Identifier
-
Mp00128:
Set partitions
—to composition⟶
Integer compositions
Mp00180: Integer compositions —to ribbon⟶ Skew partitions
Mp00183: Skew partitions —inner shape⟶ Integer partitions
St000993: Integer partitions ⟶ ℤ
Values
{{1,2,3},{4}} => [3,1] => [[3,3],[2]] => [2] => 1
{{1,2,4},{3}} => [3,1] => [[3,3],[2]] => [2] => 1
{{1,2},{3},{4}} => [2,1,1] => [[2,2,2],[1,1]] => [1,1] => 2
{{1,3,4},{2}} => [3,1] => [[3,3],[2]] => [2] => 1
{{1,3},{2},{4}} => [2,1,1] => [[2,2,2],[1,1]] => [1,1] => 2
{{1,4},{2},{3}} => [2,1,1] => [[2,2,2],[1,1]] => [1,1] => 2
{{1,2,3,4},{5}} => [4,1] => [[4,4],[3]] => [3] => 1
{{1,2,3,5},{4}} => [4,1] => [[4,4],[3]] => [3] => 1
{{1,2,3},{4,5}} => [3,2] => [[4,3],[2]] => [2] => 1
{{1,2,3},{4},{5}} => [3,1,1] => [[3,3,3],[2,2]] => [2,2] => 2
{{1,2,4,5},{3}} => [4,1] => [[4,4],[3]] => [3] => 1
{{1,2,4},{3,5}} => [3,2] => [[4,3],[2]] => [2] => 1
{{1,2,4},{3},{5}} => [3,1,1] => [[3,3,3],[2,2]] => [2,2] => 2
{{1,2,5},{3,4}} => [3,2] => [[4,3],[2]] => [2] => 1
{{1,2},{3,4},{5}} => [2,2,1] => [[3,3,2],[2,1]] => [2,1] => 1
{{1,2,5},{3},{4}} => [3,1,1] => [[3,3,3],[2,2]] => [2,2] => 2
{{1,2},{3,5},{4}} => [2,2,1] => [[3,3,2],[2,1]] => [2,1] => 1
{{1,2},{3},{4,5}} => [2,1,2] => [[3,2,2],[1,1]] => [1,1] => 2
{{1,2},{3},{4},{5}} => [2,1,1,1] => [[2,2,2,2],[1,1,1]] => [1,1,1] => 3
{{1,3,4,5},{2}} => [4,1] => [[4,4],[3]] => [3] => 1
{{1,3,4},{2,5}} => [3,2] => [[4,3],[2]] => [2] => 1
{{1,3,4},{2},{5}} => [3,1,1] => [[3,3,3],[2,2]] => [2,2] => 2
{{1,3,5},{2,4}} => [3,2] => [[4,3],[2]] => [2] => 1
{{1,3},{2,4},{5}} => [2,2,1] => [[3,3,2],[2,1]] => [2,1] => 1
{{1,3,5},{2},{4}} => [3,1,1] => [[3,3,3],[2,2]] => [2,2] => 2
{{1,3},{2,5},{4}} => [2,2,1] => [[3,3,2],[2,1]] => [2,1] => 1
{{1,3},{2},{4,5}} => [2,1,2] => [[3,2,2],[1,1]] => [1,1] => 2
{{1,3},{2},{4},{5}} => [2,1,1,1] => [[2,2,2,2],[1,1,1]] => [1,1,1] => 3
{{1,4,5},{2,3}} => [3,2] => [[4,3],[2]] => [2] => 1
{{1,4},{2,3},{5}} => [2,2,1] => [[3,3,2],[2,1]] => [2,1] => 1
{{1},{2,3,4},{5}} => [1,3,1] => [[3,3,1],[2]] => [2] => 1
{{1,5},{2,3},{4}} => [2,2,1] => [[3,3,2],[2,1]] => [2,1] => 1
{{1},{2,3,5},{4}} => [1,3,1] => [[3,3,1],[2]] => [2] => 1
{{1},{2,3},{4},{5}} => [1,2,1,1] => [[2,2,2,1],[1,1]] => [1,1] => 2
{{1,4,5},{2},{3}} => [3,1,1] => [[3,3,3],[2,2]] => [2,2] => 2
{{1,4},{2,5},{3}} => [2,2,1] => [[3,3,2],[2,1]] => [2,1] => 1
{{1,4},{2},{3,5}} => [2,1,2] => [[3,2,2],[1,1]] => [1,1] => 2
{{1,4},{2},{3},{5}} => [2,1,1,1] => [[2,2,2,2],[1,1,1]] => [1,1,1] => 3
{{1,5},{2,4},{3}} => [2,2,1] => [[3,3,2],[2,1]] => [2,1] => 1
{{1},{2,4,5},{3}} => [1,3,1] => [[3,3,1],[2]] => [2] => 1
{{1},{2,4},{3},{5}} => [1,2,1,1] => [[2,2,2,1],[1,1]] => [1,1] => 2
{{1,5},{2},{3,4}} => [2,1,2] => [[3,2,2],[1,1]] => [1,1] => 2
{{1,5},{2},{3},{4}} => [2,1,1,1] => [[2,2,2,2],[1,1,1]] => [1,1,1] => 3
{{1},{2,5},{3},{4}} => [1,2,1,1] => [[2,2,2,1],[1,1]] => [1,1] => 2
{{1,2,3,4,5},{6}} => [5,1] => [[5,5],[4]] => [4] => 1
{{1,2,3,4,6},{5}} => [5,1] => [[5,5],[4]] => [4] => 1
{{1,2,3,4},{5,6}} => [4,2] => [[5,4],[3]] => [3] => 1
{{1,2,3,4},{5},{6}} => [4,1,1] => [[4,4,4],[3,3]] => [3,3] => 2
{{1,2,3,5,6},{4}} => [5,1] => [[5,5],[4]] => [4] => 1
{{1,2,3,5},{4,6}} => [4,2] => [[5,4],[3]] => [3] => 1
{{1,2,3,5},{4},{6}} => [4,1,1] => [[4,4,4],[3,3]] => [3,3] => 2
{{1,2,3,6},{4,5}} => [4,2] => [[5,4],[3]] => [3] => 1
{{1,2,3},{4,5,6}} => [3,3] => [[5,3],[2]] => [2] => 1
{{1,2,3},{4,5},{6}} => [3,2,1] => [[4,4,3],[3,2]] => [3,2] => 1
{{1,2,3,6},{4},{5}} => [4,1,1] => [[4,4,4],[3,3]] => [3,3] => 2
{{1,2,3},{4,6},{5}} => [3,2,1] => [[4,4,3],[3,2]] => [3,2] => 1
{{1,2,3},{4},{5,6}} => [3,1,2] => [[4,3,3],[2,2]] => [2,2] => 2
{{1,2,3},{4},{5},{6}} => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,2,4,5,6},{3}} => [5,1] => [[5,5],[4]] => [4] => 1
{{1,2,4,5},{3,6}} => [4,2] => [[5,4],[3]] => [3] => 1
{{1,2,4,5},{3},{6}} => [4,1,1] => [[4,4,4],[3,3]] => [3,3] => 2
{{1,2,4,6},{3,5}} => [4,2] => [[5,4],[3]] => [3] => 1
{{1,2,4},{3,5,6}} => [3,3] => [[5,3],[2]] => [2] => 1
{{1,2,4},{3,5},{6}} => [3,2,1] => [[4,4,3],[3,2]] => [3,2] => 1
{{1,2,4,6},{3},{5}} => [4,1,1] => [[4,4,4],[3,3]] => [3,3] => 2
{{1,2,4},{3,6},{5}} => [3,2,1] => [[4,4,3],[3,2]] => [3,2] => 1
{{1,2,4},{3},{5,6}} => [3,1,2] => [[4,3,3],[2,2]] => [2,2] => 2
{{1,2,4},{3},{5},{6}} => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,2,5,6},{3,4}} => [4,2] => [[5,4],[3]] => [3] => 1
{{1,2,5},{3,4,6}} => [3,3] => [[5,3],[2]] => [2] => 1
{{1,2,5},{3,4},{6}} => [3,2,1] => [[4,4,3],[3,2]] => [3,2] => 1
{{1,2,6},{3,4,5}} => [3,3] => [[5,3],[2]] => [2] => 1
{{1,2},{3,4,5},{6}} => [2,3,1] => [[4,4,2],[3,1]] => [3,1] => 1
{{1,2,6},{3,4},{5}} => [3,2,1] => [[4,4,3],[3,2]] => [3,2] => 1
{{1,2},{3,4,6},{5}} => [2,3,1] => [[4,4,2],[3,1]] => [3,1] => 1
{{1,2},{3,4},{5,6}} => [2,2,2] => [[4,3,2],[2,1]] => [2,1] => 1
{{1,2},{3,4},{5},{6}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,2,5,6},{3},{4}} => [4,1,1] => [[4,4,4],[3,3]] => [3,3] => 2
{{1,2,5},{3,6},{4}} => [3,2,1] => [[4,4,3],[3,2]] => [3,2] => 1
{{1,2,5},{3},{4,6}} => [3,1,2] => [[4,3,3],[2,2]] => [2,2] => 2
{{1,2,5},{3},{4},{6}} => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,2,6},{3,5},{4}} => [3,2,1] => [[4,4,3],[3,2]] => [3,2] => 1
{{1,2},{3,5,6},{4}} => [2,3,1] => [[4,4,2],[3,1]] => [3,1] => 1
{{1,2},{3,5},{4,6}} => [2,2,2] => [[4,3,2],[2,1]] => [2,1] => 1
{{1,2},{3,5},{4},{6}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,2,6},{3},{4,5}} => [3,1,2] => [[4,3,3],[2,2]] => [2,2] => 2
{{1,2},{3,6},{4,5}} => [2,2,2] => [[4,3,2],[2,1]] => [2,1] => 1
{{1,2},{3},{4,5,6}} => [2,1,3] => [[4,2,2],[1,1]] => [1,1] => 2
{{1,2},{3},{4,5},{6}} => [2,1,2,1] => [[3,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,2,6},{3},{4},{5}} => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,2},{3,6},{4},{5}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,2},{3},{4,6},{5}} => [2,1,2,1] => [[3,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,2},{3},{4},{5,6}} => [2,1,1,2] => [[3,2,2,2],[1,1,1]] => [1,1,1] => 3
{{1,2},{3},{4},{5},{6}} => [2,1,1,1,1] => [[2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => 4
{{1,3,4,5,6},{2}} => [5,1] => [[5,5],[4]] => [4] => 1
{{1,3,4,5},{2,6}} => [4,2] => [[5,4],[3]] => [3] => 1
{{1,3,4,5},{2},{6}} => [4,1,1] => [[4,4,4],[3,3]] => [3,3] => 2
{{1,3,4,6},{2,5}} => [4,2] => [[5,4],[3]] => [3] => 1
{{1,3,4},{2,5,6}} => [3,3] => [[5,3],[2]] => [2] => 1
{{1,3,4},{2,5},{6}} => [3,2,1] => [[4,4,3],[3,2]] => [3,2] => 1
{{1,3,4,6},{2},{5}} => [4,1,1] => [[4,4,4],[3,3]] => [3,3] => 2
>>> Load all 3369 entries. <<<{{1,3,4},{2,6},{5}} => [3,2,1] => [[4,4,3],[3,2]] => [3,2] => 1
{{1,3,4},{2},{5,6}} => [3,1,2] => [[4,3,3],[2,2]] => [2,2] => 2
{{1,3,4},{2},{5},{6}} => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,3,5,6},{2,4}} => [4,2] => [[5,4],[3]] => [3] => 1
{{1,3,5},{2,4,6}} => [3,3] => [[5,3],[2]] => [2] => 1
{{1,3,5},{2,4},{6}} => [3,2,1] => [[4,4,3],[3,2]] => [3,2] => 1
{{1,3,6},{2,4,5}} => [3,3] => [[5,3],[2]] => [2] => 1
{{1,3},{2,4,5},{6}} => [2,3,1] => [[4,4,2],[3,1]] => [3,1] => 1
{{1,3,6},{2,4},{5}} => [3,2,1] => [[4,4,3],[3,2]] => [3,2] => 1
{{1,3},{2,4,6},{5}} => [2,3,1] => [[4,4,2],[3,1]] => [3,1] => 1
{{1,3},{2,4},{5,6}} => [2,2,2] => [[4,3,2],[2,1]] => [2,1] => 1
{{1,3},{2,4},{5},{6}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,3,5,6},{2},{4}} => [4,1,1] => [[4,4,4],[3,3]] => [3,3] => 2
{{1,3,5},{2,6},{4}} => [3,2,1] => [[4,4,3],[3,2]] => [3,2] => 1
{{1,3,5},{2},{4,6}} => [3,1,2] => [[4,3,3],[2,2]] => [2,2] => 2
{{1,3,5},{2},{4},{6}} => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,3,6},{2,5},{4}} => [3,2,1] => [[4,4,3],[3,2]] => [3,2] => 1
{{1,3},{2,5,6},{4}} => [2,3,1] => [[4,4,2],[3,1]] => [3,1] => 1
{{1,3},{2,5},{4,6}} => [2,2,2] => [[4,3,2],[2,1]] => [2,1] => 1
{{1,3},{2,5},{4},{6}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,3,6},{2},{4,5}} => [3,1,2] => [[4,3,3],[2,2]] => [2,2] => 2
{{1,3},{2,6},{4,5}} => [2,2,2] => [[4,3,2],[2,1]] => [2,1] => 1
{{1,3},{2},{4,5,6}} => [2,1,3] => [[4,2,2],[1,1]] => [1,1] => 2
{{1,3},{2},{4,5},{6}} => [2,1,2,1] => [[3,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,3,6},{2},{4},{5}} => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,3},{2,6},{4},{5}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,3},{2},{4,6},{5}} => [2,1,2,1] => [[3,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,3},{2},{4},{5,6}} => [2,1,1,2] => [[3,2,2,2],[1,1,1]] => [1,1,1] => 3
{{1,3},{2},{4},{5},{6}} => [2,1,1,1,1] => [[2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => 4
{{1,4,5,6},{2,3}} => [4,2] => [[5,4],[3]] => [3] => 1
{{1,4,5},{2,3,6}} => [3,3] => [[5,3],[2]] => [2] => 1
{{1,4,5},{2,3},{6}} => [3,2,1] => [[4,4,3],[3,2]] => [3,2] => 1
{{1,4,6},{2,3,5}} => [3,3] => [[5,3],[2]] => [2] => 1
{{1,4},{2,3,5},{6}} => [2,3,1] => [[4,4,2],[3,1]] => [3,1] => 1
{{1,4,6},{2,3},{5}} => [3,2,1] => [[4,4,3],[3,2]] => [3,2] => 1
{{1,4},{2,3,6},{5}} => [2,3,1] => [[4,4,2],[3,1]] => [3,1] => 1
{{1,4},{2,3},{5,6}} => [2,2,2] => [[4,3,2],[2,1]] => [2,1] => 1
{{1,4},{2,3},{5},{6}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,5,6},{2,3,4}} => [3,3] => [[5,3],[2]] => [2] => 1
{{1,5},{2,3,4},{6}} => [2,3,1] => [[4,4,2],[3,1]] => [3,1] => 1
{{1},{2,3,4,5},{6}} => [1,4,1] => [[4,4,1],[3]] => [3] => 1
{{1,6},{2,3,4},{5}} => [2,3,1] => [[4,4,2],[3,1]] => [3,1] => 1
{{1},{2,3,4,6},{5}} => [1,4,1] => [[4,4,1],[3]] => [3] => 1
{{1},{2,3,4},{5,6}} => [1,3,2] => [[4,3,1],[2]] => [2] => 1
{{1},{2,3,4},{5},{6}} => [1,3,1,1] => [[3,3,3,1],[2,2]] => [2,2] => 2
{{1,5,6},{2,3},{4}} => [3,2,1] => [[4,4,3],[3,2]] => [3,2] => 1
{{1,5},{2,3,6},{4}} => [2,3,1] => [[4,4,2],[3,1]] => [3,1] => 1
{{1,5},{2,3},{4,6}} => [2,2,2] => [[4,3,2],[2,1]] => [2,1] => 1
{{1,5},{2,3},{4},{6}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,6},{2,3,5},{4}} => [2,3,1] => [[4,4,2],[3,1]] => [3,1] => 1
{{1},{2,3,5,6},{4}} => [1,4,1] => [[4,4,1],[3]] => [3] => 1
{{1},{2,3,5},{4,6}} => [1,3,2] => [[4,3,1],[2]] => [2] => 1
{{1},{2,3,5},{4},{6}} => [1,3,1,1] => [[3,3,3,1],[2,2]] => [2,2] => 2
{{1,6},{2,3},{4,5}} => [2,2,2] => [[4,3,2],[2,1]] => [2,1] => 1
{{1},{2,3,6},{4,5}} => [1,3,2] => [[4,3,1],[2]] => [2] => 1
{{1},{2,3},{4,5},{6}} => [1,2,2,1] => [[3,3,2,1],[2,1]] => [2,1] => 1
{{1,6},{2,3},{4},{5}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1},{2,3,6},{4},{5}} => [1,3,1,1] => [[3,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,3},{4,6},{5}} => [1,2,2,1] => [[3,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,3},{4},{5,6}} => [1,2,1,2] => [[3,2,2,1],[1,1]] => [1,1] => 2
{{1},{2,3},{4},{5},{6}} => [1,2,1,1,1] => [[2,2,2,2,1],[1,1,1]] => [1,1,1] => 3
{{1,4,5,6},{2},{3}} => [4,1,1] => [[4,4,4],[3,3]] => [3,3] => 2
{{1,4,5},{2,6},{3}} => [3,2,1] => [[4,4,3],[3,2]] => [3,2] => 1
{{1,4,5},{2},{3,6}} => [3,1,2] => [[4,3,3],[2,2]] => [2,2] => 2
{{1,4,5},{2},{3},{6}} => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,4,6},{2,5},{3}} => [3,2,1] => [[4,4,3],[3,2]] => [3,2] => 1
{{1,4},{2,5,6},{3}} => [2,3,1] => [[4,4,2],[3,1]] => [3,1] => 1
{{1,4},{2,5},{3,6}} => [2,2,2] => [[4,3,2],[2,1]] => [2,1] => 1
{{1,4},{2,5},{3},{6}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,4,6},{2},{3,5}} => [3,1,2] => [[4,3,3],[2,2]] => [2,2] => 2
{{1,4},{2,6},{3,5}} => [2,2,2] => [[4,3,2],[2,1]] => [2,1] => 1
{{1,4},{2},{3,5,6}} => [2,1,3] => [[4,2,2],[1,1]] => [1,1] => 2
{{1,4},{2},{3,5},{6}} => [2,1,2,1] => [[3,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,4,6},{2},{3},{5}} => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,4},{2,6},{3},{5}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,4},{2},{3,6},{5}} => [2,1,2,1] => [[3,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,4},{2},{3},{5,6}} => [2,1,1,2] => [[3,2,2,2],[1,1,1]] => [1,1,1] => 3
{{1,4},{2},{3},{5},{6}} => [2,1,1,1,1] => [[2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => 4
{{1,5,6},{2,4},{3}} => [3,2,1] => [[4,4,3],[3,2]] => [3,2] => 1
{{1,5},{2,4,6},{3}} => [2,3,1] => [[4,4,2],[3,1]] => [3,1] => 1
{{1,5},{2,4},{3,6}} => [2,2,2] => [[4,3,2],[2,1]] => [2,1] => 1
{{1,5},{2,4},{3},{6}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,6},{2,4,5},{3}} => [2,3,1] => [[4,4,2],[3,1]] => [3,1] => 1
{{1},{2,4,5,6},{3}} => [1,4,1] => [[4,4,1],[3]] => [3] => 1
{{1},{2,4,5},{3,6}} => [1,3,2] => [[4,3,1],[2]] => [2] => 1
{{1},{2,4,5},{3},{6}} => [1,3,1,1] => [[3,3,3,1],[2,2]] => [2,2] => 2
{{1,6},{2,4},{3,5}} => [2,2,2] => [[4,3,2],[2,1]] => [2,1] => 1
{{1},{2,4,6},{3,5}} => [1,3,2] => [[4,3,1],[2]] => [2] => 1
{{1},{2,4},{3,5},{6}} => [1,2,2,1] => [[3,3,2,1],[2,1]] => [2,1] => 1
{{1,6},{2,4},{3},{5}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1},{2,4,6},{3},{5}} => [1,3,1,1] => [[3,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,4},{3,6},{5}} => [1,2,2,1] => [[3,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,4},{3},{5,6}} => [1,2,1,2] => [[3,2,2,1],[1,1]] => [1,1] => 2
{{1},{2,4},{3},{5},{6}} => [1,2,1,1,1] => [[2,2,2,2,1],[1,1,1]] => [1,1,1] => 3
{{1,5,6},{2},{3,4}} => [3,1,2] => [[4,3,3],[2,2]] => [2,2] => 2
{{1,5},{2,6},{3,4}} => [2,2,2] => [[4,3,2],[2,1]] => [2,1] => 1
{{1,5},{2},{3,4,6}} => [2,1,3] => [[4,2,2],[1,1]] => [1,1] => 2
{{1,5},{2},{3,4},{6}} => [2,1,2,1] => [[3,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,6},{2,5},{3,4}} => [2,2,2] => [[4,3,2],[2,1]] => [2,1] => 1
{{1},{2,5,6},{3,4}} => [1,3,2] => [[4,3,1],[2]] => [2] => 1
{{1},{2,5},{3,4},{6}} => [1,2,2,1] => [[3,3,2,1],[2,1]] => [2,1] => 1
{{1,6},{2},{3,4,5}} => [2,1,3] => [[4,2,2],[1,1]] => [1,1] => 2
{{1},{2},{3,4,5},{6}} => [1,1,3,1] => [[3,3,1,1],[2]] => [2] => 1
{{1,6},{2},{3,4},{5}} => [2,1,2,1] => [[3,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1},{2,6},{3,4},{5}} => [1,2,2,1] => [[3,3,2,1],[2,1]] => [2,1] => 1
{{1},{2},{3,4,6},{5}} => [1,1,3,1] => [[3,3,1,1],[2]] => [2] => 1
{{1},{2},{3,4},{5},{6}} => [1,1,2,1,1] => [[2,2,2,1,1],[1,1]] => [1,1] => 2
{{1,5,6},{2},{3},{4}} => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,5},{2,6},{3},{4}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,5},{2},{3,6},{4}} => [2,1,2,1] => [[3,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,5},{2},{3},{4,6}} => [2,1,1,2] => [[3,2,2,2],[1,1,1]] => [1,1,1] => 3
{{1,5},{2},{3},{4},{6}} => [2,1,1,1,1] => [[2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => 4
{{1,6},{2,5},{3},{4}} => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1},{2,5,6},{3},{4}} => [1,3,1,1] => [[3,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,5},{3,6},{4}} => [1,2,2,1] => [[3,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,5},{3},{4,6}} => [1,2,1,2] => [[3,2,2,1],[1,1]] => [1,1] => 2
{{1},{2,5},{3},{4},{6}} => [1,2,1,1,1] => [[2,2,2,2,1],[1,1,1]] => [1,1,1] => 3
{{1,6},{2},{3,5},{4}} => [2,1,2,1] => [[3,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1},{2,6},{3,5},{4}} => [1,2,2,1] => [[3,3,2,1],[2,1]] => [2,1] => 1
{{1},{2},{3,5,6},{4}} => [1,1,3,1] => [[3,3,1,1],[2]] => [2] => 1
{{1},{2},{3,5},{4},{6}} => [1,1,2,1,1] => [[2,2,2,1,1],[1,1]] => [1,1] => 2
{{1,6},{2},{3},{4,5}} => [2,1,1,2] => [[3,2,2,2],[1,1,1]] => [1,1,1] => 3
{{1},{2,6},{3},{4,5}} => [1,2,1,2] => [[3,2,2,1],[1,1]] => [1,1] => 2
{{1,6},{2},{3},{4},{5}} => [2,1,1,1,1] => [[2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => 4
{{1},{2,6},{3},{4},{5}} => [1,2,1,1,1] => [[2,2,2,2,1],[1,1,1]] => [1,1,1] => 3
{{1},{2},{3,6},{4},{5}} => [1,1,2,1,1] => [[2,2,2,1,1],[1,1]] => [1,1] => 2
{{1,2,3,4,5,6},{7}} => [6,1] => [[6,6],[5]] => [5] => 1
{{1,2,3,4,5,7},{6}} => [6,1] => [[6,6],[5]] => [5] => 1
{{1,2,3,4,5},{6,7}} => [5,2] => [[6,5],[4]] => [4] => 1
{{1,2,3,4,5},{6},{7}} => [5,1,1] => [[5,5,5],[4,4]] => [4,4] => 2
{{1,2,3,4,6,7},{5}} => [6,1] => [[6,6],[5]] => [5] => 1
{{1,2,3,4,6},{5,7}} => [5,2] => [[6,5],[4]] => [4] => 1
{{1,2,3,4,6},{5},{7}} => [5,1,1] => [[5,5,5],[4,4]] => [4,4] => 2
{{1,2,3,4,7},{5,6}} => [5,2] => [[6,5],[4]] => [4] => 1
{{1,2,3,4},{5,6,7}} => [4,3] => [[6,4],[3]] => [3] => 1
{{1,2,3,4},{5,6},{7}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,2,3,4,7},{5},{6}} => [5,1,1] => [[5,5,5],[4,4]] => [4,4] => 2
{{1,2,3,4},{5,7},{6}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,2,3,4},{5},{6,7}} => [4,1,2] => [[5,4,4],[3,3]] => [3,3] => 2
{{1,2,3,4},{5},{6},{7}} => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,2,3,5,6,7},{4}} => [6,1] => [[6,6],[5]] => [5] => 1
{{1,2,3,5,6},{4,7}} => [5,2] => [[6,5],[4]] => [4] => 1
{{1,2,3,5,6},{4},{7}} => [5,1,1] => [[5,5,5],[4,4]] => [4,4] => 2
{{1,2,3,5,7},{4,6}} => [5,2] => [[6,5],[4]] => [4] => 1
{{1,2,3,5},{4,6,7}} => [4,3] => [[6,4],[3]] => [3] => 1
{{1,2,3,5},{4,6},{7}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,2,3,5,7},{4},{6}} => [5,1,1] => [[5,5,5],[4,4]] => [4,4] => 2
{{1,2,3,5},{4,7},{6}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,2,3,5},{4},{6,7}} => [4,1,2] => [[5,4,4],[3,3]] => [3,3] => 2
{{1,2,3,5},{4},{6},{7}} => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,2,3,6,7},{4,5}} => [5,2] => [[6,5],[4]] => [4] => 1
{{1,2,3,6},{4,5,7}} => [4,3] => [[6,4],[3]] => [3] => 1
{{1,2,3,6},{4,5},{7}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,2,3,7},{4,5,6}} => [4,3] => [[6,4],[3]] => [3] => 1
{{1,2,3},{4,5,6,7}} => [3,4] => [[6,3],[2]] => [2] => 1
{{1,2,3},{4,5,6},{7}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,2,3,7},{4,5},{6}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,2,3},{4,5,7},{6}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,2,3},{4,5},{6,7}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,2,3},{4,5},{6},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,3,6,7},{4},{5}} => [5,1,1] => [[5,5,5],[4,4]] => [4,4] => 2
{{1,2,3,6},{4,7},{5}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,2,3,6},{4},{5,7}} => [4,1,2] => [[5,4,4],[3,3]] => [3,3] => 2
{{1,2,3,6},{4},{5},{7}} => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,2,3,7},{4,6},{5}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,2,3},{4,6,7},{5}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,2,3},{4,6},{5,7}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,2,3},{4,6},{5},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,3,7},{4},{5,6}} => [4,1,2] => [[5,4,4],[3,3]] => [3,3] => 2
{{1,2,3},{4,7},{5,6}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,2,3},{4},{5,6,7}} => [3,1,3] => [[5,3,3],[2,2]] => [2,2] => 2
{{1,2,3},{4},{5,6},{7}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,2,3,7},{4},{5},{6}} => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,2,3},{4,7},{5},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,3},{4},{5,7},{6}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,2,3},{4},{5},{6,7}} => [3,1,1,2] => [[4,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,2,3},{4},{5},{6},{7}} => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => 4
{{1,2,4,5,6,7},{3}} => [6,1] => [[6,6],[5]] => [5] => 1
{{1,2,4,5,6},{3,7}} => [5,2] => [[6,5],[4]] => [4] => 1
{{1,2,4,5,6},{3},{7}} => [5,1,1] => [[5,5,5],[4,4]] => [4,4] => 2
{{1,2,4,5,7},{3,6}} => [5,2] => [[6,5],[4]] => [4] => 1
{{1,2,4,5},{3,6,7}} => [4,3] => [[6,4],[3]] => [3] => 1
{{1,2,4,5},{3,6},{7}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,2,4,5,7},{3},{6}} => [5,1,1] => [[5,5,5],[4,4]] => [4,4] => 2
{{1,2,4,5},{3,7},{6}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,2,4,5},{3},{6,7}} => [4,1,2] => [[5,4,4],[3,3]] => [3,3] => 2
{{1,2,4,5},{3},{6},{7}} => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,2,4,6,7},{3,5}} => [5,2] => [[6,5],[4]] => [4] => 1
{{1,2,4,6},{3,5,7}} => [4,3] => [[6,4],[3]] => [3] => 1
{{1,2,4,6},{3,5},{7}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,2,4,7},{3,5,6}} => [4,3] => [[6,4],[3]] => [3] => 1
{{1,2,4},{3,5,6,7}} => [3,4] => [[6,3],[2]] => [2] => 1
{{1,2,4},{3,5,6},{7}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,2,4,7},{3,5},{6}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,2,4},{3,5,7},{6}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,2,4},{3,5},{6,7}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,2,4},{3,5},{6},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,4,6,7},{3},{5}} => [5,1,1] => [[5,5,5],[4,4]] => [4,4] => 2
{{1,2,4,6},{3,7},{5}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,2,4,6},{3},{5,7}} => [4,1,2] => [[5,4,4],[3,3]] => [3,3] => 2
{{1,2,4,6},{3},{5},{7}} => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,2,4,7},{3,6},{5}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,2,4},{3,6,7},{5}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,2,4},{3,6},{5,7}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,2,4},{3,6},{5},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,4,7},{3},{5,6}} => [4,1,2] => [[5,4,4],[3,3]] => [3,3] => 2
{{1,2,4},{3,7},{5,6}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,2,4},{3},{5,6,7}} => [3,1,3] => [[5,3,3],[2,2]] => [2,2] => 2
{{1,2,4},{3},{5,6},{7}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,2,4,7},{3},{5},{6}} => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,2,4},{3,7},{5},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,4},{3},{5,7},{6}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,2,4},{3},{5},{6,7}} => [3,1,1,2] => [[4,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,2,4},{3},{5},{6},{7}} => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => 4
{{1,2,5,6,7},{3,4}} => [5,2] => [[6,5],[4]] => [4] => 1
{{1,2,5,6},{3,4,7}} => [4,3] => [[6,4],[3]] => [3] => 1
{{1,2,5,6},{3,4},{7}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,2,5,7},{3,4,6}} => [4,3] => [[6,4],[3]] => [3] => 1
{{1,2,5},{3,4,6,7}} => [3,4] => [[6,3],[2]] => [2] => 1
{{1,2,5},{3,4,6},{7}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,2,5,7},{3,4},{6}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,2,5},{3,4,7},{6}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,2,5},{3,4},{6,7}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,2,5},{3,4},{6},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,6,7},{3,4,5}} => [4,3] => [[6,4],[3]] => [3] => 1
{{1,2,6},{3,4,5,7}} => [3,4] => [[6,3],[2]] => [2] => 1
{{1,2,6},{3,4,5},{7}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,2,7},{3,4,5,6}} => [3,4] => [[6,3],[2]] => [2] => 1
{{1,2},{3,4,5,6},{7}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1,2,7},{3,4,5},{6}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,2},{3,4,5,7},{6}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1,2},{3,4,5},{6,7}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,2},{3,4,5},{6},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,2,6,7},{3,4},{5}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,2,6},{3,4,7},{5}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,2,6},{3,4},{5,7}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,2,6},{3,4},{5},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,7},{3,4,6},{5}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,2},{3,4,6,7},{5}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1,2},{3,4,6},{5,7}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,2},{3,4,6},{5},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,2,7},{3,4},{5,6}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,2},{3,4,7},{5,6}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,2},{3,4},{5,6,7}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1,2},{3,4},{5,6},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,2,7},{3,4},{5},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2},{3,4,7},{5},{6}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,2},{3,4},{5,7},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,2},{3,4},{5},{6,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,2},{3,4},{5},{6},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,2,5,6,7},{3},{4}} => [5,1,1] => [[5,5,5],[4,4]] => [4,4] => 2
{{1,2,5,6},{3,7},{4}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,2,5,6},{3},{4,7}} => [4,1,2] => [[5,4,4],[3,3]] => [3,3] => 2
{{1,2,5,6},{3},{4},{7}} => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,2,5,7},{3,6},{4}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,2,5},{3,6,7},{4}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,2,5},{3,6},{4,7}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,2,5},{3,6},{4},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,5,7},{3},{4,6}} => [4,1,2] => [[5,4,4],[3,3]] => [3,3] => 2
{{1,2,5},{3,7},{4,6}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,2,5},{3},{4,6,7}} => [3,1,3] => [[5,3,3],[2,2]] => [2,2] => 2
{{1,2,5},{3},{4,6},{7}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,2,5,7},{3},{4},{6}} => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,2,5},{3,7},{4},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,5},{3},{4,7},{6}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,2,5},{3},{4},{6,7}} => [3,1,1,2] => [[4,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,2,5},{3},{4},{6},{7}} => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => 4
{{1,2,6,7},{3,5},{4}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,2,6},{3,5,7},{4}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,2,6},{3,5},{4,7}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,2,6},{3,5},{4},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,7},{3,5,6},{4}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,2},{3,5,6,7},{4}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1,2},{3,5,6},{4,7}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,2},{3,5,6},{4},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,2,7},{3,5},{4,6}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,2},{3,5,7},{4,6}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,2},{3,5},{4,6,7}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1,2},{3,5},{4,6},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,2,7},{3,5},{4},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2},{3,5,7},{4},{6}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,2},{3,5},{4,7},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,2},{3,5},{4},{6,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,2},{3,5},{4},{6},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,2,6,7},{3},{4,5}} => [4,1,2] => [[5,4,4],[3,3]] => [3,3] => 2
{{1,2,6},{3,7},{4,5}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,2,6},{3},{4,5,7}} => [3,1,3] => [[5,3,3],[2,2]] => [2,2] => 2
{{1,2,6},{3},{4,5},{7}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,2,7},{3,6},{4,5}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,2},{3,6,7},{4,5}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,2},{3,6},{4,5,7}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1,2},{3,6},{4,5},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,2,7},{3},{4,5,6}} => [3,1,3] => [[5,3,3],[2,2]] => [2,2] => 2
{{1,2},{3,7},{4,5,6}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1,2},{3},{4,5,6,7}} => [2,1,4] => [[5,2,2],[1,1]] => [1,1] => 2
{{1,2},{3},{4,5,6},{7}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,2,7},{3},{4,5},{6}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,2},{3,7},{4,5},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,2},{3},{4,5,7},{6}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,2},{3},{4,5},{6,7}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,2},{3},{4,5},{6},{7}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1,2,6,7},{3},{4},{5}} => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,2,6},{3,7},{4},{5}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,6},{3},{4,7},{5}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,2,6},{3},{4},{5,7}} => [3,1,1,2] => [[4,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,2,6},{3},{4},{5},{7}} => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => 4
{{1,2,7},{3,6},{4},{5}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2},{3,6,7},{4},{5}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,2},{3,6},{4,7},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,2},{3,6},{4},{5,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,2},{3,6},{4},{5},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,2,7},{3},{4,6},{5}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,2},{3,7},{4,6},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,2},{3},{4,6,7},{5}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,2},{3},{4,6},{5,7}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,2},{3},{4,6},{5},{7}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1,2,7},{3},{4},{5,6}} => [3,1,1,2] => [[4,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,2},{3,7},{4},{5,6}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,2},{3},{4,7},{5,6}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,2},{3},{4},{5,6,7}} => [2,1,1,3] => [[4,2,2,2],[1,1,1]] => [1,1,1] => 3
{{1,2},{3},{4},{5,6},{7}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 1
{{1,2,7},{3},{4},{5},{6}} => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => 4
{{1,2},{3,7},{4},{5},{6}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,2},{3},{4,7},{5},{6}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1,2},{3},{4},{5,7},{6}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 1
{{1,2},{3},{4},{5},{6,7}} => [2,1,1,1,2] => [[3,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => 4
{{1,2},{3},{4},{5},{6},{7}} => [2,1,1,1,1,1] => [[2,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => 5
{{1,3,4,5,6,7},{2}} => [6,1] => [[6,6],[5]] => [5] => 1
{{1,3,4,5,6},{2,7}} => [5,2] => [[6,5],[4]] => [4] => 1
{{1,3,4,5,6},{2},{7}} => [5,1,1] => [[5,5,5],[4,4]] => [4,4] => 2
{{1,3,4,5,7},{2,6}} => [5,2] => [[6,5],[4]] => [4] => 1
{{1,3,4,5},{2,6,7}} => [4,3] => [[6,4],[3]] => [3] => 1
{{1,3,4,5},{2,6},{7}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,3,4,5,7},{2},{6}} => [5,1,1] => [[5,5,5],[4,4]] => [4,4] => 2
{{1,3,4,5},{2,7},{6}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,3,4,5},{2},{6,7}} => [4,1,2] => [[5,4,4],[3,3]] => [3,3] => 2
{{1,3,4,5},{2},{6},{7}} => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,3,4,6,7},{2,5}} => [5,2] => [[6,5],[4]] => [4] => 1
{{1,3,4,6},{2,5,7}} => [4,3] => [[6,4],[3]] => [3] => 1
{{1,3,4,6},{2,5},{7}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,3,4,7},{2,5,6}} => [4,3] => [[6,4],[3]] => [3] => 1
{{1,3,4},{2,5,6,7}} => [3,4] => [[6,3],[2]] => [2] => 1
{{1,3,4},{2,5,6},{7}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,3,4,7},{2,5},{6}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,3,4},{2,5,7},{6}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,3,4},{2,5},{6,7}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,3,4},{2,5},{6},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3,4,6,7},{2},{5}} => [5,1,1] => [[5,5,5],[4,4]] => [4,4] => 2
{{1,3,4,6},{2,7},{5}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,3,4,6},{2},{5,7}} => [4,1,2] => [[5,4,4],[3,3]] => [3,3] => 2
{{1,3,4,6},{2},{5},{7}} => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,3,4,7},{2,6},{5}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,3,4},{2,6,7},{5}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,3,4},{2,6},{5,7}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,3,4},{2,6},{5},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3,4,7},{2},{5,6}} => [4,1,2] => [[5,4,4],[3,3]] => [3,3] => 2
{{1,3,4},{2,7},{5,6}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,3,4},{2},{5,6,7}} => [3,1,3] => [[5,3,3],[2,2]] => [2,2] => 2
