Identifier
-
Mp00080:
Set partitions
—to permutation⟶
Permutations
Mp00236: Permutations —Clarke-Steingrimsson-Zeng inverse⟶ Permutations
Mp00059: Permutations —Robinson-Schensted insertion tableau⟶ Standard tableaux
St000059: Standard tableaux ⟶ ℤ
Values
{{1}} => [1] => [1] => [[1]] => 0
{{1,2}} => [2,1] => [2,1] => [[1],[2]] => 1
{{1},{2}} => [1,2] => [1,2] => [[1,2]] => 0
{{1,2,3}} => [2,3,1] => [3,2,1] => [[1],[2],[3]] => 3
{{1,2},{3}} => [2,1,3] => [2,1,3] => [[1,3],[2]] => 1
{{1,3},{2}} => [3,2,1] => [2,3,1] => [[1,3],[2]] => 1
{{1},{2,3}} => [1,3,2] => [1,3,2] => [[1,2],[3]] => 2
{{1},{2},{3}} => [1,2,3] => [1,2,3] => [[1,2,3]] => 0
{{1,2,3,4}} => [2,3,4,1] => [4,3,2,1] => [[1],[2],[3],[4]] => 6
{{1,2,3},{4}} => [2,3,1,4] => [3,2,1,4] => [[1,4],[2],[3]] => 3
{{1,2,4},{3}} => [2,4,3,1] => [3,4,2,1] => [[1,4],[2],[3]] => 3
{{1,2},{3,4}} => [2,1,4,3] => [2,1,4,3] => [[1,3],[2,4]] => 2
{{1,2},{3},{4}} => [2,1,3,4] => [2,1,3,4] => [[1,3,4],[2]] => 1
{{1,3,4},{2}} => [3,2,4,1] => [2,4,3,1] => [[1,3],[2],[4]] => 4
{{1,3},{2,4}} => [3,4,1,2] => [4,1,3,2] => [[1,2],[3],[4]] => 5
{{1,3},{2},{4}} => [3,2,1,4] => [2,3,1,4] => [[1,3,4],[2]] => 1
{{1,4},{2,3}} => [4,3,2,1] => [3,2,4,1] => [[1,4],[2],[3]] => 3
{{1},{2,3,4}} => [1,3,4,2] => [1,4,3,2] => [[1,2],[3],[4]] => 5
{{1},{2,3},{4}} => [1,3,2,4] => [1,3,2,4] => [[1,2,4],[3]] => 2
{{1,4},{2},{3}} => [4,2,3,1] => [2,3,4,1] => [[1,3,4],[2]] => 1
{{1},{2,4},{3}} => [1,4,3,2] => [1,3,4,2] => [[1,2,4],[3]] => 2
{{1},{2},{3,4}} => [1,2,4,3] => [1,2,4,3] => [[1,2,3],[4]] => 3
{{1},{2},{3},{4}} => [1,2,3,4] => [1,2,3,4] => [[1,2,3,4]] => 0
{{1,2,3,4,5}} => [2,3,4,5,1] => [5,4,3,2,1] => [[1],[2],[3],[4],[5]] => 10
{{1,2,3,4},{5}} => [2,3,4,1,5] => [4,3,2,1,5] => [[1,5],[2],[3],[4]] => 6
{{1,2,3,5},{4}} => [2,3,5,4,1] => [4,5,3,2,1] => [[1,5],[2],[3],[4]] => 6
{{1,2,3},{4,5}} => [2,3,1,5,4] => [3,2,1,5,4] => [[1,4],[2,5],[3]] => 4
{{1,2,3},{4},{5}} => [2,3,1,4,5] => [3,2,1,4,5] => [[1,4,5],[2],[3]] => 3
{{1,2,4,5},{3}} => [2,4,3,5,1] => [3,5,4,2,1] => [[1,4],[2],[3],[5]] => 7
{{1,2,4},{3,5}} => [2,4,5,1,3] => [5,2,1,4,3] => [[1,3],[2,4],[5]] => 6
{{1,2,4},{3},{5}} => [2,4,3,1,5] => [3,4,2,1,5] => [[1,4,5],[2],[3]] => 3
{{1,2,5},{3,4}} => [2,5,4,3,1] => [4,3,5,2,1] => [[1,5],[2],[3],[4]] => 6
{{1,2},{3,4,5}} => [2,1,4,5,3] => [2,1,5,4,3] => [[1,3],[2,4],[5]] => 6
{{1,2},{3,4},{5}} => [2,1,4,3,5] => [2,1,4,3,5] => [[1,3,5],[2,4]] => 2
{{1,2,5},{3},{4}} => [2,5,3,4,1] => [3,4,5,2,1] => [[1,4,5],[2],[3]] => 3
{{1,2},{3,5},{4}} => [2,1,5,4,3] => [2,1,4,5,3] => [[1,3,5],[2,4]] => 2
{{1,2},{3},{4,5}} => [2,1,3,5,4] => [2,1,3,5,4] => [[1,3,4],[2,5]] => 3
{{1,2},{3},{4},{5}} => [2,1,3,4,5] => [2,1,3,4,5] => [[1,3,4,5],[2]] => 1
{{1,3,4,5},{2}} => [3,2,4,5,1] => [2,5,4,3,1] => [[1,3],[2],[4],[5]] => 8
{{1,3,4},{2,5}} => [3,5,4,1,2] => [4,1,5,3,2] => [[1,2],[3,5],[4]] => 7
{{1,3,4},{2},{5}} => [3,2,4,1,5] => [2,4,3,1,5] => [[1,3,5],[2],[4]] => 4
{{1,3,5},{2,4}} => [3,4,5,2,1] => [5,2,4,3,1] => [[1,3],[2],[4],[5]] => 8
{{1,3},{2,4,5}} => [3,4,1,5,2] => [5,4,1,3,2] => [[1,2],[3],[4],[5]] => 9
{{1,3},{2,4},{5}} => [3,4,1,2,5] => [4,1,3,2,5] => [[1,2,5],[3],[4]] => 5
{{1,3,5},{2},{4}} => [3,2,5,4,1] => [2,4,5,3,1] => [[1,3,5],[2],[4]] => 4
{{1,3},{2,5},{4}} => [3,5,1,4,2] => [4,5,1,3,2] => [[1,2],[3,5],[4]] => 7
{{1,3},{2},{4,5}} => [3,2,1,5,4] => [2,3,1,5,4] => [[1,3,4],[2,5]] => 3
{{1,3},{2},{4},{5}} => [3,2,1,4,5] => [2,3,1,4,5] => [[1,3,4,5],[2]] => 1
{{1,4,5},{2,3}} => [4,3,2,5,1] => [3,2,5,4,1] => [[1,4],[2,5],[3]] => 4
{{1,4},{2,3,5}} => [4,3,5,1,2] => [5,3,1,4,2] => [[1,2],[3,4],[5]] => 8
{{1,4},{2,3},{5}} => [4,3,2,1,5] => [3,2,4,1,5] => [[1,4,5],[2],[3]] => 3
{{1,5},{2,3,4}} => [5,3,4,2,1] => [4,3,2,5,1] => [[1,5],[2],[3],[4]] => 6
{{1},{2,3,4,5}} => [1,3,4,5,2] => [1,5,4,3,2] => [[1,2],[3],[4],[5]] => 9
{{1},{2,3,4},{5}} => [1,3,4,2,5] => [1,4,3,2,5] => [[1,2,5],[3],[4]] => 5
{{1,5},{2,3},{4}} => [5,3,2,4,1] => [3,2,4,5,1] => [[1,4,5],[2],[3]] => 3
{{1},{2,3,5},{4}} => [1,3,5,4,2] => [1,4,5,3,2] => [[1,2,5],[3],[4]] => 5
{{1},{2,3},{4,5}} => [1,3,2,5,4] => [1,3,2,5,4] => [[1,2,4],[3,5]] => 5
{{1},{2,3},{4},{5}} => [1,3,2,4,5] => [1,3,2,4,5] => [[1,2,4,5],[3]] => 2
{{1,4,5},{2},{3}} => [4,2,3,5,1] => [2,3,5,4,1] => [[1,3,4],[2],[5]] => 5
{{1,4},{2,5},{3}} => [4,5,3,1,2] => [3,5,1,4,2] => [[1,2],[3,4],[5]] => 8
{{1,4},{2},{3,5}} => [4,2,5,1,3] => [2,5,1,4,3] => [[1,3],[2,4],[5]] => 6
{{1,4},{2},{3},{5}} => [4,2,3,1,5] => [2,3,4,1,5] => [[1,3,4,5],[2]] => 1
{{1,5},{2,4},{3}} => [5,4,3,2,1] => [3,4,2,5,1] => [[1,4,5],[2],[3]] => 3
{{1},{2,4,5},{3}} => [1,4,3,5,2] => [1,3,5,4,2] => [[1,2,4],[3],[5]] => 6
{{1},{2,4},{3,5}} => [1,4,5,2,3] => [1,5,2,4,3] => [[1,2,3],[4],[5]] => 7
{{1},{2,4},{3},{5}} => [1,4,3,2,5] => [1,3,4,2,5] => [[1,2,4,5],[3]] => 2
{{1,5},{2},{3,4}} => [5,2,4,3,1] => [2,4,3,5,1] => [[1,3,5],[2],[4]] => 4
{{1},{2,5},{3,4}} => [1,5,4,3,2] => [1,4,3,5,2] => [[1,2,5],[3],[4]] => 5
{{1},{2},{3,4,5}} => [1,2,4,5,3] => [1,2,5,4,3] => [[1,2,3],[4],[5]] => 7
{{1},{2},{3,4},{5}} => [1,2,4,3,5] => [1,2,4,3,5] => [[1,2,3,5],[4]] => 3
{{1,5},{2},{3},{4}} => [5,2,3,4,1] => [2,3,4,5,1] => [[1,3,4,5],[2]] => 1
{{1},{2,5},{3},{4}} => [1,5,3,4,2] => [1,3,4,5,2] => [[1,2,4,5],[3]] => 2
{{1},{2},{3,5},{4}} => [1,2,5,4,3] => [1,2,4,5,3] => [[1,2,3,5],[4]] => 3
{{1},{2},{3},{4,5}} => [1,2,3,5,4] => [1,2,3,5,4] => [[1,2,3,4],[5]] => 4
{{1},{2},{3},{4},{5}} => [1,2,3,4,5] => [1,2,3,4,5] => [[1,2,3,4,5]] => 0
{{1,2,3,4,5,6}} => [2,3,4,5,6,1] => [6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6]] => 15
{{1,2,3,4,5},{6}} => [2,3,4,5,1,6] => [5,4,3,2,1,6] => [[1,6],[2],[3],[4],[5]] => 10
{{1,2,3,4,6},{5}} => [2,3,4,6,5,1] => [5,6,4,3,2,1] => [[1,6],[2],[3],[4],[5]] => 10
{{1,2,3,4},{5,6}} => [2,3,4,1,6,5] => [4,3,2,1,6,5] => [[1,5],[2,6],[3],[4]] => 7
{{1,2,3,4},{5},{6}} => [2,3,4,1,5,6] => [4,3,2,1,5,6] => [[1,5,6],[2],[3],[4]] => 6
{{1,2,3,5,6},{4}} => [2,3,5,4,6,1] => [4,6,5,3,2,1] => [[1,5],[2],[3],[4],[6]] => 11
{{1,2,3,5},{4,6}} => [2,3,5,6,1,4] => [6,3,2,1,5,4] => [[1,4],[2,5],[3],[6]] => 9
{{1,2,3,5},{4},{6}} => [2,3,5,4,1,6] => [4,5,3,2,1,6] => [[1,5,6],[2],[3],[4]] => 6
{{1,2,3,6},{4,5}} => [2,3,6,5,4,1] => [5,4,6,3,2,1] => [[1,6],[2],[3],[4],[5]] => 10
{{1,2,3},{4,5,6}} => [2,3,1,5,6,4] => [3,2,1,6,5,4] => [[1,4],[2,5],[3,6]] => 6
{{1,2,3},{4,5},{6}} => [2,3,1,5,4,6] => [3,2,1,5,4,6] => [[1,4,6],[2,5],[3]] => 4
{{1,2,3,6},{4},{5}} => [2,3,6,4,5,1] => [4,5,6,3,2,1] => [[1,5,6],[2],[3],[4]] => 6
{{1,2,3},{4,6},{5}} => [2,3,1,6,5,4] => [3,2,1,5,6,4] => [[1,4,6],[2,5],[3]] => 4
{{1,2,3},{4},{5,6}} => [2,3,1,4,6,5] => [3,2,1,4,6,5] => [[1,4,5],[2,6],[3]] => 5
{{1,2,3},{4},{5},{6}} => [2,3,1,4,5,6] => [3,2,1,4,5,6] => [[1,4,5,6],[2],[3]] => 3
{{1,2,4,5,6},{3}} => [2,4,3,5,6,1] => [3,6,5,4,2,1] => [[1,4],[2],[3],[5],[6]] => 12
{{1,2,4,5},{3,6}} => [2,4,6,5,1,3] => [5,2,1,6,4,3] => [[1,3],[2,4],[5,6]] => 10
{{1,2,4,5},{3},{6}} => [2,4,3,5,1,6] => [3,5,4,2,1,6] => [[1,4,6],[2],[3],[5]] => 7
{{1,2,4,6},{3,5}} => [2,4,5,6,3,1] => [6,3,5,4,2,1] => [[1,4],[2],[3],[5],[6]] => 12
{{1,2,4},{3,5,6}} => [2,4,5,1,6,3] => [6,5,2,1,4,3] => [[1,3],[2,4],[5],[6]] => 11
{{1,2,4},{3,5},{6}} => [2,4,5,1,3,6] => [5,2,1,4,3,6] => [[1,3,6],[2,4],[5]] => 6
{{1,2,4,6},{3},{5}} => [2,4,3,6,5,1] => [3,5,6,4,2,1] => [[1,4,6],[2],[3],[5]] => 7
{{1,2,4},{3,6},{5}} => [2,4,6,1,5,3] => [5,6,2,1,4,3] => [[1,3],[2,4],[5,6]] => 10
{{1,2,4},{3},{5,6}} => [2,4,3,1,6,5] => [3,4,2,1,6,5] => [[1,4,5],[2,6],[3]] => 5
{{1,2,4},{3},{5},{6}} => [2,4,3,1,5,6] => [3,4,2,1,5,6] => [[1,4,5,6],[2],[3]] => 3
{{1,2,5,6},{3,4}} => [2,5,4,3,6,1] => [4,3,6,5,2,1] => [[1,5],[2,6],[3],[4]] => 7
>>> Load all 2559 entries. <<<{{1,2,5},{3,4,6}} => [2,5,4,6,1,3] => [6,4,2,1,5,3] => [[1,3],[2,5],[4],[6]] => 10
{{1,2,5},{3,4},{6}} => [2,5,4,3,1,6] => [4,3,5,2,1,6] => [[1,5,6],[2],[3],[4]] => 6
{{1,2,6},{3,4,5}} => [2,6,4,5,3,1] => [5,4,3,6,2,1] => [[1,6],[2],[3],[4],[5]] => 10
{{1,2},{3,4,5,6}} => [2,1,4,5,6,3] => [2,1,6,5,4,3] => [[1,3],[2,4],[5],[6]] => 11
{{1,2},{3,4,5},{6}} => [2,1,4,5,3,6] => [2,1,5,4,3,6] => [[1,3,6],[2,4],[5]] => 6
{{1,2,6},{3,4},{5}} => [2,6,4,3,5,1] => [4,3,5,6,2,1] => [[1,5,6],[2],[3],[4]] => 6
{{1,2},{3,4,6},{5}} => [2,1,4,6,5,3] => [2,1,5,6,4,3] => [[1,3,6],[2,4],[5]] => 6
{{1,2},{3,4},{5,6}} => [2,1,4,3,6,5] => [2,1,4,3,6,5] => [[1,3,5],[2,4,6]] => 3
{{1,2},{3,4},{5},{6}} => [2,1,4,3,5,6] => [2,1,4,3,5,6] => [[1,3,5,6],[2,4]] => 2
{{1,2,5,6},{3},{4}} => [2,5,3,4,6,1] => [3,4,6,5,2,1] => [[1,4,5],[2],[3],[6]] => 8
{{1,2,5},{3,6},{4}} => [2,5,6,4,1,3] => [4,6,2,1,5,3] => [[1,3],[2,5],[4,6]] => 7
{{1,2,5},{3},{4,6}} => [2,5,3,6,1,4] => [3,6,2,1,5,4] => [[1,4],[2,5],[3,6]] => 6
{{1,2,5},{3},{4},{6}} => [2,5,3,4,1,6] => [3,4,5,2,1,6] => [[1,4,5,6],[2],[3]] => 3
{{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => [4,5,3,6,2,1] => [[1,5,6],[2],[3],[4]] => 6
{{1,2},{3,5,6},{4}} => [2,1,5,4,6,3] => [2,1,4,6,5,3] => [[1,3,5],[2,4],[6]] => 7
{{1,2},{3,5},{4,6}} => [2,1,5,6,3,4] => [2,1,6,3,5,4] => [[1,3,4],[2,5],[6]] => 8
{{1,2},{3,5},{4},{6}} => [2,1,5,4,3,6] => [2,1,4,5,3,6] => [[1,3,5,6],[2,4]] => 2
{{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => [3,5,4,6,2,1] => [[1,4,6],[2],[3],[5]] => 7
{{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => [2,1,5,4,6,3] => [[1,3,6],[2,4],[5]] => 6
{{1,2},{3},{4,5,6}} => [2,1,3,5,6,4] => [2,1,3,6,5,4] => [[1,3,4],[2,5],[6]] => 8
{{1,2},{3},{4,5},{6}} => [2,1,3,5,4,6] => [2,1,3,5,4,6] => [[1,3,4,6],[2,5]] => 3
{{1,2,6},{3},{4},{5}} => [2,6,3,4,5,1] => [3,4,5,6,2,1] => [[1,4,5,6],[2],[3]] => 3
{{1,2},{3,6},{4},{5}} => [2,1,6,4,5,3] => [2,1,4,5,6,3] => [[1,3,5,6],[2,4]] => 2
{{1,2},{3},{4,6},{5}} => [2,1,3,6,5,4] => [2,1,3,5,6,4] => [[1,3,4,6],[2,5]] => 3
{{1,2},{3},{4},{5,6}} => [2,1,3,4,6,5] => [2,1,3,4,6,5] => [[1,3,4,5],[2,6]] => 4
{{1,2},{3},{4},{5},{6}} => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [[1,3,4,5,6],[2]] => 1
{{1,3,4,5,6},{2}} => [3,2,4,5,6,1] => [2,6,5,4,3,1] => [[1,3],[2],[4],[5],[6]] => 13
{{1,3,4,5},{2,6}} => [3,6,4,5,1,2] => [5,4,1,6,3,2] => [[1,2],[3,6],[4],[5]] => 11
{{1,3,4,5},{2},{6}} => [3,2,4,5,1,6] => [2,5,4,3,1,6] => [[1,3,6],[2],[4],[5]] => 8
{{1,3,4,6},{2,5}} => [3,5,4,6,2,1] => [6,4,2,5,3,1] => [[1,3],[2,5],[4],[6]] => 10
{{1,3,4},{2,5,6}} => [3,5,4,1,6,2] => [4,1,6,5,3,2] => [[1,2],[3,5],[4],[6]] => 12
{{1,3,4},{2,5},{6}} => [3,5,4,1,2,6] => [4,1,5,3,2,6] => [[1,2,6],[3,5],[4]] => 7
{{1,3,4,6},{2},{5}} => [3,2,4,6,5,1] => [2,5,6,4,3,1] => [[1,3,6],[2],[4],[5]] => 8
{{1,3,4},{2,6},{5}} => [3,6,4,1,5,2] => [4,1,5,6,3,2] => [[1,2,6],[3,5],[4]] => 7
{{1,3,4},{2},{5,6}} => [3,2,4,1,6,5] => [2,4,3,1,6,5] => [[1,3,5],[2,6],[4]] => 6
{{1,3,4},{2},{5},{6}} => [3,2,4,1,5,6] => [2,4,3,1,5,6] => [[1,3,5,6],[2],[4]] => 4
{{1,3,5,6},{2,4}} => [3,4,5,2,6,1] => [6,5,2,4,3,1] => [[1,3],[2],[4],[5],[6]] => 13
{{1,3,5},{2,4,6}} => [3,4,5,6,1,2] => [6,1,5,4,3,2] => [[1,2],[3],[4],[5],[6]] => 14
{{1,3,5},{2,4},{6}} => [3,4,5,2,1,6] => [5,2,4,3,1,6] => [[1,3,6],[2],[4],[5]] => 8
{{1,3,6},{2,4,5}} => [3,4,6,5,2,1] => [5,2,6,4,3,1] => [[1,3],[2,6],[4],[5]] => 9
{{1,3},{2,4,5,6}} => [3,4,1,5,6,2] => [6,5,4,1,3,2] => [[1,2],[3],[4],[5],[6]] => 14
{{1,3},{2,4,5},{6}} => [3,4,1,5,2,6] => [5,4,1,3,2,6] => [[1,2,6],[3],[4],[5]] => 9
{{1,3,6},{2,4},{5}} => [3,4,6,2,5,1] => [5,6,2,4,3,1] => [[1,3],[2,6],[4],[5]] => 9
{{1,3},{2,4,6},{5}} => [3,4,1,6,5,2] => [5,6,4,1,3,2] => [[1,2],[3,6],[4],[5]] => 11
{{1,3},{2,4},{5,6}} => [3,4,1,2,6,5] => [4,1,3,2,6,5] => [[1,2,5],[3,6],[4]] => 8
{{1,3},{2,4},{5},{6}} => [3,4,1,2,5,6] => [4,1,3,2,5,6] => [[1,2,5,6],[3],[4]] => 5
{{1,3,5,6},{2},{4}} => [3,2,5,4,6,1] => [2,4,6,5,3,1] => [[1,3,5],[2],[4],[6]] => 9
{{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => [4,5,1,6,3,2] => [[1,2,6],[3,5],[4]] => 7
{{1,3,5},{2},{4,6}} => [3,2,5,6,1,4] => [2,6,3,1,5,4] => [[1,3,4],[2,5],[6]] => 8
{{1,3,5},{2},{4},{6}} => [3,2,5,4,1,6] => [2,4,5,3,1,6] => [[1,3,5,6],[2],[4]] => 4
{{1,3,6},{2,5},{4}} => [3,5,6,4,2,1] => [4,6,2,5,3,1] => [[1,3],[2,5],[4],[6]] => 10
{{1,3},{2,5,6},{4}} => [3,5,1,4,6,2] => [4,6,5,1,3,2] => [[1,2],[3,5],[4],[6]] => 12
{{1,3},{2,5},{4,6}} => [3,5,1,6,2,4] => [6,1,3,2,5,4] => [[1,2,4],[3,5],[6]] => 10
{{1,3},{2,5},{4},{6}} => [3,5,1,4,2,6] => [4,5,1,3,2,6] => [[1,2,6],[3,5],[4]] => 7
{{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => [2,5,4,6,3,1] => [[1,3,6],[2],[4],[5]] => 8
{{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => [5,4,6,1,3,2] => [[1,2],[3,6],[4],[5]] => 11
{{1,3},{2},{4,5,6}} => [3,2,1,5,6,4] => [2,3,1,6,5,4] => [[1,3,4],[2,5],[6]] => 8
{{1,3},{2},{4,5},{6}} => [3,2,1,5,4,6] => [2,3,1,5,4,6] => [[1,3,4,6],[2,5]] => 3
{{1,3,6},{2},{4},{5}} => [3,2,6,4,5,1] => [2,4,5,6,3,1] => [[1,3,5,6],[2],[4]] => 4
{{1,3},{2,6},{4},{5}} => [3,6,1,4,5,2] => [4,5,6,1,3,2] => [[1,2,6],[3,5],[4]] => 7
{{1,3},{2},{4,6},{5}} => [3,2,1,6,5,4] => [2,3,1,5,6,4] => [[1,3,4,6],[2,5]] => 3
{{1,3},{2},{4},{5,6}} => [3,2,1,4,6,5] => [2,3,1,4,6,5] => [[1,3,4,5],[2,6]] => 4
{{1,3},{2},{4},{5},{6}} => [3,2,1,4,5,6] => [2,3,1,4,5,6] => [[1,3,4,5,6],[2]] => 1
{{1,4,5,6},{2,3}} => [4,3,2,5,6,1] => [3,2,6,5,4,1] => [[1,4],[2,5],[3],[6]] => 9
{{1,4,5},{2,3,6}} => [4,3,6,5,1,2] => [5,3,1,6,4,2] => [[1,2],[3,4],[5,6]] => 12
{{1,4,5},{2,3},{6}} => [4,3,2,5,1,6] => [3,2,5,4,1,6] => [[1,4,6],[2,5],[3]] => 4
{{1,4,6},{2,3,5}} => [4,3,5,6,2,1] => [6,3,2,5,4,1] => [[1,4],[2,5],[3],[6]] => 9
{{1,4},{2,3,5,6}} => [4,3,5,1,6,2] => [6,5,3,1,4,2] => [[1,2],[3,4],[5],[6]] => 13
{{1,4},{2,3,5},{6}} => [4,3,5,1,2,6] => [5,3,1,4,2,6] => [[1,2,6],[3,4],[5]] => 8
{{1,4,6},{2,3},{5}} => [4,3,2,6,5,1] => [3,2,5,6,4,1] => [[1,4,6],[2,5],[3]] => 4
{{1,4},{2,3,6},{5}} => [4,3,6,1,5,2] => [5,6,3,1,4,2] => [[1,2],[3,4],[5,6]] => 12
{{1,4},{2,3},{5,6}} => [4,3,2,1,6,5] => [3,2,4,1,6,5] => [[1,4,5],[2,6],[3]] => 5
{{1,4},{2,3},{5},{6}} => [4,3,2,1,5,6] => [3,2,4,1,5,6] => [[1,4,5,6],[2],[3]] => 3
{{1,5,6},{2,3,4}} => [5,3,4,2,6,1] => [4,3,2,6,5,1] => [[1,5],[2,6],[3],[4]] => 7
{{1,5},{2,3,4,6}} => [5,3,4,6,1,2] => [6,4,3,1,5,2] => [[1,2],[3,5],[4],[6]] => 12
{{1,5},{2,3,4},{6}} => [5,3,4,2,1,6] => [4,3,2,5,1,6] => [[1,5,6],[2],[3],[4]] => 6
{{1,6},{2,3,4,5}} => [6,3,4,5,2,1] => [5,4,3,2,6,1] => [[1,6],[2],[3],[4],[5]] => 10
{{1},{2,3,4,5,6}} => [1,3,4,5,6,2] => [1,6,5,4,3,2] => [[1,2],[3],[4],[5],[6]] => 14
{{1},{2,3,4,5},{6}} => [1,3,4,5,2,6] => [1,5,4,3,2,6] => [[1,2,6],[3],[4],[5]] => 9
{{1,6},{2,3,4},{5}} => [6,3,4,2,5,1] => [4,3,2,5,6,1] => [[1,5,6],[2],[3],[4]] => 6
{{1},{2,3,4,6},{5}} => [1,3,4,6,5,2] => [1,5,6,4,3,2] => [[1,2,6],[3],[4],[5]] => 9
{{1},{2,3,4},{5,6}} => [1,3,4,2,6,5] => [1,4,3,2,6,5] => [[1,2,5],[3,6],[4]] => 8
{{1},{2,3,4},{5},{6}} => [1,3,4,2,5,6] => [1,4,3,2,5,6] => [[1,2,5,6],[3],[4]] => 5
{{1,5,6},{2,3},{4}} => [5,3,2,4,6,1] => [3,2,4,6,5,1] => [[1,4,5],[2,6],[3]] => 5
{{1,5},{2,3,6},{4}} => [5,3,6,4,1,2] => [4,6,3,1,5,2] => [[1,2],[3,5],[4,6]] => 10
{{1,5},{2,3},{4,6}} => [5,3,2,6,1,4] => [3,2,6,1,5,4] => [[1,4],[2,5],[3,6]] => 6
{{1,5},{2,3},{4},{6}} => [5,3,2,4,1,6] => [3,2,4,5,1,6] => [[1,4,5,6],[2],[3]] => 3
{{1,6},{2,3,5},{4}} => [6,3,5,4,2,1] => [4,5,3,2,6,1] => [[1,5,6],[2],[3],[4]] => 6
{{1},{2,3,5,6},{4}} => [1,3,5,4,6,2] => [1,4,6,5,3,2] => [[1,2,5],[3],[4],[6]] => 10
{{1},{2,3,5},{4,6}} => [1,3,5,6,2,4] => [1,6,3,2,5,4] => [[1,2,4],[3,5],[6]] => 10
{{1},{2,3,5},{4},{6}} => [1,3,5,4,2,6] => [1,4,5,3,2,6] => [[1,2,5,6],[3],[4]] => 5
{{1,6},{2,3},{4,5}} => [6,3,2,5,4,1] => [3,2,5,4,6,1] => [[1,4,6],[2,5],[3]] => 4
{{1},{2,3,6},{4,5}} => [1,3,6,5,4,2] => [1,5,4,6,3,2] => [[1,2,6],[3],[4],[5]] => 9
{{1},{2,3},{4,5,6}} => [1,3,2,5,6,4] => [1,3,2,6,5,4] => [[1,2,4],[3,5],[6]] => 10
{{1},{2,3},{4,5},{6}} => [1,3,2,5,4,6] => [1,3,2,5,4,6] => [[1,2,4,6],[3,5]] => 5
{{1,6},{2,3},{4},{5}} => [6,3,2,4,5,1] => [3,2,4,5,6,1] => [[1,4,5,6],[2],[3]] => 3
{{1},{2,3,6},{4},{5}} => [1,3,6,4,5,2] => [1,4,5,6,3,2] => [[1,2,5,6],[3],[4]] => 5
{{1},{2,3},{4,6},{5}} => [1,3,2,6,5,4] => [1,3,2,5,6,4] => [[1,2,4,6],[3,5]] => 5
{{1},{2,3},{4},{5,6}} => [1,3,2,4,6,5] => [1,3,2,4,6,5] => [[1,2,4,5],[3,6]] => 6
{{1},{2,3},{4},{5},{6}} => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [[1,2,4,5,6],[3]] => 2
{{1,4,5,6},{2},{3}} => [4,2,3,5,6,1] => [2,3,6,5,4,1] => [[1,3,4],[2],[5],[6]] => 10
{{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => [3,5,1,6,4,2] => [[1,2,6],[3,4],[5]] => 8
{{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => [2,5,1,6,4,3] => [[1,3,6],[2,4],[5]] => 6
{{1,4,5},{2},{3},{6}} => [4,2,3,5,1,6] => [2,3,5,4,1,6] => [[1,3,4,6],[2],[5]] => 5
{{1,4,6},{2,5},{3}} => [4,5,3,6,2,1] => [3,6,2,5,4,1] => [[1,4],[2,5],[3],[6]] => 9
{{1,4},{2,5,6},{3}} => [4,5,3,1,6,2] => [3,6,5,1,4,2] => [[1,2],[3,4],[5],[6]] => 13
{{1,4},{2,5},{3,6}} => [4,5,6,1,2,3] => [6,1,5,2,4,3] => [[1,2,3],[4],[5],[6]] => 12
{{1,4},{2,5},{3},{6}} => [4,5,3,1,2,6] => [3,5,1,4,2,6] => [[1,2,6],[3,4],[5]] => 8
{{1,4,6},{2},{3,5}} => [4,2,5,6,3,1] => [2,6,3,5,4,1] => [[1,3,4],[2],[5],[6]] => 10
{{1,4},{2,6},{3,5}} => [4,6,5,1,3,2] => [5,1,6,3,4,2] => [[1,2,4],[3,6],[5]] => 9
{{1,4},{2},{3,5,6}} => [4,2,5,1,6,3] => [2,6,5,1,4,3] => [[1,3],[2,4],[5],[6]] => 11
{{1,4},{2},{3,5},{6}} => [4,2,5,1,3,6] => [2,5,1,4,3,6] => [[1,3,6],[2,4],[5]] => 6
{{1,4,6},{2},{3},{5}} => [4,2,3,6,5,1] => [2,3,5,6,4,1] => [[1,3,4,6],[2],[5]] => 5
{{1,4},{2,6},{3},{5}} => [4,6,3,1,5,2] => [3,5,6,1,4,2] => [[1,2,6],[3,4],[5]] => 8
{{1,4},{2},{3,6},{5}} => [4,2,6,1,5,3] => [2,5,6,1,4,3] => [[1,3,6],[2,4],[5]] => 6
{{1,4},{2},{3},{5,6}} => [4,2,3,1,6,5] => [2,3,4,1,6,5] => [[1,3,4,5],[2,6]] => 4
{{1,4},{2},{3},{5},{6}} => [4,2,3,1,5,6] => [2,3,4,1,5,6] => [[1,3,4,5,6],[2]] => 1
{{1,5,6},{2,4},{3}} => [5,4,3,2,6,1] => [3,4,2,6,5,1] => [[1,4,5],[2,6],[3]] => 5
{{1,5},{2,4,6},{3}} => [5,4,3,6,1,2] => [3,6,4,1,5,2] => [[1,2,5],[3,4],[6]] => 9
{{1,5},{2,4},{3,6}} => [5,4,6,2,1,3] => [6,2,4,1,5,3] => [[1,3,5],[2,4],[6]] => 7
{{1,5},{2,4},{3},{6}} => [5,4,3,2,1,6] => [3,4,2,5,1,6] => [[1,4,5,6],[2],[3]] => 3
{{1,6},{2,4,5},{3}} => [6,4,3,5,2,1] => [3,5,4,2,6,1] => [[1,4,6],[2],[3],[5]] => 7
{{1},{2,4,5,6},{3}} => [1,4,3,5,6,2] => [1,3,6,5,4,2] => [[1,2,4],[3],[5],[6]] => 11
{{1},{2,4,5},{3,6}} => [1,4,6,5,2,3] => [1,5,2,6,4,3] => [[1,2,3],[4,6],[5]] => 10
{{1},{2,4,5},{3},{6}} => [1,4,3,5,2,6] => [1,3,5,4,2,6] => [[1,2,4,6],[3],[5]] => 6
{{1,6},{2,4},{3,5}} => [6,4,5,2,3,1] => [5,2,4,3,6,1] => [[1,3,6],[2],[4],[5]] => 8
{{1},{2,4,6},{3,5}} => [1,4,5,6,3,2] => [1,6,3,5,4,2] => [[1,2,4],[3],[5],[6]] => 11
{{1},{2,4},{3,5,6}} => [1,4,5,2,6,3] => [1,6,5,2,4,3] => [[1,2,3],[4],[5],[6]] => 12
{{1},{2,4},{3,5},{6}} => [1,4,5,2,3,6] => [1,5,2,4,3,6] => [[1,2,3,6],[4],[5]] => 7
{{1,6},{2,4},{3},{5}} => [6,4,3,2,5,1] => [3,4,2,5,6,1] => [[1,4,5,6],[2],[3]] => 3
{{1},{2,4,6},{3},{5}} => [1,4,3,6,5,2] => [1,3,5,6,4,2] => [[1,2,4,6],[3],[5]] => 6
{{1},{2,4},{3,6},{5}} => [1,4,6,2,5,3] => [1,5,6,2,4,3] => [[1,2,3],[4,6],[5]] => 10
{{1},{2,4},{3},{5,6}} => [1,4,3,2,6,5] => [1,3,4,2,6,5] => [[1,2,4,5],[3,6]] => 6
{{1},{2,4},{3},{5},{6}} => [1,4,3,2,5,6] => [1,3,4,2,5,6] => [[1,2,4,5,6],[3]] => 2
{{1,5,6},{2},{3,4}} => [5,2,4,3,6,1] => [2,4,3,6,5,1] => [[1,3,5],[2,6],[4]] => 6
{{1,5},{2,6},{3,4}} => [5,6,4,3,1,2] => [4,3,6,1,5,2] => [[1,2],[3,5],[4,6]] => 10
{{1,5},{2},{3,4,6}} => [5,2,4,6,1,3] => [2,6,4,1,5,3] => [[1,3,5],[2,4],[6]] => 7
{{1,5},{2},{3,4},{6}} => [5,2,4,3,1,6] => [2,4,3,5,1,6] => [[1,3,5,6],[2],[4]] => 4
{{1,6},{2,5},{3,4}} => [6,5,4,3,2,1] => [4,3,5,2,6,1] => [[1,5,6],[2],[3],[4]] => 6
{{1},{2,5,6},{3,4}} => [1,5,4,3,6,2] => [1,4,3,6,5,2] => [[1,2,5],[3,6],[4]] => 8
