Identifier
-
Mp00302:
Parking functions
—insertion tableau⟶
Semistandard tableaux
Mp00076: Semistandard tableaux —to Gelfand-Tsetlin pattern⟶ Gelfand-Tsetlin patterns
Mp00078: Gelfand-Tsetlin patterns —Schuetzenberger involution⟶ Gelfand-Tsetlin patterns
St000114: Gelfand-Tsetlin patterns ⟶ ℤ
Values
[1] => [[1]] => [[1]] => [[1]] => 1
[1,1] => [[1,1]] => [[2]] => [[2]] => 2
[1,2] => [[1,2]] => [[2,0],[1]] => [[2,0],[1]] => 3
[2,1] => [[1],[2]] => [[1,1],[1]] => [[1,1],[1]] => 3
[1,1,1] => [[1,1,1]] => [[3]] => [[3]] => 3
[1,1,2] => [[1,1,2]] => [[3,0],[2]] => [[3,0],[1]] => 4
[1,2,1] => [[1,1],[2]] => [[2,1],[2]] => [[2,1],[1]] => 4
[2,1,1] => [[1,1],[2]] => [[2,1],[2]] => [[2,1],[1]] => 4
[1,1,3] => [[1,1,3]] => [[3,0,0],[2,0],[2]] => [[3,0,0],[1,0],[1]] => 5
[1,3,1] => [[1,1],[3]] => [[2,1,0],[2,0],[2]] => [[2,1,0],[1,0],[1]] => 5
[3,1,1] => [[1,1],[3]] => [[2,1,0],[2,0],[2]] => [[2,1,0],[1,0],[1]] => 5
[1,2,2] => [[1,2,2]] => [[3,0],[1]] => [[3,0],[2]] => 5
[2,1,2] => [[1,2],[2]] => [[2,1],[1]] => [[2,1],[2]] => 5
[2,2,1] => [[1,2],[2]] => [[2,1],[1]] => [[2,1],[2]] => 5
[1,2,3] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => [[3,0,0],[2,0],[1]] => 6
[1,3,2] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => [[2,1,0],[1,1],[1]] => 6
[2,1,3] => [[1,3],[2]] => [[2,1,0],[1,1],[1]] => [[2,1,0],[2,0],[1]] => 6
[2,3,1] => [[1,3],[2]] => [[2,1,0],[1,1],[1]] => [[2,1,0],[2,0],[1]] => 6
[3,1,2] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => [[2,1,0],[1,1],[1]] => 6
[3,2,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]] => [[1,1,1],[1,1],[1]] => 6
[1,1,1,1] => [[1,1,1,1]] => [[4]] => [[4]] => 4
[1,1,1,2] => [[1,1,1,2]] => [[4,0],[3]] => [[4,0],[1]] => 5
[1,1,2,1] => [[1,1,1],[2]] => [[3,1],[3]] => [[3,1],[1]] => 5
[1,2,1,1] => [[1,1,1],[2]] => [[3,1],[3]] => [[3,1],[1]] => 5
[2,1,1,1] => [[1,1,1],[2]] => [[3,1],[3]] => [[3,1],[1]] => 5
[1,1,1,3] => [[1,1,1,3]] => [[4,0,0],[3,0],[3]] => [[4,0,0],[1,0],[1]] => 6
[1,1,3,1] => [[1,1,1],[3]] => [[3,1,0],[3,0],[3]] => [[3,1,0],[1,0],[1]] => 6
[1,3,1,1] => [[1,1,1],[3]] => [[3,1,0],[3,0],[3]] => [[3,1,0],[1,0],[1]] => 6
[3,1,1,1] => [[1,1,1],[3]] => [[3,1,0],[3,0],[3]] => [[3,1,0],[1,0],[1]] => 6
[1,1,1,4] => [[1,1,1,4]] => [[4,0,0,0],[3,0,0],[3,0],[3]] => [[4,0,0,0],[1,0,0],[1,0],[1]] => 7
[1,1,4,1] => [[1,1,1],[4]] => [[3,1,0,0],[3,0,0],[3,0],[3]] => [[3,1,0,0],[1,0,0],[1,0],[1]] => 7
[1,4,1,1] => [[1,1,1],[4]] => [[3,1,0,0],[3,0,0],[3,0],[3]] => [[3,1,0,0],[1,0,0],[1,0],[1]] => 7
[4,1,1,1] => [[1,1,1],[4]] => [[3,1,0,0],[3,0,0],[3,0],[3]] => [[3,1,0,0],[1,0,0],[1,0],[1]] => 7
[1,1,2,2] => [[1,1,2,2]] => [[4,0],[2]] => [[4,0],[2]] => 6
[1,2,1,2] => [[1,1,2],[2]] => [[3,1],[2]] => [[3,1],[2]] => 6
[1,2,2,1] => [[1,1,2],[2]] => [[3,1],[2]] => [[3,1],[2]] => 6
[2,1,1,2] => [[1,1,2],[2]] => [[3,1],[2]] => [[3,1],[2]] => 6
[2,1,2,1] => [[1,1],[2,2]] => [[2,2],[2]] => [[2,2],[2]] => 6
[2,2,1,1] => [[1,1],[2,2]] => [[2,2],[2]] => [[2,2],[2]] => 6
[1,1,2,3] => [[1,1,2,3]] => [[4,0,0],[3,0],[2]] => [[4,0,0],[2,0],[1]] => 7
[1,1,3,2] => [[1,1,2],[3]] => [[3,1,0],[3,0],[2]] => [[3,1,0],[1,1],[1]] => 7
[1,2,1,3] => [[1,1,3],[2]] => [[3,1,0],[2,1],[2]] => [[3,1,0],[2,0],[1]] => 7
[1,2,3,1] => [[1,1,3],[2]] => [[3,1,0],[2,1],[2]] => [[3,1,0],[2,0],[1]] => 7
[1,3,1,2] => [[1,1,2],[3]] => [[3,1,0],[3,0],[2]] => [[3,1,0],[1,1],[1]] => 7
[1,3,2,1] => [[1,1],[2],[3]] => [[2,1,1],[2,1],[2]] => [[2,1,1],[1,1],[1]] => 7
[2,1,1,3] => [[1,1,3],[2]] => [[3,1,0],[2,1],[2]] => [[3,1,0],[2,0],[1]] => 7
[2,1,3,1] => [[1,1],[2,3]] => [[2,2,0],[2,1],[2]] => [[2,2,0],[2,0],[1]] => 7
[2,3,1,1] => [[1,1],[2,3]] => [[2,2,0],[2,1],[2]] => [[2,2,0],[2,0],[1]] => 7
[3,1,1,2] => [[1,1,2],[3]] => [[3,1,0],[3,0],[2]] => [[3,1,0],[1,1],[1]] => 7
[3,1,2,1] => [[1,1],[2],[3]] => [[2,1,1],[2,1],[2]] => [[2,1,1],[1,1],[1]] => 7
[3,2,1,1] => [[1,1],[2],[3]] => [[2,1,1],[2,1],[2]] => [[2,1,1],[1,1],[1]] => 7
[1,1,2,4] => [[1,1,2,4]] => [[4,0,0,0],[3,0,0],[3,0],[2]] => [[4,0,0,0],[2,0,0],[1,0],[1]] => 8
[1,1,4,2] => [[1,1,2],[4]] => [[3,1,0,0],[3,0,0],[3,0],[2]] => [[3,1,0,0],[1,1,0],[1,0],[1]] => 8
[1,2,1,4] => [[1,1,4],[2]] => [[3,1,0,0],[2,1,0],[2,1],[2]] => [[3,1,0,0],[2,0,0],[1,0],[1]] => 8
[1,2,4,1] => [[1,1,4],[2]] => [[3,1,0,0],[2,1,0],[2,1],[2]] => [[3,1,0,0],[2,0,0],[1,0],[1]] => 8
[1,4,1,2] => [[1,1,2],[4]] => [[3,1,0,0],[3,0,0],[3,0],[2]] => [[3,1,0,0],[1,1,0],[1,0],[1]] => 8
[1,4,2,1] => [[1,1],[2],[4]] => [[2,1,1,0],[2,1,0],[2,1],[2]] => [[2,1,1,0],[1,1,0],[1,0],[1]] => 8
[2,1,1,4] => [[1,1,4],[2]] => [[3,1,0,0],[2,1,0],[2,1],[2]] => [[3,1,0,0],[2,0,0],[1,0],[1]] => 8
[2,1,4,1] => [[1,1],[2,4]] => [[2,2,0,0],[2,1,0],[2,1],[2]] => [[2,2,0,0],[2,0,0],[1,0],[1]] => 8
[2,4,1,1] => [[1,1],[2,4]] => [[2,2,0,0],[2,1,0],[2,1],[2]] => [[2,2,0,0],[2,0,0],[1,0],[1]] => 8
[4,1,1,2] => [[1,1,2],[4]] => [[3,1,0,0],[3,0,0],[3,0],[2]] => [[3,1,0,0],[1,1,0],[1,0],[1]] => 8
[4,1,2,1] => [[1,1],[2],[4]] => [[2,1,1,0],[2,1,0],[2,1],[2]] => [[2,1,1,0],[1,1,0],[1,0],[1]] => 8
[4,2,1,1] => [[1,1],[2],[4]] => [[2,1,1,0],[2,1,0],[2,1],[2]] => [[2,1,1,0],[1,1,0],[1,0],[1]] => 8
[1,1,3,3] => [[1,1,3,3]] => [[4,0,0],[2,0],[2]] => [[4,0,0],[2,0],[2]] => 8
[1,3,1,3] => [[1,1,3],[3]] => [[3,1,0],[2,0],[2]] => [[3,1,0],[2,0],[2]] => 8
[1,3,3,1] => [[1,1,3],[3]] => [[3,1,0],[2,0],[2]] => [[3,1,0],[2,0],[2]] => 8
[3,1,1,3] => [[1,1,3],[3]] => [[3,1,0],[2,0],[2]] => [[3,1,0],[2,0],[2]] => 8
[3,1,3,1] => [[1,1],[3,3]] => [[2,2,0],[2,0],[2]] => [[2,2,0],[2,0],[2]] => 8
[3,3,1,1] => [[1,1],[3,3]] => [[2,2,0],[2,0],[2]] => [[2,2,0],[2,0],[2]] => 8
[1,1,3,4] => [[1,1,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[2]] => [[4,0,0,0],[2,0,0],[2,0],[1]] => 9
[1,1,4,3] => [[1,1,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[2]] => [[3,1,0,0],[1,1,0],[1,1],[1]] => 9
[1,3,1,4] => [[1,1,4],[3]] => [[3,1,0,0],[2,1,0],[2,0],[2]] => [[3,1,0,0],[2,0,0],[2,0],[1]] => 9
[1,3,4,1] => [[1,1,4],[3]] => [[3,1,0,0],[2,1,0],[2,0],[2]] => [[3,1,0,0],[2,0,0],[2,0],[1]] => 9
[1,4,1,3] => [[1,1,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[2]] => [[3,1,0,0],[1,1,0],[1,1],[1]] => 9
[1,4,3,1] => [[1,1],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[2]] => [[2,1,1,0],[1,1,0],[1,1],[1]] => 9
[3,1,1,4] => [[1,1,4],[3]] => [[3,1,0,0],[2,1,0],[2,0],[2]] => [[3,1,0,0],[2,0,0],[2,0],[1]] => 9
[3,1,4,1] => [[1,1],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[2]] => [[2,2,0,0],[2,0,0],[2,0],[1]] => 9
[3,4,1,1] => [[1,1],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[2]] => [[2,2,0,0],[2,0,0],[2,0],[1]] => 9
[4,1,1,3] => [[1,1,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[2]] => [[3,1,0,0],[1,1,0],[1,1],[1]] => 9
[4,1,3,1] => [[1,1],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[2]] => [[2,1,1,0],[1,1,0],[1,1],[1]] => 9
[4,3,1,1] => [[1,1],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[2]] => [[2,1,1,0],[1,1,0],[1,1],[1]] => 9
[1,2,2,2] => [[1,2,2,2]] => [[4,0],[1]] => [[4,0],[3]] => 7
[2,1,2,2] => [[1,2,2],[2]] => [[3,1],[1]] => [[3,1],[3]] => 7
[2,2,1,2] => [[1,2,2],[2]] => [[3,1],[1]] => [[3,1],[3]] => 7
[2,2,2,1] => [[1,2,2],[2]] => [[3,1],[1]] => [[3,1],[3]] => 7
[1,2,2,3] => [[1,2,2,3]] => [[4,0,0],[3,0],[1]] => [[4,0,0],[3,0],[1]] => 8
[1,2,3,2] => [[1,2,2],[3]] => [[3,1,0],[3,0],[1]] => [[3,1,0],[2,1],[1]] => 8
[1,3,2,2] => [[1,2,2],[3]] => [[3,1,0],[3,0],[1]] => [[3,1,0],[2,1],[1]] => 8
[2,1,2,3] => [[1,2,3],[2]] => [[3,1,0],[2,1],[1]] => [[3,1,0],[3,0],[1]] => 8
[2,1,3,2] => [[1,2],[2,3]] => [[2,2,0],[2,1],[1]] => [[2,2,0],[2,1],[1]] => 8
[2,2,1,3] => [[1,2,3],[2]] => [[3,1,0],[2,1],[1]] => [[3,1,0],[3,0],[1]] => 8
[2,2,3,1] => [[1,2,3],[2]] => [[3,1,0],[2,1],[1]] => [[3,1,0],[3,0],[1]] => 8
[2,3,1,2] => [[1,2],[2,3]] => [[2,2,0],[2,1],[1]] => [[2,2,0],[2,1],[1]] => 8
[2,3,2,1] => [[1,2],[2],[3]] => [[2,1,1],[2,1],[1]] => [[2,1,1],[2,1],[1]] => 8
[3,1,2,2] => [[1,2,2],[3]] => [[3,1,0],[3,0],[1]] => [[3,1,0],[2,1],[1]] => 8
[3,2,1,2] => [[1,2],[2],[3]] => [[2,1,1],[2,1],[1]] => [[2,1,1],[2,1],[1]] => 8
[3,2,2,1] => [[1,2],[2],[3]] => [[2,1,1],[2,1],[1]] => [[2,1,1],[2,1],[1]] => 8
[1,2,2,4] => [[1,2,2,4]] => [[4,0,0,0],[3,0,0],[3,0],[1]] => [[4,0,0,0],[3,0,0],[1,0],[1]] => 9
[1,2,4,2] => [[1,2,2],[4]] => [[3,1,0,0],[3,0,0],[3,0],[1]] => [[3,1,0,0],[2,1,0],[1,0],[1]] => 9
[1,4,2,2] => [[1,2,2],[4]] => [[3,1,0,0],[3,0,0],[3,0],[1]] => [[3,1,0,0],[2,1,0],[1,0],[1]] => 9
[2,1,2,4] => [[1,2,4],[2]] => [[3,1,0,0],[2,1,0],[2,1],[1]] => [[3,1,0,0],[3,0,0],[1,0],[1]] => 9
>>> Load all 1877 entries. <<<[2,1,4,2] => [[1,2],[2,4]] => [[2,2,0,0],[2,1,0],[2,1],[1]] => [[2,2,0,0],[2,1,0],[1,0],[1]] => 9
[2,2,1,4] => [[1,2,4],[2]] => [[3,1,0,0],[2,1,0],[2,1],[1]] => [[3,1,0,0],[3,0,0],[1,0],[1]] => 9
[2,2,4,1] => [[1,2,4],[2]] => [[3,1,0,0],[2,1,0],[2,1],[1]] => [[3,1,0,0],[3,0,0],[1,0],[1]] => 9
[2,4,1,2] => [[1,2],[2,4]] => [[2,2,0,0],[2,1,0],[2,1],[1]] => [[2,2,0,0],[2,1,0],[1,0],[1]] => 9
[2,4,2,1] => [[1,2],[2],[4]] => [[2,1,1,0],[2,1,0],[2,1],[1]] => [[2,1,1,0],[2,1,0],[1,0],[1]] => 9
[4,1,2,2] => [[1,2,2],[4]] => [[3,1,0,0],[3,0,0],[3,0],[1]] => [[3,1,0,0],[2,1,0],[1,0],[1]] => 9
[4,2,1,2] => [[1,2],[2],[4]] => [[2,1,1,0],[2,1,0],[2,1],[1]] => [[2,1,1,0],[2,1,0],[1,0],[1]] => 9
[4,2,2,1] => [[1,2],[2],[4]] => [[2,1,1,0],[2,1,0],[2,1],[1]] => [[2,1,1,0],[2,1,0],[1,0],[1]] => 9
[1,2,3,3] => [[1,2,3,3]] => [[4,0,0],[2,0],[1]] => [[4,0,0],[3,0],[2]] => 9
[1,3,2,3] => [[1,2,3],[3]] => [[3,1,0],[2,0],[1]] => [[3,1,0],[2,1],[2]] => 9
[1,3,3,2] => [[1,2,3],[3]] => [[3,1,0],[2,0],[1]] => [[3,1,0],[2,1],[2]] => 9
[2,1,3,3] => [[1,3,3],[2]] => [[3,1,0],[1,1],[1]] => [[3,1,0],[3,0],[2]] => 9
[2,3,1,3] => [[1,3,3],[2]] => [[3,1,0],[1,1],[1]] => [[3,1,0],[3,0],[2]] => 9
[2,3,3,1] => [[1,3,3],[2]] => [[3,1,0],[1,1],[1]] => [[3,1,0],[3,0],[2]] => 9
[3,1,2,3] => [[1,2,3],[3]] => [[3,1,0],[2,0],[1]] => [[3,1,0],[2,1],[2]] => 9
[3,1,3,2] => [[1,2],[3,3]] => [[2,2,0],[2,0],[1]] => [[2,2,0],[2,1],[2]] => 9
[3,2,1,3] => [[1,3],[2],[3]] => [[2,1,1],[1,1],[1]] => [[2,1,1],[2,1],[2]] => 9
[3,2,3,1] => [[1,3],[2],[3]] => [[2,1,1],[1,1],[1]] => [[2,1,1],[2,1],[2]] => 9
[3,3,1,2] => [[1,2],[3,3]] => [[2,2,0],[2,0],[1]] => [[2,2,0],[2,1],[2]] => 9
[3,3,2,1] => [[1,3],[2],[3]] => [[2,1,1],[1,1],[1]] => [[2,1,1],[2,1],[2]] => 9
[1,2,3,4] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[1,2,4,3] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,1,0,0],[2,1,0],[1,1],[1]] => 10
[1,3,2,4] => [[1,2,4],[3]] => [[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,1,0,0],[2,1,0],[2,0],[1]] => 10
[1,3,4,2] => [[1,2,4],[3]] => [[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,1,0,0],[2,1,0],[2,0],[1]] => 10
[1,4,2,3] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,1,0,0],[2,1,0],[1,1],[1]] => 10
[1,4,3,2] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,1,1,0],[1,1,1],[1,1],[1]] => 10
[2,1,3,4] => [[1,3,4],[2]] => [[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 10
[2,1,4,3] => [[1,3],[2,4]] => [[2,2,0,0],[2,1,0],[1,1],[1]] => [[2,2,0,0],[2,1,0],[1,1],[1]] => 10
[2,3,1,4] => [[1,3,4],[2]] => [[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 10
[2,3,4,1] => [[1,3,4],[2]] => [[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => 10
[2,4,1,3] => [[1,3],[2,4]] => [[2,2,0,0],[2,1,0],[1,1],[1]] => [[2,2,0,0],[2,1,0],[1,1],[1]] => 10
[2,4,3,1] => [[1,3],[2],[4]] => [[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,1,1,0],[2,1,0],[1,1],[1]] => 10
[3,1,2,4] => [[1,2,4],[3]] => [[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,1,0,0],[2,1,0],[2,0],[1]] => 10
[3,1,4,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 10
[3,2,1,4] => [[1,4],[2],[3]] => [[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 10
[3,2,4,1] => [[1,4],[2],[3]] => [[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 10
[3,4,1,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => [[2,2,0,0],[2,1,0],[2,0],[1]] => 10
[3,4,2,1] => [[1,4],[2],[3]] => [[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => 10
[4,1,2,3] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,1,0,0],[2,1,0],[1,1],[1]] => 10
[4,1,3,2] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,1,1,0],[1,1,1],[1,1],[1]] => 10
[4,2,1,3] => [[1,3],[2],[4]] => [[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,1,1,0],[2,1,0],[1,1],[1]] => 10
[4,2,3,1] => [[1,3],[2],[4]] => [[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,1,1,0],[2,1,0],[1,1],[1]] => 10
[4,3,1,2] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,1,1,0],[1,1,1],[1,1],[1]] => 10
[4,3,2,1] => [[1],[2],[3],[4]] => [[1,1,1,1],[1,1,1],[1,1],[1]] => [[1,1,1,1],[1,1,1],[1,1],[1]] => 10
[1,1,1,1,1] => [[1,1,1,1,1]] => [[5]] => [[5]] => 5
[1,1,1,1,2] => [[1,1,1,1,2]] => [[5,0],[4]] => [[5,0],[1]] => 6
[1,1,1,2,1] => [[1,1,1,1],[2]] => [[4,1],[4]] => [[4,1],[1]] => 6
[1,1,2,1,1] => [[1,1,1,1],[2]] => [[4,1],[4]] => [[4,1],[1]] => 6
[1,2,1,1,1] => [[1,1,1,1],[2]] => [[4,1],[4]] => [[4,1],[1]] => 6
[2,1,1,1,1] => [[1,1,1,1],[2]] => [[4,1],[4]] => [[4,1],[1]] => 6
[1,1,1,1,3] => [[1,1,1,1,3]] => [[5,0,0],[4,0],[4]] => [[5,0,0],[1,0],[1]] => 7
[1,1,1,3,1] => [[1,1,1,1],[3]] => [[4,1,0],[4,0],[4]] => [[4,1,0],[1,0],[1]] => 7
[1,1,3,1,1] => [[1,1,1,1],[3]] => [[4,1,0],[4,0],[4]] => [[4,1,0],[1,0],[1]] => 7
[1,3,1,1,1] => [[1,1,1,1],[3]] => [[4,1,0],[4,0],[4]] => [[4,1,0],[1,0],[1]] => 7
[3,1,1,1,1] => [[1,1,1,1],[3]] => [[4,1,0],[4,0],[4]] => [[4,1,0],[1,0],[1]] => 7
[1,1,1,4,1] => [[1,1,1,1],[4]] => [[4,1,0,0],[4,0,0],[4,0],[4]] => [[4,1,0,0],[1,0,0],[1,0],[1]] => 8
[1,1,4,1,1] => [[1,1,1,1],[4]] => [[4,1,0,0],[4,0,0],[4,0],[4]] => [[4,1,0,0],[1,0,0],[1,0],[1]] => 8
[1,4,1,1,1] => [[1,1,1,1],[4]] => [[4,1,0,0],[4,0,0],[4,0],[4]] => [[4,1,0,0],[1,0,0],[1,0],[1]] => 8
[4,1,1,1,1] => [[1,1,1,1],[4]] => [[4,1,0,0],[4,0,0],[4,0],[4]] => [[4,1,0,0],[1,0,0],[1,0],[1]] => 8
[1,1,1,2,2] => [[1,1,1,2,2]] => [[5,0],[3]] => [[5,0],[2]] => 7
[1,1,2,1,2] => [[1,1,1,2],[2]] => [[4,1],[3]] => [[4,1],[2]] => 7
[1,1,2,2,1] => [[1,1,1,2],[2]] => [[4,1],[3]] => [[4,1],[2]] => 7
[1,2,1,1,2] => [[1,1,1,2],[2]] => [[4,1],[3]] => [[4,1],[2]] => 7
[1,2,1,2,1] => [[1,1,1],[2,2]] => [[3,2],[3]] => [[3,2],[2]] => 7
[1,2,2,1,1] => [[1,1,1],[2,2]] => [[3,2],[3]] => [[3,2],[2]] => 7
[2,1,1,1,2] => [[1,1,1,2],[2]] => [[4,1],[3]] => [[4,1],[2]] => 7
[2,1,1,2,1] => [[1,1,1],[2,2]] => [[3,2],[3]] => [[3,2],[2]] => 7
[2,1,2,1,1] => [[1,1,1],[2,2]] => [[3,2],[3]] => [[3,2],[2]] => 7
[2,2,1,1,1] => [[1,1,1],[2,2]] => [[3,2],[3]] => [[3,2],[2]] => 7
[1,1,1,2,3] => [[1,1,1,2,3]] => [[5,0,0],[4,0],[3]] => [[5,0,0],[2,0],[1]] => 8
[1,1,1,3,2] => [[1,1,1,2],[3]] => [[4,1,0],[4,0],[3]] => [[4,1,0],[1,1],[1]] => 8
[1,1,2,1,3] => [[1,1,1,3],[2]] => [[4,1,0],[3,1],[3]] => [[4,1,0],[2,0],[1]] => 8
[1,1,2,3,1] => [[1,1,1,3],[2]] => [[4,1,0],[3,1],[3]] => [[4,1,0],[2,0],[1]] => 8
[1,1,3,1,2] => [[1,1,1,2],[3]] => [[4,1,0],[4,0],[3]] => [[4,1,0],[1,1],[1]] => 8
[1,1,3,2,1] => [[1,1,1],[2],[3]] => [[3,1,1],[3,1],[3]] => [[3,1,1],[1,1],[1]] => 8
[1,2,1,1,3] => [[1,1,1,3],[2]] => [[4,1,0],[3,1],[3]] => [[4,1,0],[2,0],[1]] => 8
[1,2,1,3,1] => [[1,1,1],[2,3]] => [[3,2,0],[3,1],[3]] => [[3,2,0],[2,0],[1]] => 8
[1,2,3,1,1] => [[1,1,1],[2,3]] => [[3,2,0],[3,1],[3]] => [[3,2,0],[2,0],[1]] => 8
[1,3,1,1,2] => [[1,1,1,2],[3]] => [[4,1,0],[4,0],[3]] => [[4,1,0],[1,1],[1]] => 8
[1,3,1,2,1] => [[1,1,1],[2],[3]] => [[3,1,1],[3,1],[3]] => [[3,1,1],[1,1],[1]] => 8
[1,3,2,1,1] => [[1,1,1],[2],[3]] => [[3,1,1],[3,1],[3]] => [[3,1,1],[1,1],[1]] => 8
[2,1,1,1,3] => [[1,1,1,3],[2]] => [[4,1,0],[3,1],[3]] => [[4,1,0],[2,0],[1]] => 8
[2,1,1,3,1] => [[1,1,1],[2,3]] => [[3,2,0],[3,1],[3]] => [[3,2,0],[2,0],[1]] => 8
[2,1,3,1,1] => [[1,1,1],[2,3]] => [[3,2,0],[3,1],[3]] => [[3,2,0],[2,0],[1]] => 8
[2,3,1,1,1] => [[1,1,1],[2,3]] => [[3,2,0],[3,1],[3]] => [[3,2,0],[2,0],[1]] => 8
[3,1,1,1,2] => [[1,1,1,2],[3]] => [[4,1,0],[4,0],[3]] => [[4,1,0],[1,1],[1]] => 8
[3,1,1,2,1] => [[1,1,1],[2],[3]] => [[3,1,1],[3,1],[3]] => [[3,1,1],[1,1],[1]] => 8
[3,1,2,1,1] => [[1,1,1],[2],[3]] => [[3,1,1],[3,1],[3]] => [[3,1,1],[1,1],[1]] => 8
[3,2,1,1,1] => [[1,1,1],[2],[3]] => [[3,1,1],[3,1],[3]] => [[3,1,1],[1,1],[1]] => 8
[1,1,1,4,2] => [[1,1,1,2],[4]] => [[4,1,0,0],[4,0,0],[4,0],[3]] => [[4,1,0,0],[1,1,0],[1,0],[1]] => 9
[1,1,2,1,4] => [[1,1,1,4],[2]] => [[4,1,0,0],[3,1,0],[3,1],[3]] => [[4,1,0,0],[2,0,0],[1,0],[1]] => 9
[1,1,2,4,1] => [[1,1,1,4],[2]] => [[4,1,0,0],[3,1,0],[3,1],[3]] => [[4,1,0,0],[2,0,0],[1,0],[1]] => 9
[1,1,4,1,2] => [[1,1,1,2],[4]] => [[4,1,0,0],[4,0,0],[4,0],[3]] => [[4,1,0,0],[1,1,0],[1,0],[1]] => 9
[1,1,4,2,1] => [[1,1,1],[2],[4]] => [[3,1,1,0],[3,1,0],[3,1],[3]] => [[3,1,1,0],[1,1,0],[1,0],[1]] => 9
[1,2,1,1,4] => [[1,1,1,4],[2]] => [[4,1,0,0],[3,1,0],[3,1],[3]] => [[4,1,0,0],[2,0,0],[1,0],[1]] => 9
[1,2,1,4,1] => [[1,1,1],[2,4]] => [[3,2,0,0],[3,1,0],[3,1],[3]] => [[3,2,0,0],[2,0,0],[1,0],[1]] => 9
[1,2,4,1,1] => [[1,1,1],[2,4]] => [[3,2,0,0],[3,1,0],[3,1],[3]] => [[3,2,0,0],[2,0,0],[1,0],[1]] => 9
[1,4,1,1,2] => [[1,1,1,2],[4]] => [[4,1,0,0],[4,0,0],[4,0],[3]] => [[4,1,0,0],[1,1,0],[1,0],[1]] => 9
[1,4,1,2,1] => [[1,1,1],[2],[4]] => [[3,1,1,0],[3,1,0],[3,1],[3]] => [[3,1,1,0],[1,1,0],[1,0],[1]] => 9
[1,4,2,1,1] => [[1,1,1],[2],[4]] => [[3,1,1,0],[3,1,0],[3,1],[3]] => [[3,1,1,0],[1,1,0],[1,0],[1]] => 9
[2,1,1,1,4] => [[1,1,1,4],[2]] => [[4,1,0,0],[3,1,0],[3,1],[3]] => [[4,1,0,0],[2,0,0],[1,0],[1]] => 9
[2,1,1,4,1] => [[1,1,1],[2,4]] => [[3,2,0,0],[3,1,0],[3,1],[3]] => [[3,2,0,0],[2,0,0],[1,0],[1]] => 9
[2,1,4,1,1] => [[1,1,1],[2,4]] => [[3,2,0,0],[3,1,0],[3,1],[3]] => [[3,2,0,0],[2,0,0],[1,0],[1]] => 9
[2,4,1,1,1] => [[1,1,1],[2,4]] => [[3,2,0,0],[3,1,0],[3,1],[3]] => [[3,2,0,0],[2,0,0],[1,0],[1]] => 9
[4,1,1,1,2] => [[1,1,1,2],[4]] => [[4,1,0,0],[4,0,0],[4,0],[3]] => [[4,1,0,0],[1,1,0],[1,0],[1]] => 9
[4,1,1,2,1] => [[1,1,1],[2],[4]] => [[3,1,1,0],[3,1,0],[3,1],[3]] => [[3,1,1,0],[1,1,0],[1,0],[1]] => 9
[4,1,2,1,1] => [[1,1,1],[2],[4]] => [[3,1,1,0],[3,1,0],[3,1],[3]] => [[3,1,1,0],[1,1,0],[1,0],[1]] => 9
[4,2,1,1,1] => [[1,1,1],[2],[4]] => [[3,1,1,0],[3,1,0],[3,1],[3]] => [[3,1,1,0],[1,1,0],[1,0],[1]] => 9
[1,1,1,3,3] => [[1,1,1,3,3]] => [[5,0,0],[3,0],[3]] => [[5,0,0],[2,0],[2]] => 9
[1,1,3,1,3] => [[1,1,1,3],[3]] => [[4,1,0],[3,0],[3]] => [[4,1,0],[2,0],[2]] => 9
[1,1,3,3,1] => [[1,1,1,3],[3]] => [[4,1,0],[3,0],[3]] => [[4,1,0],[2,0],[2]] => 9
[1,3,1,1,3] => [[1,1,1,3],[3]] => [[4,1,0],[3,0],[3]] => [[4,1,0],[2,0],[2]] => 9
[1,3,1,3,1] => [[1,1,1],[3,3]] => [[3,2,0],[3,0],[3]] => [[3,2,0],[2,0],[2]] => 9
[1,3,3,1,1] => [[1,1,1],[3,3]] => [[3,2,0],[3,0],[3]] => [[3,2,0],[2,0],[2]] => 9
[3,1,1,1,3] => [[1,1,1,3],[3]] => [[4,1,0],[3,0],[3]] => [[4,1,0],[2,0],[2]] => 9
[3,1,1,3,1] => [[1,1,1],[3,3]] => [[3,2,0],[3,0],[3]] => [[3,2,0],[2,0],[2]] => 9
[3,1,3,1,1] => [[1,1,1],[3,3]] => [[3,2,0],[3,0],[3]] => [[3,2,0],[2,0],[2]] => 9
[3,3,1,1,1] => [[1,1,1],[3,3]] => [[3,2,0],[3,0],[3]] => [[3,2,0],[2,0],[2]] => 9
[1,1,1,4,3] => [[1,1,1,3],[4]] => [[4,1,0,0],[4,0,0],[3,0],[3]] => [[4,1,0,0],[1,1,0],[1,1],[1]] => 10
[1,1,3,1,4] => [[1,1,1,4],[3]] => [[4,1,0,0],[3,1,0],[3,0],[3]] => [[4,1,0,0],[2,0,0],[2,0],[1]] => 10
[1,1,3,4,1] => [[1,1,1,4],[3]] => [[4,1,0,0],[3,1,0],[3,0],[3]] => [[4,1,0,0],[2,0,0],[2,0],[1]] => 10
[1,1,4,1,3] => [[1,1,1,3],[4]] => [[4,1,0,0],[4,0,0],[3,0],[3]] => [[4,1,0,0],[1,1,0],[1,1],[1]] => 10
[1,1,4,3,1] => [[1,1,1],[3],[4]] => [[3,1,1,0],[3,1,0],[3,0],[3]] => [[3,1,1,0],[1,1,0],[1,1],[1]] => 10
[1,3,1,1,4] => [[1,1,1,4],[3]] => [[4,1,0,0],[3,1,0],[3,0],[3]] => [[4,1,0,0],[2,0,0],[2,0],[1]] => 10
[1,3,1,4,1] => [[1,1,1],[3,4]] => [[3,2,0,0],[3,1,0],[3,0],[3]] => [[3,2,0,0],[2,0,0],[2,0],[1]] => 10
[1,3,4,1,1] => [[1,1,1],[3,4]] => [[3,2,0,0],[3,1,0],[3,0],[3]] => [[3,2,0,0],[2,0,0],[2,0],[1]] => 10
[1,4,1,1,3] => [[1,1,1,3],[4]] => [[4,1,0,0],[4,0,0],[3,0],[3]] => [[4,1,0,0],[1,1,0],[1,1],[1]] => 10
[1,4,1,3,1] => [[1,1,1],[3],[4]] => [[3,1,1,0],[3,1,0],[3,0],[3]] => [[3,1,1,0],[1,1,0],[1,1],[1]] => 10
[1,4,3,1,1] => [[1,1,1],[3],[4]] => [[3,1,1,0],[3,1,0],[3,0],[3]] => [[3,1,1,0],[1,1,0],[1,1],[1]] => 10
[3,1,1,1,4] => [[1,1,1,4],[3]] => [[4,1,0,0],[3,1,0],[3,0],[3]] => [[4,1,0,0],[2,0,0],[2,0],[1]] => 10
[3,1,1,4,1] => [[1,1,1],[3,4]] => [[3,2,0,0],[3,1,0],[3,0],[3]] => [[3,2,0,0],[2,0,0],[2,0],[1]] => 10
[3,1,4,1,1] => [[1,1,1],[3,4]] => [[3,2,0,0],[3,1,0],[3,0],[3]] => [[3,2,0,0],[2,0,0],[2,0],[1]] => 10
[3,4,1,1,1] => [[1,1,1],[3,4]] => [[3,2,0,0],[3,1,0],[3,0],[3]] => [[3,2,0,0],[2,0,0],[2,0],[1]] => 10
[4,1,1,1,3] => [[1,1,1,3],[4]] => [[4,1,0,0],[4,0,0],[3,0],[3]] => [[4,1,0,0],[1,1,0],[1,1],[1]] => 10
[4,1,1,3,1] => [[1,1,1],[3],[4]] => [[3,1,1,0],[3,1,0],[3,0],[3]] => [[3,1,1,0],[1,1,0],[1,1],[1]] => 10
[4,1,3,1,1] => [[1,1,1],[3],[4]] => [[3,1,1,0],[3,1,0],[3,0],[3]] => [[3,1,1,0],[1,1,0],[1,1],[1]] => 10
[4,3,1,1,1] => [[1,1,1],[3],[4]] => [[3,1,1,0],[3,1,0],[3,0],[3]] => [[3,1,1,0],[1,1,0],[1,1],[1]] => 10
[1,1,4,1,4] => [[1,1,1,4],[4]] => [[4,1,0,0],[3,0,0],[3,0],[3]] => [[4,1,0,0],[2,0,0],[2,0],[2]] => 11
