2,1,7,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,7,4,2,5,6,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,5,7,2,1,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,8,2,6,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,6,3,7,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,3,4,1,5,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,6,2,8,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,5,7,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,6,7,1,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,7,6,3,1,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,3,1,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,7,3,8,4,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,1,8,5,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,8,7,5,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,7,1,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,7,5,8,6,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,4,3,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,5,8,3,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,1,4,8,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,5,1,4,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,3,8,4,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,8,3,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,6,1,3,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,2,4,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,3,2,5,7,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,8,2,5,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,2,5,8,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,7,8,5,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,3,8,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,2,1,6,4,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,1,3,4,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,8,3,2,1,5,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,8,5,4,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,2,5,4,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,3,8,7,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,6,5,3,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,8,5,4,1,3,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,6,5,4,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,8,7,3,2,6,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,8,3,7,2,5,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,3,6,2,1,8,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,7,1,8,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,5,1,4,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,7,6,2,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,8,1,5,7,4,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,7,3,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,8,3,7,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,6,7,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,3,1,6,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,3,6,4,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,6,1,3,8,7,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,1,7,4,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,6,4,2,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,7,5,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,2,7,5,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,6,2,5,8,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,5,8,7,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,3,6,7,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,6,3,8,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,4,8,7,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,4,6,1,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,2,8,1,4,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,8,7,5,1,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,3,8,2,6,5,1,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,4,8,7,2,5,1,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[2,5,4,8,1,7,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,1,7,6,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,3,8,7,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,8,7,5,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,2,8,7,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,8,1,6,4,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[2,7,6,8,1,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,5,1,6,2,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,6,1,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,8,3,6,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,1,6,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,5,4,3,7,2,1,6] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,4,8,3,2,7,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,3,1,4,8,2,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,4,6,8,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,1,3,8,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,2,7,6,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,6,8,3,1,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,4,5,7,2,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,4,5,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,4,2,8,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,8,6,2,1,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,3,5,4,1,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,8,4,1,2,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,3,2,7,1,5,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[3,7,1,2,4,6,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,3,5,6,8,4] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,6,5,2,8,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,6,5,1,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,8,6,7,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,8,7,3,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,1,6,8,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,7,4,5,3,1,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,7,4,3,5,1,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,1,4,2,6,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,3,6,1,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,4,5,6,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,4,1,6,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,5,4,6,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,5,6,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,5,6,1,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,7,5,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,1,4,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,1,2,4,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,7,5,3,4,1,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,7,6,4,1,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,3,7,6,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,5,2,8,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,3,7,5,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,2,5,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,6,2,3,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,2,4,6,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,1,2,6,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,7,3,6,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,7,5,2,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,6,2,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,6,1,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,6,4,3,1,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,3,1,4,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,3,4,8,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,3,4,1,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,1,3,8,4,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,3,4,8,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,2,7,8,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,6,7,1,4,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,6,5,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,6,5,4,2,3,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,7,2,3,5,4,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,2,5,3,4,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,5,1,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,1,8,2,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,8,3,5,6,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,8,2,5,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,5,2,8,1,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,5,8,6,2,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,6,4,2,8,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,1,2,8,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,7,8,6,2,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,3,6,8,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,6,8,2,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,6,8,4,2,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,6,8,4,2,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,8,2,3,6,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,8,4,7,3,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,7,8,5,2,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,8,5,1,2,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,8,1,2,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,3,8,2,6,5,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,6,8,3,2,5,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,7,1,3,5,4,6,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,8,3,4,2,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,8,3,1,4,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,4,8,2,5,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,5,2,1,3,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,6,3,1,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,3,7,4,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,3,4,6,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,2,4,5,3,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,6,2,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,6,3,5,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,6,3,5,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,5,4,3,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,5,4,3,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,5,4,2,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,3,4,2,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,6,2,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,5,3,2,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,3,5,2,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,4,5,3,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,4,5,3,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,3,1,5,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,1,5,4,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,4,5,2,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,5,4,2,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,6,2,5,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,6,2,5,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,4,5,2,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,1,5,4,7,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,1,5,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,4,1,6,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,4,1,5,2,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,1,5,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,1,5,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,1,3,7,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,1,3,7,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,1,3,7,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,2,4,5,3,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,2,8,3,5,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,2,5,4,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,1,3,7,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,1,3,7,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,1,5,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,3,5,2,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,5,3,2,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,4,2,6,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,6,2,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,1,2,7,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,3,1,6,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,1,2,7,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,1,5,2,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,7,5,4,1,3,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,5,2,3,4,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,2,7,1,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,2,7,8,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,1,5,3,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,4,1,3,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,4,5,3,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,7,5,3,8,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,7,5,3,1,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,2,7,1,6,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,6,1,5,3,8,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,2,4,7,8,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,1,7,8,5,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,6,7,1,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,6,7,2,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,4,1,2,7,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,1,7,2,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,3,2,6,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,1,7,2,6,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,5,7,2,6,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,2,5,6,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,2,5,1,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,2,1,6,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,5,2,6,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,8,5,1,6,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,7,8,1,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,8,5,6,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,2,1,5,6,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,7,1,5,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,8,5,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,6,2,1,8,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,2,1,6,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,1,3,5,8,6,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,3,4,6,8,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,3,6,8,2,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,4,8,1,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,8,5,1,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,1,2,6,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,6,3,4,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,6,3,4,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,1,5,3,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,8,3,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,8,7,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,1,3,4,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,8,3,1,2,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,8,3,5,2,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,8,3,5,2,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,6,1,3,5,2,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,3,5,6,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,3,5,1,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,1,2,6,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,4,3,6,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,3,1,6,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,3,5,1,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,2,3,5,6,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,5,1,4,3,7,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,6,5,4,1,3,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,6,3,8,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,5,7,6,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,6,5,1,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,3,4,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,5,2,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,3,5,1,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,5,1,8,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,2,5,3,4,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,5,1,8,3,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,2,8,3,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,3,5,1,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,6,5,8,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,8,7,6,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,6,8,5,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,1,3,5,7,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,7,5,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,1,6,7,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,5,1,6,7,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,6,1,3,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,2,8,1,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,8,6,7,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,8,6,7,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,8,6,7,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,4,6,7,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,8,6,7,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,8,6,7,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,5,3,8,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,2,8,1,4,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,3,5,2,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,2,5,3,1,4] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,7,6,8,3,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,8,1,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,2,8,5,1,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,1,3,7,5,2,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,8,7,5,1,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,1,4,2,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,8,5,7,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,6,8,5,1,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,4,8,7,5,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,8,2,6,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,2,4,1,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,2,6,7,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,1,6,7,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,8,4,6,7,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,4,6,7,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,2,6,7,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,8,1,6,7,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,1,6,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,2,6,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,7,2,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,3,6,4,2,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,8,5,7,4,1,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,1,6,7,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,1,4,6,7,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,3,4,6,7,1,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,3,8,4,1,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,3,2,8,5,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,8,4,6,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,6,5,3,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,5,3,1,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,2,5,4,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,8,3,2,6,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,8,2,4,6,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,8,2,3,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,6,4,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,6,2,5,3,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,3,2,8,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,2,8,4,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,4,3,1,2,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,3,5,1,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,6,4,1,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,7,3,8,5,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,4,3,8,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,3,8,2,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,2,8,7,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,2,7,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,3,7,2,6,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,4,8,3,7,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,8,5,4,7,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,7,8,2,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,6,7,2,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,6,1,3,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,1,2,5,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,1,5,2,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,8,3,2,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,6,1,2,5,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,1,3,2,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,8,2,1,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,2,5,1,3,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,6,2,1,5,3,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,3,8,5,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,6,8,4,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,3,8,1,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,5,8,1,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,8,5,1,6,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,6,1,7,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,2,1,7,5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,2,1,5,8,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,1,8,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,8,7,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,1,2,8,4,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,1,3,2,8,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,2,5,8,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,4,1,2,7,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,1,2,6,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,1,6,3,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,1,7,3,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,8,2,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,7,6,2,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,1,8,7,3,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,8,7,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,8,3,7,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,2,8,6,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,4,1,7,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,1,5,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,1,7,5,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,1,5,8,6,4,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,8,7,3,6,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,8,7,6,2,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,8,7,6,5,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,5,2,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,5,2,3,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,5,2,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,5,2,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,4,2,5,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,4,2,5,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,7,3,4,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,7,3,4,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,4,2,6,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,8,4,7,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,8,5,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,5,2,6,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,7,3,5,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,6,2,5,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,6,2,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,6,2,3,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,6,2,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,6,2,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,8,5,6,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,8,5,6,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,8,4,6,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,8,4,5,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,10,3,4,5,6,7,8,1,2] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,6,4,7,2,1,3,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,7,2,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,3,5,8,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,6,2,3,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,2,3,6,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,5,2,3,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,2,4,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,2,3,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,3,4,8,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,4,8,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,4,1,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,3,4,1,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,3,7,2,1,4,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,6,3,7,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,7,4,8,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,3,5,8,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,6,4,8,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,7,2,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,8,2,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,3,8,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,7,8,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,8,6,1,2,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,7,5,1,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,1,2,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,6,1,2,3,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,8,2,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,8,4,1,2,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,4,1,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,4,8,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,4,8,2,1,3,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,3,8,1,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,5,1,6,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,2,3,1,7,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,1,2,7,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,8,6,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,3,8,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,1,3,6,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,8,2,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,7,2,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,7,2,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,8,2,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,3,8,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,8,1,5,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,8,6,2,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,8,2,7,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,7,2,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,7,2,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,7,6,4,5,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,8,7,3,6,5,4,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,4,2,7,5,8,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,7,5,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,4,6,5,8,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,6,3,8,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,6,5,3,2,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,7,5,3,8,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,1,6,8,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,7,8,6,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,2,7,5,3,1,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,2,5,6,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,3,5,1,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,2,6,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,1,2,6,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,7,3,6,2,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,7,5,1,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,4,1,5,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,2,1,6,4,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,3,6,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,3,8,5,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,5,8,6,1,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,8,4,1,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,8,4,1,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,5,3,7,2,4,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,5,4,3,8,2,6,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,5,3,8,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,3,8,2,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,7,3,4,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,8,3,4,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,8,3,4,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,8,4,6,2,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,8,3,6,2,5,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,8,3,5,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,8,3,7,2,6,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,8,4,7,2,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,6,3,8,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,6,2,4,7,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,5,8,6,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,5,8,7,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,7,5,8,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,1,4,8,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,8,5,4,6,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,1,8,4,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,6,7,8,5,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,1,8,7,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,1,8,3,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,6,8,3,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,7,8,6,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,8,6,4,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,8,6,4,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,8,4,6,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,8,4,6,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,8,4,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,8,7,4,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,1,8,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,7,8,3,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,8,4,5,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,2,8,6,3,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,6,2,5,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,3,8,6,2,4,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,5,2,4,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,4,5,6,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,2,4,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,8,2,4,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,3,8,2,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,2,4,6,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,2,7,5,1,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[5,6,3,7,8,2,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,2,5,8,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,8,2,4,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,7,8,2,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,2,1,5,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,8,6,4,2,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,6,3,4,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,3,4,2,1,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,2,1,5,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,2,1,3,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,1,7,8,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,8,5,4,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,4,1,6,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,8,5,4,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,3,5,4,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,6,4,2,1,3,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,1,5,7,8,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,8,6,3,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,8,5,7,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,1,8,4,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,5,6,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,8,5,6,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,2,1,5,6,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,3,8,4,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,4,2,1,8,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,5,6,4,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,5,6,4,2,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,2,1,8,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,4,2,1,5,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,8,6,4,2,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,3,7,6,2,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,6,2,4,1,8,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,1,7,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,3,8,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,7,8,6,4,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,4,3,7,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,2,1,3,7,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,8,4,2,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,2,1,6,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,6,2,3,8,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,8,4,3,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,7,5,8,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,3,7,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,6,2,1,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,5,7,6,2,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,6,2,1,3,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,1,8,4,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,5,8,4,3,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,4,3,6,1,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,8,3,2,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,4,3,2,8,1,9] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,4,3,7,5,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,7,2,5,4,1,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,6,3,1,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,7,4,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,3,4,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,5,2,3,1,7,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,3,4,2,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,3,2,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,2,1,4,6,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,5,2,1,4,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,2,3,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,2,3,1,7,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,6,3,1,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,6,4,1,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,7,5,4,8,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,7,5,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,3,4,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,6,3,2,5,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,4,3,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,8,2,4,5,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,3,2,6,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,7,1,5,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,7,1,5,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,2,1,4,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,1,3,4,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,6,1,3,4,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,2,4,5,6,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,7,1,3,4,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,1,3,4,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,2,3,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,3,2,5,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,8,2,6,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,2,7,1,5,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,8,1,5,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,8,3,1,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,2,3,8,1,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,3,1,6,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,2,1,3,6,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,1,3,6,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,2,4,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,1,3,2,6,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,3,4,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,1,5,3,8,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,1,3,6,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,3,2,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,2,4,5,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,2,4,5,7,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,3,5,6,7,4] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,1,2,4,5,6,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,2,4,5,6,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,3,2,6,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,1,3,6,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,2,5,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,4,3,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,8,1,2,3,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,6,3,2,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,2,7,6,1,5] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[4,3,8,2,7,1,6,5] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[4,1,8,7,3,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,1,2,5,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,8,4,2,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,4,8,6,1,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,4,7,2,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,5,8,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,5,2,7,3,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,8,5,6,3,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,6,7,8,5,1,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,3,1,4,2,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,3,8,7,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,8,7,4,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,6,4,8,2,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,4,1,6,3,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,3,8,7,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,6,1,3,8,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,1,4,3,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,5,7,4,6,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,4,7,2,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,4,7,8,2,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,7,4,8,2,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,7,4,8,6,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,7,8,4,2,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,2,7,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,6,2,8,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,2,5,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,5,2,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,7,4,3,8,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,7,8,1,5,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,7,8,4,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,4,8,3,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,6,8,4,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,7,2,8,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,3,8,6,2,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,8,2,4,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,8,3,1,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,8,1,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,6,8,1,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,4,8,3,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,7,2,4,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,7,3,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,4,6,2,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,8,7,2,3,1,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,6,8,2,3,1,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,8,2,3,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,7,2,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,7,8,4,1,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,8,2,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,4,1,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,8,6,2,3,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,4,2,3,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,6,4,2,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,5,2,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,6,1,5,8,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,5,1,8,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,5,1,8,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,1,5,8,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,5,3,8,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,5,3,8,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,3,1,8,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,1,8,7,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,8,1,7,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,8,1,3,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,8,3,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,3,8,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,5,8,3,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,5,8,3,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,5,8,3,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,5,8,7,3,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,3,8,7,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,8,7,1,5,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,4,8,3,7,1,5,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[2,6,8,5,3,7,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,1,5,7,3,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,8,5,7,3,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,8,5,7,3,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,8,5,7,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,8,5,3,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,8,5,3,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,5,3,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,5,1,7,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,8,3,5,1,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,8,3,1,5,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,1,8,5,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,8,1,5,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,8,5,7,1,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,8,1,5,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,1,8,5,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,6,8,5,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,6,8,7,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,1,8,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,8,1,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,8,7,3,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,8,7,1,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,5,8,7,1,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,8,7,3,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,8,1,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,1,8,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,3,8,7,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,3,8,7,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,8,3,7,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,8,3,7,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,1,3,7,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,8,5,7,3,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,8,5,7,1,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,7,1,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,7,5,3,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,8,7,5,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,1,4,8,7,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,8,7,3,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,8,7,3,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,7,5,1,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,7,3,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,5,6,8,9,7,1] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,7,8,5,6,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,1,4,8,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,3,7,8,5,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,6,7,10,1,8,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,5,3,2,6,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,2,6,7,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,2,8,5,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,7,5,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,4,3,7,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,5,3,7,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,6,2,3,1,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,8,2,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,8,5,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,3,7,5,1,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,3,6,5,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,3,5,6,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,2,7,4,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,6,4,7,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,3,5,7,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,1,6,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,6,8,4,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,2,8,4,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,1,8,6,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,8,4,2,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,6,1,8,5,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,2,7,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,3,4,8,6,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,3,4,1,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,2,3,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,8,4,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,2,1,4,5,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,4,3,5,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,3,4,6,8,5] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,3,4,8,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,3,4,7,6,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,3,4,6,7,5] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,3,5,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,1,4,3,5,2,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,2,1,4,5,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,2,1,5,6,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,1,6,5,4,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,3,5,4,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,8,3,5,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,7,3,5,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,6,2,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,5,3,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,4,3,1,6,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,2,5,4,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,5,1,8,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,4,1,8,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,8,1,5,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,7,3,5,4,2,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,8,2,7,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,2,8,4,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,8,5,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,1,8,4,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,8,4,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,8,4,3,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,3,5,4,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,3,4,6,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,3,4,8,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,1,3,4,7,2,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,3,4,6,8,5] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,3,4,8,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,2,3,4,1,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,3,4,1,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,3,5,4,2,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,2,7,4,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,3,4,1,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,2,3,4,8,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,3,4,7,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,8,7,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,3,5,6,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,2,1,6,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,1,2,6,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,5,2,7,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,6,2,4,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,7,6,4,1,3,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,7,6,3,1,4,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,7,6,2,4,3,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,7,6,3,4,2,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,7,3,6,5,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,2,6,5,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,8,5,7,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,8,5,7,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,8,5,2,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,1,6,8,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,7,5,8,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,7,6,2,1,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,7,6,2,1,3,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,7,6,1,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,4,6,8,2,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,3,5,4,8,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,7,2,6,5,1,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,1,5,7,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,5,7,3,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,5,8,6,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,2,5,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,2,1,4,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,6,5,1,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,6,5,7,8,2,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,8,5,3,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,2,4,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,6,8,5,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,2,5,1,4,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,2,3,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,3,4,6,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,2,4,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,1,6,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,7,2,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,4,1,7,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,7,8,6,2,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,8,6,2,7,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,1,6,7,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,8,6,4,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,2,7,5,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,2,8,6,4,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,8,4,6,3,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,7,2,6,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,2,6,1,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,3,6,1,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,3,5,7,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,4,3,7,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,2,6,4,7,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,7,6,5,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,8,7,3,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,7,3,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,8,1,7,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,8,4,7,2,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,4,7,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,4,2,7,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,2,3,7,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,4,3,7,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,8,4,1,2,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,4,3,2,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,8,4,3,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,2,8,6,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,4,8,6,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,8,6,2,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,8,7,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,8,7,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,4,8,7,2,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,8,2,7,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,4,8,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,4,8,2,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,3,8,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,4,8,6,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,3,8,6,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,4,8,6,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,4,8,2,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,4,3,8,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,2,3,8,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,4,3,8,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,8,3,5,4,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,2,8,5,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,2,7,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,3,6,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,2,8,1,4,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,4,2,1,5,3,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,1,3,6,5,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,1,5,6,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,2,1,5,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,3,2,5,1,4,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,2,7,5,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,3,7,1,6,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,6,5,4,1,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,2,8,6,5,4,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,2,8,7,6,5,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,7,6,5,3,1,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,8,6,1,5,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,9,1,7,6,5,4,3,2] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,3,8,6,5,4,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,8,5,7,6,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,5,6,1,3,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,5,3,2,4,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,1,5,3,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,5,3,2,4,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,1,4,5,2,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,1,5,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,6,1,5,2,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,1,5,4,3,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,2,6,1,4,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,1,7,4,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,1,5,4,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,1,5,2,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,7,5,1,3,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,7,5,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,1,5,4,3,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,6,1,7,4,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,4,3,2,6,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,5,7,3,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,1,3,2,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,6,1,5,7,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,6,7,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,6,1,8,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,5,1,8,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,1,6,8,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,7,1,8,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,8,1,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,4,1,8,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,4,8,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,4,7,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,1,3,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,1,3,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,4,1,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,7,3,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,7,3,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,4,3,6,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,8,6,4,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,7,4,6,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,1,7,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,1,7,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,8,1,2,7,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,8,5,6,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,8,3,1,5,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,7,3,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,7,3,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,4,7,1,2,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,4,1,3,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,2,1,3,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,8,1,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,6,7,1,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,2,3,6,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,2,3,4,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,6,8,1,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,4,6,8,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,7,3,6,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,3,6,8,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,6,8,1,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,3,4,6,8,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,2,6,8,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,7,2,8,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,7,2,6,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,7,2,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,1,7,8,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,1,7,8,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,3,4,8,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,3,4,6,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,1,3,6,8,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,7,1,5,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,5,1,7,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,5,7,2,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,4,1,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,6,7,4,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,7,3,4,8,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,1,3,5,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,3,4,5,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,4,5,8,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,4,8,1,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,1,2,7,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,6,1,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,6,7,4,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,6,7,4,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,6,1,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,1,3,7,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,7,3,5,8,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,2,4,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,2,8,1,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,4,8,1,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,4,6,8,1,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,4,6,8,2,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,4,6,8,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,2,6,8,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,2,5,8,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,7,2,8,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,7,2,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,5,7,3,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,5,1,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,2,5,6,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,5,8,1,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,1,2,5,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,4,7,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,2,6,7,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,2,6,1,7,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,6,2,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,4,1,2,7,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,5,1,2,7,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,1,7,8,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,7,2,8,1,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,1,3,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,7,1,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,3,1,7,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,2,4,8,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,5,2,6,1,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,2,1,6,3,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,3,4,1,6,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,3,1,6,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,2,1,8,3,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,4,2,1,6,8,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,3,1,6,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,5,6,1,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,7,4,1,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,3,1,4,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,4,1,5,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,4,2,1,5,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,3,1,8,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,7,8,1,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,7,2,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,2,3,8,1,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,5,2,8,1,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,2,4,8,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,2,1,3,8,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,4,1,2,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,2,4,1,8,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,3,2,5,1,8,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,2,7,8,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,3,2,7,4,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,2,7,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,2,7,8,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,2,6,1,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,6,1,2,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,6,2,1,3,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,5,1,2,8,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,4,1,2,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,2,4,1,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,4,2,7,8,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,2,1,8,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,2,1,4,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,7,3,1,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,5,6,1,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,5,6,3,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,8,6,3,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,8,6,1,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,8,6,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,8,6,3,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,8,3,6,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,8,1,6,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,5,6,3,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,5,6,3,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,8,6,3,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,8,3,6,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,8,5,6,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,8,5,6,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,5,8,6,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,3,8,6,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,3,8,6,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,8,3,6,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,1,8,6,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,1,8,6,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,3,8,6,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,1,8,6,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,8,6,1,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,8,3,6,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,5,3,6,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,6,3,1,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,1,6,3,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,1,5,6,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,3,5,6,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,8,5,6,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,8,5,6,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,8,3,6,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,8,6,3,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,8,6,3,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,1,6,3,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,1,6,3,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,1,3,6,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,8,3,6,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,3,8,6,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,3,8,6,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,5,8,6,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,5,8,6,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,7,8,6,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,7,8,6,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,7,8,6,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,5,8,6,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,8,5,6,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,1,5,6,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,3,5,6,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,8,5,6,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,5,8,6,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,7,8,6,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,4,8,6,1,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,4,8,1,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,4,1,8,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,1,4,6,2,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,1,4,8,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,4,1,2,6,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,1,4,2,6,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,1,4,2,8,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,1,2,8,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,8,1,2,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,1,2,6,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,3,5,2,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,3,8,4,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,7,8,6,1,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,2,8,3,1,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,5,8,3,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,5,1,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,6,3,2,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,2,4,1,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,6,7,5,4,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,7,8,3,4,1,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,3,4,8,1,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,1,2,5,3,4,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,2,3,4,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,7,6,2,8,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,1,5,4,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,4,6,8,5,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,5,7,1,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,7,1,4,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,1,8,3,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,6,3,8,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,4,6,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,8,6,3,1,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,5,6,7,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,4,8,5,3,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,6,7,5,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,7,6,3,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,4,5,8,1,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,6,3,2,1,8,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,3,2,1,8,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,5,2,3,8,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,1,7,3,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,2,3,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,1,8,7,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,8,1,3,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,5,2,3,1,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,6,5,1,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,1,8,5,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,5,6,8,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,6,4,1,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,8,2,5,3,1,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,3,6,8,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,7,8,4,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,7,8,3,6,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,5,7,2,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,8,1,2,5,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,8,6,3,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,4,3,2,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,3,4,2,1,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,1,5,7,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,7,3,5,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,8,3,7,4,1,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,1,4,8,3,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,5,3,4,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,6,3,1,5,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,8,2,5,7,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,4,8,6,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,8,7,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,2,8,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,5,8,7,1,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,8,4,7,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,8,6,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,8,7,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,8,7,6,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,3,8,1,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,8,7,2,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,6,2,8,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,2,8,7,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,3,2,8,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,1,8,7,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,2,8,7,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,2,8,7,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,5,1,8,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,7,5,1,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,6,2,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,3,2,7,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,2,1,7,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,5,1,4,8,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,7,1,3,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,2,4,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,2,8,6,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,3,8,7,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,2,8,7,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,2,8,7,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,1,3,7,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,6,8,3,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,7,5,3,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,2,6,4,1,3,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,7,5,8,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,4,5,8,6,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,6,3,4,1,5,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,4,6,5,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,4,7,5,3,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,7,5,6,3,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,7,6,4,5,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,2,8,3,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,5,2,1,4,3,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,3,1,4,5,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,3,2,1,4,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,4,5,1,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,6,4,1,3,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,7,5,8,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,3,6,8,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,4,3,7,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,7,4,8,6,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,3,7,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,2,7,3,6,5,4] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,3,8,4,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,7,4,3,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,6,8,4,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,7,1,4,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,1,5,4,3,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,3,1,4,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,3,1,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,2,7,1,5,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,8,2,1,5,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,3,1,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,7,2,1,5,4,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,2,8,4,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,5,8,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,3,8,2,1,4,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,4,5,7,1,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,6,2,7,1,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,1,8,4,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,1,8,5,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,8,6,4,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,2,8,3,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,4,3,7,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,4,1,3,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,1,3,8,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,1,7,4,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,7,5,4,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,8,7,4,6,5,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,8,7,6,3,5,4] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,1,7,6,4,3,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,1,8,7,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,8,5,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,1,7,6,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,1,8,5,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,1,6,5,4,3,2] => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,1,8,3,6,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,8,7,5,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,2,3,4,5,9,6,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,1,2,3,4,9,5,6,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,1,2,9,3,4,5,6,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,1,9,2,3,4,5,6,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,1,2,3,4,5,6,10,7,8] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,1,2,3,8,9,5,6,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,8,9,3,4,5,6,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,5,8,7,2,6,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,2,7,1,6,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,1,6,4,5,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,3,7,5,2,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,6,3,8,5,2,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,7,5,2,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,8,2,6,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,3,4,6,8,5,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,7,5,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,4,8,7,1,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,4,6,8,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,5,7,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,4,5,1,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,7,5,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,3,6,5,1,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,7,5,8,6,3,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,7,3,6,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,7,8,4,6,3,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,3,7,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,3,1,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,4,8,5,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,3,4,1,8,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,3,4,1,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,3,4,1,5,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,8,7,5,6] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,5,3,4,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,2,3,5,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,7,4,1,5,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,6,7,5,1,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,8,4,6,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,5,4,6,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,7,1,4,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,8,5,1,7,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,1,4,6,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,2,5,1,4,6,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,8,5,2,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,1,4,2,5,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,1,2,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,5,7,1,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,8,7,1,6,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,6,7,5,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,6,2,7,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,8,2,6,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,7,1,5,6,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,5,7,2,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,7,2,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,1,3,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,2,3,5,6,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,3,7,4,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,6,7,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,7,5,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,6,1,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,4,7,5,1,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,4,5,1,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,4,2,5,6,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,5,1,6,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,4,1,5,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,1,7,2,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,8,2,6,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,6,7,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,4,1,2,5,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,1,6,3,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,1,3,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,6,7,1,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,1,3,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,2,3,6,4,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,2,6,3,4,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,3,6,1,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,3,6,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,7,6,3,4,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,4,1,5,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,7,5,6,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,1,5,6,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,3,5,6,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,6,7,5,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,1,6,7,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,8,6,7,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,6,7,5,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,6,7,5,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,6,7,5,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,2,5,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,7,5,6,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,2,7,5,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,2,6,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,6,7,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,7,3,6,4,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,3,6,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,2,6,3,4,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,2,3,6,4,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,7,2,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,6,7,2,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,2,3,6,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,1,2,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,2,3,6,4,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,5,7,4,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,7,4,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,6,2,4,5,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,7,6,1,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,7,6,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,1,8,6,2,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,8,7,5,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,7,5,2,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,8,5,2,1,4,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,3,1,4,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,3,4,6,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,6,2,1,3,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,7,3,1,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,3,7,2,5,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,6,8,2,3,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,2,8,3,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,2,1,8,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,4,1,2,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,4,1,3,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[9,6,7,5,4,3,2,1,8] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,4,2,8,1,5,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,8,2,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,6,4,2,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,6,7,5,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,3,8,7,2,4,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,7,2,6,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,7,8,6,2,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,4,3,7,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,2,8,7,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,8,6,2,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,8,2,7,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,2,6,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,8,6,2,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,5,7,8,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,4,6,8,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,7,1,8,4,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,6,7,1,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,6,7,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,2,7,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,2,8,6,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,4,2,6,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,4,1,6,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,1,2,6,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,8,2,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,8,2,6,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,1,2,3,8,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,3,2,5,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,2,4,3,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,4,1,5,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,4,3,5,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,6,4,7,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,5,7,4,8,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,5,8,1,3,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,3,2,7,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,5,7,1,3,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,3,2,7,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,3,1,7,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,5,7,3,8,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,6,1,7,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,7,5,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,7,3,8,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,7,6,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,2,8,3,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,7,3,1,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,6,8,4,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,2,8,5,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,7,1,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,6,8,4,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,6,8,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,5,2,7,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,7,5,8,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,8,4,2,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,1,8,6,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,7,3,1,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,1,8,7,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,2,1,7,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,7,6,1,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,6,1,7,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,1,6,4,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,6,2,7,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,3,2,7,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,7,5,3,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,4,2,1,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,6,4,1,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,6,3,7,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,3,1,7,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,3,1,7,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,2,8,6,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,1,3,6,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,3,7,5,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,2,7,4,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,6,4,3,7,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,2,1,6,3,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,6,2,7,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,4,2,7,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,5,4,3,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,2,5,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,4,3,2,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,6,3,2,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,1,6,2,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,2,6,5,4,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,1,5,4,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,6,8,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,2,5,4,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,9,8,7,6,5,4,1,10] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,1,5,6,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,6,5,1,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,2,5,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,4,3,2,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,6,7,1,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,6,5,2,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,2,4,7,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,7,2,4,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,2,5,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,5,4,3,6,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,5,6,4,7,1,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,6,3,5,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,8,7,2,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,3,7,8,2,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,2,7,6,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,5,1,8,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,3,6,1,5,4,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,5,8,7,4,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,2,1,7,8,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,3,5,2,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,2,1,8,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,7,3,5,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,6,2,1,7,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,6,4,2,1,5] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,3,1,8,4,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,8,6,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,1,4,7,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,5,4,1,7,3,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,7,2,8,5,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,8,2,7,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,3,8,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,4,1,8,5,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,3,2,7,5,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,7,5,1,3,8,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,4,3,8,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,2,4,8,6,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,8,7,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,3,2,7,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,5,2,4,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,2,4,1,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,2,5,7,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,5,8,4,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,7,8,4,3,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,7,8,4,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,6,4,1,3,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,6,3,2,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,7,6,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,1,7,5,2,8,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,5,3,1,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,2,7,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,8,4,6,3,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,1,8,4,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,7,3,1,6,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,6,8,5,7,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,1,7,4,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,6,2,1,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,8,3,7,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,1,8,3,4,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,7,1,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,7,4,5,3,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,8,5,6,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,7,1,5,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,6,2,5,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,5,3,6,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,6,3,4,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,8,1,7,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,4,6,2,8,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,3,1,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,8,1,7,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,8,2,6,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,8,3,7,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,8,7,4,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,8,7,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,4,7,3,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,8,2,5,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,2,8,6,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,5,3,7,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,5,8,6,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,5,3,8,6,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,8,3,7,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,2,7,3,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,3,7,2,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,5,2,3,7,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,8,2,6,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,2,3,8,6,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,4,8,5,2,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,5,8,6,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,8,1,6,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,7,8,5,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,7,4,5,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,8,3,4,1,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,7,4,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,3,2,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,3,8,5,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,8,4,3,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,7,8,6,1,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,7,6,8,1,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,4,8,5,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,6,8,7,1,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,8,3,6,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,8,3,4,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,1,2,3,5,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,7,3,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,2,3,7,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,7,6,2,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,1,2,3,4,6,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,1,2,3,6,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,6,5,3,8,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,1,4,3,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,2,4,3,1,5,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,2,8,3,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,6,3,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,3,5,8,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,3,8,5,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,3,6,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,5,2,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,7,5,2,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,8,7,4,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,6,5,7,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,4,5,1,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,3,1,4,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,8,3,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,8,3,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,4,3,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,1,5,3,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,4,2,3,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,5,3,2,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,8,4,2,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,8,4,2,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,4,3,5,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,4,3,5,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,8,3,5,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,1,5,6,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,4,3,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,1,8,4,5,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,8,4,5,2,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,4,8,3,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,1,3,8,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,8,4,3,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,8,4,5,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,1,8,4,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,8,4,3,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,8,4,3,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,4,8,3,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,4,8,3,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,3,6,2,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,8,6,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,1,8,5,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,8,5,3,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,8,5,3,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,8,4,5,3,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,8,4,5,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,8,4,5,6,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,8,1,5,6,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,8,1,5,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,2,8,5,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,8,4,2,5,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,7,6,5,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,4,7,3,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,3,6,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,6,7,4,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,7,3,2,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,7,3,2,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,8,3,2,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,8,3,5,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,8,6,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,7,8,3,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,8,7,3,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,7,6,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,7,3,5,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,6,3,2,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,6,3,2,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,3,7,5,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,1,5,3,7,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,2,4,1,6,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,7,3,4,8,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,3,4,7,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,2,4,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,3,5,6,4,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,3,5,6,4,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,3,5,4,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,4,6,3,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,4,3,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,4,3,1,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,2,4,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,8,6,4,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,3,7,5,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,6,7,5,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,1,7,6,4,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,4,3,1,5,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,2,4,3,5,1,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,4,6,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,6,5,3,2,4] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,5,7,3,4,6,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,2,5,3,6,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,2,3,5,4,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,3,5,8,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,3,5,7,4,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,3,7,6,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,3,8,6,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,3,4,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,5,2,4,7,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,5,3,1,8,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,2,3,8,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,7,4,5,1,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,3,2,5,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,3,1,2,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,3,1,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,3,4,5,8,6,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,3,4,5,7,1,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,6,8,5,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,2,8,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,5,1,8,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,6,7,4,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,5,6,7,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,4,6,7,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,1,3,4,2,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,4,3,1,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,6,8,5,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,1,8,5,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,3,8,5,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,6,4,8,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,4,8,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,7,8,5,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,8,4,5,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,3,6,8,4,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,5,7,1,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,8,3,5,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,3,6,7,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,8,4,6,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,8,4,5,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,8,3,5,2,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,3,2,4,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,3,5,6,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,3,1,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,4,8,3,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,2,1,4,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,2,8,4,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,4,1,8,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,4,8,5,1,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,1,4,2,6,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,1,8,2,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,4,8,1,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,7,4,2,6,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,4,1,5,6,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,2,4,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,6,3,7,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,4,2,1,6,3,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,5,2,7,4,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,8,7,6,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,4,8,1,3,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,7,5,6,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,6,7,5,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,6,5,7,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,4,8,2,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,8,3,4,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,1,7,4,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,8,7,4,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,3,8,1,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,8,3,4,6,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,4,3,1,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,1,3,6,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,1,4,6,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,5,4,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,8,4,6,3,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,4,1,2,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,4,3,6,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,3,6,5,2,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,4,7,6,5,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,1,4,6,7,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,2,5,1,7,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,2,5,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,3,5,1,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,4,6,5,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,4,5,7,6,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,2,4,7,8,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,5,2,7,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,2,3,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,7,2,1,4,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,5,1,4,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,5,8,2,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,4,2,6,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,1,6,8,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,6,1,7,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,4,7,8,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,7,4,8,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,5,6,2,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,8,4,7,2,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,8,2,7,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,8,5,2,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,5,1,4,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,8,4,6,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,8,4,6,2,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,4,3,7,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,8,6,2,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,8,7,2,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,3,8,6,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,8,4,7,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,8,7,5,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,8,1,7,6,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,4,1,7,6,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,8,2,5,6,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,4,5,1,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,5,6,2,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,4,3,5,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,2,3,7,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,5,3,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,8,4,3,5,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,3,2,1,6,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,2,8,4,1,5,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,8,1,2,6,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,4,3,2,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,6,4,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,6,2,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,7,1,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,3,8,1,7,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,3,6,8,5,2,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,8,3,6,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,8,5,4,6,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,8,3,4,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,7,3,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,5,7,4,1,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,5,8,4,1,3,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,8,4,6,1,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,8,3,7,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,8,5,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,5,7,8,1,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,2,6,7,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,7,3,8,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,7,5,8,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,7,8,5,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,4,8,7,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,1,8,7,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,3,7,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,5,3,8,4,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,3,8,7,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,2,3,8,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,2,3,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,2,6,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,3,8,2,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[9,8,7,6,5,4,3,1,2,10] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,6,5,4,2,1,3,9] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,8,7,6,2,5,4,3] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,1,9,8,7,6,5,4,3] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[1,2,9,8,7,6,5,4,3] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,2,1,9,8,7,6,5,4] => [2,2,2,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9]] => [[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,2,3,9,8,7,6,5,4] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,1,9,8,7,6,5] => [2,2,2,2,1] => [[1,2],[3,4],[5,6],[7,8],[9]] => [[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[1,2,3,4,9,8,7,6,5] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,4,5,9,8,7,6] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,4,7,6,9,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,5,7,6,9,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,10,9,8,7,6,5,4,3] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,2,1,10,9,8,7,6,5,4] => [2,2,2,1,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,2,3,10,9,8,7,6,5,4] => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,3,4,10,9,8,7,6,5] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,4,5,6,10,9,8,7] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,5,6,7,10,9,8] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,2,7,4,1,6,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,1,5,6,2,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,3,4,1,6,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,4,5,6,2,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,4,2,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,8,5,2,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,4,8,6,2,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,3,2,1,6,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,7,6,3,1,5,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,1,7,2,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,9,2,3,4,5,6,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,8,5,3,7,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,8,5,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,6,3,1,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,8,2,1,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,5,8,2,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,5,3,2,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,5,2,8,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,2,1,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,2,1,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,2,7,8,1,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,6,3,7,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,6,3,7,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,2,1,7,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,5,6,7,3,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,6,7,3,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,6,8,7,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,1,8,7,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,8,6,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,2,6,7,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,6,7,1,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,8,6,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,6,1,7,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,1,8,7,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,6,8,7,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,8,7,1,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,6,2,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,6,7,8,4,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,1,7,8,3,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,1,7,3,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,6,7,4,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,5,6,7,4,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,6,7,4,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,1,6,7,4,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,1,7,3,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,8,7,4,3,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,2,7,8,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,8,7,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,8,7,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,2,4,7,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,2,4,7,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,1,4,8,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,7,8,5,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,2,4,8,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,3,4,8,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,3,4,7,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,3,4,7,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,5,4,8,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,5,4,8,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,5,4,8,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,3,4,7,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,1,4,7,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,5,4,8,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,5,4,8,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,5,4,8,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,4,7,3,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,5,4,8,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,3,2,4,7,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,5,4,8,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,5,4,8,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,5,4,8,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,4,7,3,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,4,7,3,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,4,7,3,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,3,7,5,1,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[8,7,5,6,2,1,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,2,4,7,3,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,5,4,7,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,5,4,7,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,3,5,4,8,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,1,4,7,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,2,7,5,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,6,4,1,7,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,4,6,8,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,2,7,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,2,7,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,1,7,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,3,5,4,8,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,4,7,3,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,3,4,6,8,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,5,4,7,3,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,3,5,4,8,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,4,7,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,7,6,4,3,5,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,6,4,5,2,7,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,8,6,4,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,5,1,6,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,6,5,2,1,4,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,6,5,2,1,7,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,6,5,2,1,8,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,8,6,4,2,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,2,8,1,3,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,6,4,1,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,5,1,8,3,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,2,1,4,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,6,3,1,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,8,1,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,8,1,5,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,8,5,2,7,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,5,2,1,4,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,6,3,1,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,6,3,1,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,8,7,6,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,8,1,6,5,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,3,6,1,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,2,1,4,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,5,1,3,7,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,8,1,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,8,6,3,1,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,5,2,1,4,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,1,8,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,6,3,1,4,5,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,2,1,4,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,1,3,7,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,6,1,4,7,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,5,8,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,8,1,2,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,6,1,2,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,8,1,6,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,8,6,1,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,7,6,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,8,7,5,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,8,7,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,7,1,2,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,8,7,1,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,2,7,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,8,2,7,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,8,7,2,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,7,2,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,7,2,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,7,4,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,7,4,1,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,1,5,2,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,5,3,6,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,2,3,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,8,3,4,6,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,2,3,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,1,5,7,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,3,1,7,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,7,4,1,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,7,1,4,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,3,8,1,7,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,8,3,4,7,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,7,5,1,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,3,1,8,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,7,8,1,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,2,7,4,8,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,7,6,8,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,1,8,7,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,4,7,8,1,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,4,2,8,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,2,3,7,8,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,2,5,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,3,8,4,1,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,1,5,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,4,7,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,7,8,1,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,3,1,7,2,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,4,2,6,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,3,2,5,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,3,1,5,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,2,1,5,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,3,2,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,8,3,6,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,8,1,6,2,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,8,5,7,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,1,7,4,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,1,7,5,3,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,1,8,6,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,7,6,1,4,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,8,6,1,4,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,8,7,1,4,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,1,7,3,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,8,7,2,1,5,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,8,4,7,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,7,2,8,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,3,1,7,8,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,1,7,8,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,1,6,7,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,4,5,7,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,3,7,4,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,8,5,4,7,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,6,3,7,4,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,8,4,7,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,8,3,7,4,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,7,1,2,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,8,1,2,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,8,4,2,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,8,4,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,7,3,1,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,6,3,8,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,7,8,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,7,8,4,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,4,3,2,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,6,1,3,5,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,6,5,7,3,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,1,5,7,6,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,6,2,5,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,3,5,2,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,7,4,2,5,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,7,5,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,1,8,5,3,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,4,8,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,2,7,1,4,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,6,1,3,2,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,1,3,8,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,6,3,1,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,1,5,6,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,5,6,1,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,5,6,3,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,7,6,2,8,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,7,1,4,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,6,1,3,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,1,6,3,8,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,5,6,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,5,7,1,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,4,5,3,8,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,1,3,2,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,5,7,1,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,4,3,2,6,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,5,6,2,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,6,2,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,1,3,2,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,2,8,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,7,8,6,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,6,2,8,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,1,2,8,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,2,8,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,5,2,1,6,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,6,8,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,3,2,7,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,2,7,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,8,3,1,5,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,2,8,4,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,8,6,3,4,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,8,4,3,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,8,1,7,2,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,8,4,2,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,8,4,3,7,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,8,4,2,1,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,3,1,6,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,1,2,6,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,1,5,6,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,3,2,6,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,6,2,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,8,4,6,1,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,3,4,6,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,7,2,1,6,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,1,6,3,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,4,2,1,6,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,2,5,8,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,2,6,3,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,8,3,6,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,1,2,6,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,3,5,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,2,6,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,1,3,4,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,6,1,3,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,5,2,8,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,3,6,1,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,3,7,8,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,8,3,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,7,8,4,5,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,3,1,5,4,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,6,5,1,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,5,6,8,2,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,6,5,8,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,2,4,6,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,7,4,2,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,8,1,2,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,7,8,1,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,7,1,8,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,8,2,1,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,8,4,1,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,8,3,4,6,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,8,4,1,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,5,8,3,1,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,4,8,1,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,1,6,8,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,1,8,6,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,3,1,5,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,2,3,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,8,1,2,4,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,5,1,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,5,4,6,1,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,2,7,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,4,1,2,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,1,3,5,2,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,3,6,8,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,3,2,7,6,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,4,6,7,5,8,1,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,7,6,1,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,5,7,8,3,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,1,6,2,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,3,6,8,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,6,1,3,7,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,7,1,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,6,8,1,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,4,1,5,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,5,1,8,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,2,5,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,8,2,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,4,5,8,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,4,6,8,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,5,8,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,1,4,8,3,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,1,4,8,3,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,8,4,7,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,4,3,6,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,5,8,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,1,5,7,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,8,1,3,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,3,8,6,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,