{{1},{2,5},{3,4,6}} => [1,5,4,6,2,3] => [1,6,4,2,5,3] => [[1,2,3],[4,5],[6]] => 11
{{1},{2,5},{3,4},{6}} => [1,5,4,3,2,6] => [1,4,3,5,2,6] => [[1,2,5,6],[3],[4]] => 5
{{1,6},{2},{3,4,5}} => [6,2,4,5,3,1] => [2,5,4,3,6,1] => [[1,3,6],[2],[4],[5]] => 8
{{1},{2,6},{3,4,5}} => [1,6,4,5,3,2] => [1,5,4,3,6,2] => [[1,2,6],[3],[4],[5]] => 9
{{1},{2},{3,4,5,6}} => [1,2,4,5,6,3] => [1,2,6,5,4,3] => [[1,2,3],[4],[5],[6]] => 12
{{1},{2},{3,4,5},{6}} => [1,2,4,5,3,6] => [1,2,5,4,3,6] => [[1,2,3,6],[4],[5]] => 7
{{1,6},{2},{3,4},{5}} => [6,2,4,3,5,1] => [2,4,3,5,6,1] => [[1,3,5,6],[2],[4]] => 4
{{1},{2,6},{3,4},{5}} => [1,6,4,3,5,2] => [1,4,3,5,6,2] => [[1,2,5,6],[3],[4]] => 5
{{1},{2},{3,4,6},{5}} => [1,2,4,6,5,3] => [1,2,5,6,4,3] => [[1,2,3,6],[4],[5]] => 7
{{1},{2},{3,4},{5,6}} => [1,2,4,3,6,5] => [1,2,4,3,6,5] => [[1,2,3,5],[4,6]] => 7
{{1},{2},{3,4},{5},{6}} => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [[1,2,3,5,6],[4]] => 3
{{1,5,6},{2},{3},{4}} => [5,2,3,4,6,1] => [2,3,4,6,5,1] => [[1,3,4,5],[2],[6]] => 6
{{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => [3,4,6,1,5,2] => [[1,2,5],[3,4],[6]] => 9
{{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => [2,4,6,1,5,3] => [[1,3,5],[2,4],[6]] => 7
{{1,5},{2},{3},{4,6}} => [5,2,3,6,1,4] => [2,3,6,1,5,4] => [[1,3,4],[2,5],[6]] => 8
{{1,5},{2},{3},{4},{6}} => [5,2,3,4,1,6] => [2,3,4,5,1,6] => [[1,3,4,5,6],[2]] => 1
{{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => [3,4,5,2,6,1] => [[1,4,5,6],[2],[3]] => 3
{{1},{2,5,6},{3},{4}} => [1,5,3,4,6,2] => [1,3,4,6,5,2] => [[1,2,4,5],[3],[6]] => 7
{{1},{2,5},{3,6},{4}} => [1,5,6,4,2,3] => [1,4,6,2,5,3] => [[1,2,3],[4,5],[6]] => 11
{{1},{2,5},{3},{4,6}} => [1,5,3,6,2,4] => [1,3,6,2,5,4] => [[1,2,4],[3,5],[6]] => 10
{{1},{2,5},{3},{4},{6}} => [1,5,3,4,2,6] => [1,3,4,5,2,6] => [[1,2,4,5,6],[3]] => 2
{{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => [2,4,5,3,6,1] => [[1,3,5,6],[2],[4]] => 4
{{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => [1,4,5,3,6,2] => [[1,2,5,6],[3],[4]] => 5
{{1},{2},{3,5,6},{4}} => [1,2,5,4,6,3] => [1,2,4,6,5,3] => [[1,2,3,5],[4],[6]] => 8
{{1},{2},{3,5},{4,6}} => [1,2,5,6,3,4] => [1,2,6,3,5,4] => [[1,2,3,4],[5],[6]] => 9
{{1},{2},{3,5},{4},{6}} => [1,2,5,4,3,6] => [1,2,4,5,3,6] => [[1,2,3,5,6],[4]] => 3
{{1,6},{2},{3},{4,5}} => [6,2,3,5,4,1] => [2,3,5,4,6,1] => [[1,3,4,6],[2],[5]] => 5
{{1},{2,6},{3},{4,5}} => [1,6,3,5,4,2] => [1,3,5,4,6,2] => [[1,2,4,6],[3],[5]] => 6
{{1},{2},{3,6},{4,5}} => [1,2,6,5,4,3] => [1,2,5,4,6,3] => [[1,2,3,6],[4],[5]] => 7
{{1},{2},{3},{4,5,6}} => [1,2,3,5,6,4] => [1,2,3,6,5,4] => [[1,2,3,4],[5],[6]] => 9
{{1},{2},{3},{4,5},{6}} => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [[1,2,3,4,6],[5]] => 4
{{1,6},{2},{3},{4},{5}} => [6,2,3,4,5,1] => [2,3,4,5,6,1] => [[1,3,4,5,6],[2]] => 1
{{1},{2,6},{3},{4},{5}} => [1,6,3,4,5,2] => [1,3,4,5,6,2] => [[1,2,4,5,6],[3]] => 2
{{1},{2},{3,6},{4},{5}} => [1,2,6,4,5,3] => [1,2,4,5,6,3] => [[1,2,3,5,6],[4]] => 3
{{1},{2},{3},{4,6},{5}} => [1,2,3,6,5,4] => [1,2,3,5,6,4] => [[1,2,3,4,6],[5]] => 4
{{1},{2},{3},{4},{5,6}} => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [[1,2,3,4,5],[6]] => 5
{{1},{2},{3},{4},{5},{6}} => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [[1,2,3,4,5,6]] => 0
{{1,2,3,4,5,6,7}} => [2,3,4,5,6,7,1] => [7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7]] => 21
{{1,2,3,4,5,6},{7}} => [2,3,4,5,6,1,7] => [6,5,4,3,2,1,7] => [[1,7],[2],[3],[4],[5],[6]] => 15
{{1,2,3,4,5,7},{6}} => [2,3,4,5,7,6,1] => [6,7,5,4,3,2,1] => [[1,7],[2],[3],[4],[5],[6]] => 15
{{1,2,3,4,5},{6,7}} => [2,3,4,5,1,7,6] => [5,4,3,2,1,7,6] => [[1,6],[2,7],[3],[4],[5]] => 11
{{1,2,3,4,5},{6},{7}} => [2,3,4,5,1,6,7] => [5,4,3,2,1,6,7] => [[1,6,7],[2],[3],[4],[5]] => 10
{{1,2,3,4,6,7},{5}} => [2,3,4,6,5,7,1] => [5,7,6,4,3,2,1] => [[1,6],[2],[3],[4],[5],[7]] => 16
{{1,2,3,4,6},{5,7}} => [2,3,4,6,7,1,5] => [7,4,3,2,1,6,5] => [[1,5],[2,6],[3],[4],[7]] => 13
{{1,2,3,4,6},{5},{7}} => [2,3,4,6,5,1,7] => [5,6,4,3,2,1,7] => [[1,6,7],[2],[3],[4],[5]] => 10
{{1,2,3,4,7},{5,6}} => [2,3,4,7,6,5,1] => [6,5,7,4,3,2,1] => [[1,7],[2],[3],[4],[5],[6]] => 15
{{1,2,3,4},{5,6,7}} => [2,3,4,1,6,7,5] => [4,3,2,1,7,6,5] => [[1,5],[2,6],[3,7],[4]] => 9
{{1,2,3,4},{5,6},{7}} => [2,3,4,1,6,5,7] => [4,3,2,1,6,5,7] => [[1,5,7],[2,6],[3],[4]] => 7
{{1,2,3,4,7},{5},{6}} => [2,3,4,7,5,6,1] => [5,6,7,4,3,2,1] => [[1,6,7],[2],[3],[4],[5]] => 10
{{1,2,3,4},{5,7},{6}} => [2,3,4,1,7,6,5] => [4,3,2,1,6,7,5] => [[1,5,7],[2,6],[3],[4]] => 7
{{1,2,3,4},{5},{6,7}} => [2,3,4,1,5,7,6] => [4,3,2,1,5,7,6] => [[1,5,6],[2,7],[3],[4]] => 8
{{1,2,3,4},{5},{6},{7}} => [2,3,4,1,5,6,7] => [4,3,2,1,5,6,7] => [[1,5,6,7],[2],[3],[4]] => 6
{{1,2,3,5,6,7},{4}} => [2,3,5,4,6,7,1] => [4,7,6,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7]] => 17
{{1,2,3,5,6},{4,7}} => [2,3,5,7,6,1,4] => [6,3,2,1,7,5,4] => [[1,4],[2,5],[3,7],[6]] => 11
{{1,2,3,5,6},{4},{7}} => [2,3,5,4,6,1,7] => [4,6,5,3,2,1,7] => [[1,5,7],[2],[3],[4],[6]] => 11
{{1,2,3,5,7},{4,6}} => [2,3,5,6,7,4,1] => [7,4,6,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7]] => 17
{{1,2,3,5},{4,6,7}} => [2,3,5,6,1,7,4] => [7,6,3,2,1,5,4] => [[1,4],[2,5],[3],[6],[7]] => 15
{{1,2,3,5},{4,6},{7}} => [2,3,5,6,1,4,7] => [6,3,2,1,5,4,7] => [[1,4,7],[2,5],[3],[6]] => 9
{{1,2,3,5,7},{4},{6}} => [2,3,5,4,7,6,1] => [4,6,7,5,3,2,1] => [[1,5,7],[2],[3],[4],[6]] => 11
{{1,2,3,5},{4,7},{6}} => [2,3,5,7,1,6,4] => [6,7,3,2,1,5,4] => [[1,4],[2,5],[3,7],[6]] => 11
{{1,2,3,5},{4},{6,7}} => [2,3,5,4,1,7,6] => [4,5,3,2,1,7,6] => [[1,5,6],[2,7],[3],[4]] => 8
{{1,2,3,5},{4},{6},{7}} => [2,3,5,4,1,6,7] => [4,5,3,2,1,6,7] => [[1,5,6,7],[2],[3],[4]] => 6
{{1,2,3,6,7},{4,5}} => [2,3,6,5,4,7,1] => [5,4,7,6,3,2,1] => [[1,6],[2,7],[3],[4],[5]] => 11
{{1,2,3,6},{4,5,7}} => [2,3,6,5,7,1,4] => [7,5,3,2,1,6,4] => [[1,4],[2,6],[3],[5],[7]] => 14
{{1,2,3,6},{4,5},{7}} => [2,3,6,5,4,1,7] => [5,4,6,3,2,1,7] => [[1,6,7],[2],[3],[4],[5]] => 10
{{1,2,3,7},{4,5,6}} => [2,3,7,5,6,4,1] => [6,5,4,7,3,2,1] => [[1,7],[2],[3],[4],[5],[6]] => 15
{{1,2,3},{4,5,6,7}} => [2,3,1,5,6,7,4] => [3,2,1,7,6,5,4] => [[1,4],[2,5],[3,6],[7]] => 12
{{1,2,3},{4,5,6},{7}} => [2,3,1,5,6,4,7] => [3,2,1,6,5,4,7] => [[1,4,7],[2,5],[3,6]] => 6
{{1,2,3,7},{4,5},{6}} => [2,3,7,5,4,6,1] => [5,4,6,7,3,2,1] => [[1,6,7],[2],[3],[4],[5]] => 10
{{1,2,3},{4,5,7},{6}} => [2,3,1,5,7,6,4] => [3,2,1,6,7,5,4] => [[1,4,7],[2,5],[3,6]] => 6
{{1,2,3},{4,5},{6,7}} => [2,3,1,5,4,7,6] => [3,2,1,5,4,7,6] => [[1,4,6],[2,5,7],[3]] => 5
{{1,2,3},{4,5},{6},{7}} => [2,3,1,5,4,6,7] => [3,2,1,5,4,6,7] => [[1,4,6,7],[2,5],[3]] => 4
{{1,2,3,6,7},{4},{5}} => [2,3,6,4,5,7,1] => [4,5,7,6,3,2,1] => [[1,5,6],[2],[3],[4],[7]] => 12
{{1,2,3,6},{4,7},{5}} => [2,3,6,7,5,1,4] => [5,7,3,2,1,6,4] => [[1,4],[2,6],[3,7],[5]] => 10
{{1,2,3,6},{4},{5,7}} => [2,3,6,4,7,1,5] => [4,7,3,2,1,6,5] => [[1,5],[2,6],[3,7],[4]] => 9
{{1,2,3,6},{4},{5},{7}} => [2,3,6,4,5,1,7] => [4,5,6,3,2,1,7] => [[1,5,6,7],[2],[3],[4]] => 6
{{1,2,3,7},{4,6},{5}} => [2,3,7,6,5,4,1] => [5,6,4,7,3,2,1] => [[1,6,7],[2],[3],[4],[5]] => 10
{{1,2,3},{4,6,7},{5}} => [2,3,1,6,5,7,4] => [3,2,1,5,7,6,4] => [[1,4,6],[2,5],[3,7]] => 7
{{1,2,3},{4,6},{5,7}} => [2,3,1,6,7,4,5] => [3,2,1,7,4,6,5] => [[1,4,5],[2,6],[3,7]] => 8
{{1,2,3},{4,6},{5},{7}} => [2,3,1,6,5,4,7] => [3,2,1,5,6,4,7] => [[1,4,6,7],[2,5],[3]] => 4
{{1,2,3,7},{4},{5,6}} => [2,3,7,4,6,5,1] => [4,6,5,7,3,2,1] => [[1,5,7],[2],[3],[4],[6]] => 11
{{1,2,3},{4,7},{5,6}} => [2,3,1,7,6,5,4] => [3,2,1,6,5,7,4] => [[1,4,7],[2,5],[3,6]] => 6
{{1,2,3},{4},{5,6,7}} => [2,3,1,4,6,7,5] => [3,2,1,4,7,6,5] => [[1,4,5],[2,6],[3,7]] => 8
{{1,2,3},{4},{5,6},{7}} => [2,3,1,4,6,5,7] => [3,2,1,4,6,5,7] => [[1,4,5,7],[2,6],[3]] => 5
{{1,2,3,7},{4},{5},{6}} => [2,3,7,4,5,6,1] => [4,5,6,7,3,2,1] => [[1,5,6,7],[2],[3],[4]] => 6
{{1,2,3},{4,7},{5},{6}} => [2,3,1,7,5,6,4] => [3,2,1,5,6,7,4] => [[1,4,6,7],[2,5],[3]] => 4
{{1,2,3},{4},{5,7},{6}} => [2,3,1,4,7,6,5] => [3,2,1,4,6,7,5] => [[1,4,5,7],[2,6],[3]] => 5
{{1,2,3},{4},{5},{6,7}} => [2,3,1,4,5,7,6] => [3,2,1,4,5,7,6] => [[1,4,5,6],[2,7],[3]] => 6
{{1,2,3},{4},{5},{6},{7}} => [2,3,1,4,5,6,7] => [3,2,1,4,5,6,7] => [[1,4,5,6,7],[2],[3]] => 3
{{1,2,4,5,6,7},{3}} => [2,4,3,5,6,7,1] => [3,7,6,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7]] => 18
{{1,2,4,5,6},{3,7}} => [2,4,7,5,6,1,3] => [6,5,2,1,7,4,3] => [[1,3],[2,4],[5,7],[6]] => 15
{{1,2,4,5,6},{3},{7}} => [2,4,3,5,6,1,7] => [3,6,5,4,2,1,7] => [[1,4,7],[2],[3],[5],[6]] => 12
{{1,2,4,5,7},{3,6}} => [2,4,6,5,7,3,1] => [7,5,3,6,4,2,1] => [[1,4],[2,6],[3],[5],[7]] => 14
{{1,2,4,5},{3,6,7}} => [2,4,6,5,1,7,3] => [5,2,1,7,6,4,3] => [[1,3],[2,4],[5,6],[7]] => 16
{{1,2,4,5},{3,6},{7}} => [2,4,6,5,1,3,7] => [5,2,1,6,4,3,7] => [[1,3,7],[2,4],[5,6]] => 10
{{1,2,4,5,7},{3},{6}} => [2,4,3,5,7,6,1] => [3,6,7,5,4,2,1] => [[1,4,7],[2],[3],[5],[6]] => 12
{{1,2,4,5},{3,7},{6}} => [2,4,7,5,1,6,3] => [5,2,1,6,7,4,3] => [[1,3,7],[2,4],[5,6]] => 10
{{1,2,4,5},{3},{6,7}} => [2,4,3,5,1,7,6] => [3,5,4,2,1,7,6] => [[1,4,6],[2,7],[3],[5]] => 9
{{1,2,4,5},{3},{6},{7}} => [2,4,3,5,1,6,7] => [3,5,4,2,1,6,7] => [[1,4,6,7],[2],[3],[5]] => 7
{{1,2,4,6,7},{3,5}} => [2,4,5,6,3,7,1] => [7,6,3,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7]] => 18
{{1,2,4,6},{3,5,7}} => [2,4,5,6,7,1,3] => [7,2,1,6,5,4,3] => [[1,3],[2,4],[5],[6],[7]] => 17
{{1,2,4,6},{3,5},{7}} => [2,4,5,6,3,1,7] => [6,3,5,4,2,1,7] => [[1,4,7],[2],[3],[5],[6]] => 12
{{1,2,4,7},{3,5,6}} => [2,4,5,7,6,3,1] => [6,3,7,5,4,2,1] => [[1,4],[2,7],[3],[5],[6]] => 13
{{1,2,4},{3,5,6,7}} => [2,4,5,1,6,7,3] => [7,6,5,2,1,4,3] => [[1,3],[2,4],[5],[6],[7]] => 17
{{1,2,4},{3,5,6},{7}} => [2,4,5,1,6,3,7] => [6,5,2,1,4,3,7] => [[1,3,7],[2,4],[5],[6]] => 11
{{1,2,4,7},{3,5},{6}} => [2,4,5,7,3,6,1] => [6,7,3,5,4,2,1] => [[1,4],[2,7],[3],[5],[6]] => 13
{{1,2,4},{3,5,7},{6}} => [2,4,5,1,7,6,3] => [6,7,5,2,1,4,3] => [[1,3],[2,4],[5,7],[6]] => 15
{{1,2,4},{3,5},{6,7}} => [2,4,5,1,3,7,6] => [5,2,1,4,3,7,6] => [[1,3,6],[2,4,7],[5]] => 7
{{1,2,4},{3,5},{6},{7}} => [2,4,5,1,3,6,7] => [5,2,1,4,3,6,7] => [[1,3,6,7],[2,4],[5]] => 6
{{1,2,4,6,7},{3},{5}} => [2,4,3,6,5,7,1] => [3,5,7,6,4,2,1] => [[1,4,6],[2],[3],[5],[7]] => 13
{{1,2,4,6},{3,7},{5}} => [2,4,7,6,5,1,3] => [5,6,2,1,7,4,3] => [[1,3,7],[2,4],[5,6]] => 10
{{1,2,4,6},{3},{5,7}} => [2,4,3,6,7,1,5] => [3,7,4,2,1,6,5] => [[1,4,5],[2,6],[3],[7]] => 11
{{1,2,4,6},{3},{5},{7}} => [2,4,3,6,5,1,7] => [3,5,6,4,2,1,7] => [[1,4,6,7],[2],[3],[5]] => 7
{{1,2,4,7},{3,6},{5}} => [2,4,6,7,5,3,1] => [5,7,3,6,4,2,1] => [[1,4],[2,6],[3],[5],[7]] => 14
{{1,2,4},{3,6,7},{5}} => [2,4,6,1,5,7,3] => [5,7,6,2,1,4,3] => [[1,3],[2,4],[5,6],[7]] => 16
{{1,2,4},{3,6},{5,7}} => [2,4,6,1,7,3,5] => [7,2,1,4,3,6,5] => [[1,3,5],[2,4,6],[7]] => 9
{{1,2,4},{3,6},{5},{7}} => [2,4,6,1,5,3,7] => [5,6,2,1,4,3,7] => [[1,3,7],[2,4],[5,6]] => 10
{{1,2,4,7},{3},{5,6}} => [2,4,3,7,6,5,1] => [3,6,5,7,4,2,1] => [[1,4,7],[2],[3],[5],[6]] => 12
{{1,2,4},{3,7},{5,6}} => [2,4,7,1,6,5,3] => [6,5,7,2,1,4,3] => [[1,3],[2,4],[5,7],[6]] => 15
{{1,2,4},{3},{5,6,7}} => [2,4,3,1,6,7,5] => [3,4,2,1,7,6,5] => [[1,4,5],[2,6],[3,7]] => 8
{{1,2,4},{3},{5,6},{7}} => [2,4,3,1,6,5,7] => [3,4,2,1,6,5,7] => [[1,4,5,7],[2,6],[3]] => 5
{{1,2,4,7},{3},{5},{6}} => [2,4,3,7,5,6,1] => [3,5,6,7,4,2,1] => [[1,4,6,7],[2],[3],[5]] => 7
{{1,2,4},{3,7},{5},{6}} => [2,4,7,1,5,6,3] => [5,6,7,2,1,4,3] => [[1,3,7],[2,4],[5,6]] => 10
{{1,2,4},{3},{5,7},{6}} => [2,4,3,1,7,6,5] => [3,4,2,1,6,7,5] => [[1,4,5,7],[2,6],[3]] => 5
{{1,2,4},{3},{5},{6,7}} => [2,4,3,1,5,7,6] => [3,4,2,1,5,7,6] => [[1,4,5,6],[2,7],[3]] => 6
{{1,2,4},{3},{5},{6},{7}} => [2,4,3,1,5,6,7] => [3,4,2,1,5,6,7] => [[1,4,5,6,7],[2],[3]] => 3
{{1,2,5,6,7},{3,4}} => [2,5,4,3,6,7,1] => [4,3,7,6,5,2,1] => [[1,5],[2,6],[3],[4],[7]] => 13
{{1,2,5,6},{3,4,7}} => [2,5,4,7,6,1,3] => [6,4,2,1,7,5,3] => [[1,3],[2,5],[4,7],[6]] => 12
{{1,2,5,6},{3,4},{7}} => [2,5,4,3,6,1,7] => [4,3,6,5,2,1,7] => [[1,5,7],[2,6],[3],[4]] => 7
{{1,2,5,7},{3,4,6}} => [2,5,4,6,7,3,1] => [7,4,3,6,5,2,1] => [[1,5],[2,6],[3],[4],[7]] => 13
{{1,2,5},{3,4,6,7}} => [2,5,4,6,1,7,3] => [7,6,4,2,1,5,3] => [[1,3],[2,5],[4],[6],[7]] => 16
{{1,2,5},{3,4,6},{7}} => [2,5,4,6,1,3,7] => [6,4,2,1,5,3,7] => [[1,3,7],[2,5],[4],[6]] => 10
{{1,2,5,7},{3,4},{6}} => [2,5,4,3,7,6,1] => [4,3,6,7,5,2,1] => [[1,5,7],[2,6],[3],[4]] => 7
{{1,2,5},{3,4,7},{6}} => [2,5,4,7,1,6,3] => [6,7,4,2,1,5,3] => [[1,3],[2,5],[4,7],[6]] => 12
{{1,2,5},{3,4},{6,7}} => [2,5,4,3,1,7,6] => [4,3,5,2,1,7,6] => [[1,5,6],[2,7],[3],[4]] => 8
{{1,2,5},{3,4},{6},{7}} => [2,5,4,3,1,6,7] => [4,3,5,2,1,6,7] => [[1,5,6,7],[2],[3],[4]] => 6
{{1,2,6,7},{3,4,5}} => [2,6,4,5,3,7,1] => [5,4,3,7,6,2,1] => [[1,6],[2,7],[3],[4],[5]] => 11
{{1,2,6},{3,4,5,7}} => [2,6,4,5,7,1,3] => [7,5,4,2,1,6,3] => [[1,3],[2,6],[4],[5],[7]] => 15
{{1,2,6},{3,4,5},{7}} => [2,6,4,5,3,1,7] => [5,4,3,6,2,1,7] => [[1,6,7],[2],[3],[4],[5]] => 10
{{1,2,7},{3,4,5,6}} => [2,7,4,5,6,3,1] => [6,5,4,3,7,2,1] => [[1,7],[2],[3],[4],[5],[6]] => 15
{{1,2},{3,4,5,6,7}} => [2,1,4,5,6,7,3] => [2,1,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7]] => 17
{{1,2},{3,4,5,6},{7}} => [2,1,4,5,6,3,7] => [2,1,6,5,4,3,7] => [[1,3,7],[2,4],[5],[6]] => 11
{{1,2,7},{3,4,5},{6}} => [2,7,4,5,3,6,1] => [5,4,3,6,7,2,1] => [[1,6,7],[2],[3],[4],[5]] => 10
{{1,2},{3,4,5,7},{6}} => [2,1,4,5,7,6,3] => [2,1,6,7,5,4,3] => [[1,3,7],[2,4],[5],[6]] => 11
{{1,2},{3,4,5},{6,7}} => [2,1,4,5,3,7,6] => [2,1,5,4,3,7,6] => [[1,3,6],[2,4,7],[5]] => 7
{{1,2},{3,4,5},{6},{7}} => [2,1,4,5,3,6,7] => [2,1,5,4,3,6,7] => [[1,3,6,7],[2,4],[5]] => 6
{{1,2,6,7},{3,4},{5}} => [2,6,4,3,5,7,1] => [4,3,5,7,6,2,1] => [[1,5,6],[2,7],[3],[4]] => 8
{{1,2,6},{3,4,7},{5}} => [2,6,4,7,5,1,3] => [5,7,4,2,1,6,3] => [[1,3],[2,6],[4,7],[5]] => 11
{{1,2,6},{3,4},{5,7}} => [2,6,4,3,7,1,5] => [4,3,7,2,1,6,5] => [[1,5],[2,6],[3,7],[4]] => 9
{{1,2,6},{3,4},{5},{7}} => [2,6,4,3,5,1,7] => [4,3,5,6,2,1,7] => [[1,5,6,7],[2],[3],[4]] => 6
{{1,2,7},{3,4,6},{5}} => [2,7,4,6,5,3,1] => [5,6,4,3,7,2,1] => [[1,6,7],[2],[3],[4],[5]] => 10
{{1,2},{3,4,6,7},{5}} => [2,1,4,6,5,7,3] => [2,1,5,7,6,4,3] => [[1,3,6],[2,4],[5],[7]] => 12
{{1,2},{3,4,6},{5,7}} => [2,1,4,6,7,3,5] => [2,1,7,4,3,6,5] => [[1,3,5],[2,4,6],[7]] => 9
{{1,2},{3,4,6},{5},{7}} => [2,1,4,6,5,3,7] => [2,1,5,6,4,3,7] => [[1,3,6,7],[2,4],[5]] => 6
{{1,2,7},{3,4},{5,6}} => [2,7,4,3,6,5,1] => [4,3,6,5,7,2,1] => [[1,5,7],[2,6],[3],[4]] => 7
{{1,2},{3,4,7},{5,6}} => [2,1,4,7,6,5,3] => [2,1,6,5,7,4,3] => [[1,3,7],[2,4],[5],[6]] => 11
{{1,2},{3,4},{5,6,7}} => [2,1,4,3,6,7,5] => [2,1,4,3,7,6,5] => [[1,3,5],[2,4,6],[7]] => 9
{{1,2},{3,4},{5,6},{7}} => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => [[1,3,5,7],[2,4,6]] => 3
{{1,2,7},{3,4},{5},{6}} => [2,7,4,3,5,6,1] => [4,3,5,6,7,2,1] => [[1,5,6,7],[2],[3],[4]] => 6
{{1,2},{3,4,7},{5},{6}} => [2,1,4,7,5,6,3] => [2,1,5,6,7,4,3] => [[1,3,6,7],[2,4],[5]] => 6
{{1,2},{3,4},{5,7},{6}} => [2,1,4,3,7,6,5] => [2,1,4,3,6,7,5] => [[1,3,5,7],[2,4,6]] => 3
{{1,2},{3,4},{5},{6,7}} => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => [[1,3,5,6],[2,4,7]] => 4
{{1,2},{3,4},{5},{6},{7}} => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7] => [[1,3,5,6,7],[2,4]] => 2
{{1,2,5,6,7},{3},{4}} => [2,5,3,4,6,7,1] => [3,4,7,6,5,2,1] => [[1,4,5],[2],[3],[6],[7]] => 14
{{1,2,5,6},{3,7},{4}} => [2,5,7,4,6,1,3] => [4,6,2,1,7,5,3] => [[1,3,7],[2,5],[4,6]] => 7
{{1,2,5,6},{3},{4,7}} => [2,5,3,7,6,1,4] => [3,6,2,1,7,5,4] => [[1,4,7],[2,5],[3,6]] => 6
{{1,2,5,6},{3},{4},{7}} => [2,5,3,4,6,1,7] => [3,4,6,5,2,1,7] => [[1,4,5,7],[2],[3],[6]] => 8
{{1,2,5,7},{3,6},{4}} => [2,5,6,4,7,3,1] => [4,7,3,6,5,2,1] => [[1,5],[2,6],[3],[4],[7]] => 13
{{1,2,5},{3,6,7},{4}} => [2,5,6,4,1,7,3] => [4,7,6,2,1,5,3] => [[1,3],[2,5],[4,6],[7]] => 13
{{1,2,5},{3,6},{4,7}} => [2,5,6,7,1,3,4] => [7,2,1,6,3,5,4] => [[1,3,4],[2,5],[6],[7]] => 14
{{1,2,5},{3,6},{4},{7}} => [2,5,6,4,1,3,7] => [4,6,2,1,5,3,7] => [[1,3,7],[2,5],[4,6]] => 7
{{1,2,5,7},{3},{4,6}} => [2,5,3,6,7,4,1] => [3,7,4,6,5,2,1] => [[1,4,5],[2],[3],[6],[7]] => 14
{{1,2,5},{3,7},{4,6}} => [2,5,7,6,1,4,3] => [6,2,1,7,4,5,3] => [[1,3,5],[2,4],[6,7]] => 12
{{1,2,5},{3},{4,6,7}} => [2,5,3,6,1,7,4] => [3,7,6,2,1,5,4] => [[1,4],[2,5],[3,6],[7]] => 12
{{1,2,5},{3},{4,6},{7}} => [2,5,3,6,1,4,7] => [3,6,2,1,5,4,7] => [[1,4,7],[2,5],[3,6]] => 6
{{1,2,5,7},{3},{4},{6}} => [2,5,3,4,7,6,1] => [3,4,6,7,5,2,1] => [[1,4,5,7],[2],[3],[6]] => 8
{{1,2,5},{3,7},{4},{6}} => [2,5,7,4,1,6,3] => [4,6,7,2,1,5,3] => [[1,3,7],[2,5],[4,6]] => 7
{{1,2,5},{3},{4,7},{6}} => [2,5,3,7,1,6,4] => [3,6,7,2,1,5,4] => [[1,4,7],[2,5],[3,6]] => 6
{{1,2,5},{3},{4},{6,7}} => [2,5,3,4,1,7,6] => [3,4,5,2,1,7,6] => [[1,4,5,6],[2,7],[3]] => 6
{{1,2,5},{3},{4},{6},{7}} => [2,5,3,4,1,6,7] => [3,4,5,2,1,6,7] => [[1,4,5,6,7],[2],[3]] => 3
{{1,2,6,7},{3,5},{4}} => [2,6,5,4,3,7,1] => [4,5,3,7,6,2,1] => [[1,5,6],[2,7],[3],[4]] => 8
{{1,2,6},{3,5,7},{4}} => [2,6,5,4,7,1,3] => [4,7,5,2,1,6,3] => [[1,3,6],[2,5],[4],[7]] => 11
{{1,2,6},{3,5},{4,7}} => [2,6,5,7,3,1,4] => [7,3,5,2,1,6,4] => [[1,4,6],[2,5],[3],[7]] => 10
{{1,2,6},{3,5},{4},{7}} => [2,6,5,4,3,1,7] => [4,5,3,6,2,1,7] => [[1,5,6,7],[2],[3],[4]] => 6
{{1,2,7},{3,5,6},{4}} => [2,7,5,4,6,3,1] => [4,6,5,3,7,2,1] => [[1,5,7],[2],[3],[4],[6]] => 11
{{1,2},{3,5,6,7},{4}} => [2,1,5,4,6,7,3] => [2,1,4,7,6,5,3] => [[1,3,5],[2,4],[6],[7]] => 13
{{1,2},{3,5,6},{4,7}} => [2,1,5,7,6,3,4] => [2,1,6,3,7,5,4] => [[1,3,4],[2,5,7],[6]] => 10
{{1,2},{3,5,6},{4},{7}} => [2,1,5,4,6,3,7] => [2,1,4,6,5,3,7] => [[1,3,5,7],[2,4],[6]] => 7
{{1,2,7},{3,5},{4,6}} => [2,7,5,6,3,4,1] => [6,3,5,4,7,2,1] => [[1,4,7],[2],[3],[5],[6]] => 12
{{1,2},{3,5,7},{4,6}} => [2,1,5,6,7,4,3] => [2,1,7,4,6,5,3] => [[1,3,5],[2,4],[6],[7]] => 13
{{1,2},{3,5},{4,6,7}} => [2,1,5,6,3,7,4] => [2,1,7,6,3,5,4] => [[1,3,4],[2,5],[6],[7]] => 14
{{1,2},{3,5},{4,6},{7}} => [2,1,5,6,3,4,7] => [2,1,6,3,5,4,7] => [[1,3,4,7],[2,5],[6]] => 8
{{1,2,7},{3,5},{4},{6}} => [2,7,5,4,3,6,1] => [4,5,3,6,7,2,1] => [[1,5,6,7],[2],[3],[4]] => 6
{{1,2},{3,5,7},{4},{6}} => [2,1,5,4,7,6,3] => [2,1,4,6,7,5,3] => [[1,3,5,7],[2,4],[6]] => 7
{{1,2},{3,5},{4,7},{6}} => [2,1,5,7,3,6,4] => [2,1,6,7,3,5,4] => [[1,3,4],[2,5,7],[6]] => 10
{{1,2},{3,5},{4},{6,7}} => [2,1,5,4,3,7,6] => [2,1,4,5,3,7,6] => [[1,3,5,6],[2,4,7]] => 4
{{1,2},{3,5},{4},{6},{7}} => [2,1,5,4,3,6,7] => [2,1,4,5,3,6,7] => [[1,3,5,6,7],[2,4]] => 2
{{1,2,6,7},{3},{4,5}} => [2,6,3,5,4,7,1] => [3,5,4,7,6,2,1] => [[1,4,6],[2,7],[3],[5]] => 9
{{1,2,6},{3,7},{4,5}} => [2,6,7,5,4,1,3] => [5,4,7,2,1,6,3] => [[1,3],[2,6],[4,7],[5]] => 11
{{1,2,6},{3},{4,5,7}} => [2,6,3,5,7,1,4] => [3,7,5,2,1,6,4] => [[1,4,6],[2,5],[3],[7]] => 10
{{1,2,6},{3},{4,5},{7}} => [2,6,3,5,4,1,7] => [3,5,4,6,2,1,7] => [[1,4,6,7],[2],[3],[5]] => 7
{{1,2,7},{3,6},{4,5}} => [2,7,6,5,4,3,1] => [5,4,6,3,7,2,1] => [[1,6,7],[2],[3],[4],[5]] => 10
{{1,2},{3,6,7},{4,5}} => [2,1,6,5,4,7,3] => [2,1,5,4,7,6,3] => [[1,3,6],[2,4,7],[5]] => 7
{{1,2},{3,6},{4,5,7}} => [2,1,6,5,7,3,4] => [2,1,7,5,3,6,4] => [[1,3,4],[2,5,6],[7]] => 11
{{1,2},{3,6},{4,5},{7}} => [2,1,6,5,4,3,7] => [2,1,5,4,6,3,7] => [[1,3,6,7],[2,4],[5]] => 6
{{1,2,7},{3},{4,5,6}} => [2,7,3,5,6,4,1] => [3,6,5,4,7,2,1] => [[1,4,7],[2],[3],[5],[6]] => 12
{{1,2},{3,7},{4,5,6}} => [2,1,7,5,6,4,3] => [2,1,6,5,4,7,3] => [[1,3,7],[2,4],[5],[6]] => 11
{{1,2},{3},{4,5,6,7}} => [2,1,3,5,6,7,4] => [2,1,3,7,6,5,4] => [[1,3,4],[2,5],[6],[7]] => 14
{{1,2},{3},{4,5,6},{7}} => [2,1,3,5,6,4,7] => [2,1,3,6,5,4,7] => [[1,3,4,7],[2,5],[6]] => 8
{{1,2,7},{3},{4,5},{6}} => [2,7,3,5,4,6,1] => [3,5,4,6,7,2,1] => [[1,4,6,7],[2],[3],[5]] => 7
