Identifier
-
Mp00079:
Set partitions
—shape⟶
Integer partitions
Mp00042: Integer partitions —initial tableau⟶ Standard tableaux
Mp00081: Standard tableaux —reading word permutation⟶ Permutations
St000246: Permutations ⟶ ℤ (values match St001583The projective dimension of the simple module corresponding to the point in the poset of the symmetric group under bruhat order.)
Values
{{1}} => [1] => [[1]] => [1] => 0
{{1,2}} => [2] => [[1,2]] => [1,2] => 1
{{1},{2}} => [1,1] => [[1],[2]] => [2,1] => 0
{{1,2,3}} => [3] => [[1,2,3]] => [1,2,3] => 3
{{1,2},{3}} => [2,1] => [[1,2],[3]] => [3,1,2] => 1
{{1,3},{2}} => [2,1] => [[1,2],[3]] => [3,1,2] => 1
{{1},{2,3}} => [2,1] => [[1,2],[3]] => [3,1,2] => 1
{{1},{2},{3}} => [1,1,1] => [[1],[2],[3]] => [3,2,1] => 0
{{1,2,3,4}} => [4] => [[1,2,3,4]] => [1,2,3,4] => 6
{{1,2,3},{4}} => [3,1] => [[1,2,3],[4]] => [4,1,2,3] => 3
{{1,2,4},{3}} => [3,1] => [[1,2,3],[4]] => [4,1,2,3] => 3
{{1,2},{3,4}} => [2,2] => [[1,2],[3,4]] => [3,4,1,2] => 2
{{1,2},{3},{4}} => [2,1,1] => [[1,2],[3],[4]] => [4,3,1,2] => 1
{{1,3,4},{2}} => [3,1] => [[1,2,3],[4]] => [4,1,2,3] => 3
{{1,3},{2,4}} => [2,2] => [[1,2],[3,4]] => [3,4,1,2] => 2
{{1,3},{2},{4}} => [2,1,1] => [[1,2],[3],[4]] => [4,3,1,2] => 1
{{1,4},{2,3}} => [2,2] => [[1,2],[3,4]] => [3,4,1,2] => 2
{{1},{2,3,4}} => [3,1] => [[1,2,3],[4]] => [4,1,2,3] => 3
{{1},{2,3},{4}} => [2,1,1] => [[1,2],[3],[4]] => [4,3,1,2] => 1
{{1,4},{2},{3}} => [2,1,1] => [[1,2],[3],[4]] => [4,3,1,2] => 1
{{1},{2,4},{3}} => [2,1,1] => [[1,2],[3],[4]] => [4,3,1,2] => 1
{{1},{2},{3,4}} => [2,1,1] => [[1,2],[3],[4]] => [4,3,1,2] => 1
{{1},{2},{3},{4}} => [1,1,1,1] => [[1],[2],[3],[4]] => [4,3,2,1] => 0
{{1,2,3,4,5}} => [5] => [[1,2,3,4,5]] => [1,2,3,4,5] => 10
{{1,2,3,4},{5}} => [4,1] => [[1,2,3,4],[5]] => [5,1,2,3,4] => 6
{{1,2,3,5},{4}} => [4,1] => [[1,2,3,4],[5]] => [5,1,2,3,4] => 6
{{1,2,3},{4,5}} => [3,2] => [[1,2,3],[4,5]] => [4,5,1,2,3] => 4
{{1,2,3},{4},{5}} => [3,1,1] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 3
{{1,2,4,5},{3}} => [4,1] => [[1,2,3,4],[5]] => [5,1,2,3,4] => 6
{{1,2,4},{3,5}} => [3,2] => [[1,2,3],[4,5]] => [4,5,1,2,3] => 4
{{1,2,4},{3},{5}} => [3,1,1] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 3
{{1,2,5},{3,4}} => [3,2] => [[1,2,3],[4,5]] => [4,5,1,2,3] => 4
{{1,2},{3,4,5}} => [3,2] => [[1,2,3],[4,5]] => [4,5,1,2,3] => 4
{{1,2},{3,4},{5}} => [2,2,1] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 2
{{1,2,5},{3},{4}} => [3,1,1] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 3
{{1,2},{3,5},{4}} => [2,2,1] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 2
{{1,2},{3},{4,5}} => [2,2,1] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 2
{{1,2},{3},{4},{5}} => [2,1,1,1] => [[1,2],[3],[4],[5]] => [5,4,3,1,2] => 1
{{1,3,4,5},{2}} => [4,1] => [[1,2,3,4],[5]] => [5,1,2,3,4] => 6
{{1,3,4},{2,5}} => [3,2] => [[1,2,3],[4,5]] => [4,5,1,2,3] => 4
{{1,3,4},{2},{5}} => [3,1,1] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 3
{{1,3,5},{2,4}} => [3,2] => [[1,2,3],[4,5]] => [4,5,1,2,3] => 4
{{1,3},{2,4,5}} => [3,2] => [[1,2,3],[4,5]] => [4,5,1,2,3] => 4
{{1,3},{2,4},{5}} => [2,2,1] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 2
{{1,3,5},{2},{4}} => [3,1,1] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 3
{{1,3},{2,5},{4}} => [2,2,1] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 2
{{1,3},{2},{4,5}} => [2,2,1] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 2
{{1,3},{2},{4},{5}} => [2,1,1,1] => [[1,2],[3],[4],[5]] => [5,4,3,1,2] => 1
{{1,4,5},{2,3}} => [3,2] => [[1,2,3],[4,5]] => [4,5,1,2,3] => 4
{{1,4},{2,3,5}} => [3,2] => [[1,2,3],[4,5]] => [4,5,1,2,3] => 4
{{1,4},{2,3},{5}} => [2,2,1] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 2
{{1,5},{2,3,4}} => [3,2] => [[1,2,3],[4,5]] => [4,5,1,2,3] => 4
{{1},{2,3,4,5}} => [4,1] => [[1,2,3,4],[5]] => [5,1,2,3,4] => 6
{{1},{2,3,4},{5}} => [3,1,1] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 3
{{1,5},{2,3},{4}} => [2,2,1] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 2
{{1},{2,3,5},{4}} => [3,1,1] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 3
{{1},{2,3},{4,5}} => [2,2,1] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 2
{{1},{2,3},{4},{5}} => [2,1,1,1] => [[1,2],[3],[4],[5]] => [5,4,3,1,2] => 1
{{1,4,5},{2},{3}} => [3,1,1] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 3
{{1,4},{2,5},{3}} => [2,2,1] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 2
{{1,4},{2},{3,5}} => [2,2,1] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 2
{{1,4},{2},{3},{5}} => [2,1,1,1] => [[1,2],[3],[4],[5]] => [5,4,3,1,2] => 1
{{1,5},{2,4},{3}} => [2,2,1] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 2
{{1},{2,4,5},{3}} => [3,1,1] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 3
{{1},{2,4},{3,5}} => [2,2,1] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 2
{{1},{2,4},{3},{5}} => [2,1,1,1] => [[1,2],[3],[4],[5]] => [5,4,3,1,2] => 1
{{1,5},{2},{3,4}} => [2,2,1] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 2
{{1},{2,5},{3,4}} => [2,2,1] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 2
{{1},{2},{3,4,5}} => [3,1,1] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 3
{{1},{2},{3,4},{5}} => [2,1,1,1] => [[1,2],[3],[4],[5]] => [5,4,3,1,2] => 1
{{1,5},{2},{3},{4}} => [2,1,1,1] => [[1,2],[3],[4],[5]] => [5,4,3,1,2] => 1
{{1},{2,5},{3},{4}} => [2,1,1,1] => [[1,2],[3],[4],[5]] => [5,4,3,1,2] => 1
{{1},{2},{3,5},{4}} => [2,1,1,1] => [[1,2],[3],[4],[5]] => [5,4,3,1,2] => 1
{{1},{2},{3},{4,5}} => [2,1,1,1] => [[1,2],[3],[4],[5]] => [5,4,3,1,2] => 1
{{1},{2},{3},{4},{5}} => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => [5,4,3,2,1] => 0
{{1,2,3,4,5,6}} => [6] => [[1,2,3,4,5,6]] => [1,2,3,4,5,6] => 15
{{1,2,3,4,5},{6}} => [5,1] => [[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => 10
{{1,2,3,4,6},{5}} => [5,1] => [[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => 10
{{1,2,3,4},{5,6}} => [4,2] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 7
{{1,2,3,4},{5},{6}} => [4,1,1] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 6
{{1,2,3,5,6},{4}} => [5,1] => [[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => 10
{{1,2,3,5},{4,6}} => [4,2] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 7
{{1,2,3,5},{4},{6}} => [4,1,1] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 6
{{1,2,3,6},{4,5}} => [4,2] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 7
{{1,2,3},{4,5,6}} => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 6
{{1,2,3},{4,5},{6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,2,3,6},{4},{5}} => [4,1,1] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 6
{{1,2,3},{4,6},{5}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,2,3},{4},{5,6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,2,3},{4},{5},{6}} => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 3
{{1,2,4,5,6},{3}} => [5,1] => [[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => 10
{{1,2,4,5},{3,6}} => [4,2] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 7
{{1,2,4,5},{3},{6}} => [4,1,1] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 6
{{1,2,4,6},{3,5}} => [4,2] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 7
{{1,2,4},{3,5,6}} => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 6
{{1,2,4},{3,5},{6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,2,4,6},{3},{5}} => [4,1,1] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 6
{{1,2,4},{3,6},{5}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,2,4},{3},{5,6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,2,4},{3},{5},{6}} => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 3
{{1,2,5,6},{3,4}} => [4,2] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 7
>>> Load all 3756 entries. <<<{{1,2,5},{3,4,6}} => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 6
{{1,2,5},{3,4},{6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,2,6},{3,4,5}} => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 6
{{1,2},{3,4,5,6}} => [4,2] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 7
{{1,2},{3,4,5},{6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,2,6},{3,4},{5}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,2},{3,4,6},{5}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,2},{3,4},{5,6}} => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
{{1,2},{3,4},{5},{6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,2,5,6},{3},{4}} => [4,1,1] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 6
{{1,2,5},{3,6},{4}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,2,5},{3},{4,6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,2,5},{3},{4},{6}} => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 3
{{1,2,6},{3,5},{4}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,2},{3,5,6},{4}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,2},{3,5},{4,6}} => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
{{1,2},{3,5},{4},{6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,2,6},{3},{4,5}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,2},{3,6},{4,5}} => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
{{1,2},{3},{4,5,6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,2},{3},{4,5},{6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,2,6},{3},{4},{5}} => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 3
{{1,2},{3,6},{4},{5}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,2},{3},{4,6},{5}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,2},{3},{4},{5,6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,2},{3},{4},{5},{6}} => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 1
{{1,3,4,5,6},{2}} => [5,1] => [[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => 10
{{1,3,4,5},{2,6}} => [4,2] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 7
{{1,3,4,5},{2},{6}} => [4,1,1] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 6
{{1,3,4,6},{2,5}} => [4,2] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 7
{{1,3,4},{2,5,6}} => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 6
{{1,3,4},{2,5},{6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,3,4,6},{2},{5}} => [4,1,1] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 6
{{1,3,4},{2,6},{5}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,3,4},{2},{5,6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,3,4},{2},{5},{6}} => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 3
{{1,3,5,6},{2,4}} => [4,2] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 7
{{1,3,5},{2,4,6}} => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 6
{{1,3,5},{2,4},{6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,3,6},{2,4,5}} => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 6
{{1,3},{2,4,5,6}} => [4,2] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 7
{{1,3},{2,4,5},{6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,3,6},{2,4},{5}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,3},{2,4,6},{5}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,3},{2,4},{5,6}} => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
{{1,3},{2,4},{5},{6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,3,5,6},{2},{4}} => [4,1,1] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 6
{{1,3,5},{2,6},{4}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,3,5},{2},{4,6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,3,5},{2},{4},{6}} => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 3
{{1,3,6},{2,5},{4}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,3},{2,5,6},{4}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,3},{2,5},{4,6}} => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
{{1,3},{2,5},{4},{6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,3,6},{2},{4,5}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,3},{2,6},{4,5}} => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
{{1,3},{2},{4,5,6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,3},{2},{4,5},{6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,3,6},{2},{4},{5}} => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 3
{{1,3},{2,6},{4},{5}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,3},{2},{4,6},{5}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,3},{2},{4},{5,6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,3},{2},{4},{5},{6}} => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 1
{{1,4,5,6},{2,3}} => [4,2] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 7
{{1,4,5},{2,3,6}} => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 6
{{1,4,5},{2,3},{6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,4,6},{2,3,5}} => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 6
{{1,4},{2,3,5,6}} => [4,2] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 7
{{1,4},{2,3,5},{6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,4,6},{2,3},{5}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,4},{2,3,6},{5}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,4},{2,3},{5,6}} => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
{{1,4},{2,3},{5},{6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,5,6},{2,3,4}} => [3,3] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 6
{{1,5},{2,3,4,6}} => [4,2] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 7
{{1,5},{2,3,4},{6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,6},{2,3,4,5}} => [4,2] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 7
{{1},{2,3,4,5,6}} => [5,1] => [[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => 10
{{1},{2,3,4,5},{6}} => [4,1,1] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 6
{{1,6},{2,3,4},{5}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1},{2,3,4,6},{5}} => [4,1,1] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 6
{{1},{2,3,4},{5,6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1},{2,3,4},{5},{6}} => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 3
{{1,5,6},{2,3},{4}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,5},{2,3,6},{4}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,5},{2,3},{4,6}} => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
{{1,5},{2,3},{4},{6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,6},{2,3,5},{4}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1},{2,3,5,6},{4}} => [4,1,1] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 6
{{1},{2,3,5},{4,6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1},{2,3,5},{4},{6}} => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 3
{{1,6},{2,3},{4,5}} => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
{{1},{2,3,6},{4,5}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1},{2,3},{4,5,6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1},{2,3},{4,5},{6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,6},{2,3},{4},{5}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1},{2,3,6},{4},{5}} => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 3
{{1},{2,3},{4,6},{5}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1},{2,3},{4},{5,6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1},{2,3},{4},{5},{6}} => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 1
{{1,4,5,6},{2},{3}} => [4,1,1] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 6
{{1,4,5},{2,6},{3}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,4,5},{2},{3,6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,4,5},{2},{3},{6}} => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 3
{{1,4,6},{2,5},{3}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,4},{2,5,6},{3}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,4},{2,5},{3,6}} => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
{{1,4},{2,5},{3},{6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,4,6},{2},{3,5}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,4},{2,6},{3,5}} => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
{{1,4},{2},{3,5,6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,4},{2},{3,5},{6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,4,6},{2},{3},{5}} => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 3
{{1,4},{2,6},{3},{5}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,4},{2},{3,6},{5}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,4},{2},{3},{5,6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,4},{2},{3},{5},{6}} => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 1
{{1,5,6},{2,4},{3}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,5},{2,4,6},{3}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,5},{2,4},{3,6}} => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
{{1,5},{2,4},{3},{6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,6},{2,4,5},{3}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1},{2,4,5,6},{3}} => [4,1,1] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 6
{{1},{2,4,5},{3,6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1},{2,4,5},{3},{6}} => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 3
{{1,6},{2,4},{3,5}} => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
{{1},{2,4,6},{3,5}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1},{2,4},{3,5,6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1},{2,4},{3,5},{6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,6},{2,4},{3},{5}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1},{2,4,6},{3},{5}} => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 3
{{1},{2,4},{3,6},{5}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1},{2,4},{3},{5,6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1},{2,4},{3},{5},{6}} => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 1
{{1,5,6},{2},{3,4}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,5},{2,6},{3,4}} => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
{{1,5},{2},{3,4,6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1,5},{2},{3,4},{6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,6},{2,5},{3,4}} => [2,2,2] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 3
{{1},{2,5,6},{3,4}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1},{2,5},{3,4,6}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1},{2,5},{3,4},{6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,6},{2},{3,4,5}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1},{2,6},{3,4,5}} => [3,2,1] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 4
{{1},{2},{3,4,5,6}} => [4,1,1] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 6
{{1},{2},{3,4,5},{6}} => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 3
{{1,6},{2},{3,4},{5}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1},{2,6},{3,4},{5}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1},{2},{3,4,6},{5}} => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 3
{{1},{2},{3,4},{5,6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1},{2},{3,4},{5},{6}} => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 1
{{1,5,6},{2},{3},{4}} => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 3
{{1,5},{2,6},{3},{4}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,5},{2},{3,6},{4}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,5},{2},{3},{4,6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,5},{2},{3},{4},{6}} => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 1
{{1,6},{2,5},{3},{4}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1},{2,5,6},{3},{4}} => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 3
{{1},{2,5},{3,6},{4}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1},{2,5},{3},{4,6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1},{2,5},{3},{4},{6}} => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 1
{{1,6},{2},{3,5},{4}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1},{2,6},{3,5},{4}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1},{2},{3,5,6},{4}} => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 3
{{1},{2},{3,5},{4,6}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1},{2},{3,5},{4},{6}} => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 1
{{1,6},{2},{3},{4,5}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1},{2,6},{3},{4,5}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1},{2},{3,6},{4,5}} => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1},{2},{3},{4,5,6}} => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 3
{{1},{2},{3},{4,5},{6}} => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 1
{{1,6},{2},{3},{4},{5}} => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 1
{{1},{2,6},{3},{4},{5}} => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 1
{{1},{2},{3,6},{4},{5}} => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 1
{{1},{2},{3},{4,6},{5}} => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 1
{{1},{2},{3},{4},{5,6}} => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 1
{{1},{2},{3},{4},{5},{6}} => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1] => 0
{{1,2,3,4,5,6,7}} => [7] => [[1,2,3,4,5,6,7]] => [1,2,3,4,5,6,7] => 21
{{1,2,3,4,5,6},{7}} => [6,1] => [[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => 15
{{1,2,3,4,5,7},{6}} => [6,1] => [[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => 15
{{1,2,3,4,5},{6,7}} => [5,2] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 11
{{1,2,3,4,5},{6},{7}} => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 10
{{1,2,3,4,6,7},{5}} => [6,1] => [[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => 15
{{1,2,3,4,6},{5,7}} => [5,2] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 11
{{1,2,3,4,6},{5},{7}} => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 10
{{1,2,3,4,7},{5,6}} => [5,2] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 11
{{1,2,3,4},{5,6,7}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,2,3,4},{5,6},{7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,3,4,7},{5},{6}} => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 10
{{1,2,3,4},{5,7},{6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,3,4},{5},{6,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,3,4},{5},{6},{7}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,2,3,5,6,7},{4}} => [6,1] => [[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => 15
{{1,2,3,5,6},{4,7}} => [5,2] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 11
{{1,2,3,5,6},{4},{7}} => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 10
{{1,2,3,5,7},{4,6}} => [5,2] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 11
{{1,2,3,5},{4,6,7}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,2,3,5},{4,6},{7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,3,5,7},{4},{6}} => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 10
{{1,2,3,5},{4,7},{6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,3,5},{4},{6,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,3,5},{4},{6},{7}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,2,3,6,7},{4,5}} => [5,2] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 11
{{1,2,3,6},{4,5,7}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,2,3,6},{4,5},{7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,3,7},{4,5,6}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,2,3},{4,5,6,7}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,2,3},{4,5,6},{7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,2,3,7},{4,5},{6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,3},{4,5,7},{6}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,2,3},{4,5},{6,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2,3},{4,5},{6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,3,6,7},{4},{5}} => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 10
{{1,2,3,6},{4,7},{5}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,3,6},{4},{5,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,3,6},{4},{5},{7}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,2,3,7},{4,6},{5}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,3},{4,6,7},{5}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,2,3},{4,6},{5,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2,3},{4,6},{5},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,3,7},{4},{5,6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,3},{4,7},{5,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2,3},{4},{5,6,7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,2,3},{4},{5,6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,3,7},{4},{5},{6}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,2,3},{4,7},{5},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,3},{4},{5,7},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,3},{4},{5},{6,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,3},{4},{5},{6},{7}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,2,4,5,6,7},{3}} => [6,1] => [[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => 15
{{1,2,4,5,6},{3,7}} => [5,2] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 11
{{1,2,4,5,6},{3},{7}} => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 10
{{1,2,4,5,7},{3,6}} => [5,2] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 11
{{1,2,4,5},{3,6,7}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,2,4,5},{3,6},{7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,4,5,7},{3},{6}} => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 10
{{1,2,4,5},{3,7},{6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,4,5},{3},{6,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,4,5},{3},{6},{7}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,2,4,6,7},{3,5}} => [5,2] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 11
{{1,2,4,6},{3,5,7}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,2,4,6},{3,5},{7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,4,7},{3,5,6}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,2,4},{3,5,6,7}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,2,4},{3,5,6},{7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,2,4,7},{3,5},{6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,4},{3,5,7},{6}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,2,4},{3,5},{6,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2,4},{3,5},{6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,4,6,7},{3},{5}} => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 10
{{1,2,4,6},{3,7},{5}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,4,6},{3},{5,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,4,6},{3},{5},{7}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,2,4,7},{3,6},{5}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,4},{3,6,7},{5}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,2,4},{3,6},{5,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2,4},{3,6},{5},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,4,7},{3},{5,6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,4},{3,7},{5,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2,4},{3},{5,6,7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,2,4},{3},{5,6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,4,7},{3},{5},{6}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,2,4},{3,7},{5},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,4},{3},{5,7},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,4},{3},{5},{6,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,4},{3},{5},{6},{7}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,2,5,6,7},{3,4}} => [5,2] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 11
{{1,2,5,6},{3,4,7}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,2,5,6},{3,4},{7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,5,7},{3,4,6}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,2,5},{3,4,6,7}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,2,5},{3,4,6},{7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,2,5,7},{3,4},{6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,5},{3,4,7},{6}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,2,5},{3,4},{6,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2,5},{3,4},{6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,6,7},{3,4,5}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,2,6},{3,4,5,7}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,2,6},{3,4,5},{7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,2,7},{3,4,5,6}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,2},{3,4,5,6,7}} => [5,2] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 11
{{1,2},{3,4,5,6},{7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,7},{3,4,5},{6}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,2},{3,4,5,7},{6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2},{3,4,5},{6,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2},{3,4,5},{6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,6,7},{3,4},{5}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,6},{3,4,7},{5}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,2,6},{3,4},{5,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2,6},{3,4},{5},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,7},{3,4,6},{5}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,2},{3,4,6,7},{5}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2},{3,4,6},{5,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2},{3,4,6},{5},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,7},{3,4},{5,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2},{3,4,7},{5,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2},{3,4},{5,6,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2},{3,4},{5,6},{7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,2,7},{3,4},{5},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2},{3,4,7},{5},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2},{3,4},{5,7},{6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,2},{3,4},{5},{6,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,2},{3,4},{5},{6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,2,5,6,7},{3},{4}} => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 10
{{1,2,5,6},{3,7},{4}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,5,6},{3},{4,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,5,6},{3},{4},{7}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,2,5,7},{3,6},{4}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,5},{3,6,7},{4}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,2,5},{3,6},{4,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2,5},{3,6},{4},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,5,7},{3},{4,6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,5},{3,7},{4,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2,5},{3},{4,6,7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,2,5},{3},{4,6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,5,7},{3},{4},{6}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,2,5},{3,7},{4},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,5},{3},{4,7},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,5},{3},{4},{6,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,5},{3},{4},{6},{7}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,2,6,7},{3,5},{4}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,6},{3,5,7},{4}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,2,6},{3,5},{4,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2,6},{3,5},{4},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,7},{3,5,6},{4}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,2},{3,5,6,7},{4}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2},{3,5,6},{4,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2},{3,5,6},{4},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,7},{3,5},{4,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2},{3,5,7},{4,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2},{3,5},{4,6,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2},{3,5},{4,6},{7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,2,7},{3,5},{4},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2},{3,5,7},{4},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2},{3,5},{4,7},{6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,2},{3,5},{4},{6,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,2},{3,5},{4},{6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,2,6,7},{3},{4,5}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2,6},{3,7},{4,5}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2,6},{3},{4,5,7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,2,6},{3},{4,5},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,7},{3,6},{4,5}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2},{3,6,7},{4,5}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2},{3,6},{4,5,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2},{3,6},{4,5},{7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,2,7},{3},{4,5,6}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,2},{3,7},{4,5,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,2},{3},{4,5,6,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,2},{3},{4,5,6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,7},{3},{4,5},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2},{3,7},{4,5},{6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,2},{3},{4,5,7},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2},{3},{4,5},{6,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,2},{3},{4,5},{6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,2,6,7},{3},{4},{5}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,2,6},{3,7},{4},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,6},{3},{4,7},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,6},{3},{4},{5,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2,6},{3},{4},{5},{7}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,2,7},{3,6},{4},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2},{3,6,7},{4},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2},{3,6},{4,7},{5}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,2},{3,6},{4},{5,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,2},{3,6},{4},{5},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,2,7},{3},{4,6},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2},{3,7},{4,6},{5}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,2},{3},{4,6,7},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2},{3},{4,6},{5,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,2},{3},{4,6},{5},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,2,7},{3},{4},{5,6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2},{3,7},{4},{5,6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,2},{3},{4,7},{5,6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,2},{3},{4},{5,6,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,2},{3},{4},{5,6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,2,7},{3},{4},{5},{6}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,2},{3,7},{4},{5},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,2},{3},{4,7},{5},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,2},{3},{4},{5,7},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,2},{3},{4},{5},{6,7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,2},{3},{4},{5},{6},{7}} => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