{{1,3,4},{2},{5,6},{7}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3,4,7},{2},{5},{6}} => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,3,4},{2,7},{5},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3,4},{2},{5,7},{6}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3,4},{2},{5},{6,7}} => [3,1,1,2] => [[4,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,3,4},{2},{5},{6},{7}} => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => 4
{{1,3,5,6,7},{2,4}} => [5,2] => [[6,5],[4]] => [4] => 1
{{1,3,5,6},{2,4,7}} => [4,3] => [[6,4],[3]] => [3] => 1
{{1,3,5,6},{2,4},{7}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,3,5,7},{2,4,6}} => [4,3] => [[6,4],[3]] => [3] => 1
{{1,3,5},{2,4,6,7}} => [3,4] => [[6,3],[2]] => [2] => 1
{{1,3,5},{2,4,6},{7}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,3,5,7},{2,4},{6}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,3,5},{2,4,7},{6}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,3,5},{2,4},{6,7}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,3,5},{2,4},{6},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3,6,7},{2,4,5}} => [4,3] => [[6,4],[3]] => [3] => 1
{{1,3,6},{2,4,5,7}} => [3,4] => [[6,3],[2]] => [2] => 1
{{1,3,6},{2,4,5},{7}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,3,7},{2,4,5,6}} => [3,4] => [[6,3],[2]] => [2] => 1
{{1,3},{2,4,5,6},{7}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1,3,7},{2,4,5},{6}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,3},{2,4,5,7},{6}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1,3},{2,4,5},{6,7}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,3},{2,4,5},{6},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,3,6,7},{2,4},{5}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,3,6},{2,4,7},{5}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,3,6},{2,4},{5,7}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,3,6},{2,4},{5},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3,7},{2,4,6},{5}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,3},{2,4,6,7},{5}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1,3},{2,4,6},{5,7}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,3},{2,4,6},{5},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,3,7},{2,4},{5,6}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,3},{2,4,7},{5,6}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,3},{2,4},{5,6,7}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1,3},{2,4},{5,6},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3,7},{2,4},{5},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3},{2,4,7},{5},{6}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,3},{2,4},{5,7},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3},{2,4},{5},{6,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,3},{2,4},{5},{6},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,3,5,6,7},{2},{4}} => [5,1,1] => [[5,5,5],[4,4]] => [4,4] => 2
{{1,3,5,6},{2,7},{4}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,3,5,6},{2},{4,7}} => [4,1,2] => [[5,4,4],[3,3]] => [3,3] => 2
{{1,3,5,6},{2},{4},{7}} => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,3,5,7},{2,6},{4}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,3,5},{2,6,7},{4}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,3,5},{2,6},{4,7}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,3,5},{2,6},{4},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3,5,7},{2},{4,6}} => [4,1,2] => [[5,4,4],[3,3]] => [3,3] => 2
{{1,3,5},{2,7},{4,6}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,3,5},{2},{4,6,7}} => [3,1,3] => [[5,3,3],[2,2]] => [2,2] => 2
{{1,3,5},{2},{4,6},{7}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3,5,7},{2},{4},{6}} => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,3,5},{2,7},{4},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3,5},{2},{4,7},{6}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3,5},{2},{4},{6,7}} => [3,1,1,2] => [[4,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,3,5},{2},{4},{6},{7}} => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => 4
{{1,3,6,7},{2,5},{4}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,3,6},{2,5,7},{4}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,3,6},{2,5},{4,7}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,3,6},{2,5},{4},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3,7},{2,5,6},{4}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,3},{2,5,6,7},{4}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1,3},{2,5,6},{4,7}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,3},{2,5,6},{4},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,3,7},{2,5},{4,6}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,3},{2,5,7},{4,6}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,3},{2,5},{4,6,7}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1,3},{2,5},{4,6},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3,7},{2,5},{4},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3},{2,5,7},{4},{6}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,3},{2,5},{4,7},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3},{2,5},{4},{6,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,3},{2,5},{4},{6},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,3,6,7},{2},{4,5}} => [4,1,2] => [[5,4,4],[3,3]] => [3,3] => 2
{{1,3,6},{2,7},{4,5}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,3,6},{2},{4,5,7}} => [3,1,3] => [[5,3,3],[2,2]] => [2,2] => 2
{{1,3,6},{2},{4,5},{7}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3,7},{2,6},{4,5}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,3},{2,6,7},{4,5}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,3},{2,6},{4,5,7}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1,3},{2,6},{4,5},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3,7},{2},{4,5,6}} => [3,1,3] => [[5,3,3],[2,2]] => [2,2] => 2
{{1,3},{2,7},{4,5,6}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1,3},{2},{4,5,6,7}} => [2,1,4] => [[5,2,2],[1,1]] => [1,1] => 2
{{1,3},{2},{4,5,6},{7}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,3,7},{2},{4,5},{6}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3},{2,7},{4,5},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3},{2},{4,5,7},{6}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,3},{2},{4,5},{6,7}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,3},{2},{4,5},{6},{7}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1,3,6,7},{2},{4},{5}} => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,3,6},{2,7},{4},{5}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3,6},{2},{4,7},{5}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3,6},{2},{4},{5,7}} => [3,1,1,2] => [[4,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,3,6},{2},{4},{5},{7}} => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => 4
{{1,3,7},{2,6},{4},{5}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3},{2,6,7},{4},{5}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,3},{2,6},{4,7},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3},{2,6},{4},{5,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,3},{2,6},{4},{5},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,3,7},{2},{4,6},{5}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3},{2,7},{4,6},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3},{2},{4,6,7},{5}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,3},{2},{4,6},{5,7}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,3},{2},{4,6},{5},{7}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1,3,7},{2},{4},{5,6}} => [3,1,1,2] => [[4,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,3},{2,7},{4},{5,6}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,3},{2},{4,7},{5,6}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,3},{2},{4},{5,6,7}} => [2,1,1,3] => [[4,2,2,2],[1,1,1]] => [1,1,1] => 3
{{1,3},{2},{4},{5,6},{7}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 1
{{1,3,7},{2},{4},{5},{6}} => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => 4
{{1,3},{2,7},{4},{5},{6}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,3},{2},{4,7},{5},{6}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1,3},{2},{4},{5,7},{6}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 1
{{1,3},{2},{4},{5},{6,7}} => [2,1,1,1,2] => [[3,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => 4
{{1,3},{2},{4},{5},{6},{7}} => [2,1,1,1,1,1] => [[2,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => 5
{{1,4,5,6,7},{2,3}} => [5,2] => [[6,5],[4]] => [4] => 1
{{1,4,5,6},{2,3,7}} => [4,3] => [[6,4],[3]] => [3] => 1
{{1,4,5,6},{2,3},{7}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,4,5,7},{2,3,6}} => [4,3] => [[6,4],[3]] => [3] => 1
{{1,4,5},{2,3,6,7}} => [3,4] => [[6,3],[2]] => [2] => 1
{{1,4,5},{2,3,6},{7}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,4,5,7},{2,3},{6}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,4,5},{2,3,7},{6}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,4,5},{2,3},{6,7}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,4,5},{2,3},{6},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,4,6,7},{2,3,5}} => [4,3] => [[6,4],[3]] => [3] => 1
{{1,4,6},{2,3,5,7}} => [3,4] => [[6,3],[2]] => [2] => 1
{{1,4,6},{2,3,5},{7}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,4,7},{2,3,5,6}} => [3,4] => [[6,3],[2]] => [2] => 1
{{1,4},{2,3,5,6},{7}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1,4,7},{2,3,5},{6}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,4},{2,3,5,7},{6}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1,4},{2,3,5},{6,7}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,4},{2,3,5},{6},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,4,6,7},{2,3},{5}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,4,6},{2,3,7},{5}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,4,6},{2,3},{5,7}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,4,6},{2,3},{5},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,4,7},{2,3,6},{5}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,4},{2,3,6,7},{5}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1,4},{2,3,6},{5,7}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,4},{2,3,6},{5},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,4,7},{2,3},{5,6}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,4},{2,3,7},{5,6}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,4},{2,3},{5,6,7}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1,4},{2,3},{5,6},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4,7},{2,3},{5},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,4},{2,3,7},{5},{6}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,4},{2,3},{5,7},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4},{2,3},{5},{6,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,4},{2,3},{5},{6},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,5,6,7},{2,3,4}} => [4,3] => [[6,4],[3]] => [3] => 1
{{1,5,6},{2,3,4,7}} => [3,4] => [[6,3],[2]] => [2] => 1
{{1,5,6},{2,3,4},{7}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,5,7},{2,3,4,6}} => [3,4] => [[6,3],[2]] => [2] => 1
{{1,5},{2,3,4,6},{7}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1,5,7},{2,3,4},{6}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,5},{2,3,4,7},{6}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1,5},{2,3,4},{6,7}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,5},{2,3,4},{6},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,6,7},{2,3,4,5}} => [3,4] => [[6,3],[2]] => [2] => 1
{{1,6},{2,3,4,5},{7}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1},{2,3,4,5,6},{7}} => [1,5,1] => [[5,5,1],[4]] => [4] => 1
{{1,7},{2,3,4,5},{6}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1},{2,3,4,5,7},{6}} => [1,5,1] => [[5,5,1],[4]] => [4] => 1
{{1},{2,3,4,5},{6,7}} => [1,4,2] => [[5,4,1],[3]] => [3] => 1
{{1},{2,3,4,5},{6},{7}} => [1,4,1,1] => [[4,4,4,1],[3,3]] => [3,3] => 2
{{1,6,7},{2,3,4},{5}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,6},{2,3,4,7},{5}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1,6},{2,3,4},{5,7}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,6},{2,3,4},{5},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,7},{2,3,4,6},{5}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1},{2,3,4,6,7},{5}} => [1,5,1] => [[5,5,1],[4]] => [4] => 1
{{1},{2,3,4,6},{5,7}} => [1,4,2] => [[5,4,1],[3]] => [3] => 1
{{1},{2,3,4,6},{5},{7}} => [1,4,1,1] => [[4,4,4,1],[3,3]] => [3,3] => 2
{{1,7},{2,3,4},{5,6}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1},{2,3,4,7},{5,6}} => [1,4,2] => [[5,4,1],[3]] => [3] => 1
{{1},{2,3,4},{5,6,7}} => [1,3,3] => [[5,3,1],[2]] => [2] => 1
{{1},{2,3,4},{5,6},{7}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => [3,2] => 1
{{1,7},{2,3,4},{5},{6}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1},{2,3,4,7},{5},{6}} => [1,4,1,1] => [[4,4,4,1],[3,3]] => [3,3] => 2
{{1},{2,3,4},{5,7},{6}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,3,4},{5},{6,7}} => [1,3,1,2] => [[4,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,3,4},{5},{6},{7}} => [1,3,1,1,1] => [[3,3,3,3,1],[2,2,2]] => [2,2,2] => 3
{{1,5,6,7},{2,3},{4}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,5,6},{2,3,7},{4}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,5,6},{2,3},{4,7}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,5,6},{2,3},{4},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5,7},{2,3,6},{4}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,5},{2,3,6,7},{4}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1,5},{2,3,6},{4,7}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,5},{2,3,6},{4},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,5,7},{2,3},{4,6}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,5},{2,3,7},{4,6}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,5},{2,3},{4,6,7}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1,5},{2,3},{4,6},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5,7},{2,3},{4},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5},{2,3,7},{4},{6}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,5},{2,3},{4,7},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5},{2,3},{4},{6,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,5},{2,3},{4},{6},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,6,7},{2,3,5},{4}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,6},{2,3,5,7},{4}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1,6},{2,3,5},{4,7}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,6},{2,3,5},{4},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,7},{2,3,5,6},{4}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1},{2,3,5,6,7},{4}} => [1,5,1] => [[5,5,1],[4]] => [4] => 1
{{1},{2,3,5,6},{4,7}} => [1,4,2] => [[5,4,1],[3]] => [3] => 1
{{1},{2,3,5,6},{4},{7}} => [1,4,1,1] => [[4,4,4,1],[3,3]] => [3,3] => 2
{{1,7},{2,3,5},{4,6}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1},{2,3,5,7},{4,6}} => [1,4,2] => [[5,4,1],[3]] => [3] => 1
{{1},{2,3,5},{4,6,7}} => [1,3,3] => [[5,3,1],[2]] => [2] => 1
{{1},{2,3,5},{4,6},{7}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => [3,2] => 1
{{1,7},{2,3,5},{4},{6}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1},{2,3,5,7},{4},{6}} => [1,4,1,1] => [[4,4,4,1],[3,3]] => [3,3] => 2
{{1},{2,3,5},{4,7},{6}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,3,5},{4},{6,7}} => [1,3,1,2] => [[4,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,3,5},{4},{6},{7}} => [1,3,1,1,1] => [[3,3,3,3,1],[2,2,2]] => [2,2,2] => 3
{{1,6,7},{2,3},{4,5}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,6},{2,3,7},{4,5}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,6},{2,3},{4,5,7}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1,6},{2,3},{4,5},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,7},{2,3,6},{4,5}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1},{2,3,6,7},{4,5}} => [1,4,2] => [[5,4,1],[3]] => [3] => 1
{{1},{2,3,6},{4,5,7}} => [1,3,3] => [[5,3,1],[2]] => [2] => 1
{{1},{2,3,6},{4,5},{7}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => [3,2] => 1
{{1,7},{2,3},{4,5,6}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1},{2,3,7},{4,5,6}} => [1,3,3] => [[5,3,1],[2]] => [2] => 1
{{1},{2,3},{4,5,6},{7}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => [3,1] => 1
{{1,7},{2,3},{4,5},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1},{2,3,7},{4,5},{6}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,3},{4,5,7},{6}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,3},{4,5},{6,7}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,3},{4,5},{6},{7}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1,6,7},{2,3},{4},{5}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,6},{2,3,7},{4},{5}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,6},{2,3},{4,7},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,6},{2,3},{4},{5,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,6},{2,3},{4},{5},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,7},{2,3,6},{4},{5}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1},{2,3,6,7},{4},{5}} => [1,4,1,1] => [[4,4,4,1],[3,3]] => [3,3] => 2
{{1},{2,3,6},{4,7},{5}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,3,6},{4},{5,7}} => [1,3,1,2] => [[4,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,3,6},{4},{5},{7}} => [1,3,1,1,1] => [[3,3,3,3,1],[2,2,2]] => [2,2,2] => 3
{{1,7},{2,3},{4,6},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1},{2,3,7},{4,6},{5}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,3},{4,6,7},{5}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,3},{4,6},{5,7}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,3},{4,6},{5},{7}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1,7},{2,3},{4},{5,6}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1},{2,3,7},{4},{5,6}} => [1,3,1,2] => [[4,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,3},{4,7},{5,6}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,3},{4},{5,6,7}} => [1,2,1,3] => [[4,2,2,1],[1,1]] => [1,1] => 2
{{1},{2,3},{4},{5,6},{7}} => [1,2,1,2,1] => [[3,3,2,2,1],[2,1,1]] => [2,1,1] => 1
{{1,7},{2,3},{4},{5},{6}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1},{2,3,7},{4},{5},{6}} => [1,3,1,1,1] => [[3,3,3,3,1],[2,2,2]] => [2,2,2] => 3
{{1},{2,3},{4,7},{5},{6}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1},{2,3},{4},{5,7},{6}} => [1,2,1,2,1] => [[3,3,2,2,1],[2,1,1]] => [2,1,1] => 1
{{1},{2,3},{4},{5},{6,7}} => [1,2,1,1,2] => [[3,2,2,2,1],[1,1,1]] => [1,1,1] => 3
{{1},{2,3},{4},{5},{6},{7}} => [1,2,1,1,1,1] => [[2,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => 4
{{1,4,5,6,7},{2},{3}} => [5,1,1] => [[5,5,5],[4,4]] => [4,4] => 2
{{1,4,5,6},{2,7},{3}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,4,5,6},{2},{3,7}} => [4,1,2] => [[5,4,4],[3,3]] => [3,3] => 2
{{1,4,5,6},{2},{3},{7}} => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,4,5,7},{2,6},{3}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,4,5},{2,6,7},{3}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,4,5},{2,6},{3,7}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,4,5},{2,6},{3},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,4,5,7},{2},{3,6}} => [4,1,2] => [[5,4,4],[3,3]] => [3,3] => 2
{{1,4,5},{2,7},{3,6}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,4,5},{2},{3,6,7}} => [3,1,3] => [[5,3,3],[2,2]] => [2,2] => 2
{{1,4,5},{2},{3,6},{7}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,4,5,7},{2},{3},{6}} => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,4,5},{2,7},{3},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,4,5},{2},{3,7},{6}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,4,5},{2},{3},{6,7}} => [3,1,1,2] => [[4,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,4,5},{2},{3},{6},{7}} => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => 4
{{1,4,6,7},{2,5},{3}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,4,6},{2,5,7},{3}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,4,6},{2,5},{3,7}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,4,6},{2,5},{3},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,4,7},{2,5,6},{3}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,4},{2,5,6,7},{3}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1,4},{2,5,6},{3,7}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,4},{2,5,6},{3},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,4,7},{2,5},{3,6}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,4},{2,5,7},{3,6}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,4},{2,5},{3,6,7}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1,4},{2,5},{3,6},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4,7},{2,5},{3},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,4},{2,5,7},{3},{6}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,4},{2,5},{3,7},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4},{2,5},{3},{6,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,4},{2,5},{3},{6},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,4,6,7},{2},{3,5}} => [4,1,2] => [[5,4,4],[3,3]] => [3,3] => 2
{{1,4,6},{2,7},{3,5}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,4,6},{2},{3,5,7}} => [3,1,3] => [[5,3,3],[2,2]] => [2,2] => 2
{{1,4,6},{2},{3,5},{7}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,4,7},{2,6},{3,5}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,4},{2,6,7},{3,5}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,4},{2,6},{3,5,7}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1,4},{2,6},{3,5},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4,7},{2},{3,5,6}} => [3,1,3] => [[5,3,3],[2,2]] => [2,2] => 2
{{1,4},{2,7},{3,5,6}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1,4},{2},{3,5,6,7}} => [2,1,4] => [[5,2,2],[1,1]] => [1,1] => 2
{{1,4},{2},{3,5,6},{7}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,4,7},{2},{3,5},{6}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,4},{2,7},{3,5},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4},{2},{3,5,7},{6}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,4},{2},{3,5},{6,7}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,4},{2},{3,5},{6},{7}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1,4,6,7},{2},{3},{5}} => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,4,6},{2,7},{3},{5}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,4,6},{2},{3,7},{5}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,4,6},{2},{3},{5,7}} => [3,1,1,2] => [[4,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,4,6},{2},{3},{5},{7}} => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => 4
{{1,4,7},{2,6},{3},{5}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,4},{2,6,7},{3},{5}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,4},{2,6},{3,7},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4},{2,6},{3},{5,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,4},{2,6},{3},{5},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,4,7},{2},{3,6},{5}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,4},{2,7},{3,6},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4},{2},{3,6,7},{5}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,4},{2},{3,6},{5,7}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,4},{2},{3,6},{5},{7}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1,4,7},{2},{3},{5,6}} => [3,1,1,2] => [[4,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,4},{2,7},{3},{5,6}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,4},{2},{3,7},{5,6}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,4},{2},{3},{5,6,7}} => [2,1,1,3] => [[4,2,2,2],[1,1,1]] => [1,1,1] => 3
{{1,4},{2},{3},{5,6},{7}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 1
{{1,4,7},{2},{3},{5},{6}} => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => 4
{{1,4},{2,7},{3},{5},{6}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,4},{2},{3,7},{5},{6}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1,4},{2},{3},{5,7},{6}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 1
{{1,4},{2},{3},{5},{6,7}} => [2,1,1,1,2] => [[3,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => 4
{{1,4},{2},{3},{5},{6},{7}} => [2,1,1,1,1,1] => [[2,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => 5
{{1,5,6,7},{2,4},{3}} => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 1
{{1,5,6},{2,4,7},{3}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,5,6},{2,4},{3,7}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,5,6},{2,4},{3},{7}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5,7},{2,4,6},{3}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,5},{2,4,6,7},{3}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1,5},{2,4,6},{3,7}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,5},{2,4,6},{3},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,5,7},{2,4},{3,6}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,5},{2,4,7},{3,6}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,5},{2,4},{3,6,7}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1,5},{2,4},{3,6},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5,7},{2,4},{3},{6}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5},{2,4,7},{3},{6}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,5},{2,4},{3,7},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5},{2,4},{3},{6,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,5},{2,4},{3},{6},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,6,7},{2,4,5},{3}} => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 1
{{1,6},{2,4,5,7},{3}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1,6},{2,4,5},{3,7}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,6},{2,4,5},{3},{7}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,7},{2,4,5,6},{3}} => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 1
{{1},{2,4,5,6,7},{3}} => [1,5,1] => [[5,5,1],[4]] => [4] => 1
{{1},{2,4,5,6},{3,7}} => [1,4,2] => [[5,4,1],[3]] => [3] => 1
{{1},{2,4,5,6},{3},{7}} => [1,4,1,1] => [[4,4,4,1],[3,3]] => [3,3] => 2
{{1,7},{2,4,5},{3,6}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1},{2,4,5,7},{3,6}} => [1,4,2] => [[5,4,1],[3]] => [3] => 1
{{1},{2,4,5},{3,6,7}} => [1,3,3] => [[5,3,1],[2]] => [2] => 1
{{1},{2,4,5},{3,6},{7}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => [3,2] => 1
{{1,7},{2,4,5},{3},{6}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1},{2,4,5,7},{3},{6}} => [1,4,1,1] => [[4,4,4,1],[3,3]] => [3,3] => 2
{{1},{2,4,5},{3,7},{6}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,4,5},{3},{6,7}} => [1,3,1,2] => [[4,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,4,5},{3},{6},{7}} => [1,3,1,1,1] => [[3,3,3,3,1],[2,2,2]] => [2,2,2] => 3
{{1,6,7},{2,4},{3,5}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,6},{2,4,7},{3,5}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,6},{2,4},{3,5,7}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1,6},{2,4},{3,5},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,7},{2,4,6},{3,5}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1},{2,4,6,7},{3,5}} => [1,4,2] => [[5,4,1],[3]] => [3] => 1
{{1},{2,4,6},{3,5,7}} => [1,3,3] => [[5,3,1],[2]] => [2] => 1
{{1},{2,4,6},{3,5},{7}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => [3,2] => 1
{{1,7},{2,4},{3,5,6}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1},{2,4,7},{3,5,6}} => [1,3,3] => [[5,3,1],[2]] => [2] => 1
{{1},{2,4},{3,5,6},{7}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => [3,1] => 1
{{1,7},{2,4},{3,5},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1},{2,4,7},{3,5},{6}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,4},{3,5,7},{6}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,4},{3,5},{6,7}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,4},{3,5},{6},{7}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1,6,7},{2,4},{3},{5}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,6},{2,4,7},{3},{5}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,6},{2,4},{3,7},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,6},{2,4},{3},{5,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,6},{2,4},{3},{5},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,7},{2,4,6},{3},{5}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1},{2,4,6,7},{3},{5}} => [1,4,1,1] => [[4,4,4,1],[3,3]] => [3,3] => 2
{{1},{2,4,6},{3,7},{5}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,4,6},{3},{5,7}} => [1,3,1,2] => [[4,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,4,6},{3},{5},{7}} => [1,3,1,1,1] => [[3,3,3,3,1],[2,2,2]] => [2,2,2] => 3
{{1,7},{2,4},{3,6},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1},{2,4,7},{3,6},{5}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,4},{3,6,7},{5}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,4},{3,6},{5,7}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,4},{3,6},{5},{7}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1,7},{2,4},{3},{5,6}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1},{2,4,7},{3},{5,6}} => [1,3,1,2] => [[4,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,4},{3,7},{5,6}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,4},{3},{5,6,7}} => [1,2,1,3] => [[4,2,2,1],[1,1]] => [1,1] => 2
{{1},{2,4},{3},{5,6},{7}} => [1,2,1,2,1] => [[3,3,2,2,1],[2,1,1]] => [2,1,1] => 1
{{1,7},{2,4},{3},{5},{6}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1},{2,4,7},{3},{5},{6}} => [1,3,1,1,1] => [[3,3,3,3,1],[2,2,2]] => [2,2,2] => 3
{{1},{2,4},{3,7},{5},{6}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1},{2,4},{3},{5,7},{6}} => [1,2,1,2,1] => [[3,3,2,2,1],[2,1,1]] => [2,1,1] => 1
{{1},{2,4},{3},{5},{6,7}} => [1,2,1,1,2] => [[3,2,2,2,1],[1,1,1]] => [1,1,1] => 3
{{1},{2,4},{3},{5},{6},{7}} => [1,2,1,1,1,1] => [[2,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => 4
{{1,5,6,7},{2},{3,4}} => [4,1,2] => [[5,4,4],[3,3]] => [3,3] => 2
{{1,5,6},{2,7},{3,4}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,5,6},{2},{3,4,7}} => [3,1,3] => [[5,3,3],[2,2]] => [2,2] => 2
{{1,5,6},{2},{3,4},{7}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,5,7},{2,6},{3,4}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,5},{2,6,7},{3,4}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,5},{2,6},{3,4,7}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1,5},{2,6},{3,4},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5,7},{2},{3,4,6}} => [3,1,3] => [[5,3,3],[2,2]] => [2,2] => 2
{{1,5},{2,7},{3,4,6}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1,5},{2},{3,4,6,7}} => [2,1,4] => [[5,2,2],[1,1]] => [1,1] => 2
{{1,5},{2},{3,4,6},{7}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,5,7},{2},{3,4},{6}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,5},{2,7},{3,4},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5},{2},{3,4,7},{6}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,5},{2},{3,4},{6,7}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,5},{2},{3,4},{6},{7}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1,6,7},{2,5},{3,4}} => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 1
{{1,6},{2,5,7},{3,4}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1,6},{2,5},{3,4,7}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1,6},{2,5},{3,4},{7}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,7},{2,5,6},{3,4}} => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 1
{{1},{2,5,6,7},{3,4}} => [1,4,2] => [[5,4,1],[3]] => [3] => 1
{{1},{2,5,6},{3,4,7}} => [1,3,3] => [[5,3,1],[2]] => [2] => 1
{{1},{2,5,6},{3,4},{7}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => [3,2] => 1