3,7,1,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,5,8,2,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,2,6,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,8,7,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,1,6,8,3,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,6,8,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,2,6,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,2,3,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,1,6,3,5,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,7,3,5,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,5,3,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,2,7,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,2,4,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,2,4,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,4,7,2,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,1,2,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,8,1,2,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,8,7,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,4,8,2,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,8,2,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,1,7,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,8,1,7,3,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,8,2,3,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,2,7,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,2,8,5,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,3,8,1,5,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,7,3,6,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,8,6,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,8,7,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,8,4,2,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,7,4,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,8,3,6,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,8,5,3,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,4,8,3,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,7,5,3,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,2,7,3,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,2,6,3,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,4,3,7,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,4,3,8,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,7,3,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,7,2,4,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,2,4,1,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,8,2,4,5,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,2,4,5,8,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,4,2,3,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,7,2,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,6,1,2,3,5,4] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,1,6,2,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,4,7,1,6,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,1,8,5,2,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,5,2,7,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,7,5,3,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,8,7,3,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,8,2,4,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,8,7,3,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,7,4,3,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,2,7,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,1,8,3,5,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,5,4,8,3,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,5,1,2,6,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,3,2,7,1,6,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,1,6,2,3,8,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,3,2,7,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,1,4,7,5,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,7,4,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,8,5,2,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,7,4,6,2,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,6,7,8,2,3,5,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,4,6,2,1,5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,6,1,3,5,2,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,2,4,6,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,5,3,1,7,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,7,6,5,2,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,1,8,6,4,3,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,6,5,3,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,1,3,5,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,4,6,1,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,1,2,5,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,7,6,8,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,7,8,5,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,4,3,1,8,6,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,6,2,7,3,1,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,5,6,1,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,4,1,7,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,6,7,5,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,4,5,8,3,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,5,8,3,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,7,8,3,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,4,7,8,3,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,7,8,3,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,7,8,1,5,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,7,1,8,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,4,7,8,1,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,4,7,2,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,4,7,2,8,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,4,2,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,2,1,3,7,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,3,8,2,5,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,7,8,5,2,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,1,7,8,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,1,3,2,4,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,7,8,3,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,4,7,1,2,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,2,5,4,3,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,6,1,5,3,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,6,4,1,3,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,6,4,5,2,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,5,7,4,2,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,3,8,7,1,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,8,1,6,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,7,4,1,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,4,1,2,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,2,7,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,1,2,7,4,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,8,4,1,3,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,7,1,6,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,5,8,7,3,6,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,8,7,5,6,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,8,5,6,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,7,5,1,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,2,4,6,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,8,4,6,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,8,7,2,1,4,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,8,5,6,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,6,8,5,1,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,8,5,1,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,8,1,6,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,7,8,2,6,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,4,1,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,3,4,1,2,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,7,1,5,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,2,7,6,1,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[2,5,3,1,8,6,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,3,2,8,6,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,8,6,1,4,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,6,1,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,1,5,2,7,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,3,7,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,5,3,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,4,8,5,1,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,4,8,5,2,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,4,8,6,5,2,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,8,7,5,6,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,2,8,6,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,5,1,3,8,6,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,2,8,6,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,8,1,3,6,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,4,1,6,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,8,5,6,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,7,2,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,1,2,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,3,1,2,8,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,6,2,1,5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,4,6,5,7,1,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,1,4,5,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,6,3,5,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,6,4,1,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,2,1,3,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,3,6,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,3,7,1,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,4,8,3,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,4,8,6,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,5,4,8,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,7,3,2,1,8,5,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,2,5,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,7,6,1,2,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,6,1,3,2,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,7,4,1,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,4,2,3,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,3,1,6,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,2,5,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,5,4,2,7,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,3,1,2,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,8,7,3,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,7,8,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,8,7,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,4,8,1,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,5,2,1,6,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,6,8,1,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,6,3,8,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,4,7,8,3,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,4,2,8,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,8,4,2,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,7,3,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,8,4,3,6,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,7,4,1,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,8,1,7,3,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,8,7,4,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,6,8,2,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,4,3,1,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,8,3,6,7,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,3,7,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,3,7,4,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,2,7,1,5,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,3,6,4,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,3,4,7,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,8,4,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,5,2,7,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,5,4,8,3,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,8,4,6,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,4,3,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,2,8,4,6,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,8,1,5,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,4,3,1,7,5,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,4,6,8,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,7,1,6,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,2,4,3,6,8,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,6,3,8,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,2,7,3,4,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,1,4,8,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,1,4,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,3,6,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,3,5,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,4,8,5,6,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,1,3,4,5,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,3,5,4,2,1,6] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,1,6,4,3,2,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,1,4,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,3,6,4,7,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,7,5,8,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,8,7,5,2,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,7,2,1,5,8,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[9,1,8,7,6,5,4,3,2] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,6,8,1,5,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,1,9,8,7,6,5,4,2] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[10,1,9,8,7,6,5,4,3,2] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,6,1,8,5,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,8,1,7,4,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,8,7,4,1,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,1,10,9,8,7,6,5,4,2] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[1,6,4,8,3,2,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,5,6,2,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,5,6,2,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,5,3,7,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,8,2,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,2,5,6,1,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,2,5,4,7,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,1,2,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,2,5,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,4,2,1,3,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,8,5,7,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,6,2,1,5,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,3,4,1,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,4,5,6,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,3,1,5,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,2,3,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,2,4,1,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,2,8,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,4,8,3,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,8,6,1,3,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,3,1,4,5,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,8,2,3,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,3,1,5,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,7,2,1,4,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,4,7,1,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,4,1,8,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,5,1,8,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,1,3,7,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,1,8,2,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,2,8,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,3,5,7,2,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,4,1,3,6,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,1,3,7,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,1,8,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,1,8,2,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,7,2,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,4,7,3,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,5,4,7,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,8,3,7,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,3,8,7,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,8,2,7,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,3,1,7,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,8,1,7,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,1,8,7,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,7,8,1,4,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,8,7,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,3,7,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,3,7,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,2,7,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,8,7,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,7,4,1,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,2,3,1,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,2,8,3,1,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,2,1,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,2,1,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,7,8,2,4,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,7,2,4,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,7,8,3,4,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,8,7,3,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,6,7,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,6,8,7,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,6,7,4,8,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,7,8,4,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,8,1,7,5,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,1,7,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,1,8,3,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,1,3,8,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,1,3,2,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,3,1,2,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,3,8,1,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,7,4,2,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,3,8,2,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,6,2,3,5,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,6,3,2,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,6,3,8,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,1,5,8,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,5,7,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,7,6,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,6,1,8,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,8,6,3,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,6,1,8,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,1,6,8,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,5,1,2,7,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,5,1,4,8,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,4,1,3,2,7,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,2,3,6,8,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,8,3,7,1,6,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[4,7,1,8,2,5,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,8,5,3,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,6,1,3,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,4,7,8,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,3,7,8,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,7,2,5,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,6,5,8,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,5,6,8,3,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,7,2,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,7,6,8,4,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,6,4,7,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,6,3,2,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,8,6,5,3,7,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,5,3,6,7,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,2,7,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,3,1,8,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,6,8,1,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,6,1,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,5,7,2,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,6,7,8,2,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,6,5,7,2,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,2,6,8,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,2,6,8,7,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,4,3,2,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,5,2,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,2,3,8,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,1,3,5,6,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,3,5,6,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,8,5,2,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,5,8,2,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,1,8,4,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,8,1,4,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,1,8,4,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,1,4,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,5,1,3,8,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,2,5,1,3,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,7,3,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,1,7,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,7,3,1,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,3,7,1,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,2,7,4,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,1,7,3,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,8,1,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,8,3,7,1,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,8,4,6,1,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,8,4,3,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,3,2,7,1,4,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,8,2,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,2,7,1,4,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,2,6,1,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,8,3,7,1,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,3,7,2,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,4,6,2,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,4,1,6,2,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,1,6,2,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,8,1,6,2,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,5,1,6,2,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,4,8,3,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,8,1,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,4,2,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,4,2,1,5,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,4,1,5,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,2,8,1,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,5,2,7,1,4,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,2,6,1,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,8,5,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,4,1,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,3,1,5,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,3,8,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,7,5,2,8,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,8,2,5,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,7,5,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,4,2,1,6,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,5,8,1,2,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,8,1,2,5,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,4,8,2,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,3,4,8,1,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,4,8,2,3,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,5,1,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,4,8,1,3,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,5,8,4,1,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,8,2,1,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,6,5,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,2,3,5,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,2,3,7,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,4,7,6,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,3,6,5,4,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,8,1,7,5,2,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,6,7,2,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,8,4,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,8,5,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,8,7,4,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,5,7,3,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,6,5,7,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,8,6,7,3,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,7,5,6,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,8,6,4,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,2,6,1,4,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,4,5,6,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,5,1,6,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,8,1,5,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,5,1,6,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,2,6,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,1,4,6,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,2,8,1,5,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,5,8,4,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,1,8,4,5,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,8,5,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,4,5,6,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,8,6,5,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,8,5,1,4,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,8,5,1,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,8,7,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,8,7,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,8,5,3,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,6,5,8,4,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,7,1,8,4,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,1,8,4,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,3,8,5,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,8,4,5,3,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,5,8,4,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,1,6,5,3,2,4,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,7,5,3,2,4,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,7,4,2,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,4,2,5,3,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,4,2,5,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,4,7,1,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,3,6,4,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,1,6,4,2,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,4,2,7,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,8,7,4,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,8,6,3,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,1,8,7,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,3,8,7,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,5,4,6,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,1,8,7,5,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,7,4,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,1,8,6,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,5,7,4,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,8,6,3,5,7,4,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,8,5,2,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,7,4,2,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,6,4,7,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,6,3,7,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,4,1,8,5,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,2,6,3,7,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,7,4,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,7,4,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,6,3,2,4,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,2,4,7,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,1,8,6,3,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,7,5,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,8,7,6,1,5] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[2,4,5,1,3,8,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,8,6,3,2,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,7,5,8,6,3,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,2,5,8,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,3,1,7,4,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,4,2,5,3,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,1,8,7,4,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,7,5,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,6,4,1,3,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,6,3,2,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,8,6,3,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,8,5,2,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,2,6,3,1,7,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,5,2,6,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,2,7,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,7,4,6,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,6,3,1,8,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,7,4,8,5,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,3,1,5,7,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,7,5,8,6,3,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,7,5,8,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,8,5,2,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,1,7,4,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,6,3,8,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,5,7,3,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,4,8,3,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,7,3,1,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,4,1,7,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,4,8,1,7,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,4,2,3,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,8,1,2,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,8,7,1,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,8,4,1,7,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,7,4,2,6,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,6,7,1,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,7,5,1,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,7,6,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,8,5,1,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,7,5,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,7,5,1,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,4,1,3,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,7,1,3,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,1,3,2,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,2,7,6,8,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,1,4,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,8,7,3,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,3,2,8,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,8,7,3,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,3,5,4,1,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,1,4,8,7,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,2,8,7,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,8,6,1,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,6,8,1,5,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,2,3,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,1,8,6,4,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,6,1,7,3,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,3,5,8,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,1,6,8,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,5,8,1,4,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,6,4,7,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,4,1,8,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,6,8,2,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,2,6,3,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,6,5,4,8,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,6,1,8,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,2,3,1,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,8,4,6,2,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,1,6,7,4,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,3,6,8,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,6,1,5,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,6,3,2,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,8,5,2,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,4,8,5,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,6,3,2,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,2,7,4,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,4,5,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,8,5,3,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,4,6,7,5,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,6,7,5,4,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,3,8,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,4,1,3,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,1,8,6,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,2,8,5,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,7,6,1,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,8,4,2,3,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,4,6,1,7,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,6,5,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,7,6,1,5,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,4,5,7,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,6,8,4,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,7,3,8,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,7,3,2,6,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,2,6,5,8,4,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,2,5,1,6,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,3,7,4,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,6,4,7,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,8,1,6,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,8,3,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,4,2,1,6,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,6,8,3,1,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,5,8,4,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,6,1,8,4,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,3,4,6,5,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,8,2,5,6,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,1,6,4,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,2,4,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,4,2,3,6,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,1,5,4,2,3,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,1,5,2,8,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,2,5,4,1,3,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,2,5,3,1,4,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,8,7,1,4,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,6,2,4,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,2,7,5,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,2,8,5,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,1,7,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,4,3,5,1,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,2,3,8,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,3,5,1,7,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,1,4,8,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,2,7,5,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,1,6,5,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,4,3,8,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,7,4,3,8,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,7,4,8,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,8,2,1,5,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,1,6,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,7,5,1,6,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,7,3,2,8,5,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,1,6,3,8,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,5,3,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,6,2,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,2,8,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,8,1,5,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,1,5,3,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,3,2,8,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,8,4,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,2,8,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,3,4,2,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,3,7,4,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,1,5,2,7,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,3,7,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,6,1,7,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,3,8,5,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,1,5,2,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,8,4,2,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,7,1,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,8,1,3,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,8,3,7,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,1,5,8,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,5,8,3,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,6,4,8,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,7,3,8,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,3,7,4,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,3,1,5,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,7,4,8,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,8,4,5,2,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,6,4,5,2,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,7,1,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,3,1,6,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,2,8,6,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,7,2,6,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,2,8,1,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,2,1,5,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,1,3,8,5,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,5,7,8,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,1,5,8,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,7,4,8,5,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,7,4,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,2,7,6,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,3,7,6,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,4,3,8,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,1,5,8,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,1,4,8,5,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,2,1,8,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,3,1,8,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,4,2,8,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,1,3,8,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,1,7,6,4,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,8,1,5,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,2,8,1,6,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,6,2,4,8,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,6,4,8,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,5,3,8,1,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,3,6,4,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,3,7,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,3,2,7,5,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,3,2,7,1,6,4,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,1,5,4,3,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,7,4,3,6,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,5,7,2,4,6,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,6,7,1,3,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,6,1,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,8,4,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,8,3,2,5,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,5,8,1,4,2,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,4,1,3,7,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,8,3,2,1,7,6] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,7,2,1,6,5,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,1,4,3,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,8,2,1,5,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,4,8,1,3,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,4,8,2,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,4,1,8,3,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,8,4,2,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,7,3,6,2,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,8,3,1,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,7,8,3,5,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,8,6,4,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,4,7,5,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,7,3,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,7,6,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,4,7,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,1,6,4,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,1,5,3,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,6,2,5,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,1,3,6,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,7,2,1,6,4,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,1,6,3,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,6,1,5,4,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,7,6,1,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,7,2,6,1,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,1,7,5,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,8,6,5,1,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,4,3,1,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,4,3,2,1,7] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,3,6,4,2,1,5] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,2,6,3,4,7,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,7,5,8,6,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,1,5,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,6,5,2,1,8,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,6,2,4,1,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,1,4,2,7,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,2,6,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,6,3,8,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,6,8,3,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[9,1,2,3,4,5,6,8,7] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,1,2,3,4,5,6,7,9,8] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,1,2,3,4,5,7,8,6] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,6,9,7,8,1] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,6,7,8,10,9,1] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,2,8,7,6,4,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,2,7,6,1,5,4,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,4,1,7,6,5,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,5,6,2,3,8,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,3,2,7,8,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,3,8,4,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,7,2,4,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,7,4,5,8,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,1,5,2,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,4,6,1,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,7,5,8,1,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,4,7,8,2,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,4,8,6,1,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,6,4,1,7,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,4,8,6,2,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,8,5,4,1,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,1,7,8,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,6,2,8,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,5,8,3,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,4,1,3,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,6,8,4,7,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,7,6,5,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,7,5,8,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,7,4,3,1,6,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,5,1,7,2,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,1,3,7,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,6,2,1,4,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,4,2,3,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,2,3,5,6,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,1,6,7,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,1,5,7,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,1,2,7,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,2,3,6,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,1,8,4,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,4,1,8,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,3,2,7,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,8,5,1,3,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,5,6,7,1,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,5,4,7,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,5,8,2,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,6,2,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,1,5,3,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,3,8,2,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,4,7,2,5,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,6,1,5,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,4,5,7,1,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,8,3,1,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,6,2,4,5,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,5,8,1,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,8,6,1,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,8,6,1,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,2,8,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,7,4,6,8,5] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,1,4,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,3,8,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,3,2,4,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,1,8,3,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,2,7,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,5,3,8,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,1,4,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,7,6,8,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,6,8,7,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,7,8,4,6,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,6,8,4,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,7,8,6,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,3,7,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,3,7,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,8,6,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,8,7,2,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,8,7,2,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,8,5,7,2,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,8,6,2,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,6,8,3,7,4,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,3,7,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,3,7,4,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,8,6,2,5,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,5,4,8,7,2,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,8,6,7,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,8,4,5,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,5,4,7,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,5,6,4,7,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,8,6,4,7,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,6,5,8,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,3,7,8,4,5,2,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,8,5,6,2,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,6,4,7,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,8,6,5,7,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,8,6,7,4,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,7,5,4,6,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,2,7,4,5,6,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,6,3,4,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,8,4,5,7,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,4,6,7,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,5,6,7,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,8,5,7,2,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,8,7,2,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,8,6,2,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,5,7,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,8,4,5,6,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,8,4,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,4,6,8,3,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,5,8,4,7,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,8,4,5,7,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,1,3,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,1,3,8,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,1,7,2,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,2,5,8,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,1,2,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,1,3,4,8,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,2,4,8,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,3,7,1,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,8,1,2,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,3,8,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,2,8,1,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,3,7,1,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,2,7,4,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,1,2,3,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,1,2,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,1,3,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,7,1,3,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,6,1,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,8,1,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,4,8,1,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,8,1,2,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,1,2,5,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,4,8,1,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,8,1,2,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,7,1,2,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,8,2,3,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,8,6,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,1,6,2,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,8,5,2,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,5,2,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,1,3,7,4,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,1,6,3,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,8,2,5,1,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,7,1,4,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,1,3,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,1,2,4,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,1,2,3,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,1,2,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,1,3,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,6,2,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,4,1,2,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,1,2,5,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,1,2,6,5,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,2,7,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,7,5,4,3,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,7,3,6,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,5,7,4,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,8,7,5,6,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,7,6,4,5,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,2,4,7,6,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,4,1,2,6,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,2,6,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,4,6,8,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,1,6,3,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,6,5,2,7,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,8,5,2,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,5,1,6,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,6,7,5,1,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,7,4,3,8,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,3,1,5,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,4,2,3,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,3,8,2,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,7,5,8,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,4,2,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,3,7,2,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,3,6,2,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,8,4,3,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,8,3,4,2,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,4,2,8,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,8,1,2,6,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,4,5,3,2,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,2,6,5,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,8,6,3,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,8,4,7,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,8,1,5,7,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,2,5,7,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,4,2,6,5,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,1,6,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,6,4,5,8,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,4,8,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,8,7,5,3,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,7,4,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,4,8,6,3,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,4,8,6,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,4,8,6,2,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,4,1,6,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,3,8,4,1,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,8,1,4,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,8,4,1,6,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,1,5,4,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,2,1,5,4,8,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,2,6,1,3,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,5,1,4,8,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,8,1,7,4,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,7,4,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,2,3,7,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,5,4,8,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,1,8,4,3,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,3,1,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,7,1,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,3,8,6,1,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,8,4,3,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,4,2,6,7,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,8,1,5,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,3,1,7,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,2,1,7,6,5] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[4,1,3,7,2,6,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,2,1,6,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,3,7,2,1,5,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[3,5,8,1,7,2,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,4,6,8,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,8,1,5,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,7,1,8,2,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,6,3,8,1,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,6,4,8,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,4,8,7,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,8,7,2,6,1,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[2,4,3,8,7,1,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,8,6,2,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,5,4,2,1,7,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,6,5,2,7,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,8,7,5,4,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,6,5,4,3,1,7] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,3,6,5,2,8,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,5,3,1,4,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,3,8,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,7,4,3,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,4,2,1,5,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,2,6,1,7,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,2,6,8,3,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,8,1,4,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,8,1,5,2,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,2,5,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,6,5,7,8,9,10,1] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,8,7,6,3,5,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,8,7,6,5,2,4,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,8,4,7,6,3,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,8,5,4,7,3,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,8,7,6,3,2,5,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,8,7,6,5,2,1,4] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[9,7,10,5,8,3,6,2,4,1] => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[3,5,2,4,7,6,1,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,4,7,2,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,7,6,1,2,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,4,7,6,1,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,4,6,1,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,4,6,1,2,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,4,6,2,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,7,4,6,1,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,7,6,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,2,6,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,6,2,4,1,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,6,1,2,8,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,6,1,4,2,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,6,4,1,2,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,2,6,1,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,7,6,1,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,6,4,1,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,4,1,8,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,4,1,8,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,1,4,8,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,1,4,8,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,1,2,6,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,2,1,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,7,1,6,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,2,1,6,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,1,6,2,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,1,4,6,8,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,1,4,6,2,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,1,4,2,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,2,1,4,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,7,1,4,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,7,4,1,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,7,4,1,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,4,2,1,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,4,1,2,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,4,7,1,6,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,4,7,1,2,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,4,7,2,1,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,2,7,1,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,4,7,1,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,4,7,2,1,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,7,1,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,6,3,1,8,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,6,3,1,8,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,4,1,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,4,2,1,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,7,4,1,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,7,1,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,7,1,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,2,1,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,1,4,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,2,1,8,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,5,1,8,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,5,1,8,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,5,1,8,4,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,5,1,8,4,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,2,1,8,4,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,5,8,4,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,5,6,7,9,2,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,6,7,1,9,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,4,5,6,7,8,9,3] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,4,5,6,7,8,2,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,8,3,4,1,7,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,2,4,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,4,1,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,6,8,1,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,6,4,1,8,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,1,8,6,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,1,7,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,7,6,1,5,4,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,7,6,1,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,8,2,4,1,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,8,1,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,8,1,7,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,4,1,6,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,2,6,5,1,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,8,1,5,4,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,2,5,6,1,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,6,7,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,8,7,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,7,1,5,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,3,2,5,6,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,8,1,5,3,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,2,7,5,1,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,8,5,1,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,1,8,3,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,5,7,1,4,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,7,1,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,8,7,4,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,6,3,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,4,1,6,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,4,1,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,6,8,2,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,2,3,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,5,3,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,6,8,7,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,3,4,5,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,4,8,6,1,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,2,6,7,8,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,7,3,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,8,3,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,8,7,3,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,7,4,2,1,3,6,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,1,3,2,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,3,1,7,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,2,6,8,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,4,3,8,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,2,1,5,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,2,4,3,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,3,2,6,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,3,1,6,7,4,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,7,4,8,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,7,3,4,1,5,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,3,5,8,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,6,7,1,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,7,8,6,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,5,1,4,7,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,8,6,5,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,6,8,7,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,6,2,1,3,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,7,4,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,5,2,6,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,2,4,5,1,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,2,5,8,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,4,2,5,1,6,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,4,5,2,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,8,6,7,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,6,2,1,3,7,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,1,5,6,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,5,1,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,2,4,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,2,4,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,2,4,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,2,4,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,2,4,7,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,2,7,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,2,1,4,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,2,4,1,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,5,4,1,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,2,4,7,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,3,2,7,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,2,5,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,2,5,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,5,2,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,3,7,2,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,5,1,4,6,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,1,2,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,1,2,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,7,2,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,2,7,4,1,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,4,7,1,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,1,4,7,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,1,7,4,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,7,5,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,2,5,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,2,5,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,2,7,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,2,4,7,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,1,4,7,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,5,2,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,5,2,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,1,3,2,4,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,3,2,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,5,2,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,2,5,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,1,5,4,6,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,7,5,4,6,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,7,5,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,2,5,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,5,2,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,3,2,4,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,3,2,4,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,4,5,7,9,6,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,6,9,5,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,5,9,4,6,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,4,9,3,5,6,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,9,2,4,5,6,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,5,3,4,2,8,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,6,2,7,4,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,1,4,8,2,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,4,8,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,1,4,8,7,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,4,8,7,2,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,4,1,8,7,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,3,8,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,4,5,3,8,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,2,8,5,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,8,3,1,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,6,4,3,8,5,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,1,5,8,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,6,3,8,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,5,3,8,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,6,4,8,3,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,3,4,5,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,2,4,8,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,5,4,3,8,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,5,6,8,2,1,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,5,3,7,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,8,1,7,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,3,1,7,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,3,4,2,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,4,2,6,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,7,1,3,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,2,3,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,7,2,5,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,3,2,6,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,5,1,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,8,6,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,2,4,7,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,1,4,5,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,2,6,7,3,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,5,8,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,3,8,7,4,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,4,3,6,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,1,3,7,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,3,8,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,7,2,1,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,2,5,8,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,3,5,7,1,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,2,6,5,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,4,2,5,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,7,3,6,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,7,8,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,7,8,1,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,3,6,4,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,6,1,7,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,1,7,6,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,8,5,1,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,8,5,1,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,3,1,7,5,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[3,6,5,8,7,1,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,8,2,6,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,8,2,7,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,8,2,7,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,8,1,3,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,1,4,2,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,3,7,8,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,2,5,3,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,8,5,3,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,3,1,7,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,7,6,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,7,6,3,1,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,7,5,2,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,8,7,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,1,7,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,6,3,1,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,1,8,4,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,2,1,8,3,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,2,7,6,4,3,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,5,7,6,4,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,4,2,5,7,6,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,4,8,6,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,5,2,4,6,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,5,2,4,6,3,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,8,6,3,7,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,5,2,6,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,6,4,7,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,2,7,5,3,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,1,8,3,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,6,3,1,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,4,1,8,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,8,7,4,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,4,1,5,2,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,5,2,8,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,3,1,4,2,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,8,6,3,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,2,6,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,1,3,6,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,2,1,3,6,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,1,3,8,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,6,5,8,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,7,5,2,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,8,7,5,2,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,7,5,2,1,3,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,4,7,5,2,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,4,8,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,1,4,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,6,3,1,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,8,2,5,7,6,4,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,2,6,4,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,1,6,4,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,7,4,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,4,1,5,2,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,6,3,5,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,8,6,3,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,6,3,1,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,5,2,1,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,7,5,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,5,2,7,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,2,8,7,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,2,7,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,3,5,2,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,4,2,6,3,1,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,3,5,7,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,8,1,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,7,4,2,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,8,1,5,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,2,7,1,5,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,6,8,3,1,5,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,3,7,2,8,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,8,6,1,4,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[2,7,3,8,1,5,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,5,2,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,2,8,1,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,6,5,3,1,7,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,1,7,2,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,1,2,4,3,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,6,2,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,4,2,8,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,3,5,7,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,1,3,7,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,3,6,8,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,3,6,5,4,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,8,5,7,4,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,3,8,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,8,7,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,6,3,5,4,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,6,8,5,7,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,8,5,3,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,7,5,6,4,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,8,7,6,4,5,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,8,7,6,5,3,4,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,6,7,2,5,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,8,1,6,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,8,7,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,4,2,7,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,8,1,6,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,4,1,7,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,1,2,8,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,8,2,7,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,1,2,8,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,1,2,8,5,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,5,4,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,6,7,8,4,3,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,6,7,3,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,3,6,8,2,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,6,4,8,1,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,7,4,2,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,4,8,2,7,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,7,5,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,2,4,6,5,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,2,5,4,6,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,3,2,1,5,6,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,8,2,1,6,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,1,4,5,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,8,5,4,6,2,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,4,7,3,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,2,7,8,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,1,7,6,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,4,7,3,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,1,7,8,5,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,3,7,8,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,4,8,6,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,3,7,1,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,1,7,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,3,4,8,6,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,1,8,6,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,3,8,1,6,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,4,7,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,2,5,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,8,5,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,6,5,8,4,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,1,6,5,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,4,8,1,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,7,1,5,2,8,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,8,2,6,3,7,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,1,6,3,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,5,2,3,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,8,6,3,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,3,2,1,4,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,1,6,5,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,4,3,1,6,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,2,4,1,3,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,7,6,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,7,3,8,5,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,6,8,3,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,5,3,4,7,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,4,1,5,3,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,3,5,1,4,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,4,2,3,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,3,4,2,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,2,5,6,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,4,5,3,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,1,3,2,5,4,7,6,9,8] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,1,2,3,4,6,7,8,9,5] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,5,3,8,4,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,1,6,2,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,5,6,2,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,4,1,3,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,8,4,7,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,1,5,7,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,7,5,8,6,1,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,7,8,1,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,7,8,1,5,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,8,1,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,8,6,2,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,4,7,8,3,5,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,6,1,8,4,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,8,1,7,4,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,2,1,8,5,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,3,7,5,8,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,4,2,3,6,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,3,2,1,7,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,3,4,2,1,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,3,2,7,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,3,7,2,1,6,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[2,5,6,4,7,1,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,3,8,2,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,3,2,1,8,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,3,7,2,1,5,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,2,8,4,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,7,4,6,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,7,3,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,8,3,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,4,8,7,2,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,4,8,7,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,2,8,3,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,7,3,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,3,8,4,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,3,7,4,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,1,2,3,4,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,8,3,6,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,8,2,3,5,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,2,3,5,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,2,4,5,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,8,7,5,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,2,7,4,6,5,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,2,3,5,8,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,2,3,5,7,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,2,3,5,6,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,7,4,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,7,3,4,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,7,2,4,5,3,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,2,3,4,6,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,2,3,4,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,6,2,3,5,4,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,2,4,5,3,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,4,6,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,3,5,7,2,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,6,8,5,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,7,4,8,6,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,3,7,8,5,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,7,1,8,6,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,1,8,4,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,3,1,4,2,6,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,4,2,6,7,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,8,5,6,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,6,7,8,4,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,6,7,3,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,1,7,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,3,1,7,4,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,7,1,5,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,8,1,7,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,2,6,8,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,2,3,5,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,7,8,4,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,8,5,6,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,4,5,7,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,8,9,2,3,4,5] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,7,8,9,1,2,3,4,5,10] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[6,7,8,1,2,3,4,5,9] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,7,8,9,2,3,4,5,6] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,7,8,9,10,2,3,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[5,6,7,8,9,1,2,3,4,10] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[5,6,7,1,8,2,3,4,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,6,7,8,1,2,3,5,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,6,7,8,2,9,3,4,5] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,5,7,8,9,2,3,4,6] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,6,7,8,9,10,2,3,4,5] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[8,6,2,3,5,1,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,5,7,3,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,8,7,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,3,7,5,4,1,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,6,3,5,4,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,1,5,2,4,3,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,2,4,1,5,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,6,5,3,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,6,1,5,4,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,2,6,5,4,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,2,5,7,4,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,7,5,4,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,7,4,1,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,8,7,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,1,8,7,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,1,5,7,6,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,2,8,7,6,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,8,2,7,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,8,7,1,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,3,5,7,6,4,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,8,5,7,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,7,1,4,5,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,3,4,6,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,7,2,6,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,2,4,7,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,3,7,4,6,5,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,3,7,1,6,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,7,1,3,6,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,2,6,4,3,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,5,2,4,3,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,3,7,4,6,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,5,7,6,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,4,3,7,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,3,5,1,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,4,3,1,5,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,7,3,1,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,5,7,6,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,1,8,7,5,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,1,8,2,7,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,3,5,2,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,2,7,6,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,2,4,6,5,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,4,1,7,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,8,3,7,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,2,1,7,6,5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,1,8,7,2,6,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,1,3,7,6,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,5,4,1,7,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,8,7,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,4,3,7,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,1,3,7,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,8,1,7,6,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,6,3,2,1,7,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,3,2,4,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,2,4,3,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,1,3,2,8,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,3,2,7,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,1,3,2,4,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,2,1,4,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,2,5,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,2,5,7,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,4,2,3,5,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,8,2,3,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,2,3,5,6,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,8,2,3,1,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,2,6,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,1,5,7,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,4,2,1,8,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,8,5,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,3,6,8,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,5,2,3,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,2,1,8,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,1,7,3,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,2,3,7,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,8,5,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,2,6,1,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,6,1,5,2,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,2,5,8,4,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,5,8,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,6,2,8,4,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,1,8,4,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,6,3,5,4,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,3,4,5,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,5,7,8,4,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,7,8,5,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,1,2,6,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,6,1,5,8,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,6,4,2,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,6,4,7,8,5,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,5,8,3,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,4,7,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,7,3,4,8,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,8,5,4,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,8,5,1,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,8,5,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,8,6,4,2,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,6,4,1,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,3,5,8,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,3,1,6,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,1,5,4,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,6,2,8,3,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,1,4,8,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,5,1,2,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,8,2,6,7,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,6,4,7,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,1,5,3,8,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,3,1,5,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,2,3,8,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,3,8,4,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,7,6,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,5,2,3,4,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,1,4,2,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,6,2,8,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,8,3,4,5,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,2,3,4,5,6,7,8,1] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,2,3,4,5,6,7,1,9] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,2,3,4,5,6,1,8,9] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,3,5,6,7,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,4,6,8,9,7,5,3] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,5,3,6,7,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,4,3,5,6,7,8,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,4,6,8,10,9,7,5,3] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,6,8,5,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,5,8,6,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,8,6,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,7,4,6,5,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,8,4,6,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,6,5,8,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,7,2,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,7,5,1,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,7,6,5,8,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,7,8,5,2,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,8,2,7,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,4,1,7,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,2,5,8,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,7,5,1,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,6,4,1,2,8,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,4,3,5,7,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,8,7,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,1,7,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,1,3,8,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,3,8,2,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,2,4,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,8,2,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,1,6,7,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,2,6,5,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,4,8,7,1,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,2,6,8,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,6,8,1,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,2,5,8,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,8,3,7,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,8,3,4,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,8,1,3,4,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,5,6,3,4,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,3,5,4,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,3,5,4,7,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,2,5,8,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,8,1,7,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,8,5,4,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,7,4,8,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,8,4,3,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,8,3,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,6,3,5,8,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,5,6,8,1,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,8,1,3,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,8,7,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,6,8,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,6,8,5,3,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,6,7,5,1,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,3,2,5,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,8,1,5,4,7,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,7,6,2,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,8,3,2,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,4,8,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,4,8,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,7,5,3,2,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,4,8,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,4,8,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,5,3,8,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,3,6,8,5,7,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,2,3,8,6,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,4,1,2,6,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,3,7,1,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,8,4,1,6,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,2,1,8,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,7,5,1,8,3,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,7,4,3,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,7,2,4,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,3,2,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,6,3,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,6,3,5,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,1,7,4,2,3,5,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,3,8,7,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,3,2,5,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,5,3,7,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,8,3,7,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,1,7,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,4,1,3,5,8,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,3,7,1,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,3,7,1,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,7,4,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,7,4,1,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,5,2,1,4,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,7,3,1,5,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[4,8,6,5,1,2,7,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,5,1,2,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,1,7,6,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,7,6,5,1,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,6,7,1,2,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,6,1,8,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,6,1,3,8,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,6,1,4,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,5,6,1,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,4,7,2,1,5,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[1,7,3,4,5,2,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,5,4,3,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,7,4,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,3,8,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,4,6,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,4,2,7,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,8,3,5,7,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,8,6,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,5,6,7,8,9,10,3] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,5,6,7,9,1,10,8] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,5,1,6,7,8,9,10,4] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,5,6,8,1,9,10,7] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,6,1,7,8,9,10,5] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,5,7,1,8,9,10,6] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,1,2,5,6,7,8,9,10,3] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,3,1,5,6,7,8,10,2,9] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,6,1,5,3,7,8,9,10,4] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,3,4,1,6,7,9,2,10,8] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,8,1,6,7,4,9,10,5] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,3,4,5,1,8,2,9,10,7] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,10,1,7,8,9,5,6] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,4,5,6,7,8,1,9] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,4,3,2,8,1,7,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,2,4,3,8,1,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,3,1,6,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,4,6,10,1,3,5,9] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,10,7,9,4,6,8,1,3,5] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,5,2,4,8,10,1,3,7,9] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,8,5,7,4,6,10,1,3,9] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,5,2,4,7,9,6,8,1,3] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,9,2,8,5,7,4,6,1,3] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,5,2,4,10,1,3,9] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,7,2,6,5,9,4,8,1,3] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,10,5,9,8,7,2,4,1,3] => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[4,10,3,9,2,6,8,1,5,7] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,10,7,9,2,6,8,1,5] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,2,5,4,8,10,1,7,9] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,10,2,5,9,4,8,1,7] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,8,2,4,7,6,10,1,9] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,7,10,2,4,6,9,8,1] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,9,3,5,8,2,4,7,6,1] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,6,2,5,4,10,1,9] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,5,10,2,4,9,8,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,10,9,8,2,5,7,4,1] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,9,8,7,3,6,2,5,4,1] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,3,8,2,7,6,10,1,9] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,3,7,10,2,6,9,8,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,10,4,9,3,8,2,7,6,1] => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[4,8,3,7,6,5,2,10,1,9] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,6,5,10,2,9,8,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,10,3,5,9,8,7,2,1] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,9,4,8,3,7,6,5,2,1] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,6,5,4,3,10,2,9,8,1] => [2,2,2,1,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,4,10,3,9,8,7,2,1] => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[5,10,4,9,8,7,6,3,2,1] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,2,8,1,5,7,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,2,5,4,8,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,3,2,6,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,2,6,3,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,4,6,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,3,2,1,7,4,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,7,5,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,7,2,8,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,5,7,2,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,3,8,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,8,7,3,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,4,1,7,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,1,6,4,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,4,3,5,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,8,6,3,7,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,5,3,1,4,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,6,3,1,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,8,5,3,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,2,4,1,8,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,4,7,8,5,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,6,7,3,1,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,3,2,6,4,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,5,3,1,4,6,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,6,4,3,7,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,4,3,7,8,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,7,5,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,3,1,4,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,3,1,6,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,6,7,1,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,8,1,4,6,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,7,5,4,6,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,3,4,1,6,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,4,2,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,5,2,3,7,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,8,6,3,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,2,3,8,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,5,2,8,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,3,6,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,3,7,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,3,1,5,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,2,5,7,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,2,4,7,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,2,8,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,8,7,5,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,3,5,7,6,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,1,5,7,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,8,7,5,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,8,7,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,1,5,7,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,1,4,5,7,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,8,7,5,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,5,1,6,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,5,7,2,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,7,6,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,1,6,4,7,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,6,2,7,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,1,5,7,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,6,3,1,2,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,4,5,2,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,4,6,2,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,5,3,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,1,4,2,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,4,8,1,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,1,5,3,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,8,1,2,6,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,1,5,6,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,8,7,2,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,7,6,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,2,5,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,5,8,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,5,7,2,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,1,2,6,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,2,7,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,2,4,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,4,2,5,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,7,8,4,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,6,8,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,2,5,7,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,1,2,6,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,5,7,6,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,8,5,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,2,7,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,7,6,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,6,1,5,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,9,3,4,5,6,7,8,2] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,2,3,4,5,6,7,8,1,10] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,9,8,4,5,6,7,3,2] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,10,3,4,5,6,7,8,9,2] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,10,9,4,5,6,7,8,3,2] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,6,3,1,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,3,4,5,2,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,8,2,5,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,6,1,4,2,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,2,4,6,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,8,4,1,5,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,3,2,8,1,5,4,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,1,7,2,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,3,2,5,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,3,8,4,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,5,7,8,1,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,1,6,8,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,7,6,8,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,8,4,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,3,5,4,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,2,4,6,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,8,3,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,8,6,3,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,5,3,7,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,5,2,6,7,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,6,5,3,7,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,8,4,6,3,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,8,6,4,7,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,2,7,4,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,3,6,2,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,2,3,4,8,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,4,2,8,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,1,3,2,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,3,7,8,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,7,2,1,8,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,2,1,3,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,3,1,5,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,4,2,5,1,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,4,7,5,2,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,7,5,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,5,3,6,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,3,4,1,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,8,6,4,7,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,3,8,6,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,7,5,8,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,4,7,8,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,2,3,1,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,8,1,4,6,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,7,4,1,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,7,5,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,7,1,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,1,4,2,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,1,3,2,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,7,5,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,4,3,1,5,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,1,4,3,5,6,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,8,4,7,3,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,6,1,2,8,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,7,4,3,8,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,6,2,3,1,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,2,5,3,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,6,1,8,7,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,7,5,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,7,5,2,8,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,8,2,3,6,1,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,7,1,2,5,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,4,1,5,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,1,5,7,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,6,7,5,2,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,3,7,5,8,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,1,8,5,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,5,3,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,5,7,3,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,5,8,3,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,5,3,4,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,6,8,3,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,8,7,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,3,4,5,6,7,10,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,7,2,3,4,5,6,9,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,9,1,2,3,4,5,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,8,5,2,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,6,7,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,3,7,6,1,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,8,6,1,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,7,6,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,6,8,5,2,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,6,7,8,1,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,8,1,2,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,6,1,2,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,8,7,1,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,8,7,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,3,8,1,7,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,4,1,7,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,7,8,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,4,8,1,3,7,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,8,5,1,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,3,7,5,2,4,8,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,7,4,5,3,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,4,6,1,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,4,5,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,3,1,5,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,7,5,6,4,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,5,3,8,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,5,7,8,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,7,4,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,4,1,3,8,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,3,4,2,7,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,8,2,5,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,7,2,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,2,4,6,1,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,6,5,2,4,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,6,7,5,2,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,7,8,1,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,7,8,1,4,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,6,8,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,2,8,6,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,8,6,7,2,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,6,3,1,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,3,6,2,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,3,8,2,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,7,2,1,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,7,8,1,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,4,8,2,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,4,6,2,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,7,3,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,2,7,3,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,6,2,8,3,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,6,1,7,2,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,6,3,8,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,3,7,1,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,8,5,4,1,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,5,2,8,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,4,1,3,2,6,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,4,1,5,2,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,3,8,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,4,3,1,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,2,7,1,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,4,1,2,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,1,3,8,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,1,2,7,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,3,5,2,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,8,6,3,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,2,5,6,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,4,1,6,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,2,1,6,4,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,1,7,4,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,6,1,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,4,1,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,2,6,1,3,7,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,6,3,2,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,5,4,6,3,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,6,5,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,7,5,6,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,6,5,4,3,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,1,5,6,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,5,3,2,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,5,4,2,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,4,6,5,2,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,3,1,7,6,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,6,3,2,8,5,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,6,3,8,7,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,8,7,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,5,4,1,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,4,5,1,2,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,1,4,8,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,3,2,8,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,4,2,8,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,3,8,5,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,7,2,8,5,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,2,4,8,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,3,1,2,8,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,4,1,8,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,3,4,6,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,7,4,3,1,6,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,1,3,4,5,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,8,2,5,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,4,1,2,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,8,6,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,5,1,2,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,5,1,8,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,3,1,8,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,8,3,7,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,8,4,3,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,3,5,6,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,8,4,2,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,8,2,4,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,4,3,1,7,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,4,2,3,1,8,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,6,7,1,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,6,5,8,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,6,4,8,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,5,3,8,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,6,4,8,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,5,3,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,4,3,8,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,5,4,8,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,6,4,7,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,6,4,8,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,7,4,8,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,8,5,7,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,3,2,6,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,7,3,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,3,8,1,5,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,4,2,6,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,7,3,5,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,7,3,5,2,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,3,5,1,2,6,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,3,1,5,4,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,4,1,5,3,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,5,4,1,3,2,7] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,3,8,7,4,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,8,7,4,6,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,7,4,1,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,3,1,2,7,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,3,1,5,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,5,4,1,3,7,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,8,7,4,6,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,7,6,5,1,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,8,7,5,1,6,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,7,5,6,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,1,3,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,7,2,1,3,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,7,3,5,2,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,5,8,6,4,2,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,4,1,5,2,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,1,7,5,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,6,1,2,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,6,5,1,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,6,5,2,1,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,8,7,5,1,6,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,1,8,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,3,1,6,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,8,4,6,1,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,6,4,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,6,5,1,3,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,6,3,4,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,6,4,8,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,8,2,4,1,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,7,5,4,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,8,4,2,1,7,5,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[5,2,6,4,3,8,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,1,4,8,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,7,6,2,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,6,4,2,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,6,3,8,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,8,6,4,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,8,2,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,2,4,8,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,4,3,8,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,7,3,8,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,2,5,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,1,4,3,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,4,8,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,4,3,8,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,5,6,8,2,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,5,6,7,9,8,2] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,6,7,9,8,1,10] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,3,4,5,6,8,1,2,9] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,7,6,8,1,9] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,8,4,5,6,7,9,2,3] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,5,6,8,7,9,2] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,5,6,7,8,10,9,2] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,6,4,2,3,5,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,7,2,3,4,5,6] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,6,2,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,7,2,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,6,2,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,7,6,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,7,6,4,5,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,2,3,7,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,2,3,8,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,8,6,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,8,2,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,7,5,2,3,4,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,8,6,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,8,4,6,1,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,3,8,6,1,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,3,5,8,1,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,5,8,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,8,6,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,6,1,3,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,6,1,4,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,4,8,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,7,2,6,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,6,8,5,3,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,1,7,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,8,1,5,7,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,1,5,7,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,8,5,2,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,7,2,6,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,6,8,5,4,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,8,5,2,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,1,8,2,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,4,1,5,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,6,5,1,3,7,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,3,5,6,7,1,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,4,7,1,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,5,4,6,1,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,4,6,1,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,4,1,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,7,4,1,3,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,6,3,5,7,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,3,5,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,4,2,5,7,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,1,5,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,2,5,7,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,2,5,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,1,5,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,6,5,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,4,2,6,1,8,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,3,1,8,6,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,2,7,1,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,4,8,2,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,5,4,1,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,5,1,8,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,3,8,2,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,3,2,6,1,8,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,2,6,4,1,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,5,3,1,8,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,4,1,8,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,5,8,2,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,3,7,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,5,2,8,6,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,4,5,9,7,8,6] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,9,6,7,8,5] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,9,5,6,7,8,4] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,9,4,5,6,7,8,3] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,5,6,10,8,9,7] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,9,7,6,8,5] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,5,10,7,8,9,6] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,8,6,4,5,7,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,9,6,5,7,8,4] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,10,6,7,8,9,5] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,8,5,3,4,6,7,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,9,5,4,6,7,8,3] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,10,5,6,7,8,9,4] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,9,4,3,5,6,7,8,2] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,10,4,5,6,7,8,9,3] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,3,2,4,5,6,7,8,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,2,3,4,5,6,7,8,9,1] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,5,6,7,8,9,4,2,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,4,1,6,3,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,6,1,3,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,3,5,7,4,6,9,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,6,4,7,5,9,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,6,8,5,7,10,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,3,4,6,8,5,7,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,7,5,8,6,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,7,5,8,6,10,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,3,5,7,4,6,9,8,10] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,5,7,3,4,6,9,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,4,5,7,3,6,9,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,6,3,4,7,5,9,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,5,6,3,7,4,9,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,6,4,7,5,9,8,10] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,2,6,4,1,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,6,5,3,1,4,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,8,6,2,3,1,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,5,2,3,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,4,7,6,8,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