{{1,2},{3,7},{4,5},{6}} => [2,1,7,5,4,6,3] => [2,1,5,4,6,7,3] => [[1,3,6,7],[2,4],[5]] => 6
{{1,2},{3},{4,5,7},{6}} => [2,1,3,5,7,6,4] => [2,1,3,6,7,5,4] => [[1,3,4,7],[2,5],[6]] => 8
{{1,2},{3},{4,5},{6,7}} => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => [[1,3,4,6],[2,5,7]] => 6
{{1,2},{3},{4,5},{6},{7}} => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => [[1,3,4,6,7],[2,5]] => 3
{{1,2,6,7},{3},{4},{5}} => [2,6,3,4,5,7,1] => [3,4,5,7,6,2,1] => [[1,4,5,6],[2],[3],[7]] => 9
{{1,2,6},{3,7},{4},{5}} => [2,6,7,4,5,1,3] => [4,5,7,2,1,6,3] => [[1,3,6],[2,5],[4,7]] => 8
{{1,2,6},{3},{4,7},{5}} => [2,6,3,7,5,1,4] => [3,5,7,2,1,6,4] => [[1,4,6],[2,5],[3,7]] => 7
{{1,2,6},{3},{4},{5,7}} => [2,6,3,4,7,1,5] => [3,4,7,2,1,6,5] => [[1,4,5],[2,6],[3,7]] => 8
{{1,2,6},{3},{4},{5},{7}} => [2,6,3,4,5,1,7] => [3,4,5,6,2,1,7] => [[1,4,5,6,7],[2],[3]] => 3
{{1,2,7},{3,6},{4},{5}} => [2,7,6,4,5,3,1] => [4,5,6,3,7,2,1] => [[1,5,6,7],[2],[3],[4]] => 6
{{1,2},{3,6,7},{4},{5}} => [2,1,6,4,5,7,3] => [2,1,4,5,7,6,3] => [[1,3,5,6],[2,4],[7]] => 8
{{1,2},{3,6},{4,7},{5}} => [2,1,6,7,5,3,4] => [2,1,5,7,3,6,4] => [[1,3,4],[2,5,6],[7]] => 11
{{1,2},{3,6},{4},{5,7}} => [2,1,6,4,7,3,5] => [2,1,4,7,3,6,5] => [[1,3,5],[2,4,6],[7]] => 9
{{1,2},{3,6},{4},{5},{7}} => [2,1,6,4,5,3,7] => [2,1,4,5,6,3,7] => [[1,3,5,6,7],[2,4]] => 2
{{1,2,7},{3},{4,6},{5}} => [2,7,3,6,5,4,1] => [3,5,6,4,7,2,1] => [[1,4,6,7],[2],[3],[5]] => 7
{{1,2},{3,7},{4,6},{5}} => [2,1,7,6,5,4,3] => [2,1,5,6,4,7,3] => [[1,3,6,7],[2,4],[5]] => 6
{{1,2},{3},{4,6,7},{5}} => [2,1,3,6,5,7,4] => [2,1,3,5,7,6,4] => [[1,3,4,6],[2,5],[7]] => 9
{{1,2},{3},{4,6},{5,7}} => [2,1,3,6,7,4,5] => [2,1,3,7,4,6,5] => [[1,3,4,5],[2,6],[7]] => 10
{{1,2},{3},{4,6},{5},{7}} => [2,1,3,6,5,4,7] => [2,1,3,5,6,4,7] => [[1,3,4,6,7],[2,5]] => 3
{{1,2,7},{3},{4},{5,6}} => [2,7,3,4,6,5,1] => [3,4,6,5,7,2,1] => [[1,4,5,7],[2],[3],[6]] => 8
{{1,2},{3,7},{4},{5,6}} => [2,1,7,4,6,5,3] => [2,1,4,6,5,7,3] => [[1,3,5,7],[2,4],[6]] => 7
{{1,2},{3},{4,7},{5,6}} => [2,1,3,7,6,5,4] => [2,1,3,6,5,7,4] => [[1,3,4,7],[2,5],[6]] => 8
{{1,2},{3},{4},{5,6,7}} => [2,1,3,4,6,7,5] => [2,1,3,4,7,6,5] => [[1,3,4,5],[2,6],[7]] => 10
{{1,2},{3},{4},{5,6},{7}} => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => [[1,3,4,5,7],[2,6]] => 4
{{1,2,7},{3},{4},{5},{6}} => [2,7,3,4,5,6,1] => [3,4,5,6,7,2,1] => [[1,4,5,6,7],[2],[3]] => 3
{{1,2},{3,7},{4},{5},{6}} => [2,1,7,4,5,6,3] => [2,1,4,5,6,7,3] => [[1,3,5,6,7],[2,4]] => 2
{{1,2},{3},{4,7},{5},{6}} => [2,1,3,7,5,6,4] => [2,1,3,5,6,7,4] => [[1,3,4,6,7],[2,5]] => 3
{{1,2},{3},{4},{5,7},{6}} => [2,1,3,4,7,6,5] => [2,1,3,4,6,7,5] => [[1,3,4,5,7],[2,6]] => 4
{{1,2},{3},{4},{5},{6,7}} => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => [[1,3,4,5,6],[2,7]] => 5
{{1,2},{3},{4},{5},{6},{7}} => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2]] => 1
{{1,3,4,5,6,7},{2}} => [3,2,4,5,6,7,1] => [2,7,6,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7]] => 19
{{1,3,4,5,6},{2,7}} => [3,7,4,5,6,1,2] => [6,5,4,1,7,3,2] => [[1,2],[3,7],[4],[5],[6]] => 16
{{1,3,4,5,6},{2},{7}} => [3,2,4,5,6,1,7] => [2,6,5,4,3,1,7] => [[1,3,7],[2],[4],[5],[6]] => 13
{{1,3,4,5,7},{2,6}} => [3,6,4,5,7,2,1] => [7,5,4,2,6,3,1] => [[1,3],[2,6],[4],[5],[7]] => 15
{{1,3,4,5},{2,6,7}} => [3,6,4,5,1,7,2] => [5,4,1,7,6,3,2] => [[1,2],[3,6],[4,7],[5]] => 14
{{1,3,4,5},{2,6},{7}} => [3,6,4,5,1,2,7] => [5,4,1,6,3,2,7] => [[1,2,7],[3,6],[4],[5]] => 11
{{1,3,4,5,7},{2},{6}} => [3,2,4,5,7,6,1] => [2,6,7,5,4,3,1] => [[1,3,7],[2],[4],[5],[6]] => 13
{{1,3,4,5},{2,7},{6}} => [3,7,4,5,1,6,2] => [5,4,1,6,7,3,2] => [[1,2,7],[3,6],[4],[5]] => 11
{{1,3,4,5},{2},{6,7}} => [3,2,4,5,1,7,6] => [2,5,4,3,1,7,6] => [[1,3,6],[2,7],[4],[5]] => 10
{{1,3,4,5},{2},{6},{7}} => [3,2,4,5,1,6,7] => [2,5,4,3,1,6,7] => [[1,3,6,7],[2],[4],[5]] => 8
{{1,3,4,6,7},{2,5}} => [3,5,4,6,2,7,1] => [7,6,4,2,5,3,1] => [[1,3],[2,5],[4],[6],[7]] => 16
{{1,3,4,6},{2,5,7}} => [3,5,4,6,7,1,2] => [7,4,1,6,5,3,2] => [[1,2],[3,5],[4],[6],[7]] => 18
{{1,3,4,6},{2,5},{7}} => [3,5,4,6,2,1,7] => [6,4,2,5,3,1,7] => [[1,3,7],[2,5],[4],[6]] => 10
{{1,3,4,7},{2,5,6}} => [3,5,4,7,6,2,1] => [6,4,2,7,5,3,1] => [[1,3],[2,5],[4,7],[6]] => 12
{{1,3,4},{2,5,6,7}} => [3,5,4,1,6,7,2] => [4,1,7,6,5,3,2] => [[1,2],[3,5],[4],[6],[7]] => 18
{{1,3,4},{2,5,6},{7}} => [3,5,4,1,6,2,7] => [4,1,6,5,3,2,7] => [[1,2,7],[3,5],[4],[6]] => 12
{{1,3,4,7},{2,5},{6}} => [3,5,4,7,2,6,1] => [6,7,4,2,5,3,1] => [[1,3],[2,5],[4,7],[6]] => 12
{{1,3,4},{2,5,7},{6}} => [3,5,4,1,7,6,2] => [4,1,6,7,5,3,2] => [[1,2,7],[3,5],[4],[6]] => 12
{{1,3,4},{2,5},{6,7}} => [3,5,4,1,2,7,6] => [4,1,5,3,2,7,6] => [[1,2,6],[3,5,7],[4]] => 8
{{1,3,4},{2,5},{6},{7}} => [3,5,4,1,2,6,7] => [4,1,5,3,2,6,7] => [[1,2,6,7],[3,5],[4]] => 7
{{1,3,4,6,7},{2},{5}} => [3,2,4,6,5,7,1] => [2,5,7,6,4,3,1] => [[1,3,6],[2],[4],[5],[7]] => 14
{{1,3,4,6},{2,7},{5}} => [3,7,4,6,5,1,2] => [5,6,4,1,7,3,2] => [[1,2,7],[3,6],[4],[5]] => 11
{{1,3,4,6},{2},{5,7}} => [3,2,4,6,7,1,5] => [2,7,4,3,1,6,5] => [[1,3,5],[2,6],[4],[7]] => 12
{{1,3,4,6},{2},{5},{7}} => [3,2,4,6,5,1,7] => [2,5,6,4,3,1,7] => [[1,3,6,7],[2],[4],[5]] => 8
{{1,3,4,7},{2,6},{5}} => [3,6,4,7,5,2,1] => [5,7,4,2,6,3,1] => [[1,3],[2,6],[4,7],[5]] => 11
{{1,3,4},{2,6,7},{5}} => [3,6,4,1,5,7,2] => [4,1,5,7,6,3,2] => [[1,2,6],[3,5],[4],[7]] => 13
{{1,3,4},{2,6},{5,7}} => [3,6,4,1,7,2,5] => [4,1,7,3,2,6,5] => [[1,2,5],[3,6],[4,7]] => 12
{{1,3,4},{2,6},{5},{7}} => [3,6,4,1,5,2,7] => [4,1,5,6,3,2,7] => [[1,2,6,7],[3,5],[4]] => 7
{{1,3,4,7},{2},{5,6}} => [3,2,4,7,6,5,1] => [2,6,5,7,4,3,1] => [[1,3,7],[2],[4],[5],[6]] => 13
{{1,3,4},{2,7},{5,6}} => [3,7,4,1,6,5,2] => [4,1,6,5,7,3,2] => [[1,2,7],[3,5],[4],[6]] => 12
{{1,3,4},{2},{5,6,7}} => [3,2,4,1,6,7,5] => [2,4,3,1,7,6,5] => [[1,3,5],[2,6],[4,7]] => 9
{{1,3,4},{2},{5,6},{7}} => [3,2,4,1,6,5,7] => [2,4,3,1,6,5,7] => [[1,3,5,7],[2,6],[4]] => 6
{{1,3,4,7},{2},{5},{6}} => [3,2,4,7,5,6,1] => [2,5,6,7,4,3,1] => [[1,3,6,7],[2],[4],[5]] => 8
{{1,3,4},{2,7},{5},{6}} => [3,7,4,1,5,6,2] => [4,1,5,6,7,3,2] => [[1,2,6,7],[3,5],[4]] => 7
{{1,3,4},{2},{5,7},{6}} => [3,2,4,1,7,6,5] => [2,4,3,1,6,7,5] => [[1,3,5,7],[2,6],[4]] => 6
{{1,3,4},{2},{5},{6,7}} => [3,2,4,1,5,7,6] => [2,4,3,1,5,7,6] => [[1,3,5,6],[2,7],[4]] => 7
{{1,3,4},{2},{5},{6},{7}} => [3,2,4,1,5,6,7] => [2,4,3,1,5,6,7] => [[1,3,5,6,7],[2],[4]] => 4
{{1,3,5,6,7},{2,4}} => [3,4,5,2,6,7,1] => [7,6,5,2,4,3,1] => [[1,3],[2],[4],[5],[6],[7]] => 19
{{1,3,5,6},{2,4,7}} => [3,4,5,7,6,1,2] => [6,1,7,5,4,3,2] => [[1,2],[3,7],[4],[5],[6]] => 16
{{1,3,5,6},{2,4},{7}} => [3,4,5,2,6,1,7] => [6,5,2,4,3,1,7] => [[1,3,7],[2],[4],[5],[6]] => 13
{{1,3,5,7},{2,4,6}} => [3,4,5,6,7,2,1] => [7,2,6,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7]] => 19
{{1,3,5},{2,4,6,7}} => [3,4,5,6,1,7,2] => [7,6,1,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7]] => 20
{{1,3,5},{2,4,6},{7}} => [3,4,5,6,1,2,7] => [6,1,5,4,3,2,7] => [[1,2,7],[3],[4],[5],[6]] => 14
{{1,3,5,7},{2,4},{6}} => [3,4,5,2,7,6,1] => [6,7,5,2,4,3,1] => [[1,3],[2,7],[4],[5],[6]] => 14
{{1,3,5},{2,4,7},{6}} => [3,4,5,7,1,6,2] => [6,7,1,5,4,3,2] => [[1,2],[3,7],[4],[5],[6]] => 16
{{1,3,5},{2,4},{6,7}} => [3,4,5,2,1,7,6] => [5,2,4,3,1,7,6] => [[1,3,6],[2,7],[4],[5]] => 10
{{1,3,5},{2,4},{6},{7}} => [3,4,5,2,1,6,7] => [5,2,4,3,1,6,7] => [[1,3,6,7],[2],[4],[5]] => 8
{{1,3,6,7},{2,4,5}} => [3,4,6,5,2,7,1] => [5,2,7,6,4,3,1] => [[1,3],[2,6],[4],[5],[7]] => 15
{{1,3,6},{2,4,5,7}} => [3,4,6,5,7,1,2] => [7,5,1,6,4,3,2] => [[1,2],[3,6],[4],[5],[7]] => 17
{{1,3,6},{2,4,5},{7}} => [3,4,6,5,2,1,7] => [5,2,6,4,3,1,7] => [[1,3,7],[2,6],[4],[5]] => 9
{{1,3,7},{2,4,5,6}} => [3,4,7,5,6,2,1] => [6,5,2,7,4,3,1] => [[1,3],[2,7],[4],[5],[6]] => 14
{{1,3},{2,4,5,6,7}} => [3,4,1,5,6,7,2] => [7,6,5,4,1,3,2] => [[1,2],[3],[4],[5],[6],[7]] => 20
{{1,3},{2,4,5,6},{7}} => [3,4,1,5,6,2,7] => [6,5,4,1,3,2,7] => [[1,2,7],[3],[4],[5],[6]] => 14
{{1,3,7},{2,4,5},{6}} => [3,4,7,5,2,6,1] => [5,2,6,7,4,3,1] => [[1,3,7],[2,6],[4],[5]] => 9
{{1,3},{2,4,5,7},{6}} => [3,4,1,5,7,6,2] => [6,7,5,4,1,3,2] => [[1,2],[3,7],[4],[5],[6]] => 16
{{1,3},{2,4,5},{6,7}} => [3,4,1,5,2,7,6] => [5,4,1,3,2,7,6] => [[1,2,6],[3,7],[4],[5]] => 12
{{1,3},{2,4,5},{6},{7}} => [3,4,1,5,2,6,7] => [5,4,1,3,2,6,7] => [[1,2,6,7],[3],[4],[5]] => 9
{{1,3,6,7},{2,4},{5}} => [3,4,6,2,5,7,1] => [5,7,6,2,4,3,1] => [[1,3],[2,6],[4],[5],[7]] => 15
{{1,3,6},{2,4,7},{5}} => [3,4,6,7,5,1,2] => [5,7,1,6,4,3,2] => [[1,2],[3,6],[4],[5],[7]] => 17
{{1,3,6},{2,4},{5,7}} => [3,4,6,2,7,1,5] => [7,2,4,3,1,6,5] => [[1,3,5],[2,6],[4],[7]] => 12
{{1,3,6},{2,4},{5},{7}} => [3,4,6,2,5,1,7] => [5,6,2,4,3,1,7] => [[1,3,7],[2,6],[4],[5]] => 9
{{1,3,7},{2,4,6},{5}} => [3,4,7,6,5,2,1] => [5,6,2,7,4,3,1] => [[1,3,7],[2,6],[4],[5]] => 9
{{1,3},{2,4,6,7},{5}} => [3,4,1,6,5,7,2] => [5,7,6,4,1,3,2] => [[1,2],[3,6],[4],[5],[7]] => 17
{{1,3},{2,4,6},{5,7}} => [3,4,1,6,7,2,5] => [7,4,1,3,2,6,5] => [[1,2,5],[3,6],[4],[7]] => 14
{{1,3},{2,4,6},{5},{7}} => [3,4,1,6,5,2,7] => [5,6,4,1,3,2,7] => [[1,2,7],[3,6],[4],[5]] => 11
{{1,3,7},{2,4},{5,6}} => [3,4,7,2,6,5,1] => [6,5,7,2,4,3,1] => [[1,3],[2,7],[4],[5],[6]] => 14
{{1,3},{2,4,7},{5,6}} => [3,4,1,7,6,5,2] => [6,5,7,4,1,3,2] => [[1,2],[3,7],[4],[5],[6]] => 16
{{1,3},{2,4},{5,6,7}} => [3,4,1,2,6,7,5] => [4,1,3,2,7,6,5] => [[1,2,5],[3,6],[4,7]] => 12
{{1,3},{2,4},{5,6},{7}} => [3,4,1,2,6,5,7] => [4,1,3,2,6,5,7] => [[1,2,5,7],[3,6],[4]] => 8
{{1,3,7},{2,4},{5},{6}} => [3,4,7,2,5,6,1] => [5,6,7,2,4,3,1] => [[1,3,7],[2,6],[4],[5]] => 9
{{1,3},{2,4,7},{5},{6}} => [3,4,1,7,5,6,2] => [5,6,7,4,1,3,2] => [[1,2,7],[3,6],[4],[5]] => 11
{{1,3},{2,4},{5,7},{6}} => [3,4,1,2,7,6,5] => [4,1,3,2,6,7,5] => [[1,2,5,7],[3,6],[4]] => 8
{{1,3},{2,4},{5},{6,7}} => [3,4,1,2,5,7,6] => [4,1,3,2,5,7,6] => [[1,2,5,6],[3,7],[4]] => 9
{{1,3},{2,4},{5},{6},{7}} => [3,4,1,2,5,6,7] => [4,1,3,2,5,6,7] => [[1,2,5,6,7],[3],[4]] => 5
{{1,3,5,6,7},{2},{4}} => [3,2,5,4,6,7,1] => [2,4,7,6,5,3,1] => [[1,3,5],[2],[4],[6],[7]] => 15
{{1,3,5,6},{2,7},{4}} => [3,7,5,4,6,1,2] => [4,6,5,1,7,3,2] => [[1,2,7],[3,5],[4],[6]] => 12
{{1,3,5,6},{2},{4,7}} => [3,2,5,7,6,1,4] => [2,6,3,1,7,5,4] => [[1,3,4],[2,5],[6,7]] => 13
{{1,3,5,6},{2},{4},{7}} => [3,2,5,4,6,1,7] => [2,4,6,5,3,1,7] => [[1,3,5,7],[2],[4],[6]] => 9
{{1,3,5,7},{2,6},{4}} => [3,6,5,4,7,2,1] => [4,7,5,2,6,3,1] => [[1,3,6],[2,5],[4],[7]] => 11
{{1,3,5},{2,6,7},{4}} => [3,6,5,4,1,7,2] => [4,5,1,7,6,3,2] => [[1,2,6],[3,5],[4],[7]] => 13
{{1,3,5},{2,6},{4,7}} => [3,6,5,7,1,2,4] => [7,1,5,3,2,6,4] => [[1,2,4],[3,6],[5],[7]] => 15
{{1,3,5},{2,6},{4},{7}} => [3,6,5,4,1,2,7] => [4,5,1,6,3,2,7] => [[1,2,6,7],[3,5],[4]] => 7
{{1,3,5,7},{2},{4,6}} => [3,2,5,6,7,4,1] => [2,7,4,6,5,3,1] => [[1,3,5],[2],[4],[6],[7]] => 15
{{1,3,5},{2,7},{4,6}} => [3,7,5,6,1,4,2] => [6,1,5,4,7,3,2] => [[1,2,7],[3],[4],[5],[6]] => 14
{{1,3,5},{2},{4,6,7}} => [3,2,5,6,1,7,4] => [2,7,6,3,1,5,4] => [[1,3,4],[2,5],[6],[7]] => 14
{{1,3,5},{2},{4,6},{7}} => [3,2,5,6,1,4,7] => [2,6,3,1,5,4,7] => [[1,3,4,7],[2,5],[6]] => 8
{{1,3,5,7},{2},{4},{6}} => [3,2,5,4,7,6,1] => [2,4,6,7,5,3,1] => [[1,3,5,7],[2],[4],[6]] => 9
{{1,3,5},{2,7},{4},{6}} => [3,7,5,4,1,6,2] => [4,5,1,6,7,3,2] => [[1,2,6,7],[3,5],[4]] => 7
{{1,3,5},{2},{4,7},{6}} => [3,2,5,7,1,6,4] => [2,6,7,3,1,5,4] => [[1,3,4],[2,5],[6,7]] => 13
{{1,3,5},{2},{4},{6,7}} => [3,2,5,4,1,7,6] => [2,4,5,3,1,7,6] => [[1,3,5,6],[2,7],[4]] => 7
{{1,3,5},{2},{4},{6},{7}} => [3,2,5,4,1,6,7] => [2,4,5,3,1,6,7] => [[1,3,5,6,7],[2],[4]] => 4
{{1,3,6,7},{2,5},{4}} => [3,5,6,4,2,7,1] => [4,7,6,2,5,3,1] => [[1,3],[2,5],[4],[6],[7]] => 16
{{1,3,6},{2,5,7},{4}} => [3,5,6,4,7,1,2] => [4,7,1,6,5,3,2] => [[1,2],[3,5],[4],[6],[7]] => 18
{{1,3,6},{2,5},{4,7}} => [3,5,6,7,2,1,4] => [7,2,6,3,1,5,4] => [[1,3,4],[2,5],[6],[7]] => 14
{{1,3,6},{2,5},{4},{7}} => [3,5,6,4,2,1,7] => [4,6,2,5,3,1,7] => [[1,3,7],[2,5],[4],[6]] => 10
{{1,3,7},{2,5,6},{4}} => [3,5,7,4,6,2,1] => [4,6,2,7,5,3,1] => [[1,3,7],[2,5],[4],[6]] => 10
{{1,3},{2,5,6,7},{4}} => [3,5,1,4,6,7,2] => [4,7,6,5,1,3,2] => [[1,2],[3,5],[4],[6],[7]] => 18
{{1,3},{2,5,6},{4,7}} => [3,5,1,7,6,2,4] => [6,1,3,2,7,5,4] => [[1,2,4],[3,5],[6,7]] => 15
{{1,3},{2,5,6},{4},{7}} => [3,5,1,4,6,2,7] => [4,6,5,1,3,2,7] => [[1,2,7],[3,5],[4],[6]] => 12
{{1,3,7},{2,5},{4,6}} => [3,5,7,6,2,4,1] => [6,2,7,4,5,3,1] => [[1,3,5],[2,7],[4],[6]] => 11
{{1,3},{2,5,7},{4,6}} => [3,5,1,6,7,4,2] => [7,4,6,5,1,3,2] => [[1,2],[3,5],[4],[6],[7]] => 18
{{1,3},{2,5},{4,6,7}} => [3,5,1,6,2,7,4] => [7,6,1,3,2,5,4] => [[1,2,4],[3,5],[6],[7]] => 16
{{1,3},{2,5},{4,6},{7}} => [3,5,1,6,2,4,7] => [6,1,3,2,5,4,7] => [[1,2,4,7],[3,5],[6]] => 10
{{1,3,7},{2,5},{4},{6}} => [3,5,7,4,2,6,1] => [4,6,7,2,5,3,1] => [[1,3,7],[2,5],[4],[6]] => 10
{{1,3},{2,5,7},{4},{6}} => [3,5,1,4,7,6,2] => [4,6,7,5,1,3,2] => [[1,2,7],[3,5],[4],[6]] => 12
{{1,3},{2,5},{4,7},{6}} => [3,5,1,7,2,6,4] => [6,7,1,3,2,5,4] => [[1,2,4],[3,5],[6,7]] => 15
{{1,3},{2,5},{4},{6,7}} => [3,5,1,4,2,7,6] => [4,5,1,3,2,7,6] => [[1,2,6],[3,5,7],[4]] => 8
{{1,3},{2,5},{4},{6},{7}} => [3,5,1,4,2,6,7] => [4,5,1,3,2,6,7] => [[1,2,6,7],[3,5],[4]] => 7
{{1,3,6,7},{2},{4,5}} => [3,2,6,5,4,7,1] => [2,5,4,7,6,3,1] => [[1,3,6],[2,7],[4],[5]] => 10
{{1,3,6},{2,7},{4,5}} => [3,7,6,5,4,1,2] => [5,4,6,1,7,3,2] => [[1,2,7],[3,6],[4],[5]] => 11
{{1,3,6},{2},{4,5,7}} => [3,2,6,5,7,1,4] => [2,7,5,3,1,6,4] => [[1,3,4],[2,6],[5],[7]] => 13
{{1,3,6},{2},{4,5},{7}} => [3,2,6,5,4,1,7] => [2,5,4,6,3,1,7] => [[1,3,6,7],[2],[4],[5]] => 8
{{1,3,7},{2,6},{4,5}} => [3,6,7,5,4,2,1] => [5,4,7,2,6,3,1] => [[1,3],[2,6],[4,7],[5]] => 11
{{1,3},{2,6,7},{4,5}} => [3,6,1,5,4,7,2] => [5,4,7,6,1,3,2] => [[1,2],[3,6],[4,7],[5]] => 14
{{1,3},{2,6},{4,5,7}} => [3,6,1,5,7,2,4] => [7,5,1,3,2,6,4] => [[1,2,4],[3,6],[5],[7]] => 15
{{1,3},{2,6},{4,5},{7}} => [3,6,1,5,4,2,7] => [5,4,6,1,3,2,7] => [[1,2,7],[3,6],[4],[5]] => 11
{{1,3,7},{2},{4,5,6}} => [3,2,7,5,6,4,1] => [2,6,5,4,7,3,1] => [[1,3,7],[2],[4],[5],[6]] => 13
{{1,3},{2,7},{4,5,6}} => [3,7,1,5,6,4,2] => [6,5,4,7,1,3,2] => [[1,2],[3,7],[4],[5],[6]] => 16
{{1,3},{2},{4,5,6,7}} => [3,2,1,5,6,7,4] => [2,3,1,7,6,5,4] => [[1,3,4],[2,5],[6],[7]] => 14
{{1,3},{2},{4,5,6},{7}} => [3,2,1,5,6,4,7] => [2,3,1,6,5,4,7] => [[1,3,4,7],[2,5],[6]] => 8
{{1,3,7},{2},{4,5},{6}} => [3,2,7,5,4,6,1] => [2,5,4,6,7,3,1] => [[1,3,6,7],[2],[4],[5]] => 8
{{1,3},{2,7},{4,5},{6}} => [3,7,1,5,4,6,2] => [5,4,6,7,1,3,2] => [[1,2,7],[3,6],[4],[5]] => 11
{{1,3},{2},{4,5,7},{6}} => [3,2,1,5,7,6,4] => [2,3,1,6,7,5,4] => [[1,3,4,7],[2,5],[6]] => 8
{{1,3},{2},{4,5},{6,7}} => [3,2,1,5,4,7,6] => [2,3,1,5,4,7,6] => [[1,3,4,6],[2,5,7]] => 6
{{1,3},{2},{4,5},{6},{7}} => [3,2,1,5,4,6,7] => [2,3,1,5,4,6,7] => [[1,3,4,6,7],[2,5]] => 3
{{1,3,6,7},{2},{4},{5}} => [3,2,6,4,5,7,1] => [2,4,5,7,6,3,1] => [[1,3,5,6],[2],[4],[7]] => 10
{{1,3,6},{2,7},{4},{5}} => [3,7,6,4,5,1,2] => [4,5,6,1,7,3,2] => [[1,2,6,7],[3,5],[4]] => 7
{{1,3,6},{2},{4,7},{5}} => [3,2,6,7,5,1,4] => [2,5,7,3,1,6,4] => [[1,3,4],[2,6],[5,7]] => 10
{{1,3,6},{2},{4},{5,7}} => [3,2,6,4,7,1,5] => [2,4,7,3,1,6,5] => [[1,3,5],[2,6],[4,7]] => 9
{{1,3,6},{2},{4},{5},{7}} => [3,2,6,4,5,1,7] => [2,4,5,6,3,1,7] => [[1,3,5,6,7],[2],[4]] => 4
{{1,3,7},{2,6},{4},{5}} => [3,6,7,4,5,2,1] => [4,5,7,2,6,3,1] => [[1,3,6],[2,5],[4],[7]] => 11
{{1,3},{2,6,7},{4},{5}} => [3,6,1,4,5,7,2] => [4,5,7,6,1,3,2] => [[1,2,6],[3,5],[4],[7]] => 13
{{1,3},{2,6},{4,7},{5}} => [3,6,1,7,5,2,4] => [5,7,1,3,2,6,4] => [[1,2,4],[3,6],[5,7]] => 13
{{1,3},{2,6},{4},{5,7}} => [3,6,1,4,7,2,5] => [4,7,1,3,2,6,5] => [[1,2,5],[3,6],[4,7]] => 12
{{1,3},{2,6},{4},{5},{7}} => [3,6,1,4,5,2,7] => [4,5,6,1,3,2,7] => [[1,2,6,7],[3,5],[4]] => 7
{{1,3,7},{2},{4,6},{5}} => [3,2,7,6,5,4,1] => [2,5,6,4,7,3,1] => [[1,3,6,7],[2],[4],[5]] => 8
{{1,3},{2,7},{4,6},{5}} => [3,7,1,6,5,4,2] => [5,6,4,7,1,3,2] => [[1,2,7],[3,6],[4],[5]] => 11
{{1,3},{2},{4,6,7},{5}} => [3,2,1,6,5,7,4] => [2,3,1,5,7,6,4] => [[1,3,4,6],[2,5],[7]] => 9
{{1,3},{2},{4,6},{5,7}} => [3,2,1,6,7,4,5] => [2,3,1,7,4,6,5] => [[1,3,4,5],[2,6],[7]] => 10
{{1,3},{2},{4,6},{5},{7}} => [3,2,1,6,5,4,7] => [2,3,1,5,6,4,7] => [[1,3,4,6,7],[2,5]] => 3
{{1,3,7},{2},{4},{5,6}} => [3,2,7,4,6,5,1] => [2,4,6,5,7,3,1] => [[1,3,5,7],[2],[4],[6]] => 9
{{1,3},{2,7},{4},{5,6}} => [3,7,1,4,6,5,2] => [4,6,5,7,1,3,2] => [[1,2,7],[3,5],[4],[6]] => 12
{{1,3},{2},{4,7},{5,6}} => [3,2,1,7,6,5,4] => [2,3,1,6,5,7,4] => [[1,3,4,7],[2,5],[6]] => 8
{{1,3},{2},{4},{5,6,7}} => [3,2,1,4,6,7,5] => [2,3,1,4,7,6,5] => [[1,3,4,5],[2,6],[7]] => 10
{{1,3},{2},{4},{5,6},{7}} => [3,2,1,4,6,5,7] => [2,3,1,4,6,5,7] => [[1,3,4,5,7],[2,6]] => 4
{{1,3,7},{2},{4},{5},{6}} => [3,2,7,4,5,6,1] => [2,4,5,6,7,3,1] => [[1,3,5,6,7],[2],[4]] => 4
{{1,3},{2,7},{4},{5},{6}} => [3,7,1,4,5,6,2] => [4,5,6,7,1,3,2] => [[1,2,6,7],[3,5],[4]] => 7
{{1,3},{2},{4,7},{5},{6}} => [3,2,1,7,5,6,4] => [2,3,1,5,6,7,4] => [[1,3,4,6,7],[2,5]] => 3
{{1,3},{2},{4},{5,7},{6}} => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5] => [[1,3,4,5,7],[2,6]] => 4
{{1,3},{2},{4},{5},{6,7}} => [3,2,1,4,5,7,6] => [2,3,1,4,5,7,6] => [[1,3,4,5,6],[2,7]] => 5
{{1,3},{2},{4},{5},{6},{7}} => [3,2,1,4,5,6,7] => [2,3,1,4,5,6,7] => [[1,3,4,5,6,7],[2]] => 1
{{1,4,5,6,7},{2,3}} => [4,3,2,5,6,7,1] => [3,2,7,6,5,4,1] => [[1,4],[2,5],[3],[6],[7]] => 15
{{1,4,5,6},{2,3,7}} => [4,3,7,5,6,1,2] => [6,5,3,1,7,4,2] => [[1,2],[3,4],[5,7],[6]] => 17
{{1,4,5,6},{2,3},{7}} => [4,3,2,5,6,1,7] => [3,2,6,5,4,1,7] => [[1,4,7],[2,5],[3],[6]] => 9
{{1,4,5,7},{2,3,6}} => [4,3,6,5,7,2,1] => [7,5,3,2,6,4,1] => [[1,4],[2,6],[3],[5],[7]] => 14
{{1,4,5},{2,3,6,7}} => [4,3,6,5,1,7,2] => [5,3,1,7,6,4,2] => [[1,2],[3,4],[5,6],[7]] => 18
{{1,4,5},{2,3,6},{7}} => [4,3,6,5,1,2,7] => [5,3,1,6,4,2,7] => [[1,2,7],[3,4],[5,6]] => 12
{{1,4,5,7},{2,3},{6}} => [4,3,2,5,7,6,1] => [3,2,6,7,5,4,1] => [[1,4,7],[2,5],[3],[6]] => 9
{{1,4,5},{2,3,7},{6}} => [4,3,7,5,1,6,2] => [5,3,1,6,7,4,2] => [[1,2,7],[3,4],[5,6]] => 12
{{1,4,5},{2,3},{6,7}} => [4,3,2,5,1,7,6] => [3,2,5,4,1,7,6] => [[1,4,6],[2,5,7],[3]] => 5
{{1,4,5},{2,3},{6},{7}} => [4,3,2,5,1,6,7] => [3,2,5,4,1,6,7] => [[1,4,6,7],[2,5],[3]] => 4
{{1,4,6,7},{2,3,5}} => [4,3,5,6,2,7,1] => [7,6,3,2,5,4,1] => [[1,4],[2,5],[3],[6],[7]] => 15
{{1,4,6},{2,3,5,7}} => [4,3,5,6,7,1,2] => [7,3,1,6,5,4,2] => [[1,2],[3,4],[5],[6],[7]] => 19
{{1,4,6},{2,3,5},{7}} => [4,3,5,6,2,1,7] => [6,3,2,5,4,1,7] => [[1,4,7],[2,5],[3],[6]] => 9
{{1,4,7},{2,3,5,6}} => [4,3,5,7,6,2,1] => [6,3,2,7,5,4,1] => [[1,4],[2,5],[3,7],[6]] => 11
{{1,4},{2,3,5,6,7}} => [4,3,5,1,6,7,2] => [7,6,5,3,1,4,2] => [[1,2],[3,4],[5],[6],[7]] => 19
{{1,4},{2,3,5,6},{7}} => [4,3,5,1,6,2,7] => [6,5,3,1,4,2,7] => [[1,2,7],[3,4],[5],[6]] => 13
{{1,4,7},{2,3,5},{6}} => [4,3,5,7,2,6,1] => [6,7,3,2,5,4,1] => [[1,4],[2,5],[3,7],[6]] => 11
{{1,4},{2,3,5,7},{6}} => [4,3,5,1,7,6,2] => [6,7,5,3,1,4,2] => [[1,2],[3,4],[5,7],[6]] => 17
{{1,4},{2,3,5},{6,7}} => [4,3,5,1,2,7,6] => [5,3,1,4,2,7,6] => [[1,2,6],[3,4,7],[5]] => 9
{{1,4},{2,3,5},{6},{7}} => [4,3,5,1,2,6,7] => [5,3,1,4,2,6,7] => [[1,2,6,7],[3,4],[5]] => 8
{{1,4,6,7},{2,3},{5}} => [4,3,2,6,5,7,1] => [3,2,5,7,6,4,1] => [[1,4,6],[2,5],[3],[7]] => 10
{{1,4,6},{2,3,7},{5}} => [4,3,7,6,5,1,2] => [5,6,3,1,7,4,2] => [[1,2,7],[3,4],[5,6]] => 12
{{1,4,6},{2,3},{5,7}} => [4,3,2,6,7,1,5] => [3,2,7,4,1,6,5] => [[1,4,5],[2,6],[3,7]] => 8
{{1,4,6},{2,3},{5},{7}} => [4,3,2,6,5,1,7] => [3,2,5,6,4,1,7] => [[1,4,6,7],[2,5],[3]] => 4
{{1,4,7},{2,3,6},{5}} => [4,3,6,7,5,2,1] => [5,7,3,2,6,4,1] => [[1,4],[2,6],[3,7],[5]] => 10
{{1,4},{2,3,6,7},{5}} => [4,3,6,1,5,7,2] => [5,7,6,3,1,4,2] => [[1,2],[3,4],[5,6],[7]] => 18