{{1,3,4,5,6,7},{2}} => [6,1] => [[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => 15
{{1,3,4,5,6},{2,7}} => [5,2] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 11
{{1,3,4,5,6},{2},{7}} => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 10
{{1,3,4,5,7},{2,6}} => [5,2] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 11
{{1,3,4,5},{2,6,7}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,3,4,5},{2,6},{7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3,4,5,7},{2},{6}} => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 10
{{1,3,4,5},{2,7},{6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3,4,5},{2},{6,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3,4,5},{2},{6},{7}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,3,4,6,7},{2,5}} => [5,2] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 11
{{1,3,4,6},{2,5,7}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,3,4,6},{2,5},{7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3,4,7},{2,5,6}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,3,4},{2,5,6,7}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,3,4},{2,5,6},{7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,3,4,7},{2,5},{6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3,4},{2,5,7},{6}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,3,4},{2,5},{6,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,3,4},{2,5},{6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3,4,6,7},{2},{5}} => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 10
{{1,3,4,6},{2,7},{5}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3,4,6},{2},{5,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3,4,6},{2},{5},{7}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,3,4,7},{2,6},{5}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3,4},{2,6,7},{5}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,3,4},{2,6},{5,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,3,4},{2,6},{5},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3,4,7},{2},{5,6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3,4},{2,7},{5,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,3,4},{2},{5,6,7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,3,4},{2},{5,6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3,4,7},{2},{5},{6}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,3,4},{2,7},{5},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3,4},{2},{5,7},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3,4},{2},{5},{6,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3,4},{2},{5},{6},{7}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,3,5,6,7},{2,4}} => [5,2] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 11
{{1,3,5,6},{2,4,7}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,3,5,6},{2,4},{7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3,5,7},{2,4,6}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,3,5},{2,4,6,7}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,3,5},{2,4,6},{7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,3,5,7},{2,4},{6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3,5},{2,4,7},{6}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,3,5},{2,4},{6,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,3,5},{2,4},{6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3,6,7},{2,4,5}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,3,6},{2,4,5,7}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,3,6},{2,4,5},{7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,3,7},{2,4,5,6}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,3},{2,4,5,6,7}} => [5,2] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 11
{{1,3},{2,4,5,6},{7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3,7},{2,4,5},{6}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,3},{2,4,5,7},{6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3},{2,4,5},{6,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,3},{2,4,5},{6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3,6,7},{2,4},{5}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3,6},{2,4,7},{5}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,3,6},{2,4},{5,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,3,6},{2,4},{5},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3,7},{2,4,6},{5}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,3},{2,4,6,7},{5}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3},{2,4,6},{5,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,3},{2,4,6},{5},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3,7},{2,4},{5,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,3},{2,4,7},{5,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,3},{2,4},{5,6,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,3},{2,4},{5,6},{7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,3,7},{2,4},{5},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3},{2,4,7},{5},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3},{2,4},{5,7},{6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,3},{2,4},{5},{6,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,3},{2,4},{5},{6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,3,5,6,7},{2},{4}} => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 10
{{1,3,5,6},{2,7},{4}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3,5,6},{2},{4,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3,5,6},{2},{4},{7}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,3,5,7},{2,6},{4}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3,5},{2,6,7},{4}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,3,5},{2,6},{4,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,3,5},{2,6},{4},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3,5,7},{2},{4,6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3,5},{2,7},{4,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,3,5},{2},{4,6,7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,3,5},{2},{4,6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3,5,7},{2},{4},{6}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,3,5},{2,7},{4},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3,5},{2},{4,7},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3,5},{2},{4},{6,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3,5},{2},{4},{6},{7}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,3,6,7},{2,5},{4}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3,6},{2,5,7},{4}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,3,6},{2,5},{4,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,3,6},{2,5},{4},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3,7},{2,5,6},{4}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,3},{2,5,6,7},{4}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3},{2,5,6},{4,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,3},{2,5,6},{4},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3,7},{2,5},{4,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,3},{2,5,7},{4,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,3},{2,5},{4,6,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,3},{2,5},{4,6},{7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,3,7},{2,5},{4},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3},{2,5,7},{4},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3},{2,5},{4,7},{6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,3},{2,5},{4},{6,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,3},{2,5},{4},{6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,3,6,7},{2},{4,5}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3,6},{2,7},{4,5}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,3,6},{2},{4,5,7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,3,6},{2},{4,5},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3,7},{2,6},{4,5}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,3},{2,6,7},{4,5}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,3},{2,6},{4,5,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,3},{2,6},{4,5},{7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,3,7},{2},{4,5,6}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,3},{2,7},{4,5,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,3},{2},{4,5,6,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,3},{2},{4,5,6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3,7},{2},{4,5},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3},{2,7},{4,5},{6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,3},{2},{4,5,7},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3},{2},{4,5},{6,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,3},{2},{4,5},{6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,3,6,7},{2},{4},{5}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,3,6},{2,7},{4},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3,6},{2},{4,7},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3,6},{2},{4},{5,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3,6},{2},{4},{5},{7}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,3,7},{2,6},{4},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3},{2,6,7},{4},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3},{2,6},{4,7},{5}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,3},{2,6},{4},{5,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,3},{2,6},{4},{5},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,3,7},{2},{4,6},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3},{2,7},{4,6},{5}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,3},{2},{4,6,7},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3},{2},{4,6},{5,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,3},{2},{4,6},{5},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,3,7},{2},{4},{5,6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3},{2,7},{4},{5,6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,3},{2},{4,7},{5,6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,3},{2},{4},{5,6,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,3},{2},{4},{5,6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,3,7},{2},{4},{5},{6}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,3},{2,7},{4},{5},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,3},{2},{4,7},{5},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,3},{2},{4},{5,7},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,3},{2},{4},{5},{6,7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,3},{2},{4},{5},{6},{7}} => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
{{1,4,5,6,7},{2,3}} => [5,2] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 11
{{1,4,5,6},{2,3,7}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,4,5,6},{2,3},{7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,4,5,7},{2,3,6}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,4,5},{2,3,6,7}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,4,5},{2,3,6},{7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,4,5,7},{2,3},{6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,4,5},{2,3,7},{6}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,4,5},{2,3},{6,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,4,5},{2,3},{6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4,6,7},{2,3,5}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,4,6},{2,3,5,7}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,4,6},{2,3,5},{7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,4,7},{2,3,5,6}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,4},{2,3,5,6,7}} => [5,2] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 11
{{1,4},{2,3,5,6},{7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,4,7},{2,3,5},{6}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,4},{2,3,5,7},{6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,4},{2,3,5},{6,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,4},{2,3,5},{6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4,6,7},{2,3},{5}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,4,6},{2,3,7},{5}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,4,6},{2,3},{5,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,4,6},{2,3},{5},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4,7},{2,3,6},{5}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,4},{2,3,6,7},{5}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,4},{2,3,6},{5,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,4},{2,3,6},{5},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4,7},{2,3},{5,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,4},{2,3,7},{5,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,4},{2,3},{5,6,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,4},{2,3},{5,6},{7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,4,7},{2,3},{5},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4},{2,3,7},{5},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4},{2,3},{5,7},{6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,4},{2,3},{5},{6,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,4},{2,3},{5},{6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,5,6,7},{2,3,4}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,5,6},{2,3,4,7}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,5,6},{2,3,4},{7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,5,7},{2,3,4,6}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,5},{2,3,4,6,7}} => [5,2] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 11
{{1,5},{2,3,4,6},{7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,5,7},{2,3,4},{6}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,5},{2,3,4,7},{6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,5},{2,3,4},{6,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,5},{2,3,4},{6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,6,7},{2,3,4,5}} => [4,3] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 9
{{1,6},{2,3,4,5,7}} => [5,2] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 11
{{1,6},{2,3,4,5},{7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,7},{2,3,4,5,6}} => [5,2] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 11
{{1},{2,3,4,5,6,7}} => [6,1] => [[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => 15
{{1},{2,3,4,5,6},{7}} => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 10
{{1,7},{2,3,4,5},{6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1},{2,3,4,5,7},{6}} => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 10
{{1},{2,3,4,5},{6,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1},{2,3,4,5},{6},{7}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,6,7},{2,3,4},{5}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,6},{2,3,4,7},{5}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,6},{2,3,4},{5,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,6},{2,3,4},{5},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,7},{2,3,4,6},{5}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1},{2,3,4,6,7},{5}} => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 10
{{1},{2,3,4,6},{5,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1},{2,3,4,6},{5},{7}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,7},{2,3,4},{5,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1},{2,3,4,7},{5,6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1},{2,3,4},{5,6,7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1},{2,3,4},{5,6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,7},{2,3,4},{5},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,3,4,7},{5},{6}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1},{2,3,4},{5,7},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,3,4},{5},{6,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,3,4},{5},{6},{7}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,5,6,7},{2,3},{4}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,5,6},{2,3,7},{4}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,5,6},{2,3},{4,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,5,6},{2,3},{4},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,5,7},{2,3,6},{4}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,5},{2,3,6,7},{4}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,5},{2,3,6},{4,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,5},{2,3,6},{4},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,5,7},{2,3},{4,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,5},{2,3,7},{4,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,5},{2,3},{4,6,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,5},{2,3},{4,6},{7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,5,7},{2,3},{4},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,5},{2,3,7},{4},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,5},{2,3},{4,7},{6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,5},{2,3},{4},{6,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,5},{2,3},{4},{6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,6,7},{2,3,5},{4}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,6},{2,3,5,7},{4}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,6},{2,3,5},{4,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,6},{2,3,5},{4},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,7},{2,3,5,6},{4}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1},{2,3,5,6,7},{4}} => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 10
{{1},{2,3,5,6},{4,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1},{2,3,5,6},{4},{7}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,7},{2,3,5},{4,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1},{2,3,5,7},{4,6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1},{2,3,5},{4,6,7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1},{2,3,5},{4,6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,7},{2,3,5},{4},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,3,5,7},{4},{6}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1},{2,3,5},{4,7},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,3,5},{4},{6,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,3,5},{4},{6},{7}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,6,7},{2,3},{4,5}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,6},{2,3,7},{4,5}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,6},{2,3},{4,5,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,6},{2,3},{4,5},{7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,7},{2,3,6},{4,5}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1},{2,3,6,7},{4,5}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1},{2,3,6},{4,5,7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1},{2,3,6},{4,5},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,7},{2,3},{4,5,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1},{2,3,7},{4,5,6}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1},{2,3},{4,5,6,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1},{2,3},{4,5,6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,7},{2,3},{4,5},{6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,3,7},{4,5},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,3},{4,5,7},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,3},{4,5},{6,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,3},{4,5},{6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,6,7},{2,3},{4},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,6},{2,3,7},{4},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,6},{2,3},{4,7},{5}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,6},{2,3},{4},{5,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,6},{2,3},{4},{5},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,7},{2,3,6},{4},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,3,6,7},{4},{5}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1},{2,3,6},{4,7},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,3,6},{4},{5,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,3,6},{4},{5},{7}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,7},{2,3},{4,6},{5}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,3,7},{4,6},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,3},{4,6,7},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,3},{4,6},{5,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,3},{4,6},{5},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,7},{2,3},{4},{5,6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,3,7},{4},{5,6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,3},{4,7},{5,6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,3},{4},{5,6,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,3},{4},{5,6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,7},{2,3},{4},{5},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2,3,7},{4},{5},{6}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1},{2,3},{4,7},{5},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2,3},{4},{5,7},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2,3},{4},{5},{6,7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2,3},{4},{5},{6},{7}} => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
{{1,4,5,6,7},{2},{3}} => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 10
{{1,4,5,6},{2,7},{3}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,4,5,6},{2},{3,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,4,5,6},{2},{3},{7}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,4,5,7},{2,6},{3}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,4,5},{2,6,7},{3}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,4,5},{2,6},{3,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,4,5},{2,6},{3},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4,5,7},{2},{3,6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,4,5},{2,7},{3,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,4,5},{2},{3,6,7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,4,5},{2},{3,6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4,5,7},{2},{3},{6}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,4,5},{2,7},{3},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4,5},{2},{3,7},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4,5},{2},{3},{6,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4,5},{2},{3},{6},{7}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,4,6,7},{2,5},{3}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,4,6},{2,5,7},{3}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,4,6},{2,5},{3,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,4,6},{2,5},{3},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4,7},{2,5,6},{3}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,4},{2,5,6,7},{3}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,4},{2,5,6},{3,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,4},{2,5,6},{3},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4,7},{2,5},{3,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,4},{2,5,7},{3,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,4},{2,5},{3,6,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,4},{2,5},{3,6},{7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,4,7},{2,5},{3},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4},{2,5,7},{3},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4},{2,5},{3,7},{6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,4},{2,5},{3},{6,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,4},{2,5},{3},{6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,4,6,7},{2},{3,5}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,4,6},{2,7},{3,5}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,4,6},{2},{3,5,7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,4,6},{2},{3,5},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4,7},{2,6},{3,5}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,4},{2,6,7},{3,5}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,4},{2,6},{3,5,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,4},{2,6},{3,5},{7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,4,7},{2},{3,5,6}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,4},{2,7},{3,5,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,4},{2},{3,5,6,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,4},{2},{3,5,6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4,7},{2},{3,5},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4},{2,7},{3,5},{6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,4},{2},{3,5,7},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4},{2},{3,5},{6,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,4},{2},{3,5},{6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,4,6,7},{2},{3},{5}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,4,6},{2,7},{3},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4,6},{2},{3,7},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4,6},{2},{3},{5,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4,6},{2},{3},{5},{7}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,4,7},{2,6},{3},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4},{2,6,7},{3},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4},{2,6},{3,7},{5}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,4},{2,6},{3},{5,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,4},{2,6},{3},{5},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,4,7},{2},{3,6},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4},{2,7},{3,6},{5}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,4},{2},{3,6,7},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4},{2},{3,6},{5,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,4},{2},{3,6},{5},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,4,7},{2},{3},{5,6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4},{2,7},{3},{5,6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,4},{2},{3,7},{5,6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,4},{2},{3},{5,6,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,4},{2},{3},{5,6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,4,7},{2},{3},{5},{6}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,4},{2,7},{3},{5},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,4},{2},{3,7},{5},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,4},{2},{3},{5,7},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,4},{2},{3},{5},{6,7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,4},{2},{3},{5},{6},{7}} => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
{{1,5,6,7},{2,4},{3}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,5,6},{2,4,7},{3}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,5,6},{2,4},{3,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,5,6},{2,4},{3},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,5,7},{2,4,6},{3}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,5},{2,4,6,7},{3}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,5},{2,4,6},{3,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,5},{2,4,6},{3},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,5,7},{2,4},{3,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,5},{2,4,7},{3,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,5},{2,4},{3,6,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,5},{2,4},{3,6},{7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,5,7},{2,4},{3},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,5},{2,4,7},{3},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,5},{2,4},{3,7},{6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,5},{2,4},{3},{6,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,5},{2,4},{3},{6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,6,7},{2,4,5},{3}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,6},{2,4,5,7},{3}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,6},{2,4,5},{3,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,6},{2,4,5},{3},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,7},{2,4,5,6},{3}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1},{2,4,5,6,7},{3}} => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 10
{{1},{2,4,5,6},{3,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1},{2,4,5,6},{3},{7}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,7},{2,4,5},{3,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1},{2,4,5,7},{3,6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1},{2,4,5},{3,6,7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1},{2,4,5},{3,6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,7},{2,4,5},{3},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,4,5,7},{3},{6}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1},{2,4,5},{3,7},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,4,5},{3},{6,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,4,5},{3},{6},{7}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,6,7},{2,4},{3,5}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,6},{2,4,7},{3,5}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,6},{2,4},{3,5,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,6},{2,4},{3,5},{7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,7},{2,4,6},{3,5}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1},{2,4,6,7},{3,5}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1},{2,4,6},{3,5,7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1},{2,4,6},{3,5},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,7},{2,4},{3,5,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1},{2,4,7},{3,5,6}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1},{2,4},{3,5,6,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1},{2,4},{3,5,6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,7},{2,4},{3,5},{6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,4,7},{3,5},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,4},{3,5,7},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,4},{3,5},{6,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,4},{3,5},{6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,6,7},{2,4},{3},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,6},{2,4,7},{3},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,6},{2,4},{3,7},{5}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,6},{2,4},{3},{5,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,6},{2,4},{3},{5},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,7},{2,4,6},{3},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,4,6,7},{3},{5}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1},{2,4,6},{3,7},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,4,6},{3},{5,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,4,6},{3},{5},{7}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,7},{2,4},{3,6},{5}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,4,7},{3,6},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,4},{3,6,7},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,4},{3,6},{5,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,4},{3,6},{5},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,7},{2,4},{3},{5,6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,4,7},{3},{5,6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,4},{3,7},{5,6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,4},{3},{5,6,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,4},{3},{5,6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,7},{2,4},{3},{5},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2,4,7},{3},{5},{6}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1},{2,4},{3,7},{5},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2,4},{3},{5,7},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2,4},{3},{5},{6,7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2,4},{3},{5},{6},{7}} => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
{{1,5,6,7},{2},{3,4}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,5,6},{2,7},{3,4}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,5,6},{2},{3,4,7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,5,6},{2},{3,4},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,5,7},{2,6},{3,4}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,5},{2,6,7},{3,4}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,5},{2,6},{3,4,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,5},{2,6},{3,4},{7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,5,7},{2},{3,4,6}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,5},{2,7},{3,4,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,5},{2},{3,4,6,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,5},{2},{3,4,6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,5,7},{2},{3,4},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,5},{2,7},{3,4},{6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,5},{2},{3,4,7},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,5},{2},{3,4},{6,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,5},{2},{3,4},{6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,6,7},{2,5},{3,4}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,6},{2,5,7},{3,4}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,6},{2,5},{3,4,7}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,6},{2,5},{3,4},{7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,7},{2,5,6},{3,4}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1},{2,5,6,7},{3,4}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1},{2,5,6},{3,4,7}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1},{2,5,6},{3,4},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,7},{2,5},{3,4,6}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1},{2,5,7},{3,4,6}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1},{2,5},{3,4,6,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1},{2,5},{3,4,6},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,7},{2,5},{3,4},{6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,5,7},{3,4},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,5},{3,4,7},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,5},{3,4},{6,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,5},{3,4},{6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,6,7},{2},{3,4,5}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1,6},{2,7},{3,4,5}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1,6},{2},{3,4,5,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1,6},{2},{3,4,5},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,7},{2,6},{3,4,5}} => [3,2,2] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 5