,8,7,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,6,3,2,4,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,4,1,8,7,3,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,4,2,7,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,7,4,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,8,4,1,3,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,2,3,8,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,1,3,2,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,8,7,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,6,2,5,3,4] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,5,2,4,7,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,2,4,8,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,1,4,7,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,4,1,3,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,1,6,3,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,9,4,5,6,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,9,1,2,3,5,6,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,9,1,2,4,5,6,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,8,1,9,2,3,4,5,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,10,1,2,3,4,5,6,8,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[6,10,1,2,3,4,5,7,8,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,8,1,2,3,9,5,6,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,8,1,2,4,5,9,6,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,10,1,2,3,5,6,7,8,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,10,1,2,4,5,6,7,8,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,8,2,3,4,5,6,7,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,4,6,1,3,2,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,8,6,3,2,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,7,2,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,6,7,3,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,7,5,3,6,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,8,3,6,1,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,3,1,7,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,1,6,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,6,1,2,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,5,1,2,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,8,5,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,8,1,2,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,7,1,4,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,2,1,8,6,4,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[9,8,7,5,6,4,3,2,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[2,1,9,8,6,7,5,4,3] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[10,9,8,7,5,6,4,3,2,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[9,8,7,5,4,6,3,2,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[9,8,7,4,6,5,3,2,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[2,1,9,8,6,5,7,4,3] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,9,8,5,7,6,4,3] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,10,9,8,6,7,5,4,3] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,7,6,5,4,3,2,9] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,9,8,7,6,5,4,3,2,10] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,1,8,7,6,5,4,3,9] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,8,3,7,2,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,8,5,3,6,2,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,8,5,3,6,2,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,8,4,3,2,6,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,8,2,1,7,6] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,8,3,2,1,7,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,8,4,3,2,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,7,3,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,8,2,1,6,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,4,3,2,5,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,7,8,1,2,9,3] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,5,6,7,1,2,8,9,3] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,5,6,1,2,7,8,9,3] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,5,1,2,6,7,8,9,3] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,4,2,3,5,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,6,1,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,8,6,4,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,7,4,8,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,3,2,5,4,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,3,4,5,8,1,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,1,5,3,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,6,4,7,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,8,6,4,5,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,5,7,3,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,3,4,7,1,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,4,7,8,2,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,1,4,7,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,1,3,6,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,5,2,7,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,5,2,6,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,2,7,4,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,7,1,3,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,6,2,8,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,2,3,7,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,3,7,8,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,3,6,7,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,3,7,2,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,8,4,5,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,8,4,6,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,5,6,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,6,5,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,3,2,6,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,5,8,1,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,7,8,3,1,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,3,8,2,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,2,1,8,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,5,1,6,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,4,5,8,2,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,5,2,8,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,4,5,1,6,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,4,1,6,3,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,4,8,6,3,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,8,6,3,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,8,7,5,3,6,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,7,4,1,6,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,1,6,3,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,2,6,5,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,5,6,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,8,4,7,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,4,8,6,3,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,5,6,7,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,4,8,6,2,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,8,2,7,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,4,8,2,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,1,4,7,2,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,8,2,7,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,4,8,2,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,4,1,6,2,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,1,4,7,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,4,1,6,3,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,4,1,6,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,3,6,7,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,5,6,7,3,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,4,1,6,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,1,5,7,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,2,5,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,2,6,5,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,2,3,4,5,9,6] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,8,9,1,3,4,5,6,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,8,9,10,1,3,4,5,6,7] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,1,8,2,9,3,4,5,6] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,1,7,2,8,3,9,4,5] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,1,6,2,7,3,8,4,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,1,9,2,10,3,4,5,6,7] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,1,8,2,3,9,4,5,6] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,1,8,2,9,3,10,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[6,1,7,2,8,3,4,9,5] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,1,6,2,7,3,9,4,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,1,6,2,7,3,8,4,10,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,1,5,2,7,3,8,6,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,5,2,6,3,8,7,10,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[5,1,3,7,4,8,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,3,4,7,8,2,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,8,7,4,3,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,7,8,3,4,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,8,3,7,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,8,2,3,4,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,7,4,6,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,5,8,1,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,8,1,4,5,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,1,6,3,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,3,7,5,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,8,5,3,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,4,7,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,5,8,3,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,7,3,1,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,5,1,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,8,4,1,5,2,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,7,2,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,4,2,3,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,8,5,4,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,8,2,7,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,4,3,8,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,3,4,5,6,2,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,6,2,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,8,3,6,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,8,4,5,3,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,5,6,3,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,8,5,4,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,2,8,7,5,4,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,2,8,4,3,7,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,4,3,1,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,6,8,7,2,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,7,6,8,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,2,6,8,4,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,6,4,7,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,8,7,6,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,8,2,7,6,1,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,5,4,8,3,7,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,8,5,1,3,7,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,7,2,6,5,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,7,5,1,8,4,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,2,1,6,4,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,6,4,8,1,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,6,2,7,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,8,7,3,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,8,6,7,1,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,5,6,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,8,6,7,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,7,6,1,2,8,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,5,6,1,2,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,7,5,6,2,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,8,6,7,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,8,6,7,2,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,8,6,7,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,8,7,1,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,5,6,2,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,7,1,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,6,4,7,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,5,7,8,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,7,2,1,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,6,1,7,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,5,6,4,7,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,4,5,6,7,2,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,5,2,7,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,7,5,2,1,4,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,6,5,1,7,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,7,3,2,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,6,7,2,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,4,7,1,3,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,6,5,3,7,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,7,2,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,4,5,6,8,9,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,3,4,5,6,7,9,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,3,4,5,6,7,9,10,8] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,1,4,5,6,8,9,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,2,4,5,6,8,9,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,1,4,5,6,7,9,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,2,4,5,6,7,9,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,3,4,5,6,7,8,10,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,6,2,5,4,8,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,5,8,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,2,1,8,4,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,3,1,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,7,4,3,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,5,8,1,6,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,5,7,1,4,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,6,2,1,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,4,3,7,6,5,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,4,2,7,5,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,4,2,7,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,6,5,1,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,2,4,7,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,2,3,7,4,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,5,4,3,2,7] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,4,5,8,3,1,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,4,6,1,5,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,8,5,1,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,3,2,5,4,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,7,3,8,2,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,4,8,3,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,3,5,8,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,6,4,8,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,2,4,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,8,7,6,4,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,8,7,5,4,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,7,6,5,4,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,1,6,5,3,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,1,6,5,3,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,1,7,6,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,1,8,6,3,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,7,6,3,2,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,8,5,3,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,7,5,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,6,5,3,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,6,1,4,3,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,6,1,4,3,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,7,1,4,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,1,4,3,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,6,1,4,3,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,5,1,4,3,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,5,1,4,3,2,6] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,6,5,1,4,3,2,7] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,8,6,3,4,2,5,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,4,5,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,3,8,4,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,7,6,1,4,3,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,3,8,4,1,2,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,7,6,1,4,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,3,4,7,1,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,7,1,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,5,3,1,6,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,4,7,8,5,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,3,7,6,4,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,1,7,2,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,1,4,2,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,7,5,4,3,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,8,3,7,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,5,3,2,6,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,1,5,4,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,7,5,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,1,2,8,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,2,6,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,6,8,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,7,8,4,6,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,7,5,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,4,1,3,2,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,8,4,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,5,7,8,2,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,7,5,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,1,8,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,1,6,5,2,7,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,4,7,8,2,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,5,7,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,6,7,8,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,6,7,8,2,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,3,7,8,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,6,5,2,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,4,6,3,2,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,1,6,7,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,4,7,6,3,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,4,1,8,5,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,4,1,5,7,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,4,3,7,1,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,4,8,3,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,8,7,4,3,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,7,5,8,4,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,4,7,8,2,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,3,7,8,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,1,7,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,3,7,8,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,3,1,5,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,4,6,1,3,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,6,5,1,2,7,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,3,7,8,2,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,3,4,5,8,9,10,6] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[6,7,1,2,3,4,8,9,5] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,1,2,3,4,7,8,9,10,5] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[5,1,2,3,6,7,8,9,10,4] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,5,2,4,3,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,5,7,2,1,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,6,3,8,4,5,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,4,2,6,3,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[9,7,6,5,4,3,1,2,8] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,4,3,5,6,7,8,9,1] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,8,4,7,5,6,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,8,6,4,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,8,6,2,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,7,5,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,8,6,1,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,5,1,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,3,5,1,6,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,4,6,3,7,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,7,8,9,2,1,3] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,7,8,9,2,1,3,4] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,6,2,7,5,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,1,4,5,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,2,5,6,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,2,1,5,4,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,5,2,6,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,7,8,1,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,4,3,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,5,3,4,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,2,6,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,6,1,4,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,2,7,6,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,1,6,5,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,3,8,2,6,5,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,1,3,8,6,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,3,7,6,5,4,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,4,1,8,7,3,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,6,1,5,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,5,1,7,8,2,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,7,8,2,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,7,1,5,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,6,4,7,1,5,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,4,6,2,1,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,4,8,3,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,4,8,2,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,8,2,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,2,6,3,8,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,1,6,2,8,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,6,1,7,3,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,6,7,8,3,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,6,1,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,6,7,2,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,6,8,3,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,2,4,8,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,4,7,5,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,1,3,4,5,6,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,6,7,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,2,8,1,5,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,3,1,6,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,3,1,6,2,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,1,8,6,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,2,4,8,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,2,8,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,7,4,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,6,3,8,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,7,3,8,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,7,3,5,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,3,2,1,8,6,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,2,1,5,3,6,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,4,3,2,1,9,7,5] => [2,2,2,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9]] => [[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,3,1,8,6,4,2,9] => [3,2,2,2] => [[1,2,3],[4,5],[6,7],[8,9]] => [[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,8,5,2,9,6,3] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => [[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[5,3,1,6,4,2,7,8,9] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,5,2,6,3,7,8,9] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,4,2,5,6,7,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,7,5,4,3,2,1,10,8,6] => [2,2,2,1,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,3,1,8,6,4,2,9,10] => [4,2,2,2] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,4,1,8,5,2,9,6,3,10] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,3,1,6,4,2,7,8,9,10] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,1,6,2,7,3,8,4,9,10] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,1,5,2,6,3,7,8,9,10] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,1,4,2,5,6,7,8,9,10] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[6,2,5,4,1,8,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,2,1,8,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,2,1,8,7,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,4,3,2,7,6,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,5,8,4,7,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,7,4,8,6,1,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,3,2,8,6,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,3,7,5,2,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,8,4,3,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,8,5,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,5,4,7,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,4,8,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,2,8,6,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,4,8,6,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,6,5,4,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,3,6,5,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,3,7,5,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,7,8,5,4,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,4,3,2,1,5] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,6,1,4,8,7,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,3,7,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,1,8,7,4,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,1,8,7,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,5,1,8,3,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,1,5,8,4,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,1,7,5,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,5,2,8,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,6,4,2,8,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,1,5,8,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,6,1,2,7,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,4,3,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,4,3,8,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,5,3,8,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,2,4,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,4,8,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,4,1,3,7,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,3,6,1,7,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,4,5,8,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,6,1,2,7,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,5,4,7,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,5,2,1,4,3,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,4,5,6,7,3] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,3,2,7,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,6,7,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,3,7,4,6,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,9,2,3,4,5,6,7,8,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,7,2,3,4,5,6,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,2,6,5,4,3,1,7] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,2,7,6,4,5,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,3,5,4,2,6,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,6,7,2,1,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,8,2,5,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,6,1,3,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,6,2,7,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,1,5,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,2,1,8,5,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,6,7,8,3,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,5,6,7,8,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,8,4,5,1,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,8,3,2,7,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,2,3,7,1,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,1,7,4,5,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,3,7,1,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,8,4,6,2,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,5,7,8,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,5,4,7,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,2,5,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,6,2,1,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,6,1,2,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,8,5,2,7,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,5,2,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,5,4,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,5,3,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,3,5,4,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,2,7,8,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,1,7,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,1,2,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,5,1,7,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,4,8,5,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,7,2,5,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,5,8,1,7,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,5,6,8,7,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,5,6,7,9,8,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,3,4,5,7,6,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,2,3,4,5,6,7,1,8] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,2,7,3,4,6,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,8,6,4,7,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,8,6,7,2,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,4,8,5,3,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,1,3,6,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,4,6,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,7,3,8,5,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,5,3,4,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,3,6,4,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,8,3,1,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,2,5,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,7,3,4,6,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,5,7,2,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,8,6,1,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,6,4,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,1,4,3,6,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,4,1,3,7,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,3,7,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,8,5,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,7,3,1,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,5,3,8,1,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,7,3,1,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,2,6,8,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,4,7,1,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,6,2,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,6,2,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,3,7,1,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,6,3,8,1,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,5,3,1,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,5,3,6,8,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,7,2,1,5,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,6,1,4,8,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,2,1,4,6,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,5,1,7,4,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,6,4,3,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,6,3,4,1,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,3,5,8,6,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,3,7,5,1,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,7,2,1,5,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[1,8,2,3,7,5,6,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,3,6,7,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,5,6,1,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,8,2,4,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,8,5,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,4,2,5,1,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,5,6,4,1,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,3,2,5,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,7,1,4,5,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,7,4,3,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,5,2,7,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,5,6,8,3,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,4,8,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,4,5,3,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,8,4,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,2,4,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,2,5,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,3,6,7,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,5,3,4,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,3,4,5,6,7,8,9,1,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,3,4,5,6,7,8,1,10,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,3,4,5,6,7,1,9,10,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,3,4,5,6,1,8,9,10,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,3,4,5,1,7,8,9,10,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,3,4,1,6,7,8,9,10,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,3,1,5,6,7,8,9,10,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,9,4,5,6,7,8,1,2,3] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,3,8,5,6,7,1,9,2,4] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,3,4,7,6,1,8,9,2,5] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,3,4,5,1,7,8,9,2,6] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,3,4,1,6,10,8,9,2,7] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,3,1,5,6,7,10,9,2,8] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,4,5,6,7,8,10,2,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,1,5,6,2,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,1,4,6,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,6,1,3,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,7,2,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,5,1,3,8,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,6,2,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,6,1,2,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,3,5,7,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,3,8,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,3,4,8,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,5,2,8,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,1,5,6,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,3,6,7,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,3,7,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,6,7,1,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,8,4,7,1,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,4,8,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,8,2,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,7,2,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,4,7,8,1,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,4,7,2,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,7,8,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,6,7,8,1,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,3,8,5,1,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,8,5,6,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,6,7,5,1,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,4,6,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,4,7,1,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,7,1,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,5,7,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,7,4,6,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,4,1,8,3,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,5,1,4,8,3,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,1,3,8,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,5,4,2,8,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,8,7,4,2,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,4,3,1,5,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,5,1,4,6,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,5,1,6,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,4,1,3,6,7,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,1,7,5,6,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,7,6,5,3,1,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,1,4,5,7,6,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,1,8,5,7,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,4,7,6,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,7,4,2,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,3,1,6,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,4,2,3,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,8,7,4,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,2,4,3,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,7,4,1,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,7,6,2,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,1,8,7,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,7,3,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,8,7,2,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,4,6,7,2,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,2,6,7,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,8,2,5,1,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,5,7,4,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,1,7,5,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,5,6,4,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,8,5,4,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,4,1,7,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,1,5,7,6,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,2,7,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,1,6,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,4,7,3,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,7,2,1,6,5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,8,4,7,6,5,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,8,1,7,4,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,1,3,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,3,4,5,6,9,1,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,2,3,9,5,6,7,1,4] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,2,9,4,5,6,7,1,3] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,3,4,5,6,7,1,2] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,2,3,4,5,6,7,10,1,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,2,3,1,9,8,7,6,5] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,9,8,6,7,5,4] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[9,2,10,4,5,6,7,8,1,3] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,7,6,8,1,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,1,2,5,6,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,2,1,4,6,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,6,5,2,7,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,3,8,5,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,6,7,1,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,5,4,2,7,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,6,4,7,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,8,6,5,2,7,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,5,2,6,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,3,2,4,8,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,4,6,1,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,3,4,6,8,1,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,4,6,7,5,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,3,4,7,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,6,1,3,4,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,5,7,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,4,6,8,2,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,6,8,3,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,8,1,7,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,2,8,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,2,6,7,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,6,1,2,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,6,5,2,7,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,6,4,7,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,6,4,8,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,3,5,1,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,5,7,4,1,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,5,6,8,1,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,5,6,2,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,8,4,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,8,4,7,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,3,2,8,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,1,4,2,8,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,1,4,3,8,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,3,5,2,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,4,8,1,5,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,4,2,5,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,2,5,8,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,5,8,3,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,8,5,6,2,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,8,1,5,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,8,3,1,5,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,8,3,7,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,5,8,7,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,3,7,2,1,4] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,8,5,3,7,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,8,6,5,3,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,4,8,5,6,3,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,1,3,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,4,1,5,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,8,2,5,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,3,8,1,5,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,8,7,3,2,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,7,4,8,6,3,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,2,3,1,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,8,3,5,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,3,8,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,6,2,8,4,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,8,1,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,8,1,4,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,8,2,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,2,3,1,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,5,4,2,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,6,3,5,1,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,4,7,2,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,4,3,7,1,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,7,2,4,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,2,8,4,3,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,6,5,8,4,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,2,7,8,3,5,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,4,6,7,8,3] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,5,2,8,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,4,8,2,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,4,1,7,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,4,6,3,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,8,6,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,8,2,4,3,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,4,8,3,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,8,2,3,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,2,4,8,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,2,3,8,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,3,2,5,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,3,2,8,4,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,2,8,4,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,2,5,8,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,2,5,8,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,2,6,8,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,2,6,4,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,2,6,7,3,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,6,3,7,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,6,2,3,8,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,2,8,3,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,6,2,8,3,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,2,3,8,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,2,5,8,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,2,5,8,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,10,4,5,6,7,8,9,1,3] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,8,4,5,6,7,1,2,10,3] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,10,9,5,6,7,8,1,3,4] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,8,5,6,7,1,2,10,4] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,7,4,5,6,1,8,2,10,3] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,10,4,9,6,7,8,1,3,5] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,10,8,5,6,7,1,9,3,4] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,3,8,5,4,7,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,2,4,5,6,7,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,4,2,3,5,6,7,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,2,4,5,6,7,8,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,4,6,3,8,7,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,6,8,7,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,3,8,7,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,5,8,7,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,8,5,7,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,8,5,7,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,8,3,7,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,8,1,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,5,8,3,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,5,8,1,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,8,5,1,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,8,7,3,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,8,7,1,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,8,7,1,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,8,5,1,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,5,1,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,5,3,8,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,5,8,3,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,8,5,3,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,8,7,3,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,8,7,5,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,5,2,1,3,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,4,7,5,8,2,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,5,3,2,7,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,3,5,8,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,7,8,5,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,7,8,4,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,2,7,8,5,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,1,7,4,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,7,1,6,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,7,2,6,5,1,4,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,8,3,2,1,7,6,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[5,4,3,8,1,7,6,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,5,3,8,7,1,4,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[4,3,8,2,7,6,5,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,2,7,6,5,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,8,2,6,5,4,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,8,7,6,2,5,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,3,7,2,1,6,5] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[8,6,3,1,7,5,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,6,3,7,1,5,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,3,7,6,2,5,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,2,7,6,4,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,4,2,1,7,6,5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,6,4,2,5,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,2,7,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,2,4,5,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,6,4,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,4,6,3,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,2,3,7,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,8,6,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,8,2,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,8,2,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,3,8,5,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,4,2,5,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,8,5,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,3,8,6,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,8,2,7,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,2,5,6,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,3,2,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,3,6,8,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,3,6,8,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,3,2,5,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,5,8,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,3,4,5,6,7,9,1] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,2,3,4,5,6,9,8,1] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,2,3,4,5,9,7,8,1] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,2,3,4,9,6,7,8,1] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,3,9,5,6,7,8,1] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,9,4,5,6,7,8,1] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,9,3,4,5,6,7,8,1] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,2,3,4,5,6,7,8,10,1] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,2,3,4,5,1,8,9,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,2,3,4,5,6,7,10,9,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,2,3,4,1,7,9,8,6] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,2,3,4,5,6,10,8,9,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,2,3,5,8,1,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,1,6,9,7,8,5] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,2,3,4,5,10,7,8,9,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,2,4,8,1,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,5,9,6,7,8,4] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,2,3,4,10,6,7,8,9,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,4,9,5,6,7,8,3] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,3,10,5,6,7,8,9,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,9,4,5,6,7,8,2] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,10,4,5,6,7,8,9,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,10,3,4,5,6,7,8,9,1] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,5,6,4,7,8,1,9] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,6,7,5,8,9,2] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,6,7,5,8,9,1,10] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,6,5,7,4,8,1,9] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,6,7,1,8,4,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,6,4,5,7,3,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,3,4,7,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,5,6,8,4,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,7,4,5,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,7,6,8,5,9,2] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,6,7,8,2,9,5] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,4,5,7,8,6,9,10,2] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,5,6,3,4,2,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,6,4,2,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,7,4,6,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,3,6,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,1,8,5,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,5,8,2,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,2,1,8,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,2,1,8,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,3,6,2,1,7,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,7,3,1,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,8,3,2,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,4,6,3,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,1,2,4,8,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,2,3,1,8,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,2,4,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,6,5,3,4,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,6,5,4,1,3,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,1,7,8,5,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,8,5,1,4,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,1,8,4,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,1,6,5,2,3,4] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,7,8,2,4,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,2,5,4,3,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,7,8,2,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,7,3,6,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,6,8,4,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,2,7,3,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,3,5,1,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,6,1,5,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,5,7,8,4,6,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,6,2,1,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,7,4,5,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,4,7,5,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,6,3,8,4,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,4,2,1,6,7,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,8,4,7,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,5,1,4,8,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,6,5,3,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,2,7,3,6,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,7,3,8,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,8,4,2,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,4,1,8,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,8,2,7,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,3,2,6,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,2,5,1,7,6,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,3,8,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,2,7,8,6,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,6,1,4,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,7,8,6,1,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,8,6,5,2,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,2,7,8,6,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,5,3,1,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,6,3,2,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,5,4,1,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,7,5,3,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,3,1,5,2,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,6,4,3,2,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,3,1,8,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,8,6,4,3,1,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,1,7,8,6,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,7,3,8,6,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,5,3,7,2,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,1,5,8,2,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,5,8,3,6,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,2,6,5,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,4,8,2,6,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,8,1,6,5,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,5,7,8,1,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,4,1,2,6,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,8,5,2,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,4,1,5,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,4,5,1,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,2,8,5,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,3,5,7,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,3,8,6,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,4,8,5,3,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,5,6,1,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,6,4,7,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,8,5,7,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,6,4,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,6,7,5,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,5,8,1,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,3,5,8,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,7,2,6,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,5,8,1,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,6,2,1,5,8,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,1,3,7,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,4,2,7,6,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,8,4,6,7,1,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,1,4,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,6,1,2,5,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,8,7,1,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,8,4,5,6,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,1,4,3,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,2,8,1,5,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,1,3,5,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,1,8,2,5,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,8,7,2,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,7,2,8,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,3,2,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,3,2,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,8,7,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,7,1,8,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,3,1,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,1,3,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,1,3,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,6,8,7,1,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,4,7,1,2,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,1,6,8,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,6,8,1,4,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,7,6,8,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,8,3,1,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,3,1,2,8,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,8,4,1,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,5,2,4,1,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,3,1,8,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,1,3,7,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,7,8,5,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,7,8,5,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,8,5,2,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,3,5,8,4,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,5,1,3,2,7,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,3,2,4,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,5,6,1,7,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,1,2,6,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,7,8,2,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,8,6,2,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,4,1,3,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,8,2,3,7,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,3,4,8,1,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,4,6,7,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,3,5,7,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,6,1,8,7,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,1,7,6,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,1,6,5,7,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,1,5,4,6,7,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,4,8,5,6,2,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,5,2,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,4,5,1,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,2,4,1,5,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,3,2,7,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,3,2,1,6,7,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,2,3,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,2,3,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,5,3,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,6,3,7,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,5,3,8,2,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,6,8,3,7,1,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,8,6,7,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,6,3,4,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,8,5,1,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,3,8,4,1,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,3,5,7,1,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,7,2,4,3,5,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,2,4,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,2,4,6,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,2,4,6,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,7,4,2,5,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,1,4,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,3,5,7,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,7,4,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,7,4,6,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,5,1,7,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,2,6,7,1,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,6,7,4,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,6,2,7,3,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,6,7,2,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,2,8,7,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,7,6,5,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,4,2,6,3,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,8,6,4,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,5,6,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,6,3,2,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,4,2,1,7,8,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,1,7,6,3,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,5,2,7,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,6,7,2,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,5,3,1,7,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,3,8,7,1,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,7,3,4,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,6,7,4,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,5,2,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,3,2,6,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,3,7,2,6,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,6,7,2,4,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,8,2,7,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,8,3,7,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,6,3,5,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,6,5,2,3,4] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,6,8,2,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,5,2,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,5,2,4,3,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,3,5,4,2,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,7,3,5,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,5,6,8,4,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,3,6,4,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,6,4,5,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,7,4,6,5,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,5,7,6,4,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,1,6,8,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,5,6,8,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,4,3,1,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,5,3,1,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,2,5,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,2,5,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,2,5,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,2,6,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,4,3,5,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,2,7,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,3,2,6,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,7,2,6,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,6,2,8,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,2,8,4,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,8,4,3,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,4,3,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,5,6,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,5,2,8,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,2,5,8,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,3,2,7,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,8,2,6,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,4,8,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,6,5,2,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,2,6,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,3,8,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,7,6,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,3,8,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,8,7,2,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,6,2,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,5,4,2,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,4,8,6,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,3,2,8,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,8,7,5,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,6,5,4,3,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,3,4,6,5,2,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,4,6,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,1,2,6,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,7,5,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,7,5,2,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,4,2,6,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,3,5,6,2,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,3,2,1,6,4,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,5,4,2,6,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,4,1,6,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,1,5,2,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,1,5,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,4,1,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,8,4,1,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,7,5,4,1,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,2,7,5,1,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,4,1,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,1,5,2,3,4] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,4,8,6,3,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,5,3,4,7,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,2,5,3,4,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,5,1,3,4,7,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,5,1,3,6,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,1,5,3,6,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,1,3,5,4,7,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,4,8,3,6,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,2,4,3,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,8,2,5,4,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,5,3,7,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,5,3,7,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,2,6,3,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,2,6,3,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,1,6,4,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,3,1,6,4,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,3,1,4,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,3,2,7,5,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,7,8,5,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,4,1,8,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,1,6,2,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,6,4,2,5,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,8,2,4,6,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,3,5,6,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,2,4,6,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,5,4,6,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,3,2,6,1,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,1,7,6,4,2,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,4,2,9,7,5,3] => [3,2,2,2] => [[1,2,3],[4,5],[6,7],[8,9]] => [[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[9,7,5,3,1,8,6,4,2,10] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,4,2,1,7,5,3,9] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,3,1,6,4,2,9] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,2,1,6,4,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,3,1,4,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,6,4,3,2,7,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,9,7,5,3,2,8,6,4] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,6,4,2,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,9,8,6,4,2,7,5,3] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,10,8,6,4,2,9,7,5,3] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,6,7,5,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,4,8,6,7,5,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,5,8,4,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,7,3,6,8,5,4,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,2,5,7,4,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,1,3,6,8,5,4,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,3,6,7,5,4,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,6,4,5,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,1,8,6,4,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,2,7,4,5,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,6,4,3,5,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,6,4,3,5,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,5,4,6,3,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,2,8,3,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,5,8,1,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,5,8,1,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,3,8,1,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,4,8,2,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,4,8,1,5,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,5,1,4,3,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,5,1,4,3,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,1,5,3,8,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,7,6,1,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,7,3,4,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,6,7,1,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,1,5,8,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,5,4,3,2,1,7,9] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,1,2,4,5,6,7,8,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[9,7,6,5,4,3,2,1,8,10] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,4,8,7,5,3,1,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,8,7,5,3,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,5,1,4,3,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,2,4,3,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,3,1,2,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,5,3,1,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,8,7,5,3,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,7,5,3,1,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,7,5,6,3,1,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,7,3,4,6,5,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,4,8,7,3,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,3,1,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,4,1,2,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,1,6,5,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,3,2,6,5,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,8,7,3,4,6,5,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,7,3,6,5,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,7,1,6,5,3,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,1,2,6,5,3,4] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,1,2,4,3,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,7,3,4,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,1,2,4,3,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,7,1,4,3,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,3,4,1,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,5,6,3,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,8,7,3,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,3,1,4,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,1,8,7,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,2,6,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,7,5,6,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,7,5,3,1,6,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,7,5,3,6,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,7,5,6,1,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,8,7,5,1,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,7,5,1,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,5,6,1,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,1,2,4,6,5,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,8,7,3,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,2,4,3,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,7,1,2,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,5,3,1,2,6,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,5,3,6,4,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,7,1,4,3,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,3,4,1,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[10,3,2,4,5,6,7,8,9,1] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,4,3,2,5,6,7,8,1] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,3,4,5,7,6,9] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,1,2,3,5,4,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,9,2,3,4,5,6,8,7] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,2,3,4,5,6,8,7,10] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,1,2,3,4,7,6,5,9] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,3,4,6,5,7,9] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,1,2,6,4,5,3,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,4,3,5,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,9,2,3,4,5,8,7,6] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,9,2,3,4,5,7,6,8] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,10,2,3,4,5,6,7,9,8] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,7,3,6,5,1,2,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,2,8,3,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,2,1,8,4,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,6,4,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,8,7,4,2,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,2,8,4,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,1,3,2,4,5,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,7,4,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,7,3,5,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,8,1,3,2,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,2,1,3,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,5,2,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,5,7,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,2,7,6,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,5,6,7,8,2,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,4,5,6,7,8,10,2,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,4,5,6,7,9,3,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,4,5,6,7,8,3,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,4,5,6,7,8,9,2,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,5,7,3,6,8,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,7,6,8,2,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,7,8,5,3,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,3,6,8,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,6,1,7,3,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,8,6,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,1,8,4,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,1,6,8,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,7,6,8,3,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,6,7,5,2,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,6,4,3,2,5] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,3,9,8,7,6,5,4,2] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,5,8,4,3,7,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,5,2,7,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,5,6,3,7,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,1,6,8,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,1,6,3,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,1,4,8,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,3,8,4,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,7,1,6,2,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,7,2,4,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,7,2,1,4,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,5,1,2,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,6,1,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,3,5,6,1,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,2,7,6,1,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,5,1,6,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,3,1,6,4,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,1,4,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,3,7,1,6,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,8,2,6,1,5,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[8,5,3,1,6,4,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,1,2,6,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,1,2,7,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,4,1,2,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,7,4,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,3,8,4,2,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,5,3,6,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,4,5,2,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,4,2,5,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,4,1,5,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,4,6,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,5,3,1,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,4,8,3,2,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,5,3,2,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,4,2,7,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,4,2,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,4,3,5,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,8,5,2,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,5,1,4,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,1,6,8,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,6,5,1,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,8,6,1,5,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,7,2,6,1,4,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,8,6,2,4,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,1,2,5,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,3,1,2,4,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,6,5,3,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,5,6,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,4,1,5,2,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,1,6,4,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,3,7,6,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,2,8,3,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,4,1,2,3,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,5,3,4,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,3,2,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,3,2,7,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,7,2,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,2,8,5,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,2,8,4,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,7,4,6,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,6,1,7,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,1,8,6,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,7,8,5,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,1,6,5,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,5,4,2,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,4,2,1,7,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,7,8,6,5,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,7,4,5,1,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,6,4,2,5,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,8,6,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,5,6,3,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,3,4,6,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,7,3,2,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,2,3,8,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,6,2,4,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,4,6,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,6,2,8,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,8,2,3,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,4,8,2,1,5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,1,8,4,2,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,6,2,1,8,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,4,2,5,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,1,8,4,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,4,3,8,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,8,1,3,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,6,4,5,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,1,4,6,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,7,5,4,6,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[9,3,4,2,5,6,7,8,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,5,7,9,8,6] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,6,7,9,8,5] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,6,8,9,7,5] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,6,9,8,7,5] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,6,7,9,8,4] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,5,6,8,9,7,4] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,5,6,9,8,7,4] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,7,9,8,6,4] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,9,8,7,6,4] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,5,7,8,9,6,3] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,5,7,9,8,6,3] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,5,9,8,7,6,3] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,6,9,8,7,5,3] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,9,8,7,6,5,3] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,5,7,9,8,6,4,2] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,9,8,7,6,4,2] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,3,4,5,6,8,10,9,7] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,5,7,8,10,9,6] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,5,7,9,10,8,6] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,5,7,10,9,8,6] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,6,7,8,10,9,5] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,6,7,9,10,8,5] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,6,7,10,9,8,5] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,6,8,10,9,7,5] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,6,10,9,8,7,5] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,6,7,9,10,8,4] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,5,6,7,10,9,8,4] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,5,6,8,9,10,7,4] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,5,6,8,10,9,7,4] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,5,6,10,9,8,7,4] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,7,9,10,8,6,4] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,5,7,10,9,8,6,4] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,5,10,9,8,7,6,4] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,5,7,8,10,9,6,3] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,5,7,9,10,8,6,3] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,5,7,10,9,8,6,3] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,5,10,9,8,7,6,3] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,6,10,9,8,7,5,3] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,10,9,8,7,6,5,3] => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,5,7,9,10,8,6,4,2] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,7,10,9,8,6,4,2] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,10,9,8,7,6,4,2] => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,10,9,8,7,6,5,4,2] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,7,3,4,8,5,1,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,8,2,5,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,2,5,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,7,3,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,7,2,8,5,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,6,2,8,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,5,3,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,4,8,2,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,5,7,8,2,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,4,7,1,8,5,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,4,5,6,8,2] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,2,7,6,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,3,5,6,2,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,2,5,6,1,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,1,6,8,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,2,7,8,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,2,1,3,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,8,5,2,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,8,5,2,6,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,2,5,3,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,4,8,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,3,8,6,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,5,1,8,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,2,4,3,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,1,5,3,8,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,8,7,1,6,5] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[4,8,3,1,7,6,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,8,7,1,6,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,7,3,1,6,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,8,2,1,7,6,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[3,8,7,2,6,5,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,1,8,6,5,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,2,8,1,7,6,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[5,8,4,2,1,7,6,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[5,8,4,7,1,6,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,8,3,1,7,6,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[8,5,6,1,4,7,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,1,2,5,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,4,2,5,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,5,8,1,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,5,8,3,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,5,7,4,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,1,6,8,4,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,5,7,4,2,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,5,3,6,1,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,5,3,6,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,5,6,3,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,3,1,4,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,3,1,4,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,3,2,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,6,1,8,3,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,2,1,5,4,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,2,8,4,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,6,2,8,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,3,8,5,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,3,2,5,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,6,2,7,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,7,8,5,1,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,7,8,3,1,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,6,2,8,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,3,2,4,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,8,7,3,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,7,2,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,2,8,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,2,8,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,7,1,6,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,1,4,8,2,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,6,1,7,2,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,1,3,8,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,6,1,3,8,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,4,2,8,5,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,4,8,3,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,8,4,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,4,2,5,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,7,8,3,6,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,8,3,6,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,8,2,4,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,4,7,3,2,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,5,4,2,7,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,8,4,6,3,2,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,5,3,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,6,1,4,2,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,8,4,2,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,2,4,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,7,8,3,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,2,6,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,8,2,1,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,3,6,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,7,2,4,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,8,2,4,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,3,4,8,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,7,8,6,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,1,3,4,8,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,6,2,3,4,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,2,5,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,2,3,7,8,9,4] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,8,3,4,5,2,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,6,4,7,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,2,5,6,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,8,2,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,8,2,5,1,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,7,8,3,5,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,3,6,8,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,7,4,6,2,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,6,8,3,5,2,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,8,5,6,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,3,8,5,1,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,5,1,8,2,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,8,7,3,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,3,6,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,6,4,7,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,6,8,3,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,7,6,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,8,4,5,6,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,4,3,7,2,1,6] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,1,2,8,7,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,7,6,2,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,8,7,4,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,1,8,6,4,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,1,7,6,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,5,3,7,6,1,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,8,7,6,1,5,4,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[9,1,8,2,3,4,5,6,10,7] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,7,1,2,3,4,5,6,10,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,10,1,9,3,4,5,6,7,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,10,8,1,3,4,5,6,7,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,3,7,5,4,1,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,3,1,8,7,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,1,5,2,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,5,7,1,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,8,6,2,7,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,5,7,2,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,3,4,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,2,6,4,3,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,2,6,1,4,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,5,8,1,4,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,7,1,8,5,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,7,8,2,1,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,7,8,4,1,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,4,8,5,1,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,3,8,5,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,8,5,2,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,4,8,3,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,7,8,3,2,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,3,4,5,6,7,9,1,2,8] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,7,2,1,5,4,6,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,4,8,6,5,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,2,4,1,8,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,3,1,5,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,8,7,2,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,2,7,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,8,2,7,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,1,4,5,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,2,5,4,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,5,7,9,1,2,4,6,8,10] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,1,2,3,5,6,7,8,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[5,1,2,3,4,6,7,8,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[8,1,2,3,4,5,6,7,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,1,2,3,4,5,6,8,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[6,1,2,3,4,5,7,8,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,7,1,8,6,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,8,3,5,2,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,1,5,2,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,6,4,1,3,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,6,4,1,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,4,2,5,6,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,2,1,4,6,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,4,3,2,5,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,3,5,6,2,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,3,5,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,1,5,8,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,1,5,8,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,7,1,5,6,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,4,1,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,7,1,6,8,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,8,1,6,4,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,1,5,6,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,1,5,3,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,1,5,3,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,5,3,6,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,2,3,6,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,5,3,6,7,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,6,4,8,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,3,8,6,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,2,8,6,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,3,2,6,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,2,8,6,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,7,5,6,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,4,2,8,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,4,6,8,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,4,3,8,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,1,2,5,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,8,5,2,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,8,5,4,7,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,8,5,6,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,6,8,5,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,4,8,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,6,8,5,4,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,8,4,6,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,8,4,6,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,8,2,6,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,2,8,3,6,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,8,2,6,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,8,3,6,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,5,8,4,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,3,5,4,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,3,2,6,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,2,3,4,6,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,7,8,5,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,6,8,3,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,5,2,7,1,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,6,1,2,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,6,3,2,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,6,7,3,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,6,2,3,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,1,4,3,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,8,5,4,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,8,3,1,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,8,5,6,1,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,5,1,3,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,8,6,1,4,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,5,1,3,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,4,2,1,5,3,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,1,3,6,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,5,1,8,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,5,3,8,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,6,3,8,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,4,7,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,1,8,6,3,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,1,7,3,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,6,2,1,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,2,4,1,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,2,4,6,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,5,3,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,8,7,3,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,8,7,3,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,1,7,4,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,6,3,1,4,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,1,7,5,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,5,4,8,3,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,7,5,2,1,3,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,2,8,5,1,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,6,2,8,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,2,7,8,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,5,6,2,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,1,2,5,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,4,1,2,5,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,7,2,5,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,2,7,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,3,7,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,6,1,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,5,7,1,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,2,4,3,6,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,7,2,4,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,2,1,5,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,7,8,5,1,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,7,1,6,4,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,1,7,6,5,3,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,2,8,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,1,3,7,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,5,3,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,6,7,4,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,4,6,1,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,4,3,8,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,4,6,2,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,4,6,2,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,6,5,4,7,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,6,8,7,3,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,6,7,3,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,4,6,2,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,6,2,5,8,7,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,1,2,6,5,8,7,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,1,6,2,5,8,7,10,9] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,5,1,6,2,4,8,7,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,5,1,6,3,4,8,7,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,5,1,2,6,4,8,7,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,5,1,3,6,4,8,7,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,7,1,4,6,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,7,5,8,6,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,3,4,7,2,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,3,5,2,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,6,8,3,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,2,8,4,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,4,2,5,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,7,5,2,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,4,2,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,7,4,2,1,3,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,7,3,2,5,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,4,8,7,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,8,6,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,4,7,3,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,3,5,7,4,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,3,2,1,4,7,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,7,6,8,4,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,2,5,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,4,2,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,5,8,4,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,3,2,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,8,4,6,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,2,7,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,6,2,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,8,6,2,3,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,7,6,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,7,3,6,8,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,5,7,8,4,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,3,2,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,6,8,4,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,7,5,3,2,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,5,2,1,7,4,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[1,2,6,8,4,3,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,2,6,4,1,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,4,3,5,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,2,7,1,6,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,1,3,5,4,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,6,2,7,1,5,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,2,8,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,4,2,1,6,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,4,3,1,5,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,1,2,5,4,3] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,7,5,8,6,1,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,3,8,4,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,4,1,2,6,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,7,1,5,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,1,3,4,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,6,4,8,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,7,8,4,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,3,8,2,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,5,8,6,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,8,4,1,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,6,8,1,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,7,5,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,5,7,8,6,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,2,8,5,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,7,4,6,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,3,5,6,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,6,4,2,3,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,8,2,5,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,4,6,1,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,8,5,2,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,8,1,6,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,4,7,3,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,8,5,2,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,1,5,6,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,8,1,2,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,2,3,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,8,1,7,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,8,2,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,2,7,5,1,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,6,1,3,2,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,6,1,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,5,4,6,3,7,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,7,2,8,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,1,8,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,4,2,1,3,5,7,9] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,1,4,3,5,7,9] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,2,1,6,3,5,7,9] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,2,1,8,3,5,7,9] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,4,2,9,1,3,5,7] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,6,4,2,7,1,3,5,8] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,7,4,2,5,1,3,6,8] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,7,5,2,3,1,4,6,8] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,7,5,3,1,2,4,6,8] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[10,8,6,4,2,1,3,5,7,9] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[10,8,6,2,1,4,3,5,7,9] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,1,4,3,6,5,7,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,8,4,2,1,6,3,5,7,9] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,6,3,5,8,7,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,6,4,2,1,8,3,5,7,9] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,2,1,8,3,5,9,7] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,4,2,1,10,3,5,7,9] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,2,7,1,3,5,8,9] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,4,2,9,1,3,5,7,10] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,3,1,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,9,4,2,5,1,3,6,7] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,6,4,2,7,1,3,5,8,10] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,8,3,1,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,6,7,2,3,1,4,5,8] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,7,4,2,5,1,3,6,8,10] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,7,4,5,1,2,3,6,8] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,7,5,2,3,1,4,6,8,10] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,7,5,3,1,2,4,6,8,10] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,2,8,6,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,3,2,6,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,7,3,2,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,2,3,4,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,2,4,8,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,8,3,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,6,2,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,6,3,5,7,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,8,4,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,7,4,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,8,4,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,8,3,4,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,2,3,8,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,4,2,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,5,6,2,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,3,4,2,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,7,8,5,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,4,6,3,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,4,5,2,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,3,4,5,2,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,4,5,6,3,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,7,2,3,4,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,5,2,6,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,7,3,2,5,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,8,1,6,7,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,1,3,7,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,3,6,7,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,4,6,2,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,7,6,4,3,5,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,1,8,7,5,3,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,7,5,6,8,4,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,6,4,5,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,7,6,3,1,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,5,2,4,7,6,8,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,2,6,4,7,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,6,7,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,7,6,4,8,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,2,8,4,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,7,4,6,8,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,7,4,6,8,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,5,4,8,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,2,4,8,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,5,4,8,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,6,8,2,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,4,1,3,6,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,5,2,1,4,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,1,8,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,2,1,6,3,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,6,7,3,4,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,6,7,4,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,6,3,7,1,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,1,2,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,9,3,4,5,6,8,7] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,8,4,5,9,6,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,9,5,6,8,7] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,4,8,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,5,9,6,8,7] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,1,2,3,4,8,5,9,6] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,9,1,2,3,4,8,5,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,10,3,4,5,6,7,9,8] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,1,9,2,3,4,8,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,9,4,5,6,10,7,8] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,1,2,3,5,8,6,9,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,10,5,6,7,9,8] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,2,4,9,5,8,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,5,10,6,7,9,8] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,3,4,5,9,6,8,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,5,6,9,10,7,8] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[8,1,2,3,4,5,9,6,10,7] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,7,2,3,4,5,9,8,6] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,10,1,2,3,4,5,9,6,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,6,2,3,4,5,9,8,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,3,7,4,8,9,5] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,1,10,2,3,4,5,9,7,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,7,1,2,6,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,8,5,4,6,9,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,9,1,2,6,3,4,8,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,3,4,6,9,7,10,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,4,2,3,5,6,9,8,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,3,6,8,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,9,5,2,3,6,8,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,3,10,5,6,9,7,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,2,4,5,6,9,8,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,2,5,6,8,9,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,2,4,5,10,6,9,7,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,1,4,9,5,6,8,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,7,4,1,8,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,4,7,5,1,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,3,1,6,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,6,1,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,6,1,4,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,3,5,4,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,1,2,8,5,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,3,4,6,9,5,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,1,2,4,6,9,3,5,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,3,4,5,9,8,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,3,4,8,6,9,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,2,3,9,6,8,5,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,2,3,4,5,7,10,6,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,3,1,2,5,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,8,4,6,9,5,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,3,5,7,2,1,4,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,8,5,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,9,4,6,8,3,5,7] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,2,3,5,7,10,4,6,8] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,8,2,4,6,9,3,5,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,3,5,7,10,2,4,6,8] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,3,1,2,8,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,7,6,3,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,4,5,3,8,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,5,6,7,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,6,3,7,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,3,6,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,6,3,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,5,4,8,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,1,6,8,4,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,2,4,7,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,6,4,7,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,6,5,7,2,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,1,4,7,3,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,2,7,4,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,1,8,4,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,6,8,3,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,1,8,3,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,7,3,8,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,5,6,7,1,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,6,8,3,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,7,8,1,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,3,2,8,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,8,6,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,6,5,7,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,8,6,4,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,8,4,7,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,2,6,8,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,5,1,6,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,8,1,4,2,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,4,1,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,3,1,6,2,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,7,4,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,8,7,5,1,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,6,1,8,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,6,2,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,2,8,7,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,3,8,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,8,7,4,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,2,8,7,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,2,1,8,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,1,3,7,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,4,7,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,3,8,7,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,7,5,8,1,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,8,3,4,1,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,6,7,5,4,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,2,6,8,1,4,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,2,8,4,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,3,7,4,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,7,1,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,7,3,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,7,4,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,8,5,3,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,4,7,1,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,4,6,1,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,4,2,5,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,7,1,5,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,3,1,5,7,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,2,7,1,6,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[8,3,4,5,2,7,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,2,6,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,5,2,6,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,8,3,4,5,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,6,8,4,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,2,6,7,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,2,7,1,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,3,4,7,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,6,5,2,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,2,7,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,4,7,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,4,8,6,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,4,5,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,6,5,8,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,6,7,8,9,1,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,8,9,5,4,3,2,1,6] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,8,9,4,3,2,1,5] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,3,2,7,8,9,1] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,4,3,6,5,8,7,11,12,9,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,4,3,6,5,9,10,7,8,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,4,3,6,5,9,11,7,12,8,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,4,3,6,5,10,11,12,7,8,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,4,3,7,8,5,6,10,9,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,4,3,7,8,5,6,11,12,9,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,4,3,7,9,5,10,6,8,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,4,3,7,9,5,11,6,12,8,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,4,3,7,10,5,11,12,6,8,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,4,3,8,9,10,5,6,7,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,4,3,8,9,11,5,6,12,7,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,4,3,8,10,11,5,12,6,7,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,4,3,9,10,11,12,5,6,7,8] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,5,6,3,4,8,7,10,9,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,5,6,3,4,8,7,11,12,9,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,5,6,3,4,9,10,7,8,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,5,6,3,4,9,11,7,12,8,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,5,6,3,4,10,11,12,7,8,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,5,7,3,8,4,6,10,9,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,5,7,3,8,4,6,11,12,9,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,5,7,3,9,4,10,6,8,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,5,7,3,9,4,11,6,12,8,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,5,7,3,10,4,11,12,6,8,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,5,8,3,9,10,4,6,7,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,5,8,3,9,11,4,6,12,7,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,5,8,3,10,11,4,12,6,7,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,5,9,3,10,11,12,4,6,7,8] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,6,7,8,3,4,5,10,9,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,6,7,8,3,4,5,11,12,9,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,6,7,9,3,4,10,5,8,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,6,7,9,3,4,11,5,12,8,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,6,7,10,3,4,11,12,5,8,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,6,8,9,3,10,4,5,7,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,6,8,9,3,11,4,5,12,7,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,6,8,10,3,11,4,12,5,7,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,6,9,10,3,11,12,4,5,7,8] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,7,8,9,10,3,4,5,6,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,7,8,9,11,3,4,5,12,6,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,7,8,10,11,3,4,12,5,6,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,7,9,10,11,3,12,4,5,6,8] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[2,1,8,9,10,11,12,3,4,5,6,7] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,4,1,2,6,5,8,7,10,9,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,4,1,2,6,5,8,7,11,12,9,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,4,1,2,6,5,9,10,7,8,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,4,1,2,6,5,9,11,7,12,8,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,4,1,2,6,5,10,11,12,7,8,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,4,1,2,7,8,5,6,10,9,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,4,1,2,7,8,5,6,11,12,9,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,4,1,2,7,9,5,10,6,8,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,4,1,2,7,9,5,11,6,12,8,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,4,1,2,7,10,5,11,12,6,8,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,4,1,2,8,9,10,5,6,7,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,4,1,2,8,9,11,5,6,12,7,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,4,1,2,8,10,11,5,12,6,7,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,4,1,2,9,10,11,12,5,6,7,8] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,5,1,6,2,4,8,7,10,9,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,5,1,6,2,4,8,7,11,12,9,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,5,1,6,2,4,9,10,7,8,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,5,1,6,2,4,9,11,7,12,8,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,5,1,6,2,4,10,11,12,7,8,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,5,1,7,2,8,4,6,10,9,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,5,1,7,2,8,4,6,11,12,9,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,5,1,7,2,9,4,10,6,8,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,5,1,7,2,9,4,11,6,12,8,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,5,1,7,2,10,4,11,12,6,8,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,5,1,8,2,9,10,4,6,7,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,5,1,8,2,9,11,4,6,12,7,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,5,1,8,2,10,11,4,12,6,7,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,5,1,9,2,10,11,12,4,6,7,8] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,6,1,7,8,2,4,5,10,9,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,6,1,7,8,2,4,5,11,12,9,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,6,1,7,9,2,4,10,5,8,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,6,1,7,9,2,4,11,5,12,8,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,6,1,7,10,2,4,11,12,5,8,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,6,1,8,9,2,10,4,5,7,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,6,1,8,9,2,11,4,5,12,7,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,6,1,8,10,2,11,4,12,5,7,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,6,1,9,10,2,11,12,4,5,7,8] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,7,1,8,9,10,2,4,5,6,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,7,1,8,9,11,2,4,5,12,6,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,7,1,8,10,11,2,4,12,5,6,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,7,1,9,10,11,2,12,4,5,6,8] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,8,1,9,10,11,12,2,4,5,6,7] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,5,6,1,2,3,8,7,10,9,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,5,6,1,2,3,8,7,11,12,9,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,5,6,1,2,3,9,10,7,8,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,5,6,1,2,3,9,11,7,12,8,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,5,6,1,2,3,10,11,12,7,8,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,5,7,1,2,8,3,6,10,9,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,5,7,1,2,8,3,6,11,12,9,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,5,7,1,2,9,3,10,6,8,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,5,7,1,2,9,3,11,6,12,8,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,5,7,1,2,10,3,11,12,6,8,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,5,8,1,2,9,10,3,6,7,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,5,8,1,2,9,11,3,6,12,7,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,5,8,1,2,10,11,3,12,6,7,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,5,9,1,2,10,11,12,3,6,7,8] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,6,7,1,8,2,3,5,10,9,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,6,7,1,8,2,3,5,11,12,9,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,6,7,1,9,2,3,10,5,8,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,6,7,1,9,2,3,11,5,12,8,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,6,7,1,10,2,3,11,12,5,8,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,6,8,1,9,2,10,3,5,7,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,6,8,1,9,2,11,3,5,12,7,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,6,8,1,10,2,11,3,12,5,7,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,6,9,1,10,2,11,12,3,5,7,8] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,7,8,1,9,10,2,3,5,6,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,7,8,1,9,11,2,3,5,12,6,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,7,8,1,10,11,2,3,12,5,6,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,7,9,1,10,11,2,12,3,5,6,8] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[4,8,9,1,10,11,12,2,3,5,6,7] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[5,6,7,8,1,2,3,4,10,9,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[5,6,7,8,1,2,3,4,11,12,9,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[5,6,7,9,1,2,3,10,4,8,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[5,6,7,9,1,2,3,11,4,12,8,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[5,6,7,10,1,2,3,11,12,4,8,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[5,6,8,9,1,2,10,3,4,7,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[5,6,8,9,1,2,11,3,4,12,7,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[5,6,8,10,1,2,11,3,12,4,7,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[5,6,9,10,1,2,11,12,3,4,7,8] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[5,7,8,9,1,10,2,3,4,6,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[5,7,8,9,1,11,2,3,4,12,6,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[5,7,8,10,1,11,2,3,12,4,6,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[5,7,9,10,1,11,2,12,3,4,6,8] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[5,8,9,10,1,11,12,2,3,4,6,7] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[6,7,8,9,10,1,2,3,4,5,12,11] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[6,7,8,9,11,1,2,3,4,12,5,10] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[6,7,8,10,11,1,2,3,12,4,5,9] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[6,7,9,10,11,1,2,12,3,4,5,8] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[6,8,9,10,11,1,12,2,3,4,5,7] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 10