[1,1,4,4,1] => [[1,1,1,4],[4]] => [[4,1,0,0],[3,0,0],[3,0],[3]] => [[4,1,0,0],[2,0,0],[2,0],[2]] => 11
[1,4,1,1,4] => [[1,1,1,4],[4]] => [[4,1,0,0],[3,0,0],[3,0],[3]] => [[4,1,0,0],[2,0,0],[2,0],[2]] => 11
[1,4,1,4,1] => [[1,1,1],[4,4]] => [[3,2,0,0],[3,0,0],[3,0],[3]] => [[3,2,0,0],[2,0,0],[2,0],[2]] => 11
[1,4,4,1,1] => [[1,1,1],[4,4]] => [[3,2,0,0],[3,0,0],[3,0],[3]] => [[3,2,0,0],[2,0,0],[2,0],[2]] => 11
[4,1,1,1,4] => [[1,1,1,4],[4]] => [[4,1,0,0],[3,0,0],[3,0],[3]] => [[4,1,0,0],[2,0,0],[2,0],[2]] => 11
[4,1,1,4,1] => [[1,1,1],[4,4]] => [[3,2,0,0],[3,0,0],[3,0],[3]] => [[3,2,0,0],[2,0,0],[2,0],[2]] => 11
[4,1,4,1,1] => [[1,1,1],[4,4]] => [[3,2,0,0],[3,0,0],[3,0],[3]] => [[3,2,0,0],[2,0,0],[2,0],[2]] => 11
[4,4,1,1,1] => [[1,1,1],[4,4]] => [[3,2,0,0],[3,0,0],[3,0],[3]] => [[3,2,0,0],[2,0,0],[2,0],[2]] => 11
[1,1,2,2,2] => [[1,1,2,2,2]] => [[5,0],[2]] => [[5,0],[3]] => 8
[1,2,1,2,2] => [[1,1,2,2],[2]] => [[4,1],[2]] => [[4,1],[3]] => 8
[1,2,2,1,2] => [[1,1,2,2],[2]] => [[4,1],[2]] => [[4,1],[3]] => 8
[1,2,2,2,1] => [[1,1,2,2],[2]] => [[4,1],[2]] => [[4,1],[3]] => 8
[2,1,1,2,2] => [[1,1,2,2],[2]] => [[4,1],[2]] => [[4,1],[3]] => 8
[2,1,2,1,2] => [[1,1,2],[2,2]] => [[3,2],[2]] => [[3,2],[3]] => 8
[2,1,2,2,1] => [[1,1,2],[2,2]] => [[3,2],[2]] => [[3,2],[3]] => 8
[2,2,1,1,2] => [[1,1,2],[2,2]] => [[3,2],[2]] => [[3,2],[3]] => 8
[2,2,1,2,1] => [[1,1,2],[2,2]] => [[3,2],[2]] => [[3,2],[3]] => 8
[2,2,2,1,1] => [[1,1,2],[2,2]] => [[3,2],[2]] => [[3,2],[3]] => 8
[1,1,2,2,3] => [[1,1,2,2,3]] => [[5,0,0],[4,0],[2]] => [[5,0,0],[3,0],[1]] => 9
[1,1,2,3,2] => [[1,1,2,2],[3]] => [[4,1,0],[4,0],[2]] => [[4,1,0],[2,1],[1]] => 9
[1,1,3,2,2] => [[1,1,2,2],[3]] => [[4,1,0],[4,0],[2]] => [[4,1,0],[2,1],[1]] => 9
[1,2,1,2,3] => [[1,1,2,3],[2]] => [[4,1,0],[3,1],[2]] => [[4,1,0],[3,0],[1]] => 9
[1,2,1,3,2] => [[1,1,2],[2,3]] => [[3,2,0],[3,1],[2]] => [[3,2,0],[2,1],[1]] => 9
[1,2,2,1,3] => [[1,1,2,3],[2]] => [[4,1,0],[3,1],[2]] => [[4,1,0],[3,0],[1]] => 9
[1,2,2,3,1] => [[1,1,2,3],[2]] => [[4,1,0],[3,1],[2]] => [[4,1,0],[3,0],[1]] => 9
[1,2,3,1,2] => [[1,1,2],[2,3]] => [[3,2,0],[3,1],[2]] => [[3,2,0],[2,1],[1]] => 9
[1,2,3,2,1] => [[1,1,2],[2],[3]] => [[3,1,1],[3,1],[2]] => [[3,1,1],[2,1],[1]] => 9
[1,3,1,2,2] => [[1,1,2,2],[3]] => [[4,1,0],[4,0],[2]] => [[4,1,0],[2,1],[1]] => 9
[1,3,2,1,2] => [[1,1,2],[2],[3]] => [[3,1,1],[3,1],[2]] => [[3,1,1],[2,1],[1]] => 9
[1,3,2,2,1] => [[1,1,2],[2],[3]] => [[3,1,1],[3,1],[2]] => [[3,1,1],[2,1],[1]] => 9
[2,1,1,2,3] => [[1,1,2,3],[2]] => [[4,1,0],[3,1],[2]] => [[4,1,0],[3,0],[1]] => 9
[2,1,1,3,2] => [[1,1,2],[2,3]] => [[3,2,0],[3,1],[2]] => [[3,2,0],[2,1],[1]] => 9
[2,1,2,1,3] => [[1,1,3],[2,2]] => [[3,2,0],[2,2],[2]] => [[3,2,0],[3,0],[1]] => 9
[2,1,2,3,1] => [[1,1,3],[2,2]] => [[3,2,0],[2,2],[2]] => [[3,2,0],[3,0],[1]] => 9
[2,1,3,1,2] => [[1,1,2],[2,3]] => [[3,2,0],[3,1],[2]] => [[3,2,0],[2,1],[1]] => 9
[2,1,3,2,1] => [[1,1],[2,2],[3]] => [[2,2,1],[2,2],[2]] => [[2,2,1],[2,1],[1]] => 9
[2,2,1,1,3] => [[1,1,3],[2,2]] => [[3,2,0],[2,2],[2]] => [[3,2,0],[3,0],[1]] => 9
[2,2,1,3,1] => [[1,1,3],[2,2]] => [[3,2,0],[2,2],[2]] => [[3,2,0],[3,0],[1]] => 9
[2,2,3,1,1] => [[1,1,3],[2,2]] => [[3,2,0],[2,2],[2]] => [[3,2,0],[3,0],[1]] => 9
[2,3,1,1,2] => [[1,1,2],[2,3]] => [[3,2,0],[3,1],[2]] => [[3,2,0],[2,1],[1]] => 9
[2,3,1,2,1] => [[1,1],[2,2],[3]] => [[2,2,1],[2,2],[2]] => [[2,2,1],[2,1],[1]] => 9
[2,3,2,1,1] => [[1,1],[2,2],[3]] => [[2,2,1],[2,2],[2]] => [[2,2,1],[2,1],[1]] => 9
[3,1,1,2,2] => [[1,1,2,2],[3]] => [[4,1,0],[4,0],[2]] => [[4,1,0],[2,1],[1]] => 9
[3,1,2,1,2] => [[1,1,2],[2],[3]] => [[3,1,1],[3,1],[2]] => [[3,1,1],[2,1],[1]] => 9
[3,1,2,2,1] => [[1,1,2],[2],[3]] => [[3,1,1],[3,1],[2]] => [[3,1,1],[2,1],[1]] => 9
[3,2,1,1,2] => [[1,1,2],[2],[3]] => [[3,1,1],[3,1],[2]] => [[3,1,1],[2,1],[1]] => 9
[3,2,1,2,1] => [[1,1],[2,2],[3]] => [[2,2,1],[2,2],[2]] => [[2,2,1],[2,1],[1]] => 9
[3,2,2,1,1] => [[1,1],[2,2],[3]] => [[2,2,1],[2,2],[2]] => [[2,2,1],[2,1],[1]] => 9
[1,1,2,4,2] => [[1,1,2,2],[4]] => [[4,1,0,0],[4,0,0],[4,0],[2]] => [[4,1,0,0],[2,1,0],[1,0],[1]] => 10
[1,1,4,2,2] => [[1,1,2,2],[4]] => [[4,1,0,0],[4,0,0],[4,0],[2]] => [[4,1,0,0],[2,1,0],[1,0],[1]] => 10
[1,2,1,2,4] => [[1,1,2,4],[2]] => [[4,1,0,0],[3,1,0],[3,1],[2]] => [[4,1,0,0],[3,0,0],[1,0],[1]] => 10
[1,2,1,4,2] => [[1,1,2],[2,4]] => [[3,2,0,0],[3,1,0],[3,1],[2]] => [[3,2,0,0],[2,1,0],[1,0],[1]] => 10
[1,2,2,1,4] => [[1,1,2,4],[2]] => [[4,1,0,0],[3,1,0],[3,1],[2]] => [[4,1,0,0],[3,0,0],[1,0],[1]] => 10
[1,2,2,4,1] => [[1,1,2,4],[2]] => [[4,1,0,0],[3,1,0],[3,1],[2]] => [[4,1,0,0],[3,0,0],[1,0],[1]] => 10
[1,2,4,1,2] => [[1,1,2],[2,4]] => [[3,2,0,0],[3,1,0],[3,1],[2]] => [[3,2,0,0],[2,1,0],[1,0],[1]] => 10
[1,2,4,2,1] => [[1,1,2],[2],[4]] => [[3,1,1,0],[3,1,0],[3,1],[2]] => [[3,1,1,0],[2,1,0],[1,0],[1]] => 10
[1,4,1,2,2] => [[1,1,2,2],[4]] => [[4,1,0,0],[4,0,0],[4,0],[2]] => [[4,1,0,0],[2,1,0],[1,0],[1]] => 10
[1,4,2,1,2] => [[1,1,2],[2],[4]] => [[3,1,1,0],[3,1,0],[3,1],[2]] => [[3,1,1,0],[2,1,0],[1,0],[1]] => 10
[1,4,2,2,1] => [[1,1,2],[2],[4]] => [[3,1,1,0],[3,1,0],[3,1],[2]] => [[3,1,1,0],[2,1,0],[1,0],[1]] => 10
[2,1,1,2,4] => [[1,1,2,4],[2]] => [[4,1,0,0],[3,1,0],[3,1],[2]] => [[4,1,0,0],[3,0,0],[1,0],[1]] => 10
[2,1,1,4,2] => [[1,1,2],[2,4]] => [[3,2,0,0],[3,1,0],[3,1],[2]] => [[3,2,0,0],[2,1,0],[1,0],[1]] => 10
[2,1,2,1,4] => [[1,1,4],[2,2]] => [[3,2,0,0],[2,2,0],[2,2],[2]] => [[3,2,0,0],[3,0,0],[1,0],[1]] => 10
[2,1,2,4,1] => [[1,1,4],[2,2]] => [[3,2,0,0],[2,2,0],[2,2],[2]] => [[3,2,0,0],[3,0,0],[1,0],[1]] => 10
[2,1,4,1,2] => [[1,1,2],[2,4]] => [[3,2,0,0],[3,1,0],[3,1],[2]] => [[3,2,0,0],[2,1,0],[1,0],[1]] => 10
[2,1,4,2,1] => [[1,1],[2,2],[4]] => [[2,2,1,0],[2,2,0],[2,2],[2]] => [[2,2,1,0],[2,1,0],[1,0],[1]] => 10
[2,2,1,1,4] => [[1,1,4],[2,2]] => [[3,2,0,0],[2,2,0],[2,2],[2]] => [[3,2,0,0],[3,0,0],[1,0],[1]] => 10
[2,2,1,4,1] => [[1,1,4],[2,2]] => [[3,2,0,0],[2,2,0],[2,2],[2]] => [[3,2,0,0],[3,0,0],[1,0],[1]] => 10
[2,2,4,1,1] => [[1,1,4],[2,2]] => [[3,2,0,0],[2,2,0],[2,2],[2]] => [[3,2,0,0],[3,0,0],[1,0],[1]] => 10
[2,4,1,1,2] => [[1,1,2],[2,4]] => [[3,2,0,0],[3,1,0],[3,1],[2]] => [[3,2,0,0],[2,1,0],[1,0],[1]] => 10
[2,4,1,2,1] => [[1,1],[2,2],[4]] => [[2,2,1,0],[2,2,0],[2,2],[2]] => [[2,2,1,0],[2,1,0],[1,0],[1]] => 10
[2,4,2,1,1] => [[1,1],[2,2],[4]] => [[2,2,1,0],[2,2,0],[2,2],[2]] => [[2,2,1,0],[2,1,0],[1,0],[1]] => 10
[4,1,1,2,2] => [[1,1,2,2],[4]] => [[4,1,0,0],[4,0,0],[4,0],[2]] => [[4,1,0,0],[2,1,0],[1,0],[1]] => 10
[4,1,2,1,2] => [[1,1,2],[2],[4]] => [[3,1,1,0],[3,1,0],[3,1],[2]] => [[3,1,1,0],[2,1,0],[1,0],[1]] => 10
[4,1,2,2,1] => [[1,1,2],[2],[4]] => [[3,1,1,0],[3,1,0],[3,1],[2]] => [[3,1,1,0],[2,1,0],[1,0],[1]] => 10
[4,2,1,1,2] => [[1,1,2],[2],[4]] => [[3,1,1,0],[3,1,0],[3,1],[2]] => [[3,1,1,0],[2,1,0],[1,0],[1]] => 10
[4,2,1,2,1] => [[1,1],[2,2],[4]] => [[2,2,1,0],[2,2,0],[2,2],[2]] => [[2,2,1,0],[2,1,0],[1,0],[1]] => 10
[4,2,2,1,1] => [[1,1],[2,2],[4]] => [[2,2,1,0],[2,2,0],[2,2],[2]] => [[2,2,1,0],[2,1,0],[1,0],[1]] => 10
[1,1,2,3,3] => [[1,1,2,3,3]] => [[5,0,0],[3,0],[2]] => [[5,0,0],[3,0],[2]] => 10
[1,1,3,2,3] => [[1,1,2,3],[3]] => [[4,1,0],[3,0],[2]] => [[4,1,0],[2,1],[2]] => 10
[1,1,3,3,2] => [[1,1,2,3],[3]] => [[4,1,0],[3,0],[2]] => [[4,1,0],[2,1],[2]] => 10
[1,2,1,3,3] => [[1,1,3,3],[2]] => [[4,1,0],[2,1],[2]] => [[4,1,0],[3,0],[2]] => 10
[1,2,3,1,3] => [[1,1,3,3],[2]] => [[4,1,0],[2,1],[2]] => [[4,1,0],[3,0],[2]] => 10
[1,2,3,3,1] => [[1,1,3,3],[2]] => [[4,1,0],[2,1],[2]] => [[4,1,0],[3,0],[2]] => 10
[1,3,1,2,3] => [[1,1,2,3],[3]] => [[4,1,0],[3,0],[2]] => [[4,1,0],[2,1],[2]] => 10
[1,3,1,3,2] => [[1,1,2],[3,3]] => [[3,2,0],[3,0],[2]] => [[3,2,0],[2,1],[2]] => 10
[1,3,2,1,3] => [[1,1,3],[2],[3]] => [[3,1,1],[2,1],[2]] => [[3,1,1],[2,1],[2]] => 10
[1,3,2,3,1] => [[1,1,3],[2],[3]] => [[3,1,1],[2,1],[2]] => [[3,1,1],[2,1],[2]] => 10
[1,3,3,1,2] => [[1,1,2],[3,3]] => [[3,2,0],[3,0],[2]] => [[3,2,0],[2,1],[2]] => 10
[1,3,3,2,1] => [[1,1,3],[2],[3]] => [[3,1,1],[2,1],[2]] => [[3,1,1],[2,1],[2]] => 10
[2,1,1,3,3] => [[1,1,3,3],[2]] => [[4,1,0],[2,1],[2]] => [[4,1,0],[3,0],[2]] => 10
[2,1,3,1,3] => [[1,1,3],[2,3]] => [[3,2,0],[2,1],[2]] => [[3,2,0],[3,0],[2]] => 10
[2,1,3,3,1] => [[1,1,3],[2,3]] => [[3,2,0],[2,1],[2]] => [[3,2,0],[3,0],[2]] => 10
[2,3,1,1,3] => [[1,1,3],[2,3]] => [[3,2,0],[2,1],[2]] => [[3,2,0],[3,0],[2]] => 10
[2,3,1,3,1] => [[1,1,3],[2,3]] => [[3,2,0],[2,1],[2]] => [[3,2,0],[3,0],[2]] => 10
[2,3,3,1,1] => [[1,1,3],[2,3]] => [[3,2,0],[2,1],[2]] => [[3,2,0],[3,0],[2]] => 10
[3,1,1,2,3] => [[1,1,2,3],[3]] => [[4,1,0],[3,0],[2]] => [[4,1,0],[2,1],[2]] => 10
[3,1,1,3,2] => [[1,1,2],[3,3]] => [[3,2,0],[3,0],[2]] => [[3,2,0],[2,1],[2]] => 10
[3,1,2,1,3] => [[1,1,3],[2],[3]] => [[3,1,1],[2,1],[2]] => [[3,1,1],[2,1],[2]] => 10
[3,1,2,3,1] => [[1,1,3],[2],[3]] => [[3,1,1],[2,1],[2]] => [[3,1,1],[2,1],[2]] => 10
[3,1,3,1,2] => [[1,1,2],[3,3]] => [[3,2,0],[3,0],[2]] => [[3,2,0],[2,1],[2]] => 10
[3,1,3,2,1] => [[1,1],[2,3],[3]] => [[2,2,1],[2,1],[2]] => [[2,2,1],[2,1],[2]] => 10
[3,2,1,1,3] => [[1,1,3],[2],[3]] => [[3,1,1],[2,1],[2]] => [[3,1,1],[2,1],[2]] => 10
[3,2,1,3,1] => [[1,1],[2,3],[3]] => [[2,2,1],[2,1],[2]] => [[2,2,1],[2,1],[2]] => 10
[3,2,3,1,1] => [[1,1],[2,3],[3]] => [[2,2,1],[2,1],[2]] => [[2,2,1],[2,1],[2]] => 10
[3,3,1,1,2] => [[1,1,2],[3,3]] => [[3,2,0],[3,0],[2]] => [[3,2,0],[2,1],[2]] => 10
[3,3,1,2,1] => [[1,1],[2,3],[3]] => [[2,2,1],[2,1],[2]] => [[2,2,1],[2,1],[2]] => 10
[3,3,2,1,1] => [[1,1],[2,3],[3]] => [[2,2,1],[2,1],[2]] => [[2,2,1],[2,1],[2]] => 10
[1,1,2,4,3] => [[1,1,2,3],[4]] => [[4,1,0,0],[4,0,0],[3,0],[2]] => [[4,1,0,0],[2,1,0],[1,1],[1]] => 11
[1,1,3,2,4] => [[1,1,2,4],[3]] => [[4,1,0,0],[3,1,0],[3,0],[2]] => [[4,1,0,0],[2,1,0],[2,0],[1]] => 11
[1,1,3,4,2] => [[1,1,2,4],[3]] => [[4,1,0,0],[3,1,0],[3,0],[2]] => [[4,1,0,0],[2,1,0],[2,0],[1]] => 11
[1,1,4,2,3] => [[1,1,2,3],[4]] => [[4,1,0,0],[4,0,0],[3,0],[2]] => [[4,1,0,0],[2,1,0],[1,1],[1]] => 11
[1,1,4,3,2] => [[1,1,2],[3],[4]] => [[3,1,1,0],[3,1,0],[3,0],[2]] => [[3,1,1,0],[1,1,1],[1,1],[1]] => 11
[1,2,1,3,4] => [[1,1,3,4],[2]] => [[4,1,0,0],[3,1,0],[2,1],[2]] => [[4,1,0,0],[3,0,0],[2,0],[1]] => 11
[1,2,1,4,3] => [[1,1,3],[2,4]] => [[3,2,0,0],[3,1,0],[2,1],[2]] => [[3,2,0,0],[2,1,0],[1,1],[1]] => 11
[1,2,3,1,4] => [[1,1,3,4],[2]] => [[4,1,0,0],[3,1,0],[2,1],[2]] => [[4,1,0,0],[3,0,0],[2,0],[1]] => 11
[1,2,3,4,1] => [[1,1,3,4],[2]] => [[4,1,0,0],[3,1,0],[2,1],[2]] => [[4,1,0,0],[3,0,0],[2,0],[1]] => 11
[1,2,4,1,3] => [[1,1,3],[2,4]] => [[3,2,0,0],[3,1,0],[2,1],[2]] => [[3,2,0,0],[2,1,0],[1,1],[1]] => 11
[1,2,4,3,1] => [[1,1,3],[2],[4]] => [[3,1,1,0],[3,1,0],[2,1],[2]] => [[3,1,1,0],[2,1,0],[1,1],[1]] => 11
[1,3,1,2,4] => [[1,1,2,4],[3]] => [[4,1,0,0],[3,1,0],[3,0],[2]] => [[4,1,0,0],[2,1,0],[2,0],[1]] => 11
[1,3,1,4,2] => [[1,1,2],[3,4]] => [[3,2,0,0],[3,1,0],[3,0],[2]] => [[3,2,0,0],[2,1,0],[2,0],[1]] => 11
[1,3,2,1,4] => [[1,1,4],[2],[3]] => [[3,1,1,0],[2,1,1],[2,1],[2]] => [[3,1,1,0],[2,1,0],[2,0],[1]] => 11
[1,3,2,4,1] => [[1,1,4],[2],[3]] => [[3,1,1,0],[2,1,1],[2,1],[2]] => [[3,1,1,0],[2,1,0],[2,0],[1]] => 11
[1,3,4,1,2] => [[1,1,2],[3,4]] => [[3,2,0,0],[3,1,0],[3,0],[2]] => [[3,2,0,0],[2,1,0],[2,0],[1]] => 11
[1,3,4,2,1] => [[1,1,4],[2],[3]] => [[3,1,1,0],[2,1,1],[2,1],[2]] => [[3,1,1,0],[2,1,0],[2,0],[1]] => 11
[1,4,1,2,3] => [[1,1,2,3],[4]] => [[4,1,0,0],[4,0,0],[3,0],[2]] => [[4,1,0,0],[2,1,0],[1,1],[1]] => 11
[1,4,1,3,2] => [[1,1,2],[3],[4]] => [[3,1,1,0],[3,1,0],[3,0],[2]] => [[3,1,1,0],[1,1,1],[1,1],[1]] => 11
[1,4,2,1,3] => [[1,1,3],[2],[4]] => [[3,1,1,0],[3,1,0],[2,1],[2]] => [[3,1,1,0],[2,1,0],[1,1],[1]] => 11
[1,4,2,3,1] => [[1,1,3],[2],[4]] => [[3,1,1,0],[3,1,0],[2,1],[2]] => [[3,1,1,0],[2,1,0],[1,1],[1]] => 11
[1,4,3,1,2] => [[1,1,2],[3],[4]] => [[3,1,1,0],[3,1,0],[3,0],[2]] => [[3,1,1,0],[1,1,1],[1,1],[1]] => 11
[1,4,3,2,1] => [[1,1],[2],[3],[4]] => [[2,1,1,1],[2,1,1],[2,1],[2]] => [[2,1,1,1],[1,1,1],[1,1],[1]] => 11
[2,1,1,3,4] => [[1,1,3,4],[2]] => [[4,1,0,0],[3,1,0],[2,1],[2]] => [[4,1,0,0],[3,0,0],[2,0],[1]] => 11
[2,1,1,4,3] => [[1,1,3],[2,4]] => [[3,2,0,0],[3,1,0],[2,1],[2]] => [[3,2,0,0],[2,1,0],[1,1],[1]] => 11
[2,1,3,1,4] => [[1,1,4],[2,3]] => [[3,2,0,0],[2,2,0],[2,1],[2]] => [[3,2,0,0],[3,0,0],[2,0],[1]] => 11
[2,1,3,4,1] => [[1,1,4],[2,3]] => [[3,2,0,0],[2,2,0],[2,1],[2]] => [[3,2,0,0],[3,0,0],[2,0],[1]] => 11
[2,1,4,1,3] => [[1,1,3],[2,4]] => [[3,2,0,0],[3,1,0],[2,1],[2]] => [[3,2,0,0],[2,1,0],[1,1],[1]] => 11
[2,1,4,3,1] => [[1,1],[2,3],[4]] => [[2,2,1,0],[2,2,0],[2,1],[2]] => [[2,2,1,0],[2,1,0],[1,1],[1]] => 11
[2,3,1,1,4] => [[1,1,4],[2,3]] => [[3,2,0,0],[2,2,0],[2,1],[2]] => [[3,2,0,0],[3,0,0],[2,0],[1]] => 11
[2,3,1,4,1] => [[1,1,4],[2,3]] => [[3,2,0,0],[2,2,0],[2,1],[2]] => [[3,2,0,0],[3,0,0],[2,0],[1]] => 11
[2,3,4,1,1] => [[1,1,4],[2,3]] => [[3,2,0,0],[2,2,0],[2,1],[2]] => [[3,2,0,0],[3,0,0],[2,0],[1]] => 11
[2,4,1,1,3] => [[1,1,3],[2,4]] => [[3,2,0,0],[3,1,0],[2,1],[2]] => [[3,2,0,0],[2,1,0],[1,1],[1]] => 11
[2,4,1,3,1] => [[1,1],[2,3],[4]] => [[2,2,1,0],[2,2,0],[2,1],[2]] => [[2,2,1,0],[2,1,0],[1,1],[1]] => 11
[2,4,3,1,1] => [[1,1],[2,3],[4]] => [[2,2,1,0],[2,2,0],[2,1],[2]] => [[2,2,1,0],[2,1,0],[1,1],[1]] => 11
[3,1,1,2,4] => [[1,1,2,4],[3]] => [[4,1,0,0],[3,1,0],[3,0],[2]] => [[4,1,0,0],[2,1,0],[2,0],[1]] => 11
[3,1,1,4,2] => [[1,1,2],[3,4]] => [[3,2,0,0],[3,1,0],[3,0],[2]] => [[3,2,0,0],[2,1,0],[2,0],[1]] => 11
[3,1,2,1,4] => [[1,1,4],[2],[3]] => [[3,1,1,0],[2,1,1],[2,1],[2]] => [[3,1,1,0],[2,1,0],[2,0],[1]] => 11
[3,1,2,4,1] => [[1,1,4],[2],[3]] => [[3,1,1,0],[2,1,1],[2,1],[2]] => [[3,1,1,0],[2,1,0],[2,0],[1]] => 11
[3,1,4,1,2] => [[1,1,2],[3,4]] => [[3,2,0,0],[3,1,0],[3,0],[2]] => [[3,2,0,0],[2,1,0],[2,0],[1]] => 11
[3,1,4,2,1] => [[1,1],[2,4],[3]] => [[2,2,1,0],[2,1,1],[2,1],[2]] => [[2,2,1,0],[2,1,0],[2,0],[1]] => 11
[3,2,1,1,4] => [[1,1,4],[2],[3]] => [[3,1,1,0],[2,1,1],[2,1],[2]] => [[3,1,1,0],[2,1,0],[2,0],[1]] => 11
[3,2,1,4,1] => [[1,1],[2,4],[3]] => [[2,2,1,0],[2,1,1],[2,1],[2]] => [[2,2,1,0],[2,1,0],[2,0],[1]] => 11
[3,2,4,1,1] => [[1,1],[2,4],[3]] => [[2,2,1,0],[2,1,1],[2,1],[2]] => [[2,2,1,0],[2,1,0],[2,0],[1]] => 11
[3,4,1,1,2] => [[1,1,2],[3,4]] => [[3,2,0,0],[3,1,0],[3,0],[2]] => [[3,2,0,0],[2,1,0],[2,0],[1]] => 11
[3,4,1,2,1] => [[1,1],[2,4],[3]] => [[2,2,1,0],[2,1,1],[2,1],[2]] => [[2,2,1,0],[2,1,0],[2,0],[1]] => 11
[3,4,2,1,1] => [[1,1],[2,4],[3]] => [[2,2,1,0],[2,1,1],[2,1],[2]] => [[2,2,1,0],[2,1,0],[2,0],[1]] => 11
[4,1,1,2,3] => [[1,1,2,3],[4]] => [[4,1,0,0],[4,0,0],[3,0],[2]] => [[4,1,0,0],[2,1,0],[1,1],[1]] => 11
[4,1,1,3,2] => [[1,1,2],[3],[4]] => [[3,1,1,0],[3,1,0],[3,0],[2]] => [[3,1,1,0],[1,1,1],[1,1],[1]] => 11
[4,1,2,1,3] => [[1,1,3],[2],[4]] => [[3,1,1,0],[3,1,0],[2,1],[2]] => [[3,1,1,0],[2,1,0],[1,1],[1]] => 11
[4,1,2,3,1] => [[1,1,3],[2],[4]] => [[3,1,1,0],[3,1,0],[2,1],[2]] => [[3,1,1,0],[2,1,0],[1,1],[1]] => 11
[4,1,3,1,2] => [[1,1,2],[3],[4]] => [[3,1,1,0],[3,1,0],[3,0],[2]] => [[3,1,1,0],[1,1,1],[1,1],[1]] => 11
[4,1,3,2,1] => [[1,1],[2],[3],[4]] => [[2,1,1,1],[2,1,1],[2,1],[2]] => [[2,1,1,1],[1,1,1],[1,1],[1]] => 11
[4,2,1,1,3] => [[1,1,3],[2],[4]] => [[3,1,1,0],[3,1,0],[2,1],[2]] => [[3,1,1,0],[2,1,0],[1,1],[1]] => 11
[4,2,1,3,1] => [[1,1],[2,3],[4]] => [[2,2,1,0],[2,2,0],[2,1],[2]] => [[2,2,1,0],[2,1,0],[1,1],[1]] => 11
[4,2,3,1,1] => [[1,1],[2,3],[4]] => [[2,2,1,0],[2,2,0],[2,1],[2]] => [[2,2,1,0],[2,1,0],[1,1],[1]] => 11
[4,3,1,1,2] => [[1,1,2],[3],[4]] => [[3,1,1,0],[3,1,0],[3,0],[2]] => [[3,1,1,0],[1,1,1],[1,1],[1]] => 11
[4,3,1,2,1] => [[1,1],[2],[3],[4]] => [[2,1,1,1],[2,1,1],[2,1],[2]] => [[2,1,1,1],[1,1,1],[1,1],[1]] => 11
[4,3,2,1,1] => [[1,1],[2],[3],[4]] => [[2,1,1,1],[2,1,1],[2,1],[2]] => [[2,1,1,1],[1,1,1],[1,1],[1]] => 11
[1,1,4,2,4] => [[1,1,2,4],[4]] => [[4,1,0,0],[3,0,0],[3,0],[2]] => [[4,1,0,0],[2,1,0],[2,0],[2]] => 12
[1,1,4,4,2] => [[1,1,2,4],[4]] => [[4,1,0,0],[3,0,0],[3,0],[2]] => [[4,1,0,0],[2,1,0],[2,0],[2]] => 12
[1,2,1,4,4] => [[1,1,4,4],[2]] => [[4,1,0,0],[2,1,0],[2,1],[2]] => [[4,1,0,0],[3,0,0],[2,0],[2]] => 12
[1,2,4,1,4] => [[1,1,4,4],[2]] => [[4,1,0,0],[2,1,0],[2,1],[2]] => [[4,1,0,0],[3,0,0],[2,0],[2]] => 12
[1,2,4,4,1] => [[1,1,4,4],[2]] => [[4,1,0,0],[2,1,0],[2,1],[2]] => [[4,1,0,0],[3,0,0],[2,0],[2]] => 12
[1,4,1,2,4] => [[1,1,2,4],[4]] => [[4,1,0,0],[3,0,0],[3,0],[2]] => [[4,1,0,0],[2,1,0],[2,0],[2]] => 12
[1,4,1,4,2] => [[1,1,2],[4,4]] => [[3,2,0,0],[3,0,0],[3,0],[2]] => [[3,2,0,0],[2,1,0],[2,0],[2]] => 12
[1,4,2,1,4] => [[1,1,4],[2],[4]] => [[3,1,1,0],[2,1,0],[2,1],[2]] => [[3,1,1,0],[2,1,0],[2,0],[2]] => 12
[1,4,2,4,1] => [[1,1,4],[2],[4]] => [[3,1,1,0],[2,1,0],[2,1],[2]] => [[3,1,1,0],[2,1,0],[2,0],[2]] => 12
[1,4,4,1,2] => [[1,1,2],[4,4]] => [[3,2,0,0],[3,0,0],[3,0],[2]] => [[3,2,0,0],[2,1,0],[2,0],[2]] => 12
[1,4,4,2,1] => [[1,1,4],[2],[4]] => [[3,1,1,0],[2,1,0],[2,1],[2]] => [[3,1,1,0],[2,1,0],[2,0],[2]] => 12
[2,1,1,4,4] => [[1,1,4,4],[2]] => [[4,1,0,0],[2,1,0],[2,1],[2]] => [[4,1,0,0],[3,0,0],[2,0],[2]] => 12
[2,1,4,1,4] => [[1,1,4],[2,4]] => [[3,2,0,0],[2,1,0],[2,1],[2]] => [[3,2,0,0],[3,0,0],[2,0],[2]] => 12
[2,1,4,4,1] => [[1,1,4],[2,4]] => [[3,2,0,0],[2,1,0],[2,1],[2]] => [[3,2,0,0],[3,0,0],[2,0],[2]] => 12
[2,4,1,1,4] => [[1,1,4],[2,4]] => [[3,2,0,0],[2,1,0],[2,1],[2]] => [[3,2,0,0],[3,0,0],[2,0],[2]] => 12
[2,4,1,4,1] => [[1,1,4],[2,4]] => [[3,2,0,0],[2,1,0],[2,1],[2]] => [[3,2,0,0],[3,0,0],[2,0],[2]] => 12
[2,4,4,1,1] => [[1,1,4],[2,4]] => [[3,2,0,0],[2,1,0],[2,1],[2]] => [[3,2,0,0],[3,0,0],[2,0],[2]] => 12
[4,1,1,2,4] => [[1,1,2,4],[4]] => [[4,1,0,0],[3,0,0],[3,0],[2]] => [[4,1,0,0],[2,1,0],[2,0],[2]] => 12
[4,1,1,4,2] => [[1,1,2],[4,4]] => [[3,2,0,0],[3,0,0],[3,0],[2]] => [[3,2,0,0],[2,1,0],[2,0],[2]] => 12
[4,1,2,1,4] => [[1,1,4],[2],[4]] => [[3,1,1,0],[2,1,0],[2,1],[2]] => [[3,1,1,0],[2,1,0],[2,0],[2]] => 12
[4,1,2,4,1] => [[1,1,4],[2],[4]] => [[3,1,1,0],[2,1,0],[2,1],[2]] => [[3,1,1,0],[2,1,0],[2,0],[2]] => 12
[4,1,4,1,2] => [[1,1,2],[4,4]] => [[3,2,0,0],[3,0,0],[3,0],[2]] => [[3,2,0,0],[2,1,0],[2,0],[2]] => 12
[4,1,4,2,1] => [[1,1],[2,4],[4]] => [[2,2,1,0],[2,1,0],[2,1],[2]] => [[2,2,1,0],[2,1,0],[2,0],[2]] => 12
[4,2,1,1,4] => [[1,1,4],[2],[4]] => [[3,1,1,0],[2,1,0],[2,1],[2]] => [[3,1,1,0],[2,1,0],[2,0],[2]] => 12
[4,2,1,4,1] => [[1,1],[2,4],[4]] => [[2,2,1,0],[2,1,0],[2,1],[2]] => [[2,2,1,0],[2,1,0],[2,0],[2]] => 12
[4,2,4,1,1] => [[1,1],[2,4],[4]] => [[2,2,1,0],[2,1,0],[2,1],[2]] => [[2,2,1,0],[2,1,0],[2,0],[2]] => 12
[4,4,1,1,2] => [[1,1,2],[4,4]] => [[3,2,0,0],[3,0,0],[3,0],[2]] => [[3,2,0,0],[2,1,0],[2,0],[2]] => 12
[4,4,1,2,1] => [[1,1],[2,4],[4]] => [[2,2,1,0],[2,1,0],[2,1],[2]] => [[2,2,1,0],[2,1,0],[2,0],[2]] => 12
[4,4,2,1,1] => [[1,1],[2,4],[4]] => [[2,2,1,0],[2,1,0],[2,1],[2]] => [[2,2,1,0],[2,1,0],[2,0],[2]] => 12
[1,1,3,3,3] => [[1,1,3,3,3]] => [[5,0,0],[2,0],[2]] => [[5,0,0],[3,0],[3]] => 11
[1,3,1,3,3] => [[1,1,3,3],[3]] => [[4,1,0],[2,0],[2]] => [[4,1,0],[3,0],[3]] => 11
[1,3,3,1,3] => [[1,1,3,3],[3]] => [[4,1,0],[2,0],[2]] => [[4,1,0],[3,0],[3]] => 11
[1,3,3,3,1] => [[1,1,3,3],[3]] => [[4,1,0],[2,0],[2]] => [[4,1,0],[3,0],[3]] => 11
[3,1,1,3,3] => [[1,1,3,3],[3]] => [[4,1,0],[2,0],[2]] => [[4,1,0],[3,0],[3]] => 11
[3,1,3,1,3] => [[1,1,3],[3,3]] => [[3,2,0],[2,0],[2]] => [[3,2,0],[3,0],[3]] => 11
[3,1,3,3,1] => [[1,1,3],[3,3]] => [[3,2,0],[2,0],[2]] => [[3,2,0],[3,0],[3]] => 11
[3,3,1,1,3] => [[1,1,3],[3,3]] => [[3,2,0],[2,0],[2]] => [[3,2,0],[3,0],[3]] => 11
[3,3,1,3,1] => [[1,1,3],[3,3]] => [[3,2,0],[2,0],[2]] => [[3,2,0],[3,0],[3]] => 11
[3,3,3,1,1] => [[1,1,3],[3,3]] => [[3,2,0],[2,0],[2]] => [[3,2,0],[3,0],[3]] => 11
[1,1,3,4,3] => [[1,1,3,3],[4]] => [[4,1,0,0],[4,0,0],[2,0],[2]] => [[4,1,0,0],[2,1,0],[2,1],[1]] => 12
[1,1,4,3,3] => [[1,1,3,3],[4]] => [[4,1,0,0],[4,0,0],[2,0],[2]] => [[4,1,0,0],[2,1,0],[2,1],[1]] => 12
[1,3,1,3,4] => [[1,1,3,4],[3]] => [[4,1,0,0],[3,1,0],[2,0],[2]] => [[4,1,0,0],[3,0,0],[3,0],[1]] => 12
[1,3,1,4,3] => [[1,1,3],[3,4]] => [[3,2,0,0],[3,1,0],[2,0],[2]] => [[3,2,0,0],[2,1,0],[2,1],[1]] => 12
[1,3,3,1,4] => [[1,1,3,4],[3]] => [[4,1,0,0],[3,1,0],[2,0],[2]] => [[4,1,0,0],[3,0,0],[3,0],[1]] => 12
[1,3,3,4,1] => [[1,1,3,4],[3]] => [[4,1,0,0],[3,1,0],[2,0],[2]] => [[4,1,0,0],[3,0,0],[3,0],[1]] => 12
[1,3,4,1,3] => [[1,1,3],[3,4]] => [[3,2,0,0],[3,1,0],[2,0],[2]] => [[3,2,0,0],[2,1,0],[2,1],[1]] => 12
[1,3,4,3,1] => [[1,1,3],[3],[4]] => [[3,1,1,0],[3,1,0],[2,0],[2]] => [[3,1,1,0],[2,1,0],[2,1],[1]] => 12
[1,4,1,3,3] => [[1,1,3,3],[4]] => [[4,1,0,0],[4,0,0],[2,0],[2]] => [[4,1,0,0],[2,1,0],[2,1],[1]] => 12
[1,4,3,1,3] => [[1,1,3],[3],[4]] => [[3,1,1,0],[3,1,0],[2,0],[2]] => [[3,1,1,0],[2,1,0],[2,1],[1]] => 12
[1,4,3,3,1] => [[1,1,3],[3],[4]] => [[3,1,1,0],[3,1,0],[2,0],[2]] => [[3,1,1,0],[2,1,0],[2,1],[1]] => 12
[3,1,1,3,4] => [[1,1,3,4],[3]] => [[4,1,0,0],[3,1,0],[2,0],[2]] => [[4,1,0,0],[3,0,0],[3,0],[1]] => 12
[3,1,1,4,3] => [[1,1,3],[3,4]] => [[3,2,0,0],[3,1,0],[2,0],[2]] => [[3,2,0,0],[2,1,0],[2,1],[1]] => 12
[3,1,3,1,4] => [[1,1,4],[3,3]] => [[3,2,0,0],[2,2,0],[2,0],[2]] => [[3,2,0,0],[3,0,0],[3,0],[1]] => 12
[3,1,3,4,1] => [[1,1,4],[3,3]] => [[3,2,0,0],[2,2,0],[2,0],[2]] => [[3,2,0,0],[3,0,0],[3,0],[1]] => 12