{{1},{2,6,7},{3,4,5}} => [3,3,1] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 6
{{1},{2,6},{3,4,5,7}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1},{2,6},{3,4,5},{7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,7},{2},{3,4,5,6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1},{2,7},{3,4,5,6}} => [4,2,1] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 7
{{1},{2},{3,4,5,6,7}} => [5,1,1] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 10
{{1},{2},{3,4,5,6},{7}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,7},{2},{3,4,5},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,7},{3,4,5},{6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2},{3,4,5,7},{6}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1},{2},{3,4,5},{6,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2},{3,4,5},{6},{7}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,6,7},{2},{3,4},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,6},{2,7},{3,4},{5}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,6},{2},{3,4,7},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,6},{2},{3,4},{5,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,6},{2},{3,4},{5},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,7},{2,6},{3,4},{5}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,6,7},{3,4},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,6},{3,4,7},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,6},{3,4},{5,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,6},{3,4},{5},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,7},{2},{3,4,6},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,7},{3,4,6},{5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2},{3,4,6,7},{5}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1},{2},{3,4,6},{5,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2},{3,4,6},{5},{7}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,7},{2},{3,4},{5,6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,7},{3,4},{5,6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2},{3,4,7},{5,6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2},{3,4},{5,6,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2},{3,4},{5,6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,7},{2},{3,4},{5},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2,7},{3,4},{5},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2},{3,4,7},{5},{6}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1},{2},{3,4},{5,7},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2},{3,4},{5},{6,7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2},{3,4},{5},{6},{7}} => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
{{1,5,6,7},{2},{3},{4}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1,5,6},{2,7},{3},{4}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,5,6},{2},{3,7},{4}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,5,6},{2},{3},{4,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,5,6},{2},{3},{4},{7}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,5,7},{2,6},{3},{4}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,5},{2,6,7},{3},{4}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,5},{2,6},{3,7},{4}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,5},{2,6},{3},{4,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,5},{2,6},{3},{4},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,5,7},{2},{3,6},{4}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,5},{2,7},{3,6},{4}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,5},{2},{3,6,7},{4}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,5},{2},{3,6},{4,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,5},{2},{3,6},{4},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,5,7},{2},{3},{4,6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,5},{2,7},{3},{4,6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,5},{2},{3,7},{4,6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,5},{2},{3},{4,6,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,5},{2},{3},{4,6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,5,7},{2},{3},{4},{6}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,5},{2,7},{3},{4},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,5},{2},{3,7},{4},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,5},{2},{3},{4,7},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,5},{2},{3},{4},{6,7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,5},{2},{3},{4},{6},{7}} => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
{{1,6,7},{2,5},{3},{4}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,6},{2,5,7},{3},{4}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,6},{2,5},{3,7},{4}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,6},{2,5},{3},{4,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,6},{2,5},{3},{4},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,7},{2,5,6},{3},{4}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,5,6,7},{3},{4}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1},{2,5,6},{3,7},{4}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,5,6},{3},{4,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,5,6},{3},{4},{7}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,7},{2,5},{3,6},{4}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,5,7},{3,6},{4}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,5},{3,6,7},{4}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,5},{3,6},{4,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,5},{3,6},{4},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,7},{2,5},{3},{4,6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,5,7},{3},{4,6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,5},{3,7},{4,6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,5},{3},{4,6,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,5},{3},{4,6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,7},{2,5},{3},{4},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2,5,7},{3},{4},{6}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1},{2,5},{3,7},{4},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2,5},{3},{4,7},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2,5},{3},{4},{6,7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2,5},{3},{4},{6},{7}} => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
{{1,6,7},{2},{3,5},{4}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,6},{2,7},{3,5},{4}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,6},{2},{3,5,7},{4}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,6},{2},{3,5},{4,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,6},{2},{3,5},{4},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,7},{2,6},{3,5},{4}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,6,7},{3,5},{4}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,6},{3,5,7},{4}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,6},{3,5},{4,7}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,6},{3,5},{4},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,7},{2},{3,5,6},{4}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,7},{3,5,6},{4}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2},{3,5,6,7},{4}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1},{2},{3,5,6},{4,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2},{3,5,6},{4},{7}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,7},{2},{3,5},{4,6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,7},{3,5},{4,6}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2},{3,5,7},{4,6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2},{3,5},{4,6,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2},{3,5},{4,6},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,7},{2},{3,5},{4},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2,7},{3,5},{4},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2},{3,5,7},{4},{6}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1},{2},{3,5},{4,7},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2},{3,5},{4},{6,7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2},{3,5},{4},{6},{7}} => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
{{1,6,7},{2},{3},{4,5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,6},{2,7},{3},{4,5}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,6},{2},{3,7},{4,5}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,6},{2},{3},{4,5,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1,6},{2},{3},{4,5},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,7},{2,6},{3},{4,5}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,6,7},{3},{4,5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,6},{3,7},{4,5}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,6},{3},{4,5,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,6},{3},{4,5},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,7},{2},{3,6},{4,5}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2,7},{3,6},{4,5}} => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1},{2},{3,6,7},{4,5}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2},{3,6},{4,5,7}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2},{3,6},{4,5},{7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,7},{2},{3},{4,5,6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2,7},{3},{4,5,6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2},{3,7},{4,5,6}} => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 4
{{1},{2},{3},{4,5,6,7}} => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 6
{{1},{2},{3},{4,5,6},{7}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,7},{2},{3},{4,5},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2,7},{3},{4,5},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2},{3,7},{4,5},{6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2},{3},{4,5,7},{6}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1},{2},{3},{4,5},{6,7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2},{3},{4,5},{6},{7}} => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
{{1,6,7},{2},{3},{4},{5}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1,6},{2,7},{3},{4},{5}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,6},{2},{3,7},{4},{5}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,6},{2},{3},{4,7},{5}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,6},{2},{3},{4},{5,7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,6},{2},{3},{4},{5},{7}} => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
{{1,7},{2,6},{3},{4},{5}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2,6,7},{3},{4},{5}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1},{2,6},{3,7},{4},{5}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2,6},{3},{4,7},{5}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2,6},{3},{4},{5,7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2,6},{3},{4},{5},{7}} => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
{{1,7},{2},{3,6},{4},{5}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2,7},{3,6},{4},{5}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2},{3,6,7},{4},{5}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1},{2},{3,6},{4,7},{5}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2},{3,6},{4},{5,7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2},{3,6},{4},{5},{7}} => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
{{1,7},{2},{3},{4,6},{5}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2,7},{3},{4,6},{5}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2},{3,7},{4,6},{5}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2},{3},{4,6,7},{5}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1},{2},{3},{4,6},{5,7}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2},{3},{4,6},{5},{7}} => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
{{1,7},{2},{3},{4},{5,6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2,7},{3},{4},{5,6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2},{3,7},{4},{5,6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2},{3},{4,7},{5,6}} => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1},{2},{3},{4},{5,6,7}} => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 3
{{1},{2},{3},{4},{5,6},{7}} => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
{{1,7},{2},{3},{4},{5},{6}} => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
{{1},{2,7},{3},{4},{5},{6}} => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
{{1},{2},{3,7},{4},{5},{6}} => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
{{1},{2},{3},{4,7},{5},{6}} => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
{{1},{2},{3},{4},{5,7},{6}} => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
{{1},{2},{3},{4},{5},{6,7}} => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
{{1},{2},{3},{4},{5},{6},{7}} => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1] => 0
{{1,2},{3,4},{5,6},{7,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,3},{2,4},{5,6},{7,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,4},{2,3},{5,6},{7,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,5},{2,3},{4,6},{7,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,6},{2,3},{4,5},{7,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,7},{2,3},{4,5},{6,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,8},{2,3},{4,5},{6,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,8},{2,4},{3,5},{6,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,7},{2,4},{3,5},{6,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,6},{2,4},{3,5},{7,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,5},{2,4},{3,6},{7,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,4},{2,5},{3,6},{7,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,3},{2,5},{4,6},{7,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,2},{3,5},{4,6},{7,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,2},{3,6},{4,5},{7,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,3},{2,6},{4,5},{7,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,4},{2,6},{3,5},{7,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,5},{2,6},{3,4},{7,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,6},{2,5},{3,4},{7,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,7},{2,5},{3,4},{6,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,8},{2,5},{3,4},{6,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,8},{2,6},{3,4},{5,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,7},{2,6},{3,4},{5,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,6},{2,7},{3,4},{5,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,5},{2,7},{3,4},{6,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,4},{2,7},{3,5},{6,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,3},{2,7},{4,5},{6,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,2},{3,7},{4,5},{6,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,2},{3,8},{4,5},{6,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,3},{2,8},{4,5},{6,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,4},{2,8},{3,5},{6,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,5},{2,8},{3,4},{6,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,6},{2,8},{3,4},{5,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,7},{2,8},{3,4},{5,6}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,8},{2,7},{3,4},{5,6}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,8},{2,7},{3,5},{4,6}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,7},{2,8},{3,5},{4,6}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,6},{2,8},{3,5},{4,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,5},{2,8},{3,6},{4,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,4},{2,8},{3,6},{5,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,3},{2,8},{4,6},{5,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,2},{3,8},{4,6},{5,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,2},{3,7},{4,6},{5,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,3},{2,7},{4,6},{5,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,4},{2,7},{3,6},{5,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,5},{2,7},{3,6},{4,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,6},{2,7},{3,5},{4,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,7},{2,6},{3,5},{4,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,8},{2,6},{3,5},{4,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,8},{2,5},{3,6},{4,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,7},{2,5},{3,6},{4,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,6},{2,5},{3,7},{4,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,5},{2,6},{3,7},{4,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,4},{2,6},{3,7},{5,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,3},{2,6},{4,7},{5,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,2},{3,6},{4,7},{5,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,2},{3,5},{4,7},{6,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,3},{2,5},{4,7},{6,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,4},{2,5},{3,7},{6,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,5},{2,4},{3,7},{6,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,6},{2,4},{3,7},{5,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,7},{2,4},{3,6},{5,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,8},{2,4},{3,6},{5,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,8},{2,3},{4,6},{5,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,7},{2,3},{4,6},{5,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,6},{2,3},{4,7},{5,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,5},{2,3},{4,7},{6,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,4},{2,3},{5,7},{6,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,3},{2,4},{5,7},{6,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,2},{3,4},{5,7},{6,8}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,2},{3,4},{5,8},{6,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,3},{2,4},{5,8},{6,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,4},{2,3},{5,8},{6,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,5},{2,3},{4,8},{6,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,6},{2,3},{4,8},{5,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,7},{2,3},{4,8},{5,6}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,8},{2,3},{4,7},{5,6}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,8},{2,4},{3,7},{5,6}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,7},{2,4},{3,8},{5,6}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,6},{2,4},{3,8},{5,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,5},{2,4},{3,8},{6,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,4},{2,5},{3,8},{6,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,3},{2,5},{4,8},{6,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,2},{3,5},{4,8},{6,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,2},{3,6},{4,8},{5,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,3},{2,6},{4,8},{5,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,4},{2,6},{3,8},{5,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,5},{2,6},{3,8},{4,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,6},{2,5},{3,8},{4,7}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,7},{2,5},{3,8},{4,6}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,8},{2,5},{3,7},{4,6}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,8},{2,6},{3,7},{4,5}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,7},{2,6},{3,8},{4,5}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,6},{2,7},{3,8},{4,5}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,5},{2,7},{3,8},{4,6}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,4},{2,7},{3,8},{5,6}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,3},{2,7},{4,8},{5,6}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,2},{3,7},{4,8},{5,6}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,2},{3,8},{4,7},{5,6}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,3},{2,8},{4,7},{5,6}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,4},{2,8},{3,7},{5,6}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,5},{2,8},{3,7},{4,6}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,6},{2,8},{3,7},{4,5}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,7},{2,8},{3,6},{4,5}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,8},{2,7},{3,6},{4,5}} => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 4
{{1,6},{2,7},{3,8},{4,9},{5,10}} => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => [9,10,7,8,5,6,3,4,1,2] => 5
{{1},{2},{3},{4},{5},{6},{7},{8}} => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,2,1] => 0
{{1},{2},{3},{4},{5},{6},{7,8}} => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1
{{1},{2},{3},{4},{5},{6,8},{7}} => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1
{{1},{2},{3},{4},{5},{6,7,8}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1},{2},{3},{4},{5,6},{7},{8}} => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1
{{1},{2},{3},{4},{5,6},{7,8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2},{3},{4},{5,7},{6},{8}} => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1
{{1},{2},{3},{4},{5,8},{6},{7}} => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1
{{1},{2},{3},{4},{5,7,8},{6}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1},{2},{3},{4},{5,6,7},{8}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1},{2},{3},{4},{5,8},{6,7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2},{3},{4},{5,6,8},{7}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1},{2},{3},{4},{5,6,7,8}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1},{2},{3},{4,5},{6},{7,8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2},{3},{4,8},{5},{6},{7}} => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1
{{1},{2},{3},{4,6,7,8},{5}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1},{2},{3},{4,8},{5,6},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2},{3},{4,7,8},{5,6}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2},{3},{4,8},{5,7},{6}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2},{3},{4,8},{5,6,7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2},{3},{4,5,6,7,8}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1},{2},{3,4},{5},{6},{7,8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2},{3,4},{5},{6,8},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2},{3,4},{5,6,7,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2},{3,5},{4},{6,7,8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2},{3,8},{4},{5},{6},{7}} => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1
{{1},{2},{3,7,8},{4},{5,6}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2},{3,5,7,8},{4},{6}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1},{2},{3,8},{4},{5,6,7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2},{3,5,8},{4},{6,7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2},{3,5,6,7,8},{4}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1},{2},{3,4,5},{6},{7},{8}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1},{2},{3,4,5},{6,7,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2},{3,8},{4,5},{6},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2},{3,6,7,8},{4,5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2},{3,8},{4,6},{5},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2},{3,7,8},{4,6},{5}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2},{3,8},{4,7},{5},{6}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2},{3,8},{4,6,7},{5}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2},{3,4,5,6},{7,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2},{3,8},{4,5,6},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2},{3,7,8},{4,5,6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2},{3,8},{4,7},{5,6}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2},{3,4,5,8},{6},{7}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1},{2},{3,4,5,6,7},{8}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1},{2},{3,8},{4,5,6,7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2},{3,4,8},{5,6,7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2},{3,4,5,8},{6,7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2},{3,4,5,6,8},{7}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1},{2},{3,4,5,6,7,8}} => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 15
{{1},{2,3},{4},{5},{6},{7,8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2,3},{4},{5},{6,8},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2,3},{4},{5,6,7,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,3},{4,5},{6,7},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,3},{4,5},{6,8},{7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,3},{4,5},{6,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3},{4,6,7},{5},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,3},{4,6,8},{5},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,3},{4,6,7,8},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,3},{4,5,6},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3},{4,7},{5,6},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,3},{4,8},{5,6},{7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,3},{4,7,8},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3},{4,8},{5,7},{6}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,3},{4,5,8},{6},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,3},{4,8},{5,6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3},{4,5,8},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3},{4,5,6,8},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,3},{4,5,6,7,8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1},{2,4},{3},{5},{6},{7,8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2,4},{3},{5},{6,8},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2,4},{3},{5},{6,7,8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,4},{3},{5,6},{7,8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,4},{3},{5,7,8},{6}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,4},{3},{5,8},{6,7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,4},{3},{5,6,7,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,5},{3},{4},{6,8},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2,8},{3},{4},{5},{6},{7}} => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1
{{1},{2,5,8},{3},{4},{6},{7}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1},{2,8},{3},{4},{5,6,7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,5,6,8},{3},{4},{7}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1},{2,5,6,7,8},{3},{4}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1},{2,4,5},{3},{6,7},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,4,5},{3},{6,8},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,4,5},{3},{6,7,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,6},{3},{4,5},{7,8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,6,8},{3},{4,5},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,6,7,8},{3},{4,5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,4,6},{3},{5},{7,8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,4,6,7},{3},{5},{8}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1},{2,8},{3},{4,6,7},{5}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,4,8},{3},{5},{6,7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,4,6,8},{3},{5},{7}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1},{2,4,6,7,8},{3},{5}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1},{2,7,8},{3},{4,5,6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,4,7},{3},{5,6},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,8},{3},{4,7},{5,6}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,4,8},{3},{5,6},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,4,7,8},{3},{5,6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,4,8},{3},{5,7},{6}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,4,5,7,8},{3},{6}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1},{2,4,8},{3},{5,6,7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,4,5,8},{3},{6,7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,4,5,6,8},{3},{7}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1},{2,4,5,6,7,8},{3}} => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 15
{{1},{2,3,4},{5},{6},{7},{8}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1},{2,3,4},{5},{6,7,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,3,4},{5,6},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,4},{5,8},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,4},{5,6,8},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,5},{3,4},{6,7},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,5},{3,4},{6,8},{7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,5},{3,4},{6,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,8},{3,4},{5},{6},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2,6,7},{3,4},{5},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,6,8},{3,4},{5},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,7},{3,4},{5,6},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,8},{3,4},{5,6},{7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,7,8},{3,4},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,8},{3,4},{5,7},{6}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,8},{3,4},{5,6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,5,8},{3,4},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,5,6,7,8},{3,4}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1},{2,3,5},{4},{6},{7},{8}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1},{2,3,5},{4},{6,7,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,6},{3,5},{4},{7,8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,7},{3,5},{4},{6},{8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2,8},{3,5},{4},{6},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2,6,7},{3,5},{4},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,8},{3,5},{4},{6,7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,6,8},{3,5},{4},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,6,7,8},{3,5},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,3,6},{4},{5},{7},{8}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1},{2,3,7},{4},{5},{6},{8}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1},{2,8},{3,7},{4},{5},{6}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2,3,8},{4},{5},{6},{7}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1},{2,3,7,8},{4},{5},{6}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1},{2,3,6,7},{4},{5},{8}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1},{2,3,6,8},{4},{5},{7}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1},{2,3,6,7,8},{4},{5}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1},{2,7},{3,5,6},{4},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,8},{3,5,6},{4},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,3,7},{4},{5,6},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,8},{3,7},{4},{5,6}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,3,5,7},{4},{6},{8}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1},{2,8},{3,5,7},{4},{6}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,3,5,8},{4},{6},{7}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1},{2,3,5,7,8},{4},{6}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1},{2,3,5,6,7},{4},{8}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1},{2,8},{3,5,6,7},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,3,8},{4},{5,6,7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,3,5,8},{4},{6,7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,3,5,6,8},{4},{7}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1},{2,8},{3,4,5},{6},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,8},{3,4,5},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,6,8},{3,4,5},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,6,7,8},{3,4,5}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1},{2,3,6},{4,5},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,7},{3,6},{4,5},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,8},{3,6},{4,5},{7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,7,8},{3,6},{4,5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,8},{3,7},{4,5},{6}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,3,8},{4,5},{6},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,3,6,7},{4,5},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,8},{3,6,7},{4,5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,8},{4,5},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,6,8},{4,5},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,3,4,6},{5},{7,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,8},{3,4,6},{5},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,7,8},{3,4,6},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,8},{3,7},{4,6},{5}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,3,8},{4,6},{5},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,3,7,8},{4,6},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,3,4,8},{5},{6},{7}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1},{2,3,4,7,8},{5},{6}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1},{2,8},{3,4,6,7},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,3,8},{4,6,7},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,3,4,6,8},{5},{7}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1},{2,3,4,6,7,8},{5}} => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 15