[3,5,7,6,8,2,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,3,7,6,1,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,3,7,5,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,4,7,5,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,5,3,6,4,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,3,6,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,5,3,7,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,3,7,5,1,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,3,6,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,6,2,5,4,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,8,2,5,4,1,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,4,6,5,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,2,5,4,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,8,3,6,4,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,4,6,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,3,6,5,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,5,4,1,6,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,4,1,5,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,3,7,5,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,4,8,5,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,4,8,6,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,5,8,6,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,3,7,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,3,7,4,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,2,6,4,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,1,4,8,5,2,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,4,8,5,2,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,6,3,7,4,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,3,8,4,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,3,8,4,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,4,8,5,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,3,8,4,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,3,8,4,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,3,8,4,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,5,3,7,4,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,4,8,5,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,4,8,6,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,4,3,7,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,3,8,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,3,8,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,3,8,6,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,3,8,6,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,3,1,7,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,3,1,7,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,3,1,6,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,3,6,4,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,3,6,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,4,7,6,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,5,3,1,6,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,5,3,1,7,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,3,1,7,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,4,1,7,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,4,1,6,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,3,1,6,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,3,1,6,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,3,1,5,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,6,3,1,5,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,4,8,6,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,3,7,5,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,5,3,7,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,6,4,7,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,5,1,6,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,4,1,5,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,7,4,1,5,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,2,5,6,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,2,4,8,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,8,7,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,8,1,4,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,1,5,2,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,3,2,6,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,5,3,2,1,4,9] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,6,4,3,2,1,5,9] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,5,4,3,2,1,6,9] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,6,5,4,1,2,3,9] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[9,8,7,6,5,4,2,1,3,10] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,6,5,2,3,1,4,9] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[9,8,7,6,5,3,2,1,4,10] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,6,3,4,2,1,5,9] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[9,8,7,6,4,3,2,1,5,10] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,4,5,3,2,1,6,9] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[9,8,7,5,4,3,2,1,6,10] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,5,6,4,3,2,1,7,9] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[9,8,6,5,4,3,2,1,7,10] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,7,5,4,3,2,1,8,9] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,2,3,1,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,7,3,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,7,8,5,4,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,2,1,5,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,4,7,8,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,2,4,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,7,5,8,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,3,2,4,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,1,5,6,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,1,8,4,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,6,2,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,3,8,4,5,6,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,4,3,8,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,7,8,3,4,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,8,5,6,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,5,8,1,6,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,8,1,5,7,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,4,7,5,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,7,9,5,4,3,2,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,8,7,6,9,4,3,2,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,8,7,6,5,9,3,2,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,8,7,6,5,4,9,2,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,8,7,6,5,4,3,9,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,3,6,8,4,1,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,8,6,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,3,7,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,8,7,3,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,6,7,8,1,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,8,1,3,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,6,3,7,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,2,6,4,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,2,6,1,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,6,2,7,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,6,1,8,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,8,6,3,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,1,8,5,4,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,1,6,4,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,4,3,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,2,1,5,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,8,1,6,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,3,2,7,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,2,7,3,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,8,2,3,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,2,1,6,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[9,1,3,4,5,6,7,8,2] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,7,4,6,2,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,6,2,4,8,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,2,5,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,8,3,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,7,6,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,1,8,3,4,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,6,2,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,8,2,6,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,4,6,8,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,5,6,8,3,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,4,8,1,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,6,4,5,7,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,7,2,5,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,1,5,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,6,5,8,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,4,5,8,2,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,4,5,6,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[10,1,3,4,5,6,7,8,9,2] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,8,3,4,5,6,9,2,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,2,3,4,5,1,9,7,6] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,7,4,5,8,3,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,9,4,5,6,7,3,2] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,9,3,4,5,6,1,8,2] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,9,3,4,5,6,7,10,2,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,2,3,4,5,6,1,10,8,7] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,8,4,5,6,9,3,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,8,3,4,5,2,9,1,6] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,3,4,1,6,9,7,5] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,7,3,2,5,8,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,9,5,6,7,4,2] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,8,4,5,3,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,9,4,5,6,3,1,2] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => [[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[9,1,10,4,5,6,7,8,3,2] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,9,3,4,5,1,7,8,2] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,10,3,4,5,6,7,1,9,2] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,6,2,5,1,8,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,6,2,8,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,2,1,6,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,2,6,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,7,4,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,2,1,3,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,6,8,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,6,5,1,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,7,6,8,5,1,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,5,7,3,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,7,8,6,2,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,6,8,2,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,8,5,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,8,7,6,4,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,7,8,6,2,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,1,4,7,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,7,5,4,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,8,1,7,6,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[10,6,1,2,3,4,9,5,7,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,7,1,2,3,4,9,5,6,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,10,1,2,3,4,8,5,6,7] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,1,5,2,3,4,6,7,8,9] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,1,2,5,3,4,6,7,8,9] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,1,2,3,10,4,6,7,8,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,6,1,2,3,4,10,9,5,8] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,7,1,2,3,4,8,5,10,6] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,9,1,2,3,4,6,7,10,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[10,8,4,9,1,2,3,5,6,7] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,10,1,5,3,4,6,7,8,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,5,2,10,4,6,7,8,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,1,2,10,3,5,6,7,8,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,1,5,6,7,8,9,2,3] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,8,9,1,6,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,6,7,1,8,9,4,5] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,6,3,2,1,5,4,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,3,2,4,1,7,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,4,3,6,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,1,4,6,3,2,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,1,6,3,4,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,6,1,5,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,5,2,1,7,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,2,8,7,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,1,4,3,7,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,4,2,1,3,7,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,3,6,1,8,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,4,1,5,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,3,7,4,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,2,6,7,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,5,1,7,6,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,6,3,7,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,4,3,5,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,6,2,4,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,2,1,4,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,1,3,2,8,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,8,2,1,5,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,5,7,4,3,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,4,8,7,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,8,5,1,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,6,8,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,2,8,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,3,8,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,8,1,3,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,5,1,3,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,5,3,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,2,5,6,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,8,7,2,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,7,4,8,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,7,8,3,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,3,1,8,5,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,3,1,8,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,2,5,8,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,8,4,6,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,3,5,8,4,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,2,8,5,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,7,6,4,8,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,4,2,1,5,6,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,3,5,1,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,4,1,3,2,6,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,4,8,3,6,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,5,7,6,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,8,4,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,8,3,4,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,5,1,3,2,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,1,7,3,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,8,3,7,1,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,5,1,4,2,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,5,1,3,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,5,3,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,3,6,4,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,1,4,2,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,5,6,3,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,6,5,3,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,7,2,6,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,8,1,2,6,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,2,3,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,4,6,5,7,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,3,7,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,1,5,4,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,7,1,5,3,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,3,4,6,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,2,5,3,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,4,3,6,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,2,6,3,4,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,1,6,3,2,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,6,3,4,5,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,4,6,2,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,6,5,4,2,3,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,4,3,1,7,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,5,2,4,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,4,3,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,8,4,7,2,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,3,2,8,5,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,2,6,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,6,5,8,2,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,4,2,8,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,7,8,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,5,7,6,2,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,6,8,7,2,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,1,4,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,7,1,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,8,4,3,1,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,7,6,5,3,2,4,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,5,4,1,3,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,3,5,8,4,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,1,5,8,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[9,8,7,6,5,4,2,3,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[2,3,9,8,7,6,5,4,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[9,1,3,2,4,5,6,7,8] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,8,7,1,5,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[9,10,1,8,7,6,5,4,3,2] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,5,2,4,7,6,9,8,1] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,3,6,5,8,7,1,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,5,4,7,6,9,8,1,10] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,3,6,5,8,7,10,9,1] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,2,6,1,5,8,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,6,8,2,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,3,8,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,2,4,6,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,2,8,5,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,3,6,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,2,5,7,1,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,2,7,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,2,7,3,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,3,4,5,1,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,2,4,6,3,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,3,4,5,7,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,2,4,6,7,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,7,3,4,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,5,6,4,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,2,4,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,5,8,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,2,4,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,5,6,4,2,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,5,4,3,2,7] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,6,8,1,5,4,3,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,8,2,1,4,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,5,3,7,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,5,3,8,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,1,8,3,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,8,3,1,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,1,3,7,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,6,8,7,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,2,8,1,4,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,6,8,3,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,8,7,4,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,8,5,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,5,8,7,6,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,6,5,7,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,6,5,7,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,6,4,5,8,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,5,1,8,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,5,6,3,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,2,5,1,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,3,8,7,1,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,5,3,8,4,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,1,8,3,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,2,7,3,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,4,6,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,7,4,2,1,3,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,2,7,5,8,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,1,4,2,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,4,8,7,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,4,1,3,7,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,4,3,6,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,2,7,5,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,8,1,5,2,6,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,6,7,2,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,2,4,7,6,9,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,7,8,6,5,1,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,7,2,6,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,8,2,7,3,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,2,7,3,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,2,7,3,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,3,6,4,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,4,2,6,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,2,3,6,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,3,2,8,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,3,2,4,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,4,6,1,2,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,3,8,5,1,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,2,3,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,8,2,3,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,8,4,1,2,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,8,5,1,2,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,8,3,1,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,2,3,1,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,7,8,2,1,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,3,1,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,2,1,3,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,3,2,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,8,1,2,5,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,2,1,8,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,3,7,2,1,6] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,6,8,5,2,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,4,7,2,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,3,2,7,1,6] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,3,7,8,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,5,6,7,8,2,9,1] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,8,6,3,2,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,6,2,5,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,5,3,8,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,8,1,2,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,3,1,5,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,2,6,5,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,4,5,3,2,9,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,9,8,7,5,6,4,3,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,3,5,8,4,7,2,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,7,5,1,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,5,6,2,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,8,7,3,5,2,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,2,3,5,6,1,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,7,6,4,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,8,6,2,7,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,4,5,1,6,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,1,3,5,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,6,4,8,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,8,5,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,7,8,5,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,6,8,3,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,4,3,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,3,8,5,4,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,4,7,6,1,10,8,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,5,4,9,8,6,7,1,10] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,5,4,1,8,6,10,7,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,5,4,1,10,9,6,7,8] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,7,6,4,5,9,8,1,10] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,7,6,4,5,1,10,8,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,9,6,4,8,5,7,1,10] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,1,6,4,8,5,10,7,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,1,6,4,10,9,5,7,8] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,9,8,7,4,5,6,1,10] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,8,7,4,5,10,6,9] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,1,10,7,4,9,5,6,8] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,1,10,9,8,4,5,6,7] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,2,3,7,6,9,8,1,10] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,2,3,7,6,1,10,8,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,2,3,9,8,6,7,1,10] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,2,3,1,8,6,10,7,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,2,3,1,10,9,6,7,8] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,4,2,6,3,5,9,8,1,10] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,4,2,6,3,5,1,10,8,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,4,2,6,3,8,5,7,1,10] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,6,3,8,5,10,7,9] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,4,2,6,3,10,9,5,7,8] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,4,2,8,7,3,5,6,1,10] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,8,7,3,5,10,6,9] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,4,2,10,7,3,9,5,6,8] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,4,2,10,9,8,3,5,6,7] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,6,5,2,3,4,9,8,1,10] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,2,3,4,1,10,8,9] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,6,5,2,3,8,4,7,1,10] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,2,3,8,4,10,7,9] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,6,5,2,3,10,9,4,7,8] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,8,5,2,7,3,4,6,1,10] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,2,7,3,4,10,6,9] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,10,5,2,7,3,9,4,6,8] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,10,5,2,9,8,3,4,6,7] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,8,7,6,2,3,4,5,1,10] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,6,2,3,4,10,5,9] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,10,7,6,2,3,9,4,5,8] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,10,9,6,2,8,3,4,5,7] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,10,9,8,7,2,3,4,5,6] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,2,3,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,7,3,5,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,2,6,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,2,4,5,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,2,4,5,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,3,2,5,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,5,3,1,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,6,8,7,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,8,6,2,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,8,5,4,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,8,5,7,4,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,7,5,4,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,8,6,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,6,3,5,7,4,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,8,2,5,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,2,3,6,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,4,8,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,5,8,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,1,8,4,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,7,3,2,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,8,6,2,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,3,1,8,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,6,1,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,8,3,1,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,4,5,3,6,2,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,4,5,3,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,5,3,2,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,7,3,5,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,4,8,2,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,7,5,2,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,6,7,4,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,6,1,4,3,7,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,4,7,8,3,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,8,2,3,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,3,2,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,1,4,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,6,7,8,1,5,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,7,8,1,5,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,8,5,1,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,2,7,5,8,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,3,2,6,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,4,5,3,6,1,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,3,2,4,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,1,3,6,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,3,2,7,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,7,8,1,5,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,8,1,5,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,7,8,1,5,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,8,1,6,4,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,3,7,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,5,3,2,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,6,4,1,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,4,3,8,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,7,3,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,3,4,1,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,8,5,3,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,8,3,6,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,2,8,1,6,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,2,1,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,7,1,3,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,7,4,6,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,8,3,6,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,8,3,2,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,6,8,2,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,8,7,3,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,3,1,6,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,1,7,8,5,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,6,8,4,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,7,8,4,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,3,8,4,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,8,4,1,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,8,3,5,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,6,4,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,2,8,4,3,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,3,2,5,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,6,4,8,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,4,7,8,5,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,1,8,4,3,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,3,7,5,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,7,3,4,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,7,8,1,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,3,2,5,8,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,4,3,5,8,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,4,2,3,5,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,5,8,6,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,7,2,8,5,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,2,4,8,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,4,3,6,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,4,6,2,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,6,1,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,8,5,2,6,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,5,6,2,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,8,2,1,4,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,5,3,1,7,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,8,1,7,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,8,6,1,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,2,3,8,4,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,5,1,4,8,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,6,1,2,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,6,5,1,8,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,2,6,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,2,8,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,8,2,4,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,4,8,5,3,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,8,4,2,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,8,6,2,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,6,8,1,3,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,5,8,4,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,3,5,7,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,8,2,4,1,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,4,1,3,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,2,4,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,3,5,7,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,5,2,3,8,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,8,2,4,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,1,4,6,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,3,7,4,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,2,8,4,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,2,8,1,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,1,2,5,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,4,8,5,3,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,6,9,7,5,4,3,2,1] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,2,5,4,7,6,1,10,9,8] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,5,4,9,8,7,6,1,10] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,4,1,8,7,10,9,6] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,5,4,1,10,9,8,7,6] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,6,5,4,9,8,1,10] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,6,5,4,1,10,9,8] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,9,6,5,8,7,4,1,10] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,6,5,8,7,10,9,4] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,1,6,5,10,9,8,7,4] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,8,7,6,5,10,9,4] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,10,7,6,9,8,5,4] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,3,2,7,6,9,8,1,10] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,3,2,7,6,1,10,9,8] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,3,2,9,8,7,6,1,10] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,3,2,1,8,7,10,9,6] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,3,6,5,2,9,8,1,10] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,3,6,5,2,1,10,9,8] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[9,4,3,6,5,8,7,2,1,10] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,6,5,8,7,10,9,2] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,4,3,6,5,10,9,8,7,2] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,4,3,8,7,6,5,2,1,10] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,3,8,7,6,5,10,9,2] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,10,7,6,9,8,5,2] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,10,9,8,7,6,5,2] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,4,3,2,9,8,1,10] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[9,6,5,4,3,8,7,2,1,10] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,4,3,8,7,10,9,2] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,4,3,10,9,8,7,2] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[9,8,5,4,7,6,3,2,1,10] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,5,4,7,6,3,10,9,2] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,10,5,4,7,6,9,8,3,2] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,10,5,4,9,8,7,6,3,2] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,10,7,6,5,4,9,8,3,2] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,10,9,6,5,8,7,4,3,2] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,7,2,4,3,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,3,2,4,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,4,6,5,3,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,2,6,5,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,8,7,4,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,4,3,5,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,8,7,4,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,2,3,5,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,2,3,6,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,8,5,2,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,5,2,8,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,7,4,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,2,7,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,7,5,3,2,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,5,8,6,3,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,7,5,8,6,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,7,6,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,5,8,7,6,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,4,3,6,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,7,5,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,5,7,4,3,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,2,6,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,6,8,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,6,3,2,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,2,6,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,6,3,2,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,2,8,5,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,6,4,2,5,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,4,2,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,5,4,2,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,6,3,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,2,7,5,4,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,8,6,7,1,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,3,6,8,5,4,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,2,8,1,6,4,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,2,4,6,7,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,8,7,1,4,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,5,8,2,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,1,6,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,1,6,8,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,8,6,4,7,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,4,7,2,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,7,2,5,3,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,4,5,2,1,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,4,7,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,6,7,2,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,7,2,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,4,7,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,2,6,7,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,6,5,2,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,4,5,7,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,5,2,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,5,4,2,8,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,6,5,1,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,1,3,7,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,2,4,8,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,6,4,8,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,1,3,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,4,6,1,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,4,7,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,1,4,6,5,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,5,8,6,7,1,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,6,8,5,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,8,6,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,6,8,1,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,4,7,8,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,8,6,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,3,4,7,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,8,7,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,7,4,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,5,4,3,1,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,6,4,7,3,8,2,9,1] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,7,3,9,2,8,1] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,8,6,2,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,3,7,2,8,1,9] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,4,8,3,9,2,10,1] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,4,8,3,10,2,9,1] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,7,3,8,2,9,1,10] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,2,3,6,1,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,6,8,2,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,7,2,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,8,5,2,7,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,2,6,3,1,4,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,1,6,4,5,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,1,3,7,2,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,7,5,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,5,8,2,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,2,8,5,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,7,1,8,5,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,5,6,7,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,2,1,4,7,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,1,8,5,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,8,2,5,6,1,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,1,4,2,3,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,6,1,2,4,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,4,7,8,6,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,4,7,8,6,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,8,6,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,1,6,7,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,1,2,4,6,8,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,2,7,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,6,4,5,8,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,6,4,5,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,6,4,5,7,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,2,7,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,6,2,5,3,4,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,2,5,3,4,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,2,5,3,4,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,7,4,5,6,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,7,4,5,6,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,7,5,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,2,6,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,8,5,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,2,7,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,4,2,3,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,4,6,8,5,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,8,4,5,6,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,2,5,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,2,5,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,2,6,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,2,6,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,7,4,5,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,3,5,1,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,8,6,3,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,5,4,1,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,2,1,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,7,2,1,6,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,1,5,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,1,6,5,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,1,3,6,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,7,8,1,3,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,1,4,6,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,1,6,3,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,1,6,5,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,1,4,3,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,7,3,1,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,7,2,1,6,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,7,1,5,2,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,2,8,1,4,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,7,1,8,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,5,4,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,8,1,3,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,1,4,6,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,1,6,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,1,6,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,4,5,6,7,9,2] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,2,3,4,5,6,1,9,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,9,4,5,6,7,8,3] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,8,3,4,5,6,7,1,9] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,6,5,1,2,4,3,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,1,4,2,3,5,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,4,8,3,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,5,1,4,2,3,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,1,2,5,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,4,2,5,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,4,3,2,6,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,3,7,4,5,6,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,2,4,3,6,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,2,5,7,3,1,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,4,5,3,1,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,1,3,2,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,5,2,1,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,4,3,2,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,7,3,2,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,4,7,2,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,4,7,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,7,1,5,2,6,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,6,4,2,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,3,1,7,2,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,4,3,1,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,1,7,3,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,7,4,5,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,1,3,6,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,5,7,1,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,5,7,1,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,2,5,6,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,3,5,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,3,5,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,2,5,7,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,5,2,7,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,1,4,3,7,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,6,4,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,1,6,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,5,2,7,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,3,7,2,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,3,4,8,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,6,1,8,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,6,1,7,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,3,6,2,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,4,7,3,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,8,3,5,6,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,4,5,8,1,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,6,2,3,4,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,6,2,1,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,5,8,2,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,4,2,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,2,4,3,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,2,5,7,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,4,5,6,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,8,4,5,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,1,4,3,7,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,5,3,1,2,8,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,1,6,2,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,6,7,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,1,8,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,3,7,1,6,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,6,3,5,4,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,2,8,6,4,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,1,6,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,7,2,6,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,5,6,4,7,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,4,8,5,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,6,1,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,6,2,5,3,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,7,6,2,1,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,2,7,6,1,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,2,7,6,1,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,3,7,6,2,5,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,3,8,6,5,1,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[9,8,7,6,1,2,3,4,5,10] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,3,7,5,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,1,3,8,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,1,4,7,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,5,8,4,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,8,2,3,4,6,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,4,2,5,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,3,2,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,2,4,1,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,3,5,2,4,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,7,3,6,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,3,1,6,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,3,4,2,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,3,2,6,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,7,4,3,5,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,6,7,8,4,3,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,4,5,3,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,5,3,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,2,1,6,3,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,7,3,6,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,6,3,5,2,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,6,3,5,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,8,7,4,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,8,7,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,1,8,3,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,6,8,2,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,6,8,2,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,5,8,2,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,5,2,8,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,4,2,1,8,6,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,6,7,4,2,8,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,2,7,8,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,3,4,2,5,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,6,4,5,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,4,6,1,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,4,5,6,3,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,2,1,5,6,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,1,7,5,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,3,1,5,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,4,7,5,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,5,6,4,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,8,5,4,1,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,1,8,4,6,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,6,3,1,5,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,6,1,4,5,3,2,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,6,4,3,2,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,3,8,6,2,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,2,8,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,3,1,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,5,6,7,4,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,2,4,1,8,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,2,3,6,8,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,8,3,4,5,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,4,6,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,3,8,4,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,6,7,4,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,4,5,2,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,1,2,3,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,4,2,5,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,1,5,7,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,4,7,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,1,5,2,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,5,8,2,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,4,6,5,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,7,6,4,5,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,8,6,4,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,10,1,2,3,4,5,9,6,7] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,8,1,9,2,3,4,5,6,7] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,7,1,2,3,4,5,9,10,6] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,1,2,3,4,5,7,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,1,2,3,4,6,7,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,2,3,5,6,7,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,10,1,5,6,7,8,9,3,4] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,4,5,1,2,8,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,1,8,5,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,4,2,3,8,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,2,5,1,7,4,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,4,2,3,7,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,2,1,7,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,6,1,2,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,7,5,2,4,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,6,8,4,1,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,1,6,8,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,1,7,4,8,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,8,6,4,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,1,7,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,8,3,7,1,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,8,4,7,1,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,8,3,7,2,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,6,2,8,7,4,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,2,7,3,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[9,8,2,3,4,5,6,7,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,9,2,3,4,5,6,7,1] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,7,8,9,1,4,3,2] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,9,2,3,4,5,6,7,8,1] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,7,8,5,1,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,2,5,6,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,6,4,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,6,8,4,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,5,1,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,2,6,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,2,4,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,4,7,1,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,4,8,1,3,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,8,1,5,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,4,2,6,1,7,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,6,8,7,4,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,5,1,8,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,2,8,7,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,3,8,7,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,5,3,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,2,4,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,8,1,5,2,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,6,8,3,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,4,5,1,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,7,2,4,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,2,8,6,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,6,1,8,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,8,6,4,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,8,3,1,4,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,8,7,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,8,7,4,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,8,7,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,3,2,4,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,1,7,2,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,7,3,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,6,2,7,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,8,7,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,8,7,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,1,6,5,8,7,10,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,6,3,7,2,5,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,4,6,3,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,8,4,1,3,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,4,2,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,3,1,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,3,5,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,7,8,3,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,8,2,5,1,4,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,8,7,2,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,6,5,8,2,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,7,8,3,5,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,5,7,6,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,6,8,5,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,8,3,5,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,3,5,4,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,2,4,6,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,7,6,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,7,6,3,2,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,2,4,7,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,2,4,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,6,4,3,5,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,5,2,4,6,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,2,4,6,3,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,2,5,3,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,7,5,2,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,2,3,6,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,2,6,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,7,4,2,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,2,7,5,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,5,2,6,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,4,8,7,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,6,4,2,5,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,4,8,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,7,5,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,3,2,7,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,3,2,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,6,4,2,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,2,8,4,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,5,2,7,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,5,2,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,7,5,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,1,5,3,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,2,6,5,7,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,4,8,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,7,1,4,3,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,1,2,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,2,8,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,4,2,6,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,8,2,6,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,8,2,6,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,5,2,6,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,4,2,7,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,3,4,5,2,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,9,3,4,5,6,7,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,8,7,4,5,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,8,4,5,6,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,2,3,1,6,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,2,8,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,3,5,8,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,6,7,1,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,1,7,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,8,3,2,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,7,2,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,7,4,5,3,2,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,6,3,8,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,1,3,8,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,1,8,7,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,4,2,7,8,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,8,1,3,5,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,4,3,7,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,1,4,5,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,2,5,6,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,3,6,5,8,10,9,7] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,4,3,6,8,7,5,10,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,4,3,8,10,7,9,5,6] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,4,3,6,7,10,8,9,5] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,4,6,5,3,8,7,10,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,4,6,5,3,8,10,9,7] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,6,8,5,7,3,4,10,9] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,8,7,5,10,4,9,3,6] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,7,5,10,8,4,9,3] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,5,8,6,7,3,10,9] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,8,5,10,6,7,9,3,4] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,4,7,10,6,9,8,3,5] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,5,6,10,7,8,9,3] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,3,1,6,5,8,10,9,7] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,3,1,6,8,7,5,10,9] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,3,1,8,10,7,9,5,6] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,3,1,6,7,10,8,9,5] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,6,3,5,1,2,8,7,10,9] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,6,3,5,1,2,8,10,9,7] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,5,3,8,2,7,1,4,10,9] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,3,7,2,10,4,9,1,6] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,3,7,2,10,8,4,9,1] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,3,8,6,2,7,1,10,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,6,3,5,10,2,7,9,1,4] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,6,10,1,9,8,2,5] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,3,6,10,7,1,8,9,2] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,6,4,5,1,8,7,10,9] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,6,4,5,1,8,10,9,7] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,3,8,4,5,7,1,2,10,9] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,3,7,4,5,10,2,9,1,6] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,4,5,10,8,2,9,1] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,8,4,7,6,1,3,10,9] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,5,10,4,7,6,2,9,1,3] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,10,4,8,6,9,5,1,3] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,4,10,8,7,3,9,1] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,8,5,6,7,1,10,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,3,4,10,5,6,7,9,1,2] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,7,4,10,5,6,9,8,1,3] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,6,10,5,9,7,8,1,4] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,10,6,7,8,9,1] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,1,6,7,2,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,3,6,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,6,5,3,2,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,4,7,6,5,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,2,7,6,5,4,3] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,5,8,1,6,7,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,5,8,4,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,4,1,5,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,3,5,1,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,4,5,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,5,3,4,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,6,1,8,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,8,7,4,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,1,6,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,2,7,5,3,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,2,6,8,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,2,5,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,5,8,7,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,7,2,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,7,2,5,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,4,8,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,5,8,6,3,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,3,5,4,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,2,5,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,5,2,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,4,7,2,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,2,5,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,3,7,5,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,4,7,2,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,2,6,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,2,3,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,6,8,5,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,2,7,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,5,4,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,2,3,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,7,5,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,6,2,4,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,7,3,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,4,2,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,2,6,5,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,8,3,7,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,8,3,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,3,2,7,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,6,4,5,2,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,7,3,2,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,7,4,5,6,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,2,3,6,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,2,1,6,8,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,5,4,8,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,2,1,8,4,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,7,3,4,6,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,3,7,2,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,3,4,5,2,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,3,4,5,2,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,7,1,2,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,3,4,6,2,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,5,4,3,8,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,1,3,6,4,5,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,3,6,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,3,7,8,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,1,2,6,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,3,4,7,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,3,8,6,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,2,4,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,3,4,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,6,1,8,9,2,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,6,8,1,9,2,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,6,8,9,1,2,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,5,1,6,7,8,9,3] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,1,6,7,8,9,5] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,6,1,8,9,10,7] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,4,5,6,1,2,9,7,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,6,8,1,2,7,9] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,6,8,9,1,10,7] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,4,5,1,6,7,8,2,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,6,1,7,8,9,2,3,4] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,5,6,1,7,8,9,10,2,3] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,5,2,6,7,8,9,4] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,5,6,1,7,8,9,10,2,4] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,4,3,6,7,8,9,5] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,6,1,7,8,9,10,2,5] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,1,5,6,7,8,9,4] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,1,7,8,9,10,2,6] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,2,5,8,7,4,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,8,7,3,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,4,1,6,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,8,5,7,2,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,8,5,7,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,7,3,6,2,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,2,8,7,3,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,2,1,7,4,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,1,4,3,8,7,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,2,6,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,8,7,2,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,4,5,7,3,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,8,7,6,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,8,7,1,4,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,8,7,2,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,4,7,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,4,8,5,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,5,8,7,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,5,3,6,7,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,3,4,7,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,3,6,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,7,3,5,4,6,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,2,4,7,5,6,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,8,3,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,1,5,7,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,8,5,3,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,4,1,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,4,8,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,3,1,4,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,5,1,2,7,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,3,7,6,4,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[1,3,8,7,6,5,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,7,2,6,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,7,2,6,3,5,4] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,2,1,4,3,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,1,6,3,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,7,6,5,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,2,5,7,4,8,6,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,8,7,5,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,7,4,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,3,4,1,5,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,3,1,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,3,8,4,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,3,8,4,2,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,2,8,4,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,5,4,8,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,4,8,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,7,1,2,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,8,7,2,5,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[9,7,8,5,4,3,2,1,6] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[1,2,3,4,6,5,7,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,5,4,6,7,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,8,4,1,7,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,6,7,5,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,1,4,7,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,1,2,7,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,1,6,7,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,6,4,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,6,2,7,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,2,6,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,1,6,7,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,6,1,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,3,6,5,8,9,10,7] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,4,3,6,7,8,5,10,9] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,4,3,8,7,9,10,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,4,3,6,7,8,9,10,5] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,4,5,6,3,8,7,10,9] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,4,5,6,3,8,9,10,7] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,6,5,7,8,3,4,10,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,8,5,9,7,3,10,6,4] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,6,5,7,8,9,10,3,4] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,4,5,6,7,8,3,10,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,8,5,6,7,9,10,3,4] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,4,7,6,8,9,3,10,5] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,4,5,6,7,8,9,10,3] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,1,6,5,8,7,10,9] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,1,6,5,8,9,10,7] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,1,6,7,8,5,10,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,1,8,7,9,10,5,6] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,1,6,7,8,9,10,5] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,3,5,6,1,2,8,7,10,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,3,5,6,1,2,8,9,10,7] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,3,7,5,1,8,4,2,10,9] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,3,9,5,1,7,4,10,6,2] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,3,7,5,1,8,9,10,4,2] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,5,6,7,8,1,2,10,9] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,3,9,5,6,7,1,10,4,2] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,7,8,6,10,9,2,5,1] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,5,6,7,8,9,10,1,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,6,1,8,7,10,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[6,3,4,5,7,8,1,2,10,9] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,3,4,5,9,7,1,10,6,2] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,3,4,5,7,8,9,10,1,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,5,4,6,7,1,8,3,10,9] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,5,4,6,7,1,9,10,3,2] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,4,8,6,1,9,5,10,3] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,4,6,7,8,9,1,10,3] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,6,7,8,1,10,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[8,3,4,5,6,7,9,10,1,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,7,4,5,6,8,9,1,10,3] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,6,5,7,8,1,9,10,4] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,4,7,6,3,1,2,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,8,1,5,2,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,8,4,1,5,2,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,1,4,2,3,5,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,4,1,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,3,2,8,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,4,8,2,3,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,3,6,7,1,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,8,3,5,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,5,4,8,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,7,3,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,6,8,3,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,8,6,3,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,3,4,5,9,6,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,4,5,6,8,9,2,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,3,7,2,1,6,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,4,7,6,2,5,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,4,7,3,6,2,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,8,7,5,6,4,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,7,5,6,2,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,7,5,6,2,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,7,5,6,4,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,2,3,6,7,8,9,1] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,2,5,6,7,8,9,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,2,3,4,8,9,1] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,3,6,2,4,7,8,9,1] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,3,2,6,7,8,9,1] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,8,2,4,5,9,1] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,4,5,2,3,8,9,1] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,3,7,2,5,8,9,1] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,5,9,2,3,6,1] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => [[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,3,8,9,2,5,6,1] => [3,3,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9]] => [[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,3,6,2,4,9,1] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,3,8,2,6,9,1] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,4,3,2,8,9,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,6,4,9,3,7,2,5,1] => [2,2,2,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9]] => [[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,6,5,4,3,9,2,7,1] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,5,2,3,6,7,8,9,10,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,3,2,5,6,7,8,9,10,1] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,7,2,3,4,8,9,10,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,3,6,2,4,7,8,9,10,1] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,3,2,6,7,8,9,10,1] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,9,2,3,4,5,10,1] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,3,7,8,2,4,5,9,10,1] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,7,4,5,2,3,8,9,10,1] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,4,3,7,2,5,8,9,10,1] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,4,3,2,7,8,9,10,1] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,9,10,1,3,4,5,6,2] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,3,8,9,10,2,4,5,6,1] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,4,3,8,9,2,5,6,10,1] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,8,3,6,2,4,9,10,1] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,4,3,8,2,6,9,10,1] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,5,4,3,2,8,9,10,1] => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,9,3,6,10,2,4,7,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,4,3,9,10,2,6,7,1] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,9,6,7,4,5,2,3,10,1] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,4,9,3,7,2,5,10,1] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,4,3,9,2,7,10,1] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,6,5,4,3,2,9,10,1] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[9,7,5,4,10,3,8,2,6,1] => [2,2,2,1,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[9,7,6,5,4,3,10,2,8,1] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[10,1,9,2,8,3,7,4,6,5] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,3,8,2,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,3,6,2,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,3,4,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,3,8,2,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,8,3,7,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,6,5,10,9,7,8,2] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,3,8,7,5,6,10,9,2] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,3,10,7,5,9,6,8,2] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,3,10,9,8,5,6,7,2] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,3,4,8,7,10,9,2] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,6,5,3,4,10,9,7,8,2] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,8,5,3,7,4,6,10,9,2] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,10,5,3,7,4,9,6,8,2] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,10,5,3,9,8,4,6,7,2] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,7,6,3,4,5,10,9,2] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,10,7,6,3,4,9,5,8,2] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,10,9,6,3,8,4,5,7,2] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,10,9,8,7,3,4,5,6,2] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,6,5,8,7,10,9,4] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,2,6,5,10,9,7,8,4] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,8,7,5,6,10,9,4] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,10,7,5,9,6,8,4] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,10,9,8,5,6,7,4] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,2,4,8,7,10,9,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,5,2,4,10,9,7,8,6] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,5,2,7,4,6,10,9,8] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,5,2,9,8,4,6,7,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,7,6,2,4,5,10,9,8] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,7,6,2,4,9,5,8,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,9,6,2,8,4,5,7,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,9,8,7,2,4,5,6,10] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,1,2,3,8,7,10,9,6] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,4,1,2,3,10,9,7,8,6] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,1,2,7,3,6,10,9,8] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,4,1,2,7,3,9,6,8,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,4,1,2,9,8,3,6,7,10] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,4,1,6,2,3,5,10,9,8] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,4,1,6,2,3,9,5,8,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,4,1,6,2,8,3,5,7,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,4,1,8,7,2,3,5,6,10] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,6,5,1,2,3,4,10,9,8] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,6,5,1,2,3,9,4,8,10] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,6,5,1,2,8,3,4,7,10] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,8,5,1,7,2,3,4,6,10] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,7,1,8,6,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,5,3,6,7,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,4,8,2,6,5,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,3,6,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,1,7,4,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,6,8,7,3,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,8,2,7,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,7,3,4,1,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,7,8,2,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,7,2,8,4,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,6,1,8,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,2,6,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,6,7,3,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,8,7,2,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,6,2,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,8,6,7,4,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,5,7,3,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,8,6,4,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,8,1,2,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,7,8,1,6,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,8,1,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,8,1,2,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,5,8,3,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,6,8,2,3,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,8,7,1,6,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,5,8,3,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,6,8,5,2,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,6,7,5,2,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,5,7,3,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,7,8,5,6,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,7,5,2,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,7,8,5,1,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,6,5,3,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,4,7,5,1,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,9,2,3,4,5,1,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,5,7,8,9,1,2,3,4] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,8,7,5,1,6,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,4,2,1,5,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,8,7,5,2,6,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,3,7,1,4,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,2,4,6,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,3,2,6,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,1,4,6,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,8,3,6,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,3,6,1,2,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,1,8,5,4,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,8,5,2,3,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,8,1,5,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,3,8,5,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,8,4,1,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,8,4,3,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,3,4,5,8,6,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,1,2,3,4,7,5,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,1,2,3,6,4,7,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,2,5,3,6,7,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,1,2,6,3,8,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,6,5,3,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,8,2,5,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,8,3,1,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,3,1,6,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,7,4,3,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,8,4,1,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,1,6,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,7,4,8,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,3,2,5,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,3,6,2,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,8,2,4,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,6,3,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,3,4,6,2,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,4,5,7,2,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,7,5,6,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,8,6,3,7,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,6,3,8,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,8,5,3,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,8,4,7,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,8,6,7,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,4,5,3,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,1,8,7,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,8,2,6,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,1,8,6,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,3,7,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,1,2,5,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,7,8,2,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,5,8,1,3,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,6,7,2,4,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,5,2,1,6,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,5,6,2,7,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,8,4,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,3,2,5,7,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,6,8,7,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,3,6,7,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,4,5,7,8,3] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,3,7,6,8,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,4,8,6,2,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,4,5,8,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,1,2,3,8,5,6,7,4] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,7,4,5,6,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[10,1,2,3,4,9,6,7,8,5] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,1,9,3,4,5,6,7,8,2] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,1,5,3,6,4,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,8,3,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,1,5,8,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,5,4,7,3,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,5,4,1,8,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,5,4,7,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,1,4,6,7,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,4,1,5,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,2,8,4,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,1,6,5,2,8,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,4,3,5,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,1,7,4,2,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,4,3,5,6,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,2,4,5,3,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,3,6,1,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,1,4,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,3,2,7,4,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,3,1,8,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,3,5,6,4,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,3,5,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,8,6,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,6,3,1,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,4,1,2,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,8,5,2,1,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,2,8,7,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,5,7,4,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,5,4,7,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,4,8,5,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,3,4,2,6,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,4,1,5,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,2,1,8,3,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,1,8,7,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,7,1,4,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,7,3,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,1,5,7,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,1,4,7,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,4,7,8,3,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,2,6,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,2,5,3,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,4,1,3,7,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,1,7,8,5,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,4,1,8,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,1,6,7,3,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,6,5,8,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,1,6,7,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,1,6,4,7,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,3,5,7,8,4] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,8,5,2,6,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,4,6,1,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,2,3,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,4,2,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,1,6,2,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,3,5,4,1,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,2,6,1,5,4,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,7,4,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,7,6,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,1,7,4,3,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,7,6,2,1,3,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,8,3,1,7,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,8,3,2,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,7,6,5,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,8,7,2,6,1,5] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[3,8,7,2,6,4,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,5,7,4,3,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,7,4,6,1,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,6,3,5,4,1,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,8,4,7,6,1,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,4,8,3,1,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,2,1,3,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,2,6,1,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,8,4,7,6,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,3,7,6,5,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,3,8,7,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,4,6,2,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,3,6,2,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,3,1,7,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,8,1,7,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,6,5,8,3,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,3,1,4,2,7,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,5,3,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,7,8,5,1,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,4,8,7,2,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,8,6,2,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,2,5,3,8,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,6,1,3,7,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,1,2,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,3,8,6,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,7,4,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,3,1,6,2,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,8,1,4,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,2,5,4,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,1,6,2,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,6,8,3,4,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,6,8,5,4,3,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,6,8,1,2,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,2,7,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,1,2,8,5,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,3,5,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,8,4,2,1,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,2,5,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,5,2,7,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,4,5,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,5,8,9,6,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,7,9,5,8,6] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,6,9,4,7,8,5] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,6,8,3,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,9,3,6,7,8,4] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,8,2,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,9,2,5,6,7,8,3] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,9,1,4,5,6,7,8,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,3,7,2,8,5,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,5,8,3,7,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,3,6,7,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,4,3,1,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,2,6,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,4,2,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,4,3,6,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,2,3,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,6,7,8,5,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,1,6,4,2,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,4,7,8,2,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,7,6,2,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,4,2,7,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,7,6,1,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,6,5,2,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,6,8,3,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,5,6,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,8,6,2,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,2,8,7,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,4,3,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,8,7,4,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,8,3,2,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,3,1,8,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,8,6,2,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,6,3,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,2,8,6,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,8,5,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,6,4,2,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,8,3,5,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,4,8,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,1,4,2,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,3,8,1,7,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,8,6,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,6,4,1,7,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,2,7,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,7,2,8,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,1,7,5,3,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,7,6,4,3,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,7,8,6,3,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,7,8,4,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,7,6,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,2,6,3,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,5,3,6,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,8,5,7,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,4,5,2,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,6,8,5,3,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,9,2,10,3,4,5,6,7,8] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,8,1,9,3,4,5,6,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,6,2,4,8,5,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,8,4,7,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,8,5,4,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,3,7,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,8,2,5,7,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,5,4,3,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,8,2,5,4,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,3,2,5,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,8,3,5,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,8,5,7,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,8,4,1,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,2,7,4,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,5,7,4,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,8,7,6,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,1,6,3,2,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,6,3,4,1,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,1,7,5,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,5,7,2,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,8,6,2,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,1,7,5,3,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,6,7,3,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,8,1,7,5,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,8,7,6,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,3,6,5,8,7,9] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,4,2,6,5,8,7,9] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,4,2,3,6,5,8,7,10,9] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,1,4,6,5,8,7,9] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,6,1,2,3,5,8,7,9] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,1,6,2,8,7,9] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,2,4,6,5,8,7,9] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,4,2,6,5,8,7,10,9] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,7,8,3,5,6,1,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,4,5,6,9,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,5,7,8,6,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,3,4,5,6,7,10,8,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,2,5,6,8,4,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,4,8,3,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,7,3,8,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,1,6,8,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,6,8,1,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,6,8,3,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,5,6,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,3,7,8,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,8,3,7,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,6,8,3,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,1,8,3,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,7,4,3,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,2,3,4,5,6,7,8,1,9] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,1,9,3,4,5,6,2,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,8,6,3,4,1,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,10,1,4,5,6,7,8,9,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,1,10,3,4,5,6,7,2,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,2,1,9,4,5,6,3,8] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,9,7,3,4,5,1,2,8] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,3,1,8,5,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,6,4,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,2,3,7,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,2,9,5,6,7,4] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,7,9,1,2,3,4,5,6] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,2,1,10,4,5,6,7,3,9] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,10,8,3,4,5,6,1,2,9] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,2,3,1,9,5,6,4,8] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,7,4,5,9,3,8] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,9,6,3,4,1,7,2,8] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,8,6,1,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,2,5,6,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,1,4,2,9,6,7,5] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,7,2,3,8,5,6,1,4] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,9,1,2,10,5,6,7,8,4] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,8,2,7,5,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,2,8,4,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,3,6,4,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,5,2,7,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,5,1,6,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,8,7,4,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,3,8,2,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,2,3,5,7,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,8,3,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,7,4,2,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,2,8,6,7,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,2,8,7,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,6,8,4,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,2,7,8,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,2,7,8,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,6,4,2,7,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,8,5,7,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,2,3,1,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,8,1,3,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,6,8,4,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,2,8,3,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,7,8,4,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,1,5,2,8,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,6,3,1,5,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,1,8,5,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,3,1,7,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,8,9,1,2,3,4,5] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,6,7,8,9,1,2,3] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,8,2,7,3,5,6,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,8,6,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,3,5,7,4,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,7,2,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,5,2,6,1,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,8,5,2,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,6,5,3,4,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,2,5,6,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,1,3,4,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,8,6,7,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,6,1,4,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,5,2,7,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,6,3,5,7,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,8,4,7,1,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,8,4,2,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,8,5,1,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,2,5,6,7,8,9] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,8,2,7,5,4,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,8,4,3,7,6,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,7,1,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,8,5,1,4,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,8,1,4,5,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,6,8,2,1,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,8,6,3,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,8,2,6,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,3,8,4,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,2,5,4,7,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,7,4,8,3,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,1,4,3,7,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,7,5,1,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,3,4,5,6,1,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,4,7,2,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,5,7,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,2,7,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,5,8,4,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,5,8,7,1,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,5,8,7,1,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,4,8,7,1,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,7,6,8,2,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,5,8,3,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,5,8,6,1,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,5,8,4,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,2,8,5,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,2,8,5,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,6,8,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,6,8,2,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,2,8,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,4,8,7,1,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,3,8,6,1,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,6,8,3,1,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,6,8,4,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,6,8,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,5,8,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,7,3,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,8,2,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,2,5,4,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,8,3,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,1,3,2,5,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,6,4,1,5,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,8,5,2,6,4,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,3,4,8,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,3,7,8,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,2,4,1,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,6,2,3,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,2,6,3,7,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,3,7,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,2,3,8,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,5,6,4,3,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,4,3,7,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,7,6,4,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,8,6,3,5,4,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[2,7,6,3,8,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,2,5,6,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,5,3,8,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,3,7,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,7,5,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,5,8,3,7,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,8,2,5,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,5,6,3,7,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,7,1,2,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,6,4,1,3,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,2,8,4,3,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,2,8,4,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,3,1,5,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,1,3,2,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,8,1,6,3,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,3,8,6,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,8,3,4,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,8,5,6,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,8,6,4,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,1,8,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,8,4,7,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,3,1,4,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,3,4,6,2,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,8,6,4,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,8,6,4,2,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,1,3,8,6,4,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,3,6,4,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,3,6,4,2,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,5,8,6,3,4,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,8,2,6,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,1,4,6,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,8,4,2,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,5,3,4,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,5,7,2,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,5,4,1,2,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,1,3,7,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,6,8,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,7,5,4,2,6,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,6,4,7,3,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,3,7,2,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,3,2,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,5,6,9,8,7,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,8,7,9,6,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,5,7,8,9,4,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,6,7,10,9,8,1] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,6,9,8,10,7,1] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,4,5,1,3,7,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,3,7,1,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,3,1,8,6,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,6,7,1,2,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,7,3,1,4,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,5,7,8,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,5,8,7,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,5,6,8,4,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,8,3,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,7,1,8,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,4,2,3,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,6,4,5,2,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,8,4,5,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,7,1,3,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,4,1,3,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,7,6,3,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,7,6,3,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,2,1,8,7,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,5,4,3,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,6,7,8,5,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,5,6,8,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,3,6,7,8,4,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,2,4,3,5,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,7,5,8,6,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,8,7,4,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,8,5,4,2,1,6,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,2,8,6,4,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,8,3,2,6,5,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,2,6,3,7,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,7,2,5,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,2,7,8,4,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,2,7,5,4,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,6,8,2,7,5,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,2,8,1,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,6,3,7,2,4,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,8,6,4,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,6,4,1,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,7,4,2,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,3,4,2,5,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,4,3,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,2,3,8,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,2,4,6,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,2,3,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,6,3,5,8,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,2,6,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,5,6,1,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,6,1,4,3,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,4,3,5,2,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[10,5,9,4,8,3,7,2,6,1] => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[1,3,5,2,4,7,6,9,8,10] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,5,1,4,7,6,9,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,1,5,2,7,6,9,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,2,5,3,7,6,9,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,4,2,5,3,7,6,9,8,10] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[8,3,6,5,4,1,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,8,4,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,1,2,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,4,2,3,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,5,3,7,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,2,4,1,7,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,5,2,4,3,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,2,8,6,7,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,2,5,1,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,5,1,7,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,2,7,8,1,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,3,1,5,6,7,8,9,2,4] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,4,1,5,6,7,8,9,2,3] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,1,4,2,5,8,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,5,1,2,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,4,3,6,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,8,7,4,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,8,1,3,5,7,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,2,8,1,3,5,7,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,8,2,1,3,5,7,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,2,7,8,1,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,8,2,9,1,3,5,7] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,2,7,9,1,3,5,8] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,2,3,7,1,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,7,9,1,3,6,8] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,5,7,9,1,4,6,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,2,6,8,10,1,3,5,7,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,4,2,8,1,3,5,7,9] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,8,10,1,3,5,7,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,4,6,2,1,3,5,7,9] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,8,2,10,1,3,5,7,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,6,8,9,2,1,3,5,7] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,8,10,2,1,3,5,7,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,6,7,8,2,1,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,7,1,3,5,8,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,8,2,9,1,3,5,7,10] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,8,2,5,9,1,3,6,7] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,2,7,9,1,3,5,8,10] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,2,3,7,9,1,4,5,8] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,5,7,9,1,3,6,8,10] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,4,5,7,9,2,3,6,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,5,7,9,1,4,6,8,10] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[8,6,3,2,1,7,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,6,4,9,7,5,3,2,1] => [2,2,2,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9]] => [[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,6,4,2,9,7,5,3,1] => [2,2,2,2,1] => [[1,2],[3,4],[5,6],[7,8],[9]] => [[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,2,7,3,8,4,9,5,1] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,6,7,8,2,9,3,1] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,6,7,1,8,2,9,3] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,7,10,8,6,5,4,3,2,1] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[9,7,5,10,8,6,4,3,2,1] => [2,2,2,1,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,2,9,6,3,10,7,4,1] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[7,3,8,4,9,5,1,10,6,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,1,3,4,2,5,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,3,6,2,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,6,8,2,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,3,8,4,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,4,3,7,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,4,3,5,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,6,1,8,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,3,7,8,4,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,6,3,8,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,6,1,8,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,7,8,5,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,6,3,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,5,6,1,8,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,8,4,7,3,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,4,1,2,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,1,3,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,3,8,6,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,4,7,2,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,6,1,3,8,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,6,3,8,1,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,7,6,2,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,7,2,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,2,4,8,1,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,3,2,7,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,3,7,2,6,5,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,6,2,7,1,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,4,7,2,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,8,7,3,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,4,2,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,3,7,8,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,8,4,2,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,2,1,8,3,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,4,2,6,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,8,2,3,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,3,2,6,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,3,2,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,2,7,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,6,8,4,2,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,9,6,7,8,1] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,9,5,6,7,8,1] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,9,4,5,6,7,8,1] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,6,7,10,8,9,1] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,9,7,6,8,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,6,10,7,8,9,1] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,9,6,5,7,8,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,9,5,4,6,7,8,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,10,5,6,7,8,9,1] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,9,4,3,5,6,7,8,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