{{1,7},{2,5},{3,4,6}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1},{2,5,7},{3,4,6}} => [1,3,3] => [[5,3,1],[2]] => [2] => 1
{{1},{2,5},{3,4,6},{7}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => [3,1] => 1
{{1,7},{2,5},{3,4},{6}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1},{2,5,7},{3,4},{6}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,5},{3,4,7},{6}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,5},{3,4},{6,7}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,5},{3,4},{6},{7}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1,6,7},{2},{3,4,5}} => [3,1,3] => [[5,3,3],[2,2]] => [2,2] => 2
{{1,6},{2,7},{3,4,5}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1,6},{2},{3,4,5,7}} => [2,1,4] => [[5,2,2],[1,1]] => [1,1] => 2
{{1,6},{2},{3,4,5},{7}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,7},{2,6},{3,4,5}} => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 1
{{1},{2,6,7},{3,4,5}} => [1,3,3] => [[5,3,1],[2]] => [2] => 1
{{1},{2,6},{3,4,5},{7}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => [3,1] => 1
{{1,7},{2},{3,4,5,6}} => [2,1,4] => [[5,2,2],[1,1]] => [1,1] => 2
{{1},{2},{3,4,5,6},{7}} => [1,1,4,1] => [[4,4,1,1],[3]] => [3] => 1
{{1,7},{2},{3,4,5},{6}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1},{2,7},{3,4,5},{6}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => [3,1] => 1
{{1},{2},{3,4,5,7},{6}} => [1,1,4,1] => [[4,4,1,1],[3]] => [3] => 1
{{1},{2},{3,4,5},{6,7}} => [1,1,3,2] => [[4,3,1,1],[2]] => [2] => 1
{{1},{2},{3,4,5},{6},{7}} => [1,1,3,1,1] => [[3,3,3,1,1],[2,2]] => [2,2] => 2
{{1,6,7},{2},{3,4},{5}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,6},{2,7},{3,4},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,6},{2},{3,4,7},{5}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,6},{2},{3,4},{5,7}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,6},{2},{3,4},{5},{7}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1,7},{2,6},{3,4},{5}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1},{2,6,7},{3,4},{5}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,6},{3,4,7},{5}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,6},{3,4},{5,7}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,6},{3,4},{5},{7}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1,7},{2},{3,4,6},{5}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1},{2,7},{3,4,6},{5}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => [3,1] => 1
{{1},{2},{3,4,6,7},{5}} => [1,1,4,1] => [[4,4,1,1],[3]] => [3] => 1
{{1},{2},{3,4,6},{5,7}} => [1,1,3,2] => [[4,3,1,1],[2]] => [2] => 1
{{1},{2},{3,4,6},{5},{7}} => [1,1,3,1,1] => [[3,3,3,1,1],[2,2]] => [2,2] => 2
{{1,7},{2},{3,4},{5,6}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1},{2,7},{3,4},{5,6}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => [2,1] => 1
{{1},{2},{3,4,7},{5,6}} => [1,1,3,2] => [[4,3,1,1],[2]] => [2] => 1
{{1},{2},{3,4},{5,6},{7}} => [1,1,2,2,1] => [[3,3,2,1,1],[2,1]] => [2,1] => 1
{{1,7},{2},{3,4},{5},{6}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1},{2,7},{3,4},{5},{6}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1},{2},{3,4,7},{5},{6}} => [1,1,3,1,1] => [[3,3,3,1,1],[2,2]] => [2,2] => 2
{{1},{2},{3,4},{5,7},{6}} => [1,1,2,2,1] => [[3,3,2,1,1],[2,1]] => [2,1] => 1
{{1},{2},{3,4},{5},{6,7}} => [1,1,2,1,2] => [[3,2,2,1,1],[1,1]] => [1,1] => 2
{{1},{2},{3,4},{5},{6},{7}} => [1,1,2,1,1,1] => [[2,2,2,2,1,1],[1,1,1]] => [1,1,1] => 3
{{1,5,6,7},{2},{3},{4}} => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,5,6},{2,7},{3},{4}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5,6},{2},{3,7},{4}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,5,6},{2},{3},{4,7}} => [3,1,1,2] => [[4,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,5,6},{2},{3},{4},{7}} => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => 4
{{1,5,7},{2,6},{3},{4}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5},{2,6,7},{3},{4}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,5},{2,6},{3,7},{4}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5},{2,6},{3},{4,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,5},{2,6},{3},{4},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,5,7},{2},{3,6},{4}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,5},{2,7},{3,6},{4}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5},{2},{3,6,7},{4}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,5},{2},{3,6},{4,7}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,5},{2},{3,6},{4},{7}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1,5,7},{2},{3},{4,6}} => [3,1,1,2] => [[4,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,5},{2,7},{3},{4,6}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,5},{2},{3,7},{4,6}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,5},{2},{3},{4,6,7}} => [2,1,1,3] => [[4,2,2,2],[1,1,1]] => [1,1,1] => 3
{{1,5},{2},{3},{4,6},{7}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 1
{{1,5,7},{2},{3},{4},{6}} => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => 4
{{1,5},{2,7},{3},{4},{6}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,5},{2},{3,7},{4},{6}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1,5},{2},{3},{4,7},{6}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 1
{{1,5},{2},{3},{4},{6,7}} => [2,1,1,1,2] => [[3,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => 4
{{1,5},{2},{3},{4},{6},{7}} => [2,1,1,1,1,1] => [[2,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => 5
{{1,6,7},{2,5},{3},{4}} => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,6},{2,5,7},{3},{4}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,6},{2,5},{3,7},{4}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,6},{2,5},{3},{4,7}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,6},{2,5},{3},{4},{7}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,7},{2,5,6},{3},{4}} => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1},{2,5,6,7},{3},{4}} => [1,4,1,1] => [[4,4,4,1],[3,3]] => [3,3] => 2
{{1},{2,5,6},{3,7},{4}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,5,6},{3},{4,7}} => [1,3,1,2] => [[4,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,5,6},{3},{4},{7}} => [1,3,1,1,1] => [[3,3,3,3,1],[2,2,2]] => [2,2,2] => 3
{{1,7},{2,5},{3,6},{4}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1},{2,5,7},{3,6},{4}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,5},{3,6,7},{4}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,5},{3,6},{4,7}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,5},{3,6},{4},{7}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1,7},{2,5},{3},{4,6}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1},{2,5,7},{3},{4,6}} => [1,3,1,2] => [[4,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,5},{3,7},{4,6}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,5},{3},{4,6,7}} => [1,2,1,3] => [[4,2,2,1],[1,1]] => [1,1] => 2
{{1},{2,5},{3},{4,6},{7}} => [1,2,1,2,1] => [[3,3,2,2,1],[2,1,1]] => [2,1,1] => 1
{{1,7},{2,5},{3},{4},{6}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1},{2,5,7},{3},{4},{6}} => [1,3,1,1,1] => [[3,3,3,3,1],[2,2,2]] => [2,2,2] => 3
{{1},{2,5},{3,7},{4},{6}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1},{2,5},{3},{4,7},{6}} => [1,2,1,2,1] => [[3,3,2,2,1],[2,1,1]] => [2,1,1] => 1
{{1},{2,5},{3},{4},{6,7}} => [1,2,1,1,2] => [[3,2,2,2,1],[1,1,1]] => [1,1,1] => 3
{{1},{2,5},{3},{4},{6},{7}} => [1,2,1,1,1,1] => [[2,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => 4
{{1,6,7},{2},{3,5},{4}} => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,6},{2,7},{3,5},{4}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,6},{2},{3,5,7},{4}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,6},{2},{3,5},{4,7}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,6},{2},{3,5},{4},{7}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1,7},{2,6},{3,5},{4}} => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1},{2,6,7},{3,5},{4}} => [1,3,2,1] => [[4,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,6},{3,5,7},{4}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,6},{3,5},{4,7}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,6},{3,5},{4},{7}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1,7},{2},{3,5,6},{4}} => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1},{2,7},{3,5,6},{4}} => [1,2,3,1] => [[4,4,2,1],[3,1]] => [3,1] => 1
{{1},{2},{3,5,6,7},{4}} => [1,1,4,1] => [[4,4,1,1],[3]] => [3] => 1
{{1},{2},{3,5,6},{4,7}} => [1,1,3,2] => [[4,3,1,1],[2]] => [2] => 1
{{1},{2},{3,5,6},{4},{7}} => [1,1,3,1,1] => [[3,3,3,1,1],[2,2]] => [2,2] => 2
{{1,7},{2},{3,5},{4,6}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1},{2,7},{3,5},{4,6}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => [2,1] => 1
{{1},{2},{3,5,7},{4,6}} => [1,1,3,2] => [[4,3,1,1],[2]] => [2] => 1
{{1},{2},{3,5},{4,6},{7}} => [1,1,2,2,1] => [[3,3,2,1,1],[2,1]] => [2,1] => 1
{{1,7},{2},{3,5},{4},{6}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1},{2,7},{3,5},{4},{6}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1},{2},{3,5,7},{4},{6}} => [1,1,3,1,1] => [[3,3,3,1,1],[2,2]] => [2,2] => 2
{{1},{2},{3,5},{4,7},{6}} => [1,1,2,2,1] => [[3,3,2,1,1],[2,1]] => [2,1] => 1
{{1},{2},{3,5},{4},{6,7}} => [1,1,2,1,2] => [[3,2,2,1,1],[1,1]] => [1,1] => 2
{{1},{2},{3,5},{4},{6},{7}} => [1,1,2,1,1,1] => [[2,2,2,2,1,1],[1,1,1]] => [1,1,1] => 3
{{1,6,7},{2},{3},{4,5}} => [3,1,1,2] => [[4,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,6},{2,7},{3},{4,5}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,6},{2},{3,7},{4,5}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,6},{2},{3},{4,5,7}} => [2,1,1,3] => [[4,2,2,2],[1,1,1]] => [1,1,1] => 3
{{1,6},{2},{3},{4,5},{7}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 1
{{1,7},{2,6},{3},{4,5}} => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1},{2,6,7},{3},{4,5}} => [1,3,1,2] => [[4,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,6},{3,7},{4,5}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,6},{3},{4,5,7}} => [1,2,1,3] => [[4,2,2,1],[1,1]] => [1,1] => 2
{{1},{2,6},{3},{4,5},{7}} => [1,2,1,2,1] => [[3,3,2,2,1],[2,1,1]] => [2,1,1] => 1
{{1,7},{2},{3,6},{4,5}} => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1},{2,7},{3,6},{4,5}} => [1,2,2,2] => [[4,3,2,1],[2,1]] => [2,1] => 1
{{1},{2},{3,6,7},{4,5}} => [1,1,3,2] => [[4,3,1,1],[2]] => [2] => 1
{{1},{2},{3,6},{4,5},{7}} => [1,1,2,2,1] => [[3,3,2,1,1],[2,1]] => [2,1] => 1
{{1,7},{2},{3},{4,5,6}} => [2,1,1,3] => [[4,2,2,2],[1,1,1]] => [1,1,1] => 3
{{1},{2,7},{3},{4,5,6}} => [1,2,1,3] => [[4,2,2,1],[1,1]] => [1,1] => 2
{{1},{2},{3},{4,5,6},{7}} => [1,1,1,3,1] => [[3,3,1,1,1],[2]] => [2] => 1
{{1,7},{2},{3},{4,5},{6}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 1
{{1},{2,7},{3},{4,5},{6}} => [1,2,1,2,1] => [[3,3,2,2,1],[2,1,1]] => [2,1,1] => 1
{{1},{2},{3,7},{4,5},{6}} => [1,1,2,2,1] => [[3,3,2,1,1],[2,1]] => [2,1] => 1
{{1},{2},{3},{4,5,7},{6}} => [1,1,1,3,1] => [[3,3,1,1,1],[2]] => [2] => 1
{{1},{2},{3},{4,5},{6},{7}} => [1,1,1,2,1,1] => [[2,2,2,1,1,1],[1,1]] => [1,1] => 2
{{1,6,7},{2},{3},{4},{5}} => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => 4
{{1,6},{2,7},{3},{4},{5}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,6},{2},{3,7},{4},{5}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1,6},{2},{3},{4,7},{5}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 1
{{1,6},{2},{3},{4},{5,7}} => [2,1,1,1,2] => [[3,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => 4
{{1,6},{2},{3},{4},{5},{7}} => [2,1,1,1,1,1] => [[2,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => 5
{{1,7},{2,6},{3},{4},{5}} => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1},{2,6,7},{3},{4},{5}} => [1,3,1,1,1] => [[3,3,3,3,1],[2,2,2]] => [2,2,2] => 3
{{1},{2,6},{3,7},{4},{5}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1},{2,6},{3},{4,7},{5}} => [1,2,1,2,1] => [[3,3,2,2,1],[2,1,1]] => [2,1,1] => 1
{{1},{2,6},{3},{4},{5,7}} => [1,2,1,1,2] => [[3,2,2,2,1],[1,1,1]] => [1,1,1] => 3
{{1},{2,6},{3},{4},{5},{7}} => [1,2,1,1,1,1] => [[2,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => 4
{{1,7},{2},{3,6},{4},{5}} => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1},{2,7},{3,6},{4},{5}} => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1},{2},{3,6,7},{4},{5}} => [1,1,3,1,1] => [[3,3,3,1,1],[2,2]] => [2,2] => 2
{{1},{2},{3,6},{4,7},{5}} => [1,1,2,2,1] => [[3,3,2,1,1],[2,1]] => [2,1] => 1
{{1},{2},{3,6},{4},{5,7}} => [1,1,2,1,2] => [[3,2,2,1,1],[1,1]] => [1,1] => 2
{{1},{2},{3,6},{4},{5},{7}} => [1,1,2,1,1,1] => [[2,2,2,2,1,1],[1,1,1]] => [1,1,1] => 3
{{1,7},{2},{3},{4,6},{5}} => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 1
{{1},{2,7},{3},{4,6},{5}} => [1,2,1,2,1] => [[3,3,2,2,1],[2,1,1]] => [2,1,1] => 1
{{1},{2},{3,7},{4,6},{5}} => [1,1,2,2,1] => [[3,3,2,1,1],[2,1]] => [2,1] => 1
{{1},{2},{3},{4,6,7},{5}} => [1,1,1,3,1] => [[3,3,1,1,1],[2]] => [2] => 1
{{1},{2},{3},{4,6},{5},{7}} => [1,1,1,2,1,1] => [[2,2,2,1,1,1],[1,1]] => [1,1] => 2
{{1,7},{2},{3},{4},{5,6}} => [2,1,1,1,2] => [[3,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => 4
{{1},{2,7},{3},{4},{5,6}} => [1,2,1,1,2] => [[3,2,2,2,1],[1,1,1]] => [1,1,1] => 3
{{1},{2},{3,7},{4},{5,6}} => [1,1,2,1,2] => [[3,2,2,1,1],[1,1]] => [1,1] => 2
{{1,7},{2},{3},{4},{5},{6}} => [2,1,1,1,1,1] => [[2,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => 5
{{1},{2,7},{3},{4},{5},{6}} => [1,2,1,1,1,1] => [[2,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => 4
{{1},{2},{3,7},{4},{5},{6}} => [1,1,2,1,1,1] => [[2,2,2,2,1,1],[1,1,1]] => [1,1,1] => 3
{{1},{2},{3},{4,7},{5},{6}} => [1,1,1,2,1,1] => [[2,2,2,1,1,1],[1,1]] => [1,1] => 2
{{1,2},{3,4},{5,6},{7,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3},{2,4},{5,6},{7,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4},{2,3},{5,6},{7,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5},{2,3},{4,6},{7,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,6},{2,3},{4,5},{7,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,7},{2,3},{4,5},{6,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,8},{2,3},{4,5},{6,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,8},{2,4},{3,5},{6,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,7},{2,4},{3,5},{6,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,6},{2,4},{3,5},{7,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5},{2,4},{3,6},{7,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4},{2,5},{3,6},{7,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3},{2,5},{4,6},{7,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,2},{3,5},{4,6},{7,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,2},{3,6},{4,5},{7,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3},{2,6},{4,5},{7,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4},{2,6},{3,5},{7,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5},{2,6},{3,4},{7,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,6},{2,5},{3,4},{7,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,7},{2,5},{3,4},{6,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,8},{2,5},{3,4},{6,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,8},{2,6},{3,4},{5,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,7},{2,6},{3,4},{5,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,6},{2,7},{3,4},{5,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5},{2,7},{3,4},{6,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4},{2,7},{3,5},{6,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3},{2,7},{4,5},{6,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,2},{3,7},{4,5},{6,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,2},{3,8},{4,5},{6,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3},{2,8},{4,5},{6,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4},{2,8},{3,5},{6,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5},{2,8},{3,4},{6,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,6},{2,8},{3,4},{5,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,7},{2,8},{3,4},{5,6}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,8},{2,7},{3,4},{5,6}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,8},{2,7},{3,5},{4,6}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,7},{2,8},{3,5},{4,6}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,6},{2,8},{3,5},{4,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5},{2,8},{3,6},{4,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4},{2,8},{3,6},{5,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3},{2,8},{4,6},{5,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,2},{3,8},{4,6},{5,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,2},{3,7},{4,6},{5,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3},{2,7},{4,6},{5,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4},{2,7},{3,6},{5,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5},{2,7},{3,6},{4,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,6},{2,7},{3,5},{4,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,7},{2,6},{3,5},{4,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,8},{2,6},{3,5},{4,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,8},{2,5},{3,6},{4,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,7},{2,5},{3,6},{4,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,6},{2,5},{3,7},{4,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5},{2,6},{3,7},{4,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4},{2,6},{3,7},{5,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3},{2,6},{4,7},{5,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,2},{3,6},{4,7},{5,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,2},{3,5},{4,7},{6,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3},{2,5},{4,7},{6,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4},{2,5},{3,7},{6,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5},{2,4},{3,7},{6,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,6},{2,4},{3,7},{5,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,7},{2,4},{3,6},{5,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,8},{2,4},{3,6},{5,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,8},{2,3},{4,6},{5,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,7},{2,3},{4,6},{5,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,6},{2,3},{4,7},{5,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5},{2,3},{4,7},{6,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4},{2,3},{5,7},{6,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3},{2,4},{5,7},{6,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,2},{3,4},{5,7},{6,8}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,2},{3,4},{5,8},{6,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3},{2,4},{5,8},{6,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4},{2,3},{5,8},{6,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5},{2,3},{4,8},{6,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,6},{2,3},{4,8},{5,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,7},{2,3},{4,8},{5,6}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,8},{2,3},{4,7},{5,6}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,8},{2,4},{3,7},{5,6}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,7},{2,4},{3,8},{5,6}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,6},{2,4},{3,8},{5,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5},{2,4},{3,8},{6,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4},{2,5},{3,8},{6,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3},{2,5},{4,8},{6,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,2},{3,5},{4,8},{6,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,2},{3,6},{4,8},{5,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3},{2,6},{4,8},{5,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4},{2,6},{3,8},{5,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5},{2,6},{3,8},{4,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,6},{2,5},{3,8},{4,7}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,7},{2,5},{3,8},{4,6}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,8},{2,5},{3,7},{4,6}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,8},{2,6},{3,7},{4,5}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,7},{2,6},{3,8},{4,5}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,6},{2,7},{3,8},{4,5}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5},{2,7},{3,8},{4,6}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4},{2,7},{3,8},{5,6}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3},{2,7},{4,8},{5,6}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,2},{3,7},{4,8},{5,6}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,2},{3,8},{4,7},{5,6}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,3},{2,8},{4,7},{5,6}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,4},{2,8},{3,7},{5,6}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,5},{2,8},{3,7},{4,6}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,6},{2,8},{3,7},{4,5}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,7},{2,8},{3,6},{4,5}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1,8},{2,7},{3,6},{4,5}} => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 1
{{1},{2},{3},{4},{5,6},{7},{8}} => [1,1,1,1,2,1,1] => [[2,2,2,1,1,1,1],[1,1]] => [1,1] => 2
{{1},{2},{3},{4},{5,7},{6},{8}} => [1,1,1,1,2,1,1] => [[2,2,2,1,1,1,1],[1,1]] => [1,1] => 2
{{1},{2},{3},{4},{5,8},{6},{7}} => [1,1,1,1,2,1,1] => [[2,2,2,1,1,1,1],[1,1]] => [1,1] => 2
{{1},{2},{3},{4,5},{6},{7,8}} => [1,1,1,2,1,2] => [[3,2,2,1,1,1],[1,1]] => [1,1] => 2
{{1},{2},{3},{4,8},{5},{6},{7}} => [1,1,1,2,1,1,1] => [[2,2,2,2,1,1,1],[1,1,1]] => [1,1,1] => 3
{{1},{2},{3},{4,8},{5,6},{7}} => [1,1,1,2,2,1] => [[3,3,2,1,1,1],[2,1]] => [2,1] => 1
{{1},{2},{3},{4,7,8},{5,6}} => [1,1,1,3,2] => [[4,3,1,1,1],[2]] => [2] => 1
{{1},{2},{3},{4,8},{5,7},{6}} => [1,1,1,2,2,1] => [[3,3,2,1,1,1],[2,1]] => [2,1] => 1
{{1},{2},{3,4},{5},{6},{7,8}} => [1,1,2,1,1,2] => [[3,2,2,2,1,1],[1,1,1]] => [1,1,1] => 3
{{1},{2},{3,4},{5},{6,8},{7}} => [1,1,2,1,2,1] => [[3,3,2,2,1,1],[2,1,1]] => [2,1,1] => 1
{{1},{2},{3,4},{5,6},{7},{8}} => [1,1,2,2,1,1] => [[3,3,3,2,1,1],[2,2,1]] => [2,2,1] => 2
{{1},{2},{3,4},{5,8},{6},{7}} => [1,1,2,2,1,1] => [[3,3,3,2,1,1],[2,2,1]] => [2,2,1] => 2
{{1},{2},{3,4},{5,8},{6,7}} => [1,1,2,2,2] => [[4,3,2,1,1],[2,1]] => [2,1] => 1
{{1},{2},{3,8},{4},{5},{6},{7}} => [1,1,2,1,1,1,1] => [[2,2,2,2,2,1,1],[1,1,1,1]] => [1,1,1,1] => 4
{{1},{2},{3,7,8},{4},{5,6}} => [1,1,3,1,2] => [[4,3,3,1,1],[2,2]] => [2,2] => 2
{{1},{2},{3,5,8},{4},{6,7}} => [1,1,3,1,2] => [[4,3,3,1,1],[2,2]] => [2,2] => 2
{{1},{2},{3,4,5},{6,7,8}} => [1,1,3,3] => [[5,3,1,1],[2]] => [2] => 1
{{1},{2},{3,8},{4,5},{6},{7}} => [1,1,2,2,1,1] => [[3,3,3,2,1,1],[2,2,1]] => [2,2,1] => 2
{{1},{2},{3,8},{4,6},{5},{7}} => [1,1,2,2,1,1] => [[3,3,3,2,1,1],[2,2,1]] => [2,2,1] => 2
{{1},{2},{3,7,8},{4,6},{5}} => [1,1,3,2,1] => [[4,4,3,1,1],[3,2]] => [3,2] => 1
{{1},{2},{3,8},{4,7},{5},{6}} => [1,1,2,2,1,1] => [[3,3,3,2,1,1],[2,2,1]] => [2,2,1] => 2
{{1},{2},{3,8},{4,6,7},{5}} => [1,1,2,3,1] => [[4,4,2,1,1],[3,1]] => [3,1] => 1
{{1},{2},{3,8},{4,5,6},{7}} => [1,1,2,3,1] => [[4,4,2,1,1],[3,1]] => [3,1] => 1
{{1},{2},{3,7,8},{4,5,6}} => [1,1,3,3] => [[5,3,1,1],[2]] => [2] => 1
{{1},{2},{3,8},{4,7},{5,6}} => [1,1,2,2,2] => [[4,3,2,1,1],[2,1]] => [2,1] => 1
{{1},{2},{3,4,8},{5,6,7}} => [1,1,3,3] => [[5,3,1,1],[2]] => [2] => 1
{{1},{2,3},{4},{5},{6},{7,8}} => [1,2,1,1,1,2] => [[3,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => 4
{{1},{2,3},{4},{5},{6,7},{8}} => [1,2,1,1,2,1] => [[3,3,2,2,2,1],[2,1,1,1]] => [2,1,1,1] => 1
{{1},{2,3},{4},{5},{6,8},{7}} => [1,2,1,1,2,1] => [[3,3,2,2,2,1],[2,1,1,1]] => [2,1,1,1] => 1
{{1},{2,3},{4},{5,8},{6,7}} => [1,2,1,2,2] => [[4,3,2,2,1],[2,1,1]] => [2,1,1] => 1
{{1},{2,3},{4,5},{6,7},{8}} => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 1
{{1},{2,3},{4,5},{6,8},{7}} => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 1
{{1},{2,3},{4,5},{6,7,8}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,3},{4,6,7},{5},{8}} => [1,2,3,1,1] => [[4,4,4,2,1],[3,3,1]] => [3,3,1] => 2
{{1},{2,3},{4,6,8},{5},{7}} => [1,2,3,1,1] => [[4,4,4,2,1],[3,3,1]] => [3,3,1] => 2
{{1},{2,3},{4,5,6},{7,8}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,3},{4,7},{5,6},{8}} => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 1
{{1},{2,3},{4,8},{5,6},{7}} => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 1
{{1},{2,3},{4,7,8},{5,6}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,3},{4,8},{5,7},{6}} => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 1
{{1},{2,3},{4,5,8},{6},{7}} => [1,2,3,1,1] => [[4,4,4,2,1],[3,3,1]] => [3,3,1] => 2
{{1},{2,3},{4,8},{5,6,7}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,3},{4,5,8},{6,7}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,4},{3},{5},{6},{7,8}} => [1,2,1,1,1,2] => [[3,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => 4
{{1},{2,4},{3},{5},{6,8},{7}} => [1,2,1,1,2,1] => [[3,3,2,2,2,1],[2,1,1,1]] => [2,1,1,1] => 1
{{1},{2,4},{3},{5,6},{7,8}} => [1,2,1,2,2] => [[4,3,2,2,1],[2,1,1]] => [2,1,1] => 1
{{1},{2,4},{3},{5,7},{6},{8}} => [1,2,1,2,1,1] => [[3,3,3,2,2,1],[2,2,1,1]] => [2,2,1,1] => 2
{{1},{2,4},{3},{5,7,8},{6}} => [1,2,1,3,1] => [[4,4,2,2,1],[3,1,1]] => [3,1,1] => 1
{{1},{2,4},{3},{5,8},{6,7}} => [1,2,1,2,2] => [[4,3,2,2,1],[2,1,1]] => [2,1,1] => 1
{{1},{2,5},{3},{4},{6,8},{7}} => [1,2,1,1,2,1] => [[3,3,2,2,2,1],[2,1,1,1]] => [2,1,1,1] => 1
{{1},{2,8},{3},{4},{5},{6},{7}} => [1,2,1,1,1,1,1] => [[2,2,2,2,2,2,1],[1,1,1,1,1]] => [1,1,1,1,1] => 5
{{1},{2,5,6,8},{3},{4},{7}} => [1,4,1,1,1] => [[4,4,4,4,1],[3,3,3]] => [3,3,3] => 3
{{1},{2,4,5},{3},{6,7},{8}} => [1,3,1,2,1] => [[4,4,3,3,1],[3,2,2]] => [3,2,2] => 1
{{1},{2,4,5},{3},{6,8},{7}} => [1,3,1,2,1] => [[4,4,3,3,1],[3,2,2]] => [3,2,2] => 1
{{1},{2,4,5},{3},{6,7,8}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,6},{3},{4,5},{7,8}} => [1,2,1,2,2] => [[4,3,2,2,1],[2,1,1]] => [2,1,1] => 1
{{1},{2,6,8},{3},{4,5},{7}} => [1,3,1,2,1] => [[4,4,3,3,1],[3,2,2]] => [3,2,2] => 1
{{1},{2,6,7,8},{3},{4,5}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => [3,3] => 2
{{1},{2,4,6},{3},{5},{7,8}} => [1,3,1,1,2] => [[4,3,3,3,1],[2,2,2]] => [2,2,2] => 3
{{1},{2,4,6,7},{3},{5},{8}} => [1,4,1,1,1] => [[4,4,4,4,1],[3,3,3]] => [3,3,3] => 3
{{1},{2,8},{3},{4,6,7},{5}} => [1,2,1,3,1] => [[4,4,2,2,1],[3,1,1]] => [3,1,1] => 1
{{1},{2,4,8},{3},{5},{6,7}} => [1,3,1,1,2] => [[4,3,3,3,1],[2,2,2]] => [2,2,2] => 3
{{1},{2,4,6,8},{3},{5},{7}} => [1,4,1,1,1] => [[4,4,4,4,1],[3,3,3]] => [3,3,3] => 3
{{1},{2,7,8},{3},{4,5,6}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,4,7},{3},{5,6},{8}} => [1,3,1,2,1] => [[4,4,3,3,1],[3,2,2]] => [3,2,2] => 1
{{1},{2,8},{3},{4,7},{5,6}} => [1,2,1,2,2] => [[4,3,2,2,1],[2,1,1]] => [2,1,1] => 1
{{1},{2,4,8},{3},{5,6},{7}} => [1,3,1,2,1] => [[4,4,3,3,1],[3,2,2]] => [3,2,2] => 1
{{1},{2,4,7,8},{3},{5,6}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => [3,3] => 2
{{1},{2,4,8},{3},{5,7},{6}} => [1,3,1,2,1] => [[4,4,3,3,1],[3,2,2]] => [3,2,2] => 1
{{1},{2,4,8},{3},{5,6,7}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,4,5,8},{3},{6,7}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => [3,3] => 2
{{1},{2,3,4},{5},{6,8},{7}} => [1,3,1,2,1] => [[4,4,3,3,1],[3,2,2]] => [3,2,2] => 1
{{1},{2,3,4},{5},{6,7,8}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,3,4},{5,6},{7,8}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,3,4},{5,6,7},{8}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1},{2,3,4},{5,8},{6,7}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,3,4},{5,6,8},{7}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1},{2,5},{3,4},{6,7},{8}} => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 1
{{1},{2,5},{3,4},{6,8},{7}} => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 1
{{1},{2,5},{3,4},{6,7,8}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,8},{3,4},{5},{6},{7}} => [1,2,2,1,1,1] => [[3,3,3,3,2,1],[2,2,2,1]] => [2,2,2,1] => 3
{{1},{2,6,7},{3,4},{5},{8}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => [3,3,2] => 2
{{1},{2,6,8},{3,4},{5},{7}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => [3,3,2] => 2
{{1},{2,7},{3,4},{5,6},{8}} => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 1
{{1},{2,8},{3,4},{5,6},{7}} => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 1
{{1},{2,7,8},{3,4},{5,6}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,8},{3,4},{5,7},{6}} => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 1
{{1},{2,8},{3,4},{5,6,7}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,5,8},{3,4},{6,7}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,3,5},{4},{6,7,8}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,6},{3,5},{4},{7,8}} => [1,2,2,1,2] => [[4,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1},{2,7},{3,5},{4},{6},{8}} => [1,2,2,1,1,1] => [[3,3,3,3,2,1],[2,2,2,1]] => [2,2,2,1] => 3
{{1},{2,8},{3,5},{4},{6},{7}} => [1,2,2,1,1,1] => [[3,3,3,3,2,1],[2,2,2,1]] => [2,2,2,1] => 3
{{1},{2,6,7},{3,5},{4},{8}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => [3,3,2] => 2
{{1},{2,8},{3,5},{4},{6,7}} => [1,2,2,1,2] => [[4,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1},{2,6,8},{3,5},{4},{7}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => [3,3,2] => 2
{{1},{2,6,7,8},{3,5},{4}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1},{2,8},{3,7},{4},{5},{6}} => [1,2,2,1,1,1] => [[3,3,3,3,2,1],[2,2,2,1]] => [2,2,2,1] => 3
{{1},{2,3,7,8},{4},{5},{6}} => [1,4,1,1,1] => [[4,4,4,4,1],[3,3,3]] => [3,3,3] => 3
{{1},{2,3,6,7},{4},{5},{8}} => [1,4,1,1,1] => [[4,4,4,4,1],[3,3,3]] => [3,3,3] => 3
{{1},{2,3,6,8},{4},{5},{7}} => [1,4,1,1,1] => [[4,4,4,4,1],[3,3,3]] => [3,3,3] => 3
{{1},{2,7},{3,5,6},{4},{8}} => [1,2,3,1,1] => [[4,4,4,2,1],[3,3,1]] => [3,3,1] => 2
{{1},{2,8},{3,5,6},{4},{7}} => [1,2,3,1,1] => [[4,4,4,2,1],[3,3,1]] => [3,3,1] => 2
{{1},{2,7,8},{3,5,6},{4}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1},{2,3,7},{4},{5,6},{8}} => [1,3,1,2,1] => [[4,4,3,3,1],[3,2,2]] => [3,2,2] => 1
{{1},{2,8},{3,7},{4},{5,6}} => [1,2,2,1,2] => [[4,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1},{2,3,5,7},{4},{6},{8}} => [1,4,1,1,1] => [[4,4,4,4,1],[3,3,3]] => [3,3,3] => 3
{{1},{2,8},{3,5,7},{4},{6}} => [1,2,3,1,1] => [[4,4,4,2,1],[3,3,1]] => [3,3,1] => 2
{{1},{2,3,5,8},{4},{6},{7}} => [1,4,1,1,1] => [[4,4,4,4,1],[3,3,3]] => [3,3,3] => 3
{{1},{2,3,8},{4},{5,6,7}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,3,5,8},{4},{6,7}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => [3,3] => 2
{{1},{2,8},{3,4,5},{6},{7}} => [1,2,3,1,1] => [[4,4,4,2,1],[3,3,1]] => [3,3,1] => 2
{{1},{2,8},{3,4,5},{6,7}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,6,8},{3,4,5},{7}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1},{2,6,7,8},{3,4,5}} => [1,4,3] => [[6,4,1],[3]] => [3] => 1
{{1},{2,3,6},{4,5},{7,8}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,7},{3,6},{4,5},{8}} => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 1
{{1},{2,8},{3,6},{4,5},{7}} => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 1
{{1},{2,7,8},{3,6},{4,5}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,8},{3,7},{4,5},{6}} => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 1
{{1},{2,3,8},{4,5},{6},{7}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => [3,3,2] => 2