[3,1,4,1,3] => [[1,1,3],[3,4]] => [[3,2,0,0],[3,1,0],[2,0],[2]] => [[3,2,0,0],[2,1,0],[2,1],[1]] => 12
[3,1,4,3,1] => [[1,1],[3,3],[4]] => [[2,2,1,0],[2,2,0],[2,0],[2]] => [[2,2,1,0],[2,1,0],[2,1],[1]] => 12
[3,3,1,1,4] => [[1,1,4],[3,3]] => [[3,2,0,0],[2,2,0],[2,0],[2]] => [[3,2,0,0],[3,0,0],[3,0],[1]] => 12
[3,3,1,4,1] => [[1,1,4],[3,3]] => [[3,2,0,0],[2,2,0],[2,0],[2]] => [[3,2,0,0],[3,0,0],[3,0],[1]] => 12
[3,3,4,1,1] => [[1,1,4],[3,3]] => [[3,2,0,0],[2,2,0],[2,0],[2]] => [[3,2,0,0],[3,0,0],[3,0],[1]] => 12
[3,4,1,1,3] => [[1,1,3],[3,4]] => [[3,2,0,0],[3,1,0],[2,0],[2]] => [[3,2,0,0],[2,1,0],[2,1],[1]] => 12
[3,4,1,3,1] => [[1,1],[3,3],[4]] => [[2,2,1,0],[2,2,0],[2,0],[2]] => [[2,2,1,0],[2,1,0],[2,1],[1]] => 12
[3,4,3,1,1] => [[1,1],[3,3],[4]] => [[2,2,1,0],[2,2,0],[2,0],[2]] => [[2,2,1,0],[2,1,0],[2,1],[1]] => 12
[4,1,1,3,3] => [[1,1,3,3],[4]] => [[4,1,0,0],[4,0,0],[2,0],[2]] => [[4,1,0,0],[2,1,0],[2,1],[1]] => 12
[4,1,3,1,3] => [[1,1,3],[3],[4]] => [[3,1,1,0],[3,1,0],[2,0],[2]] => [[3,1,1,0],[2,1,0],[2,1],[1]] => 12
[4,1,3,3,1] => [[1,1,3],[3],[4]] => [[3,1,1,0],[3,1,0],[2,0],[2]] => [[3,1,1,0],[2,1,0],[2,1],[1]] => 12
[4,3,1,1,3] => [[1,1,3],[3],[4]] => [[3,1,1,0],[3,1,0],[2,0],[2]] => [[3,1,1,0],[2,1,0],[2,1],[1]] => 12
[4,3,1,3,1] => [[1,1],[3,3],[4]] => [[2,2,1,0],[2,2,0],[2,0],[2]] => [[2,2,1,0],[2,1,0],[2,1],[1]] => 12
[4,3,3,1,1] => [[1,1],[3,3],[4]] => [[2,2,1,0],[2,2,0],[2,0],[2]] => [[2,2,1,0],[2,1,0],[2,1],[1]] => 12
[1,1,4,3,4] => [[1,1,3,4],[4]] => [[4,1,0,0],[3,0,0],[2,0],[2]] => [[4,1,0,0],[2,1,0],[2,1],[2]] => 13
[1,1,4,4,3] => [[1,1,3,4],[4]] => [[4,1,0,0],[3,0,0],[2,0],[2]] => [[4,1,0,0],[2,1,0],[2,1],[2]] => 13
[1,3,1,4,4] => [[1,1,4,4],[3]] => [[4,1,0,0],[2,1,0],[2,0],[2]] => [[4,1,0,0],[3,0,0],[3,0],[2]] => 13
[1,3,4,1,4] => [[1,1,4,4],[3]] => [[4,1,0,0],[2,1,0],[2,0],[2]] => [[4,1,0,0],[3,0,0],[3,0],[2]] => 13
[1,3,4,4,1] => [[1,1,4,4],[3]] => [[4,1,0,0],[2,1,0],[2,0],[2]] => [[4,1,0,0],[3,0,0],[3,0],[2]] => 13
[1,4,1,3,4] => [[1,1,3,4],[4]] => [[4,1,0,0],[3,0,0],[2,0],[2]] => [[4,1,0,0],[2,1,0],[2,1],[2]] => 13
[1,4,1,4,3] => [[1,1,3],[4,4]] => [[3,2,0,0],[3,0,0],[2,0],[2]] => [[3,2,0,0],[2,1,0],[2,1],[2]] => 13
[1,4,3,1,4] => [[1,1,4],[3],[4]] => [[3,1,1,0],[2,1,0],[2,0],[2]] => [[3,1,1,0],[2,1,0],[2,1],[2]] => 13
[1,4,3,4,1] => [[1,1,4],[3],[4]] => [[3,1,1,0],[2,1,0],[2,0],[2]] => [[3,1,1,0],[2,1,0],[2,1],[2]] => 13
[1,4,4,1,3] => [[1,1,3],[4,4]] => [[3,2,0,0],[3,0,0],[2,0],[2]] => [[3,2,0,0],[2,1,0],[2,1],[2]] => 13
[1,4,4,3,1] => [[1,1,4],[3],[4]] => [[3,1,1,0],[2,1,0],[2,0],[2]] => [[3,1,1,0],[2,1,0],[2,1],[2]] => 13
[3,1,1,4,4] => [[1,1,4,4],[3]] => [[4,1,0,0],[2,1,0],[2,0],[2]] => [[4,1,0,0],[3,0,0],[3,0],[2]] => 13
[3,1,4,1,4] => [[1,1,4],[3,4]] => [[3,2,0,0],[2,1,0],[2,0],[2]] => [[3,2,0,0],[3,0,0],[3,0],[2]] => 13
[3,1,4,4,1] => [[1,1,4],[3,4]] => [[3,2,0,0],[2,1,0],[2,0],[2]] => [[3,2,0,0],[3,0,0],[3,0],[2]] => 13
[3,4,1,1,4] => [[1,1,4],[3,4]] => [[3,2,0,0],[2,1,0],[2,0],[2]] => [[3,2,0,0],[3,0,0],[3,0],[2]] => 13
[3,4,1,4,1] => [[1,1,4],[3,4]] => [[3,2,0,0],[2,1,0],[2,0],[2]] => [[3,2,0,0],[3,0,0],[3,0],[2]] => 13
[3,4,4,1,1] => [[1,1,4],[3,4]] => [[3,2,0,0],[2,1,0],[2,0],[2]] => [[3,2,0,0],[3,0,0],[3,0],[2]] => 13
[4,1,1,3,4] => [[1,1,3,4],[4]] => [[4,1,0,0],[3,0,0],[2,0],[2]] => [[4,1,0,0],[2,1,0],[2,1],[2]] => 13
[4,1,1,4,3] => [[1,1,3],[4,4]] => [[3,2,0,0],[3,0,0],[2,0],[2]] => [[3,2,0,0],[2,1,0],[2,1],[2]] => 13
[4,1,3,1,4] => [[1,1,4],[3],[4]] => [[3,1,1,0],[2,1,0],[2,0],[2]] => [[3,1,1,0],[2,1,0],[2,1],[2]] => 13
[4,1,3,4,1] => [[1,1,4],[3],[4]] => [[3,1,1,0],[2,1,0],[2,0],[2]] => [[3,1,1,0],[2,1,0],[2,1],[2]] => 13
[4,1,4,1,3] => [[1,1,3],[4,4]] => [[3,2,0,0],[3,0,0],[2,0],[2]] => [[3,2,0,0],[2,1,0],[2,1],[2]] => 13
[4,1,4,3,1] => [[1,1],[3,4],[4]] => [[2,2,1,0],[2,1,0],[2,0],[2]] => [[2,2,1,0],[2,1,0],[2,1],[2]] => 13
[4,3,1,1,4] => [[1,1,4],[3],[4]] => [[3,1,1,0],[2,1,0],[2,0],[2]] => [[3,1,1,0],[2,1,0],[2,1],[2]] => 13
[4,3,1,4,1] => [[1,1],[3,4],[4]] => [[2,2,1,0],[2,1,0],[2,0],[2]] => [[2,2,1,0],[2,1,0],[2,1],[2]] => 13
[4,3,4,1,1] => [[1,1],[3,4],[4]] => [[2,2,1,0],[2,1,0],[2,0],[2]] => [[2,2,1,0],[2,1,0],[2,1],[2]] => 13
[4,4,1,1,3] => [[1,1,3],[4,4]] => [[3,2,0,0],[3,0,0],[2,0],[2]] => [[3,2,0,0],[2,1,0],[2,1],[2]] => 13
[4,4,1,3,1] => [[1,1],[3,4],[4]] => [[2,2,1,0],[2,1,0],[2,0],[2]] => [[2,2,1,0],[2,1,0],[2,1],[2]] => 13
[4,4,3,1,1] => [[1,1],[3,4],[4]] => [[2,2,1,0],[2,1,0],[2,0],[2]] => [[2,2,1,0],[2,1,0],[2,1],[2]] => 13
[1,2,2,2,2] => [[1,2,2,2,2]] => [[5,0],[1]] => [[5,0],[4]] => 9
[2,1,2,2,2] => [[1,2,2,2],[2]] => [[4,1],[1]] => [[4,1],[4]] => 9
[2,2,1,2,2] => [[1,2,2,2],[2]] => [[4,1],[1]] => [[4,1],[4]] => 9
[2,2,2,1,2] => [[1,2,2,2],[2]] => [[4,1],[1]] => [[4,1],[4]] => 9
[2,2,2,2,1] => [[1,2,2,2],[2]] => [[4,1],[1]] => [[4,1],[4]] => 9
[1,2,2,2,3] => [[1,2,2,2,3]] => [[5,0,0],[4,0],[1]] => [[5,0,0],[4,0],[1]] => 10
[1,2,2,3,2] => [[1,2,2,2],[3]] => [[4,1,0],[4,0],[1]] => [[4,1,0],[3,1],[1]] => 10
[1,2,3,2,2] => [[1,2,2,2],[3]] => [[4,1,0],[4,0],[1]] => [[4,1,0],[3,1],[1]] => 10
[1,3,2,2,2] => [[1,2,2,2],[3]] => [[4,1,0],[4,0],[1]] => [[4,1,0],[3,1],[1]] => 10
[2,1,2,2,3] => [[1,2,2,3],[2]] => [[4,1,0],[3,1],[1]] => [[4,1,0],[4,0],[1]] => 10
[2,1,2,3,2] => [[1,2,2],[2,3]] => [[3,2,0],[3,1],[1]] => [[3,2,0],[3,1],[1]] => 10
[2,1,3,2,2] => [[1,2,2],[2,3]] => [[3,2,0],[3,1],[1]] => [[3,2,0],[3,1],[1]] => 10
[2,2,1,2,3] => [[1,2,2,3],[2]] => [[4,1,0],[3,1],[1]] => [[4,1,0],[4,0],[1]] => 10
[2,2,1,3,2] => [[1,2,2],[2,3]] => [[3,2,0],[3,1],[1]] => [[3,2,0],[3,1],[1]] => 10
[2,2,2,1,3] => [[1,2,2,3],[2]] => [[4,1,0],[3,1],[1]] => [[4,1,0],[4,0],[1]] => 10
[2,2,2,3,1] => [[1,2,2,3],[2]] => [[4,1,0],[3,1],[1]] => [[4,1,0],[4,0],[1]] => 10
[2,2,3,1,2] => [[1,2,2],[2,3]] => [[3,2,0],[3,1],[1]] => [[3,2,0],[3,1],[1]] => 10
[2,2,3,2,1] => [[1,2,2],[2],[3]] => [[3,1,1],[3,1],[1]] => [[3,1,1],[3,1],[1]] => 10
[2,3,1,2,2] => [[1,2,2],[2,3]] => [[3,2,0],[3,1],[1]] => [[3,2,0],[3,1],[1]] => 10
[2,3,2,1,2] => [[1,2,2],[2],[3]] => [[3,1,1],[3,1],[1]] => [[3,1,1],[3,1],[1]] => 10
[2,3,2,2,1] => [[1,2,2],[2],[3]] => [[3,1,1],[3,1],[1]] => [[3,1,1],[3,1],[1]] => 10
[3,1,2,2,2] => [[1,2,2,2],[3]] => [[4,1,0],[4,0],[1]] => [[4,1,0],[3,1],[1]] => 10
[3,2,1,2,2] => [[1,2,2],[2],[3]] => [[3,1,1],[3,1],[1]] => [[3,1,1],[3,1],[1]] => 10
[3,2,2,1,2] => [[1,2,2],[2],[3]] => [[3,1,1],[3,1],[1]] => [[3,1,1],[3,1],[1]] => 10
[3,2,2,2,1] => [[1,2,2],[2],[3]] => [[3,1,1],[3,1],[1]] => [[3,1,1],[3,1],[1]] => 10
[1,2,2,4,2] => [[1,2,2,2],[4]] => [[4,1,0,0],[4,0,0],[4,0],[1]] => [[4,1,0,0],[3,1,0],[1,0],[1]] => 11
[1,2,4,2,2] => [[1,2,2,2],[4]] => [[4,1,0,0],[4,0,0],[4,0],[1]] => [[4,1,0,0],[3,1,0],[1,0],[1]] => 11
[1,4,2,2,2] => [[1,2,2,2],[4]] => [[4,1,0,0],[4,0,0],[4,0],[1]] => [[4,1,0,0],[3,1,0],[1,0],[1]] => 11
[2,1,2,2,4] => [[1,2,2,4],[2]] => [[4,1,0,0],[3,1,0],[3,1],[1]] => [[4,1,0,0],[4,0,0],[1,0],[1]] => 11
[2,1,2,4,2] => [[1,2,2],[2,4]] => [[3,2,0,0],[3,1,0],[3,1],[1]] => [[3,2,0,0],[3,1,0],[1,0],[1]] => 11
[2,1,4,2,2] => [[1,2,2],[2,4]] => [[3,2,0,0],[3,1,0],[3,1],[1]] => [[3,2,0,0],[3,1,0],[1,0],[1]] => 11
[2,2,1,2,4] => [[1,2,2,4],[2]] => [[4,1,0,0],[3,1,0],[3,1],[1]] => [[4,1,0,0],[4,0,0],[1,0],[1]] => 11
[2,2,1,4,2] => [[1,2,2],[2,4]] => [[3,2,0,0],[3,1,0],[3,1],[1]] => [[3,2,0,0],[3,1,0],[1,0],[1]] => 11
[2,2,2,1,4] => [[1,2,2,4],[2]] => [[4,1,0,0],[3,1,0],[3,1],[1]] => [[4,1,0,0],[4,0,0],[1,0],[1]] => 11
[2,2,2,4,1] => [[1,2,2,4],[2]] => [[4,1,0,0],[3,1,0],[3,1],[1]] => [[4,1,0,0],[4,0,0],[1,0],[1]] => 11
[2,2,4,1,2] => [[1,2,2],[2,4]] => [[3,2,0,0],[3,1,0],[3,1],[1]] => [[3,2,0,0],[3,1,0],[1,0],[1]] => 11
[2,2,4,2,1] => [[1,2,2],[2],[4]] => [[3,1,1,0],[3,1,0],[3,1],[1]] => [[3,1,1,0],[3,1,0],[1,0],[1]] => 11
[2,4,1,2,2] => [[1,2,2],[2,4]] => [[3,2,0,0],[3,1,0],[3,1],[1]] => [[3,2,0,0],[3,1,0],[1,0],[1]] => 11
[2,4,2,1,2] => [[1,2,2],[2],[4]] => [[3,1,1,0],[3,1,0],[3,1],[1]] => [[3,1,1,0],[3,1,0],[1,0],[1]] => 11
[2,4,2,2,1] => [[1,2,2],[2],[4]] => [[3,1,1,0],[3,1,0],[3,1],[1]] => [[3,1,1,0],[3,1,0],[1,0],[1]] => 11
[4,1,2,2,2] => [[1,2,2,2],[4]] => [[4,1,0,0],[4,0,0],[4,0],[1]] => [[4,1,0,0],[3,1,0],[1,0],[1]] => 11
[4,2,1,2,2] => [[1,2,2],[2],[4]] => [[3,1,1,0],[3,1,0],[3,1],[1]] => [[3,1,1,0],[3,1,0],[1,0],[1]] => 11
[4,2,2,1,2] => [[1,2,2],[2],[4]] => [[3,1,1,0],[3,1,0],[3,1],[1]] => [[3,1,1,0],[3,1,0],[1,0],[1]] => 11
[4,2,2,2,1] => [[1,2,2],[2],[4]] => [[3,1,1,0],[3,1,0],[3,1],[1]] => [[3,1,1,0],[3,1,0],[1,0],[1]] => 11
[1,2,2,3,3] => [[1,2,2,3,3]] => [[5,0,0],[3,0],[1]] => [[5,0,0],[4,0],[2]] => 11
[1,2,3,2,3] => [[1,2,2,3],[3]] => [[4,1,0],[3,0],[1]] => [[4,1,0],[3,1],[2]] => 11
[1,2,3,3,2] => [[1,2,2,3],[3]] => [[4,1,0],[3,0],[1]] => [[4,1,0],[3,1],[2]] => 11
[1,3,2,2,3] => [[1,2,2,3],[3]] => [[4,1,0],[3,0],[1]] => [[4,1,0],[3,1],[2]] => 11
[1,3,2,3,2] => [[1,2,2],[3,3]] => [[3,2,0],[3,0],[1]] => [[3,2,0],[2,2],[2]] => 11
[1,3,3,2,2] => [[1,2,2],[3,3]] => [[3,2,0],[3,0],[1]] => [[3,2,0],[2,2],[2]] => 11
[2,1,2,3,3] => [[1,2,3,3],[2]] => [[4,1,0],[2,1],[1]] => [[4,1,0],[4,0],[2]] => 11
[2,1,3,2,3] => [[1,2,3],[2,3]] => [[3,2,0],[2,1],[1]] => [[3,2,0],[3,1],[2]] => 11
[2,1,3,3,2] => [[1,2,3],[2,3]] => [[3,2,0],[2,1],[1]] => [[3,2,0],[3,1],[2]] => 11
[2,2,1,3,3] => [[1,2,3,3],[2]] => [[4,1,0],[2,1],[1]] => [[4,1,0],[4,0],[2]] => 11
[2,2,3,1,3] => [[1,2,3,3],[2]] => [[4,1,0],[2,1],[1]] => [[4,1,0],[4,0],[2]] => 11
[2,2,3,3,1] => [[1,2,3,3],[2]] => [[4,1,0],[2,1],[1]] => [[4,1,0],[4,0],[2]] => 11
[2,3,1,2,3] => [[1,2,3],[2,3]] => [[3,2,0],[2,1],[1]] => [[3,2,0],[3,1],[2]] => 11
[2,3,1,3,2] => [[1,2,3],[2,3]] => [[3,2,0],[2,1],[1]] => [[3,2,0],[3,1],[2]] => 11
[2,3,2,1,3] => [[1,2,3],[2],[3]] => [[3,1,1],[2,1],[1]] => [[3,1,1],[3,1],[2]] => 11
[2,3,2,3,1] => [[1,2,3],[2],[3]] => [[3,1,1],[2,1],[1]] => [[3,1,1],[3,1],[2]] => 11
[2,3,3,1,2] => [[1,2,3],[2,3]] => [[3,2,0],[2,1],[1]] => [[3,2,0],[3,1],[2]] => 11
[2,3,3,2,1] => [[1,2,3],[2],[3]] => [[3,1,1],[2,1],[1]] => [[3,1,1],[3,1],[2]] => 11
[3,1,2,2,3] => [[1,2,2,3],[3]] => [[4,1,0],[3,0],[1]] => [[4,1,0],[3,1],[2]] => 11
[3,1,2,3,2] => [[1,2,2],[3,3]] => [[3,2,0],[3,0],[1]] => [[3,2,0],[2,2],[2]] => 11
[3,1,3,2,2] => [[1,2,2],[3,3]] => [[3,2,0],[3,0],[1]] => [[3,2,0],[2,2],[2]] => 11
[3,2,1,2,3] => [[1,2,3],[2],[3]] => [[3,1,1],[2,1],[1]] => [[3,1,1],[3,1],[2]] => 11
[3,2,1,3,2] => [[1,2],[2,3],[3]] => [[2,2,1],[2,1],[1]] => [[2,2,1],[2,2],[2]] => 11
[3,2,2,1,3] => [[1,2,3],[2],[3]] => [[3,1,1],[2,1],[1]] => [[3,1,1],[3,1],[2]] => 11
[3,2,2,3,1] => [[1,2,3],[2],[3]] => [[3,1,1],[2,1],[1]] => [[3,1,1],[3,1],[2]] => 11
[3,2,3,1,2] => [[1,2],[2,3],[3]] => [[2,2,1],[2,1],[1]] => [[2,2,1],[2,2],[2]] => 11
[3,2,3,2,1] => [[1,2],[2,3],[3]] => [[2,2,1],[2,1],[1]] => [[2,2,1],[2,2],[2]] => 11
[3,3,1,2,2] => [[1,2,2],[3,3]] => [[3,2,0],[3,0],[1]] => [[3,2,0],[2,2],[2]] => 11
[3,3,2,1,2] => [[1,2],[2,3],[3]] => [[2,2,1],[2,1],[1]] => [[2,2,1],[2,2],[2]] => 11
[3,3,2,2,1] => [[1,2],[2,3],[3]] => [[2,2,1],[2,1],[1]] => [[2,2,1],[2,2],[2]] => 11
[1,2,2,4,3] => [[1,2,2,3],[4]] => [[4,1,0,0],[4,0,0],[3,0],[1]] => [[4,1,0,0],[3,1,0],[1,1],[1]] => 12
[1,2,3,2,4] => [[1,2,2,4],[3]] => [[4,1,0,0],[3,1,0],[3,0],[1]] => [[4,1,0,0],[3,1,0],[2,0],[1]] => 12
[1,2,3,4,2] => [[1,2,2,4],[3]] => [[4,1,0,0],[3,1,0],[3,0],[1]] => [[4,1,0,0],[3,1,0],[2,0],[1]] => 12
[1,2,4,2,3] => [[1,2,2,3],[4]] => [[4,1,0,0],[4,0,0],[3,0],[1]] => [[4,1,0,0],[3,1,0],[1,1],[1]] => 12
[1,2,4,3,2] => [[1,2,2],[3],[4]] => [[3,1,1,0],[3,1,0],[3,0],[1]] => [[3,1,1,0],[2,1,1],[1,1],[1]] => 12
[1,3,2,2,4] => [[1,2,2,4],[3]] => [[4,1,0,0],[3,1,0],[3,0],[1]] => [[4,1,0,0],[3,1,0],[2,0],[1]] => 12
[1,3,2,4,2] => [[1,2,2],[3,4]] => [[3,2,0,0],[3,1,0],[3,0],[1]] => [[3,2,0,0],[2,2,0],[2,0],[1]] => 12
[1,3,4,2,2] => [[1,2,2],[3,4]] => [[3,2,0,0],[3,1,0],[3,0],[1]] => [[3,2,0,0],[2,2,0],[2,0],[1]] => 12
[1,4,2,2,3] => [[1,2,2,3],[4]] => [[4,1,0,0],[4,0,0],[3,0],[1]] => [[4,1,0,0],[3,1,0],[1,1],[1]] => 12
[1,4,2,3,2] => [[1,2,2],[3],[4]] => [[3,1,1,0],[3,1,0],[3,0],[1]] => [[3,1,1,0],[2,1,1],[1,1],[1]] => 12
[1,4,3,2,2] => [[1,2,2],[3],[4]] => [[3,1,1,0],[3,1,0],[3,0],[1]] => [[3,1,1,0],[2,1,1],[1,1],[1]] => 12
[2,1,2,3,4] => [[1,2,3,4],[2]] => [[4,1,0,0],[3,1,0],[2,1],[1]] => [[4,1,0,0],[4,0,0],[2,0],[1]] => 12
[2,1,2,4,3] => [[1,2,3],[2,4]] => [[3,2,0,0],[3,1,0],[2,1],[1]] => [[3,2,0,0],[3,1,0],[1,1],[1]] => 12
[2,1,3,2,4] => [[1,2,4],[2,3]] => [[3,2,0,0],[2,2,0],[2,1],[1]] => [[3,2,0,0],[3,1,0],[2,0],[1]] => 12
[2,1,3,4,2] => [[1,2,4],[2,3]] => [[3,2,0,0],[2,2,0],[2,1],[1]] => [[3,2,0,0],[3,1,0],[2,0],[1]] => 12
[2,1,4,2,3] => [[1,2,3],[2,4]] => [[3,2,0,0],[3,1,0],[2,1],[1]] => [[3,2,0,0],[3,1,0],[1,1],[1]] => 12
[2,1,4,3,2] => [[1,2],[2,3],[4]] => [[2,2,1,0],[2,2,0],[2,1],[1]] => [[2,2,1,0],[2,1,1],[1,1],[1]] => 12
[2,2,1,3,4] => [[1,2,3,4],[2]] => [[4,1,0,0],[3,1,0],[2,1],[1]] => [[4,1,0,0],[4,0,0],[2,0],[1]] => 12
[2,2,1,4,3] => [[1,2,3],[2,4]] => [[3,2,0,0],[3,1,0],[2,1],[1]] => [[3,2,0,0],[3,1,0],[1,1],[1]] => 12
[2,2,3,1,4] => [[1,2,3,4],[2]] => [[4,1,0,0],[3,1,0],[2,1],[1]] => [[4,1,0,0],[4,0,0],[2,0],[1]] => 12
[2,2,3,4,1] => [[1,2,3,4],[2]] => [[4,1,0,0],[3,1,0],[2,1],[1]] => [[4,1,0,0],[4,0,0],[2,0],[1]] => 12
[2,2,4,1,3] => [[1,2,3],[2,4]] => [[3,2,0,0],[3,1,0],[2,1],[1]] => [[3,2,0,0],[3,1,0],[1,1],[1]] => 12
[2,2,4,3,1] => [[1,2,3],[2],[4]] => [[3,1,1,0],[3,1,0],[2,1],[1]] => [[3,1,1,0],[3,1,0],[1,1],[1]] => 12
[2,3,1,2,4] => [[1,2,4],[2,3]] => [[3,2,0,0],[2,2,0],[2,1],[1]] => [[3,2,0,0],[3,1,0],[2,0],[1]] => 12
[2,3,1,4,2] => [[1,2,4],[2,3]] => [[3,2,0,0],[2,2,0],[2,1],[1]] => [[3,2,0,0],[3,1,0],[2,0],[1]] => 12
[2,3,2,1,4] => [[1,2,4],[2],[3]] => [[3,1,1,0],[2,1,1],[2,1],[1]] => [[3,1,1,0],[3,1,0],[2,0],[1]] => 12
[2,3,2,4,1] => [[1,2,4],[2],[3]] => [[3,1,1,0],[2,1,1],[2,1],[1]] => [[3,1,1,0],[3,1,0],[2,0],[1]] => 12
[2,3,4,1,2] => [[1,2,4],[2,3]] => [[3,2,0,0],[2,2,0],[2,1],[1]] => [[3,2,0,0],[3,1,0],[2,0],[1]] => 12
[2,3,4,2,1] => [[1,2,4],[2],[3]] => [[3,1,1,0],[2,1,1],[2,1],[1]] => [[3,1,1,0],[3,1,0],[2,0],[1]] => 12
[2,4,1,2,3] => [[1,2,3],[2,4]] => [[3,2,0,0],[3,1,0],[2,1],[1]] => [[3,2,0,0],[3,1,0],[1,1],[1]] => 12
[2,4,1,3,2] => [[1,2],[2,3],[4]] => [[2,2,1,0],[2,2,0],[2,1],[1]] => [[2,2,1,0],[2,1,1],[1,1],[1]] => 12
[2,4,2,1,3] => [[1,2,3],[2],[4]] => [[3,1,1,0],[3,1,0],[2,1],[1]] => [[3,1,1,0],[3,1,0],[1,1],[1]] => 12
[2,4,2,3,1] => [[1,2,3],[2],[4]] => [[3,1,1,0],[3,1,0],[2,1],[1]] => [[3,1,1,0],[3,1,0],[1,1],[1]] => 12
[2,4,3,1,2] => [[1,2],[2,3],[4]] => [[2,2,1,0],[2,2,0],[2,1],[1]] => [[2,2,1,0],[2,1,1],[1,1],[1]] => 12
[2,4,3,2,1] => [[1,2],[2],[3],[4]] => [[2,1,1,1],[2,1,1],[2,1],[1]] => [[2,1,1,1],[2,1,1],[1,1],[1]] => 12
[3,1,2,2,4] => [[1,2,2,4],[3]] => [[4,1,0,0],[3,1,0],[3,0],[1]] => [[4,1,0,0],[3,1,0],[2,0],[1]] => 12
[3,1,2,4,2] => [[1,2,2],[3,4]] => [[3,2,0,0],[3,1,0],[3,0],[1]] => [[3,2,0,0],[2,2,0],[2,0],[1]] => 12
[3,1,4,2,2] => [[1,2,2],[3,4]] => [[3,2,0,0],[3,1,0],[3,0],[1]] => [[3,2,0,0],[2,2,0],[2,0],[1]] => 12
[3,2,1,2,4] => [[1,2,4],[2],[3]] => [[3,1,1,0],[2,1,1],[2,1],[1]] => [[3,1,1,0],[3,1,0],[2,0],[1]] => 12
[3,2,1,4,2] => [[1,2],[2,4],[3]] => [[2,2,1,0],[2,1,1],[2,1],[1]] => [[2,2,1,0],[2,2,0],[2,0],[1]] => 12
[3,2,2,1,4] => [[1,2,4],[2],[3]] => [[3,1,1,0],[2,1,1],[2,1],[1]] => [[3,1,1,0],[3,1,0],[2,0],[1]] => 12
[3,2,2,4,1] => [[1,2,4],[2],[3]] => [[3,1,1,0],[2,1,1],[2,1],[1]] => [[3,1,1,0],[3,1,0],[2,0],[1]] => 12
[3,2,4,1,2] => [[1,2],[2,4],[3]] => [[2,2,1,0],[2,1,1],[2,1],[1]] => [[2,2,1,0],[2,2,0],[2,0],[1]] => 12
[3,2,4,2,1] => [[1,2],[2,4],[3]] => [[2,2,1,0],[2,1,1],[2,1],[1]] => [[2,2,1,0],[2,2,0],[2,0],[1]] => 12
[3,4,1,2,2] => [[1,2,2],[3,4]] => [[3,2,0,0],[3,1,0],[3,0],[1]] => [[3,2,0,0],[2,2,0],[2,0],[1]] => 12
[3,4,2,1,2] => [[1,2],[2,4],[3]] => [[2,2,1,0],[2,1,1],[2,1],[1]] => [[2,2,1,0],[2,2,0],[2,0],[1]] => 12
[3,4,2,2,1] => [[1,2],[2,4],[3]] => [[2,2,1,0],[2,1,1],[2,1],[1]] => [[2,2,1,0],[2,2,0],[2,0],[1]] => 12
[4,1,2,2,3] => [[1,2,2,3],[4]] => [[4,1,0,0],[4,0,0],[3,0],[1]] => [[4,1,0,0],[3,1,0],[1,1],[1]] => 12
[4,1,2,3,2] => [[1,2,2],[3],[4]] => [[3,1,1,0],[3,1,0],[3,0],[1]] => [[3,1,1,0],[2,1,1],[1,1],[1]] => 12
[4,1,3,2,2] => [[1,2,2],[3],[4]] => [[3,1,1,0],[3,1,0],[3,0],[1]] => [[3,1,1,0],[2,1,1],[1,1],[1]] => 12
[4,2,1,2,3] => [[1,2,3],[2],[4]] => [[3,1,1,0],[3,1,0],[2,1],[1]] => [[3,1,1,0],[3,1,0],[1,1],[1]] => 12
[4,2,1,3,2] => [[1,2],[2,3],[4]] => [[2,2,1,0],[2,2,0],[2,1],[1]] => [[2,2,1,0],[2,1,1],[1,1],[1]] => 12
[4,2,2,1,3] => [[1,2,3],[2],[4]] => [[3,1,1,0],[3,1,0],[2,1],[1]] => [[3,1,1,0],[3,1,0],[1,1],[1]] => 12
[4,2,2,3,1] => [[1,2,3],[2],[4]] => [[3,1,1,0],[3,1,0],[2,1],[1]] => [[3,1,1,0],[3,1,0],[1,1],[1]] => 12
[4,2,3,1,2] => [[1,2],[2,3],[4]] => [[2,2,1,0],[2,2,0],[2,1],[1]] => [[2,2,1,0],[2,1,1],[1,1],[1]] => 12
[4,2,3,2,1] => [[1,2],[2],[3],[4]] => [[2,1,1,1],[2,1,1],[2,1],[1]] => [[2,1,1,1],[2,1,1],[1,1],[1]] => 12
[4,3,1,2,2] => [[1,2,2],[3],[4]] => [[3,1,1,0],[3,1,0],[3,0],[1]] => [[3,1,1,0],[2,1,1],[1,1],[1]] => 12
[4,3,2,1,2] => [[1,2],[2],[3],[4]] => [[2,1,1,1],[2,1,1],[2,1],[1]] => [[2,1,1,1],[2,1,1],[1,1],[1]] => 12
[4,3,2,2,1] => [[1,2],[2],[3],[4]] => [[2,1,1,1],[2,1,1],[2,1],[1]] => [[2,1,1,1],[2,1,1],[1,1],[1]] => 12
[1,2,4,2,4] => [[1,2,2,4],[4]] => [[4,1,0,0],[3,0,0],[3,0],[1]] => [[4,1,0,0],[3,1,0],[2,0],[2]] => 13
[1,2,4,4,2] => [[1,2,2,4],[4]] => [[4,1,0,0],[3,0,0],[3,0],[1]] => [[4,1,0,0],[3,1,0],[2,0],[2]] => 13
[1,4,2,2,4] => [[1,2,2,4],[4]] => [[4,1,0,0],[3,0,0],[3,0],[1]] => [[4,1,0,0],[3,1,0],[2,0],[2]] => 13
[1,4,2,4,2] => [[1,2,2],[4,4]] => [[3,2,0,0],[3,0,0],[3,0],[1]] => [[3,2,0,0],[2,2,0],[2,0],[2]] => 13
[1,4,4,2,2] => [[1,2,2],[4,4]] => [[3,2,0,0],[3,0,0],[3,0],[1]] => [[3,2,0,0],[2,2,0],[2,0],[2]] => 13
[2,1,2,4,4] => [[1,2,4,4],[2]] => [[4,1,0,0],[2,1,0],[2,1],[1]] => [[4,1,0,0],[4,0,0],[2,0],[2]] => 13
[2,1,4,2,4] => [[1,2,4],[2,4]] => [[3,2,0,0],[2,1,0],[2,1],[1]] => [[3,2,0,0],[3,1,0],[2,0],[2]] => 13
[2,1,4,4,2] => [[1,2,4],[2,4]] => [[3,2,0,0],[2,1,0],[2,1],[1]] => [[3,2,0,0],[3,1,0],[2,0],[2]] => 13
[2,2,1,4,4] => [[1,2,4,4],[2]] => [[4,1,0,0],[2,1,0],[2,1],[1]] => [[4,1,0,0],[4,0,0],[2,0],[2]] => 13
[2,2,4,1,4] => [[1,2,4,4],[2]] => [[4,1,0,0],[2,1,0],[2,1],[1]] => [[4,1,0,0],[4,0,0],[2,0],[2]] => 13
[2,2,4,4,1] => [[1,2,4,4],[2]] => [[4,1,0,0],[2,1,0],[2,1],[1]] => [[4,1,0,0],[4,0,0],[2,0],[2]] => 13
[2,4,1,2,4] => [[1,2,4],[2,4]] => [[3,2,0,0],[2,1,0],[2,1],[1]] => [[3,2,0,0],[3,1,0],[2,0],[2]] => 13
[2,4,1,4,2] => [[1,2,4],[2,4]] => [[3,2,0,0],[2,1,0],[2,1],[1]] => [[3,2,0,0],[3,1,0],[2,0],[2]] => 13
[2,4,2,1,4] => [[1,2,4],[2],[4]] => [[3,1,1,0],[2,1,0],[2,1],[1]] => [[3,1,1,0],[3,1,0],[2,0],[2]] => 13
[2,4,2,4,1] => [[1,2,4],[2],[4]] => [[3,1,1,0],[2,1,0],[2,1],[1]] => [[3,1,1,0],[3,1,0],[2,0],[2]] => 13
[2,4,4,1,2] => [[1,2,4],[2,4]] => [[3,2,0,0],[2,1,0],[2,1],[1]] => [[3,2,0,0],[3,1,0],[2,0],[2]] => 13
[2,4,4,2,1] => [[1,2,4],[2],[4]] => [[3,1,1,0],[2,1,0],[2,1],[1]] => [[3,1,1,0],[3,1,0],[2,0],[2]] => 13
[4,1,2,2,4] => [[1,2,2,4],[4]] => [[4,1,0,0],[3,0,0],[3,0],[1]] => [[4,1,0,0],[3,1,0],[2,0],[2]] => 13
[4,1,2,4,2] => [[1,2,2],[4,4]] => [[3,2,0,0],[3,0,0],[3,0],[1]] => [[3,2,0,0],[2,2,0],[2,0],[2]] => 13
[4,1,4,2,2] => [[1,2,2],[4,4]] => [[3,2,0,0],[3,0,0],[3,0],[1]] => [[3,2,0,0],[2,2,0],[2,0],[2]] => 13
[4,2,1,2,4] => [[1,2,4],[2],[4]] => [[3,1,1,0],[2,1,0],[2,1],[1]] => [[3,1,1,0],[3,1,0],[2,0],[2]] => 13
[4,2,1,4,2] => [[1,2],[2,4],[4]] => [[2,2,1,0],[2,1,0],[2,1],[1]] => [[2,2,1,0],[2,2,0],[2,0],[2]] => 13
[4,2,2,1,4] => [[1,2,4],[2],[4]] => [[3,1,1,0],[2,1,0],[2,1],[1]] => [[3,1,1,0],[3,1,0],[2,0],[2]] => 13
[4,2,2,4,1] => [[1,2,4],[2],[4]] => [[3,1,1,0],[2,1,0],[2,1],[1]] => [[3,1,1,0],[3,1,0],[2,0],[2]] => 13
[4,2,4,1,2] => [[1,2],[2,4],[4]] => [[2,2,1,0],[2,1,0],[2,1],[1]] => [[2,2,1,0],[2,2,0],[2,0],[2]] => 13
[4,2,4,2,1] => [[1,2],[2,4],[4]] => [[2,2,1,0],[2,1,0],[2,1],[1]] => [[2,2,1,0],[2,2,0],[2,0],[2]] => 13
[4,4,1,2,2] => [[1,2,2],[4,4]] => [[3,2,0,0],[3,0,0],[3,0],[1]] => [[3,2,0,0],[2,2,0],[2,0],[2]] => 13
[4,4,2,1,2] => [[1,2],[2,4],[4]] => [[2,2,1,0],[2,1,0],[2,1],[1]] => [[2,2,1,0],[2,2,0],[2,0],[2]] => 13
[4,4,2,2,1] => [[1,2],[2,4],[4]] => [[2,2,1,0],[2,1,0],[2,1],[1]] => [[2,2,1,0],[2,2,0],[2,0],[2]] => 13
[1,2,3,3,3] => [[1,2,3,3,3]] => [[5,0,0],[2,0],[1]] => [[5,0,0],[4,0],[3]] => 12
[1,3,2,3,3] => [[1,2,3,3],[3]] => [[4,1,0],[2,0],[1]] => [[4,1,0],[3,1],[3]] => 12
[1,3,3,2,3] => [[1,2,3,3],[3]] => [[4,1,0],[2,0],[1]] => [[4,1,0],[3,1],[3]] => 12
[1,3,3,3,2] => [[1,2,3,3],[3]] => [[4,1,0],[2,0],[1]] => [[4,1,0],[3,1],[3]] => 12
[2,1,3,3,3] => [[1,3,3,3],[2]] => [[4,1,0],[1,1],[1]] => [[4,1,0],[4,0],[3]] => 12
[2,3,1,3,3] => [[1,3,3,3],[2]] => [[4,1,0],[1,1],[1]] => [[4,1,0],[4,0],[3]] => 12
[2,3,3,1,3] => [[1,3,3,3],[2]] => [[4,1,0],[1,1],[1]] => [[4,1,0],[4,0],[3]] => 12
[2,3,3,3,1] => [[1,3,3,3],[2]] => [[4,1,0],[1,1],[1]] => [[4,1,0],[4,0],[3]] => 12
[3,1,2,3,3] => [[1,2,3,3],[3]] => [[4,1,0],[2,0],[1]] => [[4,1,0],[3,1],[3]] => 12
[3,1,3,2,3] => [[1,2,3],[3,3]] => [[3,2,0],[2,0],[1]] => [[3,2,0],[3,1],[3]] => 12