,10,4,5,6,7,8,9,1] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,9,7,8,6,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,3,7,4,1,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,7,3,5,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,5,3,6,7,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,3,1,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,2,7,8,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,5,1,2,6,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,5,1,2,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,1,4,5,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,7,3,8,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,3,4,8,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,6,3,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,3,5,1,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,1,5,8,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,4,1,7,2,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,5,1,3,8,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,3,6,7,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,6,2,4,1,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,1,3,6,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,6,2,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,3,8,4,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,3,7,2,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,8,2,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,2,8,4,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,8,1,6,4,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,6,3,4,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,8,6,4,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,5,6,4,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,5,6,4,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,8,6,4,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,5,6,4,2,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,5,6,4,2,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,8,6,4,2,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,8,6,4,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,1,6,5,8,7,10,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,5,4,7,6,9,8,10,1] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,8,2,6,5,3,4,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,5,2,3,4,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,6,2,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,2,3,8,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,8,4,1,3,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,1,2,3,7,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,5,6,7,2,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,5,3,4,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,3,4,8,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,5,4,1,3,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,6,5,1,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,5,2,1,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,8,6,3,5,1,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,7,6,3,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,8,5,7,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,5,2,7,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,3,4,5,6,7,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,6,4,2,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,2,3,6,8,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,7,8,6,2,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,1,6,5,3,7,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,7,6,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,1,7,8,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,2,3,4,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,9,6,2,3,4,5,8,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,8,2,3,4,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,8,4,5,6,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,5,6,9,7,10,8] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,5,6,9,10,1,7,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,3,8,7,6,2,5,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,8,2,7,6,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,3,6,1,7,5,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,5,2,1,7,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,7,5,8,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,7,6,8,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,2,1,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,5,1,7,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,5,7,6,8,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,3,5,4,6,7,8,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,3,5,4,7,6,9,8,10] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[5,8,1,4,2,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,2,3,1,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,4,8,1,7,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,8,1,4,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,8,6,4,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,8,3,1,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,6,8,3,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,4,6,2,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,1,5,2,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,2,1,6,5,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,6,8,7,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,6,8,4,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,8,4,7,2,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,1,2,4,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,1,4,5,7,2,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,1,8,6,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,6,8,4,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,8,2,3,4,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,8,7,4,5,6,3,2,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,5,1,2,4,8,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,2,1,3,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,2,8,6,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,3,4,8,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,3,2,1,4,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,1,6,3,5,4,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,2,1,7,8,6,4,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,7,1,2,5,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,4,2,8,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,1,4,8,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,1,7,5,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,1,7,5,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,8,4,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,3,1,8,5,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,6,3,4,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,7,3,4,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,7,8,9,2,3,4] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,8,9,10,2,3,4,5,6,7] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,7,2,8,9,3,4,5,6] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,6,2,7,8,9,3,4,5] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,5,2,6,7,8,9,3,4] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,5,6,7,8,9,10,2,3,4] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,4,2,5,1,6,7,8,9] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,5,3,8,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,6,3,8,1,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,3,5,2,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,5,2,4,1,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,5,7,3,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,5,6,4,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,7,5,1,4,2,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,2,4,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,3,4,2,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,2,5,8,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,7,6,3,5,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,7,1,5,6,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,6,8,2,5,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,7,4,2,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,3,9,1,2,6,7] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,6,5,4,3,10,1,2,7,8] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,3,2,4,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,6,1,4,5,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,6,4,1,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,7,6,3,8,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,8,4,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,8,4,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,5,1,8,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,9,7,1,8,6] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,9,6,7,1,8,5] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,9,5,6,1,7,8,4] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,9,5,1,7,4,8,6] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,6,7,10,9,1,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,6,10,8,9,1,7] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,6,10,8,1,9,7] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,6,10,8,1,7,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,6,10,1,7,8,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,5,10,7,8,9,1,6] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,10,7,8,1,9,6] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,10,7,8,1,6,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,10,7,1,9,6,8] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,10,7,1,6,8,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,10,1,6,7,8,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,10,6,7,8,1,9,5] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,10,6,7,8,1,5,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,10,6,7,1,8,9,5] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,10,6,7,1,9,5,8] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,10,6,7,1,5,8,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,10,6,1,8,5,9,7] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,10,6,1,8,5,7,9] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,10,6,1,5,7,8,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,10,1,5,6,7,8,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,10,5,6,1,8,9,4,7] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,10,5,6,1,8,4,9,7] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,10,5,6,1,8,4,7,9] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,10,5,6,1,4,7,8,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,10,5,1,7,4,9,6,8] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,10,5,1,7,4,6,8,9] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,10,5,1,4,6,7,8,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,10,4,1,6,3,8,5,9,7] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,10,4,1,6,3,8,5,7,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,10,4,1,6,3,5,7,8,9] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,10,4,1,3,5,6,7,8,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,8,7,2,6,4,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,5,1,7,4,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,5,2,7,4,1,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,5,8,1,6,4,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,8,2,6,4,1,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,3,2,8,1,7,5,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[2,1,3,4,5,6,8,7,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,6,8,7,9,1] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,8,7,1,3,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,7,6,2,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,7,6,1,4,5,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,2,7,5,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,2,5,3,1,4,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,1,7,6,2,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,3,1,2,8,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,3,1,8,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,6,2,3,1,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,7,5,2,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,3,2,7,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,4,1,3,2,6,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,8,5,6,3,1,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,4,1,3,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,4,1,3,2,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,4,5,3,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,7,4,1,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,6,3,2,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,3,2,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,1,6,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,2,4,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,4,8,7,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,1,6,7,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,6,5,7,2,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,2,6,7,4,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,2,4,3,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,3,6,4,7,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,5,3,6,7,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,3,4,7,6,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,2,7,1,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,5,2,1,8,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,4,7,6,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,8,5,4,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,4,7,2,8,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,3,6,4,2,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,8,5,3,4,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,3,1,5,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,8,3,2,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,4,7,8,6,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,4,3,8,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,4,8,5,6,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,6,8,3,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,4,5,3,8,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,7,4,5,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,2,7,5,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,2,6,8,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,7,1,5,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,6,4,7,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,3,6,7,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,2,4,7,3,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,2,4,6,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,2,5,4,3,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,4,2,7,3,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,2,8,7,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,3,5,2,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,2,3,5,8,4] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,3,6,5,4,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,6,5,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,3,2,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,5,2,4,7,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,8,4,3,2,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,3,2,6,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,5,3,8,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,2,8,4,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,2,8,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,7,2,4,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,2,8,7,6,1,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[8,6,3,2,5,7,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,1,6,5,8,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,6,1,5,8,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,2,7,1,4,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,8,2,5,1,7,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,7,2,1,4,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,5,8,2,7,4,1,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,2,1,7,5,8,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,8,5,3,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,6,7,8,1,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,5,1,3,7,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,2,6,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,6,5,8,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,6,7,8,1,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,1,6,5,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,6,7,8,1,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,5,2,7,3,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,3,7,8,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,4,3,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,4,3,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,5,4,2,3,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,4,6,3,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,6,5,3,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,1,2,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,5,2,3,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,8,7,2,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,8,5,7,2,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,5,8,3,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,7,5,8,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,7,8,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,3,7,5,4,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,1,2,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,7,5,3,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,8,7,5,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,1,2,4,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,2,4,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,2,4,7,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,4,2,3,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,4,8,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,5,1,2,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[9,2,3,4,5,6,1,7,8] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,5,6,7,8,9,2,4] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,3,5,6,7,8,9,4] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,3,8,5,6,2,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,6,7,2,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,1,5,3,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,6,1,5,3,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,8,1,7,2,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,4,8,2,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,5,4,7,1,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,7,5,1,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,2,3,5,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,1,3,5,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,6,4,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,6,2,1,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,5,6,1,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,5,6,1,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,4,2,7,6,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,3,1,4,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,4,6,3,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,4,6,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,3,2,1,6,4,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,3,4,6,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,3,6,5,2,4,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,1,2,8,6,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,2,7,5,4,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,1,4,5,3,6,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,7,4,6,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,7,4,6,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,4,1,2,5,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,3,2,5,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,6,2,1,4,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,4,6,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,4,7,2,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,2,6,5,8,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,8,5,7,4,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,5,2,4,8,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,2,7,5,6,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,3,4,6,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,5,4,8,1,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,5,6,4,7,2,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,6,2,4,3,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,8,1,3,4,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,5,1,3,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,7,5,3,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,7,1,4,3,2,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,1,4,8,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,3,4,2,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,3,2,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,6,8,4,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,3,2,8,5,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,6,8,4,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,5,2,7,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,5,2,8,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,3,1,8,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,1,5,7,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,1,7,2,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,2,6,3,7,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,6,2,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,8,2,1,4,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,2,4,6,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,2,1,4,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,8,2,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,3,8,2,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,4,2,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,1,4,3,6,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,4,1,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,4,6,3,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,4,3,6,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,4,6,2,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,4,6,7,2,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,4,6,7,2,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,4,6,3,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,6,7,2,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,6,7,2,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,6,7,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,3,6,7,2,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,2,4,5,3,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,6,4,5,7,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,4,5,3,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,6,4,2,3,5,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,6,2,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,6,2,1,4,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,2,4,1,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,2,4,5,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,2,4,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,6,2,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,6,7,2,1,4,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,7,2,1,4,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,4,5,1,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,6,7,5,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,6,2,3,7,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,6,3,5,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,4,7,3,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,5,8,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,8,7,3,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,1,6,7,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,7,8,5,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,5,3,6,4,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,7,8,6,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,8,3,5,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,3,7,1,4,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,1,5,3,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,6,4,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,4,2,7,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,4,8,7,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,1,5,3,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,6,8,1,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,1,6,4,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,6,5,4,2,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,3,6,2,1,8,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,4,8,6,3,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,1,5,3,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,3,1,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,2,4,6,8,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,7,3,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,4,7,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,5,8,6,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,7,3,1,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,7,6,4,2,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,5,1,7,4,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,4,7,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,6,3,8,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,6,4,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,6,7,9,1,2,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,7,8,9,1,2,6] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,5,6,7,8,9,1,2,4] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,6,8,9,10,1,2,7] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,5,6,7,8,9,10,1,2,4] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,4,5,6,7,8,1,2,9,10] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,4,5,6,9,1,2,7,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,6,1,2,7,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,1,6,7,8,9,2,3,4] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,8,6,3,7,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,1,6,2,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,3,8,1,6,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,1,6,2,8,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,4,1,7,8,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,5,7,8,4,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,7,8,4,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,7,4,5,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,3,5,4,2,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,1,8,5,3,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,8,1,6,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,8,4,6,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,7,5,3,4,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,1,8,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,1,4,8,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,3,2,4,5,6,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,7,1,4,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,8,2,4,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,4,6,1,7,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,1,4,6,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,4,7,1,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,7,3,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,4,6,8,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,5,6,7,3,8,9,4] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,4,3,5,7,8,9,6] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,6,8,3,7,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,4,2,5,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,2,8,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,2,4,3,7,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,1,4,3,7,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,7,2,5,1,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,7,1,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,7,8,4,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,4,6,8,7,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,4,7,6,5,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,1,8,6,7,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,8,5,1,7,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,2,8,5,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,4,5,6,7,9,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,5,3,2,4,7,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,2,5,8,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,2,6,3,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,2,1,6,4,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,6,5,1,3,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,8,4,7,5,2,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,1,4,6,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,6,1,4,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,7,6,1,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,5,2,1,3,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,6,4,7,2,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,7,4,6,8,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,3,7,2,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,3,1,7,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,4,8,1,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,1,6,8,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,8,5,1,6,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,1,6,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,3,1,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,7,4,1,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,4,2,8,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,4,2,6,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,4,2,6,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,4,6,2,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,2,3,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,3,2,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,6,5,2,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,6,7,5,4,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,4,3,2,6,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,9,10,1,5,6,7,3,4,2] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,5,6,7,1,3,4,2] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,1,5,6,3,4,7,2] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,5,6,1,3,4,7,2] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,5,6,3,4,7,1,2] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,5,6,10,1,3,4,7,2] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,5,6,10,3,4,7,1,2] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,1,5,6,7,3,2,4] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,5,6,7,1,3,2,4] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,1,5,6,3,7,2,4] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,5,6,1,3,7,2,4] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,5,6,3,7,1,2,4] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,5,6,10,1,3,7,2,4] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,5,6,10,3,7,1,2,4] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,1,5,6,3,2,4,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,5,6,1,3,2,4,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,5,6,3,1,2,4,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,5,6,3,2,4,7,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,9,5,6,10,1,3,2,4,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,5,6,10,3,1,2,4,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,5,6,10,3,2,4,7,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,9,10,1,5,3,6,7,2,4] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,5,1,3,6,7,2,4] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,5,3,6,7,1,2,4] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,5,10,1,3,6,7,2,4] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,5,10,3,6,7,1,2,4] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,1,5,3,6,2,4,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,5,1,3,6,2,4,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,5,3,6,1,2,4,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,5,3,6,2,4,7,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,9,5,10,1,3,6,2,4,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,5,10,3,6,1,2,4,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,5,10,3,6,2,4,7,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,9,5,3,6,10,1,2,4,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,5,3,6,10,2,4,7,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,9,10,1,3,6,7,2,4] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,5,9,10,3,6,7,1,2,4] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[8,5,9,10,1,3,6,2,4,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,5,9,10,3,6,1,2,4,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,5,9,10,3,6,2,4,7,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,5,7,4,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,2,5,1,8,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,5,7,8,6,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,4,5,1,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,8,3,6,1,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,1,2,3,7,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,2,5,1,4,3,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,1,3,2,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,1,2,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,6,2,7,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,2,1,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,7,5,2,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,7,5,3,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,7,6,4,3,1,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[1,4,6,8,2,5,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,8,2,4,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,6,8,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,3,1,8,2,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,4,1,3,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,3,2,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,7,3,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,1,3,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,1,8,3,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,2,8,3,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,8,3,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[10,1,9,5,6,7,8,2,3,4] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,10,8,6,7,2,3,4,5] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,1,9,10,7,2,3,4,5,6] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,1,8,9,2,3,4,5,6,7] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,10,9,6,7,8,2,4,5] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,9,10,8,7,2,4,5,6] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,8,9,10,2,4,5,6,7] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,3,4,1,8,6,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,6,3,5,8,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,6,5,2,4,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,7,8,6,2,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,8,3,2,5,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,7,8,4,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,4,6,2,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,4,7,8,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,8,7,1,5,6,4,3,2] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[9,1,7,8,6,5,4,3,2] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,5,7,1,8,6,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,8,6,5,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,7,3,1,2,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,6,5,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,2,6,1,4,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,6,8,4,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,6,8,5,4,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,7,5,6,2,4,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,4,5,6,7,2,9,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,6,7,1,9,2,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,4,1,6,5,8,7,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,5,1,6,3,8,7,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,6,1,7,3,8,5,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,6,1,8,3,9,5,7] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,6,1,7,3,5,9,8] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,5,1,3,7,6,9,8] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,5,4,6,1,8,7,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,5,1,6,3,8,7,10,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,2,5,1,7,6,8,3,9] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,6,1,7,3,8,5,10,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,2,6,1,7,3,9,8,5] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,6,1,8,3,9,5,10,7] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,2,5,1,3,6,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,1,7,3,5,8,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,6,1,8,3,9,5,7,10] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,2,5,1,3,8,9,6,7] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,6,1,7,3,5,9,8,10] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,1,6,7,4,5,9,8] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,5,1,3,7,6,9,8,10] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,4,5,2,3,7,6,9,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,3,4,2,7,1,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,1,3,8,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,5,6,8,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,2,7,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,7,1,2,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,6,1,8,5,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,3,8,4,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,2,8,3,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,8,5,2,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,4,7,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,5,6,4,3,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,3,8,6,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,2,5,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,3,2,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,8,1,3,2,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,4,1,6,7,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,3,6,2,4,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,8,3,6,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,6,1,3,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,8,4,3,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,1,2,7,8,5,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,7,5,3,4,1,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,1,2,8,7,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,2,6,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,4,2,1,8,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,6,2,3,7,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,8,1,7,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,4,2,7,8,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,7,8,2,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,4,7,2,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,8,6,7,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,2,7,8,3,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,2,7,1,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,2,1,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,2,1,7,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,7,2,3,1,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,6,7,3,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,8,3,7,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,1,3,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,4,2,6,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,5,6,8,1,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,6,8,1,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,8,6,7,9,5,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,5,6,7,9,1,4] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,8,4,5,6,7,9,3,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,4,5,6,7,9,2,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,7,9,1,8,6] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,6,7,1,9,5,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,9,7,8,10,6,1] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,5,8,1,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,6,1,7,9,4,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,9,6,7,8,10,1,5] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,5,1,6,7,9,8,3] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,9,5,6,7,8,10,4,1] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,7,5,6,8,1,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,5,6,7,9,2,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,9,4,5,6,7,8,10,3,1] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,4,5,6,7,9,1,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,4,5,6,7,8,10,1,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,6,8,10,1,9,7] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,7,6,9,8,5,1] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,7,8,1,10,6,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,6,9,1,7,8,5] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,6,7,1,8,10,5,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,3,4,6,2,8,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,6,8,7,9,1,3] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,5,7,1,6,9,4,8] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,5,6,1,7,8,10,9,4] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,7,6,5,2,8,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,5,8,6,7,9,2,1] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,8,6,7,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,1,5,7,9,3,8] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,1,6,7,8,10,3,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,5,4,1,6,8,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,5,6,7,9,1,3] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,1,4,6,7,9,8,2] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,5,6,7,8,10,2,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,2,3,5,6,7,9,1,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,4,5,6,7,8,10,9,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,5,2,1,7,6,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,8,5,6,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,1,4,8,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,4,6,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,6,4,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,6,4,3,1,7,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,5,6,7,1,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,7,3,6,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,6,4,8,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,6,4,2,8,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,1,4,3,7,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,7,5,1,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,5,3,7,8,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,7,6,8,2,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,3,7,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,4,1,6,7,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,2,6,5,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,4,3,2,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,3,8,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,4,3,8,2,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,4,3,2,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,4,5,3,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,8,6,5,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,7,5,1,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,7,4,1,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,4,3,6,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,4,5,6,8,3] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,7,1,4,5,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,3,4,5,6,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,1,4,6,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,5,4,6,8,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,8,1,6,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,2,5,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,3,4,1,7,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,4,1,7,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,3,1,4,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,3,1,5,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,5,2,7,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,1,4,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,1,3,5,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,7,8,6,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,7,2,3,1,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,5,3,6,2,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,1,4,6,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,1,7,4,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,2,1,8,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,7,3,8,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,3,8,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,4,1,7,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,4,7,6,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,5,6,8,4,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,2,4,7,8,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,6,3,8,2,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,2,7,4,5,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,2,6,1,5,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,6,2,5,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,5,1,6,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,6,3,7,5,9,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,2,6,4,7,5,9,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,6,3,7,4,8,5,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,4,2,7,6,1,5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,4,7,1,2,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,7,6,1,2,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,6,2,1,5,3,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,8,1,6,2,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,4,2,5,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,4,5,7,2,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,3,2,7,1,8,9] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,3,2,6,1,7,8,9] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,5,1,6,7,8,9] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,1,5,6,7,8,9] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,6,5,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,3,5,2,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,3,5,1,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,2,5,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,4,7,1,3,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,3,1,5,4,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,6,7,4,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,6,7,1,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,4,7,3,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,8,1,6,5,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,2,7,4,6,9,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,4,3,6,5,8,7,9] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,5,7,2,4,6,9,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,5,7,2,4,6,9,8,10] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,5,7,2,9,4,6,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,6,1,4,8,3,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,1,7,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,1,3,7,4,8,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,5,1,6,4,7,8,9] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,7,2,1,8,3,4,9,5] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,4,1,7,2,8,5,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,7,2,1,4,8,5,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,6,1,7,5,3,8,9] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,2,6,1,7,5,8,9] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,5,1,8,3,9,6] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,7,8,2,1,5,9,6] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,7,1,8,6,4,9] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,3,2,7,1,8,6,9] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,8,1,9,7,5,3] => [3,2,2,2] => [[1,2,3],[4,5],[6,7],[8,9]] => [[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,2,8,1,9,7,5] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,4,3,2,8,1,9,7] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,1,5,3,6,7,8,9,10] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[5,6,2,1,3,7,4,8,9,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,5,1,6,4,7,8,9,10] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,7,2,1,8,3,4,9,5,10] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,6,4,1,7,2,8,5,9,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,6,7,2,1,4,8,5,9,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,2,6,1,7,5,3,8,9,10] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,3,2,6,1,7,5,8,9,10] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,7,1,8,2,9,5,10,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,8,9,3,2,1,4,5,10,6] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,7,2,5,1,8,3,9,6,10] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,3,7,8,2,1,5,9,6,10] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,2,7,1,8,6,4,9,10] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,4,3,2,7,1,8,6,9,10] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,9,2,1,6,3,10,7,4] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,3,8,6,4,1,9,2,10,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,8,2,6,1,9,4,10,7] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,4,3,8,9,2,1,6,10,7] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,2,8,1,9,7,5,3,10] => [4,2,2,2] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,6,2,8,1,9,7,5,10] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,5,4,3,2,8,1,9,7,10] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,2,9,1,10,8,6,4] => [4,2,2,2] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,3,7,2,9,1,10,8,6] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,5,4,3,2,9,1,10,8] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,6,3,7,8,4,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,3,7,8,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,5,7,8,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,4,7,8,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,6,3,7,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,8,2,3,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,8,1,2,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,5,8,1,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,6,8,2,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,6,8,4,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,7,2,6,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,8,3,1,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,5,8,3,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,7,3,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,6,2,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,3,5,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,3,5,4,2,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,8,1,6,5,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,2,5,8,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,7,1,4,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,1,4,3,2,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,3,2,1,6,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,2,6,7,8,4,5,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,8,2,7,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,7,1,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,3,1,8,4,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,5,1,8,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,7,4,8,2,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,5,7,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,7,6,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,1,7,6,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,8,3,1,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,5,1,7,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,7,8,2,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,1,8,4,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,4,6,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,2,8,6,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,2,8,6,5,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,8,1,6,5,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,7,3,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,7,6,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,2,4,7,6,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,7,1,6,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,4,6,7,5,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,8,1,7,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,2,6,7,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,2,8,7,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,7,3,5,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,3,2,7,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,8,6,2,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,1,6,2,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,3,8,1,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,3,5,2,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,5,3,8,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,4,7,2,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,4,7,1,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,6,8,4,2,5,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,8,1,3,4,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,8,3,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,4,8,3,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,5,4,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,2,8,6,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,2,7,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,7,4,2,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,4,2,8,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,4,6,2,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,1,6,2,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,3,7,6,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,1,2,8,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,2,3,1,8,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,1,3,8,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,8,2,5,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,3,7,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,8,1,2,4,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,8,3,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,4,2,1,3,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,7,4,1,3,2,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,1,8,3,5,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,6,8,2,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,1,8,3,2,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,6,1,5,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,6,4,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,8,6,4,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,6,2,5,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,8,7,4,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,2,6,8,7,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,2,1,8,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,5,7,2,4,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,4,6,1,8,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,6,3,8,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,1,6,3,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,3,6,2,1,5] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,6,8,2,5,7,1,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,8,2,5,7,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,5,8,3,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,4,7,3,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,6,2,7,1,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,2,7,1,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,4,1,7,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,1,6,2,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,7,1,6,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,3,8,7,1,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,7,6,1,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,7,6,1,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,7,6,1,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,3,5,1,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,3,8,4,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,3,1,7,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,3,4,1,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,3,5,1,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,6,3,5,1,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,3,1,7,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,3,8,4,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,1,4,6,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,3,1,6,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,3,1,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,6,3,1,7,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,4,2,7,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,2,7,3,4,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,4,5,6,8,3] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,2,5,6,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,1,4,6,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,8,1,5,6,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,3,1,5,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,3,1,6,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,1,4,6,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,1,5,6,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,8,1,7,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,1,5,3,7,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,3,8,4,6,7,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,3,2,6,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,3,4,2,7,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,4,2,7,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,1,3,5,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,7,2,3,4,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,3,4,5,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,9,4,5,6,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,2,3,9,5,6,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,1,2,3,4,9,6,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,1,2,3,4,5,9,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,10,3,4,5,6,7,8,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,1,2,10,4,5,6,7,8,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,4,1,2,9,5,6,7,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,2,3,10,5,6,7,8,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,5,1,2,3,9,6,7,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,1,2,3,4,10,6,7,8,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[5,6,1,2,3,4,9,7,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,1,2,3,4,5,10,7,8,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[6,7,1,2,3,4,5,9,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,1,2,3,4,5,6,10,8,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,5,7,2,8,3,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,7,5,3,1,8,6,4,2] => [2,2,2,2,1] => [[1,2],[3,4],[5,6],[7,8],[9]] => [[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[9,6,3,8,5,2,7,4,1] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,9,6,3,7,4,1] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => [[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[9,5,1,6,2,7,3,8,4] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,5,1,8,4,7,3,6,2] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,3,6,2,9,5,1] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,8,4,6,2,9,5,1] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,4,7,2,5,8,3,6,1] => [3,3,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9]] => [[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[9,4,6,1,8,3,5,7,2] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,5,7,2,9,4,6,1] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,3,9,4,5,6,1] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,3,7,2,9,4,5,6,1] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,3,7,2,9,4,6,1] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => [[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,9,3,8,2,7,1] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,8,2,9,3,7,1] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,6,5,4,7,1,8,2] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,9,3,6,5,4,7,1] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,8,2,9,3,7,1] => [3,3,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9]] => [[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,8,2,9,3,7,1] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,2,7,4,5,6,3,8,1] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,6,3,9,2,8,1] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,6,3,9,2,8,1] => [3,3,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9]] => [[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,8,6,4,2,9,7,5,3,1] => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[10,7,4,1,8,5,2,9,6,3] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[9,6,3,8,5,2,10,7,4,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[9,5,1,7,3,10,6,2,8,4] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,6,2,7,3,8,4,9,5,1] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,3,8,4,10,6,2,9,5,1] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,4,7,3,10,6,2,9,5,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[10,5,8,3,6,1,9,4,7,2] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[9,4,7,2,10,5,8,3,6,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[10,5,7,2,8,3,9,4,6,1] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,3,10,5,7,2,9,4,6,1] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,3,9,4,7,2,10,5,6,1] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,5,7,1,10,4,6,8,2] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,4,6,8,2,9,3,5,7,1] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,4,5,6,7,1,8,2,9,3] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,2,9,3,10,4,5,6,7,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,3,8,2,10,4,5,6,7,1] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,9,3,7,1,10,4,8,2] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,10,4,8,2,9,3,7,1] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,9,3,8,2,10,4,7,1] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,5,9,3,8,2,10,4,7,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[9,2,7,6,5,4,10,3,8,1] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[10,3,7,6,5,4,8,1,9,2] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,2,10,3,7,6,5,4,8,1] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,5,4,9,2,10,3,8,1] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,5,10,3,9,2,8,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,5,9,2,10,3,8,1] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,5,6,4,9,2,10,3,8,1] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,7,4,9,2,10,3,8,1] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,3,8,4,9,1,10,2] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,6,7,3,8,4,10,2,9,1] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,8,4,7,3,10,2,9,1] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,8,4,7,3,10,2,9,1] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,3,6,7,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,2,6,1,8,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,2,7,8,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,8,4,1,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,7,5,1,4,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,5,7,3,6,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,6,4,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,3,7,4,1,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,2,7,1,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,2,6,5,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,5,7,3,2,6,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,1,2,3,6,4,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,2,3,5,8,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,7,8,1,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,2,8,1,6,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,4,1,5,7,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,5,1,6,2,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,1,4,3,7,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,7,4,2,8,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,8,6,1,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,4,6,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,1,3,7,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,1,3,6,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,6,7,8,9,1,3] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,6,7,8,4,5,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,5,6,2,1,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,5,6,7,8,9,10,1,3] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,7,5,6,2,1,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,3,8,4,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,2,7,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,3,5,2,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,3,4,6,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,2,3,7,1,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,8,2,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,5,1,6,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,1,5,6,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,5,8,1,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,3,8,1,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,4,3,5,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,8,2,7,3,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,8,4,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,5,3,8,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,2,4,3,5,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,3,7,8,5,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,3,8,7,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,2,6,8,7,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,2,7,1,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,6,7,1,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,7,1,4,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,3,1,8,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,2,3,6,7,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,6,1,5,4,7,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,2,6,1,5,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,4,7,1,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,5,4,3,2,6] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,6,4,7,1,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,4,7,6,2,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,4,1,6,2,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,4,6,3,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,6,5,2,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,2,4,6,3,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,5,2,7,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,8,2,7,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,3,6,4,5,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,6,5,1,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,3,6,5,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,8,1,3,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,4,7,3,2,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,8,4,1,3,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,5,7,8,1,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,7,5,8,1,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,3,7,8,1,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,6,8,7,1,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,6,8,3,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,6,3,8,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,6,8,5,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,8,3,4,1,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,4,1,2,7,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,3,8,6,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,2,5,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,7,6,8,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,8,3,1,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,7,6,5,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,2,8,6,5,1,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[8,6,5,2,7,1,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,8,2,7,1,4,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,5,8,2,1,6,4,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[3,2,1,6,5,8,4,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,8,5,7,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,4,5,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,8,5,2,1,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,1,3,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,4,6,1,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,4,1,8,7,6,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,6,8,7,2,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,7,5,4,1,6,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,5,7,4,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,3,4,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,3,2,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,8,3,1,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,8,2,4,5,3,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,4,5,7,1,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,8,2,4,5,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,6,4,2,7,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,8,4,7,6,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,5,4,1,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,4,7,8,5,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,3,7,6,1,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,7,1,4,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,8,7,6,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,1,2,3,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,1,6,4,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,4,1,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,3,2,7,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,5,8,4,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,8,2,5,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,7,1,5,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,7,8,1,6,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,8,1,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,5,8,4,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,5,6,1,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,4,2,7,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,5,8,1,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,5,6,1,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,5,8,1,4,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,8,1,2,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,5,8,1,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,7,5,2,8,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,5,7,8,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,5,8,3,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,7,3,8,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,4,2,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,9,1,2,3,4,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,5,6,7,9,1,2,3,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,10,1,2,3,4,5,6,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,5,6,7,8,10,1,2,3,9] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[8,5,4,7,6,3,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,5,4,8,7,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,5,8,1,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,8,4,2,7,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,6,2,8,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,8,2,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,4,3,8,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,1,6,2,7,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,8,5,1,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,6,2,1,5,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,1,3,8,7,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,3,6,5,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,7,4,8,3,9,2] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,3,8,2,7,1,9] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,5,8,4,9,3,10,2] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,5,6,8,10,7,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,4,5,6,7,8,2,1,9] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,6,7,8,1,2,3,9] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,8,1,6,3,7,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,2,4,8,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,6,3,5,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,4,6,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,5,4,1,8,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,8,5,3,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,2,1,6,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,8,2,6,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,1,3,7,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,7,1,4,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,7,8,6,3,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,6,3,4,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,1,2,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,6,1,2,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,2,1,8,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,6,1,8,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,2,7,1,5,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,1,5,4,7,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,5,4,8,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,4,8,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,7,3,1,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,2,6,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,2,8,1,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,9,10,4,5,6,2,3,1,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,4,5,6,10,2,3,1,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,4,5,2,3,6,1,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,4,5,10,2,3,6,1,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,4,5,2,3,6,10,1,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,4,5,9,10,2,3,6,1,7] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,4,5,9,2,3,6,10,1,7] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,4,5,6,2,1,3,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,4,5,6,10,2,1,3,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,4,5,2,6,1,3,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,4,5,10,2,6,1,3,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,4,5,2,6,10,1,3,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,4,5,9,10,2,6,1,3,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,4,5,9,2,6,10,1,3,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,4,5,2,1,3,6,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,4,5,10,2,1,3,6,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,4,5,2,10,1,3,6,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,4,5,2,1,3,6,10,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,4,5,9,10,2,1,3,6,7] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,4,5,9,2,10,1,3,6,7] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,4,5,9,2,1,3,6,10,7] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,4,2,5,6,1,3,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,4,10,2,5,6,1,3,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,4,2,5,6,10,1,3,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,4,9,10,2,5,6,1,3,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,4,9,2,5,6,10,1,3,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,4,2,5,1,3,6,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,4,10,2,5,1,3,6,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,4,2,5,10,1,3,6,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,4,2,5,1,3,6,10,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,4,9,10,2,5,1,3,6,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,4,9,2,5,1,3,6,10,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,4,2,5,9,10,1,3,6,7] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,4,2,5,9,1,3,6,10,7] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,8,9,10,2,5,6,1,3,7] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,8,9,2,5,6,10,1,3,7] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,8,9,10,2,5,1,3,6,7] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,8,9,2,5,10,1,3,6,7] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,8,9,2,5,1,3,6,10,7] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,8,2,5,9,10,1,3,6,7] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,8,2,5,9,1,3,6,10,7] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,1,8,2,4,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,2,5,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,8,7,1,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,4,3,8,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,5,2,1,4,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,3,5,2,4,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,3,8,5,2,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,8,5,6,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,8,3,1,6,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,8,6,3,2,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,7,2,1,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,4,8,5,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,7,4,6,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,2,8,3,7,1,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,5,1,6,4,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,7,5,1,6,4,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,5,8,3,1,2,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,3,7,5,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,7,4,5,6,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,8,4,5,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,3,7,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,2,1,5,7,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,2,8,7,4,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,8,3,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,7,8,1,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,4,1,7,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,6,3,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,1,3,7,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,1,8,2,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,5,1,3,8,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,5,4,8,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,7,2,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,1,8,3,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,8,3,7,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,2,7,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,3,2,7,6,5,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,8,7,3,4,6,5,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,1,2,6,5,8,7,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,5,3,1,2,4,8,7,9] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,5,3,1,2,4,6,9] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,1,2,4,6,9,8] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,2,4,7,6,9,8] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,6,5,3,8,7,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,5,3,1,2,4,8,7,10,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,3,1,2,4,8,7,5,9] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,7,5,3,1,2,4,6,10,9] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,3,1,2,4,6,9,7] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,9,7,5,3,1,2,4,6,8] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,2,4,6,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,7,3,1,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,1,2,4,6,8,9] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,8,7,5,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,2,4,9,7,6,8] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,5,3,1,2,4,6,9,8,10] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,7,5,4,6,9,8] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,3,1,2,4,7,6,9,8,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,5,3,2,4,7,6,9,8] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,3,8,5,7,2,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,1,5,2,8,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,7,6,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,3,6,2,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,3,4,8,6,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,4,7,3,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,8,1,5,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,7,4,8,3,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,2,4,7,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,7,3,6,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,6,2,7,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,1,6,2,5,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,2,5,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,3,1,2,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,5,2,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,5,2,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,7,2,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,2,8,3,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,7,3,5,4,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,3,2,5,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,2,8,1,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,8,7,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,3,5,8,2,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,8,7,3,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,7,3,5,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,5,7,4,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,1,4,7,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,1,6,4,8,2,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,5,3,2,8,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,5,2,8,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,2,7,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,7,8,1,5,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,1,8,4,5,2,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,2,4,8,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,8,1,4,3,7,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,4,2,7,5,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,3,4,5,6,7,1,2,10,8] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,7,2,8,3,9,4,10,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,7,2,8,3,9,10,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,7,2,8,9,3,4,10,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,7,2,8,9,3,10,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,7,2,8,9,10,3,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,7,8,2,3,9,4,10,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,7,8,2,3,9,10,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,7,8,2,9,3,4,10,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,7,8,2,9,3,10,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,7,8,2,9,10,3,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,7,8,9,2,3,4,10,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,7,8,9,2,3,10,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,7,8,9,2,10,3,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,1,2,8,3,9,4,10,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,1,2,8,3,9,10,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,1,2,8,9,3,4,10,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,1,2,8,9,3,10,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,1,2,8,9,10,3,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,1,8,2,3,9,4,10,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,1,8,2,3,9,10,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,1,8,2,9,3,4,10,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,1,8,2,9,10,3,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,1,8,9,2,3,4,10,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,1,8,9,2,3,10,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,1,8,9,2,10,3,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,1,8,9,10,2,3,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,8,1,2,3,9,4,10,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,8,1,2,3,9,10,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,8,1,2,9,3,4,10,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,8,1,2,9,3,10,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,8,1,2,9,10,3,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,8,1,9,2,3,4,10,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,8,1,9,2,3,10,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,8,1,9,2,10,3,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,8,1,9,10,2,3,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,8,9,1,2,3,4,10,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,8,9,1,2,3,10,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,8,9,1,2,10,3,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,8,9,1,10,2,3,4,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[8,6,3,5,2,1,7,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,3,1,2,5,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,6,4,7,1,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,8,7,3,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,4,3,8,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,5,4,3,2,9,8] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,4,3,5,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,3,6,8,2,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,4,6,8,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,3,6,8,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,7,6,1,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,6,1,8,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,7,4,5,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,8,7,1,4,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,2,3,6,8,1,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,3,8,5,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,8,3,2,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,4,2,7,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,8,2,1,7,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,8,7,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,7,2,4,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,6,4,1,5,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,4,5,1,3,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,3,8,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,2,7,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,7,2,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,4,6,1,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,4,1,2,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,5,8,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,4,7,3,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,5,4,8,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,2,6,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,7,4,6,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,7,8,1,6,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,4,2,3,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,5,3,6,8,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,2,4,6,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,4,7,8,6,3,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,2,5,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,6,8,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,2,6,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,2,6,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,3,7,5,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,6,5,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,2,7,3,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,2,3,8,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,7,3,5,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,6,1,7,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,8,3,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,2,1,3,7,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,7,6,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,8,2,4,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,3,7,5,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,3,2,4,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,4,6,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,5,7,3,1,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,7,3,1,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,1,3,8,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,3,8,5,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,3,8,6,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,3,2,4,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,7,6,5,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,6,5,7,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,7,3,4,1,5,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,6,2,3,8,1,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,6,2,8,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,7,5,2,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,8,7,2,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,1,5,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,4,1,5,2,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,1,6,2,7,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,3,1,6,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,1,5,8,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,6,7,8,9,3,2] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,8,5,1,3,2,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,1,2,7,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,5,2,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,2,3,6,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,3,7,2,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,2,8,3,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,6,7,2,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,1,3,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,4,3,1,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,1,7,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,3,7,2,4,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,6,7,1,5,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,5,8,1,3,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,7,3,2,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,4,7,2,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,7,8,6,3,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,8,4,6,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,5,2,1,7,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,8,6,7,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,8,6,1,5,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,5,8,2,6,1,4,3] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,4,1,2,6,5,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,7,4,6,1,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,8,6,3,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,6,7,3,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,7,1,2,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,3,2,4,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,3,4,2,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,3,4,2,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,7,5,3,4,2,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,8,5,3,4,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,8,4,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,6,4,3,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,8,9,10,1,3,4,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,7,8,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[5,1,7,8,4,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,1,6,7,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,1,7,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,10,6,4,2,1,3,5,8,7] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,7,8,4,2,1,3,6,5,9] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,7,10,4,2,1,3,6,8,5] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,9,10,4,2,1,3,7,6,5] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[10,8,5,6,2,1,4,3,7,9] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,10,5,6,2,1,4,3,8,7] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[10,7,5,8,2,1,4,6,3,9] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,7,5,10,2,1,4,6,8,3] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,9,5,10,2,1,4,7,6,3] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[10,6,7,8,2,1,5,4,3,9] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,6,7,10,2,1,5,4,8,3] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,9,10,2,1,5,7,4,3] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,9,10,2,1,6,5,4,3] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,8,6,3,4,2,1,5,7,9] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,10,6,3,4,2,1,5,8,7] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,7,8,3,4,2,1,6,5,9] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,7,10,3,4,2,1,6,8,5] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,9,10,3,4,2,1,7,6,5] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[10,8,5,3,6,2,4,1,7,9] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,10,5,3,6,2,4,1,8,7] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[10,7,5,3,8,2,4,6,1,9] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,7,5,3,10,2,4,6,8,1] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,9,5,3,10,2,4,7,6,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[10,6,7,3,8,2,5,4,1,9] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,6,7,3,10,2,5,4,8,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,9,3,10,2,5,7,4,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,9,3,10,2,6,5,4,1] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,8,4,5,6,3,2,1,7,9] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,10,4,5,6,3,2,1,8,7] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,7,4,5,8,3,2,6,1,9] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,7,4,5,10,3,2,6,8,1] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,9,4,5,10,3,2,7,6,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[10,6,4,7,8,3,5,2,1,9] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,6,4,7,10,3,5,2,8,1] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,9,10,3,5,7,2,1] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,4,9,10,3,6,5,2,1] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,5,6,7,8,4,3,2,1,9] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,5,6,7,10,4,3,2,8,1] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,9,10,4,3,7,2,1] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,9,10,4,6,3,2,1] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,10,4,5,6,7,9,1,3,8] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,3,4,5,6,7,1,9,2,8] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,7,4,1,5,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,4,7,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,8,3,4,2,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,3,8,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,4,5,6,1,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,8,4,6,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,8,3,4,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,7,6,3,4,5,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,7,3,2,1,4,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,8,2,7,1,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,6,1,4,8,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,2,4,6,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,3,4,5,1,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,8,3,4,2,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,1,2,4,3,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,1,4,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,7,8,5,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,6,3,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,3,8,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,8,5,1,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,8,6,1,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,8,4,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,8,5,4,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,7,8,4,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,8,4,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,8,4,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,7,5,4,6,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,7,2,3,8,1,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,5,7,8,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,8,4,7,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,6,8,5,7,2,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,1,8,3,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,4,2,3,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,1,2,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,5,7,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,6,3,5,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,5,3,8,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,2,1,8,3,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,3,6,7,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,2,1,5,3,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,3,8,6,7,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,6,5,1,8,4,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,5,8,1,6,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,1,6,7,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,4,6,7,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,8,1,7,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,1,6,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,6,5,7,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,5,6,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,1,5,3,7,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,3,6,8,1,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,7,8,1,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,8,7,2,1,5,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,2,5,6,3,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,6,3,1,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,5,8,6,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,4,7,2,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,6,8,5,4,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,8,5,4,1,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,2,8,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,2,8,1,6,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,6,3,2,8,4,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,3,6,8,4,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,4,8,3,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,8,3,6,1,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,5,2,8,3,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,2,4,6,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,5,3,8,1,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,6,3,8,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,7,6,1,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,2,6,8,7,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,2,5,8,6,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,7,6,1,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,8,7,4,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,6,5,1,4,3,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,5,2,7,6,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,6,5,7,1,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,4,7,2,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,1,7,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,1,7,6,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,2,5,7,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,2,6,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,8,3,6,5,1,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[1,5,4,3,8,7,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,2,6,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[10,9,8,6,4,2,1,3,5,7] => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[10,8,7,6,4,2,1,3,5,9] => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[10,7,9,6,4,2,1,3,8,5] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,9,8,7,6,4,2,1,3,5] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[10,8,6,5,4,2,1,3,7,9] => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[10,9,8,6,5,4,2,1,3,7] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[10,8,5,7,4,2,1,6,3,9] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,5,9,7,4,2,1,6,8,3] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,9,8,5,7,4,2,1,6,3] => [2,2,2,1,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[10,8,7,6,5,4,2,1,3,9] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[10,7,9,6,5,4,2,1,8,3] => [2,2,2,1,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[10,6,9,8,5,7,2,1,4,3] => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[10,8,6,4,3,2,1,5,7,9] => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[10,9,8,6,4,3,2,1,5,7] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[10,8,7,6,4,3,2,1,5,9] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[10,7,9,6,4,3,2,1,8,5] => [2,2,2,1,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[10,8,6,3,5,2,4,1,7,9] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[10,9,8,6,3,5,2,4,1,7] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[10,8,3,7,5,2,4,6,1,9] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[10,3,9,7,5,2,4,6,8,1] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[10,9,8,3,7,5,2,4,6,1] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[10,8,7,6,3,5,2,4,1,9] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[10,7,9,6,3,5,2,4,8,1] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,9,3,8,6,5,2,7,4,1] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[10,9,8,7,6,3,5,2,4,1] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[10,8,6,5,4,3,2,1,7,9] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[10,8,5,7,4,3,2,6,1,9] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[10,5,9,7,4,3,2,6,8,1] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[10,9,8,5,7,4,3,2,6,1] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[10,8,4,7,6,3,5,2,1,9] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[10,4,9,7,6,3,5,2,8,1] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[10,4,9,6,8,3,5,7,2,1] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,9,8,4,7,6,3,5,2,1] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[10,7,9,6,5,4,3,2,8,1] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[10,6,9,8,5,4,3,7,2,1] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[10,5,9,8,7,4,6,3,2,1] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[3,5,6,2,4,7,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,7,2,4,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,6,8,2,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,2,6,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,7,6,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,4,2,6,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,7,2,6,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,7,2,6,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,7,2,8,6,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,4,7,8,2,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,4,7,2,8,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,7,4,8,6,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,4,2,8,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,8,4,2,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,5,7,8,4,6,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,7,8,6,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,8,2,6,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,8,6,2,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,5,6,7,8,9,1,4] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,5,6,7,3,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,6,7,8,9,3,1] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,6,1,4,3,5,2,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,8,4,3,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,4,8,2,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,2,5,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,1,5,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,3,5,2,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,3,5,2,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,2,5,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,2,5,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,1,8,7,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,8,1,7,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,4,6,8,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,6,7,2,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,7,3,8,2,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,8,1,2,5,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,8,2,1,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,5,4,1,3,7,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,8,6,3,1,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,2,3,1,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,5,8,2,3,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,5,1,8,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,6,5,8,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,4,2,6,7,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,8,6,2,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,3,1,8,2,6,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,5,2,8,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,2,4,3,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,2,8,6,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,7,8,6,1,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,8,4,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,7,6,8,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,2,4,3,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,2,4,5,3,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,6,2,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,8,3,4,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,4,8,2,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,6,5,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,8,6,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,7,8,4,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,5,7,2,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,8,4,6,3,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,1,2,6,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,6,5,2,7,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,1,5,2,7,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,2,3,7,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,2,4,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,8,2,6,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,3,2,5,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,3,8,6,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,8,1,4,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,5,8,1,3,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,4,3,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,8,1,5,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,4,8,6,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,3,2,8,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,3,8,5,1,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,3,2,5,6,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,8,2,6,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,8,1,4,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,4,1,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,2,3,1,5,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,4,1,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,6,2,4,8,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,8,1,4,3,6,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,8,1,3,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,8,5,3,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,3,2,5,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,1,2,3,5,4,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,5,2,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,3,1,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,8,4,1,6,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,3,8,1,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,5,6,7,2,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,4,5,6,8,1,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,1,4,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,1,8,4,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,8,5,6,4,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,6,2,5,4,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,2,3,5,8,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,6,4,3,7,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,1,7,8,4,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,3,6,7,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,1,4,7,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,8,1,7,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,3,6,8,4,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,5,1,7,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,1,7,4,8,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,3,6,4,2,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,7,4,8,5,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,7,3,2,5,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,5,2,6,4,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,1,2,5,7,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,5,3,6,1,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,4,1,5,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,7,5,1,3,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,1,2,4,7,8,3,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,9,10,1,4,5,6,7] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,5,2,1,7,8,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,8,6,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,2,6,5,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,1,2,3,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,1,4,6,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,8,5,7,1,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,3,8,5,7,1,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,3,1,4,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,6,1,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,6,5,8,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,6,8,2,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,5,4,7,6,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,8,7,3,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,1,3,8,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,2,1,8,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,5,1,4,6,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,4,1,2,8,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,1,4,2,6,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,1,4,2,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,5,8,6,2,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,7,6,3,4,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,5,2,6,1,4,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,1,8,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,5,3,4,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,3,1,7,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,6,4,1,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,7,8,9,1,5,6] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,6,7,8,9,1,4,5] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,5,6,7,8,9,1,3,4] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,1,9,6,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,1,8,9,5,6,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,8,9,10,1,6,7] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,1,7,8,9,4,5,6] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,7,8,9,10,1,5,6] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,6,7,8,9,3,4,5] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,6,7,8,9,10,1,4,5] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,5,6,7,8,9,10,1,3,4] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,5,6,3,4,1,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,1,5,8,3,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,7,2,3,8,5,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,3,7,8,1,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,8,1,6,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,5,8,3,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,6,3,1,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,6,1,5,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,8,1,5,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,7,8,3,1,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,7,8,3,1,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,5,8,4,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,5,1,4,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,7,1,8,4,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,8,1,2,5,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,8,1,2,3,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,7,4,6,5,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,4,8,7,3,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,8,7,5,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,7,6,1,5,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,5,3,1,4,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,7,6,2,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,2,7,4,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,1,6,4,3,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,2,8,1,7,5,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,4,1,6,3,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,5,3,2,4,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,5,2,4,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,7,2,5,1,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,3,2,6,8,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,3,5,4,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,7,5,4,2,6,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,6,8,7,5,2,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,2,5,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,3,8,4,9,5,10,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,5,7,6,3,1,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,5,1,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,1,4,7,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,3,1,5,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,7,5,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,5,1,8,7,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,1,5,8,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,3,6,7,5,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,3,5,7,4,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,8,4,7,2,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,5,2,4,7,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,8,1,4,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,3,6,5,8,7,9] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,2,3,6,5,8,7,10,9] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,1,6,2,3,5,8,7,9] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,7,1,8,6,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,4,1,5,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,4,1,3,6,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,3,8,1,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,8,1,7,4,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,7,3,1,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,3,1,2,5,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,6,8,3,1,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,4,7,3,1,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,2,1,5,4,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,4,8,1,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,5,2,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,2,7,6,3,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,7,3,1,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,8,1,4,5,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,8,7,3,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,4,3,8,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,8,1,2,4,6,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,1,2,6,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,3,1,2,6,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,2,7,4,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,3,5,4,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,6,1,3,5,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,7,2,5,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,1,7,4,5,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,5,1,7,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,4,5,1,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,8,1,7,5,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,3,7,1,5,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,4,7,2,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,3,7,6,4,5,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,7,1,4,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,3,6,1,2,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,7,6,2,4,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,2,3,6,1,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,7,1,3,4,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,4,2,3,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,4,7,3,1,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,6,3,1,4,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,1,4,7,3,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,2,6,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,2,7,3,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,6,7,5,4,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,1,7,5,6,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,4,7,6,5,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,7,6,4,5,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,7,2,3,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,4,7,3,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,6,4,5,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,2,7,6,4,5,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,4,7,3,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,3,1,9,8,7,6,5,4] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,1,5,3,7,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,4,7,5,6,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,8,4,7,1,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,3,5,6,4,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,6,2,3,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,2,3,8,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,3,7,6,4,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,8,6,2,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,3,7,4,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,6,4,8,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,3,4,5,9,6,10,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,6,1,8,2,7,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,8,5,6,1,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,2,5,4,8,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,1,7,4,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,6,4,2,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,6,4,3,5,2,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,6,5,3,8,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,5,6,4,2,1,8] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,4,3,7,5,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,4,5,2,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,8,6,2,3,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,5,3,7,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,7,2,8,6,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,5,1,6,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,8,1,2,5,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,8,5,1,3,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,5,2,8,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,4,6,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,2,1,6,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,6,8,3,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,5,4,6,1,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,6,1,7,2,9,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,7,4,5,2,6,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,9,6,7,2,8,3] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,6,7,1,8,2,10,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,4,5,9,6,1,7,3,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,7,6,1,9,2,8] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,6,5,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,8,4,6,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,9,7,1,8,2,4] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,8,5,6,2,7,9,3] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,6,10,7,8,2,9,3] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,5,6,10,7,1,8,3,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,6,8,7,1,10,2,9] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,5,9,6,7,3,1,4,8] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,2,7,6,3,9,8] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,6,9,5,7,2,8] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,2,6,3,4,1,5,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,8,2,1,3,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,3,5,6,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,7,4,2,3,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,9,8,1,3,4,2,5] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,1,5,2,8,6,3,7,4] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,7,10,8,1,9,2,4] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,7,4,5,2,6,8,9,3] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,5,9,6,7,2,8,10,3] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,4,6,2,1,3,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,7,6,2,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,2,3,8,7,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,2,4,1,3,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,8,5,1,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,3,4,1,6,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,3,8,1,6,5,