{{1},{2,3,6,7},{4,5},{8}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1},{2,8},{3,6,7},{4,5}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,3,8},{4,5},{6,7}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,3,6,8},{4,5},{7}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1},{2,3,4,6},{5},{7,8}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => [3,3] => 2
{{1},{2,8},{3,4,6},{5},{7}} => [1,2,3,1,1] => [[4,4,4,2,1],[3,3,1]] => [3,3,1] => 2
{{1},{2,7,8},{3,4,6},{5}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1},{2,8},{3,7},{4,6},{5}} => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 1
{{1},{2,3,8},{4,6},{5},{7}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => [3,3,2] => 2
{{1},{2,3,7,8},{4,6},{5}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1},{2,8},{3,4,7},{5},{6}} => [1,2,3,1,1] => [[4,4,4,2,1],[3,3,1]] => [3,3,1] => 2
{{1},{2,3,4,8},{5},{6},{7}} => [1,4,1,1,1] => [[4,4,4,4,1],[3,3,3]] => [3,3,3] => 3
{{1},{2,3,8},{4,6,7},{5}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1},{2,8},{3,7},{4,5,6}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,3,8},{4,5,6},{7}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1},{2,8},{3,4,7},{5,6}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,3,8},{4,7},{5,6}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,3,4,8},{5,6},{7}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1},{2,3,8},{4,5,7},{6}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1},{2,3,4,8},{5,7},{6}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1},{2,3,4,8},{5,6,7}} => [1,4,3] => [[6,4,1],[3]] => [3] => 1
{{1,2},{3},{4},{5},{6},{7},{8}} => [2,1,1,1,1,1,1] => [[2,2,2,2,2,2,2],[1,1,1,1,1,1]] => [1,1,1,1,1,1] => 6
{{1,2},{3},{4},{5},{6},{7,8}} => [2,1,1,1,1,2] => [[3,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => 5
{{1,2},{3},{4},{5},{6,7},{8}} => [2,1,1,1,2,1] => [[3,3,2,2,2,2],[2,1,1,1,1]] => [2,1,1,1,1] => 1
{{1,2},{3},{4},{5},{6,8},{7}} => [2,1,1,1,2,1] => [[3,3,2,2,2,2],[2,1,1,1,1]] => [2,1,1,1,1] => 1
{{1,2},{3},{4},{5,6},{7},{8}} => [2,1,1,2,1,1] => [[3,3,3,2,2,2],[2,2,1,1,1]] => [2,2,1,1,1] => 2
{{1,2},{3},{4},{5,8},{6},{7}} => [2,1,1,2,1,1] => [[3,3,3,2,2,2],[2,2,1,1,1]] => [2,2,1,1,1] => 2
{{1,2},{3},{4},{5,8},{6,7}} => [2,1,1,2,2] => [[4,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 1
{{1,2},{3},{4,5},{6},{7},{8}} => [2,1,2,1,1,1] => [[3,3,3,3,2,2],[2,2,2,1,1]] => [2,2,2,1,1] => 3
{{1,2},{3},{4,5},{6,7,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,2},{3},{4,8},{5},{6},{7}} => [2,1,2,1,1,1] => [[3,3,3,3,2,2],[2,2,2,1,1]] => [2,2,2,1,1] => 3
{{1,2},{3},{4,5,6},{7,8}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,2},{3},{4,5,8},{6},{7}} => [2,1,3,1,1] => [[4,4,4,2,2],[3,3,1,1]] => [3,3,1,1] => 2
{{1,2},{3},{4,5,8},{6,7}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,2},{3,4},{5},{6},{7},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,2},{3,4},{5},{6,7,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,2},{3,4},{5,7,8},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,2},{3,4},{5,6,8},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,2},{3,5},{4},{6},{7},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,2},{3,5},{4},{6,7,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,2},{3,6},{4},{5},{7},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,2},{3,8},{4},{5},{6},{7}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,2},{3,6,7,8},{4},{5}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,2},{3,5,6},{4},{7,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,2},{3,7,8},{4},{5,6}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,2},{3,5,7,8},{4},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,2},{3,8},{4},{5,6,7}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,2},{3,5,8},{4},{6,7}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,2},{3,5,6,8},{4},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,2},{3,4,5},{6},{7},{8}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => [3,3,3,1] => 3
{{1,2},{3,8},{4,5},{6},{7}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,2},{3,7,8},{4,5},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,2},{3,6,8},{4,5},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,2},{3,6,7,8},{4,5}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,2},{3,4,6},{5},{7,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,2},{3,7,8},{4,6},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,2},{3,4,8},{5},{6},{7}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => [3,3,3,1] => 3
{{1,2},{3,4,7,8},{5},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,2},{3,8},{4,6,7},{5}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,2},{3,4,8},{5},{6,7}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,2},{3,4,6,8},{5},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,2},{3,4,5,6},{7,8}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,2},{3,8},{4,5,6},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,2},{3,4,8},{5,6},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,2},{3,4,5,7},{6},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,2},{3,8},{4,5,7},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,2},{3,4,8},{5,7},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,2},{3,4,5,8},{6},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,2},{3,4,8},{5,6,7}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,2},{3,4,5,8},{6,7}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,3},{2},{4},{5},{6},{7},{8}} => [2,1,1,1,1,1,1] => [[2,2,2,2,2,2,2],[1,1,1,1,1,1]] => [1,1,1,1,1,1] => 6
{{1,3},{2},{4},{5},{6},{7,8}} => [2,1,1,1,1,2] => [[3,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => 5
{{1,3},{2},{4},{5},{6,8},{7}} => [2,1,1,1,2,1] => [[3,3,2,2,2,2],[2,1,1,1,1]] => [2,1,1,1,1] => 1
{{1,3},{2},{4},{5,7,8},{6}} => [2,1,1,3,1] => [[4,4,2,2,2],[3,1,1,1]] => [3,1,1,1] => 1
{{1,3},{2},{4},{5,8},{6,7}} => [2,1,1,2,2] => [[4,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 1
{{1,3},{2},{4,5},{6,7},{8}} => [2,1,2,2,1] => [[4,4,3,2,2],[3,2,1,1]] => [3,2,1,1] => 1
{{1,3},{2},{4,5},{6,8},{7}} => [2,1,2,2,1] => [[4,4,3,2,2],[3,2,1,1]] => [3,2,1,1] => 1
{{1,3},{2},{4,5},{6,7,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,3},{2},{4,6},{5},{7,8}} => [2,1,2,1,2] => [[4,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1,3},{2},{4,6,7},{5},{8}} => [2,1,3,1,1] => [[4,4,4,2,2],[3,3,1,1]] => [3,3,1,1] => 2
{{1,3},{2},{4,8},{5},{6,7}} => [2,1,2,1,2] => [[4,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1,3},{2},{4,6,8},{5},{7}} => [2,1,3,1,1] => [[4,4,4,2,2],[3,3,1,1]] => [3,3,1,1] => 2
{{1,3},{2},{4,5,6},{7,8}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,3},{2},{4,7},{5,6},{8}} => [2,1,2,2,1] => [[4,4,3,2,2],[3,2,1,1]] => [3,2,1,1] => 1
{{1,3},{2},{4,8},{5,6},{7}} => [2,1,2,2,1] => [[4,4,3,2,2],[3,2,1,1]] => [3,2,1,1] => 1
{{1,3},{2},{4,7,8},{5,6}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,3},{2},{4,8},{5,7},{6}} => [2,1,2,2,1] => [[4,4,3,2,2],[3,2,1,1]] => [3,2,1,1] => 1
{{1,3},{2},{4,8},{5,6,7}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,3},{2},{4,5,8},{6,7}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,4},{2},{3},{5},{6},{7},{8}} => [2,1,1,1,1,1,1] => [[2,2,2,2,2,2,2],[1,1,1,1,1,1]] => [1,1,1,1,1,1] => 6
{{1,4},{2},{3},{5},{6,8},{7}} => [2,1,1,1,2,1] => [[3,3,2,2,2,2],[2,1,1,1,1]] => [2,1,1,1,1] => 1
{{1,4},{2},{3},{5,6},{7,8}} => [2,1,1,2,2] => [[4,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 1
{{1,4},{2},{3},{5,8},{6},{7}} => [2,1,1,2,1,1] => [[3,3,3,2,2,2],[2,2,1,1,1]] => [2,2,1,1,1] => 2
{{1,4},{2},{3},{5,8},{6,7}} => [2,1,1,2,2] => [[4,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 1
{{1,5},{2},{3},{4},{6},{7},{8}} => [2,1,1,1,1,1,1] => [[2,2,2,2,2,2,2],[1,1,1,1,1,1]] => [1,1,1,1,1,1] => 6
{{1,5},{2},{3},{4},{6},{7,8}} => [2,1,1,1,1,2] => [[3,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => 5
{{1,6},{2},{3},{4},{5},{7},{8}} => [2,1,1,1,1,1,1] => [[2,2,2,2,2,2,2],[1,1,1,1,1,1]] => [1,1,1,1,1,1] => 6
{{1,6},{2},{3},{4},{5},{7,8}} => [2,1,1,1,1,2] => [[3,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => 5
{{1,7},{2},{3},{4},{5},{6},{8}} => [2,1,1,1,1,1,1] => [[2,2,2,2,2,2,2],[1,1,1,1,1,1]] => [1,1,1,1,1,1] => 6
{{1,8},{2},{3},{4},{5},{6},{7}} => [2,1,1,1,1,1,1] => [[2,2,2,2,2,2,2],[1,1,1,1,1,1]] => [1,1,1,1,1,1] => 6
{{1,7,8},{2},{3},{4},{5},{6}} => [3,1,1,1,1,1] => [[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => 5
{{1,6,7},{2},{3},{4},{5},{8}} => [3,1,1,1,1,1] => [[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => 5
{{1,8},{2},{3},{4},{5},{6,7}} => [2,1,1,1,1,2] => [[3,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => 5
{{1,6,8},{2},{3},{4},{5},{7}} => [3,1,1,1,1,1] => [[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => 5
{{1,6,7,8},{2},{3},{4},{5}} => [4,1,1,1,1] => [[4,4,4,4,4],[3,3,3,3]] => [3,3,3,3] => 4
{{1,5,6},{2},{3},{4},{7},{8}} => [3,1,1,1,1,1] => [[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => 5
{{1,7},{2},{3},{4},{5,6},{8}} => [2,1,1,1,2,1] => [[3,3,2,2,2,2],[2,1,1,1,1]] => [2,1,1,1,1] => 1
{{1,8},{2},{3},{4},{5,6},{7}} => [2,1,1,1,2,1] => [[3,3,2,2,2,2],[2,1,1,1,1]] => [2,1,1,1,1] => 1
{{1,5,7},{2},{3},{4},{6},{8}} => [3,1,1,1,1,1] => [[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => 5
{{1,8},{2},{3},{4},{5,7},{6}} => [2,1,1,1,2,1] => [[3,3,2,2,2,2],[2,1,1,1,1]] => [2,1,1,1,1] => 1
{{1,5,8},{2},{3},{4},{6},{7}} => [3,1,1,1,1,1] => [[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => 5
{{1,5,7,8},{2},{3},{4},{6}} => [4,1,1,1,1] => [[4,4,4,4,4],[3,3,3,3]] => [3,3,3,3] => 4
{{1,5,6,7},{2},{3},{4},{8}} => [4,1,1,1,1] => [[4,4,4,4,4],[3,3,3,3]] => [3,3,3,3] => 4
{{1,5,6,8},{2},{3},{4},{7}} => [4,1,1,1,1] => [[4,4,4,4,4],[3,3,3,3]] => [3,3,3,3] => 4
{{1,5,6,7,8},{2},{3},{4}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,4,5},{2},{3},{6},{7},{8}} => [3,1,1,1,1,1] => [[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => 5
{{1,4,5},{2},{3},{6,8},{7}} => [3,1,1,2,1] => [[4,4,3,3,3],[3,2,2,2]] => [3,2,2,2] => 1
{{1,4,5},{2},{3},{6,7,8}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,6},{2},{3},{4,5},{7},{8}} => [2,1,1,2,1,1] => [[3,3,3,2,2,2],[2,2,1,1,1]] => [2,2,1,1,1] => 2
{{1,8},{2},{3},{4,5},{6},{7}} => [2,1,1,2,1,1] => [[3,3,3,2,2,2],[2,2,1,1,1]] => [2,2,1,1,1] => 2
{{1,6,7},{2},{3},{4,5},{8}} => [3,1,1,2,1] => [[4,4,3,3,3],[3,2,2,2]] => [3,2,2,2] => 1
{{1,6,7,8},{2},{3},{4,5}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,4,6},{2},{3},{5},{7},{8}} => [3,1,1,1,1,1] => [[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => 5
{{1,7},{2},{3},{4,6},{5},{8}} => [2,1,1,2,1,1] => [[3,3,3,2,2,2],[2,2,1,1,1]] => [2,2,1,1,1] => 2
{{1,4,6,8},{2},{3},{5},{7}} => [4,1,1,1,1] => [[4,4,4,4,4],[3,3,3,3]] => [3,3,3,3] => 4
{{1,4,5,6},{2},{3},{7},{8}} => [4,1,1,1,1] => [[4,4,4,4,4],[3,3,3,3]] => [3,3,3,3] => 4
{{1,4,5,6},{2},{3},{7,8}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,7},{2},{3},{4,5,6},{8}} => [2,1,1,3,1] => [[4,4,2,2,2],[3,1,1,1]] => [3,1,1,1] => 1
{{1,4,8},{2},{3},{5,6},{7}} => [3,1,1,2,1] => [[4,4,3,3,3],[3,2,2,2]] => [3,2,2,2] => 1
{{1,4,7,8},{2},{3},{5,6}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,4,5,8},{2},{3},{6},{7}} => [4,1,1,1,1] => [[4,4,4,4,4],[3,3,3,3]] => [3,3,3,3] => 4
{{1,4,5,6,7},{2},{3},{8}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,4,8},{2},{3},{5,6,7}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,4,5,8},{2},{3},{6,7}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,4,5,6,8},{2},{3},{7}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,4,5,6,7,8},{2},{3}} => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 2
{{1,3,4},{2},{5},{6},{7},{8}} => [3,1,1,1,1,1] => [[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => 5
{{1,3,4},{2},{5},{6,8},{7}} => [3,1,1,2,1] => [[4,4,3,3,3],[3,2,2,2]] => [3,2,2,2] => 1
{{1,3,4},{2},{5},{6,7,8}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,3,4},{2},{5,6},{7,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3,4},{2},{5,7,8},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,3,4},{2},{5,8},{6,7}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3,4},{2},{5,6,8},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,5},{2},{3,4},{6},{7},{8}} => [2,1,2,1,1,1] => [[3,3,3,3,2,2],[2,2,2,1,1]] => [2,2,2,1,1] => 3
{{1,5},{2},{3,4},{6},{7,8}} => [2,1,2,1,2] => [[4,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1,5},{2},{3,4},{6,8},{7}} => [2,1,2,2,1] => [[4,4,3,2,2],[3,2,1,1]] => [3,2,1,1] => 1
{{1,5},{2},{3,4},{6,7,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,8},{2},{3,4},{5},{6},{7}} => [2,1,2,1,1,1] => [[3,3,3,3,2,2],[2,2,2,1,1]] => [2,2,2,1,1] => 3
{{1,6,7,8},{2},{3,4},{5}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,5,6},{2},{3,4},{7,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,7,8},{2},{3,4},{5,6}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,5,7},{2},{3,4},{6},{8}} => [3,1,2,1,1] => [[4,4,4,3,3],[3,3,2,2]] => [3,3,2,2] => 2
{{1,5,7,8},{2},{3,4},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,5,6,7},{2},{3,4},{8}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,8},{2},{3,4},{5,6,7}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,5,8},{2},{3,4},{6,7}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,5,6,8},{2},{3,4},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,3,5},{2},{4},{6},{7},{8}} => [3,1,1,1,1,1] => [[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => 5
{{1,3,5},{2},{4},{6,7},{8}} => [3,1,1,2,1] => [[4,4,3,3,3],[3,2,2,2]] => [3,2,2,2] => 1
{{1,3,5},{2},{4},{6,8},{7}} => [3,1,1,2,1] => [[4,4,3,3,3],[3,2,2,2]] => [3,2,2,2] => 1
{{1,3,5},{2},{4},{6,7,8}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,6},{2},{3,5},{4},{7},{8}} => [2,1,2,1,1,1] => [[3,3,3,3,2,2],[2,2,2,1,1]] => [2,2,2,1,1] => 3
{{1,6},{2},{3,5},{4},{7,8}} => [2,1,2,1,2] => [[4,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1,8},{2},{3,5},{4},{6},{7}} => [2,1,2,1,1,1] => [[3,3,3,3,2,2],[2,2,2,1,1]] => [2,2,2,1,1] => 3
{{1,6,8},{2},{3,5},{4},{7}} => [3,1,2,1,1] => [[4,4,4,3,3],[3,3,2,2]] => [3,3,2,2] => 2
{{1,6,7,8},{2},{3,5},{4}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,3,6},{2},{4},{5},{7},{8}} => [3,1,1,1,1,1] => [[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => 5
{{1,3,7},{2},{4},{5},{6},{8}} => [3,1,1,1,1,1] => [[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => 5
{{1,3,8},{2},{4},{5},{6},{7}} => [3,1,1,1,1,1] => [[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => 5
{{1,3,7,8},{2},{4},{5},{6}} => [4,1,1,1,1] => [[4,4,4,4,4],[3,3,3,3]] => [3,3,3,3] => 4
{{1,3,5,6},{2},{4},{7,8}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,7},{2},{3,5,6},{4},{8}} => [2,1,3,1,1] => [[4,4,4,2,2],[3,3,1,1]] => [3,3,1,1] => 2
{{1,7,8},{2},{3,5,6},{4}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,3,7},{2},{4},{5,6},{8}} => [3,1,1,2,1] => [[4,4,3,3,3],[3,2,2,2]] => [3,2,2,2] => 1
{{1,3,7,8},{2},{4},{5,6}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,3,5,7},{2},{4},{6},{8}} => [4,1,1,1,1] => [[4,4,4,4,4],[3,3,3,3]] => [3,3,3,3] => 4
{{1,3,5,8},{2},{4},{6},{7}} => [4,1,1,1,1] => [[4,4,4,4,4],[3,3,3,3]] => [3,3,3,3] => 4
{{1,3,5,7,8},{2},{4},{6}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,3,8},{2},{4},{5,6,7}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,3,5,8},{2},{4},{6,7}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,3,5,6,8},{2},{4},{7}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,3,5,6,7,8},{2},{4}} => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 2
{{1,3,4,5},{2},{6},{7},{8}} => [4,1,1,1,1] => [[4,4,4,4,4],[3,3,3,3]] => [3,3,3,3] => 4
{{1,3,4,5},{2},{6},{7,8}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,3,4,5},{2},{6,7},{8}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,3,4,5},{2},{6,8},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,3,4,5},{2},{6,7,8}} => [4,1,3] => [[6,4,4],[3,3]] => [3,3] => 2
{{1,6},{2},{3,4,5},{7},{8}} => [2,1,3,1,1] => [[4,4,4,2,2],[3,3,1,1]] => [3,3,1,1] => 2
{{1,6},{2},{3,4,5},{7,8}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,8},{2},{3,4,5},{6},{7}} => [2,1,3,1,1] => [[4,4,4,2,2],[3,3,1,1]] => [3,3,1,1] => 2
{{1,7,8},{2},{3,4,5},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,8},{2},{3,4,5},{6,7}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,6,8},{2},{3,4,5},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,3,6},{2},{4,5},{7,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,7},{2},{3,6},{4,5},{8}} => [2,1,2,2,1] => [[4,4,3,2,2],[3,2,1,1]] => [3,2,1,1] => 1
{{1,7,8},{2},{3,6},{4,5}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3,7},{2},{4,5},{6},{8}} => [3,1,2,1,1] => [[4,4,4,3,3],[3,3,2,2]] => [3,3,2,2] => 2
{{1,3,7,8},{2},{4,5},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,8},{2},{3,6,7},{4,5}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,3,8},{2},{4,5},{6,7}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3,6,8},{2},{4,5},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,3,4,6},{2},{5},{7,8}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,7,8},{2},{3,4,6},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,3,7},{2},{4,6},{5},{8}} => [3,1,2,1,1] => [[4,4,4,3,3],[3,3,2,2]] => [3,3,2,2] => 2
{{1,3,7,8},{2},{4,6},{5}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,3,4,8},{2},{5},{6},{7}} => [4,1,1,1,1] => [[4,4,4,4,4],[3,3,3,3]] => [3,3,3,3] => 4
{{1,3,4,7,8},{2},{5},{6}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,3,8},{2},{4,6,7},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,3,4,6,8},{2},{5},{7}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,3,4,6,7,8},{2},{5}} => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 2
{{1,3,4,5,6},{2},{7},{8}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,3,7},{2},{4,5,6},{8}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,3,8},{2},{4,5,6},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,8},{2},{3,4,7},{5,6}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,3,8},{2},{4,7},{5,6}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3,4,8},{2},{5,6},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,3,8},{2},{4,5,7},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,3,4,8},{2},{5,7},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,3,4,5,8},{2},{6},{7}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,3,4,5,7,8},{2},{6}} => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 2
{{1,3,4,5,6,7},{2},{8}} => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 2
{{1,3,4,5,6,8},{2},{7}} => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 2
{{1,3,4,5,6,7,8},{2}} => [7,1] => [[7,7],[6]] => [6] => 1
{{1,2,3},{4},{5},{6},{7},{8}} => [3,1,1,1,1,1] => [[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => 5
{{1,2,3},{4},{5},{6,8},{7}} => [3,1,1,2,1] => [[4,4,3,3,3],[3,2,2,2]] => [3,2,2,2] => 1
{{1,2,3},{4},{5},{6,7,8}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,2,3},{4},{5,6},{7,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,2,3},{4},{5,8},{6,7}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,2,3},{4},{5,6,8},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,2,3},{4,6},{5},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,3},{4,6,7},{5},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,3},{4,8},{5},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,3},{4,6,8},{5},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,3},{4,8},{5,7},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,3},{4,5,8},{6},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,3},{4,5,7,8},{6}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,2,3},{4,5,6,7},{8}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,2,3},{4,8},{5,6,7}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,2,3},{4,5,8},{6,7}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,2,3},{4,5,6,8},{7}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,4},{2,3},{5},{6},{7},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,4},{2,3},{5},{6},{7,8}} => [2,2,1,1,2] => [[4,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,4},{2,3},{5},{6,7},{8}} => [2,2,1,2,1] => [[4,4,3,3,2],[3,2,2,1]] => [3,2,2,1] => 1
{{1,4},{2,3},{5},{6,8},{7}} => [2,2,1,2,1] => [[4,4,3,3,2],[3,2,2,1]] => [3,2,2,1] => 1
{{1,4},{2,3},{5},{6,7,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,4},{2,3},{5,6},{7},{8}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,4},{2,3},{5,7},{6},{8}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,4},{2,3},{5,8},{6},{7}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,4},{2,3},{5,7,8},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,4},{2,3},{5,6,7},{8}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,4},{2,3},{5,6,8},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,5},{2,3},{4},{6},{7},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,5},{2,3},{4},{6,7},{8}} => [2,2,1,2,1] => [[4,4,3,3,2],[3,2,2,1]] => [3,2,2,1] => 1
{{1,5},{2,3},{4},{6,8},{7}} => [2,2,1,2,1] => [[4,4,3,3,2],[3,2,2,1]] => [3,2,2,1] => 1
{{1,6},{2,3},{4},{5},{7},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,6},{2,3},{4},{5},{7,8}} => [2,2,1,1,2] => [[4,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,7},{2,3},{4},{5},{6},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,8},{2,3},{4},{5},{6},{7}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,6,8},{2,3},{4},{5},{7}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => [3,3,3,2] => 3
{{1,5,6},{2,3},{4},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,7},{2,3},{4},{5,6},{8}} => [2,2,1,2,1] => [[4,4,3,3,2],[3,2,2,1]] => [3,2,2,1] => 1
{{1,7,8},{2,3},{4},{5,6}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5,7},{2,3},{4},{6},{8}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => [3,3,3,2] => 3
{{1,5,7,8},{2,3},{4},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,5,6,7},{2,3},{4},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,8},{2,3},{4},{5,6,7}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,5,8},{2,3},{4},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5,6,8},{2,3},{4},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,4,5},{2,3},{6},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,4,5},{2,3},{6,7},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,5},{2,3},{6,8},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,7},{2,3},{4,5},{6},{8}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,8},{2,3},{4,5},{6},{7}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,7,8},{2,3},{4,5},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,6,7},{2,3},{4,5},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,6,8},{2,3},{4,5},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,6,7,8},{2,3},{4,5}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,4,6},{2,3},{5},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,7},{2,3},{4,6},{5},{8}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,7,8},{2,3},{4,6},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,8},{2,3},{5},{6},{7}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => [3,3,3,2] => 3
{{1,4,7,8},{2,3},{5},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,4,6,7},{2,3},{5},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,8},{2,3},{4,6,7},{5}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,4,8},{2,3},{5},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,4,6,8},{2,3},{5},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,4,5,6},{2,3},{7,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,7},{2,3},{4,5,6},{8}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,4,7},{2,3},{5,6},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,8},{2,3},{5,6},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,5,7},{2,3},{6},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,8},{2,3},{4,5,7},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,4,8},{2,3},{5,7},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,5,8},{2,3},{6},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,4,8},{2,3},{5,6,7}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,4,5,8},{2,3},{6,7}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,4},{3},{5},{6},{7},{8}} => [3,1,1,1,1,1] => [[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => 5
{{1,2,4},{3},{5,6},{7,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,2,4},{3},{5,7,8},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,2,4},{3},{5,6,7},{8}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,2,4},{3},{5,8},{6,7}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,2,4},{3},{5,6,8},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,5},{2,4},{3},{6},{7},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,5},{2,4},{3},{6},{7,8}} => [2,2,1,1,2] => [[4,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,5},{2,4},{3},{6,7},{8}} => [2,2,1,2,1] => [[4,4,3,3,2],[3,2,2,1]] => [3,2,2,1] => 1
{{1,5},{2,4},{3},{6,8},{7}} => [2,2,1,2,1] => [[4,4,3,3,2],[3,2,2,1]] => [3,2,2,1] => 1
{{1,5},{2,4},{3},{6,7,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,7},{2,4},{3},{5},{6},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,8},{2,4},{3},{5},{6},{7}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,8},{2,4},{3},{5},{6,7}} => [2,2,1,1,2] => [[4,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,6,7,8},{2,4},{3},{5}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,5,6},{2,4},{3},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,7},{2,4},{3},{5,6},{8}} => [2,2,1,2,1] => [[4,4,3,3,2],[3,2,2,1]] => [3,2,2,1] => 1
{{1,7,8},{2,4},{3},{5,6}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5,7},{2,4},{3},{6},{8}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => [3,3,3,2] => 3
{{1,8},{2,4},{3},{5,7},{6}} => [2,2,1,2,1] => [[4,4,3,3,2],[3,2,2,1]] => [3,2,2,1] => 1
{{1,5,7,8},{2,4},{3},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,5,6,7},{2,4},{3},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,8},{2,4},{3},{5,6,7}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,5,8},{2,4},{3},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5,6,8},{2,4},{3},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,5},{3},{4},{6},{7},{8}} => [3,1,1,1,1,1] => [[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => 5
{{1,6},{2,5},{3},{4},{7},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,6},{2,5},{3},{4},{7,8}} => [2,2,1,1,2] => [[4,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,7},{2,5},{3},{4},{6},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,8},{2,5},{3},{4},{6},{7}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,7,8},{2,5},{3},{4},{6}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => [3,3,3,2] => 3
{{1,6,7,8},{2,5},{3},{4}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,6},{3},{4},{5},{7},{8}} => [3,1,1,1,1,1] => [[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => 5
{{1,7,8},{2,6},{3},{4},{5}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => [3,3,3,2] => 3
{{1,2,7},{3},{4},{5},{6},{8}} => [3,1,1,1,1,1] => [[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => 5
{{1,8},{2,7},{3},{4},{5},{6}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,2,8},{3},{4},{5},{6},{7}} => [3,1,1,1,1,1] => [[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => 5
{{1,2,7,8},{3},{4},{5},{6}} => [4,1,1,1,1] => [[4,4,4,4,4],[3,3,3,3]] => [3,3,3,3] => 4
{{1,2,6,7,8},{3},{4},{5}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,2,5,6},{3},{4},{7,8}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,7,8},{2,5,6},{3},{4}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,7,8},{3},{4},{5,6}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,8},{2,5,7},{3},{4},{6}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => [3,3,3,1] => 3
{{1,2,5,7,8},{3},{4},{6}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,2,5,6,7},{3},{4},{8}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,8},{2,5,6,7},{3},{4}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,2,5,8},{3},{4},{6,7}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,2,5,6,8},{3},{4},{7}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,2,5,6,7,8},{3},{4}} => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 2
{{1,6},{2,4,5},{3},{7,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,7},{2,4,5},{3},{6},{8}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => [3,3,3,1] => 3
{{1,7,8},{2,4,5},{3},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,6,7},{2,4,5},{3},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,8},{2,4,5},{3},{6,7}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,6,8},{2,4,5},{3},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,6},{3},{4,5},{7,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,7},{2,6},{3},{4,5},{8}} => [2,2,1,2,1] => [[4,4,3,3,2],[3,2,2,1]] => [3,2,2,1] => 1
{{1,7,8},{2,6},{3},{4,5}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,7,8},{3},{4,5},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,8},{2,6,7},{3},{4,5}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,2,8},{3},{4,5},{6,7}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,2,6,8},{3},{4,5},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,2,4,6},{3},{5},{7,8}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,7},{2,4,6},{3},{5},{8}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => [3,3,3,1] => 3
{{1,7,8},{2,4,6},{3},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,7,8},{3},{4,6},{5}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,8},{2,4,7},{3},{5},{6}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => [3,3,3,1] => 3
{{1,2,4,8},{3},{5},{6},{7}} => [4,1,1,1,1] => [[4,4,4,4,4],[3,3,3,3]] => [3,3,3,3] => 4
{{1,2,4,7,8},{3},{5},{6}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,8},{2,4,6,7},{3},{5}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,2,8},{3},{4,6,7},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,2,4,8},{3},{5},{6,7}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,2,4,6,8},{3},{5},{7}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,2,4,6,7,8},{3},{5}} => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 2
{{1,7},{2,4,5,6},{3},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,8},{2,4,5,6},{3},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,7,8},{2,4,5,6},{3}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,8},{2,7},{3},{4,5,6}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,2,8},{3},{4,5,6},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,2,7,8},{3},{4,5,6}} => [4,1,3] => [[6,4,4],[3,3]] => [3,3] => 2
{{1,2,4,7},{3},{5,6},{8}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,8},{2,4,7},{3},{5,6}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,2,8},{3},{4,7},{5,6}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,2,4,8},{3},{5,6},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,8},{2,4,5,7},{3},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,2,8},{3},{4,5,7},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,2,4,8},{3},{5,7},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,2,4,5,7,8},{3},{6}} => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 2
{{1,2,4,5,6,7},{3},{8}} => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 2
{{1,2,4,5,6,8},{3},{7}} => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 2
{{1,2,4,5,6,7,8},{3}} => [7,1] => [[7,7],[6]] => [6] => 1
{{1,2,3,4},{5},{6},{7},{8}} => [4,1,1,1,1] => [[4,4,4,4,4],[3,3,3,3]] => [3,3,3,3] => 4