{{1,4},{2,3,6},{5,7}} => [4,3,6,1,7,2,5] => [7,3,1,4,2,6,5] => [[1,2,5],[3,4,6],[7]] => 11
{{1,4},{2,3,6},{5},{7}} => [4,3,6,1,5,2,7] => [5,6,3,1,4,2,7] => [[1,2,7],[3,4],[5,6]] => 12
{{1,4,7},{2,3},{5,6}} => [4,3,2,7,6,5,1] => [3,2,6,5,7,4,1] => [[1,4,7],[2,5],[3],[6]] => 9
{{1,4},{2,3,7},{5,6}} => [4,3,7,1,6,5,2] => [6,5,7,3,1,4,2] => [[1,2],[3,4],[5,7],[6]] => 17
{{1,4},{2,3},{5,6,7}} => [4,3,2,1,6,7,5] => [3,2,4,1,7,6,5] => [[1,4,5],[2,6],[3,7]] => 8
{{1,4},{2,3},{5,6},{7}} => [4,3,2,1,6,5,7] => [3,2,4,1,6,5,7] => [[1,4,5,7],[2,6],[3]] => 5
{{1,4,7},{2,3},{5},{6}} => [4,3,2,7,5,6,1] => [3,2,5,6,7,4,1] => [[1,4,6,7],[2,5],[3]] => 4
{{1,4},{2,3,7},{5},{6}} => [4,3,7,1,5,6,2] => [5,6,7,3,1,4,2] => [[1,2,7],[3,4],[5,6]] => 12
{{1,4},{2,3},{5,7},{6}} => [4,3,2,1,7,6,5] => [3,2,4,1,6,7,5] => [[1,4,5,7],[2,6],[3]] => 5
{{1,4},{2,3},{5},{6,7}} => [4,3,2,1,5,7,6] => [3,2,4,1,5,7,6] => [[1,4,5,6],[2,7],[3]] => 6
{{1,4},{2,3},{5},{6},{7}} => [4,3,2,1,5,6,7] => [3,2,4,1,5,6,7] => [[1,4,5,6,7],[2],[3]] => 3
{{1,5,6,7},{2,3,4}} => [5,3,4,2,6,7,1] => [4,3,2,7,6,5,1] => [[1,5],[2,6],[3,7],[4]] => 9
{{1,5,6},{2,3,4,7}} => [5,3,4,7,6,1,2] => [6,4,3,1,7,5,2] => [[1,2],[3,5],[4,7],[6]] => 15
{{1,5,6},{2,3,4},{7}} => [5,3,4,2,6,1,7] => [4,3,2,6,5,1,7] => [[1,5,7],[2,6],[3],[4]] => 7
{{1,5,7},{2,3,4,6}} => [5,3,4,6,7,2,1] => [7,4,3,2,6,5,1] => [[1,5],[2,6],[3],[4],[7]] => 13
{{1,5},{2,3,4,6,7}} => [5,3,4,6,1,7,2] => [7,6,4,3,1,5,2] => [[1,2],[3,5],[4],[6],[7]] => 18
{{1,5},{2,3,4,6},{7}} => [5,3,4,6,1,2,7] => [6,4,3,1,5,2,7] => [[1,2,7],[3,5],[4],[6]] => 12
{{1,5,7},{2,3,4},{6}} => [5,3,4,2,7,6,1] => [4,3,2,6,7,5,1] => [[1,5,7],[2,6],[3],[4]] => 7
{{1,5},{2,3,4,7},{6}} => [5,3,4,7,1,6,2] => [6,7,4,3,1,5,2] => [[1,2],[3,5],[4,7],[6]] => 15
{{1,5},{2,3,4},{6,7}} => [5,3,4,2,1,7,6] => [4,3,2,5,1,7,6] => [[1,5,6],[2,7],[3],[4]] => 8
{{1,5},{2,3,4},{6},{7}} => [5,3,4,2,1,6,7] => [4,3,2,5,1,6,7] => [[1,5,6,7],[2],[3],[4]] => 6
{{1,6,7},{2,3,4,5}} => [6,3,4,5,2,7,1] => [5,4,3,2,7,6,1] => [[1,6],[2,7],[3],[4],[5]] => 11
{{1,6},{2,3,4,5,7}} => [6,3,4,5,7,1,2] => [7,5,4,3,1,6,2] => [[1,2],[3,6],[4],[5],[7]] => 17
{{1,6},{2,3,4,5},{7}} => [6,3,4,5,2,1,7] => [5,4,3,2,6,1,7] => [[1,6,7],[2],[3],[4],[5]] => 10
{{1,7},{2,3,4,5,6}} => [7,3,4,5,6,2,1] => [6,5,4,3,2,7,1] => [[1,7],[2],[3],[4],[5],[6]] => 15
{{1},{2,3,4,5,6,7}} => [1,3,4,5,6,7,2] => [1,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7]] => 20
{{1},{2,3,4,5,6},{7}} => [1,3,4,5,6,2,7] => [1,6,5,4,3,2,7] => [[1,2,7],[3],[4],[5],[6]] => 14
{{1,7},{2,3,4,5},{6}} => [7,3,4,5,2,6,1] => [5,4,3,2,6,7,1] => [[1,6,7],[2],[3],[4],[5]] => 10
{{1},{2,3,4,5,7},{6}} => [1,3,4,5,7,6,2] => [1,6,7,5,4,3,2] => [[1,2,7],[3],[4],[5],[6]] => 14
{{1},{2,3,4,5},{6,7}} => [1,3,4,5,2,7,6] => [1,5,4,3,2,7,6] => [[1,2,6],[3,7],[4],[5]] => 12
{{1},{2,3,4,5},{6},{7}} => [1,3,4,5,2,6,7] => [1,5,4,3,2,6,7] => [[1,2,6,7],[3],[4],[5]] => 9
{{1,6,7},{2,3,4},{5}} => [6,3,4,2,5,7,1] => [4,3,2,5,7,6,1] => [[1,5,6],[2,7],[3],[4]] => 8
{{1,6},{2,3,4,7},{5}} => [6,3,4,7,5,1,2] => [5,7,4,3,1,6,2] => [[1,2],[3,6],[4,7],[5]] => 14
{{1,6},{2,3,4},{5,7}} => [6,3,4,2,7,1,5] => [4,3,2,7,1,6,5] => [[1,5],[2,6],[3,7],[4]] => 9
{{1,6},{2,3,4},{5},{7}} => [6,3,4,2,5,1,7] => [4,3,2,5,6,1,7] => [[1,5,6,7],[2],[3],[4]] => 6
{{1,7},{2,3,4,6},{5}} => [7,3,4,6,5,2,1] => [5,6,4,3,2,7,1] => [[1,6,7],[2],[3],[4],[5]] => 10
{{1},{2,3,4,6,7},{5}} => [1,3,4,6,5,7,2] => [1,5,7,6,4,3,2] => [[1,2,6],[3],[4],[5],[7]] => 15
{{1},{2,3,4,6},{5,7}} => [1,3,4,6,7,2,5] => [1,7,4,3,2,6,5] => [[1,2,5],[3,6],[4],[7]] => 14
{{1},{2,3,4,6},{5},{7}} => [1,3,4,6,5,2,7] => [1,5,6,4,3,2,7] => [[1,2,6,7],[3],[4],[5]] => 9
{{1,7},{2,3,4},{5,6}} => [7,3,4,2,6,5,1] => [4,3,2,6,5,7,1] => [[1,5,7],[2,6],[3],[4]] => 7
{{1},{2,3,4,7},{5,6}} => [1,3,4,7,6,5,2] => [1,6,5,7,4,3,2] => [[1,2,7],[3],[4],[5],[6]] => 14
{{1},{2,3,4},{5,6,7}} => [1,3,4,2,6,7,5] => [1,4,3,2,7,6,5] => [[1,2,5],[3,6],[4,7]] => 12
{{1},{2,3,4},{5,6},{7}} => [1,3,4,2,6,5,7] => [1,4,3,2,6,5,7] => [[1,2,5,7],[3,6],[4]] => 8
{{1,7},{2,3,4},{5},{6}} => [7,3,4,2,5,6,1] => [4,3,2,5,6,7,1] => [[1,5,6,7],[2],[3],[4]] => 6
{{1},{2,3,4,7},{5},{6}} => [1,3,4,7,5,6,2] => [1,5,6,7,4,3,2] => [[1,2,6,7],[3],[4],[5]] => 9
{{1},{2,3,4},{5,7},{6}} => [1,3,4,2,7,6,5] => [1,4,3,2,6,7,5] => [[1,2,5,7],[3,6],[4]] => 8
{{1},{2,3,4},{5},{6,7}} => [1,3,4,2,5,7,6] => [1,4,3,2,5,7,6] => [[1,2,5,6],[3,7],[4]] => 9
{{1},{2,3,4},{5},{6},{7}} => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => [[1,2,5,6,7],[3],[4]] => 5
{{1,5,6,7},{2,3},{4}} => [5,3,2,4,6,7,1] => [3,2,4,7,6,5,1] => [[1,4,5],[2,6],[3],[7]] => 11
{{1,5,6},{2,3,7},{4}} => [5,3,7,4,6,1,2] => [4,6,3,1,7,5,2] => [[1,2,7],[3,5],[4,6]] => 10
{{1,5,6},{2,3},{4,7}} => [5,3,2,7,6,1,4] => [3,2,6,1,7,5,4] => [[1,4,7],[2,5],[3,6]] => 6
{{1,5,6},{2,3},{4},{7}} => [5,3,2,4,6,1,7] => [3,2,4,6,5,1,7] => [[1,4,5,7],[2,6],[3]] => 5
{{1,5,7},{2,3,6},{4}} => [5,3,6,4,7,2,1] => [4,7,3,2,6,5,1] => [[1,5],[2,6],[3,7],[4]] => 9
{{1,5},{2,3,6,7},{4}} => [5,3,6,4,1,7,2] => [4,7,6,3,1,5,2] => [[1,2],[3,5],[4,6],[7]] => 16
{{1,5},{2,3,6},{4,7}} => [5,3,6,7,1,2,4] => [7,3,1,6,2,5,4] => [[1,2,4],[3,5],[6],[7]] => 16
{{1,5},{2,3,6},{4},{7}} => [5,3,6,4,1,2,7] => [4,6,3,1,5,2,7] => [[1,2,7],[3,5],[4,6]] => 10
{{1,5,7},{2,3},{4,6}} => [5,3,2,6,7,4,1] => [3,2,7,4,6,5,1] => [[1,4,5],[2,6],[3],[7]] => 11
{{1,5},{2,3,7},{4,6}} => [5,3,7,6,1,4,2] => [6,3,1,7,4,5,2] => [[1,2,5],[3,4],[6,7]] => 14
{{1,5},{2,3},{4,6,7}} => [5,3,2,6,1,7,4] => [3,2,7,6,1,5,4] => [[1,4],[2,5],[3,6],[7]] => 12
{{1,5},{2,3},{4,6},{7}} => [5,3,2,6,1,4,7] => [3,2,6,1,5,4,7] => [[1,4,7],[2,5],[3,6]] => 6
{{1,5,7},{2,3},{4},{6}} => [5,3,2,4,7,6,1] => [3,2,4,6,7,5,1] => [[1,4,5,7],[2,6],[3]] => 5
{{1,5},{2,3,7},{4},{6}} => [5,3,7,4,1,6,2] => [4,6,7,3,1,5,2] => [[1,2,7],[3,5],[4,6]] => 10
{{1,5},{2,3},{4,7},{6}} => [5,3,2,7,1,6,4] => [3,2,6,7,1,5,4] => [[1,4,7],[2,5],[3,6]] => 6
{{1,5},{2,3},{4},{6,7}} => [5,3,2,4,1,7,6] => [3,2,4,5,1,7,6] => [[1,4,5,6],[2,7],[3]] => 6
{{1,5},{2,3},{4},{6},{7}} => [5,3,2,4,1,6,7] => [3,2,4,5,1,6,7] => [[1,4,5,6,7],[2],[3]] => 3
{{1,6,7},{2,3,5},{4}} => [6,3,5,4,2,7,1] => [4,5,3,2,7,6,1] => [[1,5,6],[2,7],[3],[4]] => 8
{{1,6},{2,3,5,7},{4}} => [6,3,5,4,7,1,2] => [4,7,5,3,1,6,2] => [[1,2,6],[3,5],[4],[7]] => 13
{{1,6},{2,3,5},{4,7}} => [6,3,5,7,2,1,4] => [7,3,2,5,1,6,4] => [[1,4,6],[2,5],[3],[7]] => 10
{{1,6},{2,3,5},{4},{7}} => [6,3,5,4,2,1,7] => [4,5,3,2,6,1,7] => [[1,5,6,7],[2],[3],[4]] => 6
{{1,7},{2,3,5,6},{4}} => [7,3,5,4,6,2,1] => [4,6,5,3,2,7,1] => [[1,5,7],[2],[3],[4],[6]] => 11
{{1},{2,3,5,6,7},{4}} => [1,3,5,4,6,7,2] => [1,4,7,6,5,3,2] => [[1,2,5],[3],[4],[6],[7]] => 16
{{1},{2,3,5,6},{4,7}} => [1,3,5,7,6,2,4] => [1,6,3,2,7,5,4] => [[1,2,4],[3,5],[6,7]] => 15
{{1},{2,3,5,6},{4},{7}} => [1,3,5,4,6,2,7] => [1,4,6,5,3,2,7] => [[1,2,5,7],[3],[4],[6]] => 10
{{1,7},{2,3,5},{4,6}} => [7,3,5,6,2,4,1] => [6,3,2,5,4,7,1] => [[1,4,7],[2,5],[3],[6]] => 9
{{1},{2,3,5,7},{4,6}} => [1,3,5,6,7,4,2] => [1,7,4,6,5,3,2] => [[1,2,5],[3],[4],[6],[7]] => 16
{{1},{2,3,5},{4,6,7}} => [1,3,5,6,2,7,4] => [1,7,6,3,2,5,4] => [[1,2,4],[3,5],[6],[7]] => 16
{{1},{2,3,5},{4,6},{7}} => [1,3,5,6,2,4,7] => [1,6,3,2,5,4,7] => [[1,2,4,7],[3,5],[6]] => 10
{{1,7},{2,3,5},{4},{6}} => [7,3,5,4,2,6,1] => [4,5,3,2,6,7,1] => [[1,5,6,7],[2],[3],[4]] => 6
{{1},{2,3,5,7},{4},{6}} => [1,3,5,4,7,6,2] => [1,4,6,7,5,3,2] => [[1,2,5,7],[3],[4],[6]] => 10
{{1},{2,3,5},{4,7},{6}} => [1,3,5,7,2,6,4] => [1,6,7,3,2,5,4] => [[1,2,4],[3,5],[6,7]] => 15
{{1},{2,3,5},{4},{6,7}} => [1,3,5,4,2,7,6] => [1,4,5,3,2,7,6] => [[1,2,5,6],[3,7],[4]] => 9
{{1},{2,3,5},{4},{6},{7}} => [1,3,5,4,2,6,7] => [1,4,5,3,2,6,7] => [[1,2,5,6,7],[3],[4]] => 5
{{1,6,7},{2,3},{4,5}} => [6,3,2,5,4,7,1] => [3,2,5,4,7,6,1] => [[1,4,6],[2,5,7],[3]] => 5
{{1,6},{2,3,7},{4,5}} => [6,3,7,5,4,1,2] => [5,4,7,3,1,6,2] => [[1,2],[3,6],[4,7],[5]] => 14
{{1,6},{2,3},{4,5,7}} => [6,3,2,5,7,1,4] => [3,2,7,5,1,6,4] => [[1,4,6],[2,5],[3,7]] => 7
{{1,6},{2,3},{4,5},{7}} => [6,3,2,5,4,1,7] => [3,2,5,4,6,1,7] => [[1,4,6,7],[2,5],[3]] => 4
{{1,7},{2,3,6},{4,5}} => [7,3,6,5,4,2,1] => [5,4,6,3,2,7,1] => [[1,6,7],[2],[3],[4],[5]] => 10
{{1},{2,3,6,7},{4,5}} => [1,3,6,5,4,7,2] => [1,5,4,7,6,3,2] => [[1,2,6],[3,7],[4],[5]] => 12
{{1},{2,3,6},{4,5,7}} => [1,3,6,5,7,2,4] => [1,7,5,3,2,6,4] => [[1,2,4],[3,6],[5],[7]] => 15
{{1},{2,3,6},{4,5},{7}} => [1,3,6,5,4,2,7] => [1,5,4,6,3,2,7] => [[1,2,6,7],[3],[4],[5]] => 9
{{1,7},{2,3},{4,5,6}} => [7,3,2,5,6,4,1] => [3,2,6,5,4,7,1] => [[1,4,7],[2,5],[3],[6]] => 9
{{1},{2,3,7},{4,5,6}} => [1,3,7,5,6,4,2] => [1,6,5,4,7,3,2] => [[1,2,7],[3],[4],[5],[6]] => 14
{{1},{2,3},{4,5,6,7}} => [1,3,2,5,6,7,4] => [1,3,2,7,6,5,4] => [[1,2,4],[3,5],[6],[7]] => 16
{{1},{2,3},{4,5,6},{7}} => [1,3,2,5,6,4,7] => [1,3,2,6,5,4,7] => [[1,2,4,7],[3,5],[6]] => 10
{{1,7},{2,3},{4,5},{6}} => [7,3,2,5,4,6,1] => [3,2,5,4,6,7,1] => [[1,4,6,7],[2,5],[3]] => 4
{{1},{2,3,7},{4,5},{6}} => [1,3,7,5,4,6,2] => [1,5,4,6,7,3,2] => [[1,2,6,7],[3],[4],[5]] => 9
{{1},{2,3},{4,5,7},{6}} => [1,3,2,5,7,6,4] => [1,3,2,6,7,5,4] => [[1,2,4,7],[3,5],[6]] => 10
{{1},{2,3},{4,5},{6,7}} => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [[1,2,4,6],[3,5,7]] => 9
{{1},{2,3},{4,5},{6},{7}} => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [[1,2,4,6,7],[3,5]] => 5
{{1,6,7},{2,3},{4},{5}} => [6,3,2,4,5,7,1] => [3,2,4,5,7,6,1] => [[1,4,5,6],[2,7],[3]] => 6
{{1,6},{2,3,7},{4},{5}} => [6,3,7,4,5,1,2] => [4,5,7,3,1,6,2] => [[1,2,6],[3,5],[4,7]] => 11
{{1,6},{2,3},{4,7},{5}} => [6,3,2,7,5,1,4] => [3,2,5,7,1,6,4] => [[1,4,6],[2,5],[3,7]] => 7
{{1,6},{2,3},{4},{5,7}} => [6,3,2,4,7,1,5] => [3,2,4,7,1,6,5] => [[1,4,5],[2,6],[3,7]] => 8
{{1,6},{2,3},{4},{5},{7}} => [6,3,2,4,5,1,7] => [3,2,4,5,6,1,7] => [[1,4,5,6,7],[2],[3]] => 3
{{1,7},{2,3,6},{4},{5}} => [7,3,6,4,5,2,1] => [4,5,6,3,2,7,1] => [[1,5,6,7],[2],[3],[4]] => 6
{{1},{2,3,6,7},{4},{5}} => [1,3,6,4,5,7,2] => [1,4,5,7,6,3,2] => [[1,2,5,6],[3],[4],[7]] => 11
{{1},{2,3,6},{4,7},{5}} => [1,3,6,7,5,2,4] => [1,5,7,3,2,6,4] => [[1,2,4],[3,6],[5,7]] => 13
{{1},{2,3,6},{4},{5,7}} => [1,3,6,4,7,2,5] => [1,4,7,3,2,6,5] => [[1,2,5],[3,6],[4,7]] => 12
{{1},{2,3,6},{4},{5},{7}} => [1,3,6,4,5,2,7] => [1,4,5,6,3,2,7] => [[1,2,5,6,7],[3],[4]] => 5
{{1,7},{2,3},{4,6},{5}} => [7,3,2,6,5,4,1] => [3,2,5,6,4,7,1] => [[1,4,6,7],[2,5],[3]] => 4
{{1},{2,3,7},{4,6},{5}} => [1,3,7,6,5,4,2] => [1,5,6,4,7,3,2] => [[1,2,6,7],[3],[4],[5]] => 9
{{1},{2,3},{4,6,7},{5}} => [1,3,2,6,5,7,4] => [1,3,2,5,7,6,4] => [[1,2,4,6],[3,5],[7]] => 11
{{1},{2,3},{4,6},{5,7}} => [1,3,2,6,7,4,5] => [1,3,2,7,4,6,5] => [[1,2,4,5],[3,6],[7]] => 12
{{1},{2,3},{4,6},{5},{7}} => [1,3,2,6,5,4,7] => [1,3,2,5,6,4,7] => [[1,2,4,6,7],[3,5]] => 5
{{1,7},{2,3},{4},{5,6}} => [7,3,2,4,6,5,1] => [3,2,4,6,5,7,1] => [[1,4,5,7],[2,6],[3]] => 5
{{1},{2,3,7},{4},{5,6}} => [1,3,7,4,6,5,2] => [1,4,6,5,7,3,2] => [[1,2,5,7],[3],[4],[6]] => 10
{{1},{2,3},{4,7},{5,6}} => [1,3,2,7,6,5,4] => [1,3,2,6,5,7,4] => [[1,2,4,7],[3,5],[6]] => 10
{{1},{2,3},{4},{5,6,7}} => [1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] => [[1,2,4,5],[3,6],[7]] => 12
{{1},{2,3},{4},{5,6},{7}} => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [[1,2,4,5,7],[3,6]] => 6
{{1,7},{2,3},{4},{5},{6}} => [7,3,2,4,5,6,1] => [3,2,4,5,6,7,1] => [[1,4,5,6,7],[2],[3]] => 3
{{1},{2,3,7},{4},{5},{6}} => [1,3,7,4,5,6,2] => [1,4,5,6,7,3,2] => [[1,2,5,6,7],[3],[4]] => 5
{{1},{2,3},{4,7},{5},{6}} => [1,3,2,7,5,6,4] => [1,3,2,5,6,7,4] => [[1,2,4,6,7],[3,5]] => 5
{{1},{2,3},{4},{5,7},{6}} => [1,3,2,4,7,6,5] => [1,3,2,4,6,7,5] => [[1,2,4,5,7],[3,6]] => 6
{{1},{2,3},{4},{5},{6,7}} => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [[1,2,4,5,6],[3,7]] => 7
{{1},{2,3},{4},{5},{6},{7}} => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [[1,2,4,5,6,7],[3]] => 2
{{1,4,5,6,7},{2},{3}} => [4,2,3,5,6,7,1] => [2,3,7,6,5,4,1] => [[1,3,4],[2],[5],[6],[7]] => 16
{{1,4,5,6},{2,7},{3}} => [4,7,3,5,6,1,2] => [3,6,5,1,7,4,2] => [[1,2,7],[3,4],[5],[6]] => 13
{{1,4,5,6},{2},{3,7}} => [4,2,7,5,6,1,3] => [2,6,5,1,7,4,3] => [[1,3,7],[2,4],[5],[6]] => 11
{{1,4,5,6},{2},{3},{7}} => [4,2,3,5,6,1,7] => [2,3,6,5,4,1,7] => [[1,3,4,7],[2],[5],[6]] => 10
{{1,4,5,7},{2,6},{3}} => [4,6,3,5,7,2,1] => [3,7,5,2,6,4,1] => [[1,4,6],[2,5],[3],[7]] => 10
{{1,4,5},{2,6,7},{3}} => [4,6,3,5,1,7,2] => [3,5,1,7,6,4,2] => [[1,2,6],[3,4],[5],[7]] => 14
{{1,4,5},{2,6},{3,7}} => [4,6,7,5,1,2,3] => [5,1,7,2,6,4,3] => [[1,2,3],[4,6],[5],[7]] => 16
{{1,4,5},{2,6},{3},{7}} => [4,6,3,5,1,2,7] => [3,5,1,6,4,2,7] => [[1,2,6,7],[3,4],[5]] => 8
{{1,4,5,7},{2},{3,6}} => [4,2,6,5,7,3,1] => [2,7,5,3,6,4,1] => [[1,3,4],[2,6],[5],[7]] => 13
{{1,4,5},{2,7},{3,6}} => [4,7,6,5,1,3,2] => [5,1,6,3,7,4,2] => [[1,2,4],[3,6,7],[5]] => 12
{{1,4,5},{2},{3,6,7}} => [4,2,6,5,1,7,3] => [2,5,1,7,6,4,3] => [[1,3,6],[2,4],[5],[7]] => 12
{{1,4,5},{2},{3,6},{7}} => [4,2,6,5,1,3,7] => [2,5,1,6,4,3,7] => [[1,3,6,7],[2,4],[5]] => 6
{{1,4,5,7},{2},{3},{6}} => [4,2,3,5,7,6,1] => [2,3,6,7,5,4,1] => [[1,3,4,7],[2],[5],[6]] => 10
{{1,4,5},{2,7},{3},{6}} => [4,7,3,5,1,6,2] => [3,5,1,6,7,4,2] => [[1,2,6,7],[3,4],[5]] => 8
{{1,4,5},{2},{3,7},{6}} => [4,2,7,5,1,6,3] => [2,5,1,6,7,4,3] => [[1,3,6,7],[2,4],[5]] => 6
{{1,4,5},{2},{3},{6,7}} => [4,2,3,5,1,7,6] => [2,3,5,4,1,7,6] => [[1,3,4,6],[2,7],[5]] => 8
{{1,4,5},{2},{3},{6},{7}} => [4,2,3,5,1,6,7] => [2,3,5,4,1,6,7] => [[1,3,4,6,7],[2],[5]] => 5
{{1,4,6,7},{2,5},{3}} => [4,5,3,6,2,7,1] => [3,7,6,2,5,4,1] => [[1,4],[2,5],[3],[6],[7]] => 15
{{1,4,6},{2,5,7},{3}} => [4,5,3,6,7,1,2] => [3,7,1,6,5,4,2] => [[1,2],[3,4],[5],[6],[7]] => 19
{{1,4,6},{2,5},{3,7}} => [4,5,7,6,2,1,3] => [6,2,7,1,5,4,3] => [[1,3],[2,4],[5,7],[6]] => 15
{{1,4,6},{2,5},{3},{7}} => [4,5,3,6,2,1,7] => [3,6,2,5,4,1,7] => [[1,4,7],[2,5],[3],[6]] => 9
{{1,4,7},{2,5,6},{3}} => [4,5,3,7,6,2,1] => [3,6,2,7,5,4,1] => [[1,4,7],[2,5],[3],[6]] => 9
{{1,4},{2,5,6,7},{3}} => [4,5,3,1,6,7,2] => [3,7,6,5,1,4,2] => [[1,2],[3,4],[5],[6],[7]] => 19
{{1,4},{2,5,6},{3,7}} => [4,5,7,1,6,2,3] => [6,1,7,5,2,4,3] => [[1,2,3],[4,7],[5],[6]] => 15
{{1,4},{2,5,6},{3},{7}} => [4,5,3,1,6,2,7] => [3,6,5,1,4,2,7] => [[1,2,7],[3,4],[5],[6]] => 13
{{1,4,7},{2,5},{3,6}} => [4,5,6,7,2,3,1] => [7,2,6,3,5,4,1] => [[1,3,4],[2],[5],[6],[7]] => 16
{{1,4},{2,5,7},{3,6}} => [4,5,6,1,7,3,2] => [7,1,6,5,3,4,2] => [[1,2,4],[3],[5],[6],[7]] => 17
{{1,4},{2,5},{3,6,7}} => [4,5,6,1,2,7,3] => [7,6,1,5,2,4,3] => [[1,2,3],[4],[5],[6],[7]] => 18
{{1,4},{2,5},{3,6},{7}} => [4,5,6,1,2,3,7] => [6,1,5,2,4,3,7] => [[1,2,3,7],[4],[5],[6]] => 12
{{1,4,7},{2,5},{3},{6}} => [4,5,3,7,2,6,1] => [3,6,7,2,5,4,1] => [[1,4,7],[2,5],[3],[6]] => 9
{{1,4},{2,5,7},{3},{6}} => [4,5,3,1,7,6,2] => [3,6,7,5,1,4,2] => [[1,2,7],[3,4],[5],[6]] => 13
{{1,4},{2,5},{3,7},{6}} => [4,5,7,1,2,6,3] => [6,7,1,5,2,4,3] => [[1,2,3],[4,7],[5],[6]] => 15
{{1,4},{2,5},{3},{6,7}} => [4,5,3,1,2,7,6] => [3,5,1,4,2,7,6] => [[1,2,6],[3,4,7],[5]] => 9
{{1,4},{2,5},{3},{6},{7}} => [4,5,3,1,2,6,7] => [3,5,1,4,2,6,7] => [[1,2,6,7],[3,4],[5]] => 8
{{1,4,6,7},{2},{3,5}} => [4,2,5,6,3,7,1] => [2,7,6,3,5,4,1] => [[1,3,4],[2],[5],[6],[7]] => 16
{{1,4,6},{2,7},{3,5}} => [4,7,5,6,3,1,2] => [6,3,5,1,7,4,2] => [[1,2,7],[3,4],[5],[6]] => 13
{{1,4,6},{2},{3,5,7}} => [4,2,5,6,7,1,3] => [2,7,1,6,5,4,3] => [[1,3],[2,4],[5],[6],[7]] => 17
{{1,4,6},{2},{3,5},{7}} => [4,2,5,6,3,1,7] => [2,6,3,5,4,1,7] => [[1,3,4,7],[2],[5],[6]] => 10
{{1,4,7},{2,6},{3,5}} => [4,6,5,7,3,2,1] => [7,3,5,2,6,4,1] => [[1,4,6],[2,5],[3],[7]] => 10
{{1,4},{2,6,7},{3,5}} => [4,6,5,1,3,7,2] => [5,1,7,6,3,4,2] => [[1,2,4],[3,6],[5],[7]] => 15
{{1,4},{2,6},{3,5,7}} => [4,6,5,1,7,2,3] => [7,5,1,6,2,4,3] => [[1,2,3],[4,6],[5],[7]] => 16
{{1,4},{2,6},{3,5},{7}} => [4,6,5,1,3,2,7] => [5,1,6,3,4,2,7] => [[1,2,4,7],[3,6],[5]] => 9
{{1,4,7},{2},{3,5,6}} => [4,2,5,7,6,3,1] => [2,6,3,7,5,4,1] => [[1,3,4],[2,7],[5],[6]] => 12
{{1,4},{2,7},{3,5,6}} => [4,7,5,1,6,3,2] => [6,5,1,7,3,4,2] => [[1,2,4],[3,7],[5],[6]] => 14
{{1,4},{2},{3,5,6,7}} => [4,2,5,1,6,7,3] => [2,7,6,5,1,4,3] => [[1,3],[2,4],[5],[6],[7]] => 17
{{1,4},{2},{3,5,6},{7}} => [4,2,5,1,6,3,7] => [2,6,5,1,4,3,7] => [[1,3,7],[2,4],[5],[6]] => 11
{{1,4,7},{2},{3,5},{6}} => [4,2,5,7,3,6,1] => [2,6,7,3,5,4,1] => [[1,3,4],[2,7],[5],[6]] => 12
{{1,4},{2,7},{3,5},{6}} => [4,7,5,1,3,6,2] => [5,1,6,7,3,4,2] => [[1,2,4],[3,6,7],[5]] => 12
{{1,4},{2},{3,5,7},{6}} => [4,2,5,1,7,6,3] => [2,6,7,5,1,4,3] => [[1,3,7],[2,4],[5],[6]] => 11
{{1,4},{2},{3,5},{6,7}} => [4,2,5,1,3,7,6] => [2,5,1,4,3,7,6] => [[1,3,6],[2,4,7],[5]] => 7
{{1,4},{2},{3,5},{6},{7}} => [4,2,5,1,3,6,7] => [2,5,1,4,3,6,7] => [[1,3,6,7],[2,4],[5]] => 6
{{1,4,6,7},{2},{3},{5}} => [4,2,3,6,5,7,1] => [2,3,5,7,6,4,1] => [[1,3,4,6],[2],[5],[7]] => 11
{{1,4,6},{2,7},{3},{5}} => [4,7,3,6,5,1,2] => [3,5,6,1,7,4,2] => [[1,2,6,7],[3,4],[5]] => 8
{{1,4,6},{2},{3,7},{5}} => [4,2,7,6,5,1,3] => [2,5,6,1,7,4,3] => [[1,3,6,7],[2,4],[5]] => 6
{{1,4,6},{2},{3},{5,7}} => [4,2,3,6,7,1,5] => [2,3,7,4,1,6,5] => [[1,3,4,5],[2,6],[7]] => 10
{{1,4,6},{2},{3},{5},{7}} => [4,2,3,6,5,1,7] => [2,3,5,6,4,1,7] => [[1,3,4,6,7],[2],[5]] => 5
{{1,4,7},{2,6},{3},{5}} => [4,6,3,7,5,2,1] => [3,5,7,2,6,4,1] => [[1,4,6],[2,5],[3],[7]] => 10
{{1,4},{2,6,7},{3},{5}} => [4,6,3,1,5,7,2] => [3,5,7,6,1,4,2] => [[1,2,6],[3,4],[5],[7]] => 14
{{1,4},{2,6},{3,7},{5}} => [4,6,7,1,5,2,3] => [5,7,1,6,2,4,3] => [[1,2,3],[4,6],[5],[7]] => 16
{{1,4},{2,6},{3},{5,7}} => [4,6,3,1,7,2,5] => [3,7,1,4,2,6,5] => [[1,2,5],[3,4,6],[7]] => 11
{{1,4},{2,6},{3},{5},{7}} => [4,6,3,1,5,2,7] => [3,5,6,1,4,2,7] => [[1,2,6,7],[3,4],[5]] => 8
{{1,4,7},{2},{3,6},{5}} => [4,2,6,7,5,3,1] => [2,5,7,3,6,4,1] => [[1,3,4],[2,6],[5],[7]] => 13
{{1,4},{2,7},{3,6},{5}} => [4,7,6,1,5,3,2] => [5,6,1,7,3,4,2] => [[1,2,4],[3,6,7],[5]] => 12
{{1,4},{2},{3,6,7},{5}} => [4,2,6,1,5,7,3] => [2,5,7,6,1,4,3] => [[1,3,6],[2,4],[5],[7]] => 12
{{1,4},{2},{3,6},{5,7}} => [4,2,6,1,7,3,5] => [2,7,1,4,3,6,5] => [[1,3,5],[2,4,6],[7]] => 9
{{1,4},{2},{3,6},{5},{7}} => [4,2,6,1,5,3,7] => [2,5,6,1,4,3,7] => [[1,3,6,7],[2,4],[5]] => 6
{{1,4,7},{2},{3},{5,6}} => [4,2,3,7,6,5,1] => [2,3,6,5,7,4,1] => [[1,3,4,7],[2],[5],[6]] => 10
{{1,4},{2,7},{3},{5,6}} => [4,7,3,1,6,5,2] => [3,6,5,7,1,4,2] => [[1,2,7],[3,4],[5],[6]] => 13
{{1,4},{2},{3,7},{5,6}} => [4,2,7,1,6,5,3] => [2,6,5,7,1,4,3] => [[1,3,7],[2,4],[5],[6]] => 11
{{1,4},{2},{3},{5,6,7}} => [4,2,3,1,6,7,5] => [2,3,4,1,7,6,5] => [[1,3,4,5],[2,6],[7]] => 10
{{1,4},{2},{3},{5,6},{7}} => [4,2,3,1,6,5,7] => [2,3,4,1,6,5,7] => [[1,3,4,5,7],[2,6]] => 4
{{1,4,7},{2},{3},{5},{6}} => [4,2,3,7,5,6,1] => [2,3,5,6,7,4,1] => [[1,3,4,6,7],[2],[5]] => 5
{{1,4},{2,7},{3},{5},{6}} => [4,7,3,1,5,6,2] => [3,5,6,7,1,4,2] => [[1,2,6,7],[3,4],[5]] => 8
{{1,4},{2},{3,7},{5},{6}} => [4,2,7,1,5,6,3] => [2,5,6,7,1,4,3] => [[1,3,6,7],[2,4],[5]] => 6
{{1,4},{2},{3},{5,7},{6}} => [4,2,3,1,7,6,5] => [2,3,4,1,6,7,5] => [[1,3,4,5,7],[2,6]] => 4
{{1,4},{2},{3},{5},{6,7}} => [4,2,3,1,5,7,6] => [2,3,4,1,5,7,6] => [[1,3,4,5,6],[2,7]] => 5
{{1,4},{2},{3},{5},{6},{7}} => [4,2,3,1,5,6,7] => [2,3,4,1,5,6,7] => [[1,3,4,5,6,7],[2]] => 1
{{1,5,6,7},{2,4},{3}} => [5,4,3,2,6,7,1] => [3,4,2,7,6,5,1] => [[1,4,5],[2,6],[3],[7]] => 11
{{1,5,6},{2,4,7},{3}} => [5,4,3,7,6,1,2] => [3,6,4,1,7,5,2] => [[1,2,5],[3,4],[6,7]] => 14
{{1,5,6},{2,4},{3,7}} => [5,4,7,2,6,1,3] => [6,2,4,1,7,5,3] => [[1,3,5],[2,4],[6,7]] => 12
{{1,5,6},{2,4},{3},{7}} => [5,4,3,2,6,1,7] => [3,4,2,6,5,1,7] => [[1,4,5,7],[2,6],[3]] => 5
{{1,5,7},{2,4,6},{3}} => [5,4,3,6,7,2,1] => [3,7,4,2,6,5,1] => [[1,4,5],[2,6],[3],[7]] => 11
{{1,5},{2,4,6,7},{3}} => [5,4,3,6,1,7,2] => [3,7,6,4,1,5,2] => [[1,2,5],[3,4],[6],[7]] => 15