{{1},{2,3,4,5,6},{7},{8}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1},{2,3,4,5,6},{7,8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1},{2,8},{3,4,5,6},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,8},{3,7},{4,5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,8},{4,5,6},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,8},{3,4,7},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,8},{4,7},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,4,8},{5,6},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,3,4,5,7},{6},{8}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1},{2,8},{3,4,5,7},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,3,8},{4,5,7},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,3,4,8},{5,7},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,3,4,5,8},{6},{7}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1},{2,3,4,5,7,8},{6}} => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 15
{{1},{2,3,4,8},{5,6,7}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1},{2,3,4,5,8},{6,7}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1},{2,3,4,5,6,8},{7}} => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 15
{{1},{2,3,4,5,6,7,8}} => [7,1] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => 21
{{1,2},{3},{4},{5},{6},{7},{8}} => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1
{{1,2},{3},{4},{5},{6},{7,8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,2},{3},{4},{5},{6,8},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,2},{3},{4},{5,6,7,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2},{3},{4,5},{6,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3},{4,6,7,8},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2},{3},{4,5,6},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3},{4,5,8},{6},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,2},{3},{4,5,8},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3},{4,5,6,8},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2},{3},{4,5,6,7,8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2},{3,4},{5},{6,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,4},{5,7,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,4},{5,6,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,4},{5,6,7,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,2},{3,5},{4},{6,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,6,7,8},{4},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2},{3,5,6},{4},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,7,8},{4},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,5,7,8},{4},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2},{3,8},{4},{5,6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,5,8},{4},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,5,6,8},{4},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2},{3,5,6,7,8},{4}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2},{3,4,5},{6},{7},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,2},{3,8},{4,5},{6},{7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,2},{3,7,8},{4,5},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,6,8},{4,5},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,6,7,8},{4,5}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,2},{3,4,6},{5},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,7,8},{4,6},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,4,8},{5},{6},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,2},{3,4,7,8},{5},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2},{3,8},{4,6,7},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,4,8},{5},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,4,6,8},{5},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2},{3,4,6,7,8},{5}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2},{3,4,5,6},{7,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,2},{3,8},{4,5,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,4,8},{5,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,8},{4,5,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,4,8},{5,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,4,5,8},{6},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2},{3,4,5,7,8},{6}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2},{3,4,5,6,7},{8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2},{3,8},{4,5,6,7}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,2},{3,4,8},{5,6,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2},{3,4,5,8},{6,7}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,2},{3,4,5,6,8},{7}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2},{3,4,5,6,7,8}} => [6,2] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 16
{{1,3},{2},{4},{5},{6},{7},{8}} => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1
{{1,3},{2},{4},{5},{6},{7,8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,3},{2},{4},{5},{6,8},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,3},{2},{4},{5},{6,7,8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,3},{2},{4},{5,7,8},{6}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,3},{2},{4},{5,8},{6,7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,3},{2},{4},{5,6,7,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3},{2},{4,5},{6,7},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,3},{2},{4,5},{6,8},{7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,3},{2},{4,5},{6,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2},{4,6},{5},{7,8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,3},{2},{4,6,7},{5},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,3},{2},{4,8},{5},{6,7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,3},{2},{4,6,8},{5},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,3},{2},{4,6,7,8},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3},{2},{4,5,6},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2},{4,7},{5,6},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,3},{2},{4,8},{5,6},{7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,3},{2},{4,7,8},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2},{4,8},{5,7},{6}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,3},{2},{4,5,7,8},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3},{2},{4,8},{5,6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2},{4,5,8},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2},{4,5,6,8},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3},{2},{4,5,6,7,8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,4},{2},{3},{5},{6},{7},{8}} => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1
{{1,4},{2},{3},{5},{6,8},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,4},{2},{3},{5},{6,7,8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,4},{2},{3},{5,6},{7,8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,4},{2},{3},{5,8},{6},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,4},{2},{3},{5,6,7,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5},{2},{3},{4},{6},{7},{8}} => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1
{{1,5},{2},{3},{4},{6,7,8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,6},{2},{3},{4},{5},{7},{8}} => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1
{{1,6},{2},{3},{4},{5},{7,8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,7},{2},{3},{4},{5},{6},{8}} => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1
{{1,8},{2},{3},{4},{5},{6},{7}} => [2,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,3,1,2] => 1
{{1,7,8},{2},{3},{4},{5},{6}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1,8},{2},{3},{4},{5},{6,7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,6,8},{2},{3},{4},{5},{7}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1,6,7,8},{2},{3},{4},{5}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1,7},{2},{3},{4},{5,6},{8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,5,7},{2},{3},{4},{6},{8}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1,8},{2},{3},{4},{5,7},{6}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,5,7,8},{2},{3},{4},{6}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1,8},{2},{3},{4},{5,6,7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,5,6,8},{2},{3},{4},{7}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1,5,6,7,8},{2},{3},{4}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,4,5},{2},{3},{6},{7},{8}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1,4,5},{2},{3},{6,8},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,4,5},{2},{3},{6,7,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,6},{2},{3},{4,5},{7},{8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,8},{2},{3},{4,5},{6},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,6,7},{2},{3},{4,5},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,6,7,8},{2},{3},{4,5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,7},{2},{3},{4,6},{5},{8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,4,6,8},{2},{3},{5},{7}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1,4,5,6},{2},{3},{7,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,7},{2},{3},{4,5,6},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,4,8},{2},{3},{5,6},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,4,7,8},{2},{3},{5,6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,5,8},{2},{3},{6},{7}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1,4,5,6,7},{2},{3},{8}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,4,8},{2},{3},{5,6,7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,5,8},{2},{3},{6,7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,5,6,8},{2},{3},{7}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,3,4},{2},{5},{6},{7},{8}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1,3,4},{2},{5},{6},{7,8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,3,4},{2},{5},{6,8},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,3,4},{2},{5},{6,7,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,4},{2},{5,6},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,4},{2},{5,7,8},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,4},{2},{5,8},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,4},{2},{5,6,8},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,4},{2},{5,6,7,8}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,5},{2},{3,4},{6},{7},{8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,5},{2},{3,4},{6},{7,8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,5},{2},{3,4},{6,8},{7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,8},{2},{3,4},{5},{6},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,6,7,8},{2},{3,4},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5,6},{2},{3,4},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7,8},{2},{3,4},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,7},{2},{3,4},{6},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,5,7,8},{2},{3,4},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5,6,7},{2},{3,4},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2},{3,4},{5,6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,8},{2},{3,4},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,6,8},{2},{3,4},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,5},{2},{4},{6},{7},{8}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1,3,5},{2},{4},{6},{7,8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,3,5},{2},{4},{6,7},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,3,5},{2},{4},{6,8},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,3,5},{2},{4},{6,7,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,6},{2},{3,5},{4},{7},{8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,6},{2},{3,5},{4},{7,8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,8},{2},{3,5},{4},{6},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,6,8},{2},{3,5},{4},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,6,7,8},{2},{3,5},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,6},{2},{4},{5},{7},{8}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1,3,7},{2},{4},{5},{6},{8}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1,3,8},{2},{4},{5},{6},{7}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1,3,7,8},{2},{4},{5},{6}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1,3,5,6},{2},{4},{7,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,7},{2},{3,5,6},{4},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,7,8},{2},{3,5,6},{4}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,7},{2},{4},{5,6},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,3,5,7},{2},{4},{6},{8}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1,3,5,8},{2},{4},{6},{7}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1,3,5,7,8},{2},{4},{6}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,3,8},{2},{4},{5,6,7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,5,8},{2},{4},{6,7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,5,6,8},{2},{4},{7}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,3,4,5},{2},{6},{7,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,4,5},{2},{6,7},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,4,5},{2},{6,8},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,4,5},{2},{6,7,8}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,6},{2},{3,4,5},{7},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,6},{2},{3,4,5},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2},{3,4,5},{6},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,7,8},{2},{3,4,5},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,8},{2},{3,4,5},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,8},{2},{3,4,5},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,6},{2},{4,5},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2},{3,6},{4,5},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,7,8},{2},{3,6},{4,5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,7},{2},{4,5},{6},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,3,7,8},{2},{4,5},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2},{3,6,7},{4,5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,8},{2},{4,5},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,6,8},{2},{4,5},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,4,6},{2},{5},{7,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,7},{2},{4,6},{5},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,3,7,8},{2},{4,6},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,4,8},{2},{5},{6},{7}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1,3,4,7,8},{2},{5},{6}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,8},{2},{3,4,6,7},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,8},{2},{4,6,7},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,4,6,8},{2},{5},{7}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,3,4,5,6},{2},{7},{8}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,3,4,5,6},{2},{7,8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,8},{2},{3,4,5,6},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,7},{2},{4,5,6},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,8},{2},{4,5,6},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,8},{2},{3,4,7},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,8},{2},{4,7},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,4,8},{2},{5,6},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2},{3,4,5,7},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,8},{2},{4,5,7},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,4,8},{2},{5,7},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,4,5,8},{2},{6},{7}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,3,4,5,6,7},{2},{8}} => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 15
{{1,3,4,5,8},{2},{6,7}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,3,4,5,6,8},{2},{7}} => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 15
{{1,3,4,5,6,7,8},{2}} => [7,1] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => 21
{{1,2,3},{4},{5},{6},{7},{8}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1,2,3},{4},{5},{6},{7,8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,2,3},{4},{5},{6,8},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,2,3},{4,6,7},{5},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,3},{4,5,8},{6},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,3},{4,5,7,8},{6}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,3},{4,5,6,7},{8}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,3},{4,5,8},{6,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2,3},{4,5,6,7,8}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,4},{2,3},{5},{6},{7},{8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,4},{2,3},{5,7,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,3},{5,6,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,3},{5,6,7,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,5},{2,3},{4},{6},{7},{8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,5},{2,3},{4},{6,7},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,5},{2,3},{4},{6,8},{7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,6},{2,3},{4},{5},{7,8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,7},{2,3},{4},{5},{6},{8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,8},{2,3},{4},{5},{6},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,6,8},{2,3},{4},{5},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,5,6},{2,3},{4},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,3},{4},{5,6},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,7,8},{2,3},{4},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,7},{2,3},{4},{6},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,5,7,8},{2,3},{4},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5,6,7},{2,3},{4},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2,3},{4},{5,6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,8},{2,3},{4},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,6,8},{2,3},{4},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,5},{2,3},{6,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,3},{4,5},{6},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,8},{2,3},{4,5},{6},{7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,7,8},{2,3},{4,5},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,7},{2,3},{4,5},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,8},{2,3},{4,5},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,7,8},{2,3},{4,5}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,4,6},{2,3},{5},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,3},{4,6},{5},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,7,8},{2,3},{4,6},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,8},{2,3},{5},{6},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,4,7,8},{2,3},{5},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,6,7},{2,3},{5},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2,3},{4,6,7},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,8},{2,3},{5},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,6,8},{2,3},{5},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,6,7,8},{2,3},{5}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,4,5,6},{2,3},{7,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,7},{2,3},{4,5,6},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,7},{2,3},{5,6},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,8},{2,3},{5,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,5,7},{2,3},{6},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2,3},{4,5,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,8},{2,3},{5,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,5,8},{2,3},{6},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,5,6,7},{2,3},{8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,4,8},{2,3},{5,6,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,4,5,8},{2,3},{6,7}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,4,5,6,8},{2,3},{7}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,4,5,6,7,8},{2,3}} => [6,2] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 16
{{1,2,4},{3},{5},{6},{7},{8}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1,2,4},{3},{5,6},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,4},{3},{5,8},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,4},{3},{5,6,8},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,4},{3},{5,6,7,8}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,5},{2,4},{3},{6},{7},{8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,5},{2,4},{3},{6},{7,8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,5},{2,4},{3},{6,7},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,5},{2,4},{3},{6,8},{7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,5},{2,4},{3},{6,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,4},{3},{5},{6},{8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,8},{2,4},{3},{5},{6},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,8},{2,4},{3},{5},{6,7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,6,7,8},{2,4},{3},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5,6},{2,4},{3},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,4},{3},{5,6},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,7,8},{2,4},{3},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,7},{2,4},{3},{6},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,8},{2,4},{3},{5,7},{6}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,5,7,8},{2,4},{3},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2,4},{3},{5,6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,8},{2,4},{3},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,6,8},{2,4},{3},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,5},{3},{4},{6},{7},{8}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1,2,5},{3},{4},{6},{7,8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,6},{2,5},{3},{4},{7},{8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,6},{2,5},{3},{4},{7,8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,7},{2,5},{3},{4},{6},{8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,8},{2,5},{3},{4},{6},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,7,8},{2,5},{3},{4},{6}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,6,7,8},{2,5},{3},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,6},{3},{4},{5},{7},{8}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1,2,6},{3},{4},{5},{7,8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,7,8},{2,6},{3},{4},{5}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,2,7},{3},{4},{5},{6},{8}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1,8},{2,7},{3},{4},{5},{6}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,2,8},{3},{4},{5},{6},{7}} => [3,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8]] => [8,7,6,5,4,1,2,3] => 3
{{1,2,7,8},{3},{4},{5},{6}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1,2,5,6},{3},{4},{7,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,7,8},{2,5,6},{3},{4}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,8},{2,5,7},{3},{4},{6}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,2,5,7,8},{3},{4},{6}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,2,5,6,7},{3},{4},{8}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,8},{2,5,6,7},{3},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,5,6,8},{3},{4},{7}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,6},{2,4,5},{3},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,4,5},{3},{6},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,7,8},{2,4,5},{3},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,6,7},{2,4,5},{3},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,8},{2,4,5},{3},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,8},{2,4,5},{3},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,6},{3},{4,5},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,6},{3},{4,5},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,7,8},{2,6},{3},{4,5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,7,8},{3},{4,5},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2,6,7},{3},{4,5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,8},{3},{4,5},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,6,8},{3},{4,5},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,4,6},{3},{5},{7,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,7},{2,4,6},{3},{5},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,7,8},{2,4,6},{3},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,7,8},{3},{4,6},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2,4,7},{3},{5},{6}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,2,4,8},{3},{5},{6},{7}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1,2,4,7,8},{3},{5},{6}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,8},{2,4,6,7},{3},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,8},{3},{4,6,7},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,4,8},{3},{5},{6,7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,4,6,8},{3},{5},{7}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,2,4,6,7,8},{3},{5}} => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 15
{{1,2,4,5,6},{3},{7,8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,7},{2,4,5,6},{3},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2,4,5,6},{3},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2,7},{3},{4,5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,8},{3},{4,5,6},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,4,7},{3},{5,6},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2,4,7},{3},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,8},{3},{4,7},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,4,8},{3},{5,6},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2,4,5,7},{3},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,8},{3},{4,5,7},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,4,8},{3},{5,7},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,4,5,7,8},{3},{6}} => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 15
{{1,2,4,5,8},{3},{6,7}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,4,5,6,8},{3},{7}} => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 15
{{1,2,4,5,6,7,8},{3}} => [7,1] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => 21
{{1,2,3,4},{5},{6},{7},{8}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1,2,3,4},{5},{6,7},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,3,4},{5,6},{7,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,2,3,4},{5,7,8},{6}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,3,4},{5,6,7},{8}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,3,4},{5,8},{6,7}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,2,3,4},{5,6,8},{7}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,3,4},{5,6,7,8}} => [4,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 12
{{1,5},{2,3,4},{6},{7},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,5},{2,3,4},{6,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,3,4},{5},{7},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,6},{2,3,4},{5},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,3,4},{5},{6},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,8},{2,3,4},{5},{6},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,8},{2,3,4},{5},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,8},{2,3,4},{5},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,5,6},{2,3,4},{7},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,7},{2,3,4},{5,6},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,3,4},{5,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,7},{2,3,4},{6},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,8},{2,3,4},{5,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,8},{2,3,4},{6},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,5,6,7},{2,3,4},{8}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,5,8},{2,3,4},{6,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,5,6,8},{2,3,4},{7}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,5,6,7,8},{2,3,4}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,2,5},{3,4},{6},{7},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,2,5},{3,4},{6,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,5},{3,4},{6,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,5},{3,4},{6,7,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,7},{2,5},{3,4},{6},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,7,8},{2,5},{3,4},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,7},{2,5},{3,4},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,8},{2,5},{3,4},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,7,8},{2,5},{3,4}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,2,6},{3,4},{5},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,6},{3,4},{5},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,8},{2,6},{3,4},{5},{7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,7,8},{2,6},{3,4},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,7},{3,4},{5},{6}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,2,8},{3,4},{5},{6},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,2,7,8},{3,4},{5},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2,6,7},{3,4},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,8},{3,4},{5},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,6,8},{3,4},{5},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,5,6},{3,4},{7},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2,5,6},{3,4},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7,8},{2,5,6},{3,4}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2,7},{3,4},{5,6},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,8},{3,4},{5,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,5,7},{3,4},{6},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2,5,7},{3,4},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,8},{3,4},{5,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,5,8},{3,4},{6},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,5,6,8},{3,4},{7}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,3,5},{4},{6},{7,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,3,5},{4},{6,7,8}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,6},{2,3,5},{4},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,3,5},{4},{6},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,7,8},{2,3,5},{4},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,6,7},{2,3,5},{4},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,8},{2,3,5},{4},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,8},{2,3,5},{4},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,6},{3,5},{4},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,6},{3,5},{4},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,7,8},{2,6},{3,5},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,7,8},{3,5},{4},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2,6,7},{3,5},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,8},{3,5},{4},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,6,8},{3,5},{4},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,3,6},{4},{5},{7,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2,3,6},{4},{5},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,7,8},{2,3,6},{4},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,7,8},{3,6},{4},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2,3,7},{4},{5},{6}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,2,3,8},{4},{5},{6},{7}} => [4,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8]] => [8,7,6,5,1,2,3,4] => 6
{{1,2,3,7,8},{4},{5},{6}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,8},{2,3,6,7},{4},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,8},{3,6,7},{4},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,3,8},{4},{5},{6,7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,3,6,8},{4},{5},{7}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,2,3,6,7,8},{4},{5}} => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 15
{{1,2,3,5,6},{4},{7},{8}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,2,3,5,6},{4},{7,8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,7},{2,3,5,6},{4},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2,3,5,6},{4},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,7},{3,5,6},{4},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,8},{2,7},{3,5,6},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,8},{3,5,6},{4},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,3,7},{4},{5,6},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2,3,7},{4},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,8},{3,7},{4},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,3,8},{4},{5,6},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,3,5,7},{4},{6},{8}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,8},{2,3,5,7},{4},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,8},{3,5,7},{4},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,3,8},{4},{5,7},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,3,5,8},{4},{6},{7}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,2,3,5,7,8},{4},{6}} => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 15
{{1,2,3,5,6,7},{4},{8}} => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 15
{{1,8},{2,3,5,6,7},{4}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,3,5,6,7,8},{4}} => [7,1] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => 21
{{1,2,3,4,5},{6},{7},{8}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,2,3,4,5},{6,7},{8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,3,4,5},{6,8},{7}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,3,4,5},{6,7,8}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,6},{2,3,4,5},{7},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,7},{2,3,4,5},{6},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,6,7,8},{2,3,4,5}} => [4,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 12