[3,1,3,3,2] => [[1,2,3],[3,3]] => [[3,2,0],[2,0],[1]] => [[3,2,0],[3,1],[3]] => 12
[3,2,1,3,3] => [[1,3,3],[2],[3]] => [[3,1,1],[1,1],[1]] => [[3,1,1],[3,1],[3]] => 12
[3,2,3,1,3] => [[1,3,3],[2],[3]] => [[3,1,1],[1,1],[1]] => [[3,1,1],[3,1],[3]] => 12
[3,2,3,3,1] => [[1,3,3],[2],[3]] => [[3,1,1],[1,1],[1]] => [[3,1,1],[3,1],[3]] => 12
[3,3,1,2,3] => [[1,2,3],[3,3]] => [[3,2,0],[2,0],[1]] => [[3,2,0],[3,1],[3]] => 12
[3,3,1,3,2] => [[1,2,3],[3,3]] => [[3,2,0],[2,0],[1]] => [[3,2,0],[3,1],[3]] => 12
[3,3,2,1,3] => [[1,3,3],[2],[3]] => [[3,1,1],[1,1],[1]] => [[3,1,1],[3,1],[3]] => 12
[3,3,2,3,1] => [[1,3,3],[2],[3]] => [[3,1,1],[1,1],[1]] => [[3,1,1],[3,1],[3]] => 12
[3,3,3,1,2] => [[1,2,3],[3,3]] => [[3,2,0],[2,0],[1]] => [[3,2,0],[3,1],[3]] => 12
[3,3,3,2,1] => [[1,3,3],[2],[3]] => [[3,1,1],[1,1],[1]] => [[3,1,1],[3,1],[3]] => 12
[1,2,3,4,3] => [[1,2,3,3],[4]] => [[4,1,0,0],[4,0,0],[2,0],[1]] => [[4,1,0,0],[3,1,0],[2,1],[1]] => 13
[1,2,4,3,3] => [[1,2,3,3],[4]] => [[4,1,0,0],[4,0,0],[2,0],[1]] => [[4,1,0,0],[3,1,0],[2,1],[1]] => 13
[1,3,2,3,4] => [[1,2,3,4],[3]] => [[4,1,0,0],[3,1,0],[2,0],[1]] => [[4,1,0,0],[3,1,0],[3,0],[1]] => 13
[1,3,2,4,3] => [[1,2,3],[3,4]] => [[3,2,0,0],[3,1,0],[2,0],[1]] => [[3,2,0,0],[2,2,0],[2,1],[1]] => 13
[1,3,3,2,4] => [[1,2,3,4],[3]] => [[4,1,0,0],[3,1,0],[2,0],[1]] => [[4,1,0,0],[3,1,0],[3,0],[1]] => 13
[1,3,3,4,2] => [[1,2,3,4],[3]] => [[4,1,0,0],[3,1,0],[2,0],[1]] => [[4,1,0,0],[3,1,0],[3,0],[1]] => 13
[1,3,4,2,3] => [[1,2,3],[3,4]] => [[3,2,0,0],[3,1,0],[2,0],[1]] => [[3,2,0,0],[2,2,0],[2,1],[1]] => 13
[1,3,4,3,2] => [[1,2,3],[3],[4]] => [[3,1,1,0],[3,1,0],[2,0],[1]] => [[3,1,1,0],[2,1,1],[2,1],[1]] => 13
[1,4,2,3,3] => [[1,2,3,3],[4]] => [[4,1,0,0],[4,0,0],[2,0],[1]] => [[4,1,0,0],[3,1,0],[2,1],[1]] => 13
[1,4,3,2,3] => [[1,2,3],[3],[4]] => [[3,1,1,0],[3,1,0],[2,0],[1]] => [[3,1,1,0],[2,1,1],[2,1],[1]] => 13
[1,4,3,3,2] => [[1,2,3],[3],[4]] => [[3,1,1,0],[3,1,0],[2,0],[1]] => [[3,1,1,0],[2,1,1],[2,1],[1]] => 13
[2,1,3,3,4] => [[1,3,3,4],[2]] => [[4,1,0,0],[3,1,0],[1,1],[1]] => [[4,1,0,0],[4,0,0],[3,0],[1]] => 13
[2,1,3,4,3] => [[1,3,3],[2,4]] => [[3,2,0,0],[3,1,0],[1,1],[1]] => [[3,2,0,0],[3,1,0],[2,1],[1]] => 13
[2,1,4,3,3] => [[1,3,3],[2,4]] => [[3,2,0,0],[3,1,0],[1,1],[1]] => [[3,2,0,0],[3,1,0],[2,1],[1]] => 13
[2,3,1,3,4] => [[1,3,3,4],[2]] => [[4,1,0,0],[3,1,0],[1,1],[1]] => [[4,1,0,0],[4,0,0],[3,0],[1]] => 13
[2,3,1,4,3] => [[1,3,3],[2,4]] => [[3,2,0,0],[3,1,0],[1,1],[1]] => [[3,2,0,0],[3,1,0],[2,1],[1]] => 13
[2,3,3,1,4] => [[1,3,3,4],[2]] => [[4,1,0,0],[3,1,0],[1,1],[1]] => [[4,1,0,0],[4,0,0],[3,0],[1]] => 13
[2,3,3,4,1] => [[1,3,3,4],[2]] => [[4,1,0,0],[3,1,0],[1,1],[1]] => [[4,1,0,0],[4,0,0],[3,0],[1]] => 13
[2,3,4,1,3] => [[1,3,3],[2,4]] => [[3,2,0,0],[3,1,0],[1,1],[1]] => [[3,2,0,0],[3,1,0],[2,1],[1]] => 13
[2,3,4,3,1] => [[1,3,3],[2],[4]] => [[3,1,1,0],[3,1,0],[1,1],[1]] => [[3,1,1,0],[3,1,0],[2,1],[1]] => 13
[2,4,1,3,3] => [[1,3,3],[2,4]] => [[3,2,0,0],[3,1,0],[1,1],[1]] => [[3,2,0,0],[3,1,0],[2,1],[1]] => 13
[2,4,3,1,3] => [[1,3,3],[2],[4]] => [[3,1,1,0],[3,1,0],[1,1],[1]] => [[3,1,1,0],[3,1,0],[2,1],[1]] => 13
[2,4,3,3,1] => [[1,3,3],[2],[4]] => [[3,1,1,0],[3,1,0],[1,1],[1]] => [[3,1,1,0],[3,1,0],[2,1],[1]] => 13
[3,1,2,3,4] => [[1,2,3,4],[3]] => [[4,1,0,0],[3,1,0],[2,0],[1]] => [[4,1,0,0],[3,1,0],[3,0],[1]] => 13
[3,1,2,4,3] => [[1,2,3],[3,4]] => [[3,2,0,0],[3,1,0],[2,0],[1]] => [[3,2,0,0],[2,2,0],[2,1],[1]] => 13
[3,1,3,2,4] => [[1,2,4],[3,3]] => [[3,2,0,0],[2,2,0],[2,0],[1]] => [[3,2,0,0],[3,1,0],[3,0],[1]] => 13
[3,1,3,4,2] => [[1,2,4],[3,3]] => [[3,2,0,0],[2,2,0],[2,0],[1]] => [[3,2,0,0],[3,1,0],[3,0],[1]] => 13
[3,1,4,2,3] => [[1,2,3],[3,4]] => [[3,2,0,0],[3,1,0],[2,0],[1]] => [[3,2,0,0],[2,2,0],[2,1],[1]] => 13
[3,1,4,3,2] => [[1,2],[3,3],[4]] => [[2,2,1,0],[2,2,0],[2,0],[1]] => [[2,2,1,0],[2,1,1],[2,1],[1]] => 13
[3,2,1,3,4] => [[1,3,4],[2],[3]] => [[3,1,1,0],[2,1,1],[1,1],[1]] => [[3,1,1,0],[3,1,0],[3,0],[1]] => 13
[3,2,1,4,3] => [[1,3],[2,4],[3]] => [[2,2,1,0],[2,1,1],[1,1],[1]] => [[2,2,1,0],[2,2,0],[2,1],[1]] => 13
[3,2,3,1,4] => [[1,3,4],[2],[3]] => [[3,1,1,0],[2,1,1],[1,1],[1]] => [[3,1,1,0],[3,1,0],[3,0],[1]] => 13
[3,2,3,4,1] => [[1,3,4],[2],[3]] => [[3,1,1,0],[2,1,1],[1,1],[1]] => [[3,1,1,0],[3,1,0],[3,0],[1]] => 13
[3,2,4,1,3] => [[1,3],[2,4],[3]] => [[2,2,1,0],[2,1,1],[1,1],[1]] => [[2,2,1,0],[2,2,0],[2,1],[1]] => 13
[3,2,4,3,1] => [[1,3],[2,4],[3]] => [[2,2,1,0],[2,1,1],[1,1],[1]] => [[2,2,1,0],[2,2,0],[2,1],[1]] => 13
[3,3,1,2,4] => [[1,2,4],[3,3]] => [[3,2,0,0],[2,2,0],[2,0],[1]] => [[3,2,0,0],[3,1,0],[3,0],[1]] => 13
[3,3,1,4,2] => [[1,2,4],[3,3]] => [[3,2,0,0],[2,2,0],[2,0],[1]] => [[3,2,0,0],[3,1,0],[3,0],[1]] => 13
[3,3,2,1,4] => [[1,3,4],[2],[3]] => [[3,1,1,0],[2,1,1],[1,1],[1]] => [[3,1,1,0],[3,1,0],[3,0],[1]] => 13
[3,3,2,4,1] => [[1,3,4],[2],[3]] => [[3,1,1,0],[2,1,1],[1,1],[1]] => [[3,1,1,0],[3,1,0],[3,0],[1]] => 13
[3,3,4,1,2] => [[1,2,4],[3,3]] => [[3,2,0,0],[2,2,0],[2,0],[1]] => [[3,2,0,0],[3,1,0],[3,0],[1]] => 13
[3,3,4,2,1] => [[1,3,4],[2],[3]] => [[3,1,1,0],[2,1,1],[1,1],[1]] => [[3,1,1,0],[3,1,0],[3,0],[1]] => 13
[3,4,1,2,3] => [[1,2,3],[3,4]] => [[3,2,0,0],[3,1,0],[2,0],[1]] => [[3,2,0,0],[2,2,0],[2,1],[1]] => 13
[3,4,1,3,2] => [[1,2],[3,3],[4]] => [[2,2,1,0],[2,2,0],[2,0],[1]] => [[2,2,1,0],[2,1,1],[2,1],[1]] => 13
[3,4,2,1,3] => [[1,3],[2,4],[3]] => [[2,2,1,0],[2,1,1],[1,1],[1]] => [[2,2,1,0],[2,2,0],[2,1],[1]] => 13
[3,4,2,3,1] => [[1,3],[2,4],[3]] => [[2,2,1,0],[2,1,1],[1,1],[1]] => [[2,2,1,0],[2,2,0],[2,1],[1]] => 13
[3,4,3,1,2] => [[1,2],[3,3],[4]] => [[2,2,1,0],[2,2,0],[2,0],[1]] => [[2,2,1,0],[2,1,1],[2,1],[1]] => 13
[3,4,3,2,1] => [[1,3],[2],[3],[4]] => [[2,1,1,1],[2,1,1],[1,1],[1]] => [[2,1,1,1],[2,1,1],[2,1],[1]] => 13
[4,1,2,3,3] => [[1,2,3,3],[4]] => [[4,1,0,0],[4,0,0],[2,0],[1]] => [[4,1,0,0],[3,1,0],[2,1],[1]] => 13
[4,1,3,2,3] => [[1,2,3],[3],[4]] => [[3,1,1,0],[3,1,0],[2,0],[1]] => [[3,1,1,0],[2,1,1],[2,1],[1]] => 13
[4,1,3,3,2] => [[1,2,3],[3],[4]] => [[3,1,1,0],[3,1,0],[2,0],[1]] => [[3,1,1,0],[2,1,1],[2,1],[1]] => 13
[4,2,1,3,3] => [[1,3,3],[2],[4]] => [[3,1,1,0],[3,1,0],[1,1],[1]] => [[3,1,1,0],[3,1,0],[2,1],[1]] => 13
[4,2,3,1,3] => [[1,3,3],[2],[4]] => [[3,1,1,0],[3,1,0],[1,1],[1]] => [[3,1,1,0],[3,1,0],[2,1],[1]] => 13
[4,2,3,3,1] => [[1,3,3],[2],[4]] => [[3,1,1,0],[3,1,0],[1,1],[1]] => [[3,1,1,0],[3,1,0],[2,1],[1]] => 13
[4,3,1,2,3] => [[1,2,3],[3],[4]] => [[3,1,1,0],[3,1,0],[2,0],[1]] => [[3,1,1,0],[2,1,1],[2,1],[1]] => 13
[4,3,1,3,2] => [[1,2],[3,3],[4]] => [[2,2,1,0],[2,2,0],[2,0],[1]] => [[2,2,1,0],[2,1,1],[2,1],[1]] => 13
[4,3,2,1,3] => [[1,3],[2],[3],[4]] => [[2,1,1,1],[2,1,1],[1,1],[1]] => [[2,1,1,1],[2,1,1],[2,1],[1]] => 13
[4,3,2,3,1] => [[1,3],[2],[3],[4]] => [[2,1,1,1],[2,1,1],[1,1],[1]] => [[2,1,1,1],[2,1,1],[2,1],[1]] => 13
[4,3,3,1,2] => [[1,2],[3,3],[4]] => [[2,2,1,0],[2,2,0],[2,0],[1]] => [[2,2,1,0],[2,1,1],[2,1],[1]] => 13
[4,3,3,2,1] => [[1,3],[2],[3],[4]] => [[2,1,1,1],[2,1,1],[1,1],[1]] => [[2,1,1,1],[2,1,1],[2,1],[1]] => 13
[1,2,4,3,4] => [[1,2,3,4],[4]] => [[4,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,0,0],[3,1,0],[2,1],[2]] => 14
[1,2,4,4,3] => [[1,2,3,4],[4]] => [[4,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,0,0],[3,1,0],[2,1],[2]] => 14
[1,3,2,4,4] => [[1,2,4,4],[3]] => [[4,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,0,0],[3,1,0],[3,0],[2]] => 14
[1,3,4,2,4] => [[1,2,4,4],[3]] => [[4,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,0,0],[3,1,0],[3,0],[2]] => 14
[1,3,4,4,2] => [[1,2,4,4],[3]] => [[4,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,0,0],[3,1,0],[3,0],[2]] => 14
[1,4,2,3,4] => [[1,2,3,4],[4]] => [[4,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,0,0],[3,1,0],[2,1],[2]] => 14
[1,4,2,4,3] => [[1,2,3],[4,4]] => [[3,2,0,0],[3,0,0],[2,0],[1]] => [[3,2,0,0],[2,2,0],[2,1],[2]] => 14
[1,4,3,2,4] => [[1,2,4],[3],[4]] => [[3,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,0],[2,1,1],[2,1],[2]] => 14
[1,4,3,4,2] => [[1,2,4],[3],[4]] => [[3,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,0],[2,1,1],[2,1],[2]] => 14
[1,4,4,2,3] => [[1,2,3],[4,4]] => [[3,2,0,0],[3,0,0],[2,0],[1]] => [[3,2,0,0],[2,2,0],[2,1],[2]] => 14
[1,4,4,3,2] => [[1,2,4],[3],[4]] => [[3,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,0],[2,1,1],[2,1],[2]] => 14
[2,1,3,4,4] => [[1,3,4,4],[2]] => [[4,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,0,0],[4,0,0],[3,0],[2]] => 14
[2,1,4,3,4] => [[1,3,4],[2,4]] => [[3,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,0,0],[3,1,0],[2,1],[2]] => 14
[2,1,4,4,3] => [[1,3,4],[2,4]] => [[3,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,0,0],[3,1,0],[2,1],[2]] => 14
[2,3,1,4,4] => [[1,3,4,4],[2]] => [[4,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,0,0],[4,0,0],[3,0],[2]] => 14
[2,3,4,1,4] => [[1,3,4,4],[2]] => [[4,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,0,0],[4,0,0],[3,0],[2]] => 14
[2,3,4,4,1] => [[1,3,4,4],[2]] => [[4,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,0,0],[4,0,0],[3,0],[2]] => 14
[2,4,1,3,4] => [[1,3,4],[2,4]] => [[3,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,0,0],[3,1,0],[2,1],[2]] => 14
[2,4,1,4,3] => [[1,3,4],[2,4]] => [[3,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,0,0],[3,1,0],[2,1],[2]] => 14
[2,4,3,1,4] => [[1,3,4],[2],[4]] => [[3,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,0],[3,1,0],[2,1],[2]] => 14
[2,4,3,4,1] => [[1,3,4],[2],[4]] => [[3,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,0],[3,1,0],[2,1],[2]] => 14
[2,4,4,1,3] => [[1,3,4],[2,4]] => [[3,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,0,0],[3,1,0],[2,1],[2]] => 14
[2,4,4,3,1] => [[1,3,4],[2],[4]] => [[3,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,0],[3,1,0],[2,1],[2]] => 14
[3,1,2,4,4] => [[1,2,4,4],[3]] => [[4,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,0,0],[3,1,0],[3,0],[2]] => 14
[3,1,4,2,4] => [[1,2,4],[3,4]] => [[3,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,0,0],[3,1,0],[3,0],[2]] => 14
[3,1,4,4,2] => [[1,2,4],[3,4]] => [[3,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,0,0],[3,1,0],[3,0],[2]] => 14
[3,2,1,4,4] => [[1,4,4],[2],[3]] => [[3,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,0],[3,1,0],[3,0],[2]] => 14
[3,2,4,1,4] => [[1,4,4],[2],[3]] => [[3,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,0],[3,1,0],[3,0],[2]] => 14
[3,2,4,4,1] => [[1,4,4],[2],[3]] => [[3,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,0],[3,1,0],[3,0],[2]] => 14
[3,4,1,2,4] => [[1,2,4],[3,4]] => [[3,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,0,0],[3,1,0],[3,0],[2]] => 14
[3,4,1,4,2] => [[1,2,4],[3,4]] => [[3,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,0,0],[3,1,0],[3,0],[2]] => 14
[3,4,2,1,4] => [[1,4,4],[2],[3]] => [[3,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,0],[3,1,0],[3,0],[2]] => 14
[3,4,2,4,1] => [[1,4,4],[2],[3]] => [[3,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,0],[3,1,0],[3,0],[2]] => 14
[3,4,4,1,2] => [[1,2,4],[3,4]] => [[3,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,0,0],[3,1,0],[3,0],[2]] => 14
[3,4,4,2,1] => [[1,4,4],[2],[3]] => [[3,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,0],[3,1,0],[3,0],[2]] => 14
[4,1,2,3,4] => [[1,2,3,4],[4]] => [[4,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,0,0],[3,1,0],[2,1],[2]] => 14
[4,1,2,4,3] => [[1,2,3],[4,4]] => [[3,2,0,0],[3,0,0],[2,0],[1]] => [[3,2,0,0],[2,2,0],[2,1],[2]] => 14
[4,1,3,2,4] => [[1,2,4],[3],[4]] => [[3,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,0],[2,1,1],[2,1],[2]] => 14
[4,1,3,4,2] => [[1,2,4],[3],[4]] => [[3,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,0],[2,1,1],[2,1],[2]] => 14
[4,1,4,2,3] => [[1,2,3],[4,4]] => [[3,2,0,0],[3,0,0],[2,0],[1]] => [[3,2,0,0],[2,2,0],[2,1],[2]] => 14
[4,1,4,3,2] => [[1,2],[3,4],[4]] => [[2,2,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,0],[2,1,1],[2,1],[2]] => 14
[4,2,1,3,4] => [[1,3,4],[2],[4]] => [[3,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,0],[3,1,0],[2,1],[2]] => 14
[4,2,1,4,3] => [[1,3],[2,4],[4]] => [[2,2,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,0],[2,2,0],[2,1],[2]] => 14
[4,2,3,1,4] => [[1,3,4],[2],[4]] => [[3,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,0],[3,1,0],[2,1],[2]] => 14
[4,2,3,4,1] => [[1,3,4],[2],[4]] => [[3,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,0],[3,1,0],[2,1],[2]] => 14
[4,2,4,1,3] => [[1,3],[2,4],[4]] => [[2,2,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,0],[2,2,0],[2,1],[2]] => 14
[4,2,4,3,1] => [[1,3],[2,4],[4]] => [[2,2,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,0],[2,2,0],[2,1],[2]] => 14
[4,3,1,2,4] => [[1,2,4],[3],[4]] => [[3,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,0],[2,1,1],[2,1],[2]] => 14
[4,3,1,4,2] => [[1,2],[3,4],[4]] => [[2,2,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,0],[2,1,1],[2,1],[2]] => 14
[4,3,2,1,4] => [[1,4],[2],[3],[4]] => [[2,1,1,1],[1,1,1],[1,1],[1]] => [[2,1,1,1],[2,1,1],[2,1],[2]] => 14
[4,3,2,4,1] => [[1,4],[2],[3],[4]] => [[2,1,1,1],[1,1,1],[1,1],[1]] => [[2,1,1,1],[2,1,1],[2,1],[2]] => 14
[4,3,4,1,2] => [[1,2],[3,4],[4]] => [[2,2,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,0],[2,1,1],[2,1],[2]] => 14
[4,3,4,2,1] => [[1,4],[2],[3],[4]] => [[2,1,1,1],[1,1,1],[1,1],[1]] => [[2,1,1,1],[2,1,1],[2,1],[2]] => 14
[4,4,1,2,3] => [[1,2,3],[4,4]] => [[3,2,0,0],[3,0,0],[2,0],[1]] => [[3,2,0,0],[2,2,0],[2,1],[2]] => 14
[4,4,1,3,2] => [[1,2],[3,4],[4]] => [[2,2,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,0],[2,1,1],[2,1],[2]] => 14
[4,4,2,1,3] => [[1,3],[2,4],[4]] => [[2,2,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,0],[2,2,0],[2,1],[2]] => 14
[4,4,2,3,1] => [[1,3],[2,4],[4]] => [[2,2,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,0],[2,2,0],[2,1],[2]] => 14
[4,4,3,1,2] => [[1,2],[3,4],[4]] => [[2,2,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,0],[2,1,1],[2,1],[2]] => 14
[4,4,3,2,1] => [[1,4],[2],[3],[4]] => [[2,1,1,1],[1,1,1],[1,1],[1]] => [[2,1,1,1],[2,1,1],[2,1],[2]] => 14
[1,2,3,4,5] => [[1,2,3,4,5]] => [[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 15
[1,2,3,5,4] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 15
[1,2,4,3,5] => [[1,2,3,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 15
[1,2,4,5,3] => [[1,2,3,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 15
[1,2,5,3,4] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 15
[1,2,5,4,3] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 15
[1,3,2,4,5] => [[1,2,4,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 15
[1,3,2,5,4] => [[1,2,4],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 15
[1,3,4,2,5] => [[1,2,4,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 15
[1,3,4,5,2] => [[1,2,4,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 15
[1,3,5,2,4] => [[1,2,4],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 15
[1,3,5,4,2] => [[1,2,4],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 15
[1,4,2,3,5] => [[1,2,3,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 15
[1,4,2,5,3] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 15
[1,4,3,2,5] => [[1,2,5],[3],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 15
[1,4,3,5,2] => [[1,2,5],[3],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 15
[1,4,5,2,3] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 15
[1,4,5,3,2] => [[1,2,5],[3],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 15
[1,5,2,3,4] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 15
[1,5,2,4,3] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 15
[1,5,3,2,4] => [[1,2,4],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 15
[1,5,3,4,2] => [[1,2,4],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 15
[1,5,4,2,3] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 15
[1,5,4,3,2] => [[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 15
[2,1,3,4,5] => [[1,3,4,5],[2]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 15
[2,1,3,5,4] => [[1,3,4],[2,5]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 15
[2,1,4,3,5] => [[1,3,5],[2,4]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 15
[2,1,4,5,3] => [[1,3,5],[2,4]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 15
[2,1,5,3,4] => [[1,3,4],[2,5]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 15
[2,1,5,4,3] => [[1,3],[2,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 15
[2,3,1,4,5] => [[1,3,4,5],[2]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 15
[2,3,1,5,4] => [[1,3,4],[2,5]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 15
[2,3,4,1,5] => [[1,3,4,5],[2]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 15
[2,3,4,5,1] => [[1,3,4,5],[2]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 15
[2,3,5,1,4] => [[1,3,4],[2,5]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 15
[2,3,5,4,1] => [[1,3,4],[2],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 15
[2,4,1,3,5] => [[1,3,5],[2,4]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 15
[2,4,1,5,3] => [[1,3,5],[2,4]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 15
[2,4,3,1,5] => [[1,3,5],[2],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 15
[2,4,3,5,1] => [[1,3,5],[2],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 15
[2,4,5,1,3] => [[1,3,5],[2,4]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 15
[2,4,5,3,1] => [[1,3,5],[2],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 15
[2,5,1,3,4] => [[1,3,4],[2,5]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 15
[2,5,1,4,3] => [[1,3],[2,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 15
[2,5,3,1,4] => [[1,3,4],[2],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 15
[2,5,3,4,1] => [[1,3,4],[2],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 15
[2,5,4,1,3] => [[1,3],[2,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 15
[2,5,4,3,1] => [[1,3],[2],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 15
[3,1,2,4,5] => [[1,2,4,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 15
[3,1,2,5,4] => [[1,2,4],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 15
[3,1,4,2,5] => [[1,2,5],[3,4]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 15
[3,1,4,5,2] => [[1,2,5],[3,4]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 15
[3,1,5,2,4] => [[1,2,4],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 15
[3,1,5,4,2] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 15
[3,2,1,4,5] => [[1,4,5],[2],[3]] => [[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 15
[3,2,1,5,4] => [[1,4],[2,5],[3]] => [[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 15
[3,2,4,1,5] => [[1,4,5],[2],[3]] => [[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 15
[3,2,4,5,1] => [[1,4,5],[2],[3]] => [[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 15
[3,2,5,1,4] => [[1,4],[2,5],[3]] => [[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 15
[3,2,5,4,1] => [[1,4],[2,5],[3]] => [[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 15
[3,4,1,2,5] => [[1,2,5],[3,4]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 15
[3,4,1,5,2] => [[1,2,5],[3,4]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 15
[3,4,2,1,5] => [[1,4,5],[2],[3]] => [[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 15
[3,4,2,5,1] => [[1,4,5],[2],[3]] => [[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 15
[3,4,5,1,2] => [[1,2,5],[3,4]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 15
[3,4,5,2,1] => [[1,4,5],[2],[3]] => [[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 15
[3,5,1,2,4] => [[1,2,4],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 15
[3,5,1,4,2] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 15
[3,5,2,1,4] => [[1,4],[2,5],[3]] => [[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 15
[3,5,2,4,1] => [[1,4],[2,5],[3]] => [[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 15
[3,5,4,1,2] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 15
[3,5,4,2,1] => [[1,4],[2],[3],[5]] => [[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 15
[4,1,2,3,5] => [[1,2,3,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 15
[4,1,2,5,3] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 15
[4,1,3,2,5] => [[1,2,5],[3],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 15
[4,1,3,5,2] => [[1,2,5],[3],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 15
[4,1,5,2,3] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 15
[4,1,5,3,2] => [[1,2],[3,5],[4]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 15
[4,2,1,3,5] => [[1,3,5],[2],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 15
[4,2,1,5,3] => [[1,3],[2,5],[4]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 15
[4,2,3,1,5] => [[1,3,5],[2],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 15
[4,2,3,5,1] => [[1,3,5],[2],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 15
[4,2,5,1,3] => [[1,3],[2,5],[4]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 15