{{1,5},{2,4,6},{3,7}} => [5,4,7,6,1,2,3] => [6,1,7,4,2,5,3] => [[1,2,3],[4,5],[6,7]] => 16
{{1,5},{2,4,6},{3},{7}} => [5,4,3,6,1,2,7] => [3,6,4,1,5,2,7] => [[1,2,5,7],[3,4],[6]] => 9
{{1,5,7},{2,4},{3,6}} => [5,4,6,2,7,3,1] => [7,2,4,3,6,5,1] => [[1,3,5],[2,6],[4],[7]] => 12
{{1,5},{2,4,7},{3,6}} => [5,4,6,7,1,3,2] => [7,1,6,4,3,5,2] => [[1,2,5],[3],[4],[6],[7]] => 16
{{1,5},{2,4},{3,6,7}} => [5,4,6,2,1,7,3] => [7,6,2,4,1,5,3] => [[1,3,5],[2,4],[6],[7]] => 13
{{1,5},{2,4},{3,6},{7}} => [5,4,6,2,1,3,7] => [6,2,4,1,5,3,7] => [[1,3,5,7],[2,4],[6]] => 7
{{1,5,7},{2,4},{3},{6}} => [5,4,3,2,7,6,1] => [3,4,2,6,7,5,1] => [[1,4,5,7],[2,6],[3]] => 5
{{1,5},{2,4,7},{3},{6}} => [5,4,3,7,1,6,2] => [3,6,7,4,1,5,2] => [[1,2,5],[3,4],[6,7]] => 14
{{1,5},{2,4},{3,7},{6}} => [5,4,7,2,1,6,3] => [6,7,2,4,1,5,3] => [[1,3,5],[2,4],[6,7]] => 12
{{1,5},{2,4},{3},{6,7}} => [5,4,3,2,1,7,6] => [3,4,2,5,1,7,6] => [[1,4,5,6],[2,7],[3]] => 6
{{1,5},{2,4},{3},{6},{7}} => [5,4,3,2,1,6,7] => [3,4,2,5,1,6,7] => [[1,4,5,6,7],[2],[3]] => 3
{{1,6,7},{2,4,5},{3}} => [6,4,3,5,2,7,1] => [3,5,4,2,7,6,1] => [[1,4,6],[2,7],[3],[5]] => 9
{{1,6},{2,4,5,7},{3}} => [6,4,3,5,7,1,2] => [3,7,5,4,1,6,2] => [[1,2,6],[3,4],[5],[7]] => 14
{{1,6},{2,4,5},{3,7}} => [6,4,7,5,2,1,3] => [5,2,7,4,1,6,3] => [[1,3,6],[2,4],[5,7]] => 11
{{1,6},{2,4,5},{3},{7}} => [6,4,3,5,2,1,7] => [3,5,4,2,6,1,7] => [[1,4,6,7],[2],[3],[5]] => 7
{{1,7},{2,4,5,6},{3}} => [7,4,3,5,6,2,1] => [3,6,5,4,2,7,1] => [[1,4,7],[2],[3],[5],[6]] => 12
{{1},{2,4,5,6,7},{3}} => [1,4,3,5,6,7,2] => [1,3,7,6,5,4,2] => [[1,2,4],[3],[5],[6],[7]] => 17
{{1},{2,4,5,6},{3,7}} => [1,4,7,5,6,2,3] => [1,6,5,2,7,4,3] => [[1,2,3],[4,7],[5],[6]] => 15
{{1},{2,4,5,6},{3},{7}} => [1,4,3,5,6,2,7] => [1,3,6,5,4,2,7] => [[1,2,4,7],[3],[5],[6]] => 11
{{1,7},{2,4,5},{3,6}} => [7,4,6,5,2,3,1] => [5,2,6,4,3,7,1] => [[1,3,7],[2,6],[4],[5]] => 9
{{1},{2,4,5,7},{3,6}} => [1,4,6,5,7,3,2] => [1,7,5,3,6,4,2] => [[1,2,4],[3,6],[5],[7]] => 15
{{1},{2,4,5},{3,6,7}} => [1,4,6,5,2,7,3] => [1,5,2,7,6,4,3] => [[1,2,3],[4,6],[5],[7]] => 16
{{1},{2,4,5},{3,6},{7}} => [1,4,6,5,2,3,7] => [1,5,2,6,4,3,7] => [[1,2,3,7],[4,6],[5]] => 10
{{1,7},{2,4,5},{3},{6}} => [7,4,3,5,2,6,1] => [3,5,4,2,6,7,1] => [[1,4,6,7],[2],[3],[5]] => 7
{{1},{2,4,5,7},{3},{6}} => [1,4,3,5,7,6,2] => [1,3,6,7,5,4,2] => [[1,2,4,7],[3],[5],[6]] => 11
{{1},{2,4,5},{3,7},{6}} => [1,4,7,5,2,6,3] => [1,5,2,6,7,4,3] => [[1,2,3,7],[4,6],[5]] => 10
{{1},{2,4,5},{3},{6,7}} => [1,4,3,5,2,7,6] => [1,3,5,4,2,7,6] => [[1,2,4,6],[3,7],[5]] => 10
{{1},{2,4,5},{3},{6},{7}} => [1,4,3,5,2,6,7] => [1,3,5,4,2,6,7] => [[1,2,4,6,7],[3],[5]] => 6
{{1,6,7},{2,4},{3,5}} => [6,4,5,2,3,7,1] => [5,2,4,3,7,6,1] => [[1,3,6],[2,7],[4],[5]] => 10
{{1,6},{2,4,7},{3,5}} => [6,4,5,7,3,1,2] => [7,3,5,4,1,6,2] => [[1,2,6],[3,4],[5],[7]] => 14
{{1,6},{2,4},{3,5,7}} => [6,4,5,2,7,1,3] => [7,5,2,4,1,6,3] => [[1,3,6],[2,4],[5],[7]] => 12
{{1,6},{2,4},{3,5},{7}} => [6,4,5,2,3,1,7] => [5,2,4,3,6,1,7] => [[1,3,6,7],[2],[4],[5]] => 8
{{1,7},{2,4,6},{3,5}} => [7,4,5,6,3,2,1] => [6,3,5,4,2,7,1] => [[1,4,7],[2],[3],[5],[6]] => 12
{{1},{2,4,6,7},{3,5}} => [1,4,5,6,3,7,2] => [1,7,6,3,5,4,2] => [[1,2,4],[3],[5],[6],[7]] => 17
{{1},{2,4,6},{3,5,7}} => [1,4,5,6,7,2,3] => [1,7,2,6,5,4,3] => [[1,2,3],[4],[5],[6],[7]] => 18
{{1},{2,4,6},{3,5},{7}} => [1,4,5,6,3,2,7] => [1,6,3,5,4,2,7] => [[1,2,4,7],[3],[5],[6]] => 11
{{1,7},{2,4},{3,5,6}} => [7,4,5,2,6,3,1] => [6,5,2,4,3,7,1] => [[1,3,7],[2],[4],[5],[6]] => 13
{{1},{2,4,7},{3,5,6}} => [1,4,5,7,6,3,2] => [1,6,3,7,5,4,2] => [[1,2,4],[3,7],[5],[6]] => 14
{{1},{2,4},{3,5,6,7}} => [1,4,5,2,6,7,3] => [1,7,6,5,2,4,3] => [[1,2,3],[4],[5],[6],[7]] => 18
{{1},{2,4},{3,5,6},{7}} => [1,4,5,2,6,3,7] => [1,6,5,2,4,3,7] => [[1,2,3,7],[4],[5],[6]] => 12
{{1,7},{2,4},{3,5},{6}} => [7,4,5,2,3,6,1] => [5,2,4,3,6,7,1] => [[1,3,6,7],[2],[4],[5]] => 8
{{1},{2,4,7},{3,5},{6}} => [1,4,5,7,3,6,2] => [1,6,7,3,5,4,2] => [[1,2,4],[3,7],[5],[6]] => 14
{{1},{2,4},{3,5,7},{6}} => [1,4,5,2,7,6,3] => [1,6,7,5,2,4,3] => [[1,2,3],[4,7],[5],[6]] => 15
{{1},{2,4},{3,5},{6,7}} => [1,4,5,2,3,7,6] => [1,5,2,4,3,7,6] => [[1,2,3,6],[4,7],[5]] => 11
{{1},{2,4},{3,5},{6},{7}} => [1,4,5,2,3,6,7] => [1,5,2,4,3,6,7] => [[1,2,3,6,7],[4],[5]] => 7
{{1,6,7},{2,4},{3},{5}} => [6,4,3,2,5,7,1] => [3,4,2,5,7,6,1] => [[1,4,5,6],[2,7],[3]] => 6
{{1,6},{2,4,7},{3},{5}} => [6,4,3,7,5,1,2] => [3,5,7,4,1,6,2] => [[1,2,6],[3,4],[5,7]] => 13
{{1,6},{2,4},{3,7},{5}} => [6,4,7,2,5,1,3] => [5,7,2,4,1,6,3] => [[1,3,6],[2,4],[5,7]] => 11
{{1,6},{2,4},{3},{5,7}} => [6,4,3,2,7,1,5] => [3,4,2,7,1,6,5] => [[1,4,5],[2,6],[3,7]] => 8
{{1,6},{2,4},{3},{5},{7}} => [6,4,3,2,5,1,7] => [3,4,2,5,6,1,7] => [[1,4,5,6,7],[2],[3]] => 3
{{1,7},{2,4,6},{3},{5}} => [7,4,3,6,5,2,1] => [3,5,6,4,2,7,1] => [[1,4,6,7],[2],[3],[5]] => 7
{{1},{2,4,6,7},{3},{5}} => [1,4,3,6,5,7,2] => [1,3,5,7,6,4,2] => [[1,2,4,6],[3],[5],[7]] => 12
{{1},{2,4,6},{3,7},{5}} => [1,4,7,6,5,2,3] => [1,5,6,2,7,4,3] => [[1,2,3,7],[4,6],[5]] => 10
{{1},{2,4,6},{3},{5,7}} => [1,4,3,6,7,2,5] => [1,3,7,4,2,6,5] => [[1,2,4,5],[3,6],[7]] => 12
{{1},{2,4,6},{3},{5},{7}} => [1,4,3,6,5,2,7] => [1,3,5,6,4,2,7] => [[1,2,4,6,7],[3],[5]] => 6
{{1,7},{2,4},{3,6},{5}} => [7,4,6,2,5,3,1] => [5,6,2,4,3,7,1] => [[1,3,7],[2,6],[4],[5]] => 9
{{1},{2,4,7},{3,6},{5}} => [1,4,6,7,5,3,2] => [1,5,7,3,6,4,2] => [[1,2,4],[3,6],[5],[7]] => 15
{{1},{2,4},{3,6,7},{5}} => [1,4,6,2,5,7,3] => [1,5,7,6,2,4,3] => [[1,2,3],[4,6],[5],[7]] => 16
{{1},{2,4},{3,6},{5,7}} => [1,4,6,2,7,3,5] => [1,7,2,4,3,6,5] => [[1,2,3,5],[4,6],[7]] => 13
{{1},{2,4},{3,6},{5},{7}} => [1,4,6,2,5,3,7] => [1,5,6,2,4,3,7] => [[1,2,3,7],[4,6],[5]] => 10
{{1,7},{2,4},{3},{5,6}} => [7,4,3,2,6,5,1] => [3,4,2,6,5,7,1] => [[1,4,5,7],[2,6],[3]] => 5
{{1},{2,4,7},{3},{5,6}} => [1,4,3,7,6,5,2] => [1,3,6,5,7,4,2] => [[1,2,4,7],[3],[5],[6]] => 11
{{1},{2,4},{3,7},{5,6}} => [1,4,7,2,6,5,3] => [1,6,5,7,2,4,3] => [[1,2,3],[4,7],[5],[6]] => 15
{{1},{2,4},{3},{5,6,7}} => [1,4,3,2,6,7,5] => [1,3,4,2,7,6,5] => [[1,2,4,5],[3,6],[7]] => 12
{{1},{2,4},{3},{5,6},{7}} => [1,4,3,2,6,5,7] => [1,3,4,2,6,5,7] => [[1,2,4,5,7],[3,6]] => 6
{{1,7},{2,4},{3},{5},{6}} => [7,4,3,2,5,6,1] => [3,4,2,5,6,7,1] => [[1,4,5,6,7],[2],[3]] => 3
{{1},{2,4,7},{3},{5},{6}} => [1,4,3,7,5,6,2] => [1,3,5,6,7,4,2] => [[1,2,4,6,7],[3],[5]] => 6
{{1},{2,4},{3,7},{5},{6}} => [1,4,7,2,5,6,3] => [1,5,6,7,2,4,3] => [[1,2,3,7],[4,6],[5]] => 10
{{1},{2,4},{3},{5,7},{6}} => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5] => [[1,2,4,5,7],[3,6]] => 6
{{1},{2,4},{3},{5},{6,7}} => [1,4,3,2,5,7,6] => [1,3,4,2,5,7,6] => [[1,2,4,5,6],[3,7]] => 7
{{1},{2,4},{3},{5},{6},{7}} => [1,4,3,2,5,6,7] => [1,3,4,2,5,6,7] => [[1,2,4,5,6,7],[3]] => 2
{{1,5,6,7},{2},{3,4}} => [5,2,4,3,6,7,1] => [2,4,3,7,6,5,1] => [[1,3,5],[2,6],[4],[7]] => 12
{{1,5,6},{2,7},{3,4}} => [5,7,4,3,6,1,2] => [4,3,6,1,7,5,2] => [[1,2,7],[3,5],[4,6]] => 10
{{1,5,6},{2},{3,4,7}} => [5,2,4,7,6,1,3] => [2,6,4,1,7,5,3] => [[1,3,5],[2,4],[6,7]] => 12
{{1,5,6},{2},{3,4},{7}} => [5,2,4,3,6,1,7] => [2,4,3,6,5,1,7] => [[1,3,5,7],[2,6],[4]] => 6
{{1,5,7},{2,6},{3,4}} => [5,6,4,3,7,2,1] => [4,3,7,2,6,5,1] => [[1,5],[2,6],[3,7],[4]] => 9
{{1,5},{2,6,7},{3,4}} => [5,6,4,3,1,7,2] => [4,3,7,6,1,5,2] => [[1,2],[3,5],[4,6],[7]] => 16
{{1,5},{2,6},{3,4,7}} => [5,6,4,7,1,2,3] => [7,4,1,6,2,5,3] => [[1,2,3],[4,5],[6],[7]] => 17
{{1,5},{2,6},{3,4},{7}} => [5,6,4,3,1,2,7] => [4,3,6,1,5,2,7] => [[1,2,7],[3,5],[4,6]] => 10
{{1,5,7},{2},{3,4,6}} => [5,2,4,6,7,3,1] => [2,7,4,3,6,5,1] => [[1,3,5],[2,6],[4],[7]] => 12
{{1,5},{2,7},{3,4,6}} => [5,7,4,6,1,3,2] => [6,4,1,7,3,5,2] => [[1,2,5],[3,7],[4],[6]] => 13
{{1,5},{2},{3,4,6,7}} => [5,2,4,6,1,7,3] => [2,7,6,4,1,5,3] => [[1,3,5],[2,4],[6],[7]] => 13
{{1,5},{2},{3,4,6},{7}} => [5,2,4,6,1,3,7] => [2,6,4,1,5,3,7] => [[1,3,5,7],[2,4],[6]] => 7
{{1,5,7},{2},{3,4},{6}} => [5,2,4,3,7,6,1] => [2,4,3,6,7,5,1] => [[1,3,5,7],[2,6],[4]] => 6
{{1,5},{2,7},{3,4},{6}} => [5,7,4,3,1,6,2] => [4,3,6,7,1,5,2] => [[1,2,7],[3,5],[4,6]] => 10
{{1,5},{2},{3,4,7},{6}} => [5,2,4,7,1,6,3] => [2,6,7,4,1,5,3] => [[1,3,5],[2,4],[6,7]] => 12
{{1,5},{2},{3,4},{6,7}} => [5,2,4,3,1,7,6] => [2,4,3,5,1,7,6] => [[1,3,5,6],[2,7],[4]] => 7
{{1,5},{2},{3,4},{6},{7}} => [5,2,4,3,1,6,7] => [2,4,3,5,1,6,7] => [[1,3,5,6,7],[2],[4]] => 4
{{1,6,7},{2,5},{3,4}} => [6,5,4,3,2,7,1] => [4,3,5,2,7,6,1] => [[1,5,6],[2,7],[3],[4]] => 8
{{1,6},{2,5,7},{3,4}} => [6,5,4,3,7,1,2] => [4,3,7,5,1,6,2] => [[1,2,6],[3,5],[4,7]] => 11
{{1,6},{2,5},{3,4,7}} => [6,5,4,7,2,1,3] => [7,4,2,5,1,6,3] => [[1,3,6],[2,5],[4],[7]] => 11
{{1,6},{2,5},{3,4},{7}} => [6,5,4,3,2,1,7] => [4,3,5,2,6,1,7] => [[1,5,6,7],[2],[3],[4]] => 6
{{1,7},{2,5,6},{3,4}} => [7,5,4,3,6,2,1] => [4,3,6,5,2,7,1] => [[1,5,7],[2,6],[3],[4]] => 7
{{1},{2,5,6,7},{3,4}} => [1,5,4,3,6,7,2] => [1,4,3,7,6,5,2] => [[1,2,5],[3,6],[4],[7]] => 14
{{1},{2,5,6},{3,4,7}} => [1,5,4,7,6,2,3] => [1,6,4,2,7,5,3] => [[1,2,3],[4,5],[6,7]] => 16
{{1},{2,5,6},{3,4},{7}} => [1,5,4,3,6,2,7] => [1,4,3,6,5,2,7] => [[1,2,5,7],[3,6],[4]] => 8
{{1,7},{2,5},{3,4,6}} => [7,5,4,6,2,3,1] => [6,4,2,5,3,7,1] => [[1,3,7],[2,5],[4],[6]] => 10
{{1},{2,5,7},{3,4,6}} => [1,5,4,6,7,3,2] => [1,7,4,3,6,5,2] => [[1,2,5],[3,6],[4],[7]] => 14
{{1},{2,5},{3,4,6,7}} => [1,5,4,6,2,7,3] => [1,7,6,4,2,5,3] => [[1,2,3],[4,5],[6],[7]] => 17
{{1},{2,5},{3,4,6},{7}} => [1,5,4,6,2,3,7] => [1,6,4,2,5,3,7] => [[1,2,3,7],[4,5],[6]] => 11
{{1,7},{2,5},{3,4},{6}} => [7,5,4,3,2,6,1] => [4,3,5,2,6,7,1] => [[1,5,6,7],[2],[3],[4]] => 6
{{1},{2,5,7},{3,4},{6}} => [1,5,4,3,7,6,2] => [1,4,3,6,7,5,2] => [[1,2,5,7],[3,6],[4]] => 8
{{1},{2,5},{3,4,7},{6}} => [1,5,4,7,2,6,3] => [1,6,7,4,2,5,3] => [[1,2,3],[4,5],[6,7]] => 16
{{1},{2,5},{3,4},{6,7}} => [1,5,4,3,2,7,6] => [1,4,3,5,2,7,6] => [[1,2,5,6],[3,7],[4]] => 9
{{1},{2,5},{3,4},{6},{7}} => [1,5,4,3,2,6,7] => [1,4,3,5,2,6,7] => [[1,2,5,6,7],[3],[4]] => 5
{{1,6,7},{2},{3,4,5}} => [6,2,4,5,3,7,1] => [2,5,4,3,7,6,1] => [[1,3,6],[2,7],[4],[5]] => 10
{{1,6},{2,7},{3,4,5}} => [6,7,4,5,3,1,2] => [5,4,3,7,1,6,2] => [[1,2],[3,6],[4,7],[5]] => 14
{{1,6},{2},{3,4,5,7}} => [6,2,4,5,7,1,3] => [2,7,5,4,1,6,3] => [[1,3,6],[2,4],[5],[7]] => 12
{{1,6},{2},{3,4,5},{7}} => [6,2,4,5,3,1,7] => [2,5,4,3,6,1,7] => [[1,3,6,7],[2],[4],[5]] => 8
{{1,7},{2,6},{3,4,5}} => [7,6,4,5,3,2,1] => [5,4,3,6,2,7,1] => [[1,6,7],[2],[3],[4],[5]] => 10
{{1},{2,6,7},{3,4,5}} => [1,6,4,5,3,7,2] => [1,5,4,3,7,6,2] => [[1,2,6],[3,7],[4],[5]] => 12
{{1},{2,6},{3,4,5,7}} => [1,6,4,5,7,2,3] => [1,7,5,4,2,6,3] => [[1,2,3],[4,6],[5],[7]] => 16
{{1},{2,6},{3,4,5},{7}} => [1,6,4,5,3,2,7] => [1,5,4,3,6,2,7] => [[1,2,6,7],[3],[4],[5]] => 9
{{1,7},{2},{3,4,5,6}} => [7,2,4,5,6,3,1] => [2,6,5,4,3,7,1] => [[1,3,7],[2],[4],[5],[6]] => 13
{{1},{2,7},{3,4,5,6}} => [1,7,4,5,6,3,2] => [1,6,5,4,3,7,2] => [[1,2,7],[3],[4],[5],[6]] => 14
{{1},{2},{3,4,5,6,7}} => [1,2,4,5,6,7,3] => [1,2,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7]] => 18
{{1},{2},{3,4,5,6},{7}} => [1,2,4,5,6,3,7] => [1,2,6,5,4,3,7] => [[1,2,3,7],[4],[5],[6]] => 12
{{1,7},{2},{3,4,5},{6}} => [7,2,4,5,3,6,1] => [2,5,4,3,6,7,1] => [[1,3,6,7],[2],[4],[5]] => 8
{{1},{2,7},{3,4,5},{6}} => [1,7,4,5,3,6,2] => [1,5,4,3,6,7,2] => [[1,2,6,7],[3],[4],[5]] => 9
{{1},{2},{3,4,5,7},{6}} => [1,2,4,5,7,6,3] => [1,2,6,7,5,4,3] => [[1,2,3,7],[4],[5],[6]] => 12
{{1},{2},{3,4,5},{6,7}} => [1,2,4,5,3,7,6] => [1,2,5,4,3,7,6] => [[1,2,3,6],[4,7],[5]] => 11
{{1},{2},{3,4,5},{6},{7}} => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => [[1,2,3,6,7],[4],[5]] => 7
{{1,6,7},{2},{3,4},{5}} => [6,2,4,3,5,7,1] => [2,4,3,5,7,6,1] => [[1,3,5,6],[2,7],[4]] => 7
{{1,6},{2,7},{3,4},{5}} => [6,7,4,3,5,1,2] => [4,3,5,7,1,6,2] => [[1,2,6],[3,5],[4,7]] => 11
{{1,6},{2},{3,4,7},{5}} => [6,2,4,7,5,1,3] => [2,5,7,4,1,6,3] => [[1,3,6],[2,4],[5,7]] => 11
{{1,6},{2},{3,4},{5,7}} => [6,2,4,3,7,1,5] => [2,4,3,7,1,6,5] => [[1,3,5],[2,6],[4,7]] => 9
{{1,6},{2},{3,4},{5},{7}} => [6,2,4,3,5,1,7] => [2,4,3,5,6,1,7] => [[1,3,5,6,7],[2],[4]] => 4
{{1,7},{2,6},{3,4},{5}} => [7,6,4,3,5,2,1] => [4,3,5,6,2,7,1] => [[1,5,6,7],[2],[3],[4]] => 6
{{1},{2,6,7},{3,4},{5}} => [1,6,4,3,5,7,2] => [1,4,3,5,7,6,2] => [[1,2,5,6],[3,7],[4]] => 9
{{1},{2,6},{3,4,7},{5}} => [1,6,4,7,5,2,3] => [1,5,7,4,2,6,3] => [[1,2,3],[4,6],[5,7]] => 14
{{1},{2,6},{3,4},{5,7}} => [1,6,4,3,7,2,5] => [1,4,3,7,2,6,5] => [[1,2,5],[3,6],[4,7]] => 12
{{1},{2,6},{3,4},{5},{7}} => [1,6,4,3,5,2,7] => [1,4,3,5,6,2,7] => [[1,2,5,6,7],[3],[4]] => 5
{{1,7},{2},{3,4,6},{5}} => [7,2,4,6,5,3,1] => [2,5,6,4,3,7,1] => [[1,3,6,7],[2],[4],[5]] => 8
{{1},{2,7},{3,4,6},{5}} => [1,7,4,6,5,3,2] => [1,5,6,4,3,7,2] => [[1,2,6,7],[3],[4],[5]] => 9
{{1},{2},{3,4,6,7},{5}} => [1,2,4,6,5,7,3] => [1,2,5,7,6,4,3] => [[1,2,3,6],[4],[5],[7]] => 13
{{1},{2},{3,4,6},{5,7}} => [1,2,4,6,7,3,5] => [1,2,7,4,3,6,5] => [[1,2,3,5],[4,6],[7]] => 13
{{1},{2},{3,4,6},{5},{7}} => [1,2,4,6,5,3,7] => [1,2,5,6,4,3,7] => [[1,2,3,6,7],[4],[5]] => 7
{{1,7},{2},{3,4},{5,6}} => [7,2,4,3,6,5,1] => [2,4,3,6,5,7,1] => [[1,3,5,7],[2,6],[4]] => 6
{{1},{2,7},{3,4},{5,6}} => [1,7,4,3,6,5,2] => [1,4,3,6,5,7,2] => [[1,2,5,7],[3,6],[4]] => 8
{{1},{2},{3,4,7},{5,6}} => [1,2,4,7,6,5,3] => [1,2,6,5,7,4,3] => [[1,2,3,7],[4],[5],[6]] => 12
{{1},{2},{3,4},{5,6,7}} => [1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] => [[1,2,3,5],[4,6],[7]] => 13
{{1},{2},{3,4},{5,6},{7}} => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [[1,2,3,5,7],[4,6]] => 7
{{1,7},{2},{3,4},{5},{6}} => [7,2,4,3,5,6,1] => [2,4,3,5,6,7,1] => [[1,3,5,6,7],[2],[4]] => 4
{{1},{2,7},{3,4},{5},{6}} => [1,7,4,3,5,6,2] => [1,4,3,5,6,7,2] => [[1,2,5,6,7],[3],[4]] => 5
{{1},{2},{3,4,7},{5},{6}} => [1,2,4,7,5,6,3] => [1,2,5,6,7,4,3] => [[1,2,3,6,7],[4],[5]] => 7
{{1},{2},{3,4},{5,7},{6}} => [1,2,4,3,7,6,5] => [1,2,4,3,6,7,5] => [[1,2,3,5,7],[4,6]] => 7
{{1},{2},{3,4},{5},{6,7}} => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [[1,2,3,5,6],[4,7]] => 8
{{1},{2},{3,4},{5},{6},{7}} => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [[1,2,3,5,6,7],[4]] => 3
{{1,5,6,7},{2},{3},{4}} => [5,2,3,4,6,7,1] => [2,3,4,7,6,5,1] => [[1,3,4,5],[2],[6],[7]] => 12
{{1,5,6},{2,7},{3},{4}} => [5,7,3,4,6,1,2] => [3,4,6,1,7,5,2] => [[1,2,5,7],[3,4],[6]] => 9
{{1,5,6},{2},{3,7},{4}} => [5,2,7,4,6,1,3] => [2,4,6,1,7,5,3] => [[1,3,5,7],[2,4],[6]] => 7
{{1,5,6},{2},{3},{4,7}} => [5,2,3,7,6,1,4] => [2,3,6,1,7,5,4] => [[1,3,4,7],[2,5],[6]] => 8
{{1,5,6},{2},{3},{4},{7}} => [5,2,3,4,6,1,7] => [2,3,4,6,5,1,7] => [[1,3,4,5,7],[2],[6]] => 6
{{1,5,7},{2,6},{3},{4}} => [5,6,3,4,7,2,1] => [3,4,7,2,6,5,1] => [[1,4,5],[2,6],[3],[7]] => 11
{{1,5},{2,6,7},{3},{4}} => [5,6,3,4,1,7,2] => [3,4,7,6,1,5,2] => [[1,2,5],[3,4],[6],[7]] => 15
{{1,5},{2,6},{3,7},{4}} => [5,6,7,4,1,2,3] => [4,7,1,6,2,5,3] => [[1,2,3],[4,5],[6],[7]] => 17
{{1,5},{2,6},{3},{4,7}} => [5,6,3,7,1,2,4] => [3,7,1,6,2,5,4] => [[1,2,4],[3,5],[6],[7]] => 16
{{1,5},{2,6},{3},{4},{7}} => [5,6,3,4,1,2,7] => [3,4,6,1,5,2,7] => [[1,2,5,7],[3,4],[6]] => 9
{{1,5,7},{2},{3,6},{4}} => [5,2,6,4,7,3,1] => [2,4,7,3,6,5,1] => [[1,3,5],[2,6],[4],[7]] => 12
{{1,5},{2,7},{3,6},{4}} => [5,7,6,4,1,3,2] => [4,6,1,7,3,5,2] => [[1,2,5],[3,6,7],[4]] => 11
{{1,5},{2},{3,6,7},{4}} => [5,2,6,4,1,7,3] => [2,4,7,6,1,5,3] => [[1,3,5],[2,4],[6],[7]] => 13
{{1,5},{2},{3,6},{4,7}} => [5,2,6,7,1,3,4] => [2,7,1,6,3,5,4] => [[1,3,4],[2,5],[6],[7]] => 14
{{1,5},{2},{3,6},{4},{7}} => [5,2,6,4,1,3,7] => [2,4,6,1,5,3,7] => [[1,3,5,7],[2,4],[6]] => 7
{{1,5,7},{2},{3},{4,6}} => [5,2,3,6,7,4,1] => [2,3,7,4,6,5,1] => [[1,3,4,5],[2],[6],[7]] => 12
{{1,5},{2,7},{3},{4,6}} => [5,7,3,6,1,4,2] => [3,6,1,7,4,5,2] => [[1,2,5],[3,4,7],[6]] => 10
{{1,5},{2},{3,7},{4,6}} => [5,2,7,6,1,4,3] => [2,6,1,7,4,5,3] => [[1,3,5],[2,4,7],[6]] => 8
{{1,5},{2},{3},{4,6,7}} => [5,2,3,6,1,7,4] => [2,3,7,6,1,5,4] => [[1,3,4],[2,5],[6],[7]] => 14
{{1,5},{2},{3},{4,6},{7}} => [5,2,3,6,1,4,7] => [2,3,6,1,5,4,7] => [[1,3,4,7],[2,5],[6]] => 8
{{1,5,7},{2},{3},{4},{6}} => [5,2,3,4,7,6,1] => [2,3,4,6,7,5,1] => [[1,3,4,5,7],[2],[6]] => 6
{{1,5},{2,7},{3},{4},{6}} => [5,7,3,4,1,6,2] => [3,4,6,7,1,5,2] => [[1,2,5,7],[3,4],[6]] => 9
{{1,5},{2},{3,7},{4},{6}} => [5,2,7,4,1,6,3] => [2,4,6,7,1,5,3] => [[1,3,5,7],[2,4],[6]] => 7
{{1,5},{2},{3},{4,7},{6}} => [5,2,3,7,1,6,4] => [2,3,6,7,1,5,4] => [[1,3,4,7],[2,5],[6]] => 8
{{1,5},{2},{3},{4},{6,7}} => [5,2,3,4,1,7,6] => [2,3,4,5,1,7,6] => [[1,3,4,5,6],[2,7]] => 5
{{1,5},{2},{3},{4},{6},{7}} => [5,2,3,4,1,6,7] => [2,3,4,5,1,6,7] => [[1,3,4,5,6,7],[2]] => 1
{{1,6,7},{2,5},{3},{4}} => [6,5,3,4,2,7,1] => [3,4,5,2,7,6,1] => [[1,4,5,6],[2,7],[3]] => 6
{{1,6},{2,5,7},{3},{4}} => [6,5,3,4,7,1,2] => [3,4,7,5,1,6,2] => [[1,2,5,6],[3,4],[7]] => 10
{{1,6},{2,5},{3,7},{4}} => [6,5,7,4,2,1,3] => [4,7,2,5,1,6,3] => [[1,3,6],[2,5],[4,7]] => 8
{{1,6},{2,5},{3},{4,7}} => [6,5,3,7,2,1,4] => [3,7,2,5,1,6,4] => [[1,4,6],[2,5],[3,7]] => 7
{{1,6},{2,5},{3},{4},{7}} => [6,5,3,4,2,1,7] => [3,4,5,2,6,1,7] => [[1,4,5,6,7],[2],[3]] => 3
{{1,7},{2,5,6},{3},{4}} => [7,5,3,4,6,2,1] => [3,4,6,5,2,7,1] => [[1,4,5,7],[2],[3],[6]] => 8
{{1},{2,5,6,7},{3},{4}} => [1,5,3,4,6,7,2] => [1,3,4,7,6,5,2] => [[1,2,4,5],[3],[6],[7]] => 13
{{1},{2,5,6},{3,7},{4}} => [1,5,7,4,6,2,3] => [1,4,6,2,7,5,3] => [[1,2,3,7],[4,5],[6]] => 11
{{1},{2,5,6},{3},{4,7}} => [1,5,3,7,6,2,4] => [1,3,6,2,7,5,4] => [[1,2,4,7],[3,5],[6]] => 10
{{1},{2,5,6},{3},{4},{7}} => [1,5,3,4,6,2,7] => [1,3,4,6,5,2,7] => [[1,2,4,5,7],[3],[6]] => 7
{{1,7},{2,5},{3,6},{4}} => [7,5,6,4,2,3,1] => [4,6,2,5,3,7,1] => [[1,3,7],[2,5],[4],[6]] => 10
{{1},{2,5,7},{3,6},{4}} => [1,5,6,4,7,3,2] => [1,4,7,3,6,5,2] => [[1,2,5],[3,6],[4],[7]] => 14
{{1},{2,5},{3,6,7},{4}} => [1,5,6,4,2,7,3] => [1,4,7,6,2,5,3] => [[1,2,3],[4,5],[6],[7]] => 17
{{1},{2,5},{3,6},{4,7}} => [1,5,6,7,2,3,4] => [1,7,2,6,3,5,4] => [[1,2,3,4],[5],[6],[7]] => 15
{{1},{2,5},{3,6},{4},{7}} => [1,5,6,4,2,3,7] => [1,4,6,2,5,3,7] => [[1,2,3,7],[4,5],[6]] => 11
{{1,7},{2,5},{3},{4,6}} => [7,5,3,6,2,4,1] => [3,6,2,5,4,7,1] => [[1,4,7],[2,5],[3],[6]] => 9
{{1},{2,5,7},{3},{4,6}} => [1,5,3,6,7,4,2] => [1,3,7,4,6,5,2] => [[1,2,4,5],[3],[6],[7]] => 13
{{1},{2,5},{3,7},{4,6}} => [1,5,7,6,2,4,3] => [1,6,2,7,4,5,3] => [[1,2,3,5],[4,7],[6]] => 12
{{1},{2,5},{3},{4,6,7}} => [1,5,3,6,2,7,4] => [1,3,7,6,2,5,4] => [[1,2,4],[3,5],[6],[7]] => 16
{{1},{2,5},{3},{4,6},{7}} => [1,5,3,6,2,4,7] => [1,3,6,2,5,4,7] => [[1,2,4,7],[3,5],[6]] => 10
{{1,7},{2,5},{3},{4},{6}} => [7,5,3,4,2,6,1] => [3,4,5,2,6,7,1] => [[1,4,5,6,7],[2],[3]] => 3
{{1},{2,5,7},{3},{4},{6}} => [1,5,3,4,7,6,2] => [1,3,4,6,7,5,2] => [[1,2,4,5,7],[3],[6]] => 7
{{1},{2,5},{3,7},{4},{6}} => [1,5,7,4,2,6,3] => [1,4,6,7,2,5,3] => [[1,2,3,7],[4,5],[6]] => 11
{{1},{2,5},{3},{4,7},{6}} => [1,5,3,7,2,6,4] => [1,3,6,7,2,5,4] => [[1,2,4,7],[3,5],[6]] => 10
{{1},{2,5},{3},{4},{6,7}} => [1,5,3,4,2,7,6] => [1,3,4,5,2,7,6] => [[1,2,4,5,6],[3,7]] => 7
{{1},{2,5},{3},{4},{6},{7}} => [1,5,3,4,2,6,7] => [1,3,4,5,2,6,7] => [[1,2,4,5,6,7],[3]] => 2
{{1,6,7},{2},{3,5},{4}} => [6,2,5,4,3,7,1] => [2,4,5,3,7,6,1] => [[1,3,5,6],[2,7],[4]] => 7
{{1,6},{2,7},{3,5},{4}} => [6,7,5,4,3,1,2] => [4,5,3,7,1,6,2] => [[1,2,6],[3,5],[4,7]] => 11
{{1,6},{2},{3,5,7},{4}} => [6,2,5,4,7,1,3] => [2,4,7,5,1,6,3] => [[1,3,5,6],[2,4],[7]] => 8
{{1,6},{2},{3,5},{4,7}} => [6,2,5,7,3,1,4] => [2,7,3,5,1,6,4] => [[1,3,4,6],[2,5],[7]] => 9
{{1,6},{2},{3,5},{4},{7}} => [6,2,5,4,3,1,7] => [2,4,5,3,6,1,7] => [[1,3,5,6,7],[2],[4]] => 4
{{1,7},{2,6},{3,5},{4}} => [7,6,5,4,3,2,1] => [4,5,3,6,2,7,1] => [[1,5,6,7],[2],[3],[4]] => 6
{{1},{2,6,7},{3,5},{4}} => [1,6,5,4,3,7,2] => [1,4,5,3,7,6,2] => [[1,2,5,6],[3,7],[4]] => 9