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,5,1,4,3,8,7,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,6,2,5,8,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,5,8,3,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,5,2,8,1,4,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,7,4,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,4,5,8,6,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,8,7,2,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,7,5,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,7,2,6,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,2,8,5,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,2,4,8,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,8,4,2,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,4,7,5,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,7,4,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,2,3,6,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,9,1,2,3,4,5,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,8,9,1,2,3,4,6,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,5,3,6,7,1,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,5,7,2,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,5,7,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,3,8,5,6,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,6,3,8,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,4,3,8,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,1,4,5,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,1,7,6,9,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,1,6,5,8,7,9] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,6,7,1,9,8,10] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,5,1,8,6,9,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,1,7,5,8,6,9] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,1,7,6,9,8,10] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[6,5,8,3,2,7,1,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,4,3,1,7,6,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[3,4,5,6,7,9,1,8,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,6,8,2,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,6,7,8,10,1,9,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,6,7,9,2,8,1] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,6,7,1,9,8,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,2,1,4,5,6,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,7,3,4,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,8,5,2,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,8,2,4,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,8,2,3,1,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,4,2,1,9,8,7,6] => [3,2,2,2] => [[1,2,3],[4,5],[6,7],[8,9]] => [[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,3,4,2,1,9,8,7] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,4,5,3,2,1,9,8] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,2,7,8,6,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,8,7,2,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,8,5,7,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,8,7,5,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,6,7,2,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,2,1,5,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,1,3,8,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,5,6,1,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,5,2,6,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,1,5,7,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,2,3,7,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,9,6,1,2,3,4,10,5] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,8,9,10,7,1,3,4,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,9,7,5,6,1,2,3,10,4] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,9,10,8,6,7,1,3,4,5] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,8,9,5,1,2,3,4,10,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,9,1,6,2,3,4,10,5] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,8,9,10,6,1,3,4,5,7] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,8,9,10,1,7,3,4,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,8,3,6,4,1,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,3,4,8,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,5,1,2,6,7,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,2,7,6,8,3,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,2,7,3,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,4,5,2,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,2,8,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,6,5,8,2,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,4,5,3,6,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,8,4,5,3,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,8,2,7,4,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,4,7,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,2,7,4,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,4,3,6,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,3,6,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,1,7,2,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,3,8,1,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,5,2,1,6,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,4,7,1,8,5,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,3,7,6,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,4,2,7,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,3,7,8,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,3,2,4,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,1,7,5,6,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,7,6,2,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,5,7,3,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,8,2,5,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,3,6,4,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,2,4,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,2,8,4,1,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,5,3,6,8,7,9] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,1,7,3,8,5,6,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,3,4,1,7,8,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,6,5,8,2,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,6,8,4,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,6,3,1,8,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,1,3,7,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,2,1,6,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,5,6,4,7,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,1,5,6,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,6,5,3,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,7,2,5,6,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,4,7,3,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,5,2,3,1,6,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,3,5,1,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,6,4,1,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,5,3,6,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,5,1,4,6,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,3,4,6,7,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,2,5,4,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,4,6,5,2,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,7,4,2,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,5,1,4,7,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,1,2,6,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,5,3,2,6,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,2,4,6,7,3] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,4,1,3,8,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,4,7,1,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,8,5,4,3,7,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,5,3,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[9,10,6,7,4,5,2,3,1,8] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,5,4,7,2,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,5,7,3,4,8,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,7,8,1,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,9,3,6,1,2,4,7] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,7,1,5,8,3,6,2,4] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[9,7,5,4,1,3,8,2,6] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,9,4,5,10,1,2,3,6,7] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,4,3,9,10,1,2,5,6,7] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,6,10,1,3,7,8,2,4,5] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,10,6,7,4,5,1,2,3,8] => [4,2,2,2] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,6,4,10,3,7,1,2,5,8] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,1,8,9,6,7,4,5,2,3] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[10,8,6,1,4,9,3,7,2,5] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,8,6,5,4,1,3,9,2,7] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[10,8,7,6,5,4,3,1,2,9] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[4,8,5,6,1,2,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,8,7,1,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,5,4,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,1,5,2,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,5,8,6,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,4,8,2,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,6,5,7,8,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,3,4,5,6,8,7,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,7,6,2,8,5,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,8,6,4,7,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,8,1,7,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,4,5,1,3,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,8,1,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,3,2,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,6,5,4,3,2,1,7,8] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[10,7,6,5,4,3,2,1,8,9] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,3,5,4,8,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,6,8,4,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,7,4,2,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,4,8,5,6,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,7,4,8,5,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,8,6,4,3,7,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,2,5,7,1,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,1,2,3,4,5,8,7,6] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,1,2,3,4,8,6,7,5] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,4,7,3,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,1,2,8,4,5,6,7,3] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,7,2,4,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,1,8,3,4,5,6,7,2] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,1,2,3,4,5,6,9,8,7] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,2,3,4,7,8,6,5] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,1,2,3,4,5,9,7,8,6] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,2,3,6,8,5,7,4] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,1,2,5,8,4,6,7,3] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,1,2,3,9,5,6,7,8,4] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,1,4,5,7,3,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,1,4,8,3,5,6,7,2] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,1,2,9,4,5,6,7,8,3] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,8,2,4,5,6,7,1] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,4,2,8,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,4,6,8,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,4,1,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,3,5,7,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,5,8,1,7,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,8,6,7,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,6,8,5,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,3,7,8,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,1,2,5,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,2,4,3,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,7,8,2,6,5,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,1,2,6,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,8,3,6,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,8,3,6,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,3,2,5,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,8,5,7,2,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,7,3,2,4,5,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,7,3,4,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,7,3,4,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,2,8,7,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,6,7,8,3,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,3,7,2,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,7,4,2,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,7,3,4,2,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,7,3,4,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,1,7,4,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,3,5,7,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,2,3,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,3,1,2,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,3,2,5,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,5,1,7,3,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,3,8,1,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,2,6,7,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,3,6,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,5,1,8,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,2,6,8,7,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,6,8,4,1,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,3,7,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,5,1,2,8,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,5,4,8,6,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,2,3,8,7,4,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,8,4,6,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,8,1,2,7,6,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,6,8,5,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,2,8,5,3,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,3,5,4,7,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,7,6,4,1,3,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,7,5,1,6,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,7,1,4,2,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,1,6,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,7,2,3,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,2,5,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,6,7,4,8,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,8,3,6,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,8,5,6,1,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,3,7,8,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,8,4,2,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,3,2,8,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,3,7,8,1,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,4,7,8,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,3,2,8,4,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,8,3,4,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,8,1,6,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,8,6,7,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,4,8,7,3,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,8,6,5,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,6,8,9,1,7,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,6,7,8,9,1,5,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,6,7,8,9,1,4,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,6,7,8,9,1,3,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,6,7,9,10,1,8,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,7,8,9,10,1,6,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,2,6,7,8,1,4,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,7,8,9,10,1,5,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,5,6,7,8,9,10,1,3,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,8,2,7,5,3,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,4,6,5,8,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,2,3,1,7,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,1,7,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,3,8,2,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,5,6,2,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,6,7,5,2,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,5,4,7,3,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,8,7,3,6,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,8,6,1,4,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,8,2,1,5,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,6,3,8,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,1,4,6,2,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,3,8,7,1,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,5,6,2,8,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,5,1,6,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,6,2,3,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,6,7,3,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,7,8,2,5,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,3,4,1,2,7,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,8,4,6,1,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,8,6,5,1,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,4,7,3,5,2,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,4,5,8,3,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,6,4,2,8,1,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,6,2,1,7,4,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,2,4,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,7,6,2,5,4,3] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,5,4,3,7,6,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,1,3,6,7,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,8,6,1,7,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,7,5,2,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,6,7,3,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,7,8,5,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,6,4,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,5,7,2,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,5,3,2,7,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,8,1,3,7,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,5,3,1,7,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,3,1,8,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,8,7,2,4,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,8,6,4,2,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,7,5,1,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,2,6,7,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,3,8,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,7,4,1,8,2,5,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,6,8,3,2,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,2,8,1,5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,3,4,8,7,1,2,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,4,8,1,6,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,6,7,8,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,7,8,6,1,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,7,8,6,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,5,8,1,6,3,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,6,4,2,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,6,2,4,5,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,8,5,7,3,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,7,2,5,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,5,1,8,6,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,6,5,3,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,5,6,4,8,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,4,5,8,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,8,9,1,2,3,5] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,7,8,9,1,2,3,4,6] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,4,5,7,3,8,2,9,1,10] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,5,3,8,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,2,8,4,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,8,5,1,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,2,1,4,8,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,4,1,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,8,2,5,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,7,1,4,5,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,2,6,1,5,3,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,3,8,2,6,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,3,4,7,1,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,4,1,5,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,8,1,6,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,3,4,5,1,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,4,1,6,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,7,2,8,3,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,1,7,6,2,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,5,1,2,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,1,2,4,3,6,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,1,2,3,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,8,1,4,2,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,5,7,1,4,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,5,1,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,4,6,3,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,4,2,3,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,7,8,4,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,1,2,5,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,7,5,2,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,2,1,6,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,2,1,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,5,3,6,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,3,6,8,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,6,1,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,8,6,7,3,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,8,2,1,3,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,3,2,6,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,4,2,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,8,3,1,4,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,3,2,7,5,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,8,7,5,6,4,3,2,10,1] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,5,4,6,3,2,9,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,4,6,5,3,2,9,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,3,4,5,6,1,9,8,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,1,9,8,7,6] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,10,2,4,6,8,1,3,5,7] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,2,4,6,10,1,3,5,9] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,7,10,2,4,6,8,1,3,5] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,7,2,4,6,1,3,5] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,2,4,8,10,1,3,7,9] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,6,9,10,2,4,8,1,3,7] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,5,8,2,4,6,10,1,3,9] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,9,5,10,2,4,6,8,1,3] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,8,9,10,7,2,4,6,1,3] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,7,8,5,2,4,10,1,3,9] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,6,7,5,10,2,4,8,1,3] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,9,6,10,5,7,2,4,1,3] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,9,10,6,5,2,4,1,3] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,2,6,8,10,1,5,7,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,9,10,2,6,8,1,5,7] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,7,8,2,6,10,1,5,9] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,3,4,7,10,2,6,8,1,5] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,3,4,7,2,6,1,5] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[5,3,6,2,4,8,10,1,7,9] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,3,6,9,10,2,4,8,1,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,7,3,8,2,4,6,10,1,9] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,7,9,3,10,2,4,6,8,1] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,5,9,10,3,7,2,4,6,1] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,7,8,5,2,4,10,1,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,6,7,5,10,2,4,8,1] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,3,9,10,5,7,2,4,1] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,8,9,10,3,6,5,2,4,1] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,3,2,8,10,1,7,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,6,3,9,10,2,8,1,7] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,4,5,3,8,2,6,10,1,9] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,5,9,3,10,2,6,8,1] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,5,9,10,3,7,2,6,1] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,4,8,3,5,2,10,1,9] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,9,4,3,5,10,2,8,1] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,9,4,10,3,5,7,2,1] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,9,10,6,3,5,2,1] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,8,4,3,2,10,1,9] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,5,6,7,4,3,10,2,8,1] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,9,5,6,4,10,3,7,2,1] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,9,5,10,4,6,3,2,1] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,1,8,2,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,1,6,7,3,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,2,8,1,6,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,6,4,5,3,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,2,8,4,3,6,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,4,8,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,3,5,2,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,3,2,8,6,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,6,8,2,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,5,6,8,10,9,3,7] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,5,7,8,10,6,9,4] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,4,5,7,8,10,3,9,6] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,4,6,7,5,10,8,3,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,4,2,7,8,10,5,9,6] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,4,6,7,2,10,8,5,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,5,6,9,8,10,7,4] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,5,6,9,8,10,3,7] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,5,7,9,6,10,8,4] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,4,5,7,9,3,10,8,6] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,4,6,5,9,7,10,3,8] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,4,2,7,9,5,10,8,6] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,4,6,2,9,7,10,5,8] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,5,8,7,9,6,10,4] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,5,8,7,9,3,10,6] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,4,6,8,5,9,3,10,7] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,4,7,6,8,5,9,3,10] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,2,8,7,9,5,10,6] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,4,6,8,2,9,5,10,7] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,4,7,6,8,2,9,5,10] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,6,5,9,7,10,8,4] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,4,6,3,9,7,10,8,5] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,5,4,6,9,7,10,3,8] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,2,6,4,9,7,10,8,5] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,5,2,6,9,7,10,4,8] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,6,8,5,9,7,10,4] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,4,6,8,3,9,7,10,5] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,5,4,8,6,9,3,10,7] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,5,7,4,8,6,9,3,10] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,2,6,8,4,9,7,10,5] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,5,2,8,6,9,4,10,7] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,5,7,2,8,6,9,4,10] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,4,3,5,8,2,9,6,10,7] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,4,3,7,5,8,2,9,6,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,3,6,4,9,7,10,8,5] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,5,3,6,9,7,10,4,8] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,3,6,8,4,9,7,10,5] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,5,3,8,6,9,4,10,7] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,5,7,3,8,6,9,4,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,1,5,8,3,9,6,10,7] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,4,1,7,5,8,3,9,6,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,6,3,7,2,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,9,7,6,5,4,3,1,2] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,6,7,5,4,3,2,1,9] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,7,9,6,5,4,3,1,2] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[9,7,8,6,5,4,3,1,2] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[4,3,1,6,7,2,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,1,4,8,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,1,3,7,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,7,4,1,6,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,8,4,1,6,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,4,2,3,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,8,1,5,7,4,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,1,6,7,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,8,2,1,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,8,1,3,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,3,2,1,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,3,2,6,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,3,2,1,6,5,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,3,5,1,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,3,5,6,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,2,1,6,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,8,1,4,6,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,7,8,1,4,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,4,3,6,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,3,7,1,5,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,1,5,4,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,4,5,2,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,4,5,6,2,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,5,1,3,6,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,2,7,8,4,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,6,4,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,6,7,5,2,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,6,8,7,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,5,6,7,8,9,4] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,6,1,4,7,8,9,5] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,2,1,6,7,8,9,5] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,8,1,4,5,9,6] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,7,2,5,1,3,8,9,6] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,2,7,1,5,8,9,6] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,3,2,1,7,8,9,6] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,8,9,1,5,6,7] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,6,3,4,1,2,9,7] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => [[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,2,6,1,4,9,7] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => [[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,3,2,8,1,6,9,7] => [3,3,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9]] => [[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,3,2,1,8,9,7] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,9,4,7,2,5,1,3,8] => [3,2,2,2] => [[1,2,3],[4,5],[6,7],[8,9]] => [[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,3,9,2,7,1,5,8] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,4,3,2,9,1,7,8] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,1,2,3,7,8,9,10,4] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,5,1,3,6,7,8,9,10,4] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,2,1,5,6,7,8,9,10,4] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,7,8,1,2,3,4,9,10,5] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,6,7,1,3,4,8,9,10,5] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[6,3,4,1,2,7,8,9,10,5] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,6,1,4,7,8,9,10,5] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,3,2,1,6,7,8,9,10,5] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,7,8,9,1,3,4,5,10,6] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,3,4,8,1,2,5,9,10,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,7,8,1,4,5,9,10,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,7,2,5,1,3,8,9,10,6] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,3,2,7,1,5,8,9,10,6] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,3,2,1,7,8,9,10,6] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,4,9,10,1,2,5,6,7] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,9,4,5,6,1,2,3,10,7] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,3,2,8,9,1,5,6,10,7] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,5,6,3,4,1,2,9,10,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,3,8,2,6,1,4,9,10,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,3,2,8,1,6,9,10,7] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,4,3,2,1,8,9,10,7] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,9,10,2,6,7,1,3,4,8] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,5,6,3,4,10,1,2,7,8] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,3,9,2,6,10,1,4,7,8] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,3,2,9,10,1,6,7,8] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,9,4,7,2,5,1,3,10,8] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[6,4,3,9,2,7,1,5,10,8] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,4,3,2,9,1,7,10,8] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,5,4,3,2,1,9,10,8] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[10,7,8,5,6,3,4,1,2,9] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,10,3,8,2,6,1,4,9] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,4,3,10,2,8,1,6,9] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,5,4,3,2,10,1,8,9] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,3,7,6,1,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,3,1,5,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,8,7,4,3,6,5,10,9] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,3,2,5,8,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,3,2,6,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,5,7,3,8,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,7,8,6,4,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,7,8,6,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,1,7,6,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,3,6,5,7,9,10,8] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,4,3,5,7,8,6,10,9] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,4,3,5,7,6,9,10,8] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,4,3,5,6,8,9,10,7] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,3,5,6,4,8,7,10,9] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,3,5,6,4,7,9,10,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,3,5,4,7,8,6,10,9] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,3,5,4,7,6,9,10,8] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,3,5,4,6,8,9,10,7] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,3,4,6,7,8,5,10,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,3,4,6,7,5,9,10,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,3,4,6,5,8,9,10,7] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,3,4,5,7,8,9,10,6] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,4,2,6,5,7,9,10,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,4,2,5,7,8,6,10,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,4,2,5,7,6,9,10,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,4,2,5,6,8,9,10,7] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,2,5,6,4,8,7,10,9] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,2,5,6,4,7,9,10,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,2,5,4,7,8,6,10,9] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,2,5,4,7,6,9,10,8] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,2,5,4,6,8,9,10,7] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,2,4,6,7,8,5,10,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,2,4,6,7,5,9,10,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,2,4,6,5,8,9,10,7] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,2,4,5,7,8,9,10,6] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,4,5,6,3,8,7,10,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,4,5,6,3,7,9,10,8] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,4,5,3,7,8,6,10,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,4,5,3,7,6,9,10,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,4,5,3,6,8,9,10,7] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,4,3,6,7,8,5,10,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,4,3,6,7,5,9,10,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,4,3,6,5,8,9,10,7] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,4,3,5,7,8,9,10,6] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,3,5,6,7,8,4,10,9] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,3,5,6,7,4,9,10,8] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,3,5,6,4,8,9,10,7] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,3,5,4,7,8,9,10,6] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,9,6,7,8,5,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,9,5,6,7,8,4,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,9,4,5,6,7,8,3,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,3,4,5,6,7,8,2,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,6,10,8,9,7,1] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,1,9,7,8,6,5] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,10,7,8,9,6,1] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,1,9,6,7,8,5,4] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,10,6,7,8,9,5,1] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,9,5,6,7,8,4,3] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,10,5,6,7,8,9,4,1] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,9,4,5,6,7,8,3,2] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,10,4,5,6,7,8,9,3,1] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,3,4,5,6,7,8,9,2,1] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,4,7,3,9,1,8,2] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,4,9,1,8,2,7,3] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => [[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,9,1,8,2,7,3,6,4] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,1,8,2,7,3,6,4,5] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,3,8,1,7,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,9,1,8,2,7,3,6] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,6,3,9,1,8,2,7] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => [[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,6,3,7,2,9,1,8] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,7,4,8,3,10,1,9,2] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,4,8,2,9,1,7,3] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,7,4,10,1,9,2,8,3] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[5,7,3,9,1,8,2,6,4] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => [[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,10,1,9,2,8,3,7,4] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,9,1,8,2,7,3,5] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,9,1,8,2,7,3,6] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,10,1,9,2,8,3,7,4,6] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,5,3,9,1,8,2,7] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => [[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,4,10,1,9,2,8,3,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,7,3,6,2,9,1,8] => [3,3,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9]] => [[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,7,3,10,1,9,2,8] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,4,7,3,8,2,10,1,9] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,5,6,8,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,10,1,3,4,5,6,9,7,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,9,1,3,4,5,6,7,10,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[10,3,1,2,4,5,6,9,7,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,10,2,4,5,6,9,7,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,3,1,2,4,5,6,7,10,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,9,2,4,5,6,7,10,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[5,7,8,1,6,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,2,7,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,1,5,7,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[9,8,3,4,5,6,7,1,2] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,8,2,3,4,5,6,1,7] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,7,3,4,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,4,5,6,7,8,2,1,3] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,3,4,5,6,7,2,1,8] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,9,3,4,5,6,7,8,1,2] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,9,2,3,4,5,6,7,1,8] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,2,9,8,3,4,5,6,1] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,8,2,3,4,5,1,6,7] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,4,8,5,6,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,5,6,7,8,2,1,3,4] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,6,8,4,5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,9,4,5,6,7,2,1] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,4,5,6,7,8,9,2,1,3] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,4,5,6,2,1,7,8] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,3,4,5,6,7,8,2,1,9] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,2,8,3,1,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,5,6,2,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,4,8,3,5,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,4,8,6,2,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,4,8,3,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,1,8,6,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,5,7,6,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,6,7,5,3,2,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,8,3,1,6,5,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,4,8,7,3,5,1,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[6,1,4,2,3,5,7,8] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,7,2,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,6,7,4,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,2,7,3,8,4,9,5] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,8,5,2,9,6,3,10,7,4] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,2,4,1,8,5,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,6,1,8,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,3,2,1,6,8,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,1,3,4,2,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,4,7,8,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,7,1,3,6,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,2,5,3,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,3,1,2,6,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,3,8,2,6,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,3,2,7,6,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,1,4,2,6,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,1,7,4,3,8,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,3,6,7,1,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,2,1,6,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,5,2,1,3,7,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,6,1,4,3,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,3,7,2,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,4,1,7,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[10,9,3,8,7,6,5,4,2,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[8,7,6,4,5,3,2,1,10,9] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[10,9,8,6,5,4,7,3,2,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[6,7,1,9,2,3,4,5,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,1,8,9,2,3,4,5,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,1,9,10,2,3,4,5,6,7] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[6,8,7,5,4,2,1,3] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,6,1,8,4,3,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,2,6,7,5,4,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,5,1,6,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,6,1,2,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,3,2,7,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,4,7,2,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,1,7,5,4,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,2,1,6,7,8,9] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,1,5,6,2,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,7,2,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,2,7,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,7,3,4,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,5,6,8,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,2,6,7,8,5,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,8,9,1,2,6,7] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,7,8,9,1,2,5,6] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,6,7,8,9,1,2,4,5] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,6,1,7,2,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,1,6,2,7,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,6,7,10,1,2,8,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,4,1,5,9,2,6,7,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,6,9,10,1,2,7,8] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,4,5,8,9,10,1,2,6,7] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,7,8,9,2,4,5,6] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,7,8,9,10,1,2,5,6] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,6,7,8,9,1,3,4,5] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,6,7,8,9,10,1,2,4,5] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[6,3,7,1,8,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,3,6,5,10,7,9,8] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,4,3,8,5,7,6,10,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,4,3,10,9,7,5,6,8] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,3,10,5,6,8,9,7] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,6,3,5,4,8,7,10,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,6,3,5,4,10,7,9,8] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,8,7,5,3,4,6,10,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,10,7,5,9,4,3,6,8] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,10,8,5,3,6,4,9,7] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,8,3,4,6,7,5,10,9] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,10,9,4,6,7,3,5,8] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,10,3,9,6,4,8,5,7] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,10,3,4,5,7,8,9,6] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,3,2,6,5,8,7,10,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,3,2,6,5,10,7,9,8] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,3,2,8,5,7,6,10,9] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,3,2,10,9,7,5,6,8] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,3,2,10,5,6,8,9,7] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,5,3,1,2,4,10,7,9,8] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,5,3,7,2,1,4,6,10,9] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,5,3,7,2,9,4,1,6,8] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,5,3,8,2,1,6,4,9,7] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,3,1,4,2,7,5,10,9] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,6,3,9,4,2,7,1,5,8] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,6,3,1,9,2,4,8,5,7] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,7,3,1,4,5,2,8,9,6] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,4,5,3,8,7,10,9] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,1,2,4,5,3,10,7,9,8] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,7,2,4,5,1,3,6,10,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,7,2,4,5,9,3,1,6,8] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,8,2,4,5,1,6,3,9,7] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,1,7,4,2,6,3,5,10,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,9,7,4,2,6,3,1,5,8] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[10,1,8,4,9,6,2,3,5,7] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,1,8,4,2,5,7,3,9,6] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,1,2,3,5,6,7,4,10,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,9,2,3,5,6,7,1,4,8] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,1,9,3,5,6,2,8,4,7] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,1,2,9,5,3,7,8,4,6] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,4,7,8,3,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,7,8,3,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,1,7,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,8,2,5,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,5,4,2,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,5,6,8,3,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,5,6,8,3,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,5,6,8,3,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,8,3,1,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,3,6,8,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,4,5,8,1,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,5,6,8,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,5,8,2,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,7,3,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,6,4,2,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,3,5,1,2,8,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,2,3,5,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,5,2,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[10,9,7,6,5,4,3,8,2,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[1,6,8,4,7,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,1,6,8,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,5,8,2,3,7,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,2,4,5,3,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,8,2,3,4,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,3,8,7,1,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,6,4,8,3,1,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,3,7,5,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,2,3,8,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,2,6,1,7,8,9] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,3,6,2,7,1,8,9] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,4,1,5,6,7,8,9,10] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,2,5,1,6,7,8,9,10] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,3,5,2,6,1,7,8,9,10] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,3,6,2,7,1,8,9,10] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,6,3,7,2,8,1,9,10] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,2,1,3,7,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,3,6,8,5,7,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,8,4,1,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,6,8,1,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,8,4,7,1,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,1,2,8,6,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,3,2,4,5,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,2,1,4,5,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,4,3,6,5,10,7,8,9] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,4,3,8,5,6,7,10,9] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,4,3,10,9,6,5,8,7] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,3,10,5,6,7,8,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,6,3,4,5,8,7,10,9] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,6,3,4,5,10,7,8,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,10,7,4,9,6,3,8,5] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,10,9,4,3,6,7,8,5] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,8,3,4,5,6,7,10,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,10,9,4,5,6,3,8,7] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,10,3,8,5,4,7,6,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,3,6,5,10,7,8,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,1,2,3,8,5,6,7,10,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,1,2,3,10,9,6,5,8,7] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,5,2,1,4,3,8,7,10,9] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,5,2,1,4,3,10,7,8,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,5,2,7,4,1,6,3,10,9] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,5,2,7,4,9,6,1,8,3] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,5,2,9,4,1,6,7,8,3] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,7,2,1,4,5,6,3,10,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,7,2,9,4,5,6,1,8,3] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,9,2,1,8,5,4,7,6,3] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,9,2,1,4,5,6,7,8,3] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,3,4,5,8,7,10,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[8,7,2,3,4,1,6,5,10,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,7,2,3,4,9,6,1,8,5] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,9,2,3,4,1,6,7,8,5] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,1,6,3,2,5,4,7,10,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,9,6,3,2,5,4,1,8,7] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,1,6,3,8,5,2,7,4,9] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,1,8,3,2,5,6,7,4,9] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,9,2,3,4,5,6,1,8,7] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,1,8,3,4,5,2,7,6,9] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,1,2,7,4,3,6,5,8,9] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,4,8,7,3,2,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,1,2,6,5,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,8,1,2,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,5,2,8,7,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,2,6,5,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,2,6,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,6,1,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,8,3,5,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,2,8,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,7,8,3,4,6,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,6,8,3,4,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,1,7,8,6,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,6,5,7,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,3,4,8,2,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,3,6,1,4,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,1,8,3,4,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,5,6,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,6,1,3,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,4,6,1,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,6,3,8,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,5,8,6,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,3,8,1,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,5,4,3,8,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,3,1,2,6,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,1,3,6,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,7,3,5,2,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,8,3,6,5,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,8,2,6,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,8,5,2,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,1,8,6,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,2,8,4,1,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,4,8,6,1,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,4,8,5,1,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,2,8,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,3,1,8,6,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,3,5,6,1,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,3,8,4,6,1,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,4,8,5,2,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,3,8,5,4,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,8,4,5,3,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,4,3,1,7,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,3,4,8,2,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,3,4,6,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,4,2,5,7,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,6,2,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,4,6,7,2,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,2,3,7,8,6,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,6,4,8,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,9,7,5,3,10,8,6,4] => [4,2,2,2] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,4,5,8,1,3,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,6,2,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,5,8,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,6,3,2,8,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,4,1,5,7,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,7,4,1,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,6,4,1,7,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,8,3,1,6,4,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,2,6,3,1,7,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,1,6,3,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,4,6,2,5,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,1,6,2,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,8,1,4,3,7] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,3,8,2,1,4,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,1,5,6,7,8,10,3,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,4,8,5,3,7,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,3,8,4,1,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,3,1,5,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,3,4,7,2,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,1,4,6,2,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,1,3,6,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,6,5,2,8,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,3,8,5,7,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,7,2,8,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,1,7,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,6,3,1,8,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,7,2,5,3,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,3,2,8,7,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,1,7,5,4,6,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,3,1,5,7,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,3,1,2,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,5,7,2,8,4,9,6] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,5,6,2,7,4,9,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,4,5,2,7,6,9,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,5,7,1,2,4,6,9,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,5,7,2,9,4,6,8,10] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,5,7,8,1,9,2,4,6] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,5,7,2,9,4,10,6,8] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,5,6,7,1,8,2,9,4] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,5,7,2,8,4,9,6,10] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,5,6,2,7,4,9,8,10] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,4,5,2,7,6,9,8,10] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[5,4,3,6,1,7,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,7,8,5,6,1,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,2,1,7,5,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,9,7,6,5,4,3,2,8] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,3,7,8,4,6,2,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,7,3,6,1,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,8,7,2,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,7,6,1,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,7,1,3,6,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,9,2,3,4,5,6,1,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,8,9,2,3,4,5,1,6] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,7,8,9,2,3,4,1,5] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,7,8,9,2,3,1,4] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,10,2,3,4,5,6,7,1,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,9,10,2,3,4,5,6,1,7] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,9,2,3,4,1,5,6] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,8,9,10,2,3,4,5,1,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,7,8,9,2,3,1,4,5] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,7,8,9,10,2,3,1,4] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,5,6,7,8,1,9,2,3] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,5,6,7,8,9,10,2,1,3] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,8,3,4,5,2,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,1,4,5,6,2,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,9,3,4,5,6,2,1,8] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,9,2,1,5,6,7,8,4] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,1,4,5,2,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,1,4,5,6,7,2,9] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,10,3,4,5,6,7,2,1,9] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,9,3,4,5,2,7,1,8] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,2,4,5,1,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,9,2,4,1,6,7,8,5] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,7,2,1,5,6,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,8,1,5,4,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,9,1,5,6,7,4,2] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,10,2,1,5,6,7,8,9,4] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,7,1,4,5,6,2,8,9] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,9,1,4,5,6,7,8,2,10] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,7,4,6,3,5,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,6,5,7,2,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,5,6,4,3,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,5,4,3,7,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,7,8,4,3,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,3,2,4,1,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,8,5,3,2,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,8,7,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,7,6,8,5,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,8,6,5,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,1,2,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,6,7,8,1,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,7,6,5,4,3,1,9] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,1,4,9,8,7,6,5,3] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,2,3,8,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,3,8,6,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,7,5,8,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,2,7,6,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,6,7,4,5,3,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,6,7,5,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,2,4,6,5,3,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,7,2,3,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,6,5,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,7,1,5,8,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,6,5,2,7,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,1,8,3,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,7,3,6,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,4,1,7,8,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,7,2,1,5,4,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,1,6,3,7,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,1,3,7,6,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,3,6,5,4,2,1,7] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[6,1,3,5,7,2,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,5,8,4,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,6,5,2,8,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,8,6,5,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,8,4,7,3,2,5,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,7,3,2,1,6,4] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,8,7,2,6,4,3,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,8,7,3,5,1,4,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,2,5,6,8,3,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,7,8,3,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,7,2,3,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,8,6,7,3,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,3,1,6,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,6,4,2,1,8,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,5,2,7,3,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,3,1,8,5,2,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,1,5,8,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,8,6,5,3,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,5,2,6,7,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,1,8,5,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,9,2,3,4,5,6] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,7,8,1,9,2,3,4,5] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,6,7,8,1,9,2,3,4] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,1,2,3,4,5,7,6,8] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,4,5,9,6,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,1,3,8,2,7,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,6,3,2,4,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,4,3,1,5,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,1,4,3,10,5,7,6,9,8] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,4,3,9,6,10,5,8,7] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,8,3,5,4,7,6,10,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,10,3,5,4,7,6,9,8] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,9,6,10,3,5,4,8,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,7,4,8,3,6,5,10,9] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,7,4,10,3,6,5,9,8] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,10,3,6,5,9,4,8,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,9,4,8,5,10,3,7,6] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,3,2,10,5,7,6,9,8] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,3,2,9,6,10,5,8,7] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,1,3,2,5,4,8,7,10,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,1,3,2,5,4,10,7,9,8] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,1,3,2,5,4,7,6,10,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,6,10,1,3,2,5,4,8,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,4,8,1,3,2,6,5,10,9] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,4,10,1,3,2,6,5,9,8] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,1,3,2,6,5,9,4,8,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,4,8,5,10,1,3,2,7,6] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,6,1,4,3,8,7,10,9] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,2,6,1,4,3,10,7,9,8] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,2,8,1,4,3,7,6,10,9] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,2,10,1,4,3,7,6,9,8] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,2,9,6,10,1,4,3,8,7] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[8,1,4,3,7,2,6,5,10,9] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,1,4,3,7,2,6,5,9,8] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,2,6,5,10,1,4,3,8,7] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[10,1,4,3,8,5,9,2,7,6] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,2,6,3,8,1,5,4,10,9] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,2,6,3,10,1,5,4,9,8] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,1,5,4,9,2,6,3,8,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,3,10,1,5,4,9,2,7,6] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[8,3,9,2,7,4,10,1,6,5] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[4,7,6,1,3,2,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,5,4,3,1,9,8] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,1,9,5,8,7,6,4] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,4,2,1,9,8,7] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,2,1,9,7,8,6,5] => [3,2,2,2] => [[1,2,3],[4,5],[6,7],[8,9]] => [[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,3,1,8,5,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,5,8,6,1,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,6,2,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,4,6,3,2,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,5,8,6,2,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,3,8,4,1,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,5,6,8,9,7,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,1,6,7,5,2,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,6,2,3,8,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,6,5,2,8,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,5,6,2,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,7,3,5,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,4,8,3,2,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,6,3,8,2,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,1,7,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,8,3,5,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,6,7,4,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,1,3,5,2,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,8,2,5,4,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,5,8,1,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,7,8,6,2,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,3,2,1,7,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,4,7,6,8,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,7,1,8,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,4,6,1,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,7,8,6,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,7,1,5,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,7,5,8,2,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,1,2,3,4,8,6,5,7] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,1,2,3,8,5,6,4,7] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,9,4,5,6,3,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,8,3,4,5,6,2,7] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,3,4,9,5,8,6] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,1,2,3,4,5,9,7,6,8] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,3,8,4,5,9,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,1,2,3,4,9,6,7,5,8] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,8,3,4,6,9,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,1,2,3,10,5,6,7,4,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,9,2,3,5,6,8,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,1,2,9,4,5,6,7,3,8] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,8,1,2,4,5,6,9,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,1,9,3,4,5,6,7,2,8] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,2,1,3,4,5,6,9,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,1,2,3,4,5,10,6,9,7] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,1,2,3,8,5,4,7,6] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,3,4,9,5,6,10,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[6,1,2,3,9,4,7,8,5] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,3,9,4,5,7,10,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[5,1,2,8,3,6,4,9,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,2,10,3,4,6,7,9,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,8,2,1,4,5,6,7,3] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,7,3,2,4,5,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,2,5,3,6,9,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,9,2,3,5,6,7,10,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,9,1,4,2,5,6,8,7] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,9,1,2,4,5,6,7,10,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[8,2,3,1,4,5,6,9,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,2,1,3,4,5,6,7,9,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,4,7,1,5,2,8,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,2,8,7,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,5,7,8,1,9,6] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,4,5,2,6,7,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,5,7,8,6,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,5,7,9,1,6,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,5,7,8,9,6,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,3,4,5,1,6,7,9,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,5,6,1,7,8,9,2,3] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,4,5,3,6,7,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,5,6,1,7,8,9,10,3] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,2,5,4,6,7,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,5,6,1,7,8,9,10,4] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,2,5,8,6,1,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,7,2,8,6,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,2,5,3,1,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,3,6,8,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,6,2,8,3,5,7,9] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,6,2,8,3,9,5,7] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,6,2,7,3,8,5,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,8,7,3,5,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,7,1,6,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,6,7,4,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,6,4,3,2,7] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,3,5,2,7,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,6,2,1,5,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,1,6,4,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,8,5,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,1,4,8,5,3,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,8,5,1,4,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,3,2,8,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,5,2,4,7,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,7,8,6,1,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,3,7,8,5,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,7,8,5,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,9,1,4,5,6,2,3] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,9,1,4,5,2,8,3] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,8,10,1,4,5,6,7,2,3] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,4,7,5,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,1,8,6,2,7,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,8,7,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,6,8,7,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,9,2,4,5,6,7,8,1] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,8,6,1,5,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,2,8,1,5,6,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,7,3,2,1,4,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,7,6,8,2,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,1,3,7,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,2,5,6,4,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,7,1,5,8,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,1,5,8,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,2,4,6,7,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,2,3,5,6,8,7,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,4,7,3,5,6,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,1,2,3,4,7,6,8,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,4,7,5,2,3,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,7,6,8,3,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,6,7,2,8,5,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,3,6,8,4,7,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,3,8,4,7,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,8,5,3,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,6,8,4,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,1,4,6,7,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,4,7,5,6,8,2,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,8,5,2,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,1,7,5,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,7,5,2,6,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,3,4,5,8,2] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,4,5,6,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,3,6,4,2,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,7,5,8,2,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,7,2,3,6,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,2,5,6,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,6,5,8,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,8,2,6,3,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,3,2,7,5,1,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[4,1,5,7,2,6,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,1,3,6,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,10,9,2,3,4,5,6,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,7,9,1,2,3,4,5,10,8] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,8,1,9,10,3,4,5,6,7] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[8,7,1,10,2,3,4,5,6,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,5,6,7,2,4,1,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,5,2,3,1,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,6,4,8,3,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,5,6,4,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,7,8,6,2,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,2,8,5,4,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,1,7,8,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,8,6,1,5,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[4,3,7,1,5,8,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,4,5,3,1,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,2,7,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,8,6,3,10,9,7,4] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,5,2,8,6,3,10,9,7] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,7,5,2,8,6,3,10,9,4] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,7,5,2,8,3,10,9,6] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,4,1,7,5,2,8,3,10,9] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,1,7,2,8,5,10,9,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,6,4,1,7,2,8,5,10,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,5,2,9,8,6,3,10,7,4] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,5,2,9,8,6,3,10,7] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,7,5,2,9,6,3,10,8,4] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,7,5,2,9,3,10,8,6] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,9,6,5,2,7,3,10,8] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,7,2,9,5,10,8,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,6,1,9,4,2,7,5,10,8] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,8,7,5,2,9,6,3,10,4] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,8,7,5,2,9,3,10,6] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,4,1,8,5,2,9,3,10,7] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,6,4,1,8,5,2,9,3,10] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,1,8,7,2,9,5,10,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,6,4,1,8,2,9,5,10,7] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,7,6,4,1,8,2,9,5,10] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,9,6,5,2,7,3,10,8,4] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,9,4,2,7,3,10,8,5] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,4,1,9,6,2,7,3,10,8] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,3,1,6,2,7,4,10,8,5] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,5,3,1,6,2,7,4,10,8] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,8,5,2,9,7,3,10,4] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,4,1,8,2,9,7,3,10,5] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,5,4,1,6,2,9,3,10,7] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,7,4,1,8,6,2,9,3,10] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,6,1,8,2,9,7,4,10,5] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,8,3,1,6,2,9,4,10,7] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,3,7,1,8,6,2,9,4,10] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,3,8,1,9,5,2,6,10,7] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,4,3,5,1,8,2,9,6,10] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,6,2,1,3,7,4,10,8,5] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,9,2,1,6,3,7,4,10,8] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,8,2,1,3,9,7,4,10,5] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,2,5,1,6,3,9,4,10,7] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,5,7,1,8,6,3,9,4,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,8,1,9,5,3,6,10,7] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,8,7,2,6,1,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,2,1,7,3,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,4,1,7,3,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,2,8,4,5,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,2,1,3,6,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,4,3,5,2,1,9,8] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,5,4,2,1,9,8] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,1,7,3,4,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,6,3,4,1,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,9,10,1,5,6,3,4,2] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,1,2,6,4,3,5,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,6,5,3,4,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,8,6,2,3,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,4,8,6,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,5,6,4,8,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,3,6,5,7,1,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,8,4,7,6,5,3,2,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[9,8,3,7,6,5,4,2,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[9,3,8,7,6,5,4,2,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[9,2,8,7,6,5,4,3,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[10,9,8,5,7,6,4,3,2,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[9,8,4,6,5,7,3,2,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[10,9,8,4,7,6,5,3,2,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[9,8,3,6,5,4,7,2,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[10,9,4,8,7,6,5,3,2,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[9,3,7,6,5,4,8,2,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[9,2,7,6,5,4,3,8,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[10,3,9,8,7,6,5,4,2,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[10,2,9,8,7,6,5,4,3,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,4,3,1,6,5,2,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,2,6,8,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,2,4,8,7,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,2,3,7,8,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,2,5,8,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,5,6,2,4,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,3,8,6,2,4,1,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,6,3,8,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,8,6,2,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,8,3,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,3,7,4,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,2,3,4,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,3,6,4,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,7,5,3,4,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,8,1,3,7,5,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,1,8,2,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,4,1,3,7,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,6,2,3,7,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,2,3,6,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,7,5,1,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,5,3,8,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,4,2,8,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,6,3,8,1,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,8,5,1,2,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,5,7,1,2,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,5,7,1,3,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,7,6,1,8,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,2,1,6,3,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,5,3,2,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,10,2,1,6,4,3,5,7,8] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,10,2,1,8,4,3,5,6,9] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,9,1,10,7,4,3,5,6,8] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,8,1,9,4,3,10,5,6,7] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,8,5,2,1,6,3,4,7,9] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,5,2,1,10,6,3,4,7,8] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,7,2,1,8,5,3,4,6,9] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,2,1,10,7,5,3,4,6,8] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,8,1,9,3,10,5,4,6,7] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,6,2,1,7,3,8,4,5,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,2,1,10,6,3,7,4,5,8] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,2,1,9,3,10,6,4,5,7] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,2,1,8,3,9,4,10,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,8,6,3,1,4,2,5,7,9] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,9,1,10,6,4,2,5,7,8] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,7,3,1,8,4,2,5,6,9] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,3,1,10,7,4,2,5,6,8] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,3,1,9,4,2,10,5,6,7] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,8,5,1,6,3,2,4,7,9] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,5,1,10,6,3,2,4,7,8] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,7,1,8,5,3,2,4,6,9] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,1,10,7,5,3,2,4,6,8] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,9,2,10,5,4,6,7] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,6,1,7,3,2,8,4,5,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,10,6,3,2,7,4,5,8] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,1,9,3,2,10,6,4,5,7] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,1,8,3,2,9,4,10,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,8,4,1,5,2,6,3,7,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,4,1,10,5,2,6,3,7,8] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,7,1,8,4,2,5,3,6,9] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,10,7,4,2,5,3,6,8] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,1,9,4,2,10,5,3,6,7] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,6,1,7,2,8,4,3,5,9] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,10,6,2,7,4,3,5,8] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,1,9,2,10,6,4,3,5,7] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,1,8,2,9,4,3,10,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,5,1,6,2,7,3,8,4,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,1,10,5,2,6,3,7,4,8] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,1,9,2,10,5,3,6,4,7] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,1,8,2,9,3,10,5,4,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,2,7,5,4,1,6,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,7,4,5,3,2,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,2,6,7,4,8,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,1,7,3,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,8,1,5,2,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,2,4,1,6,3,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,1,5,3,4,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,7,5,4,2,6,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,7,8,2,3,6,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,7,3,1,4,5,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,2,4,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,2,3,1,4,5,6,7,8,9] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,2,3,4,1,5,6,7,8] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,8,4,5,7,6,3,2,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[9,8,5,4,6,7,3,2,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[10,9,8,6,5,7,4,3,2,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[10,9,8,4,5,7,6,3,2,1] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[9,8,4,5,3,7,6,2,1] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[9,8,3,5,7,6,4,2,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[9,8,5,4,6,3,7,2,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[9,8,4,3,6,7,5,2,1] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[10,9,8,5,4,6,7,3,2,1] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[3,8,6,7,5,4,2,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[7,8,5,1,4,6,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,5,4,6,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,7,6,3,1,2,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,7,1,3,2,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,7,5,3,2,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,6,3,1,5,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,1,4,5,6,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,3,8,6,4,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,4,1,3,2,7,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,4,7,6,1,8,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,1,6,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,2,1,6,7,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,8,6,2,4,7,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,6,4,3,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,8,5,7,1,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,8,1,5,7,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,2,5,7,6,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,5,8,1,7,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,6,4,8,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,2,7,5,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,3,8,7,5,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,8,6,4,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,7,2,6,1,4,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,1,8,3,6,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,4,7,3,2,1,6] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,8,6,1,2,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,6,5,7,1,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,3,5,6,8,4,1] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,1,3,4,7,2,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,7,5,6,4,1,3,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[7,2,4,5,3,1,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,3,1,4,5,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,1,7,8,6,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,4,7,8,1,6,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,7,6,5,1,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,8,2,3,7,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,8,5,4,1,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,9,1,3,4,5,6,2] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,9,3,4,5,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,2,3,5,9,6,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,2,4,5,6,9,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,8,3,4,6,5,7] => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,7,3,5,4,6] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,2,6,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,5,6,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,4,7,2,3,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,1,2,3,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,4,2,5,6,7,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,4,5,6,3,7,8,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,5,6,7,8,4,9] => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,5,3,6,7,4,8,9] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,5,6,4,2,7,8,9] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,2,1,6,4,7,8,9] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,6,4,7,8,9,5] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,4,6,7,2,8,5,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,6,1,4,7,8,5,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,6,1,7,5,3,8,9] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,3,2,1,7,5,8,9] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,1,7,5,8,3,9,6] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,7,2,1,5,8,9,6] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,5,7,8,6,4,2,9] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,2,1,8,6,4,9] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,7,4,3,2,1,8,6,9] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,6,8,1,9,7,5,3] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,8,3,2,1,9,7,5] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,5,4,3,2,1,9,7] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,4,2,5,6,7,8,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,4,5,6,3,7,8,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,3,5,6,7,8,4,9,10] => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,1,5,3,6,7,4,8,9,10] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,5,6,4,2,7,8,9,10] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,5,2,1,6,4,7,8,9,10] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,3,6,4,7,8,9,5,10] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,3,4,6,7,2,8,5,9,10] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,2,6,1,4,7,8,5,9,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,6,1,7,5,3,8,9,10] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,6,3,2,1,7,5,8,9,10] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,4,2,7,8,5,9,10,6] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,2,1,7,4,5,8,9,10,6] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,4,5,7,8,9,6,3,10] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,3,7,2,1,5,8,9,6,10] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,5,7,8,6,4,2,9,10] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,7,2,1,8,6,4,9,10] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,7,4,3,2,1,8,6,9,10] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,5,3,8,6,9,10,7,4] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,5,6,8,9,4,2,10,7] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,5,2,8,1,6,9,4,10,7] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,4,8,3,2,1,6,9,10,7] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,8,1,9,7,5,3,10] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,8,3,2,1,9,7,5,10] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,8,5,4,3,2,1,9,7,10] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,7,9,2,1,10,8,6,4] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,7,9,4,3,2,1,10,8,6] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,9,6,5,4,3,2,1,10,8] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,6,3,7,2,8,1,9] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,6,7,4,8,3,9,2] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,1,6,2,7,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,3,5,4,2,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,2,4,5,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,2,8,6,5,1,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,4,7,1,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,3,6,2,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,2,4,8,7,1,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,2,7,4,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,6,5,8,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,2,5,7,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,1,5,8,6,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,4,1,6,8,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,7,2,3,8,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,5,7,4,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,3,6,5,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,5,6,3,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,5,4,7,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,1,5,4,2,8,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,6,8,7,2,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,5,3,1,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,2,6,8,7,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,6,2,8,7,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,6,7,2,3,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,7,6,1,2,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,5,7,2,1,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,7,5,6,1,10,9,4,8] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,10,6,9,8,5,1,7] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,6,5,9,10,8,4,1,7] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,9,5,8,7,4,1,10,6] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,9,6,10,8,3,1,7] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,4,8,9,7,3,1,10,6] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,10,6,7,1,9,8,5] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,7,5,6,1,10,9,8,4] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,10,6,8,9,1,7,5] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,6,5,8,10,9,1,7,4] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,8,5,7,9,1,10,6,4] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,4,8,6,10,9,1,7,3] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,4,7,8,9,1,10,6,3] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,10,6,9,8,7,5,1] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,5,9,10,8,7,4,1] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,5,9,8,10,6,4,1] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,9,5,8,7,6,4,1,10] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,4,9,6,10,8,7,3,1] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,9,7,8,10,6,3,1] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,8,9,7,6,3,1,10] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,10,7,9,8,1,6,5] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,7,10,9,8,1,6,4] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,6,9,7,1,10,5,4] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,7,5,10,9,8,1,6,3] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,8,9,7,1,10,5,3] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,10,7,8,9,6,5,1] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,7,10,8,9,6,4,1] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,6,8,9,10,5,4,1] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,9,6,7,8,5,4,1,10] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,7,5,10,8,9,6,3,1] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,7,8,9,10,5,3,1] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,6,9,7,8,5,3,1,10] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,8,9,7,10,4,3,1] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,7,8,9,4,3,1,10] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,5,10,9,8,1,6,2] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,4,8,9,7,1,10,5,2] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,7,4,5,10,8,9,6,2,1] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,4,7,8,9,10,5,2,1] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,4,9,7,8,5,2,1,10] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,8,9,7,10,4,2,1] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,7,8,9,4,2,1,10] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,4,8,6,3,5,1,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[7,2,4,3,6,1,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,7,8,6,1,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,7,1,4,2,8,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,7,6,2,3,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,5,6,7,8,9,2,4,1] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,6,7,8,2,5,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,6,7,8,9,1,3,5] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,5,6,7,3,8,1,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,7,8,9,3,1,4] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,8,4,6,2,1,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,3,4,2,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,6,2,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,8,2,7,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,2,8,5,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,6,3,7,4,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,3,8,4,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,3,7,4,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,6,3,5,4,8,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,3,2,8,4,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,6,1,7,5,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,2,7,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,2,8,5,3,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,8,1,7,5,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,6,5,3,8,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,8,7,1,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,6,8,7,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,1,8,7,5,6,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,8,7,6,3,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,7,5,3,6,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,2,3,1,5,6,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,7,6,1,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,7,2,6,4,5,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,2,1,6,4,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,4,7,6,2,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,7,1,6,4,3,5,2] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[8,4,1,7,3,6,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,4,6,3,8,1,7,2,9] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,7,4,9,2,8,3] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,4,7,3,9,1,8,2,10] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,8,1,7,2,6,3,9] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,4,8,1,6,3,7,2,9] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,9,2,8,3,7,4] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,9,2,7,4,8,3] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,7,5,8,4,10,2,9,3] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,6,7,8,9,1,10,2,3] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,5,6,7,8,1,9,3,4] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,5,6,7,1,2,8,3,9] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,6,7,8,9,2,4,5] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,5,6,7,8,1,2,9,4] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,5,4,7,6,8,10,9,1] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,5,4,6,9,7,8,10,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,5,4,6,8,7,10,9,1] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,5,4,6,7,10,8,9,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,4,7,5,6,9,8,10,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,4,7,5,6,8,10,9,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,4,6,5,9,7,8,10,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,4,6,5,8,7,10,9,1] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,4,6,5,7,10,8,9,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,4,5,9,6,7,8,10,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,4,5,8,6,7,10,9,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,4,5,7,6,10,8,9,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,4,5,6,10,7,8,9,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,5,3,4,7,6,9,8,10,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,5,3,4,7,6,8,10,9,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,5,3,4,6,9,7,8,10,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,5,3,4,6,8,7,10,9,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,5,3,4,6,7,10,8,9,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,3,7,5,6,9,8,10,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,3,7,5,6,8,10,9,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,3,6,5,9,7,8,10,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,3,6,5,7,10,8,9,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,3,5,9,6,7,8,10,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,3,5,8,6,7,10,9,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,3,5,7,6,10,8,9,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,3,5,6,10,7,8,9,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,7,4,5,6,9,8,10,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,7,4,5,6,8,10,9,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,6,4,5,9,7,8,10,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,6,4,5,8,7,10,9,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,6,4,5,7,10,8,9,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,5,4,9,6,7,8,10,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,5,4,8,6,7,10,9,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,5,4,7,6,10,8,9,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,5,4,6,10,7,8,9,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,9,5,6,7,8,10,1] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,8,5,6,7,10,9,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,7,5,6,10,8,9,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,6,5,10,7,8,9,1] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,5,1,8,7,3,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,4,7,5,2,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,1,2,6,8,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,6,7,5,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,8,3,2,6,1,7,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,8,7,6,2,5,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,4,1,5,3,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,3,4,1,7,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,4,3,6,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,5,3,1,2,7,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,6,5,3,2,8,1] => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,6,7,2,3,8,4,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,2,6,5,7,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,4,2,8,5,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,1,7,4,6,8,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,7,1,4,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,5,3,1,2,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,2,4,6,1,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,4,7,2,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,6,1,5,7,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,7,2,1,3,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,3,1,2,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,7,6,2,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,8,6,7,2,5,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,3,6,1,8,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,6,4,7,1,5,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,5,7,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,6,8,3,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,8,1,5,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,7,6,8,4,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,4,6,8,5,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,6,8,5,1,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,3,8,6,2,4,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,1,8,6,5,3,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,5,7,6,8,9,1] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,8,7,6,9,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,4,7,6,2,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,5,7,2,6,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,8,2,7,5,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,6,8,2,4,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,5,3,8,1,6,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,6,1,4,2,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,6,4,5,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,3,4,7,9,5,6,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,6,7,9,5,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,8,5,6,9,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,7,8,5,9,6] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,3,2,5,1,6,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,7,6,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,4,2,1,6,5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,4,7,6,2,1,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,2,8,7,1,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,6,5,4,1,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,3,1,8,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,2,6,7,3,8,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,3,10,1,2,4,5,6,7,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,3,1,9,2,4,5,6,7,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,4,10,2,5,6,7,8,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[8,6,7,4,3,1,5,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,7,1,8,5,3,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,7,1,4,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,7,2,1,3,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,1,7,4,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,2,5,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,4,2,7,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,2,3,1,7,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,1,8,2,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,4,7,6,2,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,5,2,7,1,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,3,5,1,6,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,3,6,2,1,4,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,7,1,8,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,2,7,6,4,5,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,2,7,6,3,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,1,7,2,4,3,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,8,1,2,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,7,1,3,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,1,5,6,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,5,3,4,1,7,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,1,3,5,4,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,1,5,2,8,7,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,4,2,7,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,1,5,2,7,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,6,5,1,3,7,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,6,2,7,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,8,2,7,5,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,1,7,2,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,6,3,4,2,5,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,2,3,1,6,8,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[10,7,1,2,3,4,8,9,5,6] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,6,4,5,7,3,2,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,5,7,2,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,6,4,8,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,6,7,3,2,4,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,4,3,1,7,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,1,4,3,7,5,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,8,2,1,5,3,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,5,1,3,7,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,2,6,4,1,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,1,3,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,3,5,7,4,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,8,5,3,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,2,1,6,4,7,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,3,8,6,5,2,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,7,3,8,5,6,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,8,5,7,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,5,4,7,2,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,8,3,2,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,5,4,3,7,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,4,3,7,6,2,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,1,5,3,4,7,2,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,8,7,4,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,5,8,6,4,3,7,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,6,4,2,1,7,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,6,1,8,4,7,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,8,6,1,2,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,1,4,6,2,7,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,6,2,1,4,8,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,2,3,7,1,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,7,5,1,3,4,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,3,2,7,8,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,6,1,5,3,8,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,6,4,2,5,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,4,5,8,7,1,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,7,8,3,2,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,4,5,8,6,7,9,1] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,9,6,8,7,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,3,4,5,2,6,7,8,1] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,3,4,5,7,8,9,10,1] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,6,3,4,5,7,8,9,10,1] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,6,4,5,7,8,9,10,1] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,6,4,5,7,1,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,6,1,5,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,6,5,2,8,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,5,8,2,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,6,4,1,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,6,2,7,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,3,7,8,6,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,3,5,1,2,7,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,3,7,2,8,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,5,4,1,7,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,1,5,8,2,6,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,5,3,1,7,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,2,3,7,1,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,1,6,4,8,3,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,3,7,5,8,4,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,4,5,7,1,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,7,1,4,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,2,7,5,6,8,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,4,5,8,6,7,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,8,2,5,4,7,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[9,2,3,4,5,1,6,7,8] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,2,3,4,5,6,9,1,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,2,3,4,5,6,7,1,8,9] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,2,3,4,5,9,1,7,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,2,3,4,5,6,1,7,8,9] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,2,3,4,9,1,6,7,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,2,3,4,5,1,6,7,8,9] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,2,3,9,1,5,6,7,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,2,3,4,1,5,6,7,8,9] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,9,1,4,5,6,7,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,8,1,3,4,5,6,10,7,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[10,7,1,2,3,4,5,9,6,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,3,2,7,6,1,8,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,4,2,8,7,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,4,2,6,1,8,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,4,7,1,6,2,8,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,7,6,2,1,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,7,1,2,3,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,6,8,2,9,3,10,7,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,4,5,6,9,3,8,2,7,1] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,10,6,9,3,8,2,7,1] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,2,6,10,9,3,7,1] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,6,9,5,4,3,8,2,7,1] => [2,2,2,1,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,2,6,10,9,5,4,3,7,1] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,10,4,5,6,7,1,9,3] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,5,6,8,2,10,7,1,9,3] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,4,5,6,8,2,7,1,9,3] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,10,6,8,2,7,1,9,3] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,10,8,2,6,7,1,9,3] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,6,8,2,7,1,9,5,4,3] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,8,2,6,7,1,9,5,4,3] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,7,1,9,3,10,4,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,5,8,2,7,1,9,3,10,6] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,5,9,3,10,7,1,8,2,6] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,5,7,1,9,3,8,2,6,10] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,2,7,1,9,5,4,3,10,6] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,5,4,3,10,7,1,8,2,6] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,9,5,4,3,8,2,6,10] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,6,10,4,5,7,1,9,3] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,8,2,6,10,5,7,1,9,3] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,10,8,2,5,6,7,1,9,3] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,2,6,10,5,7,1,9,4,3] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,8,2,5,6,7,1,9,4,3] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,3,10,4,5,7,1,8,2,6] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,9,3,10,5,7,1,8,2,6] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,9,3,10,7,1,8,2,5,6] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,7,1,9,3,8,2,5,6,10] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,4,3,10,5,7,1,8,2,6] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,4,3,10,7,1,8,2,5,6] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,1,9,4,3,8,2,5,6,10] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,10,7,1,8,2,4,3,9,6] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,7,1,8,2,4,3,9,6,10] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,5,7,1,9,4,2,6,8,3] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,4,2,5,6,7,1,10,8,3] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,5,7,1,8,3,9,4,2,6] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,7,1,8,3,9,4,2,5,6] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,1,8,3,9,4,2,5,6,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,2,5,10,7,1,8,3,9,6] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,2,5,7,1,8,3,9,6,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,8,7,2,3,4,6,5] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,7,6,2,5,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,3,8,2,5,6,4,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,2,7,4,6,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,8,4,6,2,7,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,3,6,7,4,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,5,7,6,3,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,6,7,8,9,1,2,10,3] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,5,6,7,8,1,3,9,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,7,8,4,2,6,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,1,5,3,7,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,1,3,8,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,5,1,3,7,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[10,9,7,3,6,1,2,4,8,5] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,7,3,6,1,2,4,10,8,5] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,3,10,9,6,1,2,4,8,5] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,3,9,6,1,2,4,10,8,5] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,6,1,2,4,10,7,3,8,5] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,4,10,9,7,3,6,1,2,5] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[10,8,4,9,7,3,6,1,2,5] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,8,4,10,9,6,1,2,5] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[7,3,10,8,4,9,6,1,2,5] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[10,7,3,8,4,9,6,1,2,5] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,2,7,3,8,4,10,9,5] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,1,2,7,3,10,8,4,9,5] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,1,2,10,7,3,8,4,9,5] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,6,1,2,7,3,8,4,9,5] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,1,3,10,9,7,2,4,8,5] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,3,9,7,2,4,10,8,5] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,9,6,1,3,7,2,4,8,5] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,6,1,3,7,2,4,10,8,5] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,7,2,4,9,6,1,3,8,5] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,3,8,4,10,9,7,2,5] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,3,10,8,4,9,7,2,5] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,4,10,9,6,1,3,7,2,5] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[10,8,4,9,6,1,3,7,2,5] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[9,6,1,3,8,4,10,7,2,5] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,2,6,1,3,8,4,10,9,5] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,2,6,1,3,10,8,4,9,5] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,7,2,6,1,3,8,4,9,5] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,2,10,6,1,3,8,4,9,5] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,3,6,1,4,10,9,7,2,5] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[10,8,3,6,1,4,9,7,2,5] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[10,9,6,1,4,8,3,7,2,5] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[9,6,1,4,10,8,3,7,2,5] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,9,6,1,4,10,7,2,5] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[8,3,7,2,6,1,4,10,9,5] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[10,8,3,7,2,6,1,4,9,5] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,10,7,2,6,1,4,9,5] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[7,2,8,3,10,6,1,4,9,5] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,4,10,8,3,7,2,6,1,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => [[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 5