[4,2,5,3,1] => [[1,3],[2,5],[4]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 15
[4,3,1,2,5] => [[1,2,5],[3],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 15
[4,3,1,5,2] => [[1,2],[3,5],[4]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 15
[4,3,2,1,5] => [[1,5],[2],[3],[4]] => [[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 15
[4,3,2,5,1] => [[1,5],[2],[3],[4]] => [[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 15
[4,3,5,1,2] => [[1,2],[3,5],[4]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 15
[4,3,5,2,1] => [[1,5],[2],[3],[4]] => [[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 15
[4,5,1,2,3] => [[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 15
[4,5,1,3,2] => [[1,2],[3,5],[4]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 15
[4,5,2,1,3] => [[1,3],[2,5],[4]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 15
[4,5,2,3,1] => [[1,3],[2,5],[4]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 15
[4,5,3,1,2] => [[1,2],[3,5],[4]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 15
[4,5,3,2,1] => [[1,5],[2],[3],[4]] => [[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 15
[5,1,2,3,4] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 15
[5,1,2,4,3] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 15
[5,1,3,2,4] => [[1,2,4],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 15
[5,1,3,4,2] => [[1,2,4],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 15
[5,1,4,2,3] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 15
[5,1,4,3,2] => [[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 15
[5,2,1,3,4] => [[1,3,4],[2],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 15
[5,2,1,4,3] => [[1,3],[2,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 15
[5,2,3,1,4] => [[1,3,4],[2],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 15
[5,2,3,4,1] => [[1,3,4],[2],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 15
[5,2,4,1,3] => [[1,3],[2,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 15
[5,2,4,3,1] => [[1,3],[2],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 15
[5,3,1,2,4] => [[1,2,4],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 15
[5,3,1,4,2] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 15
[5,3,2,1,4] => [[1,4],[2],[3],[5]] => [[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 15
[5,3,2,4,1] => [[1,4],[2],[3],[5]] => [[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 15
[5,3,4,1,2] => [[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 15
[5,3,4,2,1] => [[1,4],[2],[3],[5]] => [[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 15
[5,4,1,2,3] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 15
[5,4,1,3,2] => [[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 15
[5,4,2,1,3] => [[1,3],[2],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 15
[5,4,2,3,1] => [[1,3],[2],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 15
[5,4,3,1,2] => [[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 15
[5,4,3,2,1] => [[1],[2],[3],[4],[5]] => [[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => [[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 15
[1,1,1,1,1,2] => [[1,1,1,1,1,2]] => [[6,0],[5]] => [[6,0],[1]] => 7
[1,1,1,1,2,1] => [[1,1,1,1,1],[2]] => [[5,1],[5]] => [[5,1],[1]] => 7
[1,1,1,2,1,1] => [[1,1,1,1,1],[2]] => [[5,1],[5]] => [[5,1],[1]] => 7
[1,1,2,1,1,1] => [[1,1,1,1,1],[2]] => [[5,1],[5]] => [[5,1],[1]] => 7
[1,2,1,1,1,1] => [[1,1,1,1,1],[2]] => [[5,1],[5]] => [[5,1],[1]] => 7
[2,1,1,1,1,1] => [[1,1,1,1,1],[2]] => [[5,1],[5]] => [[5,1],[1]] => 7
[1,1,1,1,2,2] => [[1,1,1,1,2,2]] => [[6,0],[4]] => [[6,0],[2]] => 8
[1,1,1,2,1,2] => [[1,1,1,1,2],[2]] => [[5,1],[4]] => [[5,1],[2]] => 8
[1,1,1,2,2,1] => [[1,1,1,1,2],[2]] => [[5,1],[4]] => [[5,1],[2]] => 8
[1,1,2,1,1,2] => [[1,1,1,1,2],[2]] => [[5,1],[4]] => [[5,1],[2]] => 8
[1,1,2,1,2,1] => [[1,1,1,1],[2,2]] => [[4,2],[4]] => [[4,2],[2]] => 8
[1,1,2,2,1,1] => [[1,1,1,1],[2,2]] => [[4,2],[4]] => [[4,2],[2]] => 8
[1,2,1,1,1,2] => [[1,1,1,1,2],[2]] => [[5,1],[4]] => [[5,1],[2]] => 8
[1,2,1,1,2,1] => [[1,1,1,1],[2,2]] => [[4,2],[4]] => [[4,2],[2]] => 8
[1,2,1,2,1,1] => [[1,1,1,1],[2,2]] => [[4,2],[4]] => [[4,2],[2]] => 8
[1,2,2,1,1,1] => [[1,1,1,1],[2,2]] => [[4,2],[4]] => [[4,2],[2]] => 8
[2,1,1,1,1,2] => [[1,1,1,1,2],[2]] => [[5,1],[4]] => [[5,1],[2]] => 8
[2,1,1,1,2,1] => [[1,1,1,1],[2,2]] => [[4,2],[4]] => [[4,2],[2]] => 8
[2,1,1,2,1,1] => [[1,1,1,1],[2,2]] => [[4,2],[4]] => [[4,2],[2]] => 8
[2,1,2,1,1,1] => [[1,1,1,1],[2,2]] => [[4,2],[4]] => [[4,2],[2]] => 8
[2,2,1,1,1,1] => [[1,1,1,1],[2,2]] => [[4,2],[4]] => [[4,2],[2]] => 8
[1,1,1,2,2,2] => [[1,1,1,2,2,2]] => [[6,0],[3]] => [[6,0],[3]] => 9
[1,1,2,1,2,2] => [[1,1,1,2,2],[2]] => [[5,1],[3]] => [[5,1],[3]] => 9
[1,1,2,2,1,2] => [[1,1,1,2,2],[2]] => [[5,1],[3]] => [[5,1],[3]] => 9
[1,1,2,2,2,1] => [[1,1,1,2,2],[2]] => [[5,1],[3]] => [[5,1],[3]] => 9
[1,2,1,1,2,2] => [[1,1,1,2,2],[2]] => [[5,1],[3]] => [[5,1],[3]] => 9
[1,2,1,2,1,2] => [[1,1,1,2],[2,2]] => [[4,2],[3]] => [[4,2],[3]] => 9
[1,2,1,2,2,1] => [[1,1,1,2],[2,2]] => [[4,2],[3]] => [[4,2],[3]] => 9
[1,2,2,1,1,2] => [[1,1,1,2],[2,2]] => [[4,2],[3]] => [[4,2],[3]] => 9
[1,2,2,1,2,1] => [[1,1,1,2],[2,2]] => [[4,2],[3]] => [[4,2],[3]] => 9
[1,2,2,2,1,1] => [[1,1,1,2],[2,2]] => [[4,2],[3]] => [[4,2],[3]] => 9
[2,1,1,1,2,2] => [[1,1,1,2,2],[2]] => [[5,1],[3]] => [[5,1],[3]] => 9
[2,1,1,2,1,2] => [[1,1,1,2],[2,2]] => [[4,2],[3]] => [[4,2],[3]] => 9
[2,1,1,2,2,1] => [[1,1,1,2],[2,2]] => [[4,2],[3]] => [[4,2],[3]] => 9
[2,1,2,1,1,2] => [[1,1,1,2],[2,2]] => [[4,2],[3]] => [[4,2],[3]] => 9
[2,1,2,1,2,1] => [[1,1,1],[2,2,2]] => [[3,3],[3]] => [[3,3],[3]] => 9
[2,1,2,2,1,1] => [[1,1,1],[2,2,2]] => [[3,3],[3]] => [[3,3],[3]] => 9
[2,2,1,1,1,2] => [[1,1,1,2],[2,2]] => [[4,2],[3]] => [[4,2],[3]] => 9
[2,2,1,1,2,1] => [[1,1,1],[2,2,2]] => [[3,3],[3]] => [[3,3],[3]] => 9
[2,2,1,2,1,1] => [[1,1,1],[2,2,2]] => [[3,3],[3]] => [[3,3],[3]] => 9
[2,2,2,1,1,1] => [[1,1,1],[2,2,2]] => [[3,3],[3]] => [[3,3],[3]] => 9
[1,2,1,3,2,1] => [[1,1,1],[2,2],[3]] => [[3,2,1],[3,2],[3]] => [[3,2,1],[2,1],[1]] => 10
[1,2,3,1,2,1] => [[1,1,1],[2,2],[3]] => [[3,2,1],[3,2],[3]] => [[3,2,1],[2,1],[1]] => 10
[1,2,3,2,1,1] => [[1,1,1],[2,2],[3]] => [[3,2,1],[3,2],[3]] => [[3,2,1],[2,1],[1]] => 10
[1,3,2,1,2,1] => [[1,1,1],[2,2],[3]] => [[3,2,1],[3,2],[3]] => [[3,2,1],[2,1],[1]] => 10
[1,3,2,2,1,1] => [[1,1,1],[2,2],[3]] => [[3,2,1],[3,2],[3]] => [[3,2,1],[2,1],[1]] => 10
[2,1,1,3,2,1] => [[1,1,1],[2,2],[3]] => [[3,2,1],[3,2],[3]] => [[3,2,1],[2,1],[1]] => 10
[2,1,2,1,3,1] => [[1,1,1],[2,2,3]] => [[3,3,0],[3,2],[3]] => [[3,3,0],[3,0],[1]] => 10
[2,1,2,3,1,1] => [[1,1,1],[2,2,3]] => [[3,3,0],[3,2],[3]] => [[3,3,0],[3,0],[1]] => 10
[2,1,3,1,2,1] => [[1,1,1],[2,2],[3]] => [[3,2,1],[3,2],[3]] => [[3,2,1],[2,1],[1]] => 10
[2,1,3,2,1,1] => [[1,1,1],[2,2],[3]] => [[3,2,1],[3,2],[3]] => [[3,2,1],[2,1],[1]] => 10
[2,2,1,1,3,1] => [[1,1,1],[2,2,3]] => [[3,3,0],[3,2],[3]] => [[3,3,0],[3,0],[1]] => 10
[2,2,1,3,1,1] => [[1,1,1],[2,2,3]] => [[3,3,0],[3,2],[3]] => [[3,3,0],[3,0],[1]] => 10
[2,2,3,1,1,1] => [[1,1,1],[2,2,3]] => [[3,3,0],[3,2],[3]] => [[3,3,0],[3,0],[1]] => 10
[2,3,1,1,2,1] => [[1,1,1],[2,2],[3]] => [[3,2,1],[3,2],[3]] => [[3,2,1],[2,1],[1]] => 10
[2,3,1,2,1,1] => [[1,1,1],[2,2],[3]] => [[3,2,1],[3,2],[3]] => [[3,2,1],[2,1],[1]] => 10
[2,3,2,1,1,1] => [[1,1,1],[2,2],[3]] => [[3,2,1],[3,2],[3]] => [[3,2,1],[2,1],[1]] => 10
[3,1,2,1,2,1] => [[1,1,1],[2,2],[3]] => [[3,2,1],[3,2],[3]] => [[3,2,1],[2,1],[1]] => 10
[3,1,2,2,1,1] => [[1,1,1],[2,2],[3]] => [[3,2,1],[3,2],[3]] => [[3,2,1],[2,1],[1]] => 10
[3,2,1,1,2,1] => [[1,1,1],[2,2],[3]] => [[3,2,1],[3,2],[3]] => [[3,2,1],[2,1],[1]] => 10
[3,2,1,2,1,1] => [[1,1,1],[2,2],[3]] => [[3,2,1],[3,2],[3]] => [[3,2,1],[2,1],[1]] => 10
[3,2,2,1,1,1] => [[1,1,1],[2,2],[3]] => [[3,2,1],[3,2],[3]] => [[3,2,1],[2,1],[1]] => 10
[1,3,1,3,2,1] => [[1,1,1],[2,3],[3]] => [[3,2,1],[3,1],[3]] => [[3,2,1],[2,1],[2]] => 11
[1,3,2,1,3,1] => [[1,1,1],[2,3],[3]] => [[3,2,1],[3,1],[3]] => [[3,2,1],[2,1],[2]] => 11
[1,3,2,3,1,1] => [[1,1,1],[2,3],[3]] => [[3,2,1],[3,1],[3]] => [[3,2,1],[2,1],[2]] => 11
[1,3,3,1,2,1] => [[1,1,1],[2,3],[3]] => [[3,2,1],[3,1],[3]] => [[3,2,1],[2,1],[2]] => 11
[1,3,3,2,1,1] => [[1,1,1],[2,3],[3]] => [[3,2,1],[3,1],[3]] => [[3,2,1],[2,1],[2]] => 11
[2,1,3,1,3,1] => [[1,1,1],[2,3,3]] => [[3,3,0],[3,1],[3]] => [[3,3,0],[3,0],[2]] => 11
[2,1,3,3,1,1] => [[1,1,1],[2,3,3]] => [[3,3,0],[3,1],[3]] => [[3,3,0],[3,0],[2]] => 11
[2,3,1,1,3,1] => [[1,1,1],[2,3,3]] => [[3,3,0],[3,1],[3]] => [[3,3,0],[3,0],[2]] => 11
[2,3,1,3,1,1] => [[1,1,1],[2,3,3]] => [[3,3,0],[3,1],[3]] => [[3,3,0],[3,0],[2]] => 11
[2,3,3,1,1,1] => [[1,1,1],[2,3,3]] => [[3,3,0],[3,1],[3]] => [[3,3,0],[3,0],[2]] => 11
[3,1,1,3,2,1] => [[1,1,1],[2,3],[3]] => [[3,2,1],[3,1],[3]] => [[3,2,1],[2,1],[2]] => 11
[3,1,2,1,3,1] => [[1,1,1],[2,3],[3]] => [[3,2,1],[3,1],[3]] => [[3,2,1],[2,1],[2]] => 11
[3,1,2,3,1,1] => [[1,1,1],[2,3],[3]] => [[3,2,1],[3,1],[3]] => [[3,2,1],[2,1],[2]] => 11
[3,1,3,1,2,1] => [[1,1,1],[2,3],[3]] => [[3,2,1],[3,1],[3]] => [[3,2,1],[2,1],[2]] => 11
[3,1,3,2,1,1] => [[1,1,1],[2,3],[3]] => [[3,2,1],[3,1],[3]] => [[3,2,1],[2,1],[2]] => 11
[3,2,1,1,3,1] => [[1,1,1],[2,3],[3]] => [[3,2,1],[3,1],[3]] => [[3,2,1],[2,1],[2]] => 11
[3,2,1,3,1,1] => [[1,1,1],[2,3],[3]] => [[3,2,1],[3,1],[3]] => [[3,2,1],[2,1],[2]] => 11
[3,2,3,1,1,1] => [[1,1,1],[2,3],[3]] => [[3,2,1],[3,1],[3]] => [[3,2,1],[2,1],[2]] => 11
[3,3,1,1,2,1] => [[1,1,1],[2,3],[3]] => [[3,2,1],[3,1],[3]] => [[3,2,1],[2,1],[2]] => 11
[3,3,1,2,1,1] => [[1,1,1],[2,3],[3]] => [[3,2,1],[3,1],[3]] => [[3,2,1],[2,1],[2]] => 11
[3,3,2,1,1,1] => [[1,1,1],[2,3],[3]] => [[3,2,1],[3,1],[3]] => [[3,2,1],[2,1],[2]] => 11
[3,1,3,1,3,1] => [[1,1,1],[3,3,3]] => [[3,3,0],[3,0],[3]] => [[3,3,0],[3,0],[3]] => 12
[3,1,3,3,1,1] => [[1,1,1],[3,3,3]] => [[3,3,0],[3,0],[3]] => [[3,3,0],[3,0],[3]] => 12
[3,3,1,1,3,1] => [[1,1,1],[3,3,3]] => [[3,3,0],[3,0],[3]] => [[3,3,0],[3,0],[3]] => 12
[3,3,1,3,1,1] => [[1,1,1],[3,3,3]] => [[3,3,0],[3,0],[3]] => [[3,3,0],[3,0],[3]] => 12
[3,3,3,1,1,1] => [[1,1,1],[3,3,3]] => [[3,3,0],[3,0],[3]] => [[3,3,0],[3,0],[3]] => 12
[1,1,2,2,2,2] => [[1,1,2,2,2,2]] => [[6,0],[2]] => [[6,0],[4]] => 10
[1,2,1,2,2,2] => [[1,1,2,2,2],[2]] => [[5,1],[2]] => [[5,1],[4]] => 10
[1,2,2,1,2,2] => [[1,1,2,2,2],[2]] => [[5,1],[2]] => [[5,1],[4]] => 10
[1,2,2,2,1,2] => [[1,1,2,2,2],[2]] => [[5,1],[2]] => [[5,1],[4]] => 10
[1,2,2,2,2,1] => [[1,1,2,2,2],[2]] => [[5,1],[2]] => [[5,1],[4]] => 10
[2,1,1,2,2,2] => [[1,1,2,2,2],[2]] => [[5,1],[2]] => [[5,1],[4]] => 10
[2,1,2,1,2,2] => [[1,1,2,2],[2,2]] => [[4,2],[2]] => [[4,2],[4]] => 10
[2,1,2,2,1,2] => [[1,1,2,2],[2,2]] => [[4,2],[2]] => [[4,2],[4]] => 10
[2,1,2,2,2,1] => [[1,1,2,2],[2,2]] => [[4,2],[2]] => [[4,2],[4]] => 10
[2,2,1,1,2,2] => [[1,1,2,2],[2,2]] => [[4,2],[2]] => [[4,2],[4]] => 10
[2,2,1,2,1,2] => [[1,1,2,2],[2,2]] => [[4,2],[2]] => [[4,2],[4]] => 10
[2,2,1,2,2,1] => [[1,1,2,2],[2,2]] => [[4,2],[2]] => [[4,2],[4]] => 10
[2,2,2,1,1,2] => [[1,1,2,2],[2,2]] => [[4,2],[2]] => [[4,2],[4]] => 10
[2,2,2,1,2,1] => [[1,1,2,2],[2,2]] => [[4,2],[2]] => [[4,2],[4]] => 10
[2,2,2,2,1,1] => [[1,1,2,2],[2,2]] => [[4,2],[2]] => [[4,2],[4]] => 10
[2,1,2,1,3,2] => [[1,1,2],[2,2,3]] => [[3,3,0],[3,2],[2]] => [[3,3,0],[3,1],[1]] => 11
[2,1,2,3,1,2] => [[1,1,2],[2,2,3]] => [[3,3,0],[3,2],[2]] => [[3,3,0],[3,1],[1]] => 11
[2,1,2,3,2,1] => [[1,1,2],[2,2],[3]] => [[3,2,1],[3,2],[2]] => [[3,2,1],[3,1],[1]] => 11
[2,1,3,2,1,2] => [[1,1,2],[2,2],[3]] => [[3,2,1],[3,2],[2]] => [[3,2,1],[3,1],[1]] => 11
[2,1,3,2,2,1] => [[1,1,2],[2,2],[3]] => [[3,2,1],[3,2],[2]] => [[3,2,1],[3,1],[1]] => 11
[2,2,1,1,3,2] => [[1,1,2],[2,2,3]] => [[3,3,0],[3,2],[2]] => [[3,3,0],[3,1],[1]] => 11
[2,2,1,3,1,2] => [[1,1,2],[2,2,3]] => [[3,3,0],[3,2],[2]] => [[3,3,0],[3,1],[1]] => 11
[2,2,1,3,2,1] => [[1,1,2],[2,2],[3]] => [[3,2,1],[3,2],[2]] => [[3,2,1],[3,1],[1]] => 11
[2,2,3,1,1,2] => [[1,1,2],[2,2,3]] => [[3,3,0],[3,2],[2]] => [[3,3,0],[3,1],[1]] => 11
[2,2,3,1,2,1] => [[1,1,2],[2,2],[3]] => [[3,2,1],[3,2],[2]] => [[3,2,1],[3,1],[1]] => 11
[2,2,3,2,1,1] => [[1,1,2],[2,2],[3]] => [[3,2,1],[3,2],[2]] => [[3,2,1],[3,1],[1]] => 11
[2,3,1,2,1,2] => [[1,1,2],[2,2],[3]] => [[3,2,1],[3,2],[2]] => [[3,2,1],[3,1],[1]] => 11
[2,3,1,2,2,1] => [[1,1,2],[2,2],[3]] => [[3,2,1],[3,2],[2]] => [[3,2,1],[3,1],[1]] => 11
[2,3,2,1,1,2] => [[1,1,2],[2,2],[3]] => [[3,2,1],[3,2],[2]] => [[3,2,1],[3,1],[1]] => 11
[2,3,2,1,2,1] => [[1,1,2],[2,2],[3]] => [[3,2,1],[3,2],[2]] => [[3,2,1],[3,1],[1]] => 11
[2,3,2,2,1,1] => [[1,1,2],[2,2],[3]] => [[3,2,1],[3,2],[2]] => [[3,2,1],[3,1],[1]] => 11
[3,2,1,2,1,2] => [[1,1,2],[2,2],[3]] => [[3,2,1],[3,2],[2]] => [[3,2,1],[3,1],[1]] => 11
[3,2,1,2,2,1] => [[1,1,2],[2,2],[3]] => [[3,2,1],[3,2],[2]] => [[3,2,1],[3,1],[1]] => 11
[3,2,2,1,1,2] => [[1,1,2],[2,2],[3]] => [[3,2,1],[3,2],[2]] => [[3,2,1],[3,1],[1]] => 11
[3,2,2,1,2,1] => [[1,1,2],[2,2],[3]] => [[3,2,1],[3,2],[2]] => [[3,2,1],[3,1],[1]] => 11
[3,2,2,2,1,1] => [[1,1,2],[2,2],[3]] => [[3,2,1],[3,2],[2]] => [[3,2,1],[3,1],[1]] => 11
[1,3,2,1,3,2] => [[1,1,2],[2,3],[3]] => [[3,2,1],[3,1],[2]] => [[3,2,1],[2,2],[2]] => 12
[1,3,2,3,1,2] => [[1,1,2],[2,3],[3]] => [[3,2,1],[3,1],[2]] => [[3,2,1],[2,2],[2]] => 12
[1,3,2,3,2,1] => [[1,1,2],[2,3],[3]] => [[3,2,1],[3,1],[2]] => [[3,2,1],[2,2],[2]] => 12
[1,3,3,2,1,2] => [[1,1,2],[2,3],[3]] => [[3,2,1],[3,1],[2]] => [[3,2,1],[2,2],[2]] => 12
[1,3,3,2,2,1] => [[1,1,2],[2,3],[3]] => [[3,2,1],[3,1],[2]] => [[3,2,1],[2,2],[2]] => 12
[2,1,3,1,3,2] => [[1,1,2],[2,3,3]] => [[3,3,0],[3,1],[2]] => [[3,3,0],[3,1],[2]] => 12
[2,1,3,2,1,3] => [[1,1,3],[2,2],[3]] => [[3,2,1],[2,2],[2]] => [[3,2,1],[3,1],[2]] => 12
[2,1,3,2,3,1] => [[1,1,3],[2,2],[3]] => [[3,2,1],[2,2],[2]] => [[3,2,1],[3,1],[2]] => 12
[2,1,3,3,1,2] => [[1,1,2],[2,3,3]] => [[3,3,0],[3,1],[2]] => [[3,3,0],[3,1],[2]] => 12
[2,1,3,3,2,1] => [[1,1,3],[2,2],[3]] => [[3,2,1],[2,2],[2]] => [[3,2,1],[3,1],[2]] => 12
[2,3,1,1,3,2] => [[1,1,2],[2,3,3]] => [[3,3,0],[3,1],[2]] => [[3,3,0],[3,1],[2]] => 12
[2,3,1,2,1,3] => [[1,1,3],[2,2],[3]] => [[3,2,1],[2,2],[2]] => [[3,2,1],[3,1],[2]] => 12
[2,3,1,2,3,1] => [[1,1,3],[2,2],[3]] => [[3,2,1],[2,2],[2]] => [[3,2,1],[3,1],[2]] => 12
[2,3,1,3,1,2] => [[1,1,2],[2,3,3]] => [[3,3,0],[3,1],[2]] => [[3,3,0],[3,1],[2]] => 12
[2,3,1,3,2,1] => [[1,1,3],[2,2],[3]] => [[3,2,1],[2,2],[2]] => [[3,2,1],[3,1],[2]] => 12
[2,3,2,1,1,3] => [[1,1,3],[2,2],[3]] => [[3,2,1],[2,2],[2]] => [[3,2,1],[3,1],[2]] => 12
[2,3,2,1,3,1] => [[1,1,3],[2,2],[3]] => [[3,2,1],[2,2],[2]] => [[3,2,1],[3,1],[2]] => 12
[2,3,2,3,1,1] => [[1,1,3],[2,2],[3]] => [[3,2,1],[2,2],[2]] => [[3,2,1],[3,1],[2]] => 12
[2,3,3,1,1,2] => [[1,1,2],[2,3,3]] => [[3,3,0],[3,1],[2]] => [[3,3,0],[3,1],[2]] => 12
[2,3,3,1,2,1] => [[1,1,3],[2,2],[3]] => [[3,2,1],[2,2],[2]] => [[3,2,1],[3,1],[2]] => 12
[2,3,3,2,1,1] => [[1,1,3],[2,2],[3]] => [[3,2,1],[2,2],[2]] => [[3,2,1],[3,1],[2]] => 12
[3,1,2,1,3,2] => [[1,1,2],[2,3],[3]] => [[3,2,1],[3,1],[2]] => [[3,2,1],[2,2],[2]] => 12
[3,1,2,3,1,2] => [[1,1,2],[2,3],[3]] => [[3,2,1],[3,1],[2]] => [[3,2,1],[2,2],[2]] => 12
[3,1,2,3,2,1] => [[1,1,2],[2,3],[3]] => [[3,2,1],[3,1],[2]] => [[3,2,1],[2,2],[2]] => 12
[3,1,3,2,1,2] => [[1,1,2],[2,3],[3]] => [[3,2,1],[3,1],[2]] => [[3,2,1],[2,2],[2]] => 12
[3,1,3,2,2,1] => [[1,1,2],[2,3],[3]] => [[3,2,1],[3,1],[2]] => [[3,2,1],[2,2],[2]] => 12
[3,2,1,1,3,2] => [[1,1,2],[2,3],[3]] => [[3,2,1],[3,1],[2]] => [[3,2,1],[2,2],[2]] => 12
[3,2,1,2,1,3] => [[1,1,3],[2,2],[3]] => [[3,2,1],[2,2],[2]] => [[3,2,1],[3,1],[2]] => 12
[3,2,1,2,3,1] => [[1,1,3],[2,2],[3]] => [[3,2,1],[2,2],[2]] => [[3,2,1],[3,1],[2]] => 12
[3,2,1,3,1,2] => [[1,1,2],[2,3],[3]] => [[3,2,1],[3,1],[2]] => [[3,2,1],[2,2],[2]] => 12
[3,2,1,3,2,1] => [[1,1],[2,2],[3,3]] => [[2,2,2],[2,2],[2]] => [[2,2,2],[2,2],[2]] => 12
[3,2,2,1,1,3] => [[1,1,3],[2,2],[3]] => [[3,2,1],[2,2],[2]] => [[3,2,1],[3,1],[2]] => 12
[3,2,2,1,3,1] => [[1,1,3],[2,2],[3]] => [[3,2,1],[2,2],[2]] => [[3,2,1],[3,1],[2]] => 12
[3,2,2,3,1,1] => [[1,1,3],[2,2],[3]] => [[3,2,1],[2,2],[2]] => [[3,2,1],[3,1],[2]] => 12
[3,2,3,1,1,2] => [[1,1,2],[2,3],[3]] => [[3,2,1],[3,1],[2]] => [[3,2,1],[2,2],[2]] => 12
[3,2,3,1,2,1] => [[1,1],[2,2],[3,3]] => [[2,2,2],[2,2],[2]] => [[2,2,2],[2,2],[2]] => 12
[3,2,3,2,1,1] => [[1,1],[2,2],[3,3]] => [[2,2,2],[2,2],[2]] => [[2,2,2],[2,2],[2]] => 12
[3,3,1,2,1,2] => [[1,1,2],[2,3],[3]] => [[3,2,1],[3,1],[2]] => [[3,2,1],[2,2],[2]] => 12
[3,3,1,2,2,1] => [[1,1,2],[2,3],[3]] => [[3,2,1],[3,1],[2]] => [[3,2,1],[2,2],[2]] => 12
[3,3,2,1,1,2] => [[1,1,2],[2,3],[3]] => [[3,2,1],[3,1],[2]] => [[3,2,1],[2,2],[2]] => 12
[3,3,2,1,2,1] => [[1,1],[2,2],[3,3]] => [[2,2,2],[2,2],[2]] => [[2,2,2],[2,2],[2]] => 12
[3,3,2,2,1,1] => [[1,1],[2,2],[3,3]] => [[2,2,2],[2,2],[2]] => [[2,2,2],[2,2],[2]] => 12
[3,1,3,1,3,2] => [[1,1,2],[3,3,3]] => [[3,3,0],[3,0],[2]] => [[3,3,0],[3,1],[3]] => 13
[3,1,3,2,1,3] => [[1,1,3],[2,3],[3]] => [[3,2,1],[2,1],[2]] => [[3,2,1],[3,1],[3]] => 13
[3,1,3,2,3,1] => [[1,1,3],[2,3],[3]] => [[3,2,1],[2,1],[2]] => [[3,2,1],[3,1],[3]] => 13
[3,1,3,3,1,2] => [[1,1,2],[3,3,3]] => [[3,3,0],[3,0],[2]] => [[3,3,0],[3,1],[3]] => 13
[3,1,3,3,2,1] => [[1,1,3],[2,3],[3]] => [[3,2,1],[2,1],[2]] => [[3,2,1],[3,1],[3]] => 13
[3,2,1,3,1,3] => [[1,1,3],[2,3],[3]] => [[3,2,1],[2,1],[2]] => [[3,2,1],[3,1],[3]] => 13
[3,2,1,3,3,1] => [[1,1,3],[2,3],[3]] => [[3,2,1],[2,1],[2]] => [[3,2,1],[3,1],[3]] => 13
[3,2,3,1,1,3] => [[1,1,3],[2,3],[3]] => [[3,2,1],[2,1],[2]] => [[3,2,1],[3,1],[3]] => 13
[3,2,3,1,3,1] => [[1,1,3],[2,3],[3]] => [[3,2,1],[2,1],[2]] => [[3,2,1],[3,1],[3]] => 13
[3,2,3,3,1,1] => [[1,1,3],[2,3],[3]] => [[3,2,1],[2,1],[2]] => [[3,2,1],[3,1],[3]] => 13
[3,3,1,1,3,2] => [[1,1,2],[3,3,3]] => [[3,3,0],[3,0],[2]] => [[3,3,0],[3,1],[3]] => 13
[3,3,1,2,1,3] => [[1,1,3],[2,3],[3]] => [[3,2,1],[2,1],[2]] => [[3,2,1],[3,1],[3]] => 13
[3,3,1,2,3,1] => [[1,1,3],[2,3],[3]] => [[3,2,1],[2,1],[2]] => [[3,2,1],[3,1],[3]] => 13
[3,3,1,3,1,2] => [[1,1,2],[3,3,3]] => [[3,3,0],[3,0],[2]] => [[3,3,0],[3,1],[3]] => 13
[3,3,1,3,2,1] => [[1,1,3],[2,3],[3]] => [[3,2,1],[2,1],[2]] => [[3,2,1],[3,1],[3]] => 13
[3,3,2,1,1,3] => [[1,1,3],[2,3],[3]] => [[3,2,1],[2,1],[2]] => [[3,2,1],[3,1],[3]] => 13
[3,3,2,1,3,1] => [[1,1,3],[2,3],[3]] => [[3,2,1],[2,1],[2]] => [[3,2,1],[3,1],[3]] => 13
[3,3,2,3,1,1] => [[1,1,3],[2,3],[3]] => [[3,2,1],[2,1],[2]] => [[3,2,1],[3,1],[3]] => 13
[3,3,3,1,1,2] => [[1,1,2],[3,3,3]] => [[3,3,0],[3,0],[2]] => [[3,3,0],[3,1],[3]] => 13
[3,3,3,1,2,1] => [[1,1,3],[2,3],[3]] => [[3,2,1],[2,1],[2]] => [[3,2,1],[3,1],[3]] => 13
[3,3,3,2,1,1] => [[1,1,3],[2,3],[3]] => [[3,2,1],[2,1],[2]] => [[3,2,1],[3,1],[3]] => 13
[1,2,2,2,2,2] => [[1,2,2,2,2,2]] => [[6,0],[1]] => [[6,0],[5]] => 11
[2,1,2,2,2,2] => [[1,2,2,2,2],[2]] => [[5,1],[1]] => [[5,1],[5]] => 11
[2,2,1,2,2,2] => [[1,2,2,2,2],[2]] => [[5,1],[1]] => [[5,1],[5]] => 11
[2,2,2,1,2,2] => [[1,2,2,2,2],[2]] => [[5,1],[1]] => [[5,1],[5]] => 11
[2,2,2,2,1,2] => [[1,2,2,2,2],[2]] => [[5,1],[1]] => [[5,1],[5]] => 11
[2,2,2,2,2,1] => [[1,2,2,2,2],[2]] => [[5,1],[1]] => [[5,1],[5]] => 11
[2,1,3,2,3,2] => [[1,2,2],[2,3,3]] => [[3,3,0],[3,1],[1]] => [[3,3,0],[3,2],[2]] => 13
[2,1,3,3,2,2] => [[1,2,2],[2,3,3]] => [[3,3,0],[3,1],[1]] => [[3,3,0],[3,2],[2]] => 13
[2,3,1,2,3,2] => [[1,2,2],[2,3,3]] => [[3,3,0],[3,1],[1]] => [[3,3,0],[3,2],[2]] => 13
[2,3,1,3,2,2] => [[1,2,2],[2,3,3]] => [[3,3,0],[3,1],[1]] => [[3,3,0],[3,2],[2]] => 13
[2,3,2,1,3,2] => [[1,2,2],[2,3],[3]] => [[3,2,1],[3,1],[1]] => [[3,2,1],[3,2],[2]] => 13
[2,3,2,3,1,2] => [[1,2,2],[2,3],[3]] => [[3,2,1],[3,1],[1]] => [[3,2,1],[3,2],[2]] => 13
[2,3,2,3,2,1] => [[1,2,2],[2,3],[3]] => [[3,2,1],[3,1],[1]] => [[3,2,1],[3,2],[2]] => 13
[2,3,3,1,2,2] => [[1,2,2],[2,3,3]] => [[3,3,0],[3,1],[1]] => [[3,3,0],[3,2],[2]] => 13
[2,3,3,2,1,2] => [[1,2,2],[2,3],[3]] => [[3,2,1],[3,1],[1]] => [[3,2,1],[3,2],[2]] => 13
[2,3,3,2,2,1] => [[1,2,2],[2,3],[3]] => [[3,2,1],[3,1],[1]] => [[3,2,1],[3,2],[2]] => 13
[3,2,1,2,3,2] => [[1,2,2],[2,3],[3]] => [[3,2,1],[3,1],[1]] => [[3,2,1],[3,2],[2]] => 13
[3,2,1,3,2,2] => [[1,2,2],[2,3],[3]] => [[3,2,1],[3,1],[1]] => [[3,2,1],[3,2],[2]] => 13
[3,2,2,1,3,2] => [[1,2,2],[2,3],[3]] => [[3,2,1],[3,1],[1]] => [[3,2,1],[3,2],[2]] => 13
[3,2,2,3,1,2] => [[1,2,2],[2,3],[3]] => [[3,2,1],[3,1],[1]] => [[3,2,1],[3,2],[2]] => 13
[3,2,2,3,2,1] => [[1,2,2],[2,3],[3]] => [[3,2,1],[3,1],[1]] => [[3,2,1],[3,2],[2]] => 13
[3,2,3,1,2,2] => [[1,2,2],[2,3],[3]] => [[3,2,1],[3,1],[1]] => [[3,2,1],[3,2],[2]] => 13
[3,2,3,2,1,2] => [[1,2,2],[2,3],[3]] => [[3,2,1],[3,1],[1]] => [[3,2,1],[3,2],[2]] => 13
[3,2,3,2,2,1] => [[1,2,2],[2,3],[3]] => [[3,2,1],[3,1],[1]] => [[3,2,1],[3,2],[2]] => 13
[3,3,2,1,2,2] => [[1,2,2],[2,3],[3]] => [[3,2,1],[3,1],[1]] => [[3,2,1],[3,2],[2]] => 13
[3,3,2,2,1,2] => [[1,2,2],[2,3],[3]] => [[3,2,1],[3,1],[1]] => [[3,2,1],[3,2],[2]] => 13