{{1,2,3,4},{5},{6,7},{8}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,2,3,4},{5},{6,8},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,2,3,4},{5,6},{7,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,3,4},{5,7,8},{6}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,2,3,4},{5,6,7},{8}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,2,3,4},{5,8},{6,7}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,3,4},{5,6,8},{7}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,2,3,4},{5,6,7,8}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,5},{2,3,4},{6},{7},{8}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => [3,3,3,1] => 3
{{1,5},{2,3,4},{6,8},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,5},{2,3,4},{6,7,8}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,6},{2,3,4},{5},{7},{8}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => [3,3,3,1] => 3
{{1,6},{2,3,4},{5},{7,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,7},{2,3,4},{5},{6},{8}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => [3,3,3,1] => 3
{{1,8},{2,3,4},{5},{6},{7}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => [3,3,3,1] => 3
{{1,8},{2,3,4},{5},{6,7}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,6,8},{2,3,4},{5},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,5,6},{2,3,4},{7},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,7},{2,3,4},{5,6},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,8},{2,3,4},{5,6},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,5,7},{2,3,4},{6},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,8},{2,3,4},{5,7},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,5,8},{2,3,4},{6},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,5,6,7},{2,3,4},{8}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,5,8},{2,3,4},{6,7}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,5,6,8},{2,3,4},{7}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,2,5},{3,4},{6},{7},{8}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => [3,3,3,2] => 3
{{1,2,5},{3,4},{6},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,5},{3,4},{6,7},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,5},{3,4},{6,8},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,5},{3,4},{6,7,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,7},{2,5},{3,4},{6},{8}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,7,8},{2,5},{3,4},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,6,7},{2,5},{3,4},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,6,8},{2,5},{3,4},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,6,7,8},{2,5},{3,4}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,6},{3,4},{5},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,7},{2,6},{3,4},{5},{8}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,8},{2,6},{3,4},{5},{7}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,7,8},{2,6},{3,4},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,8},{2,7},{3,4},{5},{6}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,2,8},{3,4},{5},{6},{7}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => [3,3,3,2] => 3
{{1,2,7,8},{3,4},{5},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,8},{2,6,7},{3,4},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,2,8},{3,4},{5},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,6,8},{3,4},{5},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,5,6},{3,4},{7},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,8},{2,5,6},{3,4},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,7,8},{2,5,6},{3,4}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,2,7},{3,4},{5,6},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,8},{3,4},{5,6},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,5,7},{3,4},{6},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,8},{2,5,7},{3,4},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,2,8},{3,4},{5,7},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,5,8},{3,4},{6},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,3,5},{4},{6},{7,8}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,2,3,5},{4},{6,8},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,2,3,5},{4},{6,7,8}} => [4,1,3] => [[6,4,4],[3,3]] => [3,3] => 2
{{1,6},{2,3,5},{4},{7,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,8},{2,3,5},{4},{6},{7}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => [3,3,3,1] => 3
{{1,7,8},{2,3,5},{4},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,6,7},{2,3,5},{4},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,8},{2,3,5},{4},{6,7}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,6,8},{2,3,5},{4},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,6,7,8},{2,3,5},{4}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,2,6},{3,5},{4},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,7},{2,6},{3,5},{4},{8}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,7,8},{2,6},{3,5},{4}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,7,8},{3,5},{4},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,8},{2,6,7},{3,5},{4}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,2,8},{3,5},{4},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,6,8},{3,5},{4},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,3,6},{4},{5},{7,8}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,8},{2,3,6},{4},{5},{7}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => [3,3,3,1] => 3
{{1,7,8},{2,3,6},{4},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,7,8},{3,6},{4},{5}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,8},{2,3,7},{4},{5},{6}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => [3,3,3,1] => 3
{{1,2,3,8},{4},{5},{6},{7}} => [4,1,1,1,1] => [[4,4,4,4,4],[3,3,3,3]] => [3,3,3,3] => 4
{{1,2,3,7,8},{4},{5},{6}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,8},{2,3,6,7},{4},{5}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,2,8},{3,6,7},{4},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,3,8},{4},{5},{6,7}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,2,3,6,8},{4},{5},{7}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,2,3,6,7,8},{4},{5}} => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 2
{{1,2,3,5,6},{4},{7},{8}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,7},{2,3,5,6},{4},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,8},{2,3,5,6},{4},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,2,7},{3,5,6},{4},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,8},{2,7},{3,5,6},{4}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,2,8},{3,5,6},{4},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,3,7},{4},{5,6},{8}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,8},{2,3,7},{4},{5,6}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,2,8},{3,7},{4},{5,6}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,3,8},{4},{5,6},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,2,3,5,7},{4},{6},{8}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,8},{2,3,5,7},{4},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,2,8},{3,5,7},{4},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,3,8},{4},{5,7},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,2,3,5,8},{4},{6},{7}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,2,3,5,7,8},{4},{6}} => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 2
{{1,2,3,5,6,7},{4},{8}} => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 2
{{1,2,3,8},{4},{5,6,7}} => [4,1,3] => [[6,4,4],[3,3]] => [3,3] => 2
{{1,2,3,5,6,8},{4},{7}} => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 2
{{1,2,3,5,6,7,8},{4}} => [7,1] => [[7,7],[6]] => [6] => 1
{{1,2,3,4,5},{6},{7},{8}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,6},{2,3,4,5},{7},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,7},{2,3,4,5},{6},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,6,8},{2,3,4,5},{7}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,6,7,8},{2,3,4,5}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,2,6},{3,4,5},{7},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,6},{3,4,5},{7,8}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,7},{2,6},{3,4,5},{8}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,8},{2,6},{3,4,5},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,7,8},{2,6},{3,4,5}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,8},{2,7},{3,4,5},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,2,8},{3,4,5},{6,7}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,2,3,6},{4,5},{7},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,3,6},{4,5},{7,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,8},{2,3,6},{4,5},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,7,8},{2,3,6},{4,5}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,2,7},{3,6},{4,5},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,8},{3,6},{4,5},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,3,7},{4,5},{6},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,8},{2,3,7},{4,5},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,2,8},{3,7},{4,5},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,3,8},{4,5},{6},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,8},{2,3,6,7},{4,5}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,2,3,8},{4,5},{6,7}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,3,4,6},{5},{7},{8}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,8},{2,3,4,6},{5},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,7,8},{2,3,4,6},{5}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,2,7},{3,4,6},{5},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,8},{2,7},{3,4,6},{5}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,2,8},{3,4,6},{5},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,7,8},{3,4,6},{5}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,2,3,7},{4,6},{5},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,8},{2,3,7},{4,6},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,2,8},{3,7},{4,6},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,3,8},{4,6},{5},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,3,4,7},{5},{6},{8}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,8},{2,3,4,7},{5},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,2,8},{3,4,7},{5},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,3,8},{4,7},{5},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,3,4,8},{5},{6},{7}} => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 3
{{1,2,3,4,7,8},{5},{6}} => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 2
{{1,2,3,4,6,7},{5},{8}} => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 2
{{1,2,8},{3,4,6,7},{5}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,2,3,4,6,8},{5},{7}} => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 2
{{1,2,3,4,6,7,8},{5}} => [7,1] => [[7,7],[6]] => [6] => 1
{{1,2,3,4,5,6},{7},{8}} => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 2
{{1,2,7},{3,4,5,6},{8}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,2,7,8},{3,4,5,6}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,2,3,7},{4,5,6},{8}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,8},{2,3,7},{4,5,6}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,2,8},{3,7},{4,5,6}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,2,3,8},{4,5,6},{7}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,8},{2,3,4,7},{5,6}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,2,8},{3,4,7},{5,6}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,2,3,8},{4,7},{5,6}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,3,4,5,7},{6},{8}} => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 2
{{1,2,8},{3,4,5,7},{6}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,2,3,8},{4,5,7},{6}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,2,3,4,5,8},{6},{7}} => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 2
{{1,2,3,4,5,7,8},{6}} => [7,1] => [[7,7],[6]] => [6] => 1
{{1,2,3,4,5,6,7},{8}} => [7,1] => [[7,7],[6]] => [6] => 1
{{1,2,3,8},{4,5,6,7}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,2,3,4,5,6,8},{7}} => [7,1] => [[7,7],[6]] => [6] => 1
{{1,3,5,7},{2,4,6,8}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,2,5,7},{3,4,6,8}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,3,4,7},{2,5,6,8}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,2,4,7},{3,5,6,8}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,2,3,7},{4,5,6,8}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,3,5,6},{2,4,7,8}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,2,5,6},{3,4,7,8}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,3,4,6},{2,5,7,8}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,2,4,6},{3,5,7,8}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,2,3,6},{4,5,7,8}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,3,4,5},{2,6,7,8}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,2,4,5},{3,6,7,8}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,2,3,5},{4,6,7,8}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,3,6,8},{2,5,7},{4}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,2,6,8},{3,5,7},{4}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,2,5,8},{3,6,7},{4}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,2,5,8},{3,4,7},{6}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,3,4,8},{2,5,7},{6}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,2,5,8},{3,4,6},{7}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,2,4,8},{3,5,6},{7}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,2,6,7},{3,5,8},{4}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,3,6,7},{2,4,8},{5}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,4,5,7},{2,6,8},{3}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,3,5,7},{2,6,8},{4}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,3,4,7},{2,6,8},{5}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,2,4,7},{3,6,8},{5}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,3,5,7},{2,4,8},{6}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,2,5,7},{3,4,8},{6}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,2,4,7},{3,5,8},{6}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,3,4,5},{2,7,8},{6}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,2,4,5},{3,7,8},{6}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,3,5,6},{2,4,8},{7}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,2,3,6},{4,5,8},{7}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,2,4,5},{3,6,8},{7}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,3,5,7},{2,4,6},{8}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,3,4,6},{2,5,7},{8}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,2,3,5},{4,6,7},{8}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,4,7,8},{2,5},{3,6}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,7,8},{3,5},{4,6}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,6,8},{3,5},{4,7}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,3,6,8},{2,4},{5,7}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,4,5,8},{2,6},{3,7}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,3,5,8},{2,6},{4,7}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,5,8},{3,6},{4,7}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,3,4,8},{2,6},{5,7}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,3,5,8},{2,4},{6,7}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,4,8},{3,5},{6,7}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,3,6,7},{2,4},{5,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,6,7},{3,4},{5,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,4,5,7},{2,6},{3,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,3,5,7},{2,6},{4,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,3,4,7},{2,6},{5,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,3,7},{4,6},{5,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,5,7},{3,4},{6,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,3,4,7},{2,5},{6,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,5,6},{3,7},{4,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,3,4,6},{2,7},{5,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,4,6},{3,7},{5,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,3,6},{4,7},{5,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,4,5},{3,7},{6,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,3,5},{4,7},{6,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,3,4},{5,7},{6,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,3,5,6},{2,4},{7,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,3,4,6},{2,5},{7,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,4,6},{3,5},{7,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,4,5},{3,6},{7,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,3,5},{4,6},{7,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,5,7,8},{2,6},{3},{4}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,4,7,8},{2,6},{3},{5}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,7,8},{2,6},{4},{5}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,4,7,8},{2,5},{3},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,7,8},{2,5},{4},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,7,8},{2,4},{5},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,5,6,8},{2,7},{3},{4}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,4,6,8},{2,7},{3},{5}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,6,8},{2,7},{4},{5}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,6,8},{3,7},{4},{5}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,4,5,8},{2,7},{3},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,5,8},{2,7},{4},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,5,8},{3,7},{4},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,4,8},{2,7},{5},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,4,8},{3,7},{5},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,4,6,8},{2,5},{3},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,6,8},{2,5},{4},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,6,8},{2,4},{5},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,4,5,8},{2,6},{3},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,5,8},{2,6},{4},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,5,8},{3,6},{4},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,4,8},{2,6},{5},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,4,8},{3,6},{5},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,4,8},{2,5},{6},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,4,8},{3,5},{6},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,5,6,7},{2,8},{3},{4}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,4,6,7},{2,8},{3},{5}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,6,7},{2,8},{4},{5}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,6,7},{3,8},{4},{5}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,4,5,7},{2,8},{3},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,5,7},{2,8},{4},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,5,7},{3,8},{4},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,4,7},{2,8},{5},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,4,7},{3,8},{5},{6}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,4,5,6},{2,8},{3},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,5,6},{2,8},{4},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,5,6},{3,8},{4},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,4,6},{2,8},{5},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,4,6},{3,8},{5},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,3,6},{4,8},{5},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,4,5},{2,8},{6},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,4,5},{3,8},{6},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,3,5},{4,8},{6},{7}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,4,6,7},{2,5},{3},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,6,7},{2,5},{4},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,4,5,7},{2,6},{3},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,5,7},{2,6},{4},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,5,7},{3,6},{4},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,4,7},{2,6},{5},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,4,7},{3,6},{5},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,5,7},{2,4},{6},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,4,7},{2,5},{6},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,4,7},{3,5},{6},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,4,5,6},{2,7},{3},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,4,6},{2,7},{5},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,4,6},{3,7},{5},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,3,6},{4,7},{5},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,4,5},{2,7},{6},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,4,5},{3,7},{6},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,3,5},{4,7},{6},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,5,6},{2,4},{7},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,4,6},{3,5},{7},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,3,4,5},{2,6},{7},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,4,5},{3,6},{7},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,2,3,5},{4,6},{7},{8}} => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 2
{{1,4,7},{2,5,8},{3,6}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,3,7},{2,4,8},{5,6}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,4,6},{2,5,8},{3,7}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,3,6},{2,5,8},{4,7}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,2,6},{3,4,8},{5,7}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,4,5},{2,6,8},{3,7}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,3,5},{2,6,8},{4,7}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,2,5},{3,6,8},{4,7}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,3,4},{2,6,8},{5,7}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,3,5},{2,4,8},{6,7}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,2,5},{3,4,8},{6,7}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,3,4},{2,5,8},{6,7}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,2,4},{3,5,8},{6,7}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,4,6},{2,5,7},{3,8}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,3,6},{2,5,7},{4,8}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,2,4},{3,5,7},{6,8}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,2,5},{3,4,6},{7,8}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,3,4},{2,5,6},{7,8}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,2,4},{3,5,6},{7,8}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,5,7},{2,6,8},{3},{4}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,4,7},{2,6,8},{3},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3,7},{2,6,8},{4},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,7},{3,6,8},{4},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,4,7},{2,5,8},{3},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3,7},{2,5,8},{4},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,7},{3,5,8},{4},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3,7},{2,4,8},{5},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,7},{3,4,8},{5},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,5,6},{2,7,8},{3},{4}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,4,6},{2,7,8},{3},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3,6},{2,7,8},{4},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,6},{3,7,8},{4},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,4,5},{2,7,8},{3},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3,5},{2,7,8},{4},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,5},{3,7,8},{4},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3,4},{2,7,8},{5},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,4},{3,7,8},{5},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,4,6},{2,5,8},{3},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3,6},{2,5,8},{4},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,6},{3,5,8},{4},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3,6},{2,4,8},{5},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,6},{3,4,8},{5},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,4,5},{2,6,8},{3},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3,5},{2,6,8},{4},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,5},{3,6,8},{4},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3,4},{2,6,8},{5},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,4},{3,6,8},{5},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3,5},{2,4,8},{6},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,5},{3,4,8},{6},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3,4},{2,5,8},{6},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,4},{3,5,8},{6},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,4,6},{2,5,7},{3},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3,6},{2,5,7},{4},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,6},{3,5,7},{4},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3,6},{2,4,7},{5},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3,5},{2,6,7},{4},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,5},{3,6,7},{4},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3,4},{2,6,7},{5},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3,5},{2,4,7},{6},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,5},{3,4,7},{6},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3,4},{2,5,7},{6},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,4},{3,5,7},{6},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3,5},{2,4,6},{7},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,5},{3,4,6},{7},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,5,8},{2,6},{3,7},{4}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,8},{2,6},{3,7},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,8},{2,6},{4,7},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,8},{3,6},{4,7},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,8},{2,5},{3,7},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,8},{2,5},{4,7},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,8},{3,5},{4,7},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,8},{2,4},{5,7},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,8},{2,5},{3,6},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,8},{2,5},{4,6},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,8},{3,5},{4,6},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,8},{2,4},{5,6},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,5,7},{2,6},{3,8},{4}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,7},{2,6},{3,8},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,7},{2,6},{4,8},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,7},{3,6},{4,8},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,7},{2,5},{3,8},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,7},{2,5},{4,8},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,7},{3,5},{4,8},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,7},{2,4},{5,8},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,7},{3,4},{5,8},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,5,6},{2,7},{3,8},{4}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,6},{2,7},{3,8},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,6},{2,7},{4,8},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,6},{3,7},{4,8},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,5},{2,7},{3,8},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,5},{2,7},{4,8},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,5},{3,7},{4,8},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,4},{2,7},{5,8},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,4},{3,7},{5,8},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,3},{4,7},{5,8},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,6},{2,5},{3,8},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,6},{2,5},{4,8},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,6},{3,5},{4,8},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,6},{2,4},{5,8},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,6},{3,4},{5,8},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,5},{2,6},{3,8},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,5},{2,6},{4,8},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,5},{3,6},{4,8},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,4},{2,6},{5,8},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,4},{3,6},{5,8},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,3},{4,6},{5,8},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,5},{2,4},{6,8},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,4},{2,5},{6,8},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,7},{2,5},{3,6},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,7},{2,5},{4,6},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,7},{3,5},{4,6},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,7},{2,4},{5,6},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,6},{3,5},{4,7},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,6},{2,4},{5,7},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,6},{3,4},{5,7},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,5},{2,6},{3,7},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,5},{2,6},{4,7},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,5},{3,6},{4,7},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,4},{2,6},{5,7},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,4},{3,6},{5,7},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,3},{4,6},{5,7},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,4},{2,5},{6,7},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,8},{2,4},{5},{6},{7}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => [3,3,3,2] => 3
{{1,6,7},{2,8},{3},{4},{5}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => [3,3,3,2] => 3
{{1,3,4},{2,8},{5},{6},{7}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => [3,3,3,2] => 3
{{1,4,7},{2,6},{3},{5},{8}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => [3,3,3,2] => 3
{{1,4,7},{2,5},{3},{6},{8}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => [3,3,3,2] => 3
{{1,3,7},{2,4},{5},{6},{8}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => [3,3,3,2] => 3
{{1,4,6},{2,7},{3},{5},{8}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => [3,3,3,2] => 3
{{1,3,5},{2,4},{6},{7},{8}} => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => [3,3,3,2] => 3
{{1,5},{2,6},{3,7},{4},{8}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,3},{2,6},{4,7},{5},{8}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,3},{2,5},{4,7},{6},{8}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,4},{2,5},{3,6},{7},{8}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,3},{2,5},{4,6},{7},{8}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,7},{2,8},{3},{4},{5},{6}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,6},{2,8},{3},{4},{5},{7}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,4},{2,8},{3},{5},{6},{7}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,3},{2,8},{4},{5},{6},{7}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,5},{2,6},{3},{4},{7},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,4},{2,5},{3},{6},{7},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,3},{2,4},{5},{6},{7},{8}} => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 4