{{1,2,6},{3,4,5},{7},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,6},{3,4,5},{7,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,7},{2,6},{3,4,5},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,6},{3,4,5},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7,8},{2,6},{3,4,5}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,8},{2,7},{3,4,5},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,8},{3,4,5},{6,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2,6,7,8},{3,4,5}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,2,3,6},{4,5},{7},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,3,6},{4,5},{7,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,8},{2,3,6},{4,5},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,8},{3,6},{4,5},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,3,7},{4,5},{6},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2,3,7},{4,5},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,8},{3,7},{4,5},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,3,8},{4,5},{6},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,3,6,7},{4,5},{8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,8},{2,3,6,7},{4,5}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,2,3,8},{4,5},{6,7}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,2,3,6,8},{4,5},{7}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,3,6,7,8},{4,5}} => [6,2] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 16
{{1,2,3,4,6},{5},{7},{8}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,2,3,4,6},{5},{7,8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,8},{2,3,4,6},{5},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2,7},{3,4,6},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,8},{3,4,6},{5},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,7,8},{3,4,6},{5}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,3,7},{4,6},{5},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2,3,7},{4,6},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,8},{3,7},{4,6},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,3,8},{4,6},{5},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,3,7,8},{4,6},{5}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,3,4,7},{5},{6},{8}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,8},{2,3,4,7},{5},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,8},{3,4,7},{5},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,3,8},{4,7},{5},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,3,4,8},{5},{6},{7}} => [5,1,1,1] => [[1,2,3,4,5],[6],[7],[8]] => [8,7,6,1,2,3,4,5] => 10
{{1,2,3,4,7,8},{5},{6}} => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 15
{{1,2,3,4,6,7},{5},{8}} => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 15
{{1,8},{2,3,4,6,7},{5}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,3,4,6,8},{5},{7}} => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 15
{{1,2,3,4,6,7,8},{5}} => [7,1] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => 21
{{1,2,3,4,5,6},{7},{8}} => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 15
{{1,2,3,4,5,6},{7,8}} => [6,2] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 16
{{1,7},{2,3,4,5,6},{8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,8},{2,3,4,5,6},{7}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,7},{3,4,5,6},{8}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,7,8},{3,4,5,6}} => [4,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 12
{{1,2,3,7},{4,5,6},{8}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,8},{2,3,7},{4,5,6}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2,8},{3,7},{4,5,6}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2,3,8},{4,5,6},{7}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,3,7,8},{4,5,6}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,2,3,4,7},{5,6},{8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,8},{2,3,4,7},{5,6}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,2,8},{3,4,7},{5,6}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2,3,8},{4,7},{5,6}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,2,3,4,8},{5,6},{7}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,3,4,5,7},{6},{8}} => [6,1,1] => [[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => 15
{{1,8},{2,3,4,5,7},{6}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,8},{3,4,5,7},{6}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,3,8},{4,5,7},{6}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,3,4,8},{5,7},{6}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,3,4,5,7,8},{6}} => [7,1] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => 21
{{1,2,3,4,5,6,7},{8}} => [7,1] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => 21
{{1,8},{2,3,4,5,6,7}} => [6,2] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 16
{{1,2,8},{3,4,5,6,7}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,2,3,8},{4,5,6,7}} => [4,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 12
{{1,2,3,4,8},{5,6,7}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,2,3,4,5,8},{6,7}} => [6,2] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 16
{{1,2,3,4,5,6,8},{7}} => [7,1] => [[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => 21
{{1,2,3,4,5,6,7,8}} => [8] => [[1,2,3,4,5,6,7,8]] => [1,2,3,4,5,6,7,8] => 28
{{1,3,5,6,7,8},{2,4}} => [6,2] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 16
{{1,3,4,6,7,8},{2,5}} => [6,2] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 16
{{1,2,4,6,7,8},{3,5}} => [6,2] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 16
{{1,2,4,5,7,8},{3,6}} => [6,2] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 16
{{1,2,3,5,7,8},{4,6}} => [6,2] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 16
{{1,2,4,5,6,8},{3,7}} => [6,2] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 16
{{1,2,3,5,6,8},{4,7}} => [6,2] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 16
{{1,2,3,4,6,8},{5,7}} => [6,2] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 16
{{1,2,4,5,6,7},{3,8}} => [6,2] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 16
{{1,3,5,7,8},{2,4,6}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,2,5,7,8},{3,4,6}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,3,4,7,8},{2,5,6}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,2,4,7,8},{3,5,6}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,2,5,6,8},{3,4,7}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,3,4,6,8},{2,5,7}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,2,4,6,8},{3,5,7}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,2,3,6,8},{4,5,7}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,2,3,5,8},{4,6,7}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,2,3,6,7},{4,5,8}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,3,4,5,7},{2,6,8}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,2,3,4,7},{5,6,8}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,2,4,5,6},{3,7,8}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,2,3,5,6},{4,7,8}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,2,3,4,6},{5,7,8}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,3,6,7,8},{2,4},{5}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,3,4,7,8},{2,6},{5}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,4,7,8},{3,6},{5}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,3,4,5,8},{2,7},{6}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,3,4,6,7},{2,8},{5}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,4,6,7},{3,8},{5}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,3,4,5,7},{2,8},{6}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,3,5,7},{4,8},{6}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,3,4,5,6},{2,8},{7}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,3,5,6},{4,8},{7}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,3,4,6},{5,8},{7}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,3,5,6,7},{2,4},{8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,3,5,7},{4,6},{8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,3,5,6},{4,7},{8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,3,4,6},{5,7},{8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,3,5,7},{2,4,6,8}} => [4,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 12
{{1,2,5,7},{3,4,6,8}} => [4,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 12
{{1,3,4,7},{2,5,6,8}} => [4,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 12
{{1,2,3,7},{4,5,6,8}} => [4,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 12
{{1,3,5,6},{2,4,7,8}} => [4,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 12
{{1,2,5,6},{3,4,7,8}} => [4,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 12
{{1,2,4,6},{3,5,7,8}} => [4,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 12
{{1,2,3,6},{4,5,7,8}} => [4,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 12
{{1,3,6,8},{2,5,7},{4}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,6,8},{3,5,7},{4}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,5,8},{3,6,7},{4}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,5,8},{3,4,6},{7}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,4,8},{3,5,6},{7}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,4,7},{3,6,8},{5}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,3,5,7},{2,4,8},{6}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,4,7},{3,5,8},{6}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,3,4,5},{2,7,8},{6}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,4,5},{3,7,8},{6}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,3,5,6},{2,4,8},{7}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,3,6},{4,5,8},{7}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,3,5},{4,6,7},{8}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,7,8},{3,5},{4,6}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,2,6,8},{3,5},{4,7}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,3,6,8},{2,4},{5,7}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,3,5,8},{2,6},{4,7}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,3,5,8},{2,4},{6,7}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,2,4,8},{3,5},{6,7}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,4,5,7},{2,6},{3,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,3,5,7},{2,6},{4,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,3,5,6},{2,4},{7,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,2,4,6},{3,5},{7,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,5,7,8},{2,6},{3},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,7,8},{2,6},{3},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,7,8},{2,6},{4},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,7,8},{2,5},{4},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,7,8},{2,4},{5},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5,6,8},{2,7},{3},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,6,8},{2,7},{3},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,6,8},{2,7},{4},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,6,8},{3,7},{4},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,5,8},{2,7},{3},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,5,8},{2,7},{4},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,5,8},{3,7},{4},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,4,8},{2,7},{5},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,4,8},{3,7},{5},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,6,8},{2,5},{3},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,6,8},{2,5},{4},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,6,8},{2,4},{5},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,5,8},{2,6},{3},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,5,8},{2,6},{4},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,5,8},{3,6},{4},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,4,8},{2,6},{5},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,4,8},{3,6},{5},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,4,8},{2,5},{6},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,4,8},{3,5},{6},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5,6,7},{2,8},{3},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,6,7},{2,8},{3},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,6,7},{2,8},{4},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,6,7},{3,8},{4},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,5,7},{2,8},{3},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,5,7},{2,8},{4},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,5,7},{3,8},{4},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,4,7},{2,8},{5},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,4,7},{3,8},{5},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,5,6},{2,8},{3},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,5,6},{2,8},{4},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,5,6},{3,8},{4},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,4,6},{2,8},{5},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,4,6},{3,8},{5},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,3,6},{4,8},{5},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,4,5},{2,8},{6},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,4,5},{3,8},{6},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,3,5},{4,8},{6},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,6,7},{2,5},{3},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,6,7},{2,5},{4},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,5,7},{2,6},{3},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,5,7},{2,6},{4},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,5,7},{3,6},{4},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,4,7},{2,6},{5},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,4,7},{3,6},{5},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,5,7},{2,4},{6},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,4,7},{3,5},{6},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,5,6},{2,7},{3},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,4,6},{2,7},{5},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,4,6},{3,7},{5},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,3,6},{4,7},{5},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,4,5},{2,7},{6},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,4,5},{3,7},{6},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,3,5},{4,7},{6},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,4,6},{3,5},{7},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,4,5},{2,6},{7},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,4,5},{3,6},{7},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,3,5},{4,6},{7},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,7},{2,4,8},{5,6}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,4,5},{2,6,8},{3,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,3,4},{2,6,8},{5,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,3,5},{2,4,8},{6,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2,5},{3,4,8},{6,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,3,4},{2,5,8},{6,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2,4},{3,5,8},{6,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,4,6},{2,5,7},{3,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2,5},{3,4,6},{7,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,3,4},{2,5,6},{7,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2,4},{3,5,6},{7,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,5,7},{2,6,8},{3},{4}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,7},{2,6,8},{3},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,7},{2,6,8},{4},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,7},{3,6,8},{4},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,7},{2,5,8},{3},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,7},{2,5,8},{4},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,7},{3,5,8},{4},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,7},{2,4,8},{5},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,7},{3,4,8},{5},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,5,6},{2,7,8},{3},{4}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,6},{2,7,8},{3},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,6},{2,7,8},{4},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,6},{3,7,8},{4},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,5},{2,7,8},{3},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,5},{2,7,8},{4},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,5},{3,7,8},{4},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,4},{2,7,8},{5},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,4},{3,7,8},{5},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,6},{2,5,8},{3},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,6},{2,5,8},{4},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,6},{3,5,8},{4},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,6},{2,4,8},{5},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,6},{3,4,8},{5},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,5},{2,6,8},{3},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,5},{2,6,8},{4},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,5},{3,6,8},{4},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,4},{2,6,8},{5},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,4},{3,6,8},{5},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,5},{3,4,8},{6},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,4},{3,5,8},{6},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,6},{2,5,7},{3},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,6},{2,5,7},{4},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,6},{3,5,7},{4},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,6},{2,4,7},{5},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,5},{2,6,7},{4},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,5},{3,6,7},{4},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,4},{2,6,7},{5},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,5},{2,4,7},{6},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,5},{3,4,7},{6},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,4},{3,5,7},{6},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,5},{3,4,6},{7},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,5,8},{2,6},{3,7},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,8},{2,6},{3,7},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,8},{2,6},{4,7},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,8},{3,6},{4,7},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,8},{2,5},{3,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,8},{2,5},{4,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,8},{3,5},{4,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,8},{2,4},{5,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,8},{2,5},{3,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,8},{2,5},{4,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,8},{3,5},{4,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,8},{2,4},{5,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,7},{2,6},{3,8},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,7},{2,6},{3,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,7},{2,6},{4,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,7},{3,6},{4,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,7},{2,5},{3,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,7},{2,5},{4,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,7},{3,5},{4,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,7},{2,4},{5,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,7},{3,4},{5,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,6},{2,7},{3,8},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,6},{2,7},{3,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,6},{2,7},{4,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,6},{3,7},{4,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,5},{2,7},{3,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,5},{2,7},{4,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,5},{3,7},{4,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,4},{2,7},{5,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,4},{3,7},{5,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,6},{2,5},{3,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,6},{2,5},{4,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,6},{3,5},{4,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,6},{2,4},{5,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,6},{3,4},{5,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,5},{2,6},{3,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,5},{2,6},{4,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,5},{3,6},{4,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,4},{2,6},{5,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,4},{3,6},{5,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,3},{4,6},{5,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,5},{2,4},{6,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,4},{2,5},{6,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,7},{2,5},{3,6},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,7},{2,5},{4,6},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,7},{2,4},{5,6},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,6},{3,4},{5,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,5},{2,6},{3,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,4},{2,6},{5,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,4},{3,6},{5,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,3},{4,6},{5,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,4},{2,5},{6,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,8},{2,4},{5},{6},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,6,7},{2,8},{3},{4},{5}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,3,4},{2,8},{5},{6},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,4,7},{2,6},{3},{5},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,4,7},{2,5},{3},{6},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,3,7},{2,4},{5},{6},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,4,6},{2,7},{3},{5},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,3,5},{2,4},{6},{7},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,5},{2,6},{3,7},{4},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,3},{2,6},{4,7},{5},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,3},{2,5},{4,7},{6},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,4},{2,5},{3,6},{7},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,3},{2,5},{4,6},{7},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,7},{2,8},{3},{4},{5},{6}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,6},{2,8},{3},{4},{5},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,4},{2,8},{3},{5},{6},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,3},{2,8},{4},{5},{6},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,5},{2,6},{3},{4},{7},{8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,4},{2,5},{3},{6},{7},{8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,3},{2,4},{5},{6},{7},{8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,3,5,8},{2},{4,6},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,5,7},{2},{4},{6,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5,7},{2,4},{3},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,4,8},{3},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,8},{2,4},{3,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,8},{2,4},{3,5},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,5,8},{4,6},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5,8},{2,6},{3,4},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,8},{2,6},{3,5},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,5,8},{3},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,7},{2,5},{3},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2},{3,6,7},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2},{3,6},{5,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2},{3,7},{5,6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2},{3,5,8},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2},{3,4,8},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,5},{3},{4,7,8},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,5,7},{3},{4,8},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,3,5,7},{4},{6,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5,7},{2},{3,4},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,7},{2},{3,5},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2},{3,8},{5,6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,6},{2},{3,8},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,6},{2},{3,7},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,6},{3,4,7},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,3,7},{4},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,6,7},{4,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,6},{4,7,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,3},{4},{5,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,6},{3,4},{5,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,7},{3,4},{5,6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,3},{4},{5,6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,7},{4,6,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,5,8},{4,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,3,8},{4,5},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,5},{3,4,8},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4},{3,5,8},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4},{3,7},{5,6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4},{3,6},{5,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4},{3,6,7},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,6,7},{4},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,6},{4},{5,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,7},{4},{5,6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,7,8},{4,5},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,8},{2,4,7},{5},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,8},{2,3,7},{5},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,7},{2,3,8},{5},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,7},{2,8},{4,5},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,8},{4},{5,6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,6},{2,8},{4},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,6},{2,7},{4},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4,6},{3,7},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4,6},{3,8},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4},{3,8},{5,6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4,7},{3,5},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,5,7},{3,4},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,8},{3,4,6},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,3,6},{4},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,6},{3,8},{4,7},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,3,6},{4},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,7},{3,4,6},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,6,8},{4,7},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,5,7},{4,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,7},{4,5,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,8},{2,7},{3},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,7},{2,8},{4},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,7},{2,8},{4,6},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,7},{2},{4,5,8},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,7},{2,3},{4,5,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,3,8},{4,6},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,3,8},{4},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7,8},{2,5},{3,6},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,4,6,8},{3},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,7},{2,4,5},{3,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,6},{2,5},{3},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,7,8},{2},{3,6},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5,8},{2,7},{3,6},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,5,7},{3,6},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,8},{2,6,7},{3},{4}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,5,7},{2},{3,8},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,5},{2,6},{4},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,6},{2,8},{4,7},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,6,8},{2},{3,7},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,8},{2,4,6},{3,7},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,8},{2,5},{3},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,5},{2,8},{4},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,3,8},{4},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,6},{3,4,7},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,8},{2},{3,4,7},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,6,8},{2,4},{3,7},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,3,8},{4,7},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,3,7,8},{4},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5},{2,3,7},{4,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,3,6},{4},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,7},{2,4},{3,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,7},{2,4,8},{3},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,6,8},{2,5,7},{3},{4}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,6,8},{2,7},{3,5},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,8},{2,7},{3},{4,5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,7},{2,8},{3,4},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,7},{2},{3,4,8},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,7},{2,5},{3,4,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,6,8},{3,4},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,8},{2,3,6},{5},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,5},{2,4,8},{3,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,4,7},{3,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,4,8},{3,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,4,8},{3,5},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,5},{3,4,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,3,5},{4,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,3,6},{4,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,6},{3,4,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,8},{2,7},{3,6},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,7},{2,8},{3,6},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,6},{2,8},{3,7},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,7},{2,8},{3,5},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,8},{3,4,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,3,8},{4,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,5},{3,8},{4,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,7},{3,4,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,8},{2,7},{3,5},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,6},{3,4,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,3,6},{4,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,3,6},{4,7},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,3,5},{4,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,5},{3,4,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,4,7},{3,5},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,4,7},{3,6},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,4,8},{3,6},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,5},{2,8},{4,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,8},{2,7},{4,6},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,4,8},{3,7},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,4,7},{3,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,4,6},{3,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,4,8},{3,5},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,3,5},{4,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,7},{3,8},{4,6},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,8},{3,4,6},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,8},{3,4,7},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,3,7},{4,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,7},{3,4,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,5},{2},{4,6,8},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3},{2,4,6,8},{5},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,4,6,8},{3},{5,7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3},{2},{4,6,8},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,6},{2},{4,8},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,6},{2},{4,7},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,5},{2},{4,7},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,5,7},{2},{4,6},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,7},{2},{4,6,8},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,7},{2},{4,6},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,5,7},{2},{4,8},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3},{2,4,8},{5,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4,8},{3,5,7},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4},{2,8},{3,5,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,5,7},{3,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,5,7},{4,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,7},{4,6,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,7},{2,4,6},{5},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,7},{2,4,6},{3},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,7},{2,4,8},{3},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,8},{3,5,7},{4,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,4,6},{3,5},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,7},{2,6},{3,5},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,5,8},{3,7},{4,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,5,8},{3,6},{4,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4,8},{3,6},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4,6,8},{3,5},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4},{2,6,8},{3,5},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,5},{3,6,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,5},{4,6,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,4,6,8},{3},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5},{2,4},{3,6,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,6,8},{3,5,7},{4}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,6},{2,8},{3,5,7},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,4,8},{3},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,4,7},{3},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