[3,3,2,2,2,1] => [[1,2,2],[2,3],[3]] => [[3,2,1],[3,1],[1]] => [[3,2,1],[3,2],[2]] => 13
[3,1,3,2,3,2] => [[1,2,2],[3,3,3]] => [[3,3,0],[3,0],[1]] => [[3,3,0],[3,2],[3]] => 14
[3,1,3,3,2,2] => [[1,2,2],[3,3,3]] => [[3,3,0],[3,0],[1]] => [[3,3,0],[3,2],[3]] => 14
[3,2,1,3,2,3] => [[1,2,3],[2,3],[3]] => [[3,2,1],[2,1],[1]] => [[3,2,1],[3,2],[3]] => 14
[3,2,1,3,3,2] => [[1,2,3],[2,3],[3]] => [[3,2,1],[2,1],[1]] => [[3,2,1],[3,2],[3]] => 14
[3,2,3,1,2,3] => [[1,2,3],[2,3],[3]] => [[3,2,1],[2,1],[1]] => [[3,2,1],[3,2],[3]] => 14
[3,2,3,1,3,2] => [[1,2,3],[2,3],[3]] => [[3,2,1],[2,1],[1]] => [[3,2,1],[3,2],[3]] => 14
[3,2,3,2,1,3] => [[1,2,3],[2,3],[3]] => [[3,2,1],[2,1],[1]] => [[3,2,1],[3,2],[3]] => 14
[3,2,3,2,3,1] => [[1,2,3],[2,3],[3]] => [[3,2,1],[2,1],[1]] => [[3,2,1],[3,2],[3]] => 14
[3,2,3,3,1,2] => [[1,2,3],[2,3],[3]] => [[3,2,1],[2,1],[1]] => [[3,2,1],[3,2],[3]] => 14
[3,2,3,3,2,1] => [[1,2,3],[2,3],[3]] => [[3,2,1],[2,1],[1]] => [[3,2,1],[3,2],[3]] => 14
[3,3,1,2,3,2] => [[1,2,2],[3,3,3]] => [[3,3,0],[3,0],[1]] => [[3,3,0],[3,2],[3]] => 14
[3,3,1,3,2,2] => [[1,2,2],[3,3,3]] => [[3,3,0],[3,0],[1]] => [[3,3,0],[3,2],[3]] => 14
[3,3,2,1,2,3] => [[1,2,3],[2,3],[3]] => [[3,2,1],[2,1],[1]] => [[3,2,1],[3,2],[3]] => 14
[3,3,2,1,3,2] => [[1,2,3],[2,3],[3]] => [[3,2,1],[2,1],[1]] => [[3,2,1],[3,2],[3]] => 14
[3,3,2,2,1,3] => [[1,2,3],[2,3],[3]] => [[3,2,1],[2,1],[1]] => [[3,2,1],[3,2],[3]] => 14
[3,3,2,2,3,1] => [[1,2,3],[2,3],[3]] => [[3,2,1],[2,1],[1]] => [[3,2,1],[3,2],[3]] => 14
[3,3,2,3,1,2] => [[1,2,3],[2,3],[3]] => [[3,2,1],[2,1],[1]] => [[3,2,1],[3,2],[3]] => 14
[3,3,2,3,2,1] => [[1,2,3],[2,3],[3]] => [[3,2,1],[2,1],[1]] => [[3,2,1],[3,2],[3]] => 14
[3,3,3,1,2,2] => [[1,2,2],[3,3,3]] => [[3,3,0],[3,0],[1]] => [[3,3,0],[3,2],[3]] => 14
[3,3,3,2,1,2] => [[1,2,3],[2,3],[3]] => [[3,2,1],[2,1],[1]] => [[3,2,1],[3,2],[3]] => 14
[3,3,3,2,2,1] => [[1,2,3],[2,3],[3]] => [[3,2,1],[2,1],[1]] => [[3,2,1],[3,2],[3]] => 14
[1,2,3,4,5,6] => [[1,2,3,4,5,6]] => [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[1,2,3,4,6,5] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[1,2,3,5,4,6] => [[1,2,3,4,6],[5]] => [[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[1,2,3,5,6,4] => [[1,2,3,4,6],[5]] => [[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[1,2,3,6,4,5] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[1,2,3,6,5,4] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[1,2,4,3,5,6] => [[1,2,3,5,6],[4]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[1,2,4,3,6,5] => [[1,2,3,5],[4,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[1,2,4,5,3,6] => [[1,2,3,5,6],[4]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[1,2,4,5,6,3] => [[1,2,3,5,6],[4]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[1,2,4,6,3,5] => [[1,2,3,5],[4,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[1,2,4,6,5,3] => [[1,2,3,5],[4],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[1,2,5,3,4,6] => [[1,2,3,4,6],[5]] => [[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[1,2,5,3,6,4] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[1,2,5,4,3,6] => [[1,2,3,6],[4],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[1,2,5,4,6,3] => [[1,2,3,6],[4],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[1,2,5,6,3,4] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[1,2,5,6,4,3] => [[1,2,3,6],[4],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[1,2,6,3,4,5] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[1,2,6,3,5,4] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[1,2,6,4,3,5] => [[1,2,3,5],[4],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[1,2,6,4,5,3] => [[1,2,3,5],[4],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[1,2,6,5,3,4] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[1,2,6,5,4,3] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[1,3,2,4,5,6] => [[1,2,4,5,6],[3]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[1,3,2,4,6,5] => [[1,2,4,5],[3,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[1,3,2,5,4,6] => [[1,2,4,6],[3,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[1,3,2,5,6,4] => [[1,2,4,6],[3,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[1,3,2,6,4,5] => [[1,2,4,5],[3,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[1,3,2,6,5,4] => [[1,2,4],[3,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[1,3,4,2,5,6] => [[1,2,4,5,6],[3]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[1,3,4,2,6,5] => [[1,2,4,5],[3,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[1,3,4,5,2,6] => [[1,2,4,5,6],[3]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[1,3,4,5,6,2] => [[1,2,4,5,6],[3]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[1,3,4,6,2,5] => [[1,2,4,5],[3,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[1,3,4,6,5,2] => [[1,2,4,5],[3],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[1,3,5,2,4,6] => [[1,2,4,6],[3,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[1,3,5,2,6,4] => [[1,2,4,6],[3,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[1,3,5,4,2,6] => [[1,2,4,6],[3],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[1,3,5,4,6,2] => [[1,2,4,6],[3],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[1,3,5,6,2,4] => [[1,2,4,6],[3,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[1,3,5,6,4,2] => [[1,2,4,6],[3],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[1,3,6,2,4,5] => [[1,2,4,5],[3,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[1,3,6,2,5,4] => [[1,2,4],[3,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[1,3,6,4,2,5] => [[1,2,4,5],[3],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[1,3,6,4,5,2] => [[1,2,4,5],[3],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[1,3,6,5,2,4] => [[1,2,4],[3,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[1,3,6,5,4,2] => [[1,2,4],[3],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[1,4,2,3,5,6] => [[1,2,3,5,6],[4]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[1,4,2,3,6,5] => [[1,2,3,5],[4,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[1,4,2,5,3,6] => [[1,2,3,6],[4,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[1,4,2,5,6,3] => [[1,2,3,6],[4,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[1,4,2,6,3,5] => [[1,2,3,5],[4,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[1,4,2,6,5,3] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[1,4,3,2,5,6] => [[1,2,5,6],[3],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[1,4,3,2,6,5] => [[1,2,5],[3,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[1,4,3,5,2,6] => [[1,2,5,6],[3],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[1,4,3,5,6,2] => [[1,2,5,6],[3],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[1,4,3,6,2,5] => [[1,2,5],[3,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[1,4,3,6,5,2] => [[1,2,5],[3,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[1,4,5,2,3,6] => [[1,2,3,6],[4,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[1,4,5,2,6,3] => [[1,2,3,6],[4,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[1,4,5,3,2,6] => [[1,2,5,6],[3],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[1,4,5,3,6,2] => [[1,2,5,6],[3],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[1,4,5,6,2,3] => [[1,2,3,6],[4,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[1,4,5,6,3,2] => [[1,2,5,6],[3],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[1,4,6,2,3,5] => [[1,2,3,5],[4,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[1,4,6,2,5,3] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[1,4,6,3,2,5] => [[1,2,5],[3,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[1,4,6,3,5,2] => [[1,2,5],[3,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[1,4,6,5,2,3] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[1,4,6,5,3,2] => [[1,2,5],[3],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[1,5,2,3,4,6] => [[1,2,3,4,6],[5]] => [[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[1,5,2,3,6,4] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[1,5,2,4,3,6] => [[1,2,3,6],[4],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[1,5,2,4,6,3] => [[1,2,3,6],[4],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[1,5,2,6,3,4] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[1,5,2,6,4,3] => [[1,2,3],[4,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[1,5,3,2,4,6] => [[1,2,4,6],[3],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[1,5,3,2,6,4] => [[1,2,4],[3,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[1,5,3,4,2,6] => [[1,2,4,6],[3],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[1,5,3,4,6,2] => [[1,2,4,6],[3],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[1,5,3,6,2,4] => [[1,2,4],[3,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[1,5,3,6,4,2] => [[1,2,4],[3,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[1,5,4,2,3,6] => [[1,2,3,6],[4],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[1,5,4,2,6,3] => [[1,2,3],[4,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[1,5,4,3,2,6] => [[1,2,6],[3],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[1,5,4,3,6,2] => [[1,2,6],[3],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[1,5,4,6,2,3] => [[1,2,3],[4,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[1,5,4,6,3,2] => [[1,2,6],[3],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[1,5,6,2,3,4] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[1,5,6,2,4,3] => [[1,2,3],[4,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[1,5,6,3,2,4] => [[1,2,4],[3,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[1,5,6,3,4,2] => [[1,2,4],[3,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[1,5,6,4,2,3] => [[1,2,3],[4,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[1,5,6,4,3,2] => [[1,2,6],[3],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[1,6,2,3,4,5] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[1,6,2,3,5,4] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[1,6,2,4,3,5] => [[1,2,3,5],[4],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[1,6,2,4,5,3] => [[1,2,3,5],[4],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[1,6,2,5,3,4] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[1,6,2,5,4,3] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[1,6,3,2,4,5] => [[1,2,4,5],[3],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[1,6,3,2,5,4] => [[1,2,4],[3,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[1,6,3,4,2,5] => [[1,2,4,5],[3],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[1,6,3,4,5,2] => [[1,2,4,5],[3],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[1,6,3,5,2,4] => [[1,2,4],[3,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[1,6,3,5,4,2] => [[1,2,4],[3],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[1,6,4,2,3,5] => [[1,2,3,5],[4],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[1,6,4,2,5,3] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[1,6,4,3,2,5] => [[1,2,5],[3],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[1,6,4,3,5,2] => [[1,2,5],[3],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[1,6,4,5,2,3] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[1,6,4,5,3,2] => [[1,2,5],[3],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[1,6,5,2,3,4] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[1,6,5,2,4,3] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[1,6,5,3,2,4] => [[1,2,4],[3],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[1,6,5,3,4,2] => [[1,2,4],[3],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[1,6,5,4,2,3] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[1,6,5,4,3,2] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[2,1,3,4,5,6] => [[1,3,4,5,6],[2]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[2,1,3,4,6,5] => [[1,3,4,5],[2,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[2,1,3,5,4,6] => [[1,3,4,6],[2,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[2,1,3,5,6,4] => [[1,3,4,6],[2,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[2,1,3,6,4,5] => [[1,3,4,5],[2,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[2,1,3,6,5,4] => [[1,3,4],[2,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[2,1,4,3,5,6] => [[1,3,5,6],[2,4]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[2,1,4,3,6,5] => [[1,3,5],[2,4,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[2,1,4,5,3,6] => [[1,3,5,6],[2,4]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[2,1,4,5,6,3] => [[1,3,5,6],[2,4]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[2,1,4,6,3,5] => [[1,3,5],[2,4,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[2,1,4,6,5,3] => [[1,3,5],[2,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[2,1,5,3,4,6] => [[1,3,4,6],[2,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[2,1,5,3,6,4] => [[1,3,4],[2,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[2,1,5,4,3,6] => [[1,3,6],[2,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[2,1,5,4,6,3] => [[1,3,6],[2,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[2,1,5,6,3,4] => [[1,3,4],[2,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[2,1,5,6,4,3] => [[1,3,6],[2,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[2,1,6,3,4,5] => [[1,3,4,5],[2,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[2,1,6,3,5,4] => [[1,3,4],[2,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[2,1,6,4,3,5] => [[1,3,5],[2,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[2,1,6,4,5,3] => [[1,3,5],[2,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[2,1,6,5,3,4] => [[1,3,4],[2,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[2,1,6,5,4,3] => [[1,3],[2,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[2,3,1,4,5,6] => [[1,3,4,5,6],[2]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[2,3,1,4,6,5] => [[1,3,4,5],[2,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[2,3,1,5,4,6] => [[1,3,4,6],[2,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[2,3,1,5,6,4] => [[1,3,4,6],[2,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[2,3,1,6,4,5] => [[1,3,4,5],[2,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[2,3,1,6,5,4] => [[1,3,4],[2,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[2,3,4,1,5,6] => [[1,3,4,5,6],[2]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[2,3,4,1,6,5] => [[1,3,4,5],[2,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[2,3,4,5,1,6] => [[1,3,4,5,6],[2]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[2,3,4,5,6,1] => [[1,3,4,5,6],[2]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[2,3,4,6,1,5] => [[1,3,4,5],[2,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[2,3,4,6,5,1] => [[1,3,4,5],[2],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[2,3,5,1,4,6] => [[1,3,4,6],[2,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[2,3,5,1,6,4] => [[1,3,4,6],[2,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[2,3,5,4,1,6] => [[1,3,4,6],[2],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[2,3,5,4,6,1] => [[1,3,4,6],[2],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[2,3,5,6,1,4] => [[1,3,4,6],[2,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[2,3,5,6,4,1] => [[1,3,4,6],[2],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[2,3,6,1,4,5] => [[1,3,4,5],[2,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[2,3,6,1,5,4] => [[1,3,4],[2,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[2,3,6,4,1,5] => [[1,3,4,5],[2],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[2,3,6,4,5,1] => [[1,3,4,5],[2],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[2,3,6,5,1,4] => [[1,3,4],[2,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[2,3,6,5,4,1] => [[1,3,4],[2],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[2,4,1,3,5,6] => [[1,3,5,6],[2,4]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[2,4,1,3,6,5] => [[1,3,5],[2,4,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[2,4,1,5,3,6] => [[1,3,5,6],[2,4]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[2,4,1,5,6,3] => [[1,3,5,6],[2,4]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[2,4,1,6,3,5] => [[1,3,5],[2,4,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[2,4,1,6,5,3] => [[1,3,5],[2,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[2,4,3,1,5,6] => [[1,3,5,6],[2],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[2,4,3,1,6,5] => [[1,3,5],[2,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[2,4,3,5,1,6] => [[1,3,5,6],[2],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[2,4,3,5,6,1] => [[1,3,5,6],[2],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[2,4,3,6,1,5] => [[1,3,5],[2,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[2,4,3,6,5,1] => [[1,3,5],[2,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[2,4,5,1,3,6] => [[1,3,5,6],[2,4]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[2,4,5,1,6,3] => [[1,3,5,6],[2,4]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[2,4,5,3,1,6] => [[1,3,5,6],[2],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[2,4,5,3,6,1] => [[1,3,5,6],[2],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[2,4,5,6,1,3] => [[1,3,5,6],[2,4]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[2,4,5,6,3,1] => [[1,3,5,6],[2],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[2,4,6,1,3,5] => [[1,3,5],[2,4,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[2,4,6,1,5,3] => [[1,3,5],[2,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[2,4,6,3,1,5] => [[1,3,5],[2,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[2,4,6,3,5,1] => [[1,3,5],[2,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[2,4,6,5,1,3] => [[1,3,5],[2,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[2,4,6,5,3,1] => [[1,3,5],[2],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[2,5,1,3,4,6] => [[1,3,4,6],[2,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[2,5,1,3,6,4] => [[1,3,4],[2,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[2,5,1,4,3,6] => [[1,3,6],[2,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[2,5,1,4,6,3] => [[1,3,6],[2,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[2,5,1,6,3,4] => [[1,3,4],[2,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[2,5,1,6,4,3] => [[1,3,6],[2,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[2,5,3,1,4,6] => [[1,3,4,6],[2],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[2,5,3,1,6,4] => [[1,3,4],[2,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[2,5,3,4,1,6] => [[1,3,4,6],[2],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[2,5,3,4,6,1] => [[1,3,4,6],[2],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[2,5,3,6,1,4] => [[1,3,4],[2,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[2,5,3,6,4,1] => [[1,3,4],[2,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[2,5,4,1,3,6] => [[1,3,6],[2,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[2,5,4,1,6,3] => [[1,3,6],[2,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[2,5,4,3,1,6] => [[1,3,6],[2],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[2,5,4,3,6,1] => [[1,3,6],[2],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[2,5,4,6,1,3] => [[1,3,6],[2,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[2,5,4,6,3,1] => [[1,3,6],[2],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[2,5,6,1,3,4] => [[1,3,4],[2,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[2,5,6,1,4,3] => [[1,3,6],[2,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[2,5,6,3,1,4] => [[1,3,4],[2,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[2,5,6,3,4,1] => [[1,3,4],[2,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[2,5,6,4,1,3] => [[1,3,6],[2,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[2,5,6,4,3,1] => [[1,3,6],[2],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[2,6,1,3,4,5] => [[1,3,4,5],[2,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[2,6,1,3,5,4] => [[1,3,4],[2,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[2,6,1,4,3,5] => [[1,3,5],[2,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[2,6,1,4,5,3] => [[1,3,5],[2,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[2,6,1,5,3,4] => [[1,3,4],[2,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[2,6,1,5,4,3] => [[1,3],[2,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[2,6,3,1,4,5] => [[1,3,4,5],[2],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[2,6,3,1,5,4] => [[1,3,4],[2,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[2,6,3,4,1,5] => [[1,3,4,5],[2],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[2,6,3,4,5,1] => [[1,3,4,5],[2],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[2,6,3,5,1,4] => [[1,3,4],[2,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[2,6,3,5,4,1] => [[1,3,4],[2],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[2,6,4,1,3,5] => [[1,3,5],[2,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[2,6,4,1,5,3] => [[1,3,5],[2,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[2,6,4,3,1,5] => [[1,3,5],[2],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[2,6,4,3,5,1] => [[1,3,5],[2],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[2,6,4,5,1,3] => [[1,3,5],[2,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[2,6,4,5,3,1] => [[1,3,5],[2],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[2,6,5,1,3,4] => [[1,3,4],[2,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[2,6,5,1,4,3] => [[1,3],[2,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[2,6,5,3,1,4] => [[1,3,4],[2],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[2,6,5,3,4,1] => [[1,3,4],[2],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[2,6,5,4,1,3] => [[1,3],[2,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[2,6,5,4,3,1] => [[1,3],[2],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[3,1,2,4,5,6] => [[1,2,4,5,6],[3]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[3,1,2,4,6,5] => [[1,2,4,5],[3,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,1,2,5,4,6] => [[1,2,4,6],[3,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,1,2,5,6,4] => [[1,2,4,6],[3,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,1,2,6,4,5] => [[1,2,4,5],[3,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,1,2,6,5,4] => [[1,2,4],[3,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[3,1,4,2,5,6] => [[1,2,5,6],[3,4]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[3,1,4,2,6,5] => [[1,2,5],[3,4,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,1,4,5,2,6] => [[1,2,5,6],[3,4]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[3,1,4,5,6,2] => [[1,2,5,6],[3,4]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[3,1,4,6,2,5] => [[1,2,5],[3,4,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,1,4,6,5,2] => [[1,2,5],[3,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,1,5,2,4,6] => [[1,2,4,6],[3,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,1,5,2,6,4] => [[1,2,4],[3,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,1,5,4,2,6] => [[1,2,6],[3,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,1,5,4,6,2] => [[1,2,6],[3,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,1,5,6,2,4] => [[1,2,4],[3,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,1,5,6,4,2] => [[1,2,6],[3,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,1,6,2,4,5] => [[1,2,4,5],[3,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,1,6,2,5,4] => [[1,2,4],[3,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[3,1,6,4,2,5] => [[1,2,5],[3,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,1,6,4,5,2] => [[1,2,5],[3,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,1,6,5,2,4] => [[1,2,4],[3,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[3,1,6,5,4,2] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[3,2,1,4,5,6] => [[1,4,5,6],[2],[3]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[3,2,1,4,6,5] => [[1,4,5],[2,6],[3]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,2,1,5,4,6] => [[1,4,6],[2,5],[3]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,2,1,5,6,4] => [[1,4,6],[2,5],[3]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,2,1,6,4,5] => [[1,4,5],[2,6],[3]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,2,1,6,5,4] => [[1,4],[2,5],[3,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[3,2,4,1,5,6] => [[1,4,5,6],[2],[3]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[3,2,4,1,6,5] => [[1,4,5],[2,6],[3]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,2,4,5,1,6] => [[1,4,5,6],[2],[3]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[3,2,4,5,6,1] => [[1,4,5,6],[2],[3]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[3,2,4,6,1,5] => [[1,4,5],[2,6],[3]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,2,4,6,5,1] => [[1,4,5],[2,6],[3]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,2,5,1,4,6] => [[1,4,6],[2,5],[3]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,2,5,1,6,4] => [[1,4,6],[2,5],[3]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,2,5,4,1,6] => [[1,4,6],[2,5],[3]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,2,5,4,6,1] => [[1,4,6],[2,5],[3]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,2,5,6,1,4] => [[1,4,6],[2,5],[3]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,2,5,6,4,1] => [[1,4,6],[2,5],[3]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,2,6,1,4,5] => [[1,4,5],[2,6],[3]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,2,6,1,5,4] => [[1,4],[2,5],[3,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[3,2,6,4,1,5] => [[1,4,5],[2,6],[3]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,2,6,4,5,1] => [[1,4,5],[2,6],[3]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,2,6,5,1,4] => [[1,4],[2,5],[3,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[3,2,6,5,4,1] => [[1,4],[2,5],[3],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[3,4,1,2,5,6] => [[1,2,5,6],[3,4]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[3,4,1,2,6,5] => [[1,2,5],[3,4,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,4,1,5,2,6] => [[1,2,5,6],[3,4]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[3,4,1,5,6,2] => [[1,2,5,6],[3,4]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[3,4,1,6,2,5] => [[1,2,5],[3,4,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,4,1,6,5,2] => [[1,2,5],[3,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,4,2,1,5,6] => [[1,4,5,6],[2],[3]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[3,4,2,1,6,5] => [[1,4,5],[2,6],[3]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,4,2,5,1,6] => [[1,4,5,6],[2],[3]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[3,4,2,5,6,1] => [[1,4,5,6],[2],[3]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[3,4,2,6,1,5] => [[1,4,5],[2,6],[3]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,4,2,6,5,1] => [[1,4,5],[2,6],[3]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,4,5,1,2,6] => [[1,2,5,6],[3,4]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[3,4,5,1,6,2] => [[1,2,5,6],[3,4]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[3,4,5,2,1,6] => [[1,4,5,6],[2],[3]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[3,4,5,2,6,1] => [[1,4,5,6],[2],[3]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[3,4,5,6,1,2] => [[1,2,5,6],[3,4]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[3,4,5,6,2,1] => [[1,4,5,6],[2],[3]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[3,4,6,1,2,5] => [[1,2,5],[3,4,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,4,6,1,5,2] => [[1,2,5],[3,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,4,6,2,1,5] => [[1,4,5],[2,6],[3]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,4,6,2,5,1] => [[1,4,5],[2,6],[3]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,4,6,5,1,2] => [[1,2,5],[3,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,4,6,5,2,1] => [[1,4,5],[2],[3],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,5,1,2,4,6] => [[1,2,4,6],[3,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,1,2,6,4] => [[1,2,4],[3,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,1,4,2,6] => [[1,2,6],[3,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,1,4,6,2] => [[1,2,6],[3,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,1,6,2,4] => [[1,2,4],[3,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,1,6,4,2] => [[1,2,6],[3,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,2,1,4,6] => [[1,4,6],[2,5],[3]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,2,1,6,4] => [[1,4,6],[2,5],[3]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,2,4,1,6] => [[1,4,6],[2,5],[3]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,2,4,6,1] => [[1,4,6],[2,5],[3]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,2,6,1,4] => [[1,4,6],[2,5],[3]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,2,6,4,1] => [[1,4,6],[2,5],[3]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,4,1,2,6] => [[1,2,6],[3,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,4,1,6,2] => [[1,2,6],[3,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,4,2,1,6] => [[1,4,6],[2],[3],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,4,2,6,1] => [[1,4,6],[2],[3],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,4,6,1,2] => [[1,2,6],[3,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,4,6,2,1] => [[1,4,6],[2],[3],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,6,1,2,4] => [[1,2,4],[3,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,6,1,4,2] => [[1,2,6],[3,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,6,2,1,4] => [[1,4,6],[2,5],[3]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,6,2,4,1] => [[1,4,6],[2,5],[3]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,6,4,1,2] => [[1,2,6],[3,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,5,6,4,2,1] => [[1,4,6],[2],[3],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[3,6,1,2,4,5] => [[1,2,4,5],[3,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,6,1,2,5,4] => [[1,2,4],[3,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[3,6,1,4,2,5] => [[1,2,5],[3,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,6,1,4,5,2] => [[1,2,5],[3,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,6,1,5,2,4] => [[1,2,4],[3,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[3,6,1,5,4,2] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[3,6,2,1,4,5] => [[1,4,5],[2,6],[3]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,6,2,1,5,4] => [[1,4],[2,5],[3,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[3,6,2,4,1,5] => [[1,4,5],[2,6],[3]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,6,2,4,5,1] => [[1,4,5],[2,6],[3]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,6,2,5,1,4] => [[1,4],[2,5],[3,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[3,6,2,5,4,1] => [[1,4],[2,5],[3],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[3,6,4,1,2,5] => [[1,2,5],[3,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,6,4,1,5,2] => [[1,2,5],[3,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,6,4,2,1,5] => [[1,4,5],[2],[3],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,6,4,2,5,1] => [[1,4,5],[2],[3],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,6,4,5,1,2] => [[1,2,5],[3,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,6,4,5,2,1] => [[1,4,5],[2],[3],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[3,6,5,1,2,4] => [[1,2,4],[3,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[3,6,5,1,4,2] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[3,6,5,2,1,4] => [[1,4],[2,5],[3],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[3,6,5,2,4,1] => [[1,4],[2,5],[3],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[3,6,5,4,1,2] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[3,6,5,4,2,1] => [[1,4],[2],[3],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[4,1,2,3,5,6] => [[1,2,3,5,6],[4]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,1,2,3,6,5] => [[1,2,3,5],[4,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,1,2,5,3,6] => [[1,2,3,6],[4,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,1,2,5,6,3] => [[1,2,3,6],[4,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,1,2,6,3,5] => [[1,2,3,5],[4,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,1,2,6,5,3] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[4,1,3,2,5,6] => [[1,2,5,6],[3],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,1,3,2,6,5] => [[1,2,5],[3,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,1,3,5,2,6] => [[1,2,5,6],[3],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,1,3,5,6,2] => [[1,2,5,6],[3],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,1,3,6,2,5] => [[1,2,5],[3,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,1,3,6,5,2] => [[1,2,5],[3,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,1,5,2,3,6] => [[1,2,3,6],[4,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,1,5,2,6,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,1,5,3,2,6] => [[1,2,6],[3,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,1,5,3,6,2] => [[1,2,6],[3,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,1,5,6,2,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,1,5,6,3,2] => [[1,2,6],[3,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,1,6,2,3,5] => [[1,2,3,5],[4,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,1,6,2,5,3] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[4,1,6,3,2,5] => [[1,2,5],[3,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,1,6,3,5,2] => [[1,2,5],[3,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,1,6,5,2,3] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[4,1,6,5,3,2] => [[1,2],[3,5],[4],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[4,2,1,3,5,6] => [[1,3,5,6],[2],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,2,1,3,6,5] => [[1,3,5],[2,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,2,1,5,3,6] => [[1,3,6],[2,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,2,1,5,6,3] => [[1,3,6],[2,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,2,1,6,3,5] => [[1,3,5],[2,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,2,1,6,5,3] => [[1,3],[2,5],[4,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[4,2,3,1,5,6] => [[1,3,5,6],[2],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,2,3,1,6,5] => [[1,3,5],[2,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,2,3,5,1,6] => [[1,3,5,6],[2],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,2,3,5,6,1] => [[1,3,5,6],[2],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,2,3,6,1,5] => [[1,3,5],[2,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,2,3,6,5,1] => [[1,3,5],[2,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,2,5,1,3,6] => [[1,3,6],[2,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,2,5,1,6,3] => [[1,3,6],[2,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,2,5,3,1,6] => [[1,3,6],[2,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,2,5,3,6,1] => [[1,3,6],[2,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,2,5,6,1,3] => [[1,3,6],[2,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,2,5,6,3,1] => [[1,3,6],[2,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,2,6,1,3,5] => [[1,3,5],[2,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,2,6,1,5,3] => [[1,3],[2,5],[4,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[4,2,6,3,1,5] => [[1,3,5],[2,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,2,6,3,5,1] => [[1,3,5],[2,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,2,6,5,1,3] => [[1,3],[2,5],[4,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[4,2,6,5,3,1] => [[1,3],[2,5],[4],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[4,3,1,2,5,6] => [[1,2,5,6],[3],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,3,1,2,6,5] => [[1,2,5],[3,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,3,1,5,2,6] => [[1,2,6],[3,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,3,1,5,6,2] => [[1,2,6],[3,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,3,1,6,2,5] => [[1,2,5],[3,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,3,1,6,5,2] => [[1,2],[3,5],[4,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,3,2,1,5,6] => [[1,5,6],[2],[3],[4]] => [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,3,2,1,6,5] => [[1,5],[2,6],[3],[4]] => [[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,3,2,5,1,6] => [[1,5,6],[2],[3],[4]] => [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,3,2,5,6,1] => [[1,5,6],[2],[3],[4]] => [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,3,2,6,1,5] => [[1,5],[2,6],[3],[4]] => [[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,3,2,6,5,1] => [[1,5],[2,6],[3],[4]] => [[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,3,5,1,2,6] => [[1,2,6],[3,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,3,5,1,6,2] => [[1,2,6],[3,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,3,5,2,1,6] => [[1,5,6],[2],[3],[4]] => [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,3,5,2,6,1] => [[1,5,6],[2],[3],[4]] => [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,3,5,6,1,2] => [[1,2,6],[3,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,3,5,6,2,1] => [[1,5,6],[2],[3],[4]] => [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,3,6,1,2,5] => [[1,2,5],[3,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,3,6,1,5,2] => [[1,2],[3,5],[4,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,3,6,2,1,5] => [[1,5],[2,6],[3],[4]] => [[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,3,6,2,5,1] => [[1,5],[2,6],[3],[4]] => [[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,3,6,5,1,2] => [[1,2],[3,5],[4,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,3,6,5,2,1] => [[1,5],[2,6],[3],[4]] => [[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,5,1,2,3,6] => [[1,2,3,6],[4,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,1,2,6,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,1,3,2,6] => [[1,2,6],[3,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,1,3,6,2] => [[1,2,6],[3,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,1,6,2,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,1,6,3,2] => [[1,2,6],[3,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,2,1,3,6] => [[1,3,6],[2,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,2,1,6,3] => [[1,3,6],[2,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,2,3,1,6] => [[1,3,6],[2,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,2,3,6,1] => [[1,3,6],[2,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,2,6,1,3] => [[1,3,6],[2,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,2,6,3,1] => [[1,3,6],[2,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,3,1,2,6] => [[1,2,6],[3,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,3,1,6,2] => [[1,2,6],[3,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,3,2,1,6] => [[1,5,6],[2],[3],[4]] => [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,3,2,6,1] => [[1,5,6],[2],[3],[4]] => [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,3,6,1,2] => [[1,2,6],[3,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,3,6,2,1] => [[1,5,6],[2],[3],[4]] => [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,6,1,2,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,6,1,3,2] => [[1,2,6],[3,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,6,2,1,3] => [[1,3,6],[2,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,6,2,3,1] => [[1,3,6],[2,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,6,3,1,2] => [[1,2,6],[3,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,5,6,3,2,1] => [[1,5,6],[2],[3],[4]] => [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[4,6,1,2,3,5] => [[1,2,3,5],[4,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,6,1,2,5,3] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[4,6,1,3,2,5] => [[1,2,5],[3,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,6,1,3,5,2] => [[1,2,5],[3,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,6,1,5,2,3] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[4,6,1,5,3,2] => [[1,2],[3,5],[4],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[4,6,2,1,3,5] => [[1,3,5],[2,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,6,2,1,5,3] => [[1,3],[2,5],[4,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[4,6,2,3,1,5] => [[1,3,5],[2,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,6,2,3,5,1] => [[1,3,5],[2,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,6,2,5,1,3] => [[1,3],[2,5],[4,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[4,6,2,5,3,1] => [[1,3],[2,5],[4],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[4,6,3,1,2,5] => [[1,2,5],[3,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,6,3,1,5,2] => [[1,2],[3,5],[4,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,6,3,2,1,5] => [[1,5],[2,6],[3],[4]] => [[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,6,3,2,5,1] => [[1,5],[2,6],[3],[4]] => [[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,6,3,5,1,2] => [[1,2],[3,5],[4,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,6,3,5,2,1] => [[1,5],[2,6],[3],[4]] => [[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[4,6,5,1,2,3] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[4,6,5,1,3,2] => [[1,2],[3,5],[4],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[4,6,5,2,1,3] => [[1,3],[2,5],[4],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[4,6,5,2,3,1] => [[1,3],[2,5],[4],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[4,6,5,3,1,2] => [[1,2],[3,5],[4],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[4,6,5,3,2,1] => [[1,5],[2],[3],[4],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[5,1,2,3,4,6] => [[1,2,3,4,6],[5]] => [[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[5,1,2,3,6,4] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,1,2,4,3,6] => [[1,2,3,6],[4],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,1,2,4,6,3] => [[1,2,3,6],[4],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,1,2,6,3,4] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,1,2,6,4,3] => [[1,2,3],[4,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,1,3,2,4,6] => [[1,2,4,6],[3],