{{1,3,5,8},{2},{4,6},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,3,5,7},{2},{4},{6,8}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,5,7},{2,4},{3},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5},{2,4,8},{3},{6,7}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,5,8},{2,4},{3,6},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,6,8},{2,4},{3,5},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1},{2,3,5,8},{4,6},{7}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1,5,8},{2,6},{3,4},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,8},{2,6},{3,5},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4},{2,5,8},{3},{6,7}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,4,7},{2,5},{3},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,4},{2},{3,6,7},{5,8}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,4},{2},{3,6},{5,7,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,4},{2},{3,7},{5,6,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,4},{2},{3,5,8},{6,7}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,5},{2},{3,4,8},{6,7}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,2,5},{3},{4,7,8},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,2,5,7},{3},{4,8},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1},{2,3,5,7},{4},{6,8}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => [3,3] => 2
{{1,5,7},{2},{3,4},{6,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,4,7},{2},{3,5},{6,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,4},{2},{3,8},{5,6,7}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,4,6},{2},{3,8},{5,7}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,4,6},{2},{3,7},{5,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1},{2,6},{3,4,7},{5,8}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1,6},{2,3,7},{4},{5,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,2},{3,6,7},{4,8},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,2},{3,6},{4,7,8},{5}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,6},{2,3},{4},{5,7,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1},{2,6},{3,4},{5,7,8}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,7},{3,4},{5,6,8}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1,7},{2,3},{4},{5,6,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,2},{3,7},{4,6,8},{5}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,2},{3,5,8},{4,7},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,7},{2,3,8},{4,5},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1},{2,5},{3,4,8},{6,7}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,4},{3,5,8},{6,7}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,4},{3,7},{5,6,8}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,4},{3,6},{5,7,8}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,4},{3,6,7},{5,8}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1,3},{2,6,7},{4},{5,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,3},{2,6},{4},{5,7,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,3},{2,7},{4},{5,6,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,3},{2,7,8},{4,5},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3,8},{2,4,7},{5},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,4,8},{2,3,7},{5},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,4,7},{2,3,8},{5},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3,7},{2,8},{4,5},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3},{2,8},{4},{5,6,7}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,3,6},{2,8},{4},{5,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3,6},{2,7},{4},{5,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1},{2,4,6},{3,7},{5,8}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,4,6},{3,8},{5,7}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,4},{3,8},{5,6,7}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,4,7},{3,5},{6,8}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,5,7},{3,4},{6,8}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,8},{3,4,6},{5,7}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1,8},{2,3,6},{4},{5,7}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,2,6},{3,8},{4,7},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,7},{2,3,6},{4},{5,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1},{2,7},{3,4,6},{5,8}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1,2},{3,6,8},{4,7},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,2},{3,5,7},{4,8},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,2},{3,7},{4,5,8},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,4,8},{2,7},{3},{5,6}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3,7},{2,8},{4},{5,6}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3,7},{2,8},{4,6},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,7},{2},{4,5,8},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,7},{2,3},{4,5,8},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,7},{2,3,8},{4,6},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,7},{2,3,8},{4},{5,6}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,7,8},{2,5},{3,6},{4}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,7},{2,4,6,8},{3},{5}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,7},{2,4,5},{3,8},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,4,6},{2,5},{3},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5,7,8},{2},{3,6},{4}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,5,8},{2,7},{3,6},{4}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,8},{2,5,7},{3,6},{4}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,5,8},{2,6,7},{3},{4}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,4,5,7},{2},{3,8},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,3,5},{2,6},{4},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3,6},{2,8},{4,7},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,6,8},{2},{3,7},{5}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,8},{2,4,6},{3,7},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,4,8},{2,5},{3},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3,5},{2,8},{4},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5},{2,3,8},{4},{6,7}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,8},{2,6},{3,4,7},{5}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,6,8},{2},{3,4,7},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,6,8},{2,4},{3,7},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,6},{2,3,8},{4,7},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,6},{2,3,7,8},{4},{5}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,5},{2,3,7},{4,8},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,5},{2,3,6},{4},{7,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,5,7},{2,4},{3,8},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,6,7},{2,4,8},{3},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,6,8},{2,5,7},{3},{4}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,6,8},{2,7},{3,5},{4}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,6,8},{2,7},{3},{4,5}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,6,7},{2,8},{3,4},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,5,7},{2},{3,4,8},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,7},{2,5},{3,4,8},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,7},{2,6,8},{3,4},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,4,8},{2,3,6},{5},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,5},{2,4,8},{3,7},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,5},{2,4,7},{3,8},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,5},{2,4,8},{3,6},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,6},{2,4,8},{3,5},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,6},{2,5},{3,4,8},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,6},{2,3,5},{4,8},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,5},{2,3,6},{4,8},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,5},{2,6},{3,4,8},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,4,8},{2,7},{3,6},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,7},{2,8},{3,6},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,6},{2,8},{3,7},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,7},{2,8},{3,5},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,5},{2,8},{3,4,7},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,5},{2,3,8},{4,7},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,2,5},{3,8},{4,7},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,5},{2,7},{3,4,8},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,4,8},{2,7},{3,5},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,7},{2,6},{3,4,8},{5}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,7},{2,3,6},{4,8},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,8},{2,3,6},{4,7},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,8},{2,3,5},{4,7},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,8},{2,5},{3,4,7},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,8},{2,4,7},{3,5},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,8},{2,4,7},{3,6},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,7},{2,4,8},{3,6},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3,5},{2,8},{4,7},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,8},{2,7},{4,6},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,6},{2,4,8},{3,7},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,6},{2,4,7},{3,8},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,7},{2,4,6},{3,8},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,7},{2,4,8},{3,5},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,7},{2,3,5},{4,8},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,2,7},{3,8},{4,6},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,7},{2,8},{3,4,6},{5}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,6},{2,8},{3,4,7},{5}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,6},{2,3,7},{4,8},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,6},{2,7},{3,4,8},{5}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,3,5},{2},{4,6,8},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,3},{2,4,6,8},{5},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1},{2,4,6,8},{3},{5,7}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => [3,3] => 2
{{1,3},{2},{4,6,8},{5,7}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,3,6},{2},{4,8},{5,7}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3,6},{2},{4,7},{5,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3,5},{2},{4,7},{6,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3,5,7},{2},{4,6},{8}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,3,7},{2},{4,6,8},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,3,7},{2},{4,6},{5,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3,5,7},{2},{4,8},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,3},{2,4,8},{5,7},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1},{2,4,8},{3,5,7},{6}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1,4},{2,8},{3,5,7},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,4},{2,5,7},{3,8},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3},{2,5,7},{4,8},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3},{2,7},{4,6,8},{5}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,3,7},{2,4,6},{5},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,7},{2,4,6},{3},{5,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,5,7},{2,4,8},{3},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1},{2,8},{3,5,7},{4,6}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1,7},{2,4,6},{3,5},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,4,7},{2,6},{3,5},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1},{2,5,8},{3,7},{4,6}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,5,8},{3,6},{4,7}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,4,8},{3,6},{5,7}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,4,6,8},{3,5},{7}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1,4},{2,6,8},{3,5},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,4},{2,5},{3,6,8},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,3},{2,5},{4,6,8},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,5},{2,4,6,8},{3},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,5},{2,4},{3,6,8},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1},{2,6,8},{3,5,7},{4}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1,6},{2,8},{3,5,7},{4}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,6},{2,4,8},{3},{5,7}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,6},{2,4,7},{3},{5,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,5},{2,4,7},{3},{6,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,5,7},{2,4,6},{3},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,5,7},{2,4},{3,6},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1},{2,6,8},{3,5},{4,7}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,4,6,8},{3,7},{5}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1,6},{2,7},{3,5,8},{4}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,3,5},{2,7},{4},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,7},{2,6,8},{3,5},{4}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,7},{2,6},{3,5,8},{4}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,2},{3,4,6},{5,8},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,2},{3,6},{4,5,8},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,2},{3,5,6},{4,8},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,2,5,6},{3},{4,8},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,2,6},{3},{4,5,8},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,6},{2,3},{4,5,8},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,5,6},{2,3},{4,8},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,5,6},{2,3,8},{4},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,5,6},{2,8},{3,4},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,5},{2,8},{3,4,6},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,5},{2,3,8},{4,6},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,6},{2,3,5,8},{4},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,2,5},{3,8},{4,6},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,4},{3,6},{5},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,4,6},{3},{5,8},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,2,4},{3,8},{5,7},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,4},{3,8},{5},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,4},{2,3,8},{5},{6,7}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,3,4},{2,8},{5},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3,4},{2,8},{5,7},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4},{2,3,8},{5,7},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,4,6},{2,3},{5,8},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4},{2,3,6},{5},{7,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,4},{2,3,6,8},{5},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,4},{2,3,6},{5,8},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,8},{2,4,5},{3,7},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3,8},{2,6},{4,5},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,4},{2,6},{5},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,6},{2,5,8},{3,4},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,6},{2,4,5},{3,8},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,4,5},{2,8},{3,6},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,8},{2,5,6},{4},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3,8},{2,5},{4},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5},{2,4},{3,7,8},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,5,6},{2,4},{3,8},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4},{2,8},{3,5,6},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,4},{2,7,8},{3,5},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,4,7},{2,8},{3},{5,6}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5,7},{2,8},{3,4},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,5,7},{2,3,8},{4},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,5},{3,7},{4},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5},{2,3,7},{4},{6,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,4,5},{2,7},{3},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,4},{2,7},{3},{5,6,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,4},{2,6,7},{3},{5,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,4},{2,6},{3},{5,7,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,6},{2,5,7,8},{3},{4}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,6,7},{2,5,8},{3},{4}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,7},{2,5,6,8},{3},{4}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,7},{2,6,8},{3},{4,5}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,7},{2,3,6,8},{4},{5}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,2,8},{3,6},{4},{5,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,8},{2,6},{3},{4,5,7}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,8},{2,5,6},{3},{4,7}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,8},{2,5},{3},{4,6,7}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,7,8},{2,5},{3},{4,6}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,8},{2,4},{3,6,7},{5}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,7,8},{2,4},{3,6},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4},{2,3,7},{5,8},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3},{2,7},{4,5,8},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,3},{2,6,7},{4,8},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3},{2,6},{4,7,8},{5}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,6},{2,4,7,8},{3},{5}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,7},{2,4,8},{3},{5,6}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,7},{2,4,5,8},{3},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,7},{2,5,8},{3,4},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,7},{2,3,5,8},{4},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,2,7},{3},{4,6},{5,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,7},{2},{3,4,6},{5,8}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,7},{2},{3,6},{4,5,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,7},{2},{3,5,6},{4,8}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,6,7},{2},{3,5},{4,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,6},{2},{3,5},{4,7,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,5},{2},{3,7,8},{4,6}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,5},{2},{3,8},{4,6,7}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,5,6},{2},{3,8},{4,7}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,6},{2},{3,8},{4,5,7}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,6},{2},{3,4,8},{5,7}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,2,6},{3},{4,8},{5,7}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,2,6,8},{3},{4,7},{5}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,6,8},{2,3},{4,7},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,6,8},{2},{3,7},{4,5}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,5,6,8},{2},{3,7},{4}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,5,8},{2},{3,6,7},{4}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,9},{2},{3},{4},{5},{6},{7},{8}} => [2,1,1,1,1,1,1,1] => [[2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1] => 7
{{1,10},{2},{3},{4},{5},{6},{7},{8},{9}} => [2,1,1,1,1,1,1,1,1] => [[2,2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1,1] => 8
{{1,2,3,4,5,6,7,8},{9}} => [8,1] => [[8,8],[7]] => [7] => 1
{{1,2,3,4,5,6,7,8,9},{10}} => [9,1] => [[9,9],[8]] => [8] => 1
{{1,2,3,4,5,6,8},{7},{9}} => [7,1,1] => [[7,7,7],[6,6]] => [6,6] => 2
{{1,2,3,4,5,7,8},{6},{9}} => [7,1,1] => [[7,7,7],[6,6]] => [6,6] => 2
{{1,3,6,8},{2},{4},{5,7}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,4,6,8},{2},{3,5},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,5,7},{2,3},{4,8},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,8},{2},{3,6},{5,7}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3,8},{2},{4,6},{5,7}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,4,7,8},{2},{3,6},{5}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,4,6,7},{2},{3,5},{8}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,4,8},{2},{3,7},{5,6}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,5,8},{2},{3,7},{4,6}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,5,8},{2},{3,6},{4,7}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,4,7},{2,3},{5,8},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3},{2,5,8},{4,7},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,5},{2,4,7,8},{3},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,3},{2,4,6,7},{5},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,3},{2,4,8},{5,6},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3},{2,5,8},{4,6},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,6},{2,3,4},{5,8},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,6},{2,4},{3,5,8},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,4},{2,6},{3,5,8},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,4},{2,5,6},{3,7},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,4},{2,6,7},{3,8},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,2,5},{3,6},{4},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,4},{3,7},{5,6},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,4},{2,7},{5,6},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,6,7},{2,8},{3},{4,5}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5,6},{2,3},{4,7},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,6},{2,3},{5,7},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4},{2,3,6},{5,7},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,4},{2,3,7},{5},{6,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,2,4},{3,7},{5},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3,4},{2,7},{5},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,7},{3},{4,5},{6,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,2,6},{3},{4},{5,7,8}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,7},{2,3,4},{5},{6,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,7},{2,4},{3,6,8},{5}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,4},{2,7},{3,6,8},{5}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,4},{2,6},{3,5,7},{8}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,6},{2,4},{3,5,7},{8}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,6},{2,3,4},{5,7},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3},{2,5,7},{4,6},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3},{2,4,7},{5,6},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,5},{2,7,8},{3},{4,6}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,7},{2,4},{3,5,6},{8}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,6},{2,5},{3,7,8},{4}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,5},{2,6},{3,7,8},{4}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,4},{2,8},{3,6,7},{5}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,4},{2,7},{3,5,6},{8}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,3},{2,4,5,6},{7,8}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,4},{2,3,5,6},{7,8}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,4},{2,3,5,7},{6,8}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,3},{2,4,5,7},{6,8}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,2},{3,4,5,7},{6,8}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,2},{3,4,6,7},{5,8}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,3},{2,4,6,7},{5,8}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,4},{2,3,6,7},{5,8}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,5},{2,3,6,7},{4,8}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,2},{3,5,6,8},{4,7}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,3},{2,5,6,8},{4,7}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,4},{2,5,6,8},{3,7}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,5},{2,4,6,8},{3,7}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,4,5,8},{2,3,6,7}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,4},{2},{3,5,6},{7,8}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,4,5},{2},{3,6},{7,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,5},{2},{3,4,6},{7,8}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,4,5},{2},{3,7,8},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,4,5},{2},{3,8},{6,7}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,6,7},{2},{3,4,8},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,7},{2},{3,4,8},{5,6}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,4,6,7},{2},{3,8},{5}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,4,6},{2},{3,7,8},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,3,6},{2},{4},{5,7,8}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,2},{3,6},{4},{5,7,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,6},{2,4},{3},{5,7,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,6,7},{2,3},{4},{5,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,7},{2,4},{3},{5,6,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,6,7},{2,4},{3},{5,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2},{3,6,7},{4},{5,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,3,6,7},{2},{4},{5,8}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,3,7},{2},{4},{5,6,8}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,2},{3,7},{4},{5,6,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,4,7},{2},{3,8},{5,6}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,7},{2,4,5},{3},{6,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,8},{2,4,5},{3,6},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,8},{2,4},{3,5,6},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,5,8},{2,3},{4,6},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,8},{2,5},{3,4,6},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,4,8},{2},{3,5,6},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,4},{2},{3,6,8},{5,7}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,5,7},{2,3},{4},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,4,6},{2},{3},{5,7,8}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1},{2,5,6},{3,7},{4,8}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,5,6},{3},{4,7,8}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,5},{3,7},{4,6,8}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1},{2},{3,6,7},{4,5,8}} => [1,1,3,3] => [[5,3,1,1],[2]] => [2] => 1
{{1},{2,3,6,7},{4},{5,8}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => [3,3] => 2
{{1},{2,3,6},{4,8},{5,7}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,5},{3,6},{4,7,8}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,5},{3,6,7},{4,8}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1},{2},{3,5,6},{4,7,8}} => [1,1,3,3] => [[5,3,1,1],[2]] => [2] => 1
{{1},{2,4,8},{3,5},{6,7}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,4},{3,6,8},{5,7}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,4,7},{3,6},{5,8}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1,3},{2,8},{4,5,7},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,3},{2,4,7,8},{5},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,7},{2,3,4,8},{5},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1},{2,4,7},{3},{5,6,8}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => [2,2] => 2
{{1,7},{2},{3,4,5},{6,8}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1},{2,3,7},{4,8},{5,6}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2},{3,5,7},{4,6,8}} => [1,1,3,3] => [[5,3,1,1],[2]] => [2] => 1