{{1},{2,6},{3,5,7},{4}} => [1,6,5,4,7,2,3] => [1,4,7,5,2,6,3] => [[1,2,3,6],[4,5],[7]] => 12
{{1},{2,6},{3,5},{4,7}} => [1,6,5,7,3,2,4] => [1,7,3,5,2,6,4] => [[1,2,4,6],[3,5],[7]] => 11
{{1},{2,6},{3,5},{4},{7}} => [1,6,5,4,3,2,7] => [1,4,5,3,6,2,7] => [[1,2,5,6,7],[3],[4]] => 5
{{1,7},{2},{3,5,6},{4}} => [7,2,5,4,6,3,1] => [2,4,6,5,3,7,1] => [[1,3,5,7],[2],[4],[6]] => 9
{{1},{2,7},{3,5,6},{4}} => [1,7,5,4,6,3,2] => [1,4,6,5,3,7,2] => [[1,2,5,7],[3],[4],[6]] => 10
{{1},{2},{3,5,6,7},{4}} => [1,2,5,4,6,7,3] => [1,2,4,7,6,5,3] => [[1,2,3,5],[4],[6],[7]] => 14
{{1},{2},{3,5,6},{4,7}} => [1,2,5,7,6,3,4] => [1,2,6,3,7,5,4] => [[1,2,3,4],[5,7],[6]] => 13
{{1},{2},{3,5,6},{4},{7}} => [1,2,5,4,6,3,7] => [1,2,4,6,5,3,7] => [[1,2,3,5,7],[4],[6]] => 8
{{1,7},{2},{3,5},{4,6}} => [7,2,5,6,3,4,1] => [2,6,3,5,4,7,1] => [[1,3,4,7],[2],[5],[6]] => 10
{{1},{2,7},{3,5},{4,6}} => [1,7,5,6,3,4,2] => [1,6,3,5,4,7,2] => [[1,2,4,7],[3],[5],[6]] => 11
{{1},{2},{3,5,7},{4,6}} => [1,2,5,6,7,4,3] => [1,2,7,4,6,5,3] => [[1,2,3,5],[4],[6],[7]] => 14
{{1},{2},{3,5},{4,6,7}} => [1,2,5,6,3,7,4] => [1,2,7,6,3,5,4] => [[1,2,3,4],[5],[6],[7]] => 15
{{1},{2},{3,5},{4,6},{7}} => [1,2,5,6,3,4,7] => [1,2,6,3,5,4,7] => [[1,2,3,4,7],[5],[6]] => 9
{{1,7},{2},{3,5},{4},{6}} => [7,2,5,4,3,6,1] => [2,4,5,3,6,7,1] => [[1,3,5,6,7],[2],[4]] => 4
{{1},{2,7},{3,5},{4},{6}} => [1,7,5,4,3,6,2] => [1,4,5,3,6,7,2] => [[1,2,5,6,7],[3],[4]] => 5
{{1},{2},{3,5,7},{4},{6}} => [1,2,5,4,7,6,3] => [1,2,4,6,7,5,3] => [[1,2,3,5,7],[4],[6]] => 8
{{1},{2},{3,5},{4,7},{6}} => [1,2,5,7,3,6,4] => [1,2,6,7,3,5,4] => [[1,2,3,4],[5,7],[6]] => 13
{{1},{2},{3,5},{4},{6,7}} => [1,2,5,4,3,7,6] => [1,2,4,5,3,7,6] => [[1,2,3,5,6],[4,7]] => 8
{{1},{2},{3,5},{4},{6},{7}} => [1,2,5,4,3,6,7] => [1,2,4,5,3,6,7] => [[1,2,3,5,6,7],[4]] => 3
{{1,6,7},{2},{3},{4,5}} => [6,2,3,5,4,7,1] => [2,3,5,4,7,6,1] => [[1,3,4,6],[2,7],[5]] => 8
{{1,6},{2,7},{3},{4,5}} => [6,7,3,5,4,1,2] => [3,5,4,7,1,6,2] => [[1,2,6],[3,4],[5,7]] => 13
{{1,6},{2},{3,7},{4,5}} => [6,2,7,5,4,1,3] => [2,5,4,7,1,6,3] => [[1,3,6],[2,4],[5,7]] => 11
{{1,6},{2},{3},{4,5,7}} => [6,2,3,5,7,1,4] => [2,3,7,5,1,6,4] => [[1,3,4,6],[2,5],[7]] => 9
{{1,6},{2},{3},{4,5},{7}} => [6,2,3,5,4,1,7] => [2,3,5,4,6,1,7] => [[1,3,4,6,7],[2],[5]] => 5
{{1,7},{2,6},{3},{4,5}} => [7,6,3,5,4,2,1] => [3,5,4,6,2,7,1] => [[1,4,6,7],[2],[3],[5]] => 7
{{1},{2,6,7},{3},{4,5}} => [1,6,3,5,4,7,2] => [1,3,5,4,7,6,2] => [[1,2,4,6],[3,7],[5]] => 10
{{1},{2,6},{3,7},{4,5}} => [1,6,7,5,4,2,3] => [1,5,4,7,2,6,3] => [[1,2,3],[4,6],[5,7]] => 14
{{1},{2,6},{3},{4,5,7}} => [1,6,3,5,7,2,4] => [1,3,7,5,2,6,4] => [[1,2,4,6],[3,5],[7]] => 11
{{1},{2,6},{3},{4,5},{7}} => [1,6,3,5,4,2,7] => [1,3,5,4,6,2,7] => [[1,2,4,6,7],[3],[5]] => 6
{{1,7},{2},{3,6},{4,5}} => [7,2,6,5,4,3,1] => [2,5,4,6,3,7,1] => [[1,3,6,7],[2],[4],[5]] => 8
{{1},{2,7},{3,6},{4,5}} => [1,7,6,5,4,3,2] => [1,5,4,6,3,7,2] => [[1,2,6,7],[3],[4],[5]] => 9
{{1},{2},{3,6,7},{4,5}} => [1,2,6,5,4,7,3] => [1,2,5,4,7,6,3] => [[1,2,3,6],[4,7],[5]] => 11
{{1},{2},{3,6},{4,5,7}} => [1,2,6,5,7,3,4] => [1,2,7,5,3,6,4] => [[1,2,3,4],[5,6],[7]] => 14
{{1},{2},{3,6},{4,5},{7}} => [1,2,6,5,4,3,7] => [1,2,5,4,6,3,7] => [[1,2,3,6,7],[4],[5]] => 7
{{1,7},{2},{3},{4,5,6}} => [7,2,3,5,6,4,1] => [2,3,6,5,4,7,1] => [[1,3,4,7],[2],[5],[6]] => 10
{{1},{2,7},{3},{4,5,6}} => [1,7,3,5,6,4,2] => [1,3,6,5,4,7,2] => [[1,2,4,7],[3],[5],[6]] => 11
{{1},{2},{3,7},{4,5,6}} => [1,2,7,5,6,4,3] => [1,2,6,5,4,7,3] => [[1,2,3,7],[4],[5],[6]] => 12
{{1},{2},{3},{4,5,6,7}} => [1,2,3,5,6,7,4] => [1,2,3,7,6,5,4] => [[1,2,3,4],[5],[6],[7]] => 15
{{1},{2},{3},{4,5,6},{7}} => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => [[1,2,3,4,7],[5],[6]] => 9
{{1,7},{2},{3},{4,5},{6}} => [7,2,3,5,4,6,1] => [2,3,5,4,6,7,1] => [[1,3,4,6,7],[2],[5]] => 5
{{1},{2,7},{3},{4,5},{6}} => [1,7,3,5,4,6,2] => [1,3,5,4,6,7,2] => [[1,2,4,6,7],[3],[5]] => 6
{{1},{2},{3,7},{4,5},{6}} => [1,2,7,5,4,6,3] => [1,2,5,4,6,7,3] => [[1,2,3,6,7],[4],[5]] => 7
{{1},{2},{3},{4,5,7},{6}} => [1,2,3,5,7,6,4] => [1,2,3,6,7,5,4] => [[1,2,3,4,7],[5],[6]] => 9
{{1},{2},{3},{4,5},{6,7}} => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [[1,2,3,4,6],[5,7]] => 9
{{1},{2},{3},{4,5},{6},{7}} => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [[1,2,3,4,6,7],[5]] => 4
{{1,6,7},{2},{3},{4},{5}} => [6,2,3,4,5,7,1] => [2,3,4,5,7,6,1] => [[1,3,4,5,6],[2],[7]] => 7
{{1,6},{2,7},{3},{4},{5}} => [6,7,3,4,5,1,2] => [3,4,5,7,1,6,2] => [[1,2,5,6],[3,4],[7]] => 10
{{1,6},{2},{3,7},{4},{5}} => [6,2,7,4,5,1,3] => [2,4,5,7,1,6,3] => [[1,3,5,6],[2,4],[7]] => 8
{{1,6},{2},{3},{4,7},{5}} => [6,2,3,7,5,1,4] => [2,3,5,7,1,6,4] => [[1,3,4,6],[2,5],[7]] => 9
{{1,6},{2},{3},{4},{5,7}} => [6,2,3,4,7,1,5] => [2,3,4,7,1,6,5] => [[1,3,4,5],[2,6],[7]] => 10
{{1,6},{2},{3},{4},{5},{7}} => [6,2,3,4,5,1,7] => [2,3,4,5,6,1,7] => [[1,3,4,5,6,7],[2]] => 1
{{1,7},{2,6},{3},{4},{5}} => [7,6,3,4,5,2,1] => [3,4,5,6,2,7,1] => [[1,4,5,6,7],[2],[3]] => 3
{{1},{2,6,7},{3},{4},{5}} => [1,6,3,4,5,7,2] => [1,3,4,5,7,6,2] => [[1,2,4,5,6],[3],[7]] => 8
{{1},{2,6},{3,7},{4},{5}} => [1,6,7,4,5,2,3] => [1,4,5,7,2,6,3] => [[1,2,3,6],[4,5],[7]] => 12
{{1},{2,6},{3},{4,7},{5}} => [1,6,3,7,5,2,4] => [1,3,5,7,2,6,4] => [[1,2,4,6],[3,5],[7]] => 11
{{1},{2,6},{3},{4},{5,7}} => [1,6,3,4,7,2,5] => [1,3,4,7,2,6,5] => [[1,2,4,5],[3,6],[7]] => 12
{{1},{2,6},{3},{4},{5},{7}} => [1,6,3,4,5,2,7] => [1,3,4,5,6,2,7] => [[1,2,4,5,6,7],[3]] => 2
{{1,7},{2},{3,6},{4},{5}} => [7,2,6,4,5,3,1] => [2,4,5,6,3,7,1] => [[1,3,5,6,7],[2],[4]] => 4
{{1},{2,7},{3,6},{4},{5}} => [1,7,6,4,5,3,2] => [1,4,5,6,3,7,2] => [[1,2,5,6,7],[3],[4]] => 5
{{1},{2},{3,6,7},{4},{5}} => [1,2,6,4,5,7,3] => [1,2,4,5,7,6,3] => [[1,2,3,5,6],[4],[7]] => 9
{{1},{2},{3,6},{4,7},{5}} => [1,2,6,7,5,3,4] => [1,2,5,7,3,6,4] => [[1,2,3,4],[5,6],[7]] => 14
{{1},{2},{3,6},{4},{5,7}} => [1,2,6,4,7,3,5] => [1,2,4,7,3,6,5] => [[1,2,3,5],[4,6],[7]] => 13
{{1},{2},{3,6},{4},{5},{7}} => [1,2,6,4,5,3,7] => [1,2,4,5,6,3,7] => [[1,2,3,5,6,7],[4]] => 3
{{1,7},{2},{3},{4,6},{5}} => [7,2,3,6,5,4,1] => [2,3,5,6,4,7,1] => [[1,3,4,6,7],[2],[5]] => 5
{{1},{2,7},{3},{4,6},{5}} => [1,7,3,6,5,4,2] => [1,3,5,6,4,7,2] => [[1,2,4,6,7],[3],[5]] => 6
{{1},{2},{3,7},{4,6},{5}} => [1,2,7,6,5,4,3] => [1,2,5,6,4,7,3] => [[1,2,3,6,7],[4],[5]] => 7
{{1},{2},{3},{4,6,7},{5}} => [1,2,3,6,5,7,4] => [1,2,3,5,7,6,4] => [[1,2,3,4,6],[5],[7]] => 10
{{1},{2},{3},{4,6},{5,7}} => [1,2,3,6,7,4,5] => [1,2,3,7,4,6,5] => [[1,2,3,4,5],[6],[7]] => 11
{{1},{2},{3},{4,6},{5},{7}} => [1,2,3,6,5,4,7] => [1,2,3,5,6,4,7] => [[1,2,3,4,6,7],[5]] => 4
{{1,7},{2},{3},{4},{5,6}} => [7,2,3,4,6,5,1] => [2,3,4,6,5,7,1] => [[1,3,4,5,7],[2],[6]] => 6
{{1},{2,7},{3},{4},{5,6}} => [1,7,3,4,6,5,2] => [1,3,4,6,5,7,2] => [[1,2,4,5,7],[3],[6]] => 7
{{1},{2},{3,7},{4},{5,6}} => [1,2,7,4,6,5,3] => [1,2,4,6,5,7,3] => [[1,2,3,5,7],[4],[6]] => 8
{{1},{2},{3},{4,7},{5,6}} => [1,2,3,7,6,5,4] => [1,2,3,6,5,7,4] => [[1,2,3,4,7],[5],[6]] => 9
{{1},{2},{3},{4},{5,6,7}} => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => [[1,2,3,4,5],[6],[7]] => 11
{{1},{2},{3},{4},{5,6},{7}} => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [[1,2,3,4,5,7],[6]] => 5
{{1,7},{2},{3},{4},{5},{6}} => [7,2,3,4,5,6,1] => [2,3,4,5,6,7,1] => [[1,3,4,5,6,7],[2]] => 1
{{1},{2,7},{3},{4},{5},{6}} => [1,7,3,4,5,6,2] => [1,3,4,5,6,7,2] => [[1,2,4,5,6,7],[3]] => 2
{{1},{2},{3,7},{4},{5},{6}} => [1,2,7,4,5,6,3] => [1,2,4,5,6,7,3] => [[1,2,3,5,6,7],[4]] => 3
{{1},{2},{3},{4,7},{5},{6}} => [1,2,3,7,5,6,4] => [1,2,3,5,6,7,4] => [[1,2,3,4,6,7],[5]] => 4
{{1},{2},{3},{4},{5,7},{6}} => [1,2,3,4,7,6,5] => [1,2,3,4,6,7,5] => [[1,2,3,4,5,7],[6]] => 5
{{1},{2},{3},{4},{5},{6,7}} => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [[1,2,3,4,5,6],[7]] => 6
{{1},{2},{3},{4},{5},{6},{7}} => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [[1,2,3,4,5,6,7]] => 0
{{1,2},{3,4},{5,6},{7,8}} => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7] => [[1,3,5,7],[2,4,6,8]] => 4
{{1,3},{2,4},{5,6},{7,8}} => [3,4,1,2,6,5,8,7] => [4,1,3,2,6,5,8,7] => [[1,2,5,7],[3,6,8],[4]] => 12
{{1,4},{2,3},{5,6},{7,8}} => [4,3,2,1,6,5,8,7] => [3,2,4,1,6,5,8,7] => [[1,4,5,7],[2,6,8],[3]] => 8
{{1,5},{2,3},{4,6},{7,8}} => [5,3,2,6,1,4,8,7] => [3,2,6,1,5,4,8,7] => [[1,4,7],[2,5,8],[3,6]] => 7
{{1,6},{2,3},{4,5},{7,8}} => [6,3,2,5,4,1,8,7] => [3,2,5,4,6,1,8,7] => [[1,4,6,7],[2,5,8],[3]] => 6
{{1,7},{2,3},{4,5},{6,8}} => [7,3,2,5,4,8,1,6] => [3,2,5,4,8,1,7,6] => [[1,4,6],[2,5,7],[3,8]] => 9
{{1,8},{2,3},{4,5},{6,7}} => [8,3,2,5,4,7,6,1] => [3,2,5,4,7,6,8,1] => [[1,4,6,8],[2,5,7],[3]] => 5
{{1,8},{2,4},{3,5},{6,7}} => [8,4,5,2,3,7,6,1] => [5,2,4,3,7,6,8,1] => [[1,3,6,8],[2,7],[4],[5]] => 10
{{1,7},{2,4},{3,5},{6,8}} => [7,4,5,2,3,8,1,6] => [5,2,4,3,8,1,7,6] => [[1,3,6],[2,7],[4,8],[5]] => 13
{{1,6},{2,4},{3,5},{7,8}} => [6,4,5,2,3,1,8,7] => [5,2,4,3,6,1,8,7] => [[1,3,6,7],[2,8],[4],[5]] => 11
{{1,5},{2,4},{3,6},{7,8}} => [5,4,6,2,1,3,8,7] => [6,2,4,1,5,3,8,7] => [[1,3,5,7],[2,4,8],[6]] => 9
{{1,4},{2,5},{3,6},{7,8}} => [4,5,6,1,2,3,8,7] => [6,1,5,2,4,3,8,7] => [[1,2,3,7],[4,8],[5],[6]] => 16
{{1,3},{2,5},{4,6},{7,8}} => [3,5,1,6,2,4,8,7] => [6,1,3,2,5,4,8,7] => [[1,2,4,7],[3,5,8],[6]] => 14
{{1,2},{3,5},{4,6},{7,8}} => [2,1,5,6,3,4,8,7] => [2,1,6,3,5,4,8,7] => [[1,3,4,7],[2,5,8],[6]] => 11
{{1,2},{3,6},{4,5},{7,8}} => [2,1,6,5,4,3,8,7] => [2,1,5,4,6,3,8,7] => [[1,3,6,7],[2,4,8],[5]] => 8
{{1,3},{2,6},{4,5},{7,8}} => [3,6,1,5,4,2,8,7] => [5,4,6,1,3,2,8,7] => [[1,2,7],[3,6,8],[4],[5]] => 12
{{1,4},{2,6},{3,5},{7,8}} => [4,6,5,1,3,2,8,7] => [5,1,6,3,4,2,8,7] => [[1,2,4,7],[3,6,8],[5]] => 13
{{1,5},{2,6},{3,4},{7,8}} => [5,6,4,3,1,2,8,7] => [4,3,6,1,5,2,8,7] => [[1,2,7],[3,5,8],[4,6]] => 11
{{1,6},{2,5},{3,4},{7,8}} => [6,5,4,3,2,1,8,7] => [4,3,5,2,6,1,8,7] => [[1,5,6,7],[2,8],[3],[4]] => 9
{{1,7},{2,5},{3,4},{6,8}} => [7,5,4,3,2,8,1,6] => [4,3,5,2,8,1,7,6] => [[1,5,6],[2,7],[3,8],[4]] => 11
{{1,8},{2,5},{3,4},{6,7}} => [8,5,4,3,2,7,6,1] => [4,3,5,2,7,6,8,1] => [[1,5,6,8],[2,7],[3],[4]] => 8
{{1,8},{2,6},{3,4},{5,7}} => [8,6,4,3,7,2,5,1] => [4,3,7,2,6,5,8,1] => [[1,5,8],[2,6],[3,7],[4]] => 9
{{1,7},{2,6},{3,4},{5,8}} => [7,6,4,3,8,2,1,5] => [4,3,8,2,6,1,7,5] => [[1,5,7],[2,6],[3,8],[4]] => 10
{{1,6},{2,7},{3,4},{5,8}} => [6,7,4,3,8,1,2,5] => [4,3,8,1,7,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => 19
{{1,5},{2,7},{3,4},{6,8}} => [5,7,4,3,1,8,2,6] => [4,3,8,1,5,2,7,6] => [[1,2,6],[3,5,7],[4,8]] => 13
{{1,4},{2,7},{3,5},{6,8}} => [4,7,5,1,3,8,2,6] => [5,1,8,3,4,2,7,6] => [[1,2,4,6],[3,7],[5,8]] => 15
{{1,3},{2,7},{4,5},{6,8}} => [3,7,1,5,4,8,2,6] => [5,4,8,1,3,2,7,6] => [[1,2,6],[3,7],[4,8],[5]] => 16
{{1,2},{3,7},{4,5},{6,8}} => [2,1,7,5,4,8,3,6] => [2,1,5,4,8,3,7,6] => [[1,3,6],[2,4,7],[5,8]] => 13
{{1,2},{3,8},{4,5},{6,7}} => [2,1,8,5,4,7,6,3] => [2,1,5,4,7,6,8,3] => [[1,3,6,8],[2,4,7],[5]] => 7
{{1,3},{2,8},{4,5},{6,7}} => [3,8,1,5,4,7,6,2] => [5,4,7,6,8,1,3,2] => [[1,2,8],[3,6],[4,7],[5]] => 14
{{1,4},{2,8},{3,5},{6,7}} => [4,8,5,1,3,7,6,2] => [5,1,7,6,8,3,4,2] => [[1,2,4],[3,6,8],[5],[7]] => 18
{{1,5},{2,8},{3,4},{6,7}} => [5,8,4,3,1,7,6,2] => [4,3,7,6,8,1,5,2] => [[1,2,8],[3,5],[4,6],[7]] => 16
{{1,6},{2,8},{3,4},{5,7}} => [6,8,4,3,7,1,5,2] => [4,3,7,1,8,5,6,2] => [[1,2,6],[3,5,8],[4,7]] => 12
{{1,7},{2,8},{3,4},{5,6}} => [7,8,4,3,6,5,1,2] => [4,3,6,5,8,1,7,2] => [[1,2,7],[3,5,8],[4,6]] => 11
{{1,8},{2,7},{3,4},{5,6}} => [8,7,4,3,6,5,2,1] => [4,3,6,5,7,2,8,1] => [[1,5,7,8],[2,6],[3],[4]] => 7
{{1,8},{2,7},{3,5},{4,6}} => [8,7,5,6,3,4,2,1] => [6,3,5,4,7,2,8,1] => [[1,4,7,8],[2],[3],[5],[6]] => 12
{{1,7},{2,8},{3,5},{4,6}} => [7,8,5,6,3,4,1,2] => [6,3,5,4,8,1,7,2] => [[1,2,7],[3,4],[5,8],[6]] => 18
{{1,6},{2,8},{3,5},{4,7}} => [6,8,5,7,3,1,4,2] => [7,3,5,1,8,4,6,2] => [[1,2,6],[3,4,8],[5],[7]] => 15
{{1,5},{2,8},{3,6},{4,7}} => [5,8,6,7,1,3,4,2] => [7,1,6,3,8,4,5,2] => [[1,2,4,5],[3,8],[6],[7]] => 17
{{1,4},{2,8},{3,6},{5,7}} => [4,8,6,1,7,3,5,2] => [7,1,6,5,8,3,4,2] => [[1,2,4],[3,8],[5],[6],[7]] => 20
{{1,3},{2,8},{4,6},{5,7}} => [3,8,1,6,7,4,5,2] => [7,4,6,5,8,1,3,2] => [[1,2,8],[3,5],[4],[6],[7]] => 18
{{1,2},{3,8},{4,6},{5,7}} => [2,1,8,6,7,4,5,3] => [2,1,7,4,6,5,8,3] => [[1,3,5,8],[2,4],[6],[7]] => 13
{{1,2},{3,7},{4,6},{5,8}} => [2,1,7,6,8,4,3,5] => [2,1,8,4,6,3,7,5] => [[1,3,5,7],[2,4,6],[8]] => 10
{{1,3},{2,7},{4,6},{5,8}} => [3,7,1,6,8,4,2,5] => [8,4,6,1,3,2,7,5] => [[1,2,5],[3,6,7],[4],[8]] => 18
{{1,4},{2,7},{3,6},{5,8}} => [4,7,6,1,8,3,2,5] => [8,1,6,3,4,2,7,5] => [[1,2,4,5],[3,7],[6],[8]] => 18
{{1,5},{2,7},{3,6},{4,8}} => [5,7,6,8,1,3,2,4] => [8,1,6,3,7,2,5,4] => [[1,2,4],[3,5],[6,7],[8]] => 22
{{1,6},{2,7},{3,5},{4,8}} => [6,7,5,8,3,1,2,4] => [8,3,5,1,7,2,6,4] => [[1,2,4],[3,5,6],[7],[8]] => 21
{{1,7},{2,6},{3,5},{4,8}} => [7,6,5,8,3,2,1,4] => [8,3,5,2,6,1,7,4] => [[1,4,6,7],[2,5],[3],[8]] => 11
{{1,8},{2,6},{3,5},{4,7}} => [8,6,5,7,3,2,4,1] => [7,3,5,2,6,4,8,1] => [[1,4,6,8],[2,5],[3],[7]] => 10
{{1,8},{2,5},{3,6},{4,7}} => [8,5,6,7,2,3,4,1] => [7,2,6,3,5,4,8,1] => [[1,3,4,8],[2],[5],[6],[7]] => 16
{{1,7},{2,5},{3,6},{4,8}} => [7,5,6,8,2,3,1,4] => [8,2,6,3,5,1,7,4] => [[1,3,4,7],[2,5],[6],[8]] => 15
{{1,6},{2,5},{3,7},{4,8}} => [6,5,7,8,2,1,3,4] => [8,2,7,1,5,3,6,4] => [[1,3,4],[2,5,6],[7],[8]] => 18
{{1,5},{2,6},{3,7},{4,8}} => [5,6,7,8,1,2,3,4] => [8,1,7,2,6,3,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => 22
{{1,4},{2,6},{3,7},{5,8}} => [4,6,7,1,8,2,3,5] => [8,1,7,2,4,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => 20
{{1,3},{2,6},{4,7},{5,8}} => [3,6,1,7,8,2,4,5] => [8,1,3,2,7,4,6,5] => [[1,2,4,5],[3,6],[7],[8]] => 19
{{1,2},{3,6},{4,7},{5,8}} => [2,1,6,7,8,3,4,5] => [2,1,8,3,7,4,6,5] => [[1,3,4,5],[2,6],[7],[8]] => 17
{{1,2},{3,5},{4,7},{6,8}} => [2,1,5,7,3,8,4,6] => [2,1,8,3,5,4,7,6] => [[1,3,4,6],[2,5,7],[8]] => 13
{{1,3},{2,5},{4,7},{6,8}} => [3,5,1,7,2,8,4,6] => [8,1,3,2,5,4,7,6] => [[1,2,4,6],[3,5,7],[8]] => 16
{{1,4},{2,5},{3,7},{6,8}} => [4,5,7,1,2,8,3,6] => [8,1,5,2,4,3,7,6] => [[1,2,3,6],[4,7],[5],[8]] => 18
{{1,5},{2,4},{3,7},{6,8}} => [5,4,7,2,1,8,3,6] => [8,2,4,1,5,3,7,6] => [[1,3,5,6],[2,4,7],[8]] => 11
{{1,6},{2,4},{3,7},{5,8}} => [6,4,7,2,8,1,3,5] => [8,2,4,1,7,3,6,5] => [[1,3,5],[2,4,6],[7],[8]] => 16
{{1,7},{2,4},{3,6},{5,8}} => [7,4,6,2,8,3,1,5] => [8,2,4,3,6,1,7,5] => [[1,3,5,7],[2,6],[4],[8]] => 13
{{1,8},{2,4},{3,6},{5,7}} => [8,4,6,2,7,3,5,1] => [7,2,4,3,6,5,8,1] => [[1,3,5,8],[2,6],[4],[7]] => 12
{{1,8},{2,3},{4,6},{5,7}} => [8,3,2,6,7,4,5,1] => [3,2,7,4,6,5,8,1] => [[1,4,5,8],[2,6],[3],[7]] => 11
{{1,7},{2,3},{4,6},{5,8}} => [7,3,2,6,8,4,1,5] => [3,2,8,4,6,1,7,5] => [[1,4,5,7],[2,6],[3,8]] => 9
{{1,6},{2,3},{4,7},{5,8}} => [6,3,2,7,8,1,4,5] => [3,2,8,1,7,4,6,5] => [[1,4,5],[2,6],[3,7],[8]] => 15
{{1,5},{2,3},{4,7},{6,8}} => [5,3,2,7,1,8,4,6] => [3,2,8,1,5,4,7,6] => [[1,4,6],[2,5,7],[3,8]] => 9
{{1,4},{2,3},{5,7},{6,8}} => [4,3,2,1,7,8,5,6] => [3,2,4,1,8,5,7,6] => [[1,4,5,6],[2,7],[3,8]] => 10
{{1,3},{2,4},{5,7},{6,8}} => [3,4,1,2,7,8,5,6] => [4,1,3,2,8,5,7,6] => [[1,2,5,6],[3,7],[4,8]] => 14
{{1,2},{3,4},{5,7},{6,8}} => [2,1,4,3,7,8,5,6] => [2,1,4,3,8,5,7,6] => [[1,3,5,6],[2,4,7],[8]] => 11
{{1,2},{3,4},{5,8},{6,7}} => [2,1,4,3,8,7,6,5] => [2,1,4,3,7,6,8,5] => [[1,3,5,8],[2,4,6],[7]] => 9
{{1,3},{2,4},{5,8},{6,7}} => [3,4,1,2,8,7,6,5] => [4,1,3,2,7,6,8,5] => [[1,2,5,8],[3,6],[4,7]] => 12
{{1,4},{2,3},{5,8},{6,7}} => [4,3,2,1,8,7,6,5] => [3,2,4,1,7,6,8,5] => [[1,4,5,8],[2,6],[3,7]] => 8
{{1,5},{2,3},{4,8},{6,7}} => [5,3,2,8,1,7,6,4] => [3,2,7,6,8,1,5,4] => [[1,4,8],[2,5],[3,6],[7]] => 12
{{1,6},{2,3},{4,8},{5,7}} => [6,3,2,8,7,1,5,4] => [3,2,7,1,8,5,6,4] => [[1,4,6],[2,5,8],[3,7]] => 8
{{1,7},{2,3},{4,8},{5,6}} => [7,3,2,8,6,5,1,4] => [3,2,6,5,8,1,7,4] => [[1,4,7],[2,5,8],[3,6]] => 7
{{1,8},{2,3},{4,7},{5,6}} => [8,3,2,7,6,5,4,1] => [3,2,6,5,7,4,8,1] => [[1,4,7,8],[2,5],[3],[6]] => 9
{{1,8},{2,4},{3,7},{5,6}} => [8,4,7,2,6,5,3,1] => [6,5,7,2,4,3,8,1] => [[1,3,8],[2,7],[4],[5],[6]] => 14
{{1,7},{2,4},{3,8},{5,6}} => [7,4,8,2,6,5,1,3] => [6,5,8,2,4,1,7,3] => [[1,3,7],[2,4],[5,8],[6]] => 16
{{1,6},{2,4},{3,8},{5,7}} => [6,4,8,2,7,1,5,3] => [7,2,4,1,8,5,6,3] => [[1,3,5,6],[2,4],[7,8]] => 14
{{1,5},{2,4},{3,8},{6,7}} => [5,4,8,2,1,7,6,3] => [7,6,8,2,4,1,5,3] => [[1,3,5],[2,4],[6,8],[7]] => 18
{{1,4},{2,5},{3,8},{6,7}} => [4,5,8,1,2,7,6,3] => [7,6,8,1,5,2,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => 21
{{1,3},{2,5},{4,8},{6,7}} => [3,5,1,8,2,7,6,4] => [7,6,8,1,3,2,5,4] => [[1,2,4],[3,5],[6,8],[7]] => 21
{{1,2},{3,5},{4,8},{6,7}} => [2,1,5,8,3,7,6,4] => [2,1,7,6,8,3,5,4] => [[1,3,4],[2,5,8],[6],[7]] => 16
{{1,2},{3,6},{4,8},{5,7}} => [2,1,6,8,7,3,5,4] => [2,1,7,3,8,5,6,4] => [[1,3,4,6],[2,5,8],[7]] => 12
{{1,3},{2,6},{4,8},{5,7}} => [3,6,1,8,7,2,5,4] => [7,1,3,2,8,5,6,4] => [[1,2,4,6],[3,5],[7,8]] => 17
{{1,4},{2,6},{3,8},{5,7}} => [4,6,8,1,7,2,5,3] => [7,1,8,5,6,2,4,3] => [[1,2,3],[4,6],[5,8],[7]] => 20
{{1,5},{2,6},{3,8},{4,7}} => [5,6,8,7,1,2,4,3] => [7,1,8,2,6,4,5,3] => [[1,2,3,5],[4,8],[6],[7]] => 18
{{1,6},{2,5},{3,8},{4,7}} => [6,5,8,7,2,1,4,3] => [7,2,8,1,5,4,6,3] => [[1,3,6],[2,4],[5,8],[7]] => 17
{{1,7},{2,5},{3,8},{4,6}} => [7,5,8,6,2,4,1,3] => [6,2,8,4,5,1,7,3] => [[1,3,5,7],[2,4],[6,8]] => 13
{{1,8},{2,5},{3,7},{4,6}} => [8,5,7,6,2,4,3,1] => [6,2,7,4,5,3,8,1] => [[1,3,5,8],[2,7],[4],[6]] => 11
{{1,8},{2,6},{3,7},{4,5}} => [8,6,7,5,4,2,3,1] => [5,4,7,2,6,3,8,1] => [[1,3,8],[2,6],[4,7],[5]] => 11
{{1,7},{2,6},{3,8},{4,5}} => [7,6,8,5,4,2,1,3] => [5,4,8,2,6,1,7,3] => [[1,3,7],[2,6],[4,8],[5]] => 12
{{1,6},{2,7},{3,8},{4,5}} => [6,7,8,5,4,1,2,3] => [5,4,8,1,7,2,6,3] => [[1,2,3],[4,6],[5,7],[8]] => 21
{{1,5},{2,7},{3,8},{4,6}} => [5,7,8,6,1,4,2,3] => [6,1,8,4,7,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => 23
{{1,4},{2,7},{3,8},{5,6}} => [4,7,8,1,6,5,2,3] => [6,5,8,1,7,2,4,3] => [[1,2,3],[4,7],[5,8],[6]] => 19
{{1,3},{2,7},{4,8},{5,6}} => [3,7,1,8,6,5,2,4] => [6,5,8,1,3,2,7,4] => [[1,2,4],[3,7],[5,8],[6]] => 18
{{1,2},{3,7},{4,8},{5,6}} => [2,1,7,8,6,5,3,4] => [2,1,6,5,8,3,7,4] => [[1,3,4],[2,5,7],[6,8]] => 16
{{1,2},{3,8},{4,7},{5,6}} => [2,1,8,7,6,5,4,3] => [2,1,6,5,7,4,8,3] => [[1,3,7,8],[2,4],[5],[6]] => 11
{{1,3},{2,8},{4,7},{5,6}} => [3,8,1,7,6,5,4,2] => [6,5,7,4,8,1,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => 16
{{1,4},{2,8},{3,7},{5,6}} => [4,8,7,1,6,5,3,2] => [6,5,7,1,8,3,4,2] => [[1,2,4],[3,7,8],[5],[6]] => 17
{{1,5},{2,8},{3,7},{4,6}} => [5,8,7,6,1,4,3,2] => [6,1,7,4,8,3,5,2] => [[1,2,5],[3,7,8],[4],[6]] => 16
{{1,6},{2,8},{3,7},{4,5}} => [6,8,7,5,4,1,3,2] => [5,4,7,1,8,3,6,2] => [[1,2,6],[3,7,8],[4],[5]] => 15
{{1,7},{2,8},{3,6},{4,5}} => [7,8,6,5,4,3,1,2] => [5,4,6,3,8,1,7,2] => [[1,2,7],[3,6],[4,8],[5]] => 15
{{1,8},{2,7},{3,6},{4,5}} => [8,7,6,5,4,3,2,1] => [5,4,6,3,7,2,8,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
{{1,2},{3,4},{5,6},{7,8},{9,10}} => [2,1,4,3,6,5,8,7,10,9] => [2,1,4,3,6,5,8,7,10,9] => [[1,3,5,7,9],[2,4,6,8,10]] => 5
{{1,6},{2,7},{3,8},{4,9},{5,10}} => [6,7,8,9,10,1,2,3,4,5] => [10,1,9,2,8,3,7,4,6,5] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => 35
{{1},{2},{3},{4},{5},{6},{7},{8}} => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [[1,2,3,4,5,6,7,8]] => 0
{{1},{2},{3},{4},{5},{6},{7,8}} => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [[1,2,3,4,5,6,7],[8]] => 7
{{1},{2},{3},{4},{5},{6,8},{7}} => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,7,8,6] => [[1,2,3,4,5,6,8],[7]] => 6
{{1},{2},{3},{4},{5},{6,7,8}} => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6] => [[1,2,3,4,5,6],[7],[8]] => 13