,4,7},{3},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,7},{2,4,6},{3},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,5,7},{2,4},{3,6},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,6,8},{3,5},{4,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4,6,8},{3,7},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,6},{2,7},{3,5,8},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,5},{2,7},{4},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,6,8},{3,5},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,6},{3,5,8},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,4,6},{5,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,6},{4,5,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,5,6},{4,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,5,6},{3},{4,8},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,6},{3},{4,5,8},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,6},{2,3},{4,5,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,6},{2,3},{4,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,6},{2,3,8},{4},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,5,6},{2,8},{3,4},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,8},{3,4,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,3,8},{4,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,3,5,8},{4},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,5},{3,8},{4,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,4},{3,6},{5},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,4,6},{3},{5,8},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,4},{3,8},{5,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,4},{3,8},{5},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,3,8},{5},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,4},{2,8},{5},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,4},{2,8},{5,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,3,8},{5,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,6},{2,3},{5,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,3,6},{5},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,3,6,8},{5},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4},{2,3,6},{5,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,4,5},{3,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,8},{2,6},{4,5},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,4},{2,6},{5},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,5,8},{3,4},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,4,5},{3,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,5},{2,8},{3,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,8},{2,5,6},{4},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,8},{2,5},{4},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,4},{3,7,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,6},{2,4},{3,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,8},{3,5,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,7,8},{3,5},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,7},{2,8},{3},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,7},{2,8},{3,4},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,7},{2,3,8},{4},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,5},{3,7},{4},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,3,7},{4},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,5},{2,7},{3},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,7},{3},{5,6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,6,7},{3},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,6},{3},{5,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,5,7,8},{3},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,6,7},{2,5,8},{3},{4}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,7},{2,5,6,8},{3},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,7},{2,6,8},{3},{4,5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,3,6,8},{4},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,8},{3,6},{4},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,6},{3},{4,5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,5,6},{3},{4,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,5},{3},{4,6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7,8},{2,5},{3},{4,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,4},{3,6,7},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7,8},{2,4},{3,6},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,3,7},{5,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,7},{4,5,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,6,7},{4,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,6},{4,7,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,4,7,8},{3},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,7},{2,4,8},{3},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,4,5,8},{3},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,7},{2,5,8},{3,4},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,3,5,8},{4},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,7},{3},{4,6},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2},{3,4,6},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2},{3,6},{4,5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2},{3,5,6},{4,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,7},{2},{3,5},{4,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2},{3,5},{4,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2},{3,7,8},{4,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2},{3,8},{4,6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,6},{2},{3,8},{4,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2},{3,8},{4,5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2},{3,4,8},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,6},{3},{4,8},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,6,8},{3},{4,7},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,6,8},{2,3},{4,7},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,8},{2},{3,7},{4,5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,6,8},{2},{3,7},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5,8},{2},{3,6,7},{4}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2},{3},{4},{5},{6},{7},{8},{9}} => [1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,2,1] => 0
{{1},{2},{3},{4},{5},{6},{7},{8,9}} => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
{{1},{2},{3},{4},{5},{6},{7,9},{8}} => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
{{1},{2},{3},{4},{5},{6,9},{7},{8}} => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
{{1},{2},{3},{4},{5,9},{6},{7},{8}} => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
{{1},{2},{3},{4,9},{5},{6},{7},{8}} => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
{{1},{2},{3,9},{4},{5},{6},{7},{8}} => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
{{1},{2,9},{3},{4},{5},{6},{7},{8}} => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
{{1,9},{2},{3},{4},{5},{6},{7},{8}} => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => [1,1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,2,1] => 0
{{1},{2},{3},{4},{5},{6},{7},{8},{9,10}} => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
{{1},{2},{3},{4},{5},{6},{7,8,9}} => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 3
{{1},{2},{3},{4},{5},{6},{7},{8,10},{9}} => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
{{1},{2},{3},{4},{5},{6,9},{7,8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1},{2},{3},{4},{5},{6},{7,10},{8},{9}} => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
{{1},{2},{3},{4},{5,9},{6,7},{8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1},{2},{3},{4},{5},{6,10},{7},{8},{9}} => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
{{1},{2},{3},{4,9},{5,6},{7},{8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1},{2},{3},{4},{5,10},{6},{7},{8},{9}} => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
{{1},{2},{3,9},{4,5},{6},{7},{8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1},{2},{3},{4,10},{5},{6},{7},{8},{9}} => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
{{1},{2,9},{3,4},{5},{6},{7},{8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1},{2},{3,10},{4},{5},{6},{7},{8},{9}} => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
{{1,9},{2,3},{4},{5},{6},{7},{8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1},{2,10},{3},{4},{5},{6},{7},{8},{9}} => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
{{1,10},{2},{3},{4},{5},{6},{7},{8},{9}} => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
{{1,2,3,4,5,6,7,8},{9}} => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => 28
{{1},{2,3,4,5,6,7,8,9}} => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => 28
{{1,2,3,4,5,6,7,8,9},{10}} => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 36
{{1,2,3,4,5,6,8},{7},{9}} => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 21
{{1},{2,3,4,5,6,7,9},{8}} => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 21
{{1},{2,3,4,5,6,7,8,9,10}} => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 36
{{1,2,3,4,5,6,7,9},{8},{10}} => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 28
{{1,2,3,4,5,8},{6,7},{9}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1,2,3,4,5,7,8},{6},{9}} => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 21
{{1},{2,3,4,5,6,9},{7,8}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1},{2,3,4,5,6,8,9},{7}} => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 21
{{1},{2,3,4,5,6,7,8,10},{9}} => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 28
{{1,4,6,8},{2},{3,5},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5,7},{2,3},{4,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,8},{2},{3,6},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,8},{2},{4,6},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,7,8},{2},{3,6},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,6,7},{2},{3,5},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,8},{2},{3,7},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,8},{2},{3,7},{4,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,8},{2},{3,6},{4,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,7},{2,3},{5,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,5,8},{4,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,4,7,8},{3},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3},{2,4,8},{5,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,5,8},{4,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,4},{3,5,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,6},{3,5,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,5,6},{3,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,6,7},{3,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,5},{3,6},{4},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,4},{3,7},{5,6},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,4},{2,7},{5,6},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,7},{2,8},{3},{4,5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,6},{2,3},{4,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,6},{2,3},{5,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,3,6},{5,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,3,7},{5},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,4},{3,7},{5},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,4},{2,7},{5},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,6},{3},{4},{5,7,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,7},{2,3,4},{5},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,4},{3,6,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,7},{3,6,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,6},{3,5,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,4},{3,5,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,7,8},{3},{4,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,4},{3,5,6},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,5},{3,7,8},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,6},{3,7,8},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,8},{3,6,7},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,4,5,6,7,8}} => [6,2] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 16
{{1,4},{2,3,5,6,7,8}} => [6,2] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 16
{{1,5},{2,3,4,6,7,8}} => [6,2] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 16
{{1,4},{2,6},{3,5,7,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,5},{2,6},{3,4,7,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,5},{2,4,6,8},{3,7}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,4,5,8},{2,3,6,7}} => [4,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 12
{{1,4},{2},{3,5,6},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,5},{2},{3,6},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2},{3,4,6},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2},{3,4,7,8},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5},{2},{3,4,7,8},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,5},{2},{3,8},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,7},{2},{3,4,8},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,7},{2},{3,4,8},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,6,7},{2},{3,8},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,6},{2},{3,7,8},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,6},{2},{4},{5,7,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2},{3,6},{4},{5,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2},{3,5,7,8},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,6},{2,4},{3},{5,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,7},{2,3},{4},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,4},{3},{5,6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,7},{2,4},{3},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,6,7},{4},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,6,7},{2},{4},{5,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,7},{2},{4},{5,6,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2},{3,7},{4},{5,6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,7},{2},{3,8},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,4,5},{3},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,4,5},{3,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,4},{3,5,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,8},{2,3},{4,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,5},{3,4,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,8},{2},{3,5,6},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4},{2},{3,6,8},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,7},{2,3},{4},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,6},{2},{3},{5,7,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,5,6},{3,7},{4,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,5,6},{3},{4,7,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,5},{3,7},{4,6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2},{3,6,7},{4,5,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,3,6,7},{4},{5,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,3,6},{4,8},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2},{3,4,6,8},{5,7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2},{3,6},{4,5,7,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,5},{3},{4,6,7,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,5},{3,6},{4,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,5},{3,6,7},{4,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2},{3,5,6,7},{4,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2},{3,5,6},{4,7,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2},{3,5},{4,6,7,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,4,8},{3,5},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4},{3,6,8},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4,7},{3,6},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,8},{4,5,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,4,7,8},{5},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,7},{2,3,4,8},{5},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,4,7},{3},{5,6,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,7},{2},{3,4,5},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,7},{4,8},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2},{3,7},{4,5,6,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2},{3,5,7},{4,6,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,6},{3,5},{4,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,6},{3,5,7},{4,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2},{3,6,7},{4,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2},{3,6},{4,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2},{3},{4,6,7,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,6},{3},{4,5,7,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,6},{2},{3,4},{5,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,6},{3},{4,7,8},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,6},{2},{3,4,7},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,6},{3,7},{4,5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2},{3,7},{4,6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,6},{3},{4,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,6},{2,5},{4},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,4,6},{3},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,5},{2,6},{3},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,8},{2,7},{3,4},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,5},{2,8},{3},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,7},{2,8},{3,5},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,8},{3},{4,5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,5,8},{3},{4,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,4,5,8},{3},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5},{2,7},{3},{4,6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,5},{3,6,8},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,6},{3,5,7},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,8},{2,3},{4,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,3},{4,6,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,7},{2,3},{4,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,5,6},{3,7},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,8},{2,6},{4},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,7},{2,5},{3,8},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,6,7},{3},{4,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,8},{2,7},{4,5},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,6},{2,4,8},{3},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,5,6},{2,8},{3},{4,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,7},{2},{3,6,8},{4}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,5},{2},{3,6,8},{4,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,8},{2,5},{3},{4,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,6,8},{3},{4,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,7},{2,6},{3},{4,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,5,7},{3},{4,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,7},{2},{3,6},{4,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,7},{2},{3,8},{4,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,6},{2},{3,7},{4,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,8},{2,6},{3},{4,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,5,8},{3,6},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,5,8},{3},{4,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,5,6},{3},{4,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,7},{2,5},{3},{4,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,5},{3},{4,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,6},{2,7},{3},{4,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,8},{2,7},{3},{4,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,5,8},{3,7},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,6},{2,8},{3,7},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,8},{3,6,7},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,7,8},{3,6},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,5},{3,6,7},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,5,7},{3},{4,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,7},{2,8},{3,6},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,7},{3,6,8},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,5},{3},{4,6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,8},{2,5},{3,7},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,6,8},{3,7},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,5,7},{3,8},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,7},{2,8},{3},{4,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,8},{3},{4,6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,7,8},{3,5},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,8},{3,5,6},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,5,6},{3,8},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,6,7},{3,8},{4}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,8},{2,4,6},{5},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,8},{2,3,5},{4,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,4,6},{3,5},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,8},{3,4,5},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,7},{3,8},{4,5},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,5},{2},{4,6},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,6},{2},{4,7,8},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,6},{2},{3,7,8},{4,5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,7},{2},{3,8},{4,5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,6,7},{2},{4,8},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,8},{2},{3,6,7},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,5,6},{2},{3,4,8},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,6},{2},{3,5,7,8},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,6,7},{2},{3,5,8},{4}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4},{2,6,8},{3},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,4,6},{3},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2},{3,6,8},{4,5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,8},{2},{3,5,7},{4}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4},{2},{3,5,7},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,5,7},{4},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,8},{2},{3,4,7},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2},{3,4,7},{5},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,5},{3},{4,7},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,5,8},{3},{4,7},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2},{3,4,7},{5,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,5},{4,6,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,6},{3},{4,7},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,7},{2,6},{4},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,6},{3,7},{4},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,5},{3},{4,6,8},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,5},{3},{4,6},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,5,6},{4,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,8},{4,5,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,5},{2,8},{4,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,6},{3,8},{4,5},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,4,7},{3},{5,8},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,7},{2,5},{4},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,7},{3,4},{5},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,4,7},{3},{5},{6,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,4},{3},{5,7},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,4},{5,6,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,4,7},{5},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,5,8},{3,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,3,4},{5,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,4,7},{5,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,4,6},{5},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,4},{2,8},{5,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,3,4,8},{5},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4},{2,5,6},{3,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,6},{2,8},{3,5},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,8},{3,4,5},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,5,7},{3},{4},{6,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,5,8},{3},{4,6},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,6},{2,8},{4,5},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,6},{2},{3,5},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3,5,8},{4,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,5,7},{4},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,7},{3,5},{4},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,7},{2,4},{5},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,4,7},{5},{6,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4},{2,5,7},{3},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,4,6},{5,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,4},{5,7},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4,5},{3,7},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,5},{4,7},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,5},{4,6},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,5,8},{3,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4,5},{3,6},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,3,4,5},{6,7,8,9,10}} => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [6,7,8,9,10,1,2,3,4,5] => 20
{{1,6},{2,4},{3,7,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,6},{2,3,4,7,8}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,5,7},{2,4,6,8},{3}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,5,6},{2,3,4,8},{7}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,5},{2,3},{4,7,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,4},{3,5,7,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,6},{2,5},{3,4,7,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,3,7},{2},{4,8},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,6},{2},{4,7},{5},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,3},{2},{4,7},{5,8},{6}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,4,7},{3},{5,8},{6}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,7},{3,4,5,8},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,6},{2,3,4,7},{5},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,8},{2,6,7},{3},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,6},{2,8},{3},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,4},{3,5,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,8},{2,3,7},{4},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,5,8},{3,7},{4},{6}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,7},{3,5,8},{4,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,4,7},{3,5},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,5},{3,4,6},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,8},{3,6},{4,5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,3,7},{4,5},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,7},{3,4,8},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,6,8},{3,4},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,5,7},{3},{6},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,4},{2,5},{3},{6,8},{7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,5},{2,3,6,8},{4},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,5},{3,6,8},{4},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,5,6,7},{3,8},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,8},{3,5},{4,6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,6,7},{3,4,8},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,5,6},{2,3,7},{4},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,6},{3,7},{4,8},{5}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,6},{3,7},{4},{5},{8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,6,7},{2,3,8},{4},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,4,6},{3,5,7},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,6},{2},{3,5,8},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,6},{2},{3,8},{4},{5},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,5},{2},{3},{4,8},{6},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,7},{2},{3,4},{5,6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,8},{2},{3,4},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,7},{3},{4,5,8},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,6,7},{2},{3,4},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2},{3,4,6},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4,8},{3,7},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,8},{2,7},{4},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,7,8},{4},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4},{3,7,8},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,6,8},{4},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,6,8},{3,4},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,8},{2,3},{4},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,6,7},{3,4},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,6,8},{4,7},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,6,8},{2},{4,7},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,7},{2,6},{3},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,8},{2,4,7},{3},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,5,7},{2},{3},{6,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,4},{2},{5,7},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,4},{5,7,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,5,6},{3},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,6,7,8},{3},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5},{2},{3,6,7,8},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,5,8},{2},{3,7},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5},{2,4,6},{3,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,5},{2},{3,7},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4,7},{3,8},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,3,8},{4},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,6},{3,4,8},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3},{4,5,7},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3},{4,6,8},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,5,6},{4,7},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,3,5,7},{4,8},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,3,7},{4,6},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,6},{4,7},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,5,8},{4,6,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,5},{2},{3,4,6,7},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5},{2,6,7},{3,4},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,5,7,8},{4,6}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,4,5,7},{2},{3,6},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4},{2},{3,5,6,8},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,8},{2},{3,5,7},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,8},{2,5,7},{4},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3},{2,5,6,8},{4},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,7},{2,6},{4,5},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,8},{2,4,7},{3},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,6,8},{2,4},{3},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,8},{2,6},{3},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2},{3,4,6,8},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,7},{3,4,5},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,6},{3,4,5,8},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,6},{2},{3,4,5,7},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,6},{2,7},{3,4,5},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,4},{3,5,6,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,4},{2,7},{3,5,6,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,4,8},{2,6},{3,5,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,6,8},{2,4},{3,5,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,3,8},{2,5,7},{4,6}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,5},{2,7},{3,4,6},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4,8},{3,5,6},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,6},{2,4,5},{3,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,5,7},{3,8},{4},{6}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,7},{3,5,6},{4,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,5,8},{3,6,7},{4}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,7},{2,5,6},{3},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,6,8},{3,4,7},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,5,7},{2,3,6},{4},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3},{2,6},{4,5,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,6},{2,3,8},{5},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4},{2,3,8},{5,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,5},{4,8},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,5},{2},{4,8},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,6,7},{2},{3,4,8}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,5},{3},{4,8},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,5},{3},{4,8},{6,7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,5,8},{2,4},{3,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,7},{3,5,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,4,6},{3,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,3,5},{4,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,6},{2,7},{3},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,5},{3,8},{4,6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,7},{4,8},{5},{6}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,4,7},{2,3},{5},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4},{3,7,8},{5},{6}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,5,7},{3,4,8},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,5,6},{2,4},{3,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4},{3,5},{6,7},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,4,8},{3,5},{6},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,4,6},{3,5},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,5},{3,6},{4},{7,8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,5,7},{3,6,8},{4}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,5,7},{3,8},{4,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2,4},{3,5,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,7},{2,4},{3,5},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,5},{3,6},{4,7},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,5},{3,6,8},{4,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,6,7},{4,8},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,5,8},{2},{4,7},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5,6},{2},{3,7,8},{4}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,7},{2},{3,5,8},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4},{2,6,8},{3,7},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,3,7,8},{4},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,3,6,8},{4},{5,7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2},{3},{4,6},{5,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,5,6,8},{3},{4,7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2},{3,5,6,8},{4,7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,4,5,7},{3,8},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2},{3,4,6,7},{5,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,6},{3,7,8},{4,5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,6,7},{3,5},{4,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2},{3,6,8},{4,5,7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,3},{4,7},{5,6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7,8},{2,4},{3,5},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,6,8},{2},{3},{5,7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,4,6},{3,7,8},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3},{2},{4,6},{5,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4,6,7},{3},{5,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,5},{3,7,8},{4,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,7},{2},{3,6,8},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3},{2,4,5},{6,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,8},{4,6,7},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,4,5},{6,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,7,8},{3},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,3,7,8},{5},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,8},{2,4},{5},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,8},{2},{3},{4,5,7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,5},{2,3,7},{4,6},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,3,6,7},{5},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,6},{2,3,7},{5},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,6},{2,4,5,7},{3},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,7},{2,4,5},{3,6},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,6,7},{2},{3},{4,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5,7},{2,6},{3,4},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,6,7},{3,5,8},{4}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3},{2},{4,6,7},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,5,8},{3,4,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,3,6,7},{2,4,5,8}} => [4,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 12