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[5,1,3,2,6,4] => [[1,2,4],[3,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,1,3,4,2,6] => [[1,2,4,6],[3],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[5,1,3,4,6,2] => [[1,2,4,6],[3],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[5,1,3,6,2,4] => [[1,2,4],[3,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,1,3,6,4,2] => [[1,2,4],[3,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,1,4,2,3,6] => [[1,2,3,6],[4],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,1,4,2,6,3] => [[1,2,3],[4,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,1,4,3,2,6] => [[1,2,6],[3],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,1,4,3,6,2] => [[1,2,6],[3],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,1,4,6,2,3] => [[1,2,3],[4,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,1,4,6,3,2] => [[1,2,6],[3],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,1,6,2,3,4] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,1,6,2,4,3] => [[1,2,3],[4,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,1,6,3,2,4] => [[1,2,4],[3,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,1,6,3,4,2] => [[1,2,4],[3,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,1,6,4,2,3] => [[1,2,3],[4,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,1,6,4,3,2] => [[1,2],[3,6],[4],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,2,1,3,4,6] => [[1,3,4,6],[2],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[5,2,1,3,6,4] => [[1,3,4],[2,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,2,1,4,3,6] => [[1,3,6],[2,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,2,1,4,6,3] => [[1,3,6],[2,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,2,1,6,3,4] => [[1,3,4],[2,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,2,1,6,4,3] => [[1,3],[2,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,2,3,1,4,6] => [[1,3,4,6],[2],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[5,2,3,1,6,4] => [[1,3,4],[2,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,2,3,4,1,6] => [[1,3,4,6],[2],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[5,2,3,4,6,1] => [[1,3,4,6],[2],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[5,2,3,6,1,4] => [[1,3,4],[2,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,2,3,6,4,1] => [[1,3,4],[2,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,2,4,1,3,6] => [[1,3,6],[2,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,2,4,1,6,3] => [[1,3,6],[2,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,2,4,3,1,6] => [[1,3,6],[2],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,2,4,3,6,1] => [[1,3,6],[2],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,2,4,6,1,3] => [[1,3,6],[2,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,2,4,6,3,1] => [[1,3,6],[2],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,2,6,1,3,4] => [[1,3,4],[2,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,2,6,1,4,3] => [[1,3],[2,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,2,6,3,1,4] => [[1,3,4],[2,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,2,6,3,4,1] => [[1,3,4],[2,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,2,6,4,1,3] => [[1,3],[2,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,2,6,4,3,1] => [[1,3],[2,6],[4],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,3,1,2,4,6] => [[1,2,4,6],[3],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,1,2,6,4] => [[1,2,4],[3,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,1,4,2,6] => [[1,2,6],[3,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,1,4,6,2] => [[1,2,6],[3,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,1,6,2,4] => [[1,2,4],[3,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,1,6,4,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,2,1,4,6] => [[1,4,6],[2],[3],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,2,1,6,4] => [[1,4],[2,6],[3],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,2,4,1,6] => [[1,4,6],[2],[3],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,2,4,6,1] => [[1,4,6],[2],[3],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,2,6,1,4] => [[1,4],[2,6],[3],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,2,6,4,1] => [[1,4],[2,6],[3],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,4,1,2,6] => [[1,2,6],[3,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,4,1,6,2] => [[1,2,6],[3,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,4,2,1,6] => [[1,4,6],[2],[3],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,4,2,6,1] => [[1,4,6],[2],[3],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,4,6,1,2] => [[1,2,6],[3,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,4,6,2,1] => [[1,4,6],[2],[3],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,6,1,2,4] => [[1,2,4],[3,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,6,1,4,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,6,2,1,4] => [[1,4],[2,6],[3],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,6,2,4,1] => [[1,4],[2,6],[3],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,6,4,1,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,3,6,4,2,1] => [[1,4],[2,6],[3],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,4,1,2,3,6] => [[1,2,3,6],[4],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,1,2,6,3] => [[1,2,3],[4,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,1,3,2,6] => [[1,2,6],[3],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,1,3,6,2] => [[1,2,6],[3],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,1,6,2,3] => [[1,2,3],[4,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,1,6,3,2] => [[1,2],[3,6],[4],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,2,1,3,6] => [[1,3,6],[2],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,2,1,6,3] => [[1,3],[2,6],[4],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,2,3,1,6] => [[1,3,6],[2],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,2,3,6,1] => [[1,3,6],[2],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,2,6,1,3] => [[1,3],[2,6],[4],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,2,6,3,1] => [[1,3],[2,6],[4],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,3,1,2,6] => [[1,2,6],[3],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,3,1,6,2] => [[1,2],[3,6],[4],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,3,2,1,6] => [[1,6],[2],[3],[4],[5]] => [[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,3,2,6,1] => [[1,6],[2],[3],[4],[5]] => [[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,3,6,1,2] => [[1,2],[3,6],[4],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,3,6,2,1] => [[1,6],[2],[3],[4],[5]] => [[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,6,1,2,3] => [[1,2,3],[4,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,6,1,3,2] => [[1,2],[3,6],[4],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,6,2,1,3] => [[1,3],[2,6],[4],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,6,2,3,1] => [[1,3],[2,6],[4],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,6,3,1,2] => [[1,2],[3,6],[4],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,4,6,3,2,1] => [[1,6],[2],[3],[4],[5]] => [[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,6,1,2,3,4] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,6,1,2,4,3] => [[1,2,3],[4,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,6,1,3,2,4] => [[1,2,4],[3,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,6,1,3,4,2] => [[1,2,4],[3,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,6,1,4,2,3] => [[1,2,3],[4,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,6,1,4,3,2] => [[1,2],[3,6],[4],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,6,2,1,3,4] => [[1,3,4],[2,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,6,2,1,4,3] => [[1,3],[2,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,6,2,3,1,4] => [[1,3,4],[2,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,6,2,3,4,1] => [[1,3,4],[2,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,6,2,4,1,3] => [[1,3],[2,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,6,2,4,3,1] => [[1,3],[2,6],[4],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,6,3,1,2,4] => [[1,2,4],[3,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,6,3,1,4,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,6,3,2,1,4] => [[1,4],[2,6],[3],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,6,3,2,4,1] => [[1,4],[2,6],[3],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,6,3,4,1,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,6,3,4,2,1] => [[1,4],[2,6],[3],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[5,6,4,1,2,3] => [[1,2,3],[4,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,6,4,1,3,2] => [[1,2],[3,6],[4],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,6,4,2,1,3] => [[1,3],[2,6],[4],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,6,4,2,3,1] => [[1,3],[2,6],[4],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,6,4,3,1,2] => [[1,2],[3,6],[4],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[5,6,4,3,2,1] => [[1,6],[2],[3],[4],[5]] => [[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[6,1,2,3,4,5] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[6,1,2,3,5,4] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,1,2,4,3,5] => [[1,2,3,5],[4],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,1,2,4,5,3] => [[1,2,3,5],[4],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,1,2,5,3,4] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,1,2,5,4,3] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[6,1,3,2,4,5] => [[1,2,4,5],[3],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[6,1,3,2,5,4] => [[1,2,4],[3,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,1,3,4,2,5] => [[1,2,4,5],[3],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[6,1,3,4,5,2] => [[1,2,4,5],[3],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[6,1,3,5,2,4] => [[1,2,4],[3,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,1,3,5,4,2] => [[1,2,4],[3],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,1,4,2,3,5] => [[1,2,3,5],[4],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,1,4,2,5,3] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,1,4,3,2,5] => [[1,2,5],[3],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,1,4,3,5,2] => [[1,2,5],[3],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,1,4,5,2,3] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,1,4,5,3,2] => [[1,2,5],[3],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,1,5,2,3,4] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,1,5,2,4,3] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[6,1,5,3,2,4] => [[1,2,4],[3],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,1,5,3,4,2] => [[1,2,4],[3],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,1,5,4,2,3] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[6,1,5,4,3,2] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[6,2,1,3,4,5] => [[1,3,4,5],[2],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[6,2,1,3,5,4] => [[1,3,4],[2,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,2,1,4,3,5] => [[1,3,5],[2,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,2,1,4,5,3] => [[1,3,5],[2,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,2,1,5,3,4] => [[1,3,4],[2,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,2,1,5,4,3] => [[1,3],[2,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[6,2,3,1,4,5] => [[1,3,4,5],[2],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[6,2,3,1,5,4] => [[1,3,4],[2,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,2,3,4,1,5] => [[1,3,4,5],[2],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[6,2,3,4,5,1] => [[1,3,4,5],[2],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[6,2,3,5,1,4] => [[1,3,4],[2,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,2,3,5,4,1] => [[1,3,4],[2],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,2,4,1,3,5] => [[1,3,5],[2,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,2,4,1,5,3] => [[1,3,5],[2,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,2,4,3,1,5] => [[1,3,5],[2],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,2,4,3,5,1] => [[1,3,5],[2],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,2,4,5,1,3] => [[1,3,5],[2,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,2,4,5,3,1] => [[1,3,5],[2],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,2,5,1,3,4] => [[1,3,4],[2,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,2,5,1,4,3] => [[1,3],[2,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[6,2,5,3,1,4] => [[1,3,4],[2],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,2,5,3,4,1] => [[1,3,4],[2],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,2,5,4,1,3] => [[1,3],[2,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[6,2,5,4,3,1] => [[1,3],[2],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[6,3,1,2,4,5] => [[1,2,4,5],[3],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[6,3,1,2,5,4] => [[1,2,4],[3,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,3,1,4,2,5] => [[1,2,5],[3,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[6,3,1,4,5,2] => [[1,2,5],[3,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[6,3,1,5,2,4] => [[1,2,4],[3,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,3,1,5,4,2] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,3,2,1,4,5] => [[1,4,5],[2],[3],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[6,3,2,1,5,4] => [[1,4],[2,5],[3],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,3,2,4,1,5] => [[1,4,5],[2],[3],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[6,3,2,4,5,1] => [[1,4,5],[2],[3],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[6,3,2,5,1,4] => [[1,4],[2,5],[3],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,3,2,5,4,1] => [[1,4],[2,5],[3],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,3,4,1,2,5] => [[1,2,5],[3,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[6,3,4,1,5,2] => [[1,2,5],[3,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[6,3,4,2,1,5] => [[1,4,5],[2],[3],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[6,3,4,2,5,1] => [[1,4,5],[2],[3],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[6,3,4,5,1,2] => [[1,2,5],[3,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[6,3,4,5,2,1] => [[1,4,5],[2],[3],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[6,3,5,1,2,4] => [[1,2,4],[3,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,3,5,1,4,2] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,3,5,2,1,4] => [[1,4],[2,5],[3],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,3,5,2,4,1] => [[1,4],[2,5],[3],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,3,5,4,1,2] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,3,5,4,2,1] => [[1,4],[2],[3],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,4,1,2,3,5] => [[1,2,3,5],[4],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,1,2,5,3] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,1,3,2,5] => [[1,2,5],[3],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,1,3,5,2] => [[1,2,5],[3],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,1,5,2,3] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,1,5,3,2] => [[1,2],[3,5],[4],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,2,1,3,5] => [[1,3,5],[2],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,2,1,5,3] => [[1,3],[2,5],[4],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,2,3,1,5] => [[1,3,5],[2],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,2,3,5,1] => [[1,3,5],[2],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,2,5,1,3] => [[1,3],[2,5],[4],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,2,5,3,1] => [[1,3],[2,5],[4],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,3,1,2,5] => [[1,2,5],[3],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,3,1,5,2] => [[1,2],[3,5],[4],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,3,2,1,5] => [[1,5],[2],[3],[4],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,3,2,5,1] => [[1,5],[2],[3],[4],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,3,5,1,2] => [[1,2],[3,5],[4],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,3,5,2,1] => [[1,5],[2],[3],[4],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,5,1,2,3] => [[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,5,1,3,2] => [[1,2],[3,5],[4],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,5,2,1,3] => [[1,3],[2,5],[4],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,5,2,3,1] => [[1,3],[2,5],[4],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,5,3,1,2] => [[1,2],[3,5],[4],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,4,5,3,2,1] => [[1,5],[2],[3],[4],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[6,5,1,2,3,4] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,5,1,2,4,3] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[6,5,1,3,2,4] => [[1,2,4],[3],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,5,1,3,4,2] => [[1,2,4],[3],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,5,1,4,2,3] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[6,5,1,4,3,2] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[6,5,2,1,3,4] => [[1,3,4],[2],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,5,2,1,4,3] => [[1,3],[2,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[6,5,2,3,1,4] => [[1,3,4],[2],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,5,2,3,4,1] => [[1,3,4],[2],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,5,2,4,1,3] => [[1,3],[2,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[6,5,2,4,3,1] => [[1,3],[2],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[6,5,3,1,2,4] => [[1,2,4],[3],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,5,3,1,4,2] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,5,3,2,1,4] => [[1,4],[2],[3],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,5,3,2,4,1] => [[1,4],[2],[3],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,5,3,4,1,2] => [[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,5,3,4,2,1] => [[1,4],[2],[3],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[6,5,4,1,2,3] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[6,5,4,1,3,2] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[6,5,4,2,1,3] => [[1,3],[2],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[6,5,4,2,3,1] => [[1,3],[2],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => [[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[6,5,4,3,1,2] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6]] => [[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => [[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,2 1,3,6,6 1,4,10,20,30,36,24
$F_{1} = q$
$F_{2} = q^{2} + 2\ q^{3}$
$F_{3} = q^{3} + 3\ q^{4} + 6\ q^{5} + 6\ q^{6}$
$F_{4} = q^{4} + 4\ q^{5} + 10\ q^{6} + 20\ q^{7} + 30\ q^{8} + 36\ q^{9} + 24\ q^{10}$
Description
The sum of the entries of the Gelfand-Tsetlin pattern.
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to Gelfand-Tsetlin pattern
Description
Return the Gelfand-Tsetlin pattern corresponding to the semistandard tableau.
Map
insertion tableau
Description
The insertion tableau obtained by applying RSK to the parking function regarded as a word.
Map
Schuetzenberger involution
Description
Applies the Schuetzenberger involution to a Gelfand-Tsetlin pattern.
The Schuetzenberger involution is usually regarded as an involution on semistandard Young tableaux with a fixed bound on the size of the entries. It is also known as evacuation, and in the context of crystal graphs of type $A$ it realizes Lusztig's involution.
In the language of tableaux it is defined as follows. Consider a semistandard tableau with no entry larger than $n$. Use Schuetzenberger's jeu de taquin to slide all entries equal to $1$ to the outer border of the tableau. Do the same for all entries equal to $2$, restricting the tableau to the entries larger than $2$, and so on, until the tableau is a reverse semistandard tableau. Finally, replace each entry with its complement with respect to $n$, that is, replace $e$ with $n+1-e$.
The Schuetzenberger involution is usually regarded as an involution on semistandard Young tableaux with a fixed bound on the size of the entries. It is also known as evacuation, and in the context of crystal graphs of type $A$ it realizes Lusztig's involution.
In the language of tableaux it is defined as follows. Consider a semistandard tableau with no entry larger than $n$. Use Schuetzenberger's jeu de taquin to slide all entries equal to $1$ to the outer border of the tableau. Do the same for all entries equal to $2$, restricting the tableau to the entries larger than $2$, and so on, until the tableau is a reverse semistandard tableau. Finally, replace each entry with its complement with respect to $n$, that is, replace $e$ with $n+1-e$.
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