{{1},{2},{3},{4},{5,8},{6},{7}} => [1,2,3,4,8,6,7,5] => [1,2,3,4,6,7,8,5] => [[1,2,3,4,5,7,8],[6]] => 5
{{1},{2},{3},{4},{5,7,8},{6}} => [1,2,3,4,7,6,8,5] => [1,2,3,4,6,8,7,5] => [[1,2,3,4,5,7],[6],[8]] => 12
{{1},{2},{3},{4},{5,8},{6,7}} => [1,2,3,4,8,7,6,5] => [1,2,3,4,7,6,8,5] => [[1,2,3,4,5,8],[6],[7]] => 11
{{1},{2},{3},{4},{5,6,8},{7}} => [1,2,3,4,6,8,7,5] => [1,2,3,4,7,8,6,5] => [[1,2,3,4,5,8],[6],[7]] => 11
{{1},{2},{3},{4},{5,6,7,8}} => [1,2,3,4,6,7,8,5] => [1,2,3,4,8,7,6,5] => [[1,2,3,4,5],[6],[7],[8]] => 18
{{1},{2},{3},{4,8},{5},{6},{7}} => [1,2,3,8,5,6,7,4] => [1,2,3,5,6,7,8,4] => [[1,2,3,4,6,7,8],[5]] => 4
{{1},{2},{3},{4,6,8},{5},{7}} => [1,2,3,6,5,8,7,4] => [1,2,3,5,7,8,6,4] => [[1,2,3,4,6,8],[5],[7]] => 10
{{1},{2},{3},{4,6,7,8},{5}} => [1,2,3,6,5,7,8,4] => [1,2,3,5,8,7,6,4] => [[1,2,3,4,6],[5],[7],[8]] => 17
{{1},{2},{3},{4,7,8},{5,6}} => [1,2,3,7,6,5,8,4] => [1,2,3,6,5,8,7,4] => [[1,2,3,4,7],[5,8],[6]] => 14
{{1},{2},{3},{4,5,8},{6},{7}} => [1,2,3,5,8,6,7,4] => [1,2,3,6,7,8,5,4] => [[1,2,3,4,7,8],[5],[6]] => 9
{{1},{2},{3},{4,8},{5,6,7}} => [1,2,3,8,6,7,5,4] => [1,2,3,7,6,5,8,4] => [[1,2,3,4,8],[5],[6],[7]] => 15
{{1},{2},{3},{4,5,6,8},{7}} => [1,2,3,5,6,8,7,4] => [1,2,3,7,8,6,5,4] => [[1,2,3,4,8],[5],[6],[7]] => 15
{{1},{2},{3},{4,5,6,7,8}} => [1,2,3,5,6,7,8,4] => [1,2,3,8,7,6,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => 22
{{1},{2},{3,4},{5,6},{7},{8}} => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => [[1,2,3,5,7,8],[4,6]] => 7
{{1},{2},{3,4},{5,8},{6,7}} => [1,2,4,3,8,7,6,5] => [1,2,4,3,7,6,8,5] => [[1,2,3,5,8],[4,6],[7]] => 13
{{1},{2},{3,4},{5,6,7,8}} => [1,2,4,3,6,7,8,5] => [1,2,4,3,8,7,6,5] => [[1,2,3,5],[4,6],[7],[8]] => 20
{{1},{2},{3,5},{4},{6,7,8}} => [1,2,5,4,3,7,8,6] => [1,2,4,5,3,8,7,6] => [[1,2,3,5,6],[4,7],[8]] => 15
{{1},{2},{3,8},{4},{5},{6},{7}} => [1,2,8,4,5,6,7,3] => [1,2,4,5,6,7,8,3] => [[1,2,3,5,6,7,8],[4]] => 3
{{1},{2},{3,5,8},{4},{6},{7}} => [1,2,5,4,8,6,7,3] => [1,2,4,6,7,8,5,3] => [[1,2,3,5,7,8],[4],[6]] => 8
{{1},{2},{3,5,7,8},{4},{6}} => [1,2,5,4,7,6,8,3] => [1,2,4,6,8,7,5,3] => [[1,2,3,5,7],[4],[6],[8]] => 15
{{1},{2},{3,8},{4},{5,6,7}} => [1,2,8,4,6,7,5,3] => [1,2,4,7,6,5,8,3] => [[1,2,3,5,8],[4],[6],[7]] => 14
{{1},{2},{3,5,6,7,8},{4}} => [1,2,5,4,6,7,8,3] => [1,2,4,8,7,6,5,3] => [[1,2,3,5],[4],[6],[7],[8]] => 21
{{1},{2},{3,4,5},{6,7,8}} => [1,2,4,5,3,7,8,6] => [1,2,5,4,3,8,7,6] => [[1,2,3,6],[4,7],[5,8]] => 16
{{1},{2},{3,6,7,8},{4,5}} => [1,2,6,5,4,7,8,3] => [1,2,5,4,8,7,6,3] => [[1,2,3,6],[4,7],[5],[8]] => 18
{{1},{2},{3,4,8},{5},{6},{7}} => [1,2,4,8,5,6,7,3] => [1,2,5,6,7,8,4,3] => [[1,2,3,6,7,8],[4],[5]] => 7
{{1},{2},{3,8},{4,6,7},{5}} => [1,2,8,6,5,7,4,3] => [1,2,5,7,6,4,8,3] => [[1,2,3,6,8],[4],[5],[7]] => 13
{{1},{2},{3,4,7,8},{5,6}} => [1,2,4,7,6,5,8,3] => [1,2,6,5,8,7,4,3] => [[1,2,3,7],[4,8],[5],[6]] => 16
{{1},{2},{3,4,5,8},{6},{7}} => [1,2,4,5,8,6,7,3] => [1,2,6,7,8,5,4,3] => [[1,2,3,7,8],[4],[5],[6]] => 12
{{1},{2},{3,4,5,6,7},{8}} => [1,2,4,5,6,7,3,8] => [1,2,7,6,5,4,3,8] => [[1,2,3,8],[4],[5],[6],[7]] => 18
{{1},{2},{3,8},{4,5,6,7}} => [1,2,8,5,6,7,4,3] => [1,2,7,6,5,4,8,3] => [[1,2,3,8],[4],[5],[6],[7]] => 18
{{1},{2},{3,4,5,8},{6,7}} => [1,2,4,5,8,7,6,3] => [1,2,7,6,8,5,4,3] => [[1,2,3,8],[4],[5],[6],[7]] => 18
{{1},{2},{3,4,5,6,8},{7}} => [1,2,4,5,6,8,7,3] => [1,2,7,8,6,5,4,3] => [[1,2,3,8],[4],[5],[6],[7]] => 18
{{1},{2},{3,4,5,6,7,8}} => [1,2,4,5,6,7,8,3] => [1,2,8,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7],[8]] => 25
{{1},{2,3},{4},{5},{6,7},{8}} => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => [[1,2,4,5,6,8],[3,7]] => 7
{{1},{2,3},{4},{5,8},{6,7}} => [1,3,2,4,8,7,6,5] => [1,3,2,4,7,6,8,5] => [[1,2,4,5,8],[3,6],[7]] => 12
{{1},{2,3},{4},{5,6,7,8}} => [1,3,2,4,6,7,8,5] => [1,3,2,4,8,7,6,5] => [[1,2,4,5],[3,6],[7],[8]] => 19
{{1},{2,3},{4,5},{6,7},{8}} => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => [[1,2,4,6,8],[3,5,7]] => 9
{{1},{2,3},{4,5},{6,8},{7}} => [1,3,2,5,4,8,7,6] => [1,3,2,5,4,7,8,6] => [[1,2,4,6,8],[3,5,7]] => 9
{{1},{2,3},{4,5},{6,7,8}} => [1,3,2,5,4,7,8,6] => [1,3,2,5,4,8,7,6] => [[1,2,4,6],[3,5,7],[8]] => 16
{{1},{2,3},{4,6,7},{5},{8}} => [1,3,2,6,5,7,4,8] => [1,3,2,5,7,6,4,8] => [[1,2,4,6,8],[3,5],[7]] => 11
{{1},{2,3},{4,6,8},{5},{7}} => [1,3,2,6,5,8,7,4] => [1,3,2,5,7,8,6,4] => [[1,2,4,6,8],[3,5],[7]] => 11
{{1},{2,3},{4,6,7,8},{5}} => [1,3,2,6,5,7,8,4] => [1,3,2,5,8,7,6,4] => [[1,2,4,6],[3,5],[7],[8]] => 18
{{1},{2,3},{4,5,6},{7,8}} => [1,3,2,5,6,4,8,7] => [1,3,2,6,5,4,8,7] => [[1,2,4,7],[3,5,8],[6]] => 14
{{1},{2,3},{4,8},{5,6},{7}} => [1,3,2,8,6,5,7,4] => [1,3,2,6,5,7,8,4] => [[1,2,4,7,8],[3,5],[6]] => 10
{{1},{2,3},{4,7,8},{5,6}} => [1,3,2,7,6,5,8,4] => [1,3,2,6,5,8,7,4] => [[1,2,4,7],[3,5,8],[6]] => 14
{{1},{2,3},{4,8},{5,7},{6}} => [1,3,2,8,7,6,5,4] => [1,3,2,6,7,5,8,4] => [[1,2,4,7,8],[3,5],[6]] => 10
{{1},{2,3},{4,8},{5,6,7}} => [1,3,2,8,6,7,5,4] => [1,3,2,7,6,5,8,4] => [[1,2,4,8],[3,5],[6],[7]] => 16
{{1},{2,3},{4,5,8},{6,7}} => [1,3,2,5,8,7,6,4] => [1,3,2,7,6,8,5,4] => [[1,2,4,8],[3,5],[6],[7]] => 16
{{1},{2,3},{4,5,6,7,8}} => [1,3,2,5,6,7,8,4] => [1,3,2,8,7,6,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => 23
{{1},{2,4},{3},{5},{6},{7,8}} => [1,4,3,2,5,6,8,7] => [1,3,4,2,5,6,8,7] => [[1,2,4,5,6,7],[3,8]] => 8
{{1},{2,4},{3},{5},{6,8},{7}} => [1,4,3,2,5,8,7,6] => [1,3,4,2,5,7,8,6] => [[1,2,4,5,6,8],[3,7]] => 7
{{1},{2,4},{3},{5,7},{6},{8}} => [1,4,3,2,7,6,5,8] => [1,3,4,2,6,7,5,8] => [[1,2,4,5,7,8],[3,6]] => 6
{{1},{2,4},{3},{5,7,8},{6}} => [1,4,3,2,7,6,8,5] => [1,3,4,2,6,8,7,5] => [[1,2,4,5,7],[3,6],[8]] => 13
{{1},{2,4},{3},{5,8},{6,7}} => [1,4,3,2,8,7,6,5] => [1,3,4,2,7,6,8,5] => [[1,2,4,5,8],[3,6],[7]] => 12
{{1},{2,4},{3},{5,6,7,8}} => [1,4,3,2,6,7,8,5] => [1,3,4,2,8,7,6,5] => [[1,2,4,5],[3,6],[7],[8]] => 19
{{1},{2,5},{3},{4},{6,8},{7}} => [1,5,3,4,2,8,7,6] => [1,3,4,5,2,7,8,6] => [[1,2,4,5,6,8],[3,7]] => 7
{{1},{2,8},{3},{4},{5},{6},{7}} => [1,8,3,4,5,6,7,2] => [1,3,4,5,6,7,8,2] => [[1,2,4,5,6,7,8],[3]] => 2
{{1},{2,5,8},{3},{4},{6},{7}} => [1,5,3,4,8,6,7,2] => [1,3,4,6,7,8,5,2] => [[1,2,4,5,7,8],[3],[6]] => 7
{{1},{2,5,6,7,8},{3},{4}} => [1,5,3,4,6,7,8,2] => [1,3,4,8,7,6,5,2] => [[1,2,4,5],[3],[6],[7],[8]] => 20
{{1},{2,4,5},{3},{6,7},{8}} => [1,4,3,5,2,7,6,8] => [1,3,5,4,2,7,6,8] => [[1,2,4,6,8],[3,7],[5]] => 10
{{1},{2,4,5},{3},{6,8},{7}} => [1,4,3,5,2,8,7,6] => [1,3,5,4,2,7,8,6] => [[1,2,4,6,8],[3,7],[5]] => 10
{{1},{2,4,8},{3},{5},{6},{7}} => [1,4,3,8,5,6,7,2] => [1,3,5,6,7,8,4,2] => [[1,2,4,6,7,8],[3],[5]] => 6
{{1},{2,4,6,7},{3},{5},{8}} => [1,4,3,6,5,7,2,8] => [1,3,5,7,6,4,2,8] => [[1,2,4,6,8],[3],[5],[7]] => 12
{{1},{2,4,6,8},{3},{5},{7}} => [1,4,3,6,5,8,7,2] => [1,3,5,7,8,6,4,2] => [[1,2,4,6,8],[3],[5],[7]] => 12
{{1},{2,4,6,7,8},{3},{5}} => [1,4,3,6,5,7,8,2] => [1,3,5,8,7,6,4,2] => [[1,2,4,6],[3],[5],[7],[8]] => 19
{{1},{2,8},{3},{4,7},{5,6}} => [1,8,3,7,6,5,4,2] => [1,3,6,5,7,4,8,2] => [[1,2,4,7,8],[3],[5],[6]] => 11
{{1},{2,4,8},{3},{5,6},{7}} => [1,4,3,8,6,5,7,2] => [1,3,6,5,7,8,4,2] => [[1,2,4,7,8],[3],[5],[6]] => 11
{{1},{2,4,8},{3},{5,7},{6}} => [1,4,3,8,7,6,5,2] => [1,3,6,7,5,8,4,2] => [[1,2,4,7,8],[3],[5],[6]] => 11
{{1},{2,4,5,6,7,8},{3}} => [1,4,3,5,6,7,8,2] => [1,3,8,7,6,5,4,2] => [[1,2,4],[3],[5],[6],[7],[8]] => 24
{{1},{2,3,4},{5},{6,7,8}} => [1,3,4,2,5,7,8,6] => [1,4,3,2,5,8,7,6] => [[1,2,5,6],[3,7],[4,8]] => 14
{{1},{2,3,4},{5,6,7},{8}} => [1,3,4,2,6,7,5,8] => [1,4,3,2,7,6,5,8] => [[1,2,5,8],[3,6],[4,7]] => 12
{{1},{2,3,4},{5,8},{6,7}} => [1,3,4,2,8,7,6,5] => [1,4,3,2,7,6,8,5] => [[1,2,5,8],[3,6],[4,7]] => 12
{{1},{2,6,8},{3,4},{5},{7}} => [1,6,4,3,5,8,7,2] => [1,4,3,5,7,8,6,2] => [[1,2,5,6,8],[3,7],[4]] => 9
{{1},{2,8},{3,4},{5,6},{7}} => [1,8,4,3,6,5,7,2] => [1,4,3,6,5,7,8,2] => [[1,2,5,7,8],[3,6],[4]] => 8
{{1},{2,7,8},{3,4},{5,6}} => [1,7,4,3,6,5,8,2] => [1,4,3,6,5,8,7,2] => [[1,2,5,7],[3,6,8],[4]] => 12
{{1},{2,5,8},{3,4},{6,7}} => [1,5,4,3,8,7,6,2] => [1,4,3,7,6,8,5,2] => [[1,2,5,8],[3,6],[4],[7]] => 14
{{1},{2,5,6,7,8},{3,4}} => [1,5,4,3,6,7,8,2] => [1,4,3,8,7,6,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => 21
{{1},{2,3,5},{4},{6,7,8}} => [1,3,5,4,2,7,8,6] => [1,4,5,3,2,8,7,6] => [[1,2,5,6],[3,7],[4,8]] => 14
{{1},{2,6,8},{3,5},{4},{7}} => [1,6,5,4,3,8,7,2] => [1,4,5,3,7,8,6,2] => [[1,2,5,6,8],[3,7],[4]] => 9
{{1},{2,6,7,8},{3,5},{4}} => [1,6,5,4,3,7,8,2] => [1,4,5,3,8,7,6,2] => [[1,2,5,6],[3,7],[4],[8]] => 16
{{1},{2,3,8},{4},{5},{6},{7}} => [1,3,8,4,5,6,7,2] => [1,4,5,6,7,8,3,2] => [[1,2,5,6,7,8],[3],[4]] => 5
{{1},{2,3,6,7,8},{4},{5}} => [1,3,6,4,5,7,8,2] => [1,4,5,8,7,6,3,2] => [[1,2,5,6],[3],[4],[7],[8]] => 18
{{1},{2,8},{3,7},{4},{5,6}} => [1,8,7,4,6,5,3,2] => [1,4,6,5,7,3,8,2] => [[1,2,5,7,8],[3],[4],[6]] => 10
{{1},{2,3,5,7},{4},{6},{8}} => [1,3,5,4,7,6,2,8] => [1,4,6,7,5,3,2,8] => [[1,2,5,7,8],[3],[4],[6]] => 10
{{1},{2,8},{3,5,7},{4},{6}} => [1,8,5,4,7,6,3,2] => [1,4,6,7,5,3,8,2] => [[1,2,5,7,8],[3],[4],[6]] => 10
{{1},{2,3,5,7,8},{4},{6}} => [1,3,5,4,7,6,8,2] => [1,4,6,8,7,5,3,2] => [[1,2,5,7],[3],[4],[6],[8]] => 17
{{1},{2,3,5,6,7},{4},{8}} => [1,3,5,4,6,7,2,8] => [1,4,7,6,5,3,2,8] => [[1,2,5,8],[3],[4],[6],[7]] => 16
{{1},{2,3,8},{4},{5,6,7}} => [1,3,8,4,6,7,5,2] => [1,4,7,6,5,8,3,2] => [[1,2,5,8],[3],[4],[6],[7]] => 16
{{1},{2,3,5,6,7,8},{4}} => [1,3,5,4,6,7,8,2] => [1,4,8,7,6,5,3,2] => [[1,2,5],[3],[4],[6],[7],[8]] => 23
{{1},{2,3,6},{4,5},{7,8}} => [1,3,6,5,4,2,8,7] => [1,5,4,6,3,2,8,7] => [[1,2,6,7],[3,8],[4],[5]] => 13
{{1},{2,7},{3,6},{4,5},{8}} => [1,7,6,5,4,3,2,8] => [1,5,4,6,3,7,2,8] => [[1,2,6,7,8],[3],[4],[5]] => 9
{{1},{2,8},{3,6},{4,5},{7}} => [1,8,6,5,4,3,7,2] => [1,5,4,6,3,7,8,2] => [[1,2,6,7,8],[3],[4],[5]] => 9
{{1},{2,8},{3,7},{4,5},{6}} => [1,8,7,5,4,6,3,2] => [1,5,4,6,7,3,8,2] => [[1,2,6,7,8],[3],[4],[5]] => 9
{{1},{2,3,8},{4,5},{6},{7}} => [1,3,8,5,4,6,7,2] => [1,5,4,6,7,8,3,2] => [[1,2,6,7,8],[3],[4],[5]] => 9
{{1},{2,3,6,8},{4,5},{7}} => [1,3,6,5,4,8,7,2] => [1,5,4,7,8,6,3,2] => [[1,2,6,8],[3,7],[4],[5]] => 12
{{1},{2,8},{3,7},{4,6},{5}} => [1,8,7,6,5,4,3,2] => [1,5,6,4,7,3,8,2] => [[1,2,6,7,8],[3],[4],[5]] => 9
{{1},{2,3,4,8},{5},{6},{7}} => [1,3,4,8,5,6,7,2] => [1,5,6,7,8,4,3,2] => [[1,2,6,7,8],[3],[4],[5]] => 9
{{1},{2,3,4,6,7,8},{5}} => [1,3,4,6,5,7,8,2] => [1,5,8,7,6,4,3,2] => [[1,2,6],[3],[4],[5],[7],[8]] => 22
{{1},{2,8},{3,4,7},{5,6}} => [1,8,4,7,6,5,3,2] => [1,6,5,7,4,3,8,2] => [[1,2,7,8],[3],[4],[5],[6]] => 14
{{1},{2,3,4,8},{5,6},{7}} => [1,3,4,8,6,5,7,2] => [1,6,5,7,8,4,3,2] => [[1,2,7,8],[3],[4],[5],[6]] => 14
{{1},{2,3,4,5,7},{6},{8}} => [1,3,4,5,7,6,2,8] => [1,6,7,5,4,3,2,8] => [[1,2,7,8],[3],[4],[5],[6]] => 14
{{1},{2,3,4,8},{5,7},{6}} => [1,3,4,8,7,6,5,2] => [1,6,7,5,8,4,3,2] => [[1,2,7,8],[3],[4],[5],[6]] => 14
{{1},{2,3,4,5,8},{6},{7}} => [1,3,4,5,8,6,7,2] => [1,6,7,8,5,4,3,2] => [[1,2,7,8],[3],[4],[5],[6]] => 14
{{1},{2,3,4,5,7,8},{6}} => [1,3,4,5,7,6,8,2] => [1,6,8,7,5,4,3,2] => [[1,2,7],[3],[4],[5],[6],[8]] => 21
{{1},{2,8},{3,4,5,6,7}} => [1,8,4,5,6,7,3,2] => [1,7,6,5,4,3,8,2] => [[1,2,8],[3],[4],[5],[6],[7]] => 20
{{1},{2,3,4,5,8},{6,7}} => [1,3,4,5,8,7,6,2] => [1,7,6,8,5,4,3,2] => [[1,2,8],[3],[4],[5],[6],[7]] => 20
{{1},{2,3,4,5,6,8},{7}} => [1,3,4,5,6,8,7,2] => [1,7,8,6,5,4,3,2] => [[1,2,8],[3],[4],[5],[6],[7]] => 20
{{1},{2,3,4,5,6,7,8}} => [1,3,4,5,6,7,8,2] => [1,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8]] => 27
{{1,2},{3},{4},{5},{6},{7},{8}} => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => 1
{{1,2},{3},{4},{5},{6},{7,8}} => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7] => [[1,3,4,5,6,7],[2,8]] => 6
{{1,2},{3},{4},{5,6},{7},{8}} => [2,1,3,4,6,5,7,8] => [2,1,3,4,6,5,7,8] => [[1,3,4,5,7,8],[2,6]] => 4
{{1,2},{3},{4},{5,8},{6,7}} => [2,1,3,4,8,7,6,5] => [2,1,3,4,7,6,8,5] => [[1,3,4,5,8],[2,6],[7]] => 10
{{1,2},{3},{4},{5,6,7,8}} => [2,1,3,4,6,7,8,5] => [2,1,3,4,8,7,6,5] => [[1,3,4,5],[2,6],[7],[8]] => 17
{{1,2},{3},{4,5},{6,7,8}} => [2,1,3,5,4,7,8,6] => [2,1,3,5,4,8,7,6] => [[1,3,4,6],[2,5,7],[8]] => 13
{{1,2},{3,4},{5},{6},{7},{8}} => [2,1,4,3,5,6,7,8] => [2,1,4,3,5,6,7,8] => [[1,3,5,6,7,8],[2,4]] => 2
{{1,2},{3,4},{5},{6,7,8}} => [2,1,4,3,5,7,8,6] => [2,1,4,3,5,8,7,6] => [[1,3,5,6],[2,4,7],[8]] => 11
{{1,2},{3,4},{5,6},{7},{8}} => [2,1,4,3,6,5,7,8] => [2,1,4,3,6,5,7,8] => [[1,3,5,7,8],[2,4,6]] => 3
{{1,2},{3,4},{5,7,8},{6}} => [2,1,4,3,7,6,8,5] => [2,1,4,3,6,8,7,5] => [[1,3,5,7],[2,4,6],[8]] => 10
{{1,2},{3,4},{5,6,8},{7}} => [2,1,4,3,6,8,7,5] => [2,1,4,3,7,8,6,5] => [[1,3,5,8],[2,4,6],[7]] => 9
{{1,2},{3,4},{5,6,7,8}} => [2,1,4,3,6,7,8,5] => [2,1,4,3,8,7,6,5] => [[1,3,5],[2,4,6],[7],[8]] => 16
{{1,2},{3,5},{4},{6},{7},{8}} => [2,1,5,4,3,6,7,8] => [2,1,4,5,3,6,7,8] => [[1,3,5,6,7,8],[2,4]] => 2
{{1,2},{3,6,7,8},{4},{5}} => [2,1,6,4,5,7,8,3] => [2,1,4,5,8,7,6,3] => [[1,3,5,6],[2,4],[7],[8]] => 15
{{1,2},{3,5,6},{4},{7,8}} => [2,1,5,4,6,3,8,7] => [2,1,4,6,5,3,8,7] => [[1,3,5,7],[2,4,8],[6]] => 9
{{1,2},{3,7,8},{4},{5,6}} => [2,1,7,4,6,5,8,3] => [2,1,4,6,5,8,7,3] => [[1,3,5,7],[2,4,8],[6]] => 9
{{1,2},{3,5,7,8},{4},{6}} => [2,1,5,4,7,6,8,3] => [2,1,4,6,8,7,5,3] => [[1,3,5,7],[2,4],[6],[8]] => 14
{{1,2},{3,8},{4},{5,6,7}} => [2,1,8,4,6,7,5,3] => [2,1,4,7,6,5,8,3] => [[1,3,5,8],[2,4],[6],[7]] => 13
{{1,2},{3,5,6,8},{4},{7}} => [2,1,5,4,6,8,7,3] => [2,1,4,7,8,6,5,3] => [[1,3,5,8],[2,4],[6],[7]] => 13
{{1,2},{3,5,6,7,8},{4}} => [2,1,5,4,6,7,8,3] => [2,1,4,8,7,6,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => 20
{{1,2},{3,4,5},{6},{7},{8}} => [2,1,4,5,3,6,7,8] => [2,1,5,4,3,6,7,8] => [[1,3,6,7,8],[2,4],[5]] => 6
{{1,2},{3,7,8},{4,5},{6}} => [2,1,7,5,4,6,8,3] => [2,1,5,4,6,8,7,3] => [[1,3,6,7],[2,4,8],[5]] => 8
{{1,2},{3,6,8},{4,5},{7}} => [2,1,6,5,4,8,7,3] => [2,1,5,4,7,8,6,3] => [[1,3,6,8],[2,4,7],[5]] => 7
{{1,2},{3,4,6},{5},{7,8}} => [2,1,4,6,5,3,8,7] => [2,1,5,6,4,3,8,7] => [[1,3,6,7],[2,4,8],[5]] => 8
{{1,2},{3,7,8},{4,6},{5}} => [2,1,7,6,5,4,8,3] => [2,1,5,6,4,8,7,3] => [[1,3,6,7],[2,4,8],[5]] => 8
{{1,2},{3,8},{4,6,7},{5}} => [2,1,8,6,5,7,4,3] => [2,1,5,7,6,4,8,3] => [[1,3,6,8],[2,4],[5],[7]] => 12
{{1,2},{3,4,8},{5},{6,7}} => [2,1,4,8,5,7,6,3] => [2,1,5,7,6,8,4,3] => [[1,3,6,8],[2,4],[5],[7]] => 12
{{1,2},{3,4,6,8},{5},{7}} => [2,1,4,6,5,8,7,3] => [2,1,5,7,8,6,4,3] => [[1,3,6,8],[2,4],[5],[7]] => 12
{{1,2},{3,4,5,6},{7,8}} => [2,1,4,5,6,3,8,7] => [2,1,6,5,4,3,8,7] => [[1,3,7],[2,4,8],[5],[6]] => 12
{{1,2},{3,4,8},{5,6},{7}} => [2,1,4,8,6,5,7,3] => [2,1,6,5,7,8,4,3] => [[1,3,7,8],[2,4],[5],[6]] => 11
{{1,2},{3,8},{4,5,7},{6}} => [2,1,8,5,7,6,4,3] => [2,1,6,7,5,4,8,3] => [[1,3,7,8],[2,4],[5],[6]] => 11
{{1,2},{3,4,8},{5,7},{6}} => [2,1,4,8,7,6,5,3] => [2,1,6,7,5,8,4,3] => [[1,3,7,8],[2,4],[5],[6]] => 11
{{1,2},{3,4,5,8},{6},{7}} => [2,1,4,5,8,6,7,3] => [2,1,6,7,8,5,4,3] => [[1,3,7,8],[2,4],[5],[6]] => 11
{{1,2},{3,4,8},{5,6,7}} => [2,1,4,8,6,7,5,3] => [2,1,7,6,5,8,4,3] => [[1,3,8],[2,4],[5],[6],[7]] => 17
{{1,2},{3,4,5,8},{6,7}} => [2,1,4,5,8,7,6,3] => [2,1,7,6,8,5,4,3] => [[1,3,8],[2,4],[5],[6],[7]] => 17
{{1,2},{3,4,5,6,8},{7}} => [2,1,4,5,6,8,7,3] => [2,1,7,8,6,5,4,3] => [[1,3,8],[2,4],[5],[6],[7]] => 17
{{1,2},{3,4,5,6,7,8}} => [2,1,4,5,6,7,8,3] => [2,1,8,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8]] => 24
{{1,3},{2},{4},{5},{6},{7},{8}} => [3,2,1,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => 1
{{1,3},{2},{4},{5},{6},{7,8}} => [3,2,1,4,5,6,8,7] => [2,3,1,4,5,6,8,7] => [[1,3,4,5,6,7],[2,8]] => 6
{{1,3},{2},{4},{5},{6,8},{7}} => [3,2,1,4,5,8,7,6] => [2,3,1,4,5,7,8,6] => [[1,3,4,5,6,8],[2,7]] => 5
{{1,3},{2},{4},{5,8},{6,7}} => [3,2,1,4,8,7,6,5] => [2,3,1,4,7,6,8,5] => [[1,3,4,5,8],[2,6],[7]] => 10
{{1,3},{2},{4},{5,6,7,8}} => [3,2,1,4,6,7,8,5] => [2,3,1,4,8,7,6,5] => [[1,3,4,5],[2,6],[7],[8]] => 17
{{1,3},{2},{4,5},{6,7},{8}} => [3,2,1,5,4,7,6,8] => [2,3,1,5,4,7,6,8] => [[1,3,4,6,8],[2,5,7]] => 6
{{1,3},{2},{4,8},{5},{6,7}} => [3,2,1,8,5,7,6,4] => [2,3,1,5,7,6,8,4] => [[1,3,4,6,8],[2,5],[7]] => 9
{{1,3},{2},{4,6,8},{5},{7}} => [3,2,1,6,5,8,7,4] => [2,3,1,5,7,8,6,4] => [[1,3,4,6,8],[2,5],[7]] => 9
{{1,3},{2},{4,7,8},{5,6}} => [3,2,1,7,6,5,8,4] => [2,3,1,6,5,8,7,4] => [[1,3,4,7],[2,5,8],[6]] => 11
{{1,3},{2},{4,8},{5,7},{6}} => [3,2,1,8,7,6,5,4] => [2,3,1,6,7,5,8,4] => [[1,3,4,7,8],[2,5],[6]] => 8
{{1,3},{2},{4,5,7,8},{6}} => [3,2,1,5,7,6,8,4] => [2,3,1,6,8,7,5,4] => [[1,3,4,7],[2,5],[6],[8]] => 15
{{1,3},{2},{4,8},{5,6,7}} => [3,2,1,8,6,7,5,4] => [2,3,1,7,6,5,8,4] => [[1,3,4,8],[2,5],[6],[7]] => 14
{{1,3},{2},{4,5,8},{6,7}} => [3,2,1,5,8,7,6,4] => [2,3,1,7,6,8,5,4] => [[1,3,4,8],[2,5],[6],[7]] => 14
{{1,3},{2},{4,5,6,8},{7}} => [3,2,1,5,6,8,7,4] => [2,3,1,7,8,6,5,4] => [[1,3,4,8],[2,5],[6],[7]] => 14
{{1,3},{2},{4,5,6,7,8}} => [3,2,1,5,6,7,8,4] => [2,3,1,8,7,6,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => 21
{{1,4},{2},{3},{5},{6},{7},{8}} => [4,2,3,1,5,6,7,8] => [2,3,4,1,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => 1
{{1,4},{2},{3},{5},{6,8},{7}} => [4,2,3,1,5,8,7,6] => [2,3,4,1,5,7,8,6] => [[1,3,4,5,6,8],[2,7]] => 5
{{1,4},{2},{3},{5,6},{7,8}} => [4,2,3,1,6,5,8,7] => [2,3,4,1,6,5,8,7] => [[1,3,4,5,7],[2,6,8]] => 8
{{1,4},{2},{3},{5,8},{6},{7}} => [4,2,3,1,8,6,7,5] => [2,3,4,1,6,7,8,5] => [[1,3,4,5,7,8],[2,6]] => 4
{{1,4},{2},{3},{5,8},{6,7}} => [4,2,3,1,8,7,6,5] => [2,3,4,1,7,6,8,5] => [[1,3,4,5,8],[2,6],[7]] => 10
{{1,4},{2},{3},{5,6,7,8}} => [4,2,3,1,6,7,8,5] => [2,3,4,1,8,7,6,5] => [[1,3,4,5],[2,6],[7],[8]] => 17
{{1,5},{2},{3},{4},{6},{7},{8}} => [5,2,3,4,1,6,7,8] => [2,3,4,5,1,6,7,8] => [[1,3,4,5,6,7,8],[2]] => 1
{{1,6},{2},{3},{4},{5},{7},{8}} => [6,2,3,4,5,1,7,8] => [2,3,4,5,6,1,7,8] => [[1,3,4,5,6,7,8],[2]] => 1
{{1,6},{2},{3},{4},{5},{7,8}} => [6,2,3,4,5,1,8,7] => [2,3,4,5,6,1,8,7] => [[1,3,4,5,6,7],[2,8]] => 6
{{1,7},{2},{3},{4},{5},{6},{8}} => [7,2,3,4,5,6,1,8] => [2,3,4,5,6,7,1,8] => [[1,3,4,5,6,7,8],[2]] => 1
{{1,8},{2},{3},{4},{5},{6},{7}} => [8,2,3,4,5,6,7,1] => [2,3,4,5,6,7,8,1] => [[1,3,4,5,6,7,8],[2]] => 1
{{1,7,8},{2},{3},{4},{5},{6}} => [7,2,3,4,5,6,8,1] => [2,3,4,5,6,8,7,1] => [[1,3,4,5,6,7],[2],[8]] => 8
{{1,8},{2},{3},{4},{5},{6,7}} => [8,2,3,4,5,7,6,1] => [2,3,4,5,7,6,8,1] => [[1,3,4,5,6,8],[2],[7]] => 7
{{1,6,7,8},{2},{3},{4},{5}} => [6,2,3,4,5,7,8,1] => [2,3,4,5,8,7,6,1] => [[1,3,4,5,6],[2],[7],[8]] => 14
{{1,7},{2},{3},{4},{5,6},{8}} => [7,2,3,4,6,5,1,8] => [2,3,4,6,5,7,1,8] => [[1,3,4,5,7,8],[2],[6]] => 6
{{1,5,7},{2},{3},{4},{6},{8}} => [5,2,3,4,7,6,1,8] => [2,3,4,6,7,5,1,8] => [[1,3,4,5,7,8],[2],[6]] => 6
{{1,8},{2},{3},{4},{5,7},{6}} => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,5,8,1] => [[1,3,4,5,7,8],[2],[6]] => 6
{{1,5,6,7,8},{2},{3},{4}} => [5,2,3,4,6,7,8,1] => [2,3,4,8,7,6,5,1] => [[1,3,4,5],[2],[6],[7],[8]] => 19
{{1,4,5},{2},{3},{6,7,8}} => [4,2,3,5,1,7,8,6] => [2,3,5,4,1,8,7,6] => [[1,3,4,6],[2,7],[5,8]] => 12
{{1,8},{2},{3},{4,5},{6},{7}} => [8,2,3,5,4,6,7,1] => [2,3,5,4,6,7,8,1] => [[1,3,4,6,7,8],[2],[5]] => 5
{{1,7},{2},{3},{4,6},{5},{8}} => [7,2,3,6,5,4,1,8] => [2,3,5,6,4,7,1,8] => [[1,3,4,6,7,8],[2],[5]] => 5
{{1,4,5,6},{2},{3},{7,8}} => [4,2,3,5,6,1,8,7] => [2,3,6,5,4,1,8,7] => [[1,3,4,7],[2,8],[5],[6]] => 13
{{1,4,7,8},{2},{3},{5,6}} => [4,2,3,7,6,5,8,1] => [2,3,6,5,8,7,4,1] => [[1,3,4,7],[2,8],[5],[6]] => 13
{{1,4,5,6,7},{2},{3},{8}} => [4,2,3,5,6,7,1,8] => [2,3,7,6,5,4,1,8] => [[1,3,4,8],[2],[5],[6],[7]] => 16
{{1,4,8},{2},{3},{5,6,7}} => [4,2,3,8,6,7,5,1] => [2,3,7,6,5,8,4,1] => [[1,3,4,8],[2],[5],[6],[7]] => 16
{{1,4,5,6,7,8},{2},{3}} => [4,2,3,5,6,7,8,1] => [2,3,8,7,6,5,4,1] => [[1,3,4],[2],[5],[6],[7],[8]] => 23