{{1},{2,8},{3,5,6},{4,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,5,6,7},{3},{4,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,6},{2,7,8},{3,4},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,7},{3,4,6,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,7},{2},{3,8},{4,5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,4,5},{3,6,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1},{2,6,8},{3,7},{4,5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4,5,8},{3,7},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,4,5},{3,7,8},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,6},{3,8},{4,5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,5,6},{2},{3,8},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,5,6},{2},{4,8},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,4,6,7},{3,8},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5},{2,7,8},{3,4},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,5},{2},{4,7,8},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3},{2,5},{4,7,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,6},{3},{4,5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,7,8},{4,6},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,5},{2,8},{3,7},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,6},{2,4},{5},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,6},{2},{4,5,8},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2},{3,5},{4,7,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,4,7},{5,8},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,8},{2,5,7},{3},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,3,4,6},{5,8},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,4,5,8},{3,6},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,6},{2},{3,4,5,8},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,4},{3,6},{5,8},{7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,3},{2},{4,6},{5,8},{7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,3},{2,5},{4},{6,8},{7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,4,5,6},{3,8},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,6},{3,5},{4,8},{7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,5},{2,4},{3,7},{6},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,5},{2,4,6,7},{3},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,6},{3,5,7,8},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,8},{3,5},{4,7},{6}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,7},{2,4},{3,6},{5},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,5,7,8},{3,6},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5,6},{2,4,7},{3},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3},{2,5,6,7},{4},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3},{2,6,7,8},{4},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,4},{3,6,7,8},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,4},{3,8},{5,7},{6}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,3},{2,7},{4,6},{5},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,4,7},{3,6,8},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,7},{2,3,5},{6},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,7},{2,3,6},{5},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,5},{2,3,6,7},{4},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4},{2,3,7},{5,6},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,5,8},{3,4,6},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,5,7},{3,4,6},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,3,6},{4,5,7},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,6},{2,3},{4,5,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3,6},{2},{4,5,7},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4},{2,3,5},{6,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,5,7},{3,4},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,3,5},{6,8},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,6},{4,5,8},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,5,8},{3,4,7},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,3,7},{4,6,8},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,3,7},{4,5,8},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,8},{2},{3,5},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,8},{2},{3,5},{4,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,3,5,8},{6},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,6,8},{3},{4},{5,7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2},{3,6,8},{4},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3},{4},{5},{6},{7},{8},{9}} => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
{{1,3},{2},{4},{5},{6},{7},{8},{9}} => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
{{1,4},{2},{3},{5},{6},{7},{8},{9}} => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
{{1,5},{2},{3},{4},{6},{7},{8},{9}} => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
{{1,6},{2},{3},{4},{5},{7},{8},{9}} => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
{{1,7},{2},{3},{4},{5},{6},{8},{9}} => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
{{1,8},{2},{3},{4},{5},{6},{7},{9}} => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
{{1,2},{3},{4},{5},{6},{7},{8},{9},{10}} => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
{{1,2,3},{4},{5},{6},{7},{8},{9}} => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 3
{{1,3},{2},{4},{5},{6},{7},{8},{9},{10}} => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
{{1,3,4},{2},{5},{6},{7},{8},{9}} => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 3
{{1,4},{2},{3},{5},{6},{7},{8},{9},{10}} => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
{{1,5},{2},{3},{4},{6},{7},{8},{9},{10}} => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
{{1,6},{2},{3},{4},{5},{7},{8},{9},{10}} => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
{{1,7},{2},{3},{4},{5},{6},{8},{9},{10}} => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
{{1,8},{2},{3},{4},{5},{6},{7},{9},{10}} => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
{{1,8,9},{2},{3},{4},{5},{6},{7}} => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 3
{{1,9},{2},{3},{4},{5},{6},{7},{8},{10}} => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
{{1,8},{2},{3,6},{4,5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2},{3,5,6},{4,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,8},{2},{3,4,6},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3},{2,4,8},{5},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,6},{3,4,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,4},{3,6,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,3,6},{4,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,3,4,6},{7},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5,7},{2,3},{4,6},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,4},{3,8},{5,6},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,3,4,5,6,7,8,9}} => [9] => [[1,2,3,4,5,6,7,8,9]] => [1,2,3,4,5,6,7,8,9] => 36
{{1,2,3,4,5,6,7},{8,9}} => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 22
{{1,2,3,4,5,6,7},{8},{9}} => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 21
{{1,2,3,4,5,6},{7,8,9}} => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 18
{{1,2,3,4,5,6},{7,8},{9}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1,2,3,4,5,6},{7},{8},{9}} => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 15
{{1,2,3,4,5},{6,7,8,9}} => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 16
{{1,2,3,4,5},{6,7,8},{9}} => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [9,6,7,8,1,2,3,4,5] => 13
{{1,2,3,4,5},{6},{7},{8},{9}} => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5] => 10
{{1,2,3,4},{5},{6},{7},{8},{9}} => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => 6
{{1,2,3,4,5,6,7,8,9,10}} => [10] => [[1,2,3,4,5,6,7,8,9,10]] => [1,2,3,4,5,6,7,8,9,10] => 45
{{1,2,3,4,5,6,7,8},{9,10}} => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 29
{{1,2,3,4,5,6,7,8},{9},{10}} => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 28
{{1,2,3,4,5,6,7},{8,9,10}} => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [8,9,10,1,2,3,4,5,6,7] => 24
{{1,2,3,4,5,6,7},{8,9},{10}} => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => 22
{{1,2,3,4,5,6,7},{8},{9},{10}} => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 21
{{1,2,3,4,5,6},{7,8,9,10}} => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 21
{{1,2,3,4,5,6},{7},{8},{9},{10}} => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => 15
{{1,2,3,4,5},{6},{7},{8},{9},{10}} => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,1,2,3,4,5] => 10
{{1,2,3,4},{5},{6},{7},{8},{9},{10}} => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,1,2,3,4] => 6
{{1,2,3},{4},{5},{6},{7},{8},{9},{10}} => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,1,2,3] => 3
{{1,4},{2,3},{5},{6},{7},{8},{9}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,5},{2},{3,4},{6},{7},{8},{9}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,6},{2},{3},{4,5},{7},{8},{9}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,7},{2},{3},{4},{5,6},{8},{9}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,8},{2},{3},{4},{5},{6,7},{9}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,9},{2},{3},{4},{5},{6},{7,8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,2,3},{4,7},{5},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,5},{3},{4,6,7},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,7},{3},{4,8},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,5},{3,8},{4},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,5,7,8},{3},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,6},{3},{4,5,7},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,5,6},{3},{4,7},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,6},{3,4,7,8},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3},{2},{4,7},{5,6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2},{3,6,7,8},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,3,7},{4},{5,6,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,3,6},{4},{5,7,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,3},{4,6,7},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3},{4,6},{5,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,6},{3,7,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,5,6},{4,8},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,3,5},{4,7,8},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,5},{3,4,7,8},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,7},{2},{3,6},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4,8},{3,6,7},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,3,6},{4,7,8},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,5,7},{2,3,6,8}} => [4,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 12
{{1,5},{2,3,7},{4,6,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,5},{2,3,6,8},{4,7}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1},{2,5},{3,4,7},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,6,8},{3,4,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,5,7},{2,6},{3,4,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,6},{2,5,7},{3,4,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,5,7},{2,3,6},{4,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,5,7},{2,3,8},{4,6}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1},{2,7},{3,6},{4,5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,4,5,8},{3,6}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,7},{2,5,8},{3,4,6}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,6},{2,5},{3,4,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,4,5,8},{3,7}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,4,5},{2,7},{3,6},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4,5,7},{3,6},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,5,7},{2,8},{3,6}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,4,5},{2,7},{3,6,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,7},{2,5},{3,4,6,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1},{2,6},{3,4,5,7},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,7},{3,6,8},{4,5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,4,5,7},{3,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,5,7},{2,8},{3,4,6}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,3,6},{2,7},{4,5},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,6,8},{3},{4,7},{5}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,3},{2},{4,7},{5},{6,8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,3,4,7},{2},{5},{6,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4},{2},{3,5},{6,8},{7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,5,7},{2},{3,6},{4},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,7},{3,5},{4},{6,8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,6},{2,4},{3},{5,7},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,7},{3,5,6,8},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,8},{3,6},{4},{5,7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,7},{2,5},{3},{4,6},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,7},{3,4,6,8},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,6},{2,3,5,7},{4},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,5,8},{2},{3,6},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,4,6},{2},{5,8},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,6},{3},{4,8},{5,7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,5},{2},{3,7},{4,6},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,6},{3,5,8},{4,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,4,7},{3,6},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,5},{3,4,6,8},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4},{2,3,5,7},{6},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,5,6,8},{3,7},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,7},{3,5},{4,6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5},{2,3,7},{4},{6},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,5},{2,3,8},{4},{6},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,5,8},{2,3,6},{4},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,6},{2,3,8},{4},{5},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,6},{2,4,8},{3},{5},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,6,8},{2,3,7},{4},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,6},{2,3},{4,7},{5},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,6},{2,3},{4,7,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,3},{4,8},{5},{6}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,7},{2,4},{3,8},{5},{6}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,5},{2},{3,4,7},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4},{3,5,7},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,5},{3},{4,8},{6}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,5,8},{2,4,6},{3},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,8},{2,3,5},{6},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,4},{3,5,7},{6},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,4},{3,5,8},{6},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,4,7},{3,5,6},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,7},{2,3,5},{4},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4,5},{3,8},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,8},{4,6},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4,5,7},{3},{6,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,7},{2},{4,5},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4,7},{3,5,8},{6}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2},{3,5,7,8},{4,6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2},{3,5,8},{4,6,7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,5,7},{3,6},{4,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,7,8},{2},{3},{4,6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,5,7,8},{3},{4,6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,4,5,6,7,8,9},{2}} => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => 28
{{1,7,8,9},{2},{3},{4},{5},{6}} => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => 6
{{1,3,4,5,6,7,8,9,10},{2}} => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 36
{{1,8,9,10},{2},{3},{4},{5},{6},{7}} => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,1,2,3,4] => 6
{{1,9,10},{2},{3},{4},{5},{6},{7},{8}} => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,1,2,3] => 3
{{1,5,6,7},{2},{3,8},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,7,8},{2},{3,5},{4,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,6,8},{2},{3},{4,7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,4,5,6,7,8,9},{3}} => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 21
{{1,3,4,5,6,7,8},{2},{9}} => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 21
{{1},{2,4,5,6,7,8,9,10},{3}} => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 28
{{1},{2,5,6,7,8,9},{3,4}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1,4,5,6,7,8},{2,3},{9}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1,3,4,5,6,7,8,9},{2},{10}} => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 28
{{1},{2,3,5},{4,6,7,8}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1},{2,3,5},{4,6,8},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2},{3,4,5,6,7,8,9,10}} => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 29
{{1,2,3,4},{5,6,7,8,9,10}} => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => [7,8,9,10,1,2,3,4,5,6] => 21
{{1,3},{2,5,6},{4},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,5},{3,7,8},{6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2},{3,7},{4,5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2},{3,5},{4,6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,5,7,8},{4},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,7},{2},{3,5,6,8},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,6},{2},{3,5,7},{4,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2},{3,5,7},{4,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,6},{2,3,5},{7},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,5,8},{2},{3},{4,6,7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,5,6},{2},{3,4,7},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,6},{2,4,5},{7},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2},{3},{4},{5},{6,7},{8,9}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1},{2,3,7},{4,5},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2},{4,5,7},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3},{4,5,7},{6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2},{3,4,6},{5,7,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2},{3,4,7},{5,6,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2},{3},{4,6,8},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3},{4,6,7},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,4},{5},{6,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,5},{3},{6,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,5},{4},{6,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,7},{2,8},{3},{4,5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,8},{3},{5,6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,6,7},{3},{4,5,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,8},{2,5,6},{3},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,6,8},{2,7},{3,4},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6,7},{2,4},{3,8},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2},{3,5},{6,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,4,8},{3,6},{5,10},{7},{9}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,6},{2,7},{3},{4,5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,4,6},{5,7},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,7,8},{3,5},{4,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,5,6},{2,7},{3,4},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2,7,8},{3},{4,5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,8},{2},{3,5},{4,6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,6},{2},{3,5,8},{4,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,3,8,9},{4},{5},{6},{7}} => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5] => 10
{{1,2,3,9},{4,5},{6},{7},{8}} => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [9,8,7,5,6,1,2,3,4] => 7
{{1,2,3,4,9,10},{5},{6},{7},{8}} => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => 15
{{1,2,3,4,8,9},{5},{6},{7}} => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 15
{{1,2,3,4,9},{5,6},{7},{8}} => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [9,8,6,7,1,2,3,4,5] => 11
{{1,2,3,4,10},{5,6},{7},{8},{9}} => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,1,2,3,4,5] => 11
{{1,2,3,9,10},{4},{5},{6},{7},{8}} => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,1,2,3,4,5] => 10
{{1,2,8,9},{3,7},{4},{5},{6}} => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [9,8,7,5,6,1,2,3,4] => 7
{{1,2,4,8,9},{3},{5},{6},{7}} => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5] => 10
{{1,2,9},{3,8},{4,5},{6},{7}} => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => [9,8,6,7,4,5,1,2,3] => 5
{{1,2,5,9},{3,4},{6},{7},{8}} => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [9,8,7,5,6,1,2,3,4] => 7
{{1,2,3,10},{4,5},{6},{7},{8},{9}} => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [10,9,8,7,5,6,1,2,3,4] => 7
{{1},{2,6,8},{3},{4,5,7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,6,7},{3,8},{4,5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,5,6},{3,8},{4,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,9},{2,3,4,5,6,7,8}} => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 22
{{1,8},{2,3,4,5,6,7},{9}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1,7},{2,3,4,5,6},{8},{9}} => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [9,8,6,7,1,2,3,4,5] => 11
{{1,6},{2,3,4,5},{7},{8},{9}} => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [9,8,7,5,6,1,2,3,4] => 7
{{1,5},{2,3,4},{6},{7},{8},{9}} => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [9,8,7,6,4,5,1,2,3] => 4
{{1,3,8},{2,6,7},{4},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,7},{3,6},{4},{5,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,8},{3},{4,6},{5,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,10},{2,3,4,5,6,7,8,9}} => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 29
{{1,9},{2,3,4,5,6,8},{7}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1,10},{2,3,4,5,6,7,9},{8}} => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => 22
{{1,9},{2,3,4,5,8},{6,7}} => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [8,9,6,7,1,2,3,4,5] => 12
{{1,9},{2,3,4,5,7,8},{6}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1,3},{2,5,6},{4,7},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,3},{2,7},{4,5,6},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,5,8},{3},{4,6,7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4},{2,6,7},{3,5},{8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,7,8},{3,6},{5}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,4,5},{3,6,7},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,4,5},{3,6,8},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,5,6},{3,7,8},{4}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,4},{3,5,6},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,6},{2,3,8},{5,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,4},{2},{3,5,6,7},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,6},{2,7},{4,5,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,9},{2,8},{3,7},{4,6},{5},{10}} => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,3,4,1,2] => 4
{{1},{2,10},{3,9},{4,8},{5,7},{6}} => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,3,4,1,2] => 4
{{1,4,6},{2,3,5,7,8}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,2,4,6},{3},{5,7,8}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1},{2,4,6,7,8},{3,5}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,6},{3,4,5,7,8}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1},{2,3,5,8},{4,7},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,3,4,5,6,7,9},{8}} => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => 28
{{1,2,3,4,5,6,7,8,10},{9}} => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 36
{{1,2},{3,4,5,6,7,8},{9}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1,3,4,5,6,7,9},{2},{8}} => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 21
{{1,5,7,8},{2,3,4,6}} => [4,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 12
{{1,3,6,8},{2,4,5,7}} => [4,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 12
{{1,2,6,8},{3,4,5,7}} => [4,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 12
{{1,6},{2,3,4,5,7,8}} => [6,2] => [[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => 16
{{1,2,6},{3,4,5,8},{7}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,4,8},{2,3,5,6},{7}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,5},{2,3,4,8},{6,7}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,4,8},{2,3,5},{6,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2,4},{3,5,6,7,8}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,5,8},{2,3,4,6,7}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,3,4},{2,5,6,7,8}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,4,6,7},{2,3,8},{5}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,3,8},{2,4,6,7},{5}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,3,5},{2,8},{4,6,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,4,7,8},{2,3,6},{5}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,6},{2,3,5},{4,7,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2,6},{3,5},{4,7,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2,5},{3,6},{4,7,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,5},{2,3,6},{4,7,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,4,7,8},{2,6},{3,5}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,7,8},{2,3,5},{4,6}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,7,8},{2,5},{3,4,6}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,7,8},{2,4,6},{3,5}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,4,8},{2,3,5,7},{6}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,5},{3,4,6,7,8}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1},{2},{3},{4},{5},{6,9},{7},{8},{10}} => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
{{1,8},{2,3},{4},{5},{6},{7},{9}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,2},{3},{4},{5},{6},{7},{8,9}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,3,4,5,6,7},{2,9},{8}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1,2,3,4,5,7},{6,8},{9}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1,3,4,5,6,8},{2,9},{7}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1,3,4,5,6,9},{2,8},{7}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1,3,4,5,6,7,8},{2,10},{9}} => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => 22
{{1,2},{3,4,5,6,7,8,9}} => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 22
{{1,2,3},{4,5,6,7,8,9}} => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 18
{{1,2,3,4},{5,6,7,8,9}} => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => [6,7,8,9,1,2,3,4,5] => 16
{{1},{2},{3,4,5,6,7,8,9}} => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 21
{{1,2},{3,5,6,7,8,9},{4}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1,2,4,5,6,7},{3},{8,9}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1,2,3},{4,5,6,7,8,9,10}} => [7,3] => [[1,2,3,4,5,6,7],[8,9,10]] => [8,9,10,1,2,3,4,5,6,7] => 24
{{1,2,3},{4,5,7,8,9},{6}} => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [9,6,7,8,1,2,3,4,5] => 13
{{1,2,3,5,6},{4},{7,8,9}} => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [9,6,7,8,1,2,3,4,5] => 13
{{1,2,3,4},{5,6,7,9},{8}} => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [9,5,6,7,8,1,2,3,4] => 12
{{1},{2},{3},{4},{5,7},{6,8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2},{3},{4,6},{5,8},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2},{3,5},{4,8},{6},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2,4},{3,8},{5},{6},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2},{3},{4},{5},{6,8},{7,9}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1},{2},{3},{4,7},{5,8},{6}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2},{3},{4},{5,7},{6,9},{8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1},{2},{3,6},{4,8},{5},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2},{3},{4,6,7},{5,8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2},{3},{4,6},{5,9},{7},{8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1},{2,5},{3,8},{4},{6},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2},{3,5,6},{4,8},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2},{3,5},{4,9},{6},{7},{8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1},{2,4,5},{3,8},{6},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,4},{3,9},{5},{6},{7},{8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,3},{2,9},{4},{5},{6},{7},{8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,4,6,7,8},{2,3,5}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,3,6,7,8},{2,4,5}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,3,5},{2,6},{4,7,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,4,5,7,8},{2,3,6}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,3,7},{2,4,5,8},{6}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,5,8},{2,4,6},{3,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2,5,8},{3,4,6,7}} => [4,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 12
{{1},{2,3,5,7},{4,6},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,3,4,5,7},{6,8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1},{2,3,5,8},{4,6,7}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,3},{2,6,8},{4,5},{7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4,6,7},{2},{3},{5,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,7,8},{2},{3,5},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,4,7,8},{3,5},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,4,7,8},{3,6},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4},{2},{3,7,8},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1},{2,3,4,6,8},{5,7}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1},{2,3,4,5,6,8},{7,9}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1,5,6},{2,3},{4,7,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2,3,9},{4},{5},{6},{7},{8}} => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => 6
{{1,2,9},{3},{4},{5},{6},{7},{8}} => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 3
{{1,2,3,10},{4},{5},{6},{7},{8},{9}} => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,1,2,3,4] => 6
{{1,3},{2,4,5,6,8},{7}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,6,7},{2,3,4,5,8}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,7},{2,3,4},{5,6,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,4,5},{2,3,7,8},{6}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,4,6,8},{2,3,5,7}} => [4,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 12