[8,3,9,4,10,7,2,6,1,5] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[7,2,8,3,9,4,10,6,1,5] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,7,8,3,6,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,8,4,3,6,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,1,6,4,7,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,5,1,8,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,1,8,5,6,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,1,2,7,4,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,7,8,2,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,5,1,8,7,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,2,5,4,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,3,5,1,7,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,7,6,8,1,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,7,4,8,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,7,6,8,2,5,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,4,1,5,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,6,5,8,3,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,6,1,4,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,3,1,6,7,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,1,7,3,6,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,1,6,8,5,2,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,1,6,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,3,8,2,5,4,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,1,8,6,7,4,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,7,1,4,3,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,5,4,3,2,1,6,7,8] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[10,3,4,1,2,5,6,7,8,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,3,2,6,5,1,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,8,4,7,1,3,5] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,6,3,2,5,4,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,6,4,8,2,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,5,6,4,1,7,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,7,3,5,8,6,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,8,2,5,1,6,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,4,3,2,7,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,3,8,2,4,1,5,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,7,8,1,2,5,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,1,5,2,3,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,8,6,7,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,1,6,8,2,3,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,4,2,1,7,3,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,2,8,1,7,4,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,1,3,7,8,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,5,4,3,7,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,7,4,8,3,1,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,2,4,8,3,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,7,5,3,2,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,5,3,2,7,4,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,7,4,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,7,5,3,2,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,4,3,2,8,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,7,5,3,2,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,4,6,8,5,3,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,7,2,3,5,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,6,1,8,2,4,3] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,6,5,7,2,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,8,5,1,4,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,2,4,7,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,3,6,4,5,2,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,2,3,7,4,8,5,9,6] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,7,5,9,8,6] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,6,3,7,4,9,8,5] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,8,6,4,9,7,5] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,6,4,9,8,7,5] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,2,7,3,9,8,4] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,8,6,3,9,7,4] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,6,3,9,8,7,4] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,5,3,9,8,6,4] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,3,9,8,7,6,4] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,5,2,9,8,6,3] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => [[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,2,9,8,7,6,3] => [3,3,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9]] => [[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,2,9,8,7,5,3] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,9,8,7,6,5,3] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,1,9,8,6,4,2] => [2,2,2,2,1] => [[1,2],[3,4],[5,6],[7,8],[9]] => [[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[5,3,1,9,8,7,6,4,2] => [2,2,2,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9]] => [[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[1,2,3,4,8,5,9,6,10,7] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,3,4,5,8,6,10,9,7] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,7,4,8,5,10,9,6] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,9,7,5,10,8,6] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,7,5,10,9,8,6] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,6,2,7,3,8,4,10,9,5] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,6,3,9,7,4,10,8,5] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,6,3,7,4,10,9,8,5] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,8,6,4,10,9,7,5] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,6,4,10,9,8,7,5] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,6,2,9,7,3,10,8,4] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,1,6,2,7,3,10,9,8,4] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,6,3,10,9,8,7,4] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,7,5,3,10,9,8,6,4] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,3,10,9,8,7,6,4] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,8,5,2,10,9,6,3] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => [[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,9,7,5,2,10,8,6,3] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,7,5,2,10,9,8,6,3] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,5,2,10,9,8,7,6,3] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,6,4,2,10,9,7,5,3] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,4,2,10,9,8,7,5,3] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,2,10,9,8,7,6,5,3] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,5,3,1,10,9,8,6,4,2] => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[5,3,1,10,9,8,7,6,4,2] => [2,2,2,1,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,3,1,6,2,5,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,2,1,8,4,3,6] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,4,7,8,2,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,2,4,8,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,6,1,3,5,7,4,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,1,5,8,2,3,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,8,5,1,4,2,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,4,1,6,8,3,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,1,2,5,7,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,5,8,9,7,6] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,8,9,6,7,5] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,8,9,5,6,7,4] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,7,8,5,6,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,8,9,4,5,6,7,3] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,3,1,8,4,2,6,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,6,5,8,7,3,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,5,4,7,3,8,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,2,8,7,1,6,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[8,6,7,4,1,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,3,6,5,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,2,5,1,8,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,2,6,5,7,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,6,5,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,6,2,5,4,7,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,4,3,8,6,1,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,3,8,5,4,7,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,1,3,2,5,8,7,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,4,2,5,3,7,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,4,3,5,2,7,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,4,6,5,3,7,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,2,5,6,7,9,8,3] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,4,5,6,9,7,3,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,4,6,1,2,8,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,2,9,6,7,8,4] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,1,6,8,7,9,2,3] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,5,6,7,8,10,9,3] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,4,5,6,7,10,8,3,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,1,5,9,6,7,4,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,4,5,7,9,6,3,8] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,6,5,7,1,2,9,8] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,9,4,2,6,7,8,5] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,3,5,6,1,8,2,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,5,3,9,6,8,7,4] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,2,6,10,7,8,9,4] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,5,1,7,6,8,2,9,3] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,1,6,7,9,8,10,2,3] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,7,6,3,4,2,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,7,2,3,5,8,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,5,4,8,7,2,3,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[7,2,8,3,9,4,10,5,1,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,2,8,3,9,4,10,1,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,2,8,3,9,10,4,5,1,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,2,8,3,9,10,4,1,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,2,8,3,9,10,1,4,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,2,8,9,3,4,10,5,1,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,2,8,9,3,4,10,1,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,2,8,9,3,10,4,5,1,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,2,8,9,3,10,4,1,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,2,8,9,3,10,1,4,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,2,8,9,10,3,4,5,1,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,2,8,9,10,3,4,1,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,2,8,9,10,3,1,4,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,2,3,9,4,10,5,1,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,2,3,9,4,10,1,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,2,3,9,10,4,5,1,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,2,3,9,10,4,1,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,2,3,9,10,1,4,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,2,9,3,4,10,5,1,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,2,9,3,4,10,1,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,2,9,3,10,4,5,1,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,2,9,3,10,4,1,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,2,9,3,10,1,4,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,2,9,10,3,4,5,1,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,2,9,10,3,4,1,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,2,9,10,3,1,4,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,2,9,10,1,3,4,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,9,2,3,4,10,5,1,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,9,2,3,4,10,1,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,9,2,3,10,4,5,1,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,9,2,3,10,4,1,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,9,2,3,10,1,4,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,9,2,10,3,4,5,1,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,9,2,10,3,4,1,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,9,2,10,3,1,4,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,9,2,10,1,3,4,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,9,10,2,3,4,1,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,9,10,2,3,1,4,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,9,10,2,1,3,4,5,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,8,7,6,5,3,2,1,9] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,9,8,7,6,4,3,2,1,10] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,8,7,4,6,3,2,1,9] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,7,6,5,3,2,1,9] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[5,7,4,3,6,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,9,8,5,7,4,1,3,2] => [2,2,2,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9]] => [[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[9,8,7,5,1,6,4,3,2] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[10,9,8,6,1,7,5,4,3,2] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[1,2,8,3,4,5,6,9,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,9,5,2,3,8,4,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,9,3,4,5,6,7,10,8] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,8,2,9,4,3,5,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,4,9,8,5,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,4,5,9,8,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,5,9,6,7,10,8] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[9,1,7,2,3,4,5,8,6] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,10,6,2,3,4,9,5,7,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,8,5,2,3,4,6,9,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,8,1,2,3,5,6,4,7] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,2,9,3,10,4,6,7,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,4,2,3,9,5,6,8,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,8,5,6,2,3,7,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,9,8,1,2,5,3,6,7] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,4,3,10,9,5,6,7,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,2,4,5,9,6,8,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,8,3,9,4,2,5,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,2,4,5,10,9,6,7,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,1,4,9,8,5,6,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,1,3,4,5,9,6,10,7,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[8,5,6,1,3,2,7,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,8,2,6,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,8,3,6,1,7,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,8,7,2,3,1,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,3,6,2,4,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,3,2,5,8,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,7,3,4,2,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,2,3,7,4,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,6,3,5,2,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,3,1,6,4,8,7,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,1,2,7,6,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[10,7,8,1,2,3,4,5,6,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,7,10,1,2,3,4,5,8,9] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,7,8,5,6,2,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,10,2,3,4,7,5,6,8,9] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,4,3,6,2,5,8,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,8,7,1,6,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,3,8,4,7,2,6] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,2,3,1,6,5,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,7,1,3,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,2,3,1,6,7,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,7,2,3,6,5,8,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,2,6,4,7,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,8,6,2,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,7,4,8,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,3,5,1,4,8,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,4,1,7,2,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,6,1,7,4,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,6,4,8,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,8,6,2,4,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,7,5,4,6,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,6,7,4,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,6,4,7,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,8,1,5,3,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,3,5,8,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,1,4,3,7,8,6,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,8,6,3,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,6,3,4,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,3,6,1,2,7,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,4,5,6,7,9,2,10,8] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[5,8,3,6,7,2,4,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,2,5,7,4,3] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,1,5,3,6,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,7,3,4,2,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,8,6,2,4,7,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,6,4,2,1,8] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,7,3,6,4,1,8,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,7,5,6,4,1,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,8,2,3,4,5,9,6] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,8,1,2,3,4,5,9,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[9,6,7,4,5,2,3,1,8] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[9,8,6,5,4,3,7,2,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[2,8,5,7,3,4,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,6,4,5,1,7,8,9] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,8,5,6,7,1,9] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,4,7,2,6,1,8,9] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,6,4,1,5,3,7,8,9] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,2,6,3,1,7,8,9] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,4,5,9,2,7,8,1] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,4,7,8,6,3,1,9] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,5,8,3,7,1,9] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,7,6,1,4,2,8,9] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,2,3,7,4,1,8,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,7,2,3,6,9,4,8,1] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,4,1,6,3,7,5,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,7,8,3,1,5,2,9] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,7,2,3,4,8,5,1,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,9,7,1,8,2,6,4] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,8,3,9,4,1,6,2] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,8,2,3,4,5,9,6,1] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,3,1,5,6,7,8,9,10] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,6,4,5,1,7,8,9,10] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,2,1,6,7,8,9,10] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,8,5,6,7,1,9,10] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,5,4,7,2,6,1,8,9,10] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,6,4,1,5,3,7,8,9,10] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,5,2,6,3,1,7,8,9,10] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,6,4,5,9,2,7,8,1,10] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,5,4,7,8,6,3,1,9,10] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,2,5,8,3,7,1,9,10] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,7,6,1,4,2,8,9,10] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,6,2,3,7,4,1,8,9,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,5,4,8,6,10,7,3,9,1] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,7,2,5,6,10,3,8,9,1] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,9,5,6,1,7,8,4,10] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,7,2,3,6,9,4,8,1,10] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,8,4,1,6,3,7,5,9,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,6,7,8,3,1,5,2,9,10] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,7,2,3,4,8,5,1,9,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,6,4,10,8,7,1,5,9,2] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,7,4,9,6,3,10,8,5,1] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,8,7,3,9,10,5,2,1] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,8,2,3,4,7,10,5,9,1] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,9,7,1,8,2,6,4,10] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,7,8,3,9,4,1,6,2,10] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,2,3,4,5,9,6,1,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,6,8,10,9,1,5,2,7,3] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,8,9,3,4,10,5,1,7,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,9,2,3,4,5,6,10,7,1] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,1,3,8,5,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,3,6,8,2,4,1,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,8,6,3,2,4,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,2,5,3,8,4,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,2,5,1,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,3,4,5,7,2,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,8,2,4,3,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,8,2,3,4,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,5,3,4,6,2,7] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,7,2,4,3,6,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,2,4,8,5,6,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,8,2,3,7,4,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,2,3,5,4,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,1,3,2,6,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,3,5,4,6,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,8,4,5,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,7,3,1,8,5,6,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,8,5,2,1,6,7,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[10,1,2,9,6,3,4,5,7,8] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,1,2,10,3,5,9,6,7,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,8,7,1,2,5,3,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,6,1,4,3,5] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,1,7,3,8,2,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,6,4,2,3,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,3,5,8,2,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,5,7,4,6,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,7,6,8,3,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,2,8,6,5,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,6,4,2,3,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,2,7,5,1,6,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,4,6,7,1,5,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,8,5,1,4,2,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,6,2,5,3,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,5,2,4,3,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,8,5,1,4,3,6,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,7,6,5,4,3,2,8,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[3,1,4,6,2,5,8,7,9] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,3,2,5,7,4,6,9,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,9,8,5,6,7,4,3,2] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,10,9,8,5,6,7,4,3,2] => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,9,8,5,4,6,7,3,2] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[1,10,9,5,6,7,8,4,3,2] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,9,5,4,6,7,8,3,2] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,10,4,5,6,7,8,9,3,2] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,1,2,5,7,6,8,4] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,1,7,3,2,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,2,3,5,1,6,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,3,7,5,1,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,7,2,4,3,5,6,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,2,4,3,5,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,1,2,4,7,3,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,2,8,4,5,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,5,7,3,2,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,7,5,6,8,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,6,2,1,4,5,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,8,7,2,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,4,8,7,6,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,2,3,4,7,5,6,9,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,6,7,5,2,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,5,3,1,8,7,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,5,3,8,7,1,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,4,5,3,8,7,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,4,5,8,7,3,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,7,5,2,3,1,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,7,4,5,3,1,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,4,7,5,3,1,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,2,6,7,5,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,4,6,7,5,3,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,5,8,7,3,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,2,8,7,5,3,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,3,8,7,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,7,2,4,5,3,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,7,4,5,3,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[2,8,4,7,5,3,1,6] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,8,7,4,6,3,1,2] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[6,5,8,4,7,2,1,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[4,8,6,2,5,7,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,6,2,5,7,3,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,2,4,7,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,5,3,2,7,4,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,3,7,6,2,5,4,1] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[1,2,7,4,5,6,8,9,3] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,3,1,2,6,7,8,9,10,4] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,3,4,5,1,2,8,9,10,6] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,3,4,5,6,1,2,9,10,7] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,7,8,5,6,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,6,5,8,7,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,8,9,5,6,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,6,1,3,5,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,1,3,8,7,2,6] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,7,1,8,3,4,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,5,8,1,7,2,3] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,8,5,1,4,7,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,7,6,1,8,3,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,7,8,9,3,4,5,6] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,6,7,8,9,10,1,3,4,5] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[9,7,5,3,8,6,4,2,1] => [2,2,2,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9]] => [[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[10,8,9,7,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[7,4,5,8,6,3,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,9,7,4,3,2,1,5] => [2,2,2,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9]] => [[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,6,3,2,1,4,9,7,5] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,4,9,7,5,2,1,3] => [2,2,2,2,1] => [[1,2],[3,4],[5,6],[7,8],[9]] => [[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[10,8,6,4,9,7,5,3,2,1] => [2,2,2,1,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[9,7,5,3,8,6,4,1,2] => [2,2,2,2,1] => [[1,2],[3,4],[5,6],[7,8],[9]] => [[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[10,8,6,4,2,1,9,7,5,3] => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[9,6,7,8,5,4,3,2,1] => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[10,8,9,6,5,4,3,2,1,7] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,5,6,9,7,4,3,2,1] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[9,7,10,8,5,4,3,2,1,6] => [2,2,2,1,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,6,3,2,1,9,7,4,5] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[9,7,8,4,3,2,1,5,6] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[9,7,4,3,2,1,5,10,8,6] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,3,4,9,7,5,2,1] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,9,7,3,2,1,4,5] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[9,7,5,10,8,6,3,2,1,4] => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[9,7,5,2,3,8,6,4,1] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,1,3,4,9,7,5] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,8,6,4,9,7,5,2,1,3] => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[8,6,4,9,7,5,1,2,3] => [3,2,2,2] => [[1,2,3],[4,5],[6,7],[8,9]] => [[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[10,8,6,4,1,2,9,7,5,3] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,6,3,7,4,8,9] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,6,1,7,3,8,4,9,5] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,6,1,7,2,8,5,9] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,6,1,7,4,8,5,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,5,6,1,7,3,8,9] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,2,6,1,7,5,8,9] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,5,7,1,8,3,9,6] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,2,7,1,8,5,9,6] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,3,6,4,7,1,8,2,9] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,2,6,7,1,8,4,9] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,5,2,7,1,8,6,9] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,2,7,5,8,1,9,3] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,3,6,2,7,8,1,9,5] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,5,3,6,2,8,1,9,7] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,5,1,6,3,7,4,8,9,10] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,4,5,1,6,2,7,8,9,10] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,6,1,7,3,8,4,9,5,10] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,4,6,1,7,2,8,5,9,10] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,2,6,1,7,4,8,5,9,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,2,5,6,1,7,3,8,9,10] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,2,6,1,7,5,8,9,10] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,7,1,8,4,9,5,10,6] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,5,6,7,1,8,2,9,3,10] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[3,4,2,7,1,8,5,9,6,10] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,3,6,4,7,1,8,2,9,10] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,5,2,6,7,1,8,4,9,10] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,3,5,2,7,1,8,6,9,10] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,2,6,7,8,1,9,3,10,4] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,3,6,4,8,1,9,2,10,7] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,5,2,6,8,1,9,4,10,7] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,3,5,2,8,1,9,6,10,7] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,6,2,7,5,8,1,9,3,10] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,3,6,2,7,8,1,9,5,10] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,3,6,2,8,1,9,7,10] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,3,7,2,8,6,9,1,10,4] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,3,7,2,8,9,1,10,6] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,4,6,3,7,2,9,1,10,8] => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,7,8,9,2,3,4,5] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,5,6,7,1,9,2,3,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,5,6,7,9,1,2,4,8] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,1,6,7,8,2,9,3,4] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,1,6,7,8,9,2,3,5] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,1,6,7,8,9,10,2,3,4] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[7,4,1,3,6,8,2,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,8,1,2,7,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,2,8,7,3,4,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,8,5,7,4,3,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,8,1,2,4,7,6,5] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,5,7,3,6,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,8,1,4,6,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,2,4,7,5,8,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,4,6,2,5,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,3,5,8,1,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,8,4,5,6,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,7,8,6,3,1,5] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,1,4,2,8,6,3,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,7,4,8,1,6,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,3,5,8,7,4,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,4,6,3,5,1,7,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,2,6,8,4,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,4,5,7,1,6,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,2,6,7,3,5,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,7,8,6,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,8,2,3,7,5] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,6,2,3,5,8,4,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[2,8,5,7,6,3,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[2,5,7,8,6,4,1,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,4,1,6,2,5,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,3,1,5,6,8,9,4,7] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,6,2,4,8,7,3,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,5,6,2,3,7,4,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,1,4,5,6,2,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,8,9,1,3,4,2] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,7,8,9,1,3,4,5,2] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,7,8,9,1,4,5,2,3] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,7,8,9,1,4,5,3,2] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,9,1,5,4,3,2] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,9,1,4,5,6,2,3] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,8,9,1,4,5,6,3,2] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,9,1,5,6,3,4,2] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => [[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,9,1,5,6,4,3,2] => [3,3,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9]] => [[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,9,1,6,5,4,3,2] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,9,1,5,6,7,3,4,2] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,9,1,5,6,7,4,3,2] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,9,1,6,7,4,5,2,3] => [3,2,2,2] => [[1,2,3],[4,5],[6,7],[8,9]] => [[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,9,1,6,7,4,5,3,2] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,9,1,6,7,5,4,3,2] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[9,1,7,8,5,6,3,4,2] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[9,1,7,8,5,6,4,3,2] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,8,9,10,1,3,4,2] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,6,7,8,9,10,1,4,3,2] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,8,9,10,1,4,5,6,2,3] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,9,10,1,4,5,6,3,2] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,8,9,10,1,5,6,4,3,2] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,9,10,1,6,5,4,3,2] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,9,10,1,4,5,6,7,2,3] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,9,10,1,4,5,6,7,3,2] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,1,5,6,7,2,3,4] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,9,10,1,5,6,7,4,3,2] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,9,10,1,6,7,4,5,2,3] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,1,6,7,4,5,3,2] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,9,10,1,6,7,5,4,3,2] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,9,10,1,7,6,5,4,3,2] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[9,10,1,6,7,8,3,4,5,2] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,10,1,6,7,8,4,5,2,3] => [4,2,2,2] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,10,1,6,7,8,4,5,3,2] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,10,1,6,7,8,5,4,3,2] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,10,1,7,8,5,6,3,4,2] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[9,10,1,7,8,5,6,4,3,2] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[9,10,1,7,8,6,5,4,3,2] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[10,1,8,9,6,7,4,5,3,2] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,1,8,9,6,7,5,4,3,2] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[10,1,8,9,7,6,5,4,3,2] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[2,6,1,4,7,5,8,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,5,7,2,6,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,1,7,5,2,6,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,2,7,5,1,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,2,7,3,1,6,8,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,2,1,3,4,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,6,3,1,2,7,8,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,7,9,6,8,1] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,6,9,5,7,8,1] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,5,6,8,4,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,5,9,4,6,7,8,1] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,4,5,8,3,6,7,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,4,9,3,5,6,7,8,1] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,9,8,7,6,4,3,1,2] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[5,4,8,7,6,3,2,1,9] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,8,7,6,3,1,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,5,9,8,7,4,3,1,2] => [2,2,2,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9]] => [[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[8,7,4,6,5,3,1,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[9,5,8,7,6,4,3,1,2] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[6,10,9,8,7,5,4,3,1,2] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,1,4,3,6,2,5,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,3,7,8,4,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,2,8,5,6,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,2,1,3,8,4,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,5,8,2,6,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,1,3,8,6,4,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,3,6,4,5,8,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,4,3,5,8,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,1,3,8,2,4,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,4,3,8,6,2,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,1,3,8,6,2,5,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,4,6,3,8,2] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,7,8,3,5,1,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,6,7,1,8,4,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,4,3,8,2,6] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,8,1,7,3,2,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,6,7,1,3,8,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,3,4,5,6,1,8,9,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,1,7,8,9,6] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,6,3,1,4,7,8,5] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,9,3,4,5,6,1,7,8] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,6,7,1,9,10,8] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,7,3,4,1,8,5,6] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,8,3,4,5,1,6,9,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,7,3,4,1,5,8,9,6] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,5,1,7,8,9,10,6] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[2,6,3,1,4,7,8,9,5] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,1,5,6,7,8,9,10,4] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[4,2,5,3,7,6,9,8,1] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,6,3,7,5,9,8,1] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,6,3,8,5,9,7,1] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,6,3,8,5,1,7,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,6,3,5,8,1,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,2,6,3,8,5,7,1,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,6,3,5,8,7,1,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,3,6,5,8,7,1,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,5,3,7,6,9,8,1,10] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,2,6,3,7,4,9,8,1] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,6,3,7,5,9,8,1,10] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,2,7,3,8,5,9,6,1] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,6,3,8,5,9,7,1,10] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,2,6,3,9,5,1,7,8] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,6,3,8,5,10,7,1,9] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,2,6,3,8,5,7,9,1] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,6,3,8,5,10,7,9,1] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,2,6,3,5,8,1,7,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,6,3,8,5,7,10,9,1] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,2,3,6,8,5,7,1,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,6,3,5,8,7,10,9,1] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,4,6,3,5,8,7,1,9] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,3,6,5,8,7,10,9,1] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,4,2,6,8,5,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[8,5,2,4,6,3,1,7] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,1,2,8,5,6,3] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,1,8,5,2,3,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,4,1,6,3,5,2,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,3,4,1,6,8,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,3,5,7,4,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[8,6,2,5,7,3,4,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,3,4,8,5,1,2,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,5,1,2,7,4,6,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,2,6,8,3,4,5,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,5,4,8,2,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,8,5,4,2,6,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,4,5,6,9,2,1,8,7] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,8,2,9,1,7,6] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,7,2,8,9,1,5,6] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,2,7,8,9,1,5,4] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,2,6,7,8,9,1,4,3] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,6,9,1,7,8,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,6,7,10,2,1,9,8] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,8,9,6,1,7,2] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,6,9,2,10,1,8,7] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,7,8,5,9,1,2,6] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,9,2,6,1,8,7] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,8,2,9,10,1,6,7] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,6,7,4,8,9,1,5,2] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,8,2,5,9,1,7,6] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,7,2,8,9,10,1,6,5] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,6,3,7,8,9,1,4,2] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,7,2,4,8,9,1,5,6] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,6,2,7,8,9,10,1,5,4] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[6,2,3,7,8,9,1,5,4] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,2,6,7,8,9,10,1,3,4] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,9,7,6,5,4,1,3,2] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[8,7,9,6,5,4,1,3,2] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[9,7,8,6,5,4,1,3,2] => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[9,10,8,7,6,5,4,1,3,2] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[10,8,7,6,5,4,3,2,9,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[1,3,2,4,5,6,9,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,1,4,5,6,9,7,8] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,8,6,1,2,4,3,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,1,5,7,3,6,8,2] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,5,7,6,8,2,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,7,2,1,6,8,4,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,3,1,7,8,5,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,2,5,7,4,1,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,6,1,8,7,4,5,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,9,5,6,7,8,2,1] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[2,9,4,5,6,7,8,1,10,3] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,2,8,5,6,7,1,9,4] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,8,4,5,6,1,3,9,2] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,9,6,7,8,2,5] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,8,9,5,6,7,2,1,3] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,10,5,6,7,8,9,2,1] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,2,9,5,6,7,8,1,10,4] => [6,2,2] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,9,4,5,6,7,1,3,10,2] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,2,3,8,6,7,1,9,5] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,8,4,5,1,3,7,9,2] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,7,1,3,5,6,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,5,7,8,2,6,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[3,5,1,4,9,7,8,2,6] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,3,4,9,6,7,2,5,1] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,1,10,6,7,8,9,2,5] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,7,9,5,6,2,1,8,3] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,9,10,5,6,7,8,2,1,3] => [5,2,2,1] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,3,2,7,6,4,1,8] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,4,6,2,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,3,2,1,8,6,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,6,3,2,1,8,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,2,7,5,4,1,8,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[1,7,3,5,4,2,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,7,4,1,8,6,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,3,5,4,1,6,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[7,5,1,6,8,3,2,4] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,3,1,7,6,8,2,4] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,5,3,2,4,8,6] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,2,5,3,4,6,7,9] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,1,5,2,4,3,6,8] => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,9,2,3,6,4,5,7,8] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,1,2,3,6,4,5,7,8,10] => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,1,2,6,4,3,5,7,9] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,6,3,5,4,7,9] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,9,2,3,7,5,4,6,8] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,9,2,3,7,4,6,5,8] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,7,8,9,3,2,1,4] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,7,8,9,3,4,1,2,5] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,7,8,9,3,4,2,1,5] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,9,3,4,5,1,2,6] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,8,9,3,4,5,2,1,6] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,9,4,5,2,3,1,6] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => [[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,9,4,5,3,2,1,6] => [3,3,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9]] => [[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,9,4,5,6,2,3,1,7] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,9,4,5,6,3,2,1,7] => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,9,5,6,3,4,1,2,7] => [3,2,2,2] => [[1,2,3],[4,5],[6,7],[8,9]] => [[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,9,5,6,3,4,2,1,7] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,9,5,6,4,3,2,1,7] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[9,6,7,4,5,3,2,1,8] => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,6,7,8,9,10,3,2,1,4] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,8,9,10,3,4,5,1,2,6] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[7,8,9,10,3,4,5,2,1,6] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,8,9,10,4,5,2,3,1,6] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[7,8,9,10,4,5,3,2,1,6] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,9,10,5,4,3,2,1,6] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,9,10,3,4,5,6,1,2,7] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,9,10,3,4,5,6,2,1,7] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,4,5,6,1,2,3,7] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[8,9,10,4,5,6,3,2,1,7] => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,9,10,5,6,3,4,1,2,7] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 6