{{1},{2,6},{3,5},{4,7,8}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,6},{3,5,7},{4,8}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1,5},{2},{3,6,7},{4,8}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,5},{2},{3,6},{4,7,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,6},{2},{3,4},{5,7,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,2,6},{3},{4,7,8},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,6},{2},{3,4,7},{5,8}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1},{2,6},{3,7},{4,5,8}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1,5},{2},{3,7},{4,6,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,5},{2,6},{3},{4,7,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,3,6},{2,5},{4},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5},{2,4,6},{3},{7,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,4,5},{2,6},{3},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5,8},{2,7},{3,4},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,5},{2,8},{3},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,6,7},{2,8},{3,5},{4}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,6},{2,8},{3},{4,5,7}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,6},{2,5,8},{3},{4,7}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,6},{2,4,5,8},{3},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,5},{2,7},{3},{4,6,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,7},{2,5},{3,6,8},{4}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,8},{2,6},{3,5,7},{4}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,5,8},{2,3},{4,7},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,7},{2,3},{4,6,8},{5}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,6,7},{2,3},{4,8},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,8},{2,5,6},{3,7},{4}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3,8},{2,6},{4},{5,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,6,7},{2,5},{3,8},{4}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,5},{2,6,7},{3},{4,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,3,8},{2,7},{4,5},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,5,6},{2,4,8},{3},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,5,6},{2,8},{3},{4,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5,7},{2},{3,6,8},{4}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,5},{2},{3,6,8},{4,7}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,6,8},{2,5},{3},{4,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5},{2,6,8},{3},{4,7}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,5,7},{2,6},{3},{4,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,6},{2,5,7},{3},{4,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,5,7},{2},{3,6},{4,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,5,7},{2},{3,8},{4,6}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,5,6},{2},{3,7},{4,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,5,8},{2,6},{3},{4,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,7},{2,5,8},{3,6},{4}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,7},{2,5,8},{3},{4,6}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,7},{2,5,6},{3},{4,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,6,7},{2,5},{3},{4,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,6},{2,5},{3},{4,7,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,5,6},{2,7},{3},{4,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5,8},{2,7},{3},{4,6}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,6},{2,5,8},{3,7},{4}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,5,6},{2,8},{3,7},{4}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,5},{2,8},{3,6,7},{4}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,5},{2,7,8},{3,6},{4}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,8},{2,5},{3,6,7},{4}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,8},{2,5,7},{3},{4,6}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,5,7},{2,8},{3,6},{4}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,5},{2,7},{3,6,8},{4}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,7},{2,5},{3},{4,6,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,6,8},{2,5},{3,7},{4}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,5},{2,6,8},{3,7},{4}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,6},{2,5,7},{3,8},{4}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,5,7},{2,8},{3},{4,6}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,5},{2,8},{3},{4,6,7}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,6},{2,7,8},{3,5},{4}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,7},{2,8},{3,5,6},{4}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,7},{2,5,6},{3,8},{4}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,5},{2,6,7},{3,8},{4}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3,8},{2,4,6},{5},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,8},{2,3,5},{4,6},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,8},{2,4,6},{3,5},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,7},{2,8},{3,4,5},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,2,7},{3,8},{4,5},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,5},{2},{4,6},{7,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3,6},{2},{4,7,8},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,6},{2},{3,7,8},{4,5}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,6,7},{2},{3,8},{4,5}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3,6,7},{2},{4,8},{5}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,4,8},{2},{3,6,7},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,5,6},{2},{3,4,8},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,6,7},{2},{3,5,8},{4}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,4},{2,6,8},{3},{5,7}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,8},{2,4,6},{3},{5,7}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,7},{2},{3,6,8},{4,5}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,6,8},{2},{3,5,7},{4}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,4},{2},{3,5,7},{6,8}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,2},{3,5,7},{4},{6,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,5,8},{2},{3,4,7},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,2},{3,4,7},{5},{6,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,2,5},{3},{4,7},{6,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,2,5,8},{3},{4,7},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,2},{3,4,7},{5,8},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,2},{3,5},{4,6,8},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,2,6},{3},{4,7},{5,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3,7},{2,6},{4},{5,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,6},{3,7},{4},{5,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,5},{3},{4,6,8},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,2,5},{3},{4,6},{7,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3},{2,5,6},{4,8},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3},{2,8},{4,5,6},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,3,5},{2,8},{4,6},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,6},{3,8},{4,5},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,4,7},{3},{5,8},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,3,7},{2,5},{4},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,7},{3,4},{5},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,4,7},{3},{5},{6,8}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,2,4},{3},{5,7},{6,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3},{2,4},{5,6,8},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,3},{2,4,7},{5},{6,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,4},{2,5,8},{3,7},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,7},{2,3,4},{5,8},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3},{2,4,7},{5,8},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3},{2,4,6},{5},{7,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,3,4},{2,8},{5,6},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,6},{2,3,4,8},{5},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,4},{2,5,6},{3,8},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,4,6},{2,8},{3,5},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,6},{2,8},{3,4,5},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,2,5,7},{3},{4},{6,8}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,2,5,8},{3},{4,6},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,3,6},{2,8},{4,5},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,6},{2},{3,5},{7,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,2},{3,5,8},{4,6},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3},{2,5,7},{4},{6,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,2,7},{3,5},{4},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3,7},{2,4},{5},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1},{2,3,4,7},{5},{6,8}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => [3,3] => 2
{{1,4},{2,5,7},{3},{6,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,3},{2,4,6},{5,8},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1},{2,3,4},{5,7},{6,8}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,4,5},{3,7},{6,8}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,3,5},{4,7},{6,8}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,3,5},{4,6},{7,8}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1,4},{2,5,8},{3,6},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1},{2,4,5},{3,6},{7,8}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1,4,6,7},{2,3,5,8}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,6},{2,4},{3,7,8},{5}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,6},{2,4},{3,7},{5},{8}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,5,6},{2,3,4,7},{8}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,5,6,7},{2,3,4,8}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,7},{2,8},{3,4},{5},{6}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,6,7},{2,3,4,8},{5}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,5,6,7},{2,4,8},{3}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,5,7},{2,4,6,8},{3}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,5},{2,3},{4,6,7},{8}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,5},{2,3},{4,6,8},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,5,6},{2,3,4,8},{7}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,6},{2,4},{3,8},{5},{7}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,5},{2,3},{4,6},{7},{8}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,5},{2,3},{4,7,8},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,5},{2,3},{4,8},{6},{7}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,5},{2,3},{4,7},{6},{8}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,5,6,8},{2,3,4,7}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,3,7},{2},{4,8},{5,6}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3,6},{2},{4,7},{5},{8}} => [3,1,2,1,1] => [[4,4,4,3,3],[3,3,2,2]] => [3,3,2,2] => 2
{{1,3},{2},{4,7},{5,8},{6}} => [2,1,2,2,1] => [[4,4,3,2,2],[3,2,1,1]] => [3,2,1,1] => 1
{{1},{2,4,7},{3},{5,8},{6}} => [1,3,1,2,1] => [[4,4,3,3,1],[3,2,2]] => [3,2,2] => 1
{{1,6},{2,3,4,7},{5},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,4,8},{2,6,7},{3},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,4,6},{2,8},{3},{5,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,7},{2,4},{3,5,8},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,5,8},{2,3,7},{4},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1},{2,5,8},{3,7},{4},{6}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => [3,3,2] => 2
{{1},{2,7},{3,5,8},{4,6}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1,6},{2,4,7},{3,5},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,7},{2,5},{3,4,6},{8}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1},{2,8},{3,6},{4,5,7}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1,6},{2,3,7},{4,5},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1},{2,7},{3,4,8},{5,6}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1,5},{2,6,8},{3,4},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,4},{2,5,7},{3},{6},{8}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => [3,3,3,1] => 3
{{1,4},{2,5},{3},{6,8},{7}} => [2,2,1,2,1] => [[4,4,3,3,2],[3,2,2,1]] => [3,2,2,1] => 1
{{1,5},{2,3,6,8},{4},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1},{2,5},{3,6,8},{4},{7}} => [1,2,3,1,1] => [[4,4,4,2,1],[3,3,1]] => [3,3,1] => 2
{{1},{2,5,6,7},{3,8},{4}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1},{2,8},{3,5},{4,6,7}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,6,7},{3,4,8},{5}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1,5,6},{2,3,7},{4},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1},{2,6},{3,7},{4,8},{5}} => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 1
{{1},{2,6},{3,7},{4},{5},{8}} => [1,2,2,1,1,1] => [[3,3,3,3,2,1],[2,2,2,1]] => [2,2,2,1] => 3
{{1},{2,5,6},{3,4,7},{8}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1,6,7},{2,3,8},{4},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1},{2,4,6},{3,5,7},{8}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1},{2,3,5},{4,6,7},{8}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1,4,6},{2},{3,5,8},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,6},{2},{3,8},{4},{5},{7}} => [2,1,2,1,1,1] => [[3,3,3,3,2,2],[2,2,2,1,1]] => [2,2,2,1,1] => 3
{{1},{2},{3,5},{4,6},{7},{8}} => [1,1,2,2,1,1] => [[3,3,3,2,1,1],[2,2,1]] => [2,2,1] => 2
{{1,5},{2},{3},{4,8},{6},{7}} => [2,1,1,2,1,1] => [[3,3,3,2,2,2],[2,2,1,1,1]] => [2,2,1,1,1] => 2
{{1},{2,5},{3},{4,7},{6},{8}} => [1,2,1,2,1,1] => [[3,3,3,2,2,1],[2,2,1,1]] => [2,2,1,1] => 2
{{1,7},{2},{3,4},{5,6,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,6,8},{2},{3,4},{5,7}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,2,7},{3},{4,5,8},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,6,7},{2},{3,4},{5,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,8},{2},{3,4,6},{5,7}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1},{2,4,8},{3,7},{5,6}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1,3,8},{2,7},{4},{5,6}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3},{2,7,8},{4},{5,6}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1},{2,4},{3,7,8},{5,6}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1,3},{2,6,8},{4},{5,7}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1},{2,6,8},{3,4},{5,7}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1,6,8},{2,3},{4},{5,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1},{2,6,7},{3,4},{5,8}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1,3},{2,6,8},{4,7},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3,6,8},{2},{4,7},{5}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,4,7},{2,6},{3},{5,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,6,8},{2,4,7},{3},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,4,5,7},{2},{3},{6,8}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,3,4},{2},{5,7},{6,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,3},{2,4},{5,7,8},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,4},{2,5,6},{3},{7,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,5},{2,6,7,8},{3},{4}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,4,5,8},{2},{3,7},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,5},{2,4,6},{3,8},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,4,5},{2},{3,7},{6,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1},{2,4,7},{3,8},{5,6}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1,6},{2,3,8},{4},{5,7}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1},{2,6},{3,4,8},{5,7}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,3},{4,5,7},{6,8}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,3},{4,6,8},{5,7}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,3,5,6},{4,7},{8}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1},{2,3,5,7},{4,8},{6}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1},{2,3,7},{4,6},{5,8}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,3,6},{4,7},{5,8}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1,3},{2,5,8},{4,6,7}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,5},{2,6,7},{3,4},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3},{2,5,7,8},{4,6}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,4,5,7},{2},{3,6},{8}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,4,8},{2},{3,5,7},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,3,8},{2,5,7},{4},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3},{2,5,6,8},{4},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,3,7},{2,6},{4,5},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,5,8},{2,4,7},{3},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,6,8},{2,4},{3},{5,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,4,8},{2,6},{3},{5,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1},{2,7},{3,4,5},{6,8}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1,6},{2,7},{3,4,5},{8}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,4,8},{2,6},{3,5,7}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,6,8},{2,4},{3,5,7}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,3,8},{2,5,7},{4,6}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,5},{2,7},{3,4,6},{8}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1},{2,4,8},{3,5,6},{7}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1,6},{2,4,5},{3,7},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1},{2,5,7},{3,8},{4},{6}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => [3,3,2] => 2
{{1},{2,7},{3,5,6},{4,8}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,5,8},{3,6,7},{4}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1,4,7},{2,5,6},{3},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1},{2,6,8},{3,4,7},{5}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1,5,7},{2,3,6},{4},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3},{2,6},{4,5,8},{7}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,4,6},{2,3,8},{5},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,4},{2,3,8},{5,6},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,2,6},{3,8},{4},{5,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1},{2,6},{3,8},{4},{5,7}} => [1,2,2,1,2] => [[4,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1},{2,5,6,7},{3,4,8}} => [1,4,3] => [[6,4,1],[3]] => [3] => 1
{{1,7},{2,8},{3},{4},{5,6}} => [2,2,1,1,2] => [[4,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 3
{{1,5,6,7},{2,3,8},{4}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,5,7},{2,3,4,8},{6}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1},{2,3,5},{4,8},{6,7}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1,2,3,5},{4,8},{6,7}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,3,5},{2},{4,8},{6,7}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,5,6,7},{2},{3,4,8}} => [4,1,3] => [[6,4,4],[3,3]] => [3,3] => 2
{{1,6},{2},{3,8},{4},{5,7}} => [2,1,2,1,2] => [[4,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1},{2},{3,5},{4,8},{6,7}} => [1,1,2,2,2] => [[4,3,2,1,1],[2,1]] => [2,1] => 1
{{1,2,5},{3},{4,8},{6,7}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,5},{2},{3},{4,8},{6,7}} => [2,1,1,2,2] => [[4,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 1
{{1},{2,5},{3},{4,8},{6,7}} => [1,2,1,2,2] => [[4,3,2,2,1],[2,1,1]] => [2,1,1] => 1
{{1,2,4,6},{3,8},{5,7}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,5,6},{3,8},{4,7}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,3,4,8},{2,5,6,7}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,5,8},{2,4},{3,7},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4},{2,7},{3,5,8},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1},{2,7},{3,8},{4,5,6}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1,5},{2,4,6},{3,7},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,6},{2,3,5},{4,7},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,4,6},{2,7},{3},{5,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1},{2,5},{3,8},{4,6,7}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1},{2,3,7},{4,8},{5},{6}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => [3,3,2] => 2
{{1,4,7},{2,3},{5},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1},{2,4},{3,7,8},{5},{6}} => [1,2,3,1,1] => [[4,4,4,2,1],[3,3,1]] => [3,3,1] => 2
{{1},{2,5,7},{3,4,8},{6}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1,5,6},{2,4},{3,7},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1},{2,4},{3,5},{6,7},{8}} => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 1
{{1},{2,4,8},{3,5},{6},{7}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => [3,3,2] => 2
{{1},{2,4,6},{3,5},{7,8}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,5},{3,6},{4},{7,8}} => [1,2,2,1,2] => [[4,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1},{2,5,7},{3,6,8},{4}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1},{2,5,7},{3,8},{4,6}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1,8},{2,4},{3,5,7},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,6,7},{2,4},{3,5},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1},{2,5},{3,6},{4,7},{8}} => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 1
{{1},{2,5},{3,6,8},{4,7}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,3,6,7},{4,8},{5}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1,3,5,8},{2},{4,7},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,5,6},{2},{3,7,8},{4}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,4,7},{2},{3,5,8},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,4},{2,6,8},{3,7},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,5},{2,3,7,8},{4},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1},{2,3,6,8},{4},{5,7}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => [3,3] => 2
{{1,2},{3},{4,6},{5,7,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1},{2,5,6,8},{3},{4,7}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => [3,3] => 2
{{1},{2,4,5,7},{3,8},{6}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1},{2,6},{3,7,8},{4,5}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,6,7},{3,5},{4,8}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2},{3,6,8},{4,5,7}} => [1,1,3,3] => [[5,3,1,1],[2]] => [2] => 1
{{1},{2,3},{4,7},{5,6,8}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1,7,8},{2,4},{3,5},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,6,8},{2},{3},{5,7}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1},{2,4,6},{3,7,8},{5}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1,3},{2},{4,6},{5,7,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1},{2,4,6,7},{3},{5,8}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => [3,3] => 2
{{1},{2,5},{3,7,8},{4,6}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1,4,7},{2},{3,6,8},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,3},{2,4,5},{6,8},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3},{2,8},{4,6,7},{5}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,3},{2,4,5},{6,7},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,4},{2,7,8},{3},{5,6}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,4},{2,3,7,8},{5},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,3,8},{2,4},{5},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,6,8},{2},{3},{4,5,7}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,5},{2,3,7},{4,6},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,4},{2,3,6,7},{5},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,4,6},{2,3,7},{5},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,6},{2,4,5,7},{3},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,7},{2,4,5},{3,6},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,5,6,7},{2},{3},{4,8}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,5,7},{2,6},{3,4},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1},{2,6,7},{3,5,8},{4}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1,3},{2},{4,6,7},{5,8}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,6},{2,5,8},{3,4,7}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,3,6,7},{2,4,5,8}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1},{2,8},{3,5,6},{4,7}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,5,6,7},{3},{4,8}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => [3,3] => 2
{{1,6},{2,7,8},{3,4},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,7},{2},{3,8},{4,5,6}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,7},{2,4,5},{3,6,8}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1},{2,6,8},{3,7},{4,5}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,4,5,8},{3,7},{6}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1},{2,4,5},{3,7,8},{6}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1},{2,6},{3,8},{4,5,7}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1,4,5,6},{2},{3,8},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,3,5,6},{2},{4,8},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1},{2,4,6,7},{3,8},{5}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1,5},{2,7,8},{3,4},{6}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3,5},{2},{4,7,8},{6}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,3},{2,5},{4,7,8},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,7},{2,6},{3},{4,5,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,3},{2,7,8},{4,6},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,4,5},{2,8},{3,7},{6}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,3,6},{2,4},{5},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3,6},{2},{4,5,8},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,2},{3,5},{4,7,8},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1},{2,3,4,7},{5,8},{6}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1,4,8},{2,5,7},{3},{6}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1},{2,3,4,6},{5,8},{7}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1},{2,4,5,8},{3,6},{7}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1},{2,4},{3,6},{5,8},{7}} => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 1
{{1,3},{2},{4,6},{5,8},{7}} => [2,1,2,2,1] => [[4,4,3,2,2],[3,2,1,1]] => [3,2,1,1] => 1
{{1,3},{2,5},{4},{6,8},{7}} => [2,2,1,2,1] => [[4,4,3,3,2],[3,2,2,1]] => [3,2,2,1] => 1
{{1},{2,4,5,6},{3,8},{7}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1},{2,6},{3,5},{4,8},{7}} => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 1
{{1,5},{2,4},{3,7},{6},{8}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,5},{2,4,6,7},{3},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1},{2,8},{3,5},{4,7},{6}} => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 1
{{1,7},{2,4},{3,6},{5},{8}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1},{2,5,7,8},{3,6},{4}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1,5,6},{2,4,7},{3},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3},{2,5,6,7},{4},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,3},{2,6,7,8},{4},{5}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1},{2,4},{3,8},{5,7},{6}} => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 1
{{1,3},{2,7},{4,6},{5},{8}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1},{2,4,7},{3,6,8},{5}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1,4,7},{2,3,5},{6},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,4,7},{2,3,6},{5},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,5},{2,3,6,7},{4},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,4},{2,3,7},{5,6},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1},{2,5,8},{3,4,6},{7}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1},{2,5,7},{3,4,6},{8}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1},{2,3,6},{4,5,7},{8}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1,6},{2,3},{4,5,7},{8}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,3,6},{2},{4,5,7},{8}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,4},{2,3,5},{6,7},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,6},{2,5,7},{3,4},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,4},{2,3,5},{6,8},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1},{2,3,6},{4,5,8},{7}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1},{2,5,8},{3,4,7},{6}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1},{2,3,7},{4,6,8},{5}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1},{2,3,7},{4,5,8},{6}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1,4,8},{2},{3,5},{6,7}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,6,8},{2},{3,5},{4,7}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,4},{2,3,5,8},{6},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,2,6,8},{3},{4},{5,7}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,2},{3,6,8},{4},{5,7}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,2},{3},{4},{5},{6},{7},{8},{9}} => [2,1,1,1,1,1,1,1] => [[2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1] => 7
{{1,3},{2},{4},{5},{6},{7},{8},{9}} => [2,1,1,1,1,1,1,1] => [[2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1] => 7
{{1,4},{2},{3},{5},{6},{7},{8},{9}} => [2,1,1,1,1,1,1,1] => [[2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1] => 7
{{1,5},{2},{3},{4},{6},{7},{8},{9}} => [2,1,1,1,1,1,1,1] => [[2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1] => 7
{{1,6},{2},{3},{4},{5},{7},{8},{9}} => [2,1,1,1,1,1,1,1] => [[2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1] => 7
{{1,7},{2},{3},{4},{5},{6},{8},{9}} => [2,1,1,1,1,1,1,1] => [[2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1] => 7
{{1,8},{2},{3},{4},{5},{6},{7},{9}} => [2,1,1,1,1,1,1,1] => [[2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1] => 7
{{1,2},{3},{4},{5},{6},{7},{8},{9},{10}} => [2,1,1,1,1,1,1,1,1] => [[2,2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1,1] => 8
{{1,2,3},{4},{5},{6},{7},{8},{9}} => [3,1,1,1,1,1,1] => [[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => [2,2,2,2,2,2] => 6
{{1,3},{2},{4},{5},{6},{7},{8},{9},{10}} => [2,1,1,1,1,1,1,1,1] => [[2,2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1,1] => 8
{{1,3,4},{2},{5},{6},{7},{8},{9}} => [3,1,1,1,1,1,1] => [[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => [2,2,2,2,2,2] => 6
{{1,4},{2},{3},{5},{6},{7},{8},{9},{10}} => [2,1,1,1,1,1,1,1,1] => [[2,2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1,1] => 8
{{1,4,5},{2},{3},{6},{7},{8},{9}} => [3,1,1,1,1,1,1] => [[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => [2,2,2,2,2,2] => 6
{{1,5},{2},{3},{4},{6},{7},{8},{9},{10}} => [2,1,1,1,1,1,1,1,1] => [[2,2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1,1] => 8
{{1,5,6},{2},{3},{4},{7},{8},{9}} => [3,1,1,1,1,1,1] => [[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => [2,2,2,2,2,2] => 6
{{1,6},{2},{3},{4},{5},{7},{8},{9},{10}} => [2,1,1,1,1,1,1,1,1] => [[2,2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1,1] => 8
{{1,6,7},{2},{3},{4},{5},{8},{9}} => [3,1,1,1,1,1,1] => [[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => [2,2,2,2,2,2] => 6
{{1,7},{2},{3},{4},{5},{6},{8},{9},{10}} => [2,1,1,1,1,1,1,1,1] => [[2,2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1,1] => 8
{{1,7,8},{2},{3},{4},{5},{6},{9}} => [3,1,1,1,1,1,1] => [[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => [2,2,2,2,2,2] => 6
{{1,8},{2},{3},{4},{5},{6},{7},{9},{10}} => [2,1,1,1,1,1,1,1,1] => [[2,2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1,1] => 8
{{1,8,9},{2},{3},{4},{5},{6},{7}} => [3,1,1,1,1,1,1] => [[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => [2,2,2,2,2,2] => 6
{{1,9},{2},{3},{4},{5},{6},{7},{8},{10}} => [2,1,1,1,1,1,1,1,1] => [[2,2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1,1] => 8
{{1,8},{2},{3,6},{4,5,7}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,8},{2},{3,5,6},{4,7}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,5,8},{2},{3,4,6},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,3},{2,4,8},{5},{6,7}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,5},{2,6},{3,4,7},{8}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,4,5},{2,3,6},{7},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,5},{2,4},{3,6,7},{8}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,5},{2,3,6},{4,7},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,5},{2,3,4,6},{7},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,5,7},{2,3},{4,6},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4},{2,5,7},{3,6},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,2,5},{3,7},{4,6},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,4},{3,8},{5,6},{7}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,2,3,4,5,6,7},{8},{9}} => [7,1,1] => [[7,7,7],[6,6]] => [6,6] => 2
{{1,2,3},{4,7},{5},{6,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,5},{3},{4,6,7},{8}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,2,7},{3},{4,8},{5,6}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,2,5},{3,8},{4},{6,7}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,4},{2,5,7,8},{3},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,2,6},{3},{4,5,7},{8}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,2,5,6},{3},{4,7},{8}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,3},{2},{4,7},{5,6,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1},{2,3,7},{4},{5,6,8}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,3,6},{4},{5,7,8}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,3},{4,6,7},{5,8}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1},{2,3},{4,6},{5,7,8}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1,4},{2,6},{3,7,8},{5}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1},{2,3,5,6},{4,8},{7}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1},{2,3,5},{4,7,8},{6}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1,4,7},{2},{3,6},{5,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1},{2,4,8},{3,6,7},{5}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1},{2,3,6},{4,7,8},{5}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1,4,5,7},{2,3,6,8}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,5},{2,3,7},{4,6,8}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,5},{2,3,6,8},{4,7}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1},{2,5},{3,4,7},{6,8}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1,5},{2,6,8},{3,4,7}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,5,7},{2,6},{3,4,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,6},{2,5,7},{3,4,8}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,5,7},{2,3,6},{4,8}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,5,7},{2,3,8},{4,6}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1},{2,7},{3,6},{4,5,8}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1,7},{2,4,5,8},{3,6}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,7},{2,5,8},{3,4,6}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,6},{2,5},{3,4,7},{8}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,6},{2,4,5,8},{3,7}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,4,5},{2,7},{3,6},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1},{2,4,5,7},{3,6},{8}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1,4,5,7},{2,8},{3,6}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,4,5},{2,7},{3,6,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1},{2,7},{3,6,8},{4,5}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1,6},{2,4,5,7},{3,8}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,5,7},{2,8},{3,4,6}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,3,6},{2,7},{4,5},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1},{2,6,8},{3},{4,7},{5}} => [1,3,1,2,1] => [[4,4,3,3,1],[3,2,2]] => [3,2,2] => 1