{{1,4,8},{2,3,6,7},{5}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,3,7},{2,6},{4,5,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2,6},{3,7},{4,5,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2},{3,4,6},{5,7,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2,3},{4,7},{5,6,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,5},{2,6,7,8},{3,4}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,7},{2,6,8},{3,4,5}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2,6},{3,5,7,8},{4}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1},{2,3,6},{4,5,7,8}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,7,8},{2,4},{3,5,6}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1},{2,3,9},{4},{5},{6},{7},{8}} => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 3
{{1,2,3,4,5,6,8,9},{7}} => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => 28
{{1,2,4,5,6,7,8,9},{3}} => [8,1] => [[1,2,3,4,5,6,7,8],[9]] => [9,1,2,3,4,5,6,7,8] => 28
{{1,2,3,4,5,6,7,9,10},{8}} => [9,1] => [[1,2,3,4,5,6,7,8,9],[10]] => [10,1,2,3,4,5,6,7,8,9] => 36
{{1,2},{3,5},{4},{6},{7},{8},{9}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,9},{2,4},{3},{5},{6},{7},{8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,9},{2},{3,4},{5},{6},{7},{8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,10},{2,3},{4},{5},{6},{7},{8},{9}} => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,4,1,2] => 2
{{1,3},{2,5,8},{4},{6,7}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,9},{2,8},{3},{4},{5},{6},{7}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,3,9},{2},{4},{5},{6},{7},{8}} => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 3
{{1,10},{2,9},{3},{4},{5},{6},{7},{8}} => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,4,1,2] => 2
{{1},{2,9},{3,8},{4},{5},{6},{7}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,2,7},{3},{4},{5},{6},{8,9}} => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [9,8,7,6,4,5,1,2,3] => 4
{{1,2},{3,4,9},{5},{6},{7},{8}} => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [9,8,7,6,4,5,1,2,3] => 4
{{1,3,8},{2},{4},{5},{6},{7},{9}} => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 3
{{1,3,10},{2},{4},{5},{6},{7},{8},{9}} => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,1,2,3] => 3
{{1},{2,4},{3,5,6,7,8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,5,6},{2},{3},{4,7,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,3,5},{2},{4,6},{7},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,3,7},{2},{4},{5},{6,8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,3,6},{2},{4},{5,8},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2},{3,7},{4,8},{5},{6}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,7},{2},{3},{4},{5},{6,8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,6},{2},{3},{4},{5,8},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,4},{2,6},{3},{5,8},{7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,5},{2,6},{3},{4,8},{7}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,5,7},{2},{3},{4},{6,8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,5},{2},{3},{4,6},{7},{8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,4},{2},{3,6},{5},{7},{8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1},{2,5},{3,6},{4},{7},{8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,4,6},{2},{3,5,7},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,6},{2},{3},{4,7},{5},{8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,6},{2},{3},{4,7},{5,8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,5},{2},{3},{4,7},{6,8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,5,7},{2},{3},{4,6},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,4,7},{2},{3,6},{5},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,4},{2},{3,7},{5},{6,8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,5},{2},{3,7},{4,8},{6}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,5},{2},{3,7},{4},{6},{8}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,7},{2,5},{3,6},{4},{8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,6},{3},{4,8},{5},{7}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,5},{2,3,4,8},{6},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,5},{2,3,8},{6},{7}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,8},{2,3,4,6},{5,7}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,7},{2,3},{4,5,6,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,7},{2,3,5,6},{4,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,4,7,8},{2,3,5,6}} => [4,4] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => 12
{{1,5,7,8},{2,3},{4,6}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,5,6,8},{2,3},{4,7}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,5},{2},{3,4,6,8},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,6},{2},{3},{4,5,7,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4},{2,6,7,8},{3},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,5},{3,6,7,8},{4}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,4,7},{2},{5,8},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,4,9},{3,6},{5,10},{7},{8}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,2,4,8},{3,7},{5,10},{6},{9}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,2,4,9},{3,7},{5,10},{6},{8}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,2,4,9},{3,8},{5,10},{6},{7}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,2,5,10},{3,6},{4,8},{7},{9}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,2,5,10},{3,6},{4,9},{7},{8}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,2,5,10},{3,7},{4,8},{6},{9}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,2,5,10},{3,7},{4,9},{6},{8}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,2,5,10},{3,8},{4,9},{6},{7}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,2,6},{3,7},{4,8},{5,10},{9}} => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 6
{{1,2,6},{3,7},{4,9},{5,10},{8}} => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 6
{{1,2,6},{3,8},{4,9},{5,10},{7}} => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 6
{{1,2,7},{3,8},{4,9},{5,10},{6}} => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 6
{{1,3,6},{2,4,8},{5,10},{7},{9}} => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [10,9,7,8,4,5,6,1,2,3] => 7
{{1,3,6},{2,4,9},{5,10},{7},{8}} => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [10,9,7,8,4,5,6,1,2,3] => 7
{{1,3,7},{2,4,8},{5,10},{6},{9}} => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [10,9,7,8,4,5,6,1,2,3] => 7
{{1,3,7},{2,4,9},{5,10},{6},{8}} => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [10,9,7,8,4,5,6,1,2,3] => 7
{{1,3,8},{2,4,9},{5,10},{6},{7}} => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [10,9,7,8,4,5,6,1,2,3] => 7
{{1,3,6},{2,5,10},{4,8},{7},{9}} => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [10,9,7,8,4,5,6,1,2,3] => 7
{{1,3,6},{2,5,10},{4,9},{7},{8}} => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [10,9,7,8,4,5,6,1,2,3] => 7
{{1,3,7},{2,5,10},{4,8},{6},{9}} => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [10,9,7,8,4,5,6,1,2,3] => 7
{{1,3,7},{2,5,10},{4,9},{6},{8}} => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [10,9,7,8,4,5,6,1,2,3] => 7
{{1,3,8},{2,5,10},{4,9},{6},{7}} => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [10,9,7,8,4,5,6,1,2,3] => 7
{{1,3,7},{2,6},{4,8},{5,10},{9}} => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 6
{{1,3,7},{2,6},{4,9},{5,10},{8}} => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 6
{{1,3,8},{2,6},{4,9},{5,10},{7}} => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 6
{{1,3,8},{2,7},{4,9},{5,10},{6}} => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 6
{{1,4,8},{2,5,10},{3,6},{7},{9}} => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [10,9,7,8,4,5,6,1,2,3] => 7
{{1,4,9},{2,5,10},{3,6},{7},{8}} => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [10,9,7,8,4,5,6,1,2,3] => 7
{{1,4,8},{2,5,10},{3,7},{6},{9}} => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [10,9,7,8,4,5,6,1,2,3] => 7
{{1,4,9},{2,5,10},{3,7},{6},{8}} => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [10,9,7,8,4,5,6,1,2,3] => 7
{{1,4,9},{2,5,10},{3,8},{6},{7}} => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [10,9,7,8,4,5,6,1,2,3] => 7
{{1,4,8},{2,6},{3,7},{5,10},{9}} => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 6
{{1,4,9},{2,6},{3,7},{5,10},{8}} => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 6
{{1,4,9},{2,6},{3,8},{5,10},{7}} => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 6
{{1,4,9},{2,7},{3,8},{5,10},{6}} => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 6
{{1,5,10},{2,6},{3,7},{4,8},{9}} => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 6
{{1,5,10},{2,6},{3,7},{4,9},{8}} => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 6
{{1,5,10},{2,6},{3,8},{4,9},{7}} => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 6
{{1,5,10},{2,7},{3,8},{4,9},{6}} => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 6
{{1,4,6},{2,3,5},{7,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2},{3,6,8},{4,5,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1},{2,3,4},{5},{6},{7},{8},{9}} => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 3
{{1,6,9},{2},{3},{4},{5},{7},{8}} => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 3
{{1,5,9},{2},{3},{4},{6},{7},{8}} => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 3
{{1,6,7,9},{2},{3},{4},{5},{8}} => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => 6
{{1,3},{2,4,5,6,7},{8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1},{2,4},{3,5,6,7,8,9}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1},{2,5},{3,4,6,7,8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,4},{2,3,5,6,7},{8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,4},{3,5,6,7},{8}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,3},{2,4,5,6,7,8},{9}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1},{2,4},{3,5,6,7,8,9,10}} => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => 22
{{1},{2,5},{3,4,6,7,8,9}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1},{2,3,5},{4,6,7,8,9}} => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [9,6,7,8,1,2,3,4,5] => 13
{{1},{2,6},{3,4,5,7,8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1},{2,3,4,6},{5,7,8}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,5},{2,3,4,6,7},{8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,4},{2,3,5,6,7,8},{9}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1,2,4},{3,5,6,7,8},{9}} => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [9,6,7,8,1,2,3,4,5] => 13
{{1,3},{2,4,5,6,7,8,9},{10}} => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => 22
{{1,2,7},{3},{4,6,8},{5}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,2,4,6,8,10},{3},{5},{7},{9}} => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => 15
{{1,2,4,6,9},{3,10},{5},{7},{8}} => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,1,2,3,4,5] => 11
{{1,2,4,7,10},{3,8},{5},{6},{9}} => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,1,2,3,4,5] => 11
{{1,2,4,7,9},{3},{5,10},{6},{8}} => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,1,2,3,4,5] => 11
{{1,2,4,8},{3,9},{5,10},{6},{7}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,2,5,8,10},{3,6},{4},{7},{9}} => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,1,2,3,4,5] => 11
{{1,2,5,9},{3,6,10},{4},{7},{8}} => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [10,9,8,5,6,7,1,2,3,4] => 9
{{1,2,5,7,10},{3},{4,8},{6},{9}} => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,1,2,3,4,5] => 11
{{1,2,5,7,9},{3},{4},{6,10},{8}} => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,1,2,3,4,5] => 11
{{1,2,5,8},{3,9},{4},{6,10},{7}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,2,6,10},{3,7},{4,8},{5},{9}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,2,6,9},{3,7},{4},{5,10},{8}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,2,6,8},{3},{4,9},{5,10},{7}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,3,6,8,10},{2,4},{5},{7},{9}} => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,1,2,3,4,5] => 11
{{1,3,6,9},{2,4,10},{5},{7},{8}} => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [10,9,8,5,6,7,1,2,3,4] => 9
{{1,3,7,10},{2,4,8},{5},{6},{9}} => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [10,9,8,5,6,7,1,2,3,4] => 9
{{1,3,7,9},{2,4},{5,10},{6},{8}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,3,5,8,10},{2},{4,6},{7},{9}} => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,1,2,3,4,5] => 11
{{1,3,5,9},{2},{4,6,10},{7},{8}} => [4,3,1,1,1] => [[1,2,3,4],[5,6,7],[8],[9],[10]] => [10,9,8,5,6,7,1,2,3,4] => 9
{{1,3,5,7,10},{2},{4},{6,8},{9}} => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,1,2,3,4,5] => 11
{{1,3,5,7,9},{2},{4},{6},{8,10}} => [5,2,1,1,1] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,1,2,3,4,5] => 11
{{1,3,5,8},{2,9},{4},{6},{7,10}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,3,6,10},{2,7},{4},{5,8},{9}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,3,6,9},{2,7},{4},{5},{8,10}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,3,6,8},{2},{4,9},{5},{7,10}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,3,7},{2,8},{4,9},{5},{6,10}} => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 6
{{1,4,8,10},{2,5},{3,6},{7},{9}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,4,7,10},{2,5},{3},{6,8},{9}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,4,7,9},{2,5},{3},{6},{8,10}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,4,8},{2,5,9},{3},{6},{7,10}} => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => [10,9,7,8,4,5,6,1,2,3] => 7
{{1,4,6,10},{2},{3,7},{5,8},{9}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,4,6,9},{2},{3,7},{5},{8,10}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,4,6,8},{2},{3},{5,9},{7,10}} => [4,2,2,1,1] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,1,2,3,4] => 8
{{1,4,7},{2,8},{3},{5,9},{6,10}} => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 6
{{1,5,9},{2,6},{3,7},{4},{8,10}} => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 6
{{1,5,8},{2,6},{3},{4,9},{7,10}} => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 6
{{1,5,7},{2},{3,8},{4,9},{6,10}} => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => [10,8,9,6,7,4,5,1,2,3] => 6
{{1},{2,4,6},{3},{5,7,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,5,7},{3},{4,6,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,8},{2,9},{3},{4},{5},{6},{7}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1},{2,7},{3,8},{4},{5},{6}} => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => [8,7,6,5,3,4,1,2] => 2
{{1,7},{2},{3,9},{4},{5},{6},{8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,6},{2},{3},{4,9},{5},{7},{8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,5,6},{2},{3,8},{4},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,5},{2},{3},{4},{6,9},{7},{8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,4},{2},{3},{5},{6},{7,9},{8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,3},{2},{4},{5},{6},{7},{8,9}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,2,3,4,5,6,9},{7,8}} => [7,2] => [[1,2,3,4,5,6,7],[8,9]] => [8,9,1,2,3,4,5,6,7] => 22
{{1,2,3,4,5,6,7,10},{8,9}} => [8,2] => [[1,2,3,4,5,6,7,8],[9,10]] => [9,10,1,2,3,4,5,6,7,8] => 29
{{1},{2,3,4,5,6,7,10},{8,9}} => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => 22
{{1,3,4,5,6,9},{2},{7,8}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1},{2},{3},{4,6,8},{5,7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2},{3,5,8},{4,6},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,2,8},{3},{4},{5},{6},{7},{9}} => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 3
{{1,2,7},{3},{4},{5},{6},{8},{9}} => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 3
{{1,2,9},{3,4,5,6,7,8}} => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => [7,8,9,1,2,3,4,5,6] => 18
{{1},{2,3,4,5,6,7},{8,9}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1},{2,3,4,5,6,9},{7},{8}} => [6,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9]] => [9,8,7,1,2,3,4,5,6] => 15
{{1},{2,3,4,5,9},{6},{7},{8}} => [5,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9]] => [9,8,7,6,1,2,3,4,5] => 10
{{1},{2,3,4,9},{5},{6},{7},{8}} => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => 6
{{1},{2,3,4,5,6,7,10},{8},{9}} => [7,1,1,1] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [10,9,8,1,2,3,4,5,6,7] => 21
{{1},{2,3,4,5,9},{6,7},{8}} => [5,2,1,1] => [[1,2,3,4,5],[6,7],[8],[9]] => [9,8,6,7,1,2,3,4,5] => 11
{{1},{2,3,4,5,6,10},{7},{8},{9}} => [6,1,1,1,1] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [10,9,8,7,1,2,3,4,5,6] => 15
{{1},{2,3,4,9},{5,6},{7},{8}} => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [9,8,7,5,6,1,2,3,4] => 7
{{1},{2,3,4,5,10},{6},{7},{8},{9}} => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,1,2,3,4,5] => 10
{{1},{2,3,9},{4,5},{6},{7},{8}} => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [9,8,7,6,4,5,1,2,3] => 4
{{1},{2,3,4,10},{5},{6},{7},{8},{9}} => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,1,2,3,4] => 6
{{1},{2,3,10},{4},{5},{6},{7},{8},{9}} => [3,1,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,1,2,3] => 3
{{1},{2,3},{4},{5},{6},{7,9},{8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,2,7},{3,8},{4},{5,6}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2,6,7},{3},{4,8},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,4},{3,6},{5,7,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1},{2,5},{3},{4,7},{6,8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1,4,8},{2,3,7},{5,6}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2},{3,4,7},{5,6,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,4,7},{2,3},{5,6,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,3,7},{2,4},{5,6,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,3,7},{2,6,8},{4,5}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,7},{2,3,5,8},{4,6}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,2,6},{3,8},{4,5,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2,8},{3,4,6},{5,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2},{3,5,7,8},{4,6}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,5,7,8},{2,6},{3,4}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,5,8},{2,7},{3,4,6}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,6,8},{2,3},{4,5,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,6,8},{2,5,7},{3,4}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,6,8},{2,4,7},{3,5}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1},{2,4},{3,5},{6,7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,5,6,8},{3},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,5,6,9},{2},{3},{4},{7},{8}} => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => 6
{{1,4,5,9},{2},{3},{6},{7},{8}} => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => 6
{{1,3,4,9},{2},{5},{6},{7},{8}} => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => 6
{{1,6},{2},{3},{4},{5},{7,8,9}} => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [9,8,7,6,4,5,1,2,3] => 4
{{1,5},{2},{3},{4},{6,7,8,9}} => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [9,8,7,5,6,1,2,3,4] => 7
{{1,7,8,10},{2},{3},{4},{5},{6},{9}} => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,1,2,3,4] => 6
{{1,4},{2},{3},{5,6,7,9},{8}} => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [9,8,7,5,6,1,2,3,4] => 7
{{1,6,7,10},{2},{3},{4},{5},{8},{9}} => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,1,2,3,4] => 6
{{1,3},{2},{4,5,6,9},{7},{8}} => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [9,8,7,5,6,1,2,3,4] => 7
{{1,5,6,10},{2},{3},{4},{7},{8},{9}} => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,1,2,3,4] => 6
{{1,2},{3,4,5,9},{6},{7},{8}} => [4,2,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9]] => [9,8,7,5,6,1,2,3,4] => 7
{{1,4,5,10},{2},{3},{6},{7},{8},{9}} => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,1,2,3,4] => 6
{{1,3,4,10},{2},{5},{6},{7},{8},{9}} => [4,1,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,1,2,3,4] => 6
{{1,5},{2,3,4,6},{7,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,3,4},{2,8},{5,6,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,3,6,7},{2,8},{4,5}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,8},{2,3,6},{4,5,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2,7},{3,4,5,6,8}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,2},{3,5,6},{4,7,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,5,6},{2,7,8},{3,4}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,4,5},{2,7,8},{3,6}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,7},{2,6},{3,4,5,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,2},{3,7},{4,5,6,8}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,7},{2,5,6,8},{3,4}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,2,3,7},{4},{5,8},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,4,5,6,7},{2},{8,9}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1,3,4},{2,6},{5,7,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,3,4,5,6},{2,8,9},{7}} => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [9,6,7,8,1,2,3,4,5] => 13
{{1,3,4,5,6},{2},{7,8,9}} => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [9,6,7,8,1,2,3,4,5] => 13
{{1,3,4,5,6,7,8},{2},{9,10}} => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => 22
{{1,7},{2},{3,4,5,8},{6}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4},{2,3,5,6},{7},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,5},{2,4},{6},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2,5,6,7},{3},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2,6},{3},{4},{5},{7},{8},{9}} => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 3
{{1,2,5},{3},{4},{6},{7},{8},{9}} => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 3
{{1,2,4},{3},{5},{6},{7},{8},{9}} => [3,1,1,1,1,1,1] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,1,2,3] => 3
{{1},{2},{3,4,5,7},{6,8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,4,7},{2},{3},{5,6,8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1,4,5},{2},{3,6,7},{8}} => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => 6
{{1},{2,5},{3,4,6,7},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,4,5,6},{3,7},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,2},{3},{4},{5},{6},{7,9},{8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,2},{3},{4},{5},{6},{7},{8,10},{9}} => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,4,1,2] => 2
{{1,3},{2},{4},{5},{6},{7,9},{8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1},{2,3},{4},{5},{6},{7},{8,9}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,2},{3},{4},{5},{6},{7},{8},{9,10}} => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,4,1,2] => 2
{{1},{2,3,6},{4},{5,8},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,3,7},{4},{5,8},{6}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,4},{3,7},{5},{6,8}} => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => 3
{{1},{2,5},{3},{4,6,8},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,5},{3},{4,6,7},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,2},{3,4,6,8},{5,7}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,2,3,4,5,8,9},{6},{7}} => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 21
{{1,2,3,4,5,9},{6,7},{8}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1,2,3,4,5,6,9,10},{7},{8}} => [8,1,1] => [[1,2,3,4,5,6,7,8],[9],[10]] => [10,9,1,2,3,4,5,6,7,8] => 28
{{1,2,3,4,8,9},{5,7},{6}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1,2,3,4,6,8,9},{5},{7}} => [7,1,1] => [[1,2,3,4,5,6,7],[8],[9]] => [9,8,1,2,3,4,5,6,7] => 21
{{1,2,3,4,9},{5,8},{6,7}} => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => [8,9,6,7,1,2,3,4,5] => 12
{{1,2,3,4,7,9},{5,6},{8}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1,2,3,4,5,6,10},{7,8},{9}} => [7,2,1] => [[1,2,3,4,5,6,7],[8,9],[10]] => [10,8,9,1,2,3,4,5,6,7] => 22
{{1,4,6,7,8},{2},{3,5}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,4,5},{2,3,6,7,8}} => [5,3] => [[1,2,3,4,5],[6,7,8]] => [6,7,8,1,2,3,4,5] => 13
{{1,4,5},{2,3,6},{7,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,4,5},{2,3,8},{6,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,4,7},{2,3,8},{5,6}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,3,4},{2,7},{5,6,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,3,6,8},{2,7},{4,5}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,2},{3,6,7},{4,5,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,6,7},{2,3},{4,5,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,6,7},{2,5,8},{3,4}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,5,6},{2,8},{3,4,7}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,6,7},{2,4,5},{3,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1},{2,4,6,8,10},{3},{5},{7},{9}} => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,1,2,3,4,5] => 10
{{1},{2,4,6,10},{3},{5},{7,9},{8}} => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [10,9,8,7,5,6,1,2,3,4] => 7
{{1},{2,4,8,10},{3},{5,7},{6},{9}} => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [10,9,8,7,5,6,1,2,3,4] => 7
{{1},{2,4,10},{3},{5,7,9},{6},{8}} => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [10,9,8,7,4,5,6,1,2,3] => 6
{{1},{2,4,10},{3},{5,9},{6,8},{7}} => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => 5
{{1},{2,6,8,10},{3,5},{4},{7},{9}} => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [10,9,8,7,5,6,1,2,3,4] => 7
{{1},{2,6,10},{3,5},{4},{7,9},{8}} => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => 5
{{1},{2,8,10},{3,5,7},{4},{6},{9}} => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [10,9,8,7,4,5,6,1,2,3] => 6
{{1},{2,8,10},{3,7},{4,6},{5},{9}} => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => 5
{{1},{2,10},{3,5,7,9},{4},{6},{8}} => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [10,9,8,7,5,6,1,2,3,4] => 7
{{1},{2,10},{3,5,9},{4},{6,8},{7}} => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => 5
{{1},{2,10},{3,7,9},{4,6},{5},{8}} => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => 5
{{1},{2,10},{3,9},{4,6,8},{5},{7}} => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => 5
{{1,3},{2},{4,6,8,10},{5},{7},{9}} => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [10,9,8,7,5,6,1,2,3,4] => 7
{{1,3},{2},{4,6,10},{5},{7,9},{8}} => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => 5
{{1,3},{2},{4,8,10},{5,7},{6},{9}} => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => 5
{{1,3},{2},{4,10},{5,7,9},{6},{8}} => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => 5
{{1,3},{2},{4,10},{5,9},{6,8},{7}} => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,3,4,1,2] => 4
{{1,3,5},{2},{4},{6,8,10},{7},{9}} => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [10,9,8,7,4,5,6,1,2,3] => 6
{{1,3,5},{2},{4},{6,10},{7,9},{8}} => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => 5
{{1,5},{2,4},{3},{6,8,10},{7},{9}} => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => 5
{{1,5},{2,4},{3},{6,10},{7,9},{8}} => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,3,4,1,2] => 4
{{1,3,5,7},{2},{4},{6},{8,10},{9}} => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [10,9,8,7,5,6,1,2,3,4] => 7
{{1,3,7},{2},{4,6},{5},{8,10},{9}} => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => 5
{{1,5,7},{2,4},{3},{6},{8,10},{9}} => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => 5
{{1,7},{2,4,6},{3},{5},{8,10},{9}} => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => 5
{{1,7},{2,6},{3,5},{4},{8,10},{9}} => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => [10,9,7,8,5,6,3,4,1,2] => 4
{{1,3,5,7,9},{2},{4},{6},{8},{10}} => [5,1,1,1,1,1] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,1,2,3,4,5] => 10
{{1,3,5,9},{2},{4},{6,8},{7},{10}} => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [10,9,8,7,5,6,1,2,3,4] => 7
{{1,3,7,9},{2},{4,6},{5},{8},{10}} => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [10,9,8,7,5,6,1,2,3,4] => 7
{{1,3,9},{2},{4,6,8},{5},{7},{10}} => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [10,9,8,7,4,5,6,1,2,3] => 6
{{1,3,9},{2},{4,8},{5,7},{6},{10}} => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => 5
{{1,5,7,9},{2,4},{3},{6},{8},{10}} => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [10,9,8,7,5,6,1,2,3,4] => 7
{{1,5,9},{2,4},{3},{6,8},{7},{10}} => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => 5
{{1,7,9},{2,4,6},{3},{5},{8},{10}} => [3,3,1,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9],[10]] => [10,9,8,7,4,5,6,1,2,3] => 6
{{1,7,9},{2,6},{3,5},{4},{8},{10}} => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => 5
{{1,9},{2,4,6,8},{3},{5},{7},{10}} => [4,2,1,1,1,1] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [10,9,8,7,5,6,1,2,3,4] => 7
{{1,9},{2,4,8},{3},{5,7},{6},{10}} => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => 5
{{1,9},{2,6,8},{3,5},{4},{7},{10}} => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => 5
{{1,9},{2,8},{3,5,7},{4},{6},{10}} => [3,2,2,1,1,1] => [[1,2,3],[4,5],[6,7],[8],[9],[10]] => [10,9,8,6,7,4,5,1,2,3] => 5
{{1,9},{2},{3},{4},{5},{6,7},{8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,9},{2},{3},{4},{5},{6,8},{7}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1},{2,5},{3},{4},{6},{7},{8},{9}} => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
{{1},{2},{3,5},{4},{6},{7},{8},{9}} => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
{{1},{2},{3},{4,5},{6},{7},{8},{9}} => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
{{1},{2},{3},{4},{5},{6,7},{8},{9},{10}} => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
{{1,9},{2},{3},{4},{5},{6,7,8}} => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [9,8,7,6,4,5,1,2,3] => 4
{{1},{2},{3},{4},{5},{6,8},{7},{9},{10}} => [2,1,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,4,3,1,2] => 1
{{1,6,8,9},{2},{3},{4},{5},{7}} => [4,1,1,1,1,1] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,1,2,3,4] => 6
{{1,5},{2},{3},{4},{6},{7},{8,9}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,2,9},{3,6},{4},{5},{7},{8}} => [3,2,1,1,1,1] => [[1,2,3],[4,5],[6],[7],[8],[9]] => [9,8,7,6,4,5,1,2,3] => 4
{{1,10},{2,6},{3},{4},{5},{7},{8},{9}} => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,4,1,2] => 2
{{1,10},{2},{3,6},{4},{5},{7},{8},{9}} => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,4,1,2] => 2
{{1},{2,3},{4,5},{6},{7},{8},{9}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1,10},{2},{3},{4,6},{5},{7},{8},{9}} => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,4,1,2] => 2
{{1},{2},{3,4},{5},{6},{7},{8},{9}} => [2,1,1,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,4,3,1,2] => 1
{{1,10},{2},{3},{4},{5,6},{7},{8},{9}} => [2,2,1,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [10,9,8,7,6,5,3,4,1,2] => 2
{{1,2,4},{3,6,7,8},{5}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,4},{3,5,6,8},{7}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,3,6},{4},{5,8},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,4},{3,5,6,8},{7}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1},{2,5},{3,4,6},{7,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,2},{3},{4,7},{5,6,8}} => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => 5
{{1,4},{2},{3},{5},{6,9},{7},{8}} => [2,2,1,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8],[9]] => [9,8,7,6,5,3,4,1,2] => 2
{{1},{2,4,6},{3},{5,7},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1,4,6},{2,3,5,8},{7}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,6},{2,3,5,8},{4,7}} => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => 8
{{1,3,5},{2,7,8},{4,6}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,3,4},{2,5,7,8},{6}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,4,5,6},{2},{3,7,8}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,2,5,7,8},{3},{4,6}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1},{2,3,6,8},{4,7},{5}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3,6},{2,4},{5,7,8}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,4,8},{2,5,7},{3,6}} => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => 7
{{1,2,6,8},{3},{4,5,7}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1,4,6,8},{2,3,5},{7}} => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => 9
{{1},{2,3,4,6,7},{5,8}} => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => [8,6,7,1,2,3,4,5] => 11
{{1,2,3,4,5,7},{6},{8,9}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1},{2,3,6},{4,7},{5},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,4,7},{3,8},{5},{6}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,5,7},{3},{4,8},{6}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,4,7},{3,5},{6},{8}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,5,8},{3,6},{4},{7}} => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => [8,7,6,4,5,1,2,3] => 4
{{1},{2,4,6,7},{3,5},{8}} => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => 7
{{1,3},{2},{4,5,6,7,8,9}} => [6,2,1] => [[1,2,3,4,5,6],[7,8],[9]] => [9,7,8,1,2,3,4,5,6] => 16
{{1,2,4},{3},{5,6,7,8,9}} => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [9,6,7,8,1,2,3,4,5] => 13
{{1,2,3,5},{4},{6,7,8,9}} => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => [9,5,6,7,8,1,2,3,4] => 12
{{1,2,3,4,6},{5},{7,8,9}} => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => [9,6,7,8,1,2,3,4,5] => 13
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,3,0,1 1,6,3,4,0,0,1 1,10,15,10,10,0,5,0,0,0,1 1,15,45,35,60,0,25,15,0,0,6,0,0,0,0,1 1,21,105,140,210,105,105,105,0,35,21,21,0,0,0,7,0,0,0,0,0,1
$F_{1} = 1$
$F_{2} = 1 + q$
$F_{3} = 1 + 3\ q + q^{3}$
$F_{4} = 1 + 6\ q + 3\ q^{2} + 4\ q^{3} + q^{6}$
$F_{5} = 1 + 10\ q + 15\ q^{2} + 10\ q^{3} + 10\ q^{4} + 5\ q^{6} + q^{10}$
$F_{6} = 1 + 15\ q + 45\ q^{2} + 35\ q^{3} + 60\ q^{4} + 25\ q^{6} + 15\ q^{7} + 6\ q^{10} + q^{15}$
$F_{7} = 1 + 21\ q + 105\ q^{2} + 140\ q^{3} + 210\ q^{4} + 105\ q^{5} + 105\ q^{6} + 105\ q^{7} + 35\ q^{9} + 21\ q^{10} + 21\ q^{11} + 7\ q^{15} + q^{21}$
Description
The number of non-inversions of a permutation.
For a permutation of $\{1,\ldots,n\}$, this is given by $\operatorname{noninv}(\pi) = \binom{n}{2}-\operatorname{inv}(\pi)$.
For a permutation of $\{1,\ldots,n\}$, this is given by $\operatorname{noninv}(\pi) = \binom{n}{2}-\operatorname{inv}(\pi)$.
Map
initial tableau
Description
Sends an integer partition to the standard tableau obtained by filling the numbers $1$ through $n$ row by row.
Map
reading word permutation
Description
Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottom-most row in English notation.
Map
shape
Description
Sends a set partition to the integer partition obtained by the sizes of the blocks.
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