[8,9,10,5,6,3,4,2,1,7] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 5

[8,9,10,5,6,4,3,2,1,7] => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,9,10,6,5,4,3,2,1,7] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[9,10,5,6,7,2,3,4,1,8] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,10,5,6,7,3,4,1,2,8] => [4,2,2,2] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,10,5,6,7,3,4,2,1,8] => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,10,5,6,7,4,3,2,1,8] => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,10,6,7,4,5,3,2,1,8] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[9,10,6,7,5,4,3,2,1,8] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[9,10,7,6,5,4,3,2,1,8] => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 2

[10,7,8,5,6,3,4,2,1,9] => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,7,8,5,6,4,3,2,1,9] => [3,2,1,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[10,7,8,6,5,4,3,2,1,9] => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 2

[1,8,3,6,2,4,7,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,8,7,5,6,4,2,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[6,8,2,1,5,4,3,7] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,9,1,2,3,7,8,4,5,6] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[10,9,1,2,8,7,3,4,5,6] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,8,1,10,7,2,3,4,5,6] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,6,1,2,3,4,5,9,10,7] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,7,1,2,3,4,8,9,10,6] => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[10,4,1,2,3,7,8,9,5,6] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,3,1,2,9,7,8,4,5,6] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,9,1,10,8,7,3,4,5,6] => [5,3,1,1] => [[1,2,3,4,5],[6,7,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,3,2,1,5,8,4,7] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[4,3,5,6,2,8,1,7] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[6,3,5,2,7,8,4,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,5,3,1,6,8,2,7] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,6,7,5,1,8,2] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,4,1,2,5,6,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,8,2,6,7,1,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,5,8,3,7,1,4,2] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 4

[9,1,2,8,4,3,5,6,7] => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,9,3,2,4,6,5,7] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[9,8,2,1,3,5,6,4,7] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,9,2,4,5,6,3,7] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[2,3,4,10,6,7,8,9,1,5] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,10,5,6,7,8,9,1,4] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,6,10,1,9,7,8] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,4,5,10,1,8,9,6,7] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,3,10,1,6,7,8,9,4,5] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,5,2,4,7,6,8,3] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,6,5,8,7,9,2] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,6,5,8,7,9,3] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,6,4,8,7,9,3] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,7,4,8,6,9,3] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,7,4,9,6,8,3] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,7,4,6,9,8,3] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,4,7,6,9,8,3] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,5,4,7,6,9,8,3] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,4,2,6,5,8,7,10,9,3] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,5,2,6,3,8,7,9,4] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,6,4,8,7,10,9,3] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,6,2,7,4,8,5,9,3] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,7,4,8,6,10,9,3] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,5,2,8,4,9,6,7,3] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,7,4,9,6,10,8,3] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,5,2,7,4,6,8,9,3] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,7,4,9,6,8,10,3] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,5,2,4,7,9,6,8,3] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,7,4,6,9,8,10,3] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,5,7,4,6,9,8,3] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,5,2,4,7,6,9,8,10,3] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,5,4,7,6,9,8,10,3] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[2,5,4,7,1,8,3,6] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,1,2,4,6,3,5,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,6,8,9,7,1,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,7,8,9,6,1,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,5,6,7,8,9,4,1,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[4,5,6,7,8,9,3,1,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,6,7,9,10,8,1,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,8,1,9,7,6,2] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,5,6,8,9,10,7,1,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,7,1,8,9,6,5,2] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,7,8,9,4,5,2] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,6,7,8,9,10,5,1,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,1,6,7,8,9,4,3,2] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,5,6,7,8,9,10,4,1,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,5,6,7,8,9,3,2,4] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,6,7,10,1,8,9,2] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,4,5,8,9,6,7,1,2] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,6,9,1,10,8,7,2] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,7,8,5,9,6,1,2] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,9,1,6,7,8,2] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,5,8,1,9,10,7,6,2] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,4,8,1,5,9,7,6,2] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,4,7,1,8,9,10,5,6,2] => [6,3,1] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[5,6,3,7,8,9,4,1,2] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[3,7,8,4,5,6,1,2] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,1,4,8,9,6,5,2] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,6,1,7,8,9,10,5,4,2] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,2,6,7,8,9,3,1,4] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[6,1,3,7,8,9,4,5,2] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[5,1,6,7,8,9,10,4,3,2] => [6,2,1,1] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,6,7,8,9,4,3,5] => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,3,8,6,7,4,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,3,7,1,8,4] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[5,7,1,3,6,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[8,2,5,4,1,7,3,6] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,1,7,6,4,2,3,5] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[6,4,8,7,3,2,5,1] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 3

[5,6,2,8,7,4,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[3,7,5,6,4,2,8,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[5,2,3,8,6,1,4,7] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,8,5,6,2,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,2,6,4,3,5,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,5,8,7,2,3,6,1] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[7,8,6,1,4,2,5,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[6,10,5,1,2,3,4,7,8,9] => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[10,5,4,1,2,3,6,7,8,9] => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[8,3,6,5,2,7,1,4] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[5,1,3,6,4,2,7,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,1,2,4,7,5,3,8] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[8,3,1,4,6,7,2,5] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,5,1,2,6,3,4] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[6,4,5,1,8,7,3,2] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[8,6,2,1,7,3,5,4] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[9,3,4,5,6,8,7,2,1] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,4,3,5,6,7,8,2,1] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[10,9,3,4,5,6,8,7,2,1] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,8,3,4,5,7,6,2,1] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[9,8,4,3,5,6,7,2,1] => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[10,9,4,3,5,6,7,8,2,1] => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[10,3,4,5,6,7,9,8,2,1] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,3,4,5,6,2,8,7,1] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[9,2,4,5,6,8,7,3,1] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,4,3,5,6,7,2,8,1] => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[9,3,2,5,6,7,8,4,1] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[10,4,3,5,6,7,8,9,2,1] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,8,6,1,4,3,5,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,3,5,7,2,8,1,9] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[5,6,3,4,7,2,8,1,9] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[4,3,6,2,5,7,1,8] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,5,7,4,6,8,3,9,2] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,6,5,7,3,4,8,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[1,6,7,4,5,8,3,9,2] => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,7,5,6,8,4,9,3,10,2] => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,2,3,4,8,5,9,6,7] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,5,8,6,9,7,10] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[1,2,3,7,4,5,8,6,9] => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,2,3,4,8,6,5,7,9] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,9,7,5,6,8] => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 6

[1,2,3,4,5,9,6,10,7,8] => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 8

[8,2,6,5,1,7,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,6,4,1,2,5,8,3] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[2,6,5,4,8,7,1,3] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,7,1,3,2,4,8] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,1,8,4,3,2,6,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[2,1,4,9,3,5,6,7,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,7,1,2,4,5,6,9,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[3,1,2,6,9,4,5,7,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[4,6,1,2,3,5,9,7,8] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 7

[1,8,5,2,7,6,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,6,8,2,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[1,7,8,6,2,5,4,3] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,6,5,7,1,8,2,3] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[7,5,3,6,8,4,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[7,2,5,6,4,8,3,1] => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 3

[7,4,6,2,8,5,3,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[9,7,6,5,4,3,8,2,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[9,8,6,5,4,7,3,2,1] => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[5,4,3,2,1,9,7,8,6] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[10,8,7,6,5,4,3,9,2,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[10,9,7,6,5,4,8,3,2,1] => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 1

[1,6,3,4,2,5,8,7] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,5,7,6,2,3,8,4] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[1,4,3,7,6,2,5,8] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 5

[3,7,4,6,8,1,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

[4,8,3,1,7,6,2,5] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,6,1,4,3,8,7,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 4

[5,8,6,4,3,1,7,2] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 3

[4,1,3,7,8,6,5,2] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 4

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Description

The number of special entries.
An entry $a_{i,j}$ of a Gelfand-Tsetlin pattern is special if $a_{i-1,j-i} > a_{i,j} > a_{i-1,j}$. That is, it is neither boxed nor circled.

Map

Robinson-Schensted tableau shape

Description

Sends a permutation to its Robinson-Schensted tableau shape.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to the shape of its corresponding insertion and recording tableau.

Map

to Gelfand-Tsetlin pattern

Description

Sends a tableau to its corresponding Gelfand-Tsetlin pattern.
To obtain this Gelfand-Tsetlin pattern, fill in the first row of the pattern with the shape of the tableau.
Then remove the maximal entry from the tableau to obtain a smaller tableau, and repeat the process until the tableau is empty.

Map

initial tableau

Description

Sends an integer partition to the standard tableau obtained by filling the numbers $1$ through $n$ row by row.