{{1,3},{2},{4,7},{5},{6,8}} => [2,1,2,1,2] => [[4,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1,3,4,7},{2},{5},{6,8}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,4},{2},{3,5},{6,8},{7}} => [2,1,2,2,1] => [[4,4,3,2,2],[3,2,1,1]] => [3,2,1,1] => 1
{{1,5,7},{2},{3,6},{4},{8}} => [3,1,2,1,1] => [[4,4,4,3,3],[3,3,2,2]] => [3,3,2,2] => 2
{{1},{2,7},{3,5},{4},{6,8}} => [1,2,2,1,2] => [[4,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1,6},{2,4},{3},{5,7},{8}} => [2,2,1,2,1] => [[4,4,3,3,2],[3,2,2,1]] => [3,2,2,1] => 1
{{1},{2,8},{3,6},{4},{5,7}} => [1,2,2,1,2] => [[4,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1,7},{2,5},{3},{4,6},{8}} => [2,2,1,2,1] => [[4,4,3,3,2],[3,2,2,1]] => [3,2,2,1] => 1
{{1,6},{2,3,5,7},{4},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,4,5,8},{2},{3,6},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,3,4,6},{2},{5,8},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1},{2,6},{3},{4,8},{5,7}} => [1,2,1,2,2] => [[4,3,2,2,1],[2,1,1]] => [2,1,1] => 1
{{1,5},{2},{3,7},{4,6},{8}} => [2,1,2,2,1] => [[4,4,3,2,2],[3,2,1,1]] => [3,2,1,1] => 1
{{1},{2,6},{3,5,8},{4,7}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1,5},{2,4,7},{3,6},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,4},{2,3,5,7},{6},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1},{2,5,6,8},{3,7},{4}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1},{2,7},{3,5},{4,6,8}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1,5},{2,3,7},{4},{6},{8}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => [3,3,3,1] => 3
{{1,5},{2,3,8},{4},{6},{7}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => [3,3,3,1] => 3
{{1,5,8},{2,3,6},{4},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,6},{2,3,8},{4},{5},{7}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => [3,3,3,1] => 3
{{1,6},{2,4,8},{3},{5},{7}} => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => [3,3,3,1] => 3
{{1,6,8},{2,3,7},{4},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,6},{2,3},{4,7},{5},{8}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,6},{2,3},{4,7,8},{5}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,7},{2,3},{4,8},{5},{6}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,7},{2,4},{3,8},{5},{6}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1,5},{2},{3,4,7},{6,8}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1},{2,4},{3,5,7},{6,8}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1,7},{2,5},{3},{4,8},{6}} => [2,2,1,2,1] => [[4,4,3,3,2],[3,2,2,1]] => [3,2,2,1] => 1
{{1,5,8},{2,4,6},{3},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,4,8},{2,3,5},{6},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1},{2,4},{3,5,7},{6},{8}} => [1,2,3,1,1] => [[4,4,4,2,1],[3,3,1]] => [3,3,1] => 2
{{1},{2,4},{3,5,8},{6},{7}} => [1,2,3,1,1] => [[4,4,4,2,1],[3,3,1]] => [3,3,1] => 2
{{1},{2,4,7},{3,5,6},{8}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1,7},{2,3,5},{4},{6,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1},{2,4,5},{3,8},{6,7}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,3,8},{4,6},{5,7}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,4,5,7},{3},{6,8}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => [3,3] => 2
{{1,3,7},{2},{4,5},{6,8}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1},{2,4,7},{3,5,8},{6}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1},{2},{3,5,8},{4,6,7}} => [1,1,3,3] => [[5,3,1,1],[2]] => [2] => 1
{{1},{2,5,7},{3,6},{4,8}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1,5,7,8},{2},{3},{4,6}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1},{2,5,7,8},{3},{4,6}} => [1,4,1,2] => [[5,4,4,1],[3,3]] => [3,3] => 2
{{1,3,4,5,6,7,8,9},{2}} => [8,1] => [[8,8],[7]] => [7] => 1
{{1,4,5,6,7,8,9},{2},{3}} => [7,1,1] => [[7,7,7],[6,6]] => [6,6] => 2
{{1,3,4,5,6,7,8,9,10},{2}} => [9,1] => [[9,9],[8]] => [8] => 1
{{1,5,6,7},{2},{3,8},{4}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,7,8},{2},{3,5},{4,6}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,5,6,8},{2},{3},{4,7}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,3,4,5,6,7,8},{2},{9}} => [7,1,1] => [[7,7,7],[6,6]] => [6,6] => 2
{{1},{2,3,5},{4,6,8},{7}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1,3},{2,5,6},{4},{7,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,4},{2,5},{3,7,8},{6}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,6},{2},{3,7},{4,5,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,7},{2},{3,5},{4,6,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,3},{2,5,7,8},{4},{6}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,7},{2},{3,5,8},{4,6}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,6},{2},{3,5,7},{4,8}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,8},{2},{3,5,7},{4,6}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,4,6},{2,3,5},{7},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,5,8},{2},{3},{4,6,7}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,5,6},{2},{3,4,7},{8}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,3,6},{2,4,5},{7},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,4,7},{2,3,5,6},{8}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,4,6},{2,3,7,8},{5}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,4,5,8},{2,7},{3,6}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1},{2,4,6,8},{3,5,7}} => [1,4,3] => [[6,4,1],[3]] => [3] => 1
{{1,4,7},{2,6},{3,5,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,5},{2,4,7},{3,6,8}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,3,5,7},{2},{4,6,8}} => [4,1,3] => [[6,4,4],[3,3]] => [3,3] => 2
{{1,5,6,8},{2,4,7},{3}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,3,5},{2,4,6,8},{7}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,3,7},{2,4,6,8},{5}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1},{2,3,7},{4,5},{6,8}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1,3},{2},{4,5,7},{6,8}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,2},{3},{4,5,7},{6,8}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1},{2},{3,4,6},{5,7,8}} => [1,1,3,3] => [[5,3,1,1],[2]] => [2] => 1
{{1},{2},{3,4,7},{5,6,8}} => [1,1,3,3] => [[5,3,1,1],[2]] => [2] => 1
{{1,2},{3},{4,6,8},{5,7}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,2},{3},{4,6,7},{5,8}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,3},{2,4},{5},{6,7,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,4},{2,5},{3},{6,7,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,3},{2,5},{4},{6,7,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,7},{2,8},{3},{4,5,6}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1,4},{2,8},{3},{5,6,7}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1},{2,6,7},{3},{4,5,8}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => [2,2] => 2
{{1,4,8},{2,5,6},{3},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3},{2,4,5,8},{6},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,2,4,6},{3},{5,7},{8}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,3,4,6},{2},{5,7},{8}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,2,6},{3,7},{4,5},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,6,8},{2,7},{3,4},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,6,7},{2,4},{3,8},{5}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4},{2},{3,5},{6,7,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,6},{2,7},{3},{4,5,8}} => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 2
{{1},{2,3,4,6},{5,7},{8}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1},{2,7,8},{3,5},{4,6}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1,5,6},{2,7},{3,4},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,6},{2,7,8},{3},{4,5}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,8},{2},{3,5},{4,6,7}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,6},{2},{3,5,8},{4,7}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1},{2,6,8},{3},{4,5,7}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,6,7},{3,8},{4,5}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1},{2,5,6},{3,8},{4,7}} => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 1
{{1,3,8},{2,6,7},{4},{5}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,2,7},{3,6},{4},{5,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,8},{3},{4,6},{5,7}} => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 1
{{1,7},{2,3,5},{4,6},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3},{2,5,6},{4,7},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3},{2,7},{4,5,6},{8}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1},{2,5,8},{3},{4,6,7}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => [2,2] => 2
{{1,4},{2,6,7},{3,5},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,4},{2,7,8},{3,6},{5}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1},{2,4,5},{3,6,7},{8}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1},{2,4,5},{3,6,8},{7}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1},{2,5,6},{3,7,8},{4}} => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 1
{{1},{2,4},{3,5,6},{7,8}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1,4,6},{2,3,8},{5,7}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,3},{2,6},{4,5,7},{8}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,3,6},{2,7},{4,5,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,2,4,6},{3},{5,7,8}} => [4,1,3] => [[6,4,4],[3,3]] => [3,3] => 2
{{1,5,6},{2,4,7},{3,8}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1},{2,3,5,8},{4,7},{6}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1,2,3,4,5,6,7,9},{8}} => [8,1] => [[8,8],[7]] => [7] => 1
{{1,2,3,4,5,6,7,8,10},{9}} => [9,1] => [[9,9],[8]] => [8] => 1
{{1,3,4,5,6,7,9},{2},{8}} => [7,1,1] => [[7,7,7],[6,6]] => [6,6] => 2
{{1,5,7,8},{2,3,4,6}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,3,6,8},{2,4,5,7}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,2,6,8},{3,4,5,7}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,2,6},{3,4,5,8},{7}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,4,8},{2,3,5,6},{7}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,5},{2,3,4,8},{6,7}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,4,8},{2,3,5},{6,7}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,4,6,7},{2,3,8},{5}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,3,8},{2,4,6,7},{5}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,3,5},{2,8},{4,6,7}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,4,7,8},{2,3,6},{5}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,6},{2,3,5},{4,7,8}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,2,6},{3,5},{4,7,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,2,5},{3,6},{4,7,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,5},{2,3,6},{4,7,8}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,4,7,8},{2,6},{3,5}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,7,8},{2,3,5},{4,6}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,7,8},{2,5},{3,4,6}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,7,8},{2,4,6},{3,5}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,2,3,5,6,7,8,9,10},{4}} => [9,1] => [[9,9],[8]] => [8] => 1
{{1,2,3,4,6,7,8,9,10},{5}} => [9,1] => [[9,9],[8]] => [8] => 1
{{1,4,8},{2,3,5,7},{6}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1},{2},{3},{4,6},{5,8},{7}} => [1,1,1,2,2,1] => [[3,3,2,1,1,1],[2,1]] => [2,1] => 1
{{1},{2},{3,5},{4,8},{6},{7}} => [1,1,2,2,1,1] => [[3,3,3,2,1,1],[2,2,1]] => [2,2,1] => 2
{{1},{2,4},{3,8},{5},{6},{7}} => [1,2,2,1,1,1] => [[3,3,3,3,2,1],[2,2,2,1]] => [2,2,2,1] => 3
{{1},{2},{3},{4,7},{5,8},{6}} => [1,1,1,2,2,1] => [[3,3,2,1,1,1],[2,1]] => [2,1] => 1
{{1},{2},{3,6},{4,8},{5},{7}} => [1,1,2,2,1,1] => [[3,3,3,2,1,1],[2,2,1]] => [2,2,1] => 2
{{1},{2},{3},{4,6,7},{5,8}} => [1,1,1,3,2] => [[4,3,1,1,1],[2]] => [2] => 1
{{1},{2,5},{3,8},{4},{6},{7}} => [1,2,2,1,1,1] => [[3,3,3,3,2,1],[2,2,2,1]] => [2,2,2,1] => 3
{{1},{2},{3,5,6},{4,8},{7}} => [1,1,3,2,1] => [[4,4,3,1,1],[3,2]] => [3,2] => 1
{{1},{2,4,5},{3,8},{6},{7}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => [3,3,2] => 2
{{1,2,5,7},{3},{4,6,8}} => [4,1,3] => [[6,4,4],[3,3]] => [3,3] => 2
{{1,2,6,7},{3,4,5,8}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,6},{2,5,7,8},{3,4}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,6},{2,3,7},{4,5,8}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,3,5},{2,6},{4,7,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,3,7},{2,4,6},{5,8}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,5,7},{2,3,6,8},{4}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,3,7},{2,4,5,8},{6}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,5,8},{2,4,6},{3,7}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,2,5,8},{3,4,6,7}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1},{2,3,5,7},{4,6},{8}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1},{2,3,5,7},{4,6,8}} => [1,4,3] => [[6,4,1],[3]] => [3] => 1
{{1},{2,3,5,8},{4,6,7}} => [1,4,3] => [[6,4,1],[3]] => [3] => 1
{{1,3},{2,6,8},{4,5},{7}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,4,6,7},{2},{3},{5,8}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1,4,7,8},{2},{3,5},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1},{2,4,7,8},{3,5},{6}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1},{2,4,7,8},{3,6},{5}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1,4},{2},{3,7,8},{5,6}} => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 1
{{1,5,6,8},{2,3,7},{4}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,5,6},{2,3},{4,7,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,2,3,4,5,6,9},{7},{8}} => [7,1,1] => [[7,7,7],[6,6]] => [6,6] => 2
{{1,2,9},{3},{4},{5},{6},{7},{8}} => [3,1,1,1,1,1,1] => [[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => [2,2,2,2,2,2] => 6
{{1,7},{2,3,4},{5,6,8}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,4,5},{2,3,7,8},{6}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,4,6,8},{2,3,5,7}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,4,8},{2,3,6,7},{5}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,3,7},{2,6},{4,5,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,2,6},{3,7},{4,5,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,2},{3,4,6},{5,7,8}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,2,3},{4,7},{5,6,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,5},{2,6,7,8},{3,4}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,7},{2,6,8},{3,4,5}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,2,6},{3,5,7,8},{4}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,7,8},{2,4},{3,5,6}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,2,3,4,5,6,8,9},{7}} => [8,1] => [[8,8],[7]] => [7] => 1
{{1,2,3,4,5,7,8,9},{6}} => [8,1] => [[8,8],[7]] => [7] => 1
{{1,2,3,4,6,7,8,9},{5}} => [8,1] => [[8,8],[7]] => [7] => 1
{{1,2,3,5,6,7,8,9},{4}} => [8,1] => [[8,8],[7]] => [7] => 1
{{1,2,4,5,6,7,8,9},{3}} => [8,1] => [[8,8],[7]] => [7] => 1
{{1,2,3,4,5,6,7,9,10},{8}} => [9,1] => [[9,9],[8]] => [8] => 1
{{1,2,3,4,5,6,8,9,10},{7}} => [9,1] => [[9,9],[8]] => [8] => 1
{{1,2,3,4,5,7,8,9,10},{6}} => [9,1] => [[9,9],[8]] => [8] => 1
{{1,2,4,5,6,7,8,9,10},{3}} => [9,1] => [[9,9],[8]] => [8] => 1
{{1,3},{2,5,8},{4},{6,7}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,3,9},{2},{4},{5},{6},{7},{8}} => [3,1,1,1,1,1,1] => [[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => [2,2,2,2,2,2] => 6
{{1,3,8},{2},{4},{5},{6},{7},{9}} => [3,1,1,1,1,1,1] => [[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => [2,2,2,2,2,2] => 6
{{1,5,6},{2},{3},{4,7,8}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,3,5},{2},{4,6},{7},{8}} => [3,1,2,1,1] => [[4,4,4,3,3],[3,3,2,2]] => [3,3,2,2] => 2
{{1,3,6},{2},{4},{5,8},{7}} => [3,1,1,2,1] => [[4,4,3,3,3],[3,2,2,2]] => [3,2,2,2] => 1
{{1},{2},{3,7},{4,8},{5},{6}} => [1,1,2,2,1,1] => [[3,3,3,2,1,1],[2,2,1]] => [2,2,1] => 2
{{1,7},{2},{3},{4},{5},{6,8}} => [2,1,1,1,1,2] => [[3,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => 5
{{1,6},{2},{3},{4},{5,8},{7}} => [2,1,1,1,2,1] => [[3,3,2,2,2,2],[2,1,1,1,1]] => [2,1,1,1,1] => 1
{{1,4},{2,6},{3},{5,8},{7}} => [2,2,1,2,1] => [[4,4,3,3,2],[3,2,2,1]] => [3,2,2,1] => 1
{{1,5},{2,6},{3},{4,8},{7}} => [2,2,1,2,1] => [[4,4,3,3,2],[3,2,2,1]] => [3,2,2,1] => 1
{{1,5},{2},{3},{4,6},{7},{8}} => [2,1,1,2,1,1] => [[3,3,3,2,2,2],[2,2,1,1,1]] => [2,2,1,1,1] => 2
{{1,4},{2},{3,6},{5},{7},{8}} => [2,1,2,1,1,1] => [[3,3,3,3,2,2],[2,2,2,1,1]] => [2,2,2,1,1] => 3
{{1},{2,5},{3,6},{4},{7},{8}} => [1,2,2,1,1,1] => [[3,3,3,3,2,1],[2,2,2,1]] => [2,2,2,1] => 3
{{1,4,6},{2},{3,5,7},{8}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1,6},{2},{3},{4,7},{5},{8}} => [2,1,1,2,1,1] => [[3,3,3,2,2,2],[2,2,1,1,1]] => [2,2,1,1,1] => 2
{{1,6},{2},{3},{4,7},{5,8}} => [2,1,1,2,2] => [[4,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 1
{{1,5},{2},{3},{4,7},{6,8}} => [2,1,1,2,2] => [[4,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 1
{{1,5,7},{2},{3},{4,6},{8}} => [3,1,1,2,1] => [[4,4,3,3,3],[3,2,2,2]] => [3,2,2,2] => 1
{{1,4,7},{2},{3,6},{5},{8}} => [3,1,2,1,1] => [[4,4,4,3,3],[3,3,2,2]] => [3,3,2,2] => 2
{{1,4},{2},{3,7},{5},{6,8}} => [2,1,2,1,2] => [[4,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1,5},{2},{3,7},{4,8},{6}} => [2,1,2,2,1] => [[4,4,3,2,2],[3,2,1,1]] => [3,2,1,1] => 1
{{1,5},{2},{3,7},{4},{6},{8}} => [2,1,2,1,1,1] => [[3,3,3,3,2,2],[2,2,2,1,1]] => [2,2,2,1,1] => 3
{{1,7},{2,5},{3,6},{4},{8}} => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 2
{{1},{2,6},{3},{4,8},{5},{7}} => [1,2,1,2,1,1] => [[3,3,3,2,2,1],[2,2,1,1]] => [2,2,1,1] => 2
{{1,5},{2,3,4,8},{6},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,4,5},{2,3,8},{6},{7}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,3},{2,5},{4,6,7},{8}} => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 1
{{1,3,5},{2,7},{4,6},{8}} => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 1
{{1,4,5,8},{2,3,7},{6}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,8},{2,3,4,6},{5,7}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,7},{2,3,5,6},{4,8}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,4,7,8},{2,3,5,6}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,5,7,8},{2,4},{3,6}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,5,7,8},{2,3},{4,6}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,5,6,8},{2,3},{4,7}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,4},{2,6,7,8},{3},{5}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,3,4,7},{2},{5,8},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,4,6},{2,3,5},{7,8}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,2},{3,6,8},{4,5,7}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,6,7},{2,4,5,8},{3}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,2,7},{3,6,8},{4,5}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,3,5,8},{2,7},{4,6}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,4,5,8},{2,3,6},{7}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,7},{2,3,5},{4,6,8}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,7,9},{2},{3},{4},{5},{6},{8}} => [3,1,1,1,1,1,1] => [[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => [2,2,2,2,2,2] => 6
{{1,6,9},{2},{3},{4},{5},{7},{8}} => [3,1,1,1,1,1,1] => [[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => [2,2,2,2,2,2] => 6
{{1,5,9},{2},{3},{4},{6},{7},{8}} => [3,1,1,1,1,1,1] => [[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => [2,2,2,2,2,2] => 6
{{1,2,4},{3,5,6,7},{8}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1},{2,3,4,6},{5,7,8}} => [1,4,3] => [[6,4,1],[3]] => [3] => 1
{{1,2,7},{3},{4,6,8},{5}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1},{2,4,6},{3},{5,7,8}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => [2,2] => 2
{{1},{2,5,7},{3},{4,6,8}} => [1,3,1,3] => [[5,3,3,1],[2,2]] => [2,2] => 2
{{1,2},{3,5,7},{4,6,8}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,2,3},{4,6},{5,7,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,4,6,8},{2},{3,5,7}} => [4,1,3] => [[6,4,4],[3,3]] => [3,3] => 2
{{1},{2,7},{3,8},{4},{5},{6}} => [1,2,2,1,1,1] => [[3,3,3,3,2,1],[2,2,2,1]] => [2,2,2,1] => 3
{{1,5,6},{2},{3,8},{4},{7}} => [3,1,2,1,1] => [[4,4,4,3,3],[3,3,2,2]] => [3,3,2,2] => 2
{{1},{2},{3},{4,6,8},{5,7}} => [1,1,1,3,2] => [[4,3,1,1,1],[2]] => [2] => 1
{{1},{2},{3,5,8},{4,6},{7}} => [1,1,3,2,1] => [[4,4,3,1,1],[3,2]] => [3,2] => 1
{{1,2,8},{3},{4},{5},{6},{7},{9}} => [3,1,1,1,1,1,1] => [[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => [2,2,2,2,2,2] => 6
{{1,2,7},{3},{4},{5},{6},{8},{9}} => [3,1,1,1,1,1,1] => [[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => [2,2,2,2,2,2] => 6
{{1,4,6},{2,3},{5,7,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,3,8},{2,4,5},{6,7}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1},{2,7},{3,6},{4},{5,8}} => [1,2,2,1,2] => [[4,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1,5},{2},{3,7},{4},{6,8}} => [2,1,2,1,2] => [[4,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 2
{{1,5,6,7},{2,4},{3,8}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,5,6},{2,4,8},{3,7}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,2,7},{3,8},{4},{5,6}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,2,6,7},{3},{4,8},{5}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,5},{2,3,4,7},{6,8}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,3,4,6},{2,8},{5,7}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,3,8},{2,6},{4,5,7}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,2,4},{3,6},{5,7,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,2,7},{3,4,6,8},{5}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,3,4,8},{2,7},{5,6}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1},{2,5},{3},{4,7},{6,8}} => [1,2,1,2,2] => [[4,3,2,2,1],[2,1,1]] => [2,1,1] => 1
{{1,4,8},{2,3,7},{5,6}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,2},{3,4,7},{5,6,8}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,4,7},{2,3},{5,6,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,3,7},{2,4},{5,6,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,3,7},{2,6,8},{4,5}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,7},{2,3,5,8},{4,6}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,2,6},{3,8},{4,5,7}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,2,8},{3,4,6},{5,7}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,2},{3,5,7,8},{4,6}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,5,7,8},{2,6},{3,4}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,5,8},{2,7},{3,4,6}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,6,8},{2,3},{4,5,7}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,6,8},{2,5,7},{3,4}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,6,8},{2,4,7},{3,5}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,2,6,7},{3},{4},{5,8}} => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 3
{{1},{2,4},{3,5},{6,7,8}} => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 1
{{1,4},{2,5,6,8},{3},{7}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,5},{2,3,4,6},{7,8}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,3,4},{2,8},{5,6,7}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,3,6,7},{2,8},{4,5}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,8},{2,3,6},{4,5,7}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,2},{3,5,6},{4,7,8}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,5,6},{2,7,8},{3,4}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,4,5},{2,7,8},{3,6}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,7},{2,5,6,8},{3,4}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,2,3,7},{4},{5,8},{6}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1,3,4},{2,6},{5,7,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,4},{2,3,5,6},{7},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,3,5},{2,4},{6},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,4},{2,5,6,7},{3},{8}} => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 2
{{1,2,6},{3},{4},{5},{7},{8},{9}} => [3,1,1,1,1,1,1] => [[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => [2,2,2,2,2,2] => 6
{{1,2,5},{3},{4},{6},{7},{8},{9}} => [3,1,1,1,1,1,1] => [[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => [2,2,2,2,2,2] => 6
{{1,2,4},{3},{5},{6},{7},{8},{9}} => [3,1,1,1,1,1,1] => [[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => [2,2,2,2,2,2] => 6
{{1,4,7},{2},{3},{5,6,8}} => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => [2,2,2] => 3
{{1,6},{2,4,7,8},{3,5}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,3,4},{2,5},{6},{7,8}} => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 2
{{1,3},{2,4,5},{6},{7,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,4},{2,3,5},{6},{7,8}} => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 2
{{1,4,5},{2},{3,6,7},{8}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1},{2,4,5,6},{3,7},{8}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1,4,5},{2},{3,6,8},{7}} => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 1
{{1},{2,3,6},{4},{5,8},{7}} => [1,3,1,2,1] => [[4,4,3,3,1],[3,2,2]] => [3,2,2] => 1
{{1},{2,3,7},{4},{5,8},{6}} => [1,3,1,2,1] => [[4,4,3,3,1],[3,2,2]] => [3,2,2] => 1
{{1},{2,4},{3,7},{5},{6,8}} => [1,2,2,1,2] => [[4,3,3,2,1],[2,2,1]] => [2,2,1] => 2
{{1},{2,5},{3},{4,6,8},{7}} => [1,2,1,3,1] => [[4,4,2,2,1],[3,1,1]] => [3,1,1] => 1
{{1},{2,5},{3},{4,6,7},{8}} => [1,2,1,3,1] => [[4,4,2,2,1],[3,1,1]] => [3,1,1] => 1
{{1,5,8},{2,3,7},{4,6}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,8},{2,5,6},{3,4,7}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,2},{3,4,6,8},{5,7}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,2,3,4,5,8,9},{6},{7}} => [7,1,1] => [[7,7,7],[6,6]] => [6,6] => 2
{{1,2,3,4,6,8,9},{5},{7}} => [7,1,1] => [[7,7,7],[6,6]] => [6,6] => 2
{{1,3},{2,6,7},{4,5},{8}} => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 1
{{1,3,7},{2,4,5},{6},{8}} => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 2
{{1,4},{2,3,6,8},{5,7}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,4,5},{2,3,6},{7,8}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,4,5},{2,3,8},{6,7}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,4,7},{2,3,8},{5,6}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,3,4},{2,7},{5,6,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,3,6,8},{2,7},{4,5}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1,2,8},{3,6},{4,5,7}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,5,6},{2,4},{3,7,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,7,8},{2,4,5},{3,6}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,2},{3,6,7},{4,5,8}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,6,7},{2,3},{4,5,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,6,7},{2,5,8},{3,4}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,4,8},{2,6,7},{3,5}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,5,6},{2,8},{3,4,7}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,6,7},{2,4,5},{3,8}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,2,4},{3,6,7,8},{5}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,4,8},{2},{3,6},{5},{7}} => [3,1,2,1,1] => [[4,4,4,3,3],[3,3,2,2]] => [3,3,2,2] => 2
{{1,2,4},{3,5,6,8},{7}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,2,3,6},{4},{5,8},{7}} => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 1
{{1},{2,5},{3,4,6},{7,8}} => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 1
{{1,2},{3},{4,7},{5,6,8}} => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 1
{{1,6,7},{2,3,5,8},{4}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,3,5,8},{2,4,6,7}} => [4,4] => [[7,4],[3]] => [3] => 1
{{1,4},{2,3,6},{5,7,8}} => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 1
{{1,5,7,8},{2,3,6},{4}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,2,3,6},{4},{5,7,8}} => [4,1,3] => [[6,4,4],[3,3]] => [3,3] => 2
{{1,5,7,8},{2},{3,4,6}} => [4,1,3] => [[6,4,4],[3,3]] => [3,3] => 2
{{1,3,4,6},{2},{5,7,8}} => [4,1,3] => [[6,4,4],[3,3]] => [3,3] => 2
{{1,2,4},{3,5,7,8},{6}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1},{2,4,6},{3},{5,7},{8}} => [1,3,1,2,1] => [[4,4,3,3,1],[3,2,2]] => [3,2,2] => 1
{{1,4,6},{2,3,5,8},{7}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,6},{2,3,5,8},{4,7}} => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 1
{{1,3,5},{2,7,8},{4,6}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1,3,4},{2,5,7,8},{6}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,4,5,6},{2},{3,7,8}} => [4,1,3] => [[6,4,4],[3,3]] => [3,3] => 2
{{1},{2,3,6,8},{4,7},{5}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
{{1,3,6},{2,4},{5,7,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,4,8},{2,5,7},{3,6}} => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 1
{{1},{2,4,5,7},{3,6,8}} => [1,4,3] => [[6,4,1],[3]] => [3] => 1
{{1,2,6,8},{3},{4,5,7}} => [4,1,3] => [[6,4,4],[3,3]] => [3,3] => 2
{{1,4,6,8},{2,3,5},{7}} => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 1
{{1,3,6},{2,4,5,7},{8}} => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 1
{{1,4,7},{2,5},{3,6,8}} => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 1
{{1,2,5,7},{3,8},{4,6}} => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 1
{{1},{2,3,6},{4,7},{5},{8}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => [3,3,2] => 2
{{1},{2,4,7},{3,8},{5},{6}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => [3,3,2] => 2
{{1},{2,5,7},{3},{4,8},{6}} => [1,3,1,2,1] => [[4,4,3,3,1],[3,2,2]] => [3,2,2] => 1
{{1},{2,4,7},{3,5},{6},{8}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => [3,3,2] => 2
{{1},{2,5,8},{3,6},{4},{7}} => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => [3,3,2] => 2
{{1},{2,4,6,7},{3,5},{8}} => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 1
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Description
The multiplicity of the largest part of an integer partition.
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to ribbon
Description
The ribbon shape corresponding to an integer composition.
For an integer composition $(a_1, \dots, a_n)$, this is the ribbon shape whose $i$th row from the bottom has $a_i$ cells.
For an integer composition $(a_1, \dots, a_n)$, this is the ribbon shape whose $i$th row from the bottom has $a_i$ cells.
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to composition
Description
The integer composition of block sizes of a set partition.
For a set partition of $\{1,2,\dots,n\}$, this is the integer composition of $n$ obtained by sorting the blocks by their minimal element and then taking the block sizes.
For a set partition of $\{1,2,\dots,n\}$, this is the integer composition of $n$ obtained by sorting the blocks by their minimal element and then taking the block sizes.
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inner shape
Description
The inner shape of a skew partition.
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