{{1,3,4},{2},{5},{6},{7},{8}} => [3,2,4,1,5,6,7,8] => [2,4,3,1,5,6,7,8] => [[1,3,5,6,7,8],[2],[4]] => 4
{{1,3,4},{2},{5},{6,7,8}} => [3,2,4,1,5,7,8,6] => [2,4,3,1,5,8,7,6] => [[1,3,5,6],[2,7],[4,8]] => 11
{{1,3,4},{2},{5,6},{7,8}} => [3,2,4,1,6,5,8,7] => [2,4,3,1,6,5,8,7] => [[1,3,5,7],[2,6,8],[4]] => 9
{{1,3,4},{2},{5,7,8},{6}} => [3,2,4,1,7,6,8,5] => [2,4,3,1,6,8,7,5] => [[1,3,5,7],[2,6],[4,8]] => 10
{{1,3,4},{2},{5,8},{6,7}} => [3,2,4,1,8,7,6,5] => [2,4,3,1,7,6,8,5] => [[1,3,5,8],[2,6],[4,7]] => 9
{{1,3,4},{2},{5,6,8},{7}} => [3,2,4,1,6,8,7,5] => [2,4,3,1,7,8,6,5] => [[1,3,5,8],[2,6],[4,7]] => 9
{{1,3,4},{2},{5,6,7,8}} => [3,2,4,1,6,7,8,5] => [2,4,3,1,8,7,6,5] => [[1,3,5],[2,6],[4,7],[8]] => 16
{{1,5},{2},{3,4},{6},{7},{8}} => [5,2,4,3,1,6,7,8] => [2,4,3,5,1,6,7,8] => [[1,3,5,6,7,8],[2],[4]] => 4
{{1,5},{2},{3,4},{6,8},{7}} => [5,2,4,3,1,8,7,6] => [2,4,3,5,1,7,8,6] => [[1,3,5,6,8],[2,7],[4]] => 7
{{1,5,6},{2},{3,4},{7,8}} => [5,2,4,3,6,1,8,7] => [2,4,3,6,5,1,8,7] => [[1,3,5,7],[2,6,8],[4]] => 9
{{1,7,8},{2},{3,4},{5,6}} => [7,2,4,3,6,5,8,1] => [2,4,3,6,5,8,7,1] => [[1,3,5,7],[2,6,8],[4]] => 9
{{1,5,7,8},{2},{3,4},{6}} => [5,2,4,3,7,6,8,1] => [2,4,3,6,8,7,5,1] => [[1,3,5,7],[2,6],[4],[8]] => 13
{{1,8},{2},{3,4},{5,6,7}} => [8,2,4,3,6,7,5,1] => [2,4,3,7,6,5,8,1] => [[1,3,5,8],[2,6],[4],[7]] => 12
{{1,3,5},{2},{4},{6},{7},{8}} => [3,2,5,4,1,6,7,8] => [2,4,5,3,1,6,7,8] => [[1,3,5,6,7,8],[2],[4]] => 4
{{1,3,5},{2},{4},{6},{7,8}} => [3,2,5,4,1,6,8,7] => [2,4,5,3,1,6,8,7] => [[1,3,5,6,7],[2,8],[4]] => 8
{{1,3,5},{2},{4},{6,7},{8}} => [3,2,5,4,1,7,6,8] => [2,4,5,3,1,7,6,8] => [[1,3,5,6,8],[2,7],[4]] => 7
{{1,3,5},{2},{4},{6,8},{7}} => [3,2,5,4,1,8,7,6] => [2,4,5,3,1,7,8,6] => [[1,3,5,6,8],[2,7],[4]] => 7
{{1,3,5},{2},{4},{6,7,8}} => [3,2,5,4,1,7,8,6] => [2,4,5,3,1,8,7,6] => [[1,3,5,6],[2,7],[4,8]] => 11
{{1,6},{2},{3,5},{4},{7,8}} => [6,2,5,4,3,1,8,7] => [2,4,5,3,6,1,8,7] => [[1,3,5,6,7],[2,8],[4]] => 8
{{1,3,7},{2},{4},{5},{6},{8}} => [3,2,7,4,5,6,1,8] => [2,4,5,6,7,3,1,8] => [[1,3,5,6,7,8],[2],[4]] => 4
{{1,3,8},{2},{4},{5},{6},{7}} => [3,2,8,4,5,6,7,1] => [2,4,5,6,7,8,3,1] => [[1,3,5,6,7,8],[2],[4]] => 4
{{1,3,5,6},{2},{4},{7,8}} => [3,2,5,4,6,1,8,7] => [2,4,6,5,3,1,8,7] => [[1,3,5,7],[2,8],[4],[6]] => 12
{{1,7,8},{2},{3,5,6},{4}} => [7,2,5,4,6,3,8,1] => [2,4,6,5,3,8,7,1] => [[1,3,5,7],[2,8],[4],[6]] => 12
{{1,3,7,8},{2},{4},{5,6}} => [3,2,7,4,6,5,8,1] => [2,4,6,5,8,7,3,1] => [[1,3,5,7],[2,8],[4],[6]] => 12
{{1,3,5,7},{2},{4},{6},{8}} => [3,2,5,4,7,6,1,8] => [2,4,6,7,5,3,1,8] => [[1,3,5,7,8],[2],[4],[6]] => 9
{{1,3,5,7,8},{2},{4},{6}} => [3,2,5,4,7,6,8,1] => [2,4,6,8,7,5,3,1] => [[1,3,5,7],[2],[4],[6],[8]] => 16
{{1,3,5,6,8},{2},{4},{7}} => [3,2,5,4,6,8,7,1] => [2,4,7,8,6,5,3,1] => [[1,3,5,8],[2],[4],[6],[7]] => 15
{{1,3,5,6,7,8},{2},{4}} => [3,2,5,4,6,7,8,1] => [2,4,8,7,6,5,3,1] => [[1,3,5],[2],[4],[6],[7],[8]] => 22
{{1,6},{2},{3,4,5},{7,8}} => [6,2,4,5,3,1,8,7] => [2,5,4,3,6,1,8,7] => [[1,3,6,7],[2,8],[4],[5]] => 11
{{1,6,8},{2},{3,4,5},{7}} => [6,2,4,5,3,8,7,1] => [2,5,4,3,7,8,6,1] => [[1,3,6,8],[2,7],[4],[5]] => 10
{{1,7},{2},{3,6},{4,5},{8}} => [7,2,6,5,4,3,1,8] => [2,5,4,6,3,7,1,8] => [[1,3,6,7,8],[2],[4],[5]] => 8
{{1,3,7},{2},{4,5},{6},{8}} => [3,2,7,5,4,6,1,8] => [2,5,4,6,7,3,1,8] => [[1,3,6,7,8],[2],[4],[5]] => 8
{{1,3,8},{2},{4,5},{6,7}} => [3,2,8,5,4,7,6,1] => [2,5,4,7,6,8,3,1] => [[1,3,6,8],[2,7],[4],[5]] => 10
{{1,3,6,8},{2},{4,5},{7}} => [3,2,6,5,4,8,7,1] => [2,5,4,7,8,6,3,1] => [[1,3,6,8],[2,7],[4],[5]] => 10
{{1,3,7},{2},{4,6},{5},{8}} => [3,2,7,6,5,4,1,8] => [2,5,6,4,7,3,1,8] => [[1,3,6,7,8],[2],[4],[5]] => 8
{{1,3,7,8},{2},{4,6},{5}} => [3,2,7,6,5,4,8,1] => [2,5,6,4,8,7,3,1] => [[1,3,6,7],[2,8],[4],[5]] => 11
{{1,8},{2},{3,4,5,6},{7}} => [8,2,4,5,6,3,7,1] => [2,6,5,4,3,7,8,1] => [[1,3,7,8],[2],[4],[5],[6]] => 13
{{1,3,8},{2},{4,5,6},{7}} => [3,2,8,5,6,4,7,1] => [2,6,5,4,7,8,3,1] => [[1,3,7,8],[2],[4],[5],[6]] => 13
{{1,8},{2},{3,4,7},{5,6}} => [8,2,4,7,6,5,3,1] => [2,6,5,7,4,3,8,1] => [[1,3,7,8],[2],[4],[5],[6]] => 13
{{1,3,4,8},{2},{5,7},{6}} => [3,2,4,8,7,6,5,1] => [2,6,7,5,8,4,3,1] => [[1,3,7,8],[2],[4],[5],[6]] => 13
{{1,3,4,5,7,8},{2},{6}} => [3,2,4,5,7,6,8,1] => [2,6,8,7,5,4,3,1] => [[1,3,7],[2],[4],[5],[6],[8]] => 20
{{1,3,4,5,6,7},{2},{8}} => [3,2,4,5,6,7,1,8] => [2,7,6,5,4,3,1,8] => [[1,3,8],[2],[4],[5],[6],[7]] => 19
{{1,8},{2},{3,4,5,6,7}} => [8,2,4,5,6,7,3,1] => [2,7,6,5,4,3,8,1] => [[1,3,8],[2],[4],[5],[6],[7]] => 19
{{1,3,4,5,6,8},{2},{7}} => [3,2,4,5,6,8,7,1] => [2,7,8,6,5,4,3,1] => [[1,3,8],[2],[4],[5],[6],[7]] => 19
{{1,3,4,5,6,7,8},{2}} => [3,2,4,5,6,7,8,1] => [2,8,7,6,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => 26
{{1,2,3},{4},{5},{6},{7},{8}} => [2,3,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => 3
{{1,2,3},{4},{5},{6,7,8}} => [2,3,1,4,5,7,8,6] => [3,2,1,4,5,8,7,6] => [[1,4,5,6],[2,7],[3,8]] => 10
{{1,2,3},{4},{5,8},{6,7}} => [2,3,1,4,8,7,6,5] => [3,2,1,4,7,6,8,5] => [[1,4,5,8],[2,6],[3,7]] => 8
{{1,2,3},{4,5},{6,7},{8}} => [2,3,1,5,4,7,6,8] => [3,2,1,5,4,7,6,8] => [[1,4,6,8],[2,5,7],[3]] => 5
{{1,2,3},{4,6,7},{5},{8}} => [2,3,1,6,5,7,4,8] => [3,2,1,5,7,6,4,8] => [[1,4,6,8],[2,5],[3,7]] => 7
{{1,2,3},{4,6,8},{5},{7}} => [2,3,1,6,5,8,7,4] => [3,2,1,5,7,8,6,4] => [[1,4,6,8],[2,5],[3,7]] => 7
{{1,2,3},{4,8},{5,7},{6}} => [2,3,1,8,7,6,5,4] => [3,2,1,6,7,5,8,4] => [[1,4,7,8],[2,5],[3,6]] => 6
{{1,2,3},{4,5,6,7},{8}} => [2,3,1,5,6,7,4,8] => [3,2,1,7,6,5,4,8] => [[1,4,8],[2,5],[3,6],[7]] => 12
{{1,2,3},{4,8},{5,6,7}} => [2,3,1,8,6,7,5,4] => [3,2,1,7,6,5,8,4] => [[1,4,8],[2,5],[3,6],[7]] => 12
{{1,2,3},{4,5,6,7,8}} => [2,3,1,5,6,7,8,4] => [3,2,1,8,7,6,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => 19
{{1,4},{2,3},{5},{6},{7},{8}} => [4,3,2,1,5,6,7,8] => [3,2,4,1,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => 3
{{1,4},{2,3},{5},{6},{7,8}} => [4,3,2,1,5,6,8,7] => [3,2,4,1,5,6,8,7] => [[1,4,5,6,7],[2,8],[3]] => 7
{{1,4},{2,3},{5},{6,7},{8}} => [4,3,2,1,5,7,6,8] => [3,2,4,1,5,7,6,8] => [[1,4,5,6,8],[2,7],[3]] => 6
{{1,4},{2,3},{5},{6,8},{7}} => [4,3,2,1,5,8,7,6] => [3,2,4,1,5,7,8,6] => [[1,4,5,6,8],[2,7],[3]] => 6
{{1,4},{2,3},{5},{6,7,8}} => [4,3,2,1,5,7,8,6] => [3,2,4,1,5,8,7,6] => [[1,4,5,6],[2,7],[3,8]] => 10
{{1,4},{2,3},{5,6},{7},{8}} => [4,3,2,1,6,5,7,8] => [3,2,4,1,6,5,7,8] => [[1,4,5,7,8],[2,6],[3]] => 5
{{1,4},{2,3},{5,7},{6},{8}} => [4,3,2,1,7,6,5,8] => [3,2,4,1,6,7,5,8] => [[1,4,5,7,8],[2,6],[3]] => 5
{{1,4},{2,3},{5,8},{6},{7}} => [4,3,2,1,8,6,7,5] => [3,2,4,1,6,7,8,5] => [[1,4,5,7,8],[2,6],[3]] => 5
{{1,4},{2,3},{5,7,8},{6}} => [4,3,2,1,7,6,8,5] => [3,2,4,1,6,8,7,5] => [[1,4,5,7],[2,6],[3,8]] => 9
{{1,4},{2,3},{5,6,7},{8}} => [4,3,2,1,6,7,5,8] => [3,2,4,1,7,6,5,8] => [[1,4,5,8],[2,6],[3,7]] => 8
{{1,4},{2,3},{5,6,8},{7}} => [4,3,2,1,6,8,7,5] => [3,2,4,1,7,8,6,5] => [[1,4,5,8],[2,6],[3,7]] => 8
{{1,4},{2,3},{5,6,7,8}} => [4,3,2,1,6,7,8,5] => [3,2,4,1,8,7,6,5] => [[1,4,5],[2,6],[3,7],[8]] => 15
{{1,8},{2,3},{4},{5},{6},{7}} => [8,3,2,4,5,6,7,1] => [3,2,4,5,6,7,8,1] => [[1,4,5,6,7,8],[2],[3]] => 3
{{1,5,7},{2,3},{4},{6},{8}} => [5,3,2,4,7,6,1,8] => [3,2,4,6,7,5,1,8] => [[1,4,5,7,8],[2,6],[3]] => 5
{{1,8},{2,3},{4},{5,6,7}} => [8,3,2,4,6,7,5,1] => [3,2,4,7,6,5,8,1] => [[1,4,5,8],[2,6],[3],[7]] => 11
{{1,5,6,7,8},{2,3},{4}} => [5,3,2,4,6,7,8,1] => [3,2,4,8,7,6,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => 18
{{1,4,5},{2,3},{6,8},{7}} => [4,3,2,5,1,8,7,6] => [3,2,5,4,1,7,8,6] => [[1,4,6,8],[2,5,7],[3]] => 5
{{1,6,7},{2,3},{4,5},{8}} => [6,3,2,5,4,7,1,8] => [3,2,5,4,7,6,1,8] => [[1,4,6,8],[2,5,7],[3]] => 5
{{1,6,8},{2,3},{4,5},{7}} => [6,3,2,5,4,8,7,1] => [3,2,5,4,7,8,6,1] => [[1,4,6,8],[2,5,7],[3]] => 5
{{1,4,6},{2,3},{5},{7,8}} => [4,3,2,6,5,1,8,7] => [3,2,5,6,4,1,8,7] => [[1,4,6,7],[2,5,8],[3]] => 6
{{1,4,6,7},{2,3},{5},{8}} => [4,3,2,6,5,7,1,8] => [3,2,5,7,6,4,1,8] => [[1,4,6,8],[2,5],[3],[7]] => 10
{{1,8},{2,3},{4,6,7},{5}} => [8,3,2,6,5,7,4,1] => [3,2,5,7,6,4,8,1] => [[1,4,6,8],[2,5],[3],[7]] => 10
{{1,4,8},{2,3},{5},{6,7}} => [4,3,2,8,5,7,6,1] => [3,2,5,7,6,8,4,1] => [[1,4,6,8],[2,5],[3],[7]] => 10
{{1,4,6,8},{2,3},{5},{7}} => [4,3,2,6,5,8,7,1] => [3,2,5,7,8,6,4,1] => [[1,4,6,8],[2,5],[3],[7]] => 10
{{1,4,5,6},{2,3},{7,8}} => [4,3,2,5,6,1,8,7] => [3,2,6,5,4,1,8,7] => [[1,4,7],[2,5,8],[3],[6]] => 10
{{1,4,5,7},{2,3},{6},{8}} => [4,3,2,5,7,6,1,8] => [3,2,6,7,5,4,1,8] => [[1,4,7,8],[2,5],[3],[6]] => 9
{{1,8},{2,3},{4,5,7},{6}} => [8,3,2,5,7,6,4,1] => [3,2,6,7,5,4,8,1] => [[1,4,7,8],[2,5],[3],[6]] => 9
{{1,4,5,7,8},{2,3},{6}} => [4,3,2,5,7,6,8,1] => [3,2,6,8,7,5,4,1] => [[1,4,7],[2,5],[3],[6],[8]] => 16
{{1,4,5,6,7},{2,3},{8}} => [4,3,2,5,6,7,1,8] => [3,2,7,6,5,4,1,8] => [[1,4,8],[2,5],[3],[6],[7]] => 15
{{1,4,5,6,8},{2,3},{7}} => [4,3,2,5,6,8,7,1] => [3,2,7,8,6,5,4,1] => [[1,4,8],[2,5],[3],[6],[7]] => 15
{{1,4,5,6,7,8},{2,3}} => [4,3,2,5,6,7,8,1] => [3,2,8,7,6,5,4,1] => [[1,4],[2,5],[3],[6],[7],[8]] => 22
{{1,2,4},{3},{5,6},{7,8}} => [2,4,3,1,6,5,8,7] => [3,4,2,1,6,5,8,7] => [[1,4,5,7],[2,6,8],[3]] => 8
{{1,2,4},{3},{5,7,8},{6}} => [2,4,3,1,7,6,8,5] => [3,4,2,1,6,8,7,5] => [[1,4,5,7],[2,6],[3,8]] => 9
{{1,2,4},{3},{5,8},{6,7}} => [2,4,3,1,8,7,6,5] => [3,4,2,1,7,6,8,5] => [[1,4,5,8],[2,6],[3,7]] => 8
{{1,2,4},{3},{5,6,8},{7}} => [2,4,3,1,6,8,7,5] => [3,4,2,1,7,8,6,5] => [[1,4,5,8],[2,6],[3,7]] => 8
{{1,2,4},{3},{5,6,7,8}} => [2,4,3,1,6,7,8,5] => [3,4,2,1,8,7,6,5] => [[1,4,5],[2,6],[3,7],[8]] => 15
{{1,5},{2,4},{3},{6},{7},{8}} => [5,4,3,2,1,6,7,8] => [3,4,2,5,1,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => 3
{{1,5},{2,4},{3},{6,8},{7}} => [5,4,3,2,1,8,7,6] => [3,4,2,5,1,7,8,6] => [[1,4,5,6,8],[2,7],[3]] => 6
{{1,5},{2,4},{3},{6,7,8}} => [5,4,3,2,1,7,8,6] => [3,4,2,5,1,8,7,6] => [[1,4,5,6],[2,7],[3,8]] => 10
{{1,8},{2,4},{3},{5},{6},{7}} => [8,4,3,2,5,6,7,1] => [3,4,2,5,6,7,8,1] => [[1,4,5,6,7,8],[2],[3]] => 3
{{1,8},{2,4},{3},{5},{6,7}} => [8,4,3,2,5,7,6,1] => [3,4,2,5,7,6,8,1] => [[1,4,5,6,8],[2,7],[3]] => 6
{{1,5,6},{2,4},{3},{7,8}} => [5,4,3,2,6,1,8,7] => [3,4,2,6,5,1,8,7] => [[1,4,5,7],[2,6,8],[3]] => 8
{{1,5,7},{2,4},{3},{6},{8}} => [5,4,3,2,7,6,1,8] => [3,4,2,6,7,5,1,8] => [[1,4,5,7,8],[2,6],[3]] => 5
{{1,8},{2,4},{3},{5,7},{6}} => [8,4,3,2,7,6,5,1] => [3,4,2,6,7,5,8,1] => [[1,4,5,7,8],[2,6],[3]] => 5
{{1,8},{2,4},{3},{5,6,7}} => [8,4,3,2,6,7,5,1] => [3,4,2,7,6,5,8,1] => [[1,4,5,8],[2,6],[3],[7]] => 11
{{1,5,6,8},{2,4},{3},{7}} => [5,4,3,2,6,8,7,1] => [3,4,2,7,8,6,5,1] => [[1,4,5,8],[2,6],[3],[7]] => 11
{{1,5,6,7,8},{2,4},{3}} => [5,4,3,2,6,7,8,1] => [3,4,2,8,7,6,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => 18
{{1,8},{2,5},{3},{4},{6},{7}} => [8,5,3,4,2,6,7,1] => [3,4,5,2,6,7,8,1] => [[1,4,5,6,7,8],[2],[3]] => 3
{{1,2,8},{3},{4},{5},{6},{7}} => [2,8,3,4,5,6,7,1] => [3,4,5,6,7,8,2,1] => [[1,4,5,6,7,8],[2],[3]] => 3
{{1,8},{2,5,7},{3},{4},{6}} => [8,5,3,4,7,6,2,1] => [3,4,6,7,5,2,8,1] => [[1,4,5,7,8],[2],[3],[6]] => 8
{{1,2,5,6,7},{3},{4},{8}} => [2,5,3,4,6,7,1,8] => [3,4,7,6,5,2,1,8] => [[1,4,5,8],[2],[3],[6],[7]] => 14
{{1,8},{2,5,6,7},{3},{4}} => [8,5,3,4,6,7,2,1] => [3,4,7,6,5,2,8,1] => [[1,4,5,8],[2],[3],[6],[7]] => 14
{{1,8},{2,4,5},{3},{6,7}} => [8,4,3,5,2,7,6,1] => [3,5,4,2,7,6,8,1] => [[1,4,6,8],[2,7],[3],[5]] => 9
{{1,7},{2,6},{3},{4,5},{8}} => [7,6,3,5,4,2,1,8] => [3,5,4,6,2,7,1,8] => [[1,4,6,7,8],[2],[3],[5]] => 7
{{1,8},{2,6,7},{3},{4,5}} => [8,6,3,5,4,7,2,1] => [3,5,4,7,6,2,8,1] => [[1,4,6,8],[2,7],[3],[5]] => 9
{{1,2,8},{3},{4,5},{6,7}} => [2,8,3,5,4,7,6,1] => [3,5,4,7,6,8,2,1] => [[1,4,6,8],[2,7],[3],[5]] => 9
{{1,2,6,8},{3},{4,5},{7}} => [2,6,3,5,4,8,7,1] => [3,5,4,7,8,6,2,1] => [[1,4,6,8],[2,7],[3],[5]] => 9
{{1,2,4,6},{3},{5},{7,8}} => [2,4,3,6,5,1,8,7] => [3,5,6,4,2,1,8,7] => [[1,4,6,7],[2,8],[3],[5]] => 10
{{1,7},{2,4,6},{3},{5},{8}} => [7,4,3,6,5,2,1,8] => [3,5,6,4,2,7,1,8] => [[1,4,6,7,8],[2],[3],[5]] => 7
{{1,7,8},{2,4,6},{3},{5}} => [7,4,3,6,5,2,8,1] => [3,5,6,4,2,8,7,1] => [[1,4,6,7],[2,8],[3],[5]] => 10
{{1,8},{2,4,7},{3},{5},{6}} => [8,4,3,7,5,6,2,1] => [3,5,6,7,4,2,8,1] => [[1,4,6,7,8],[2],[3],[5]] => 7
{{1,2,4,7,8},{3},{5},{6}} => [2,4,3,7,5,6,8,1] => [3,5,6,8,7,4,2,1] => [[1,4,6,7],[2],[3],[5],[8]] => 14
{{1,2,4,8},{3},{5},{6,7}} => [2,4,3,8,5,7,6,1] => [3,5,7,6,8,4,2,1] => [[1,4,6,8],[2],[3],[5],[7]] => 13
{{1,2,4,6,8},{3},{5},{7}} => [2,4,3,6,5,8,7,1] => [3,5,7,8,6,4,2,1] => [[1,4,6,8],[2],[3],[5],[7]] => 13
{{1,2,4,6,7,8},{3},{5}} => [2,4,3,6,5,7,8,1] => [3,5,8,7,6,4,2,1] => [[1,4,6],[2],[3],[5],[7],[8]] => 20
{{1,2,4,5,6},{3},{7,8}} => [2,4,3,5,6,1,8,7] => [3,6,5,4,2,1,8,7] => [[1,4,7],[2,8],[3],[5],[6]] => 14
{{1,8},{2,7},{3},{4,5,6}} => [8,7,3,5,6,4,2,1] => [3,6,5,4,7,2,8,1] => [[1,4,7,8],[2],[3],[5],[6]] => 12
{{1,2,4,5,7,8},{3},{6}} => [2,4,3,5,7,6,8,1] => [3,6,8,7,5,4,2,1] => [[1,4,7],[2],[3],[5],[6],[8]] => 19
{{1,2,4,5,8},{3},{6,7}} => [2,4,3,5,8,7,6,1] => [3,7,6,8,5,4,2,1] => [[1,4,8],[2],[3],[5],[6],[7]] => 18
{{1,2,4,5,6,8},{3},{7}} => [2,4,3,5,6,8,7,1] => [3,7,8,6,5,4,2,1] => [[1,4,8],[2],[3],[5],[6],[7]] => 18
{{1,2,4,5,6,7,8},{3}} => [2,4,3,5,6,7,8,1] => [3,8,7,6,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => 25
{{1,2,3,4},{5},{6},{7},{8}} => [2,3,4,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => 6
{{1,2,3,4},{5},{6,7},{8}} => [2,3,4,1,5,7,6,8] => [4,3,2,1,5,7,6,8] => [[1,5,6,8],[2,7],[3],[4]] => 8
{{1,2,3,4},{5,6},{7},{8}} => [2,3,4,1,6,5,7,8] => [4,3,2,1,6,5,7,8] => [[1,5,7,8],[2,6],[3],[4]] => 7
{{1,2,3,4},{5,6},{7,8}} => [2,3,4,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => [[1,5,7],[2,6,8],[3],[4]] => 8
{{1,2,3,4},{5,7,8},{6}} => [2,3,4,1,7,6,8,5] => [4,3,2,1,6,8,7,5] => [[1,5,7],[2,6],[3,8],[4]] => 10
{{1,2,3,4},{5,6,7},{8}} => [2,3,4,1,6,7,5,8] => [4,3,2,1,7,6,5,8] => [[1,5,8],[2,6],[3,7],[4]] => 9
{{1,2,3,4},{5,8},{6,7}} => [2,3,4,1,8,7,6,5] => [4,3,2,1,7,6,8,5] => [[1,5,8],[2,6],[3,7],[4]] => 9
{{1,2,3,4},{5,6,8},{7}} => [2,3,4,1,6,8,7,5] => [4,3,2,1,7,8,6,5] => [[1,5,8],[2,6],[3,7],[4]] => 9
{{1,2,3,4},{5,6,7,8}} => [2,3,4,1,6,7,8,5] => [4,3,2,1,8,7,6,5] => [[1,5],[2,6],[3,7],[4,8]] => 12
{{1,5},{2,3,4},{6},{7},{8}} => [5,3,4,2,1,6,7,8] => [4,3,2,5,1,6,7,8] => [[1,5,6,7,8],[2],[3],[4]] => 6
{{1,5},{2,3,4},{6,8},{7}} => [5,3,4,2,1,8,7,6] => [4,3,2,5,1,7,8,6] => [[1,5,6,8],[2,7],[3],[4]] => 8
{{1,5},{2,3,4},{6,7,8}} => [5,3,4,2,1,7,8,6] => [4,3,2,5,1,8,7,6] => [[1,5,6],[2,7],[3,8],[4]] => 11
{{1,6},{2,3,4},{5},{7,8}} => [6,3,4,2,5,1,8,7] => [4,3,2,5,6,1,8,7] => [[1,5,6,7],[2,8],[3],[4]] => 9
{{1,8},{2,3,4},{5},{6},{7}} => [8,3,4,2,5,6,7,1] => [4,3,2,5,6,7,8,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
{{1,8},{2,3,4},{5,6},{7}} => [8,3,4,2,6,5,7,1] => [4,3,2,6,5,7,8,1] => [[1,5,7,8],[2,6],[3],[4]] => 7
{{1,5,7},{2,3,4},{6},{8}} => [5,3,4,2,7,6,1,8] => [4,3,2,6,7,5,1,8] => [[1,5,7,8],[2,6],[3],[4]] => 7
{{1,5,6,7,8},{2,3,4}} => [5,3,4,2,6,7,8,1] => [4,3,2,8,7,6,5,1] => [[1,5],[2,6],[3,7],[4],[8]] => 16
{{1,2,5},{3,4},{6},{7,8}} => [2,5,4,3,1,6,8,7] => [4,3,5,2,1,6,8,7] => [[1,5,6,7],[2,8],[3],[4]] => 9
{{1,6,7},{2,5},{3,4},{8}} => [6,5,4,3,2,7,1,8] => [4,3,5,2,7,6,1,8] => [[1,5,6,8],[2,7],[3],[4]] => 8
{{1,2,6},{3,4},{5},{7,8}} => [2,6,4,3,5,1,8,7] => [4,3,5,6,2,1,8,7] => [[1,5,6,7],[2,8],[3],[4]] => 9
{{1,7},{2,6},{3,4},{5},{8}} => [7,6,4,3,5,2,1,8] => [4,3,5,6,2,7,1,8] => [[1,5,6,7,8],[2],[3],[4]] => 6
{{1,8},{2,6},{3,4},{5},{7}} => [8,6,4,3,5,2,7,1] => [4,3,5,6,2,7,8,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
{{1,7,8},{2,5,6},{3,4}} => [7,5,4,3,6,2,8,1] => [4,3,6,5,2,8,7,1] => [[1,5,7],[2,6,8],[3],[4]] => 8
{{1,2,8},{3,4},{5,6},{7}} => [2,8,4,3,6,5,7,1] => [4,3,6,5,7,8,2,1] => [[1,5,7,8],[2,6],[3],[4]] => 7
{{1,2,7,8},{3,4},{5,6}} => [2,7,4,3,6,5,8,1] => [4,3,6,5,8,7,2,1] => [[1,5,7],[2,6,8],[3],[4]] => 8
{{1,2,5,8},{3,4},{6},{7}} => [2,5,4,3,8,6,7,1] => [4,3,6,7,8,5,2,1] => [[1,5,7,8],[2,6],[3],[4]] => 7
{{1,2,5,6,7,8},{3,4}} => [2,5,4,3,6,7,8,1] => [4,3,8,7,6,5,2,1] => [[1,5],[2,6],[3],[4],[7],[8]] => 20
{{1,2,3,5},{4},{6},{7,8}} => [2,3,5,4,1,6,8,7] => [4,5,3,2,1,6,8,7] => [[1,5,6,7],[2,8],[3],[4]] => 9
{{1,6,7},{2,3,5},{4},{8}} => [6,3,5,4,2,7,1,8] => [4,5,3,2,7,6,1,8] => [[1,5,6,8],[2,7],[3],[4]] => 8
{{1,2,6},{3,5},{4},{7,8}} => [2,6,5,4,3,1,8,7] => [4,5,3,6,2,1,8,7] => [[1,5,6,7],[2,8],[3],[4]] => 9
{{1,7},{2,6},{3,5},{4},{8}} => [7,6,5,4,3,2,1,8] => [4,5,3,6,2,7,1,8] => [[1,5,6,7,8],[2],[3],[4]] => 6
{{1,7,8},{2,6},{3,5},{4}} => [7,6,5,4,3,2,8,1] => [4,5,3,6,2,8,7,1] => [[1,5,6,7],[2,8],[3],[4]] => 9
{{1,2,7,8},{3,5},{4},{6}} => [2,7,5,4,3,6,8,1] => [4,5,3,6,8,7,2,1] => [[1,5,6,7],[2,8],[3],[4]] => 9
{{1,2,3,6},{4},{5},{7,8}} => [2,3,6,4,5,1,8,7] => [4,5,6,3,2,1,8,7] => [[1,5,6,7],[2,8],[3],[4]] => 9
{{1,2,7,8},{3,6},{4},{5}} => [2,7,6,4,5,3,8,1] => [4,5,6,3,8,7,2,1] => [[1,5,6,7],[2,8],[3],[4]] => 9
{{1,2,3,8},{4},{5},{6},{7}} => [2,3,8,4,5,6,7,1] => [4,5,6,7,8,3,2,1] => [[1,5,6,7,8],[2],[3],[4]] => 6
{{1,2,3,7,8},{4},{5},{6}} => [2,3,7,4,5,6,8,1] => [4,5,6,8,7,3,2,1] => [[1,5,6,7],[2],[3],[4],[8]] => 13
{{1,2,3,6,7,8},{4},{5}} => [2,3,6,4,5,7,8,1] => [4,5,8,7,6,3,2,1] => [[1,5,6],[2],[3],[4],[7],[8]] => 19
{{1,8},{2,7},{3,5,6},{4}} => [8,7,5,4,6,3,2,1] => [4,6,5,3,7,2,8,1] => [[1,5,7,8],[2],[3],[4],[6]] => 11
{{1,8},{2,3,7},{4},{5,6}} => [8,3,7,4,6,5,2,1] => [4,6,5,7,3,2,8,1] => [[1,5,7,8],[2],[3],[4],[6]] => 11
{{1,8},{2,3,5,7},{4},{6}} => [8,3,5,4,7,6,2,1] => [4,6,7,5,3,2,8,1] => [[1,5,7,8],[2],[3],[4],[6]] => 11
{{1,2,3,5,7,8},{4},{6}} => [2,3,5,4,7,6,8,1] => [4,6,8,7,5,3,2,1] => [[1,5,7],[2],[3],[4],[6],[8]] => 18
{{1,2,3,5,6,7},{4},{8}} => [2,3,5,4,6,7,1,8] => [4,7,6,5,3,2,1,8] => [[1,5,8],[2],[3],[4],[6],[7]] => 17
{{1,8},{2,3,5,6,7},{4}} => [8,3,5,4,6,7,2,1] => [4,7,6,5,3,2,8,1] => [[1,5,8],[2],[3],[4],[6],[7]] => 17
{{1,2,3,8},{4},{5,6,7}} => [2,3,8,4,6,7,5,1] => [4,7,6,5,8,3,2,1] => [[1,5,8],[2],[3],[4],[6],[7]] => 17
{{1,2,3,5,6,7,8},{4}} => [2,3,5,4,6,7,8,1] => [4,8,7,6,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => 24
{{1,2,3,4,5},{6},{7},{8}} => [2,3,4,5,1,6,7,8] => [5,4,3,2,1,6,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => 10
{{1,2,3,4,5},{6,7},{8}} => [2,3,4,5,1,7,6,8] => [5,4,3,2,1,7,6,8] => [[1,6,8],[2,7],[3],[4],[5]] => 11
{{1,2,3,4,5},{6,8},{7}} => [2,3,4,5,1,8,7,6] => [5,4,3,2,1,7,8,6] => [[1,6,8],[2,7],[3],[4],[5]] => 11
{{1,2,3,4,5},{6,7,8}} => [2,3,4,5,1,7,8,6] => [5,4,3,2,1,8,7,6] => [[1,6],[2,7],[3,8],[4],[5]] => 13
{{1,6,7,8},{2,3,4,5}} => [6,3,4,5,2,7,8,1] => [5,4,3,2,8,7,6,1] => [[1,6],[2,7],[3,8],[4],[5]] => 13
{{1,2,6},{3,4,5},{7},{8}} => [2,6,4,5,3,1,7,8] => [5,4,3,6,2,1,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => 10
{{1,2,6},{3,4,5},{7,8}} => [2,6,4,5,3,1,8,7] => [5,4,3,6,2,1,8,7] => [[1,6,7],[2,8],[3],[4],[5]] => 12
{{1,7},{2,6},{3,4,5},{8}} => [7,6,4,5,3,2,1,8] => [5,4,3,6,2,7,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => 10
{{1,8},{2,6},{3,4,5},{7}} => [8,6,4,5,3,2,7,1] => [5,4,3,6,2,7,8,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
{{1,7,8},{2,6},{3,4,5}} => [7,6,4,5,3,2,8,1] => [5,4,3,6,2,8,7,1] => [[1,6,7],[2,8],[3],[4],[5]] => 12
{{1,2,6,7,8},{3,4,5}} => [2,6,4,5,3,7,8,1] => [5,4,3,8,7,6,2,1] => [[1,6],[2,7],[3,8],[4],[5]] => 13
{{1,2,3,6},{4,5},{7},{8}} => [2,3,6,5,4,1,7,8] => [5,4,6,3,2,1,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => 10
{{1,2,3,6},{4,5},{7,8}} => [2,3,6,5,4,1,8,7] => [5,4,6,3,2,1,8,7] => [[1,6,7],[2,8],[3],[4],[5]] => 12
{{1,7,8},{2,3,6},{4,5}} => [7,3,6,5,4,2,8,1] => [5,4,6,3,2,8,7,1] => [[1,6,7],[2,8],[3],[4],[5]] => 12
{{1,2,7},{3,6},{4,5},{8}} => [2,7,6,5,4,3,1,8] => [5,4,6,3,7,2,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => 10
{{1,2,3,7},{4,5},{6},{8}} => [2,3,7,5,4,6,1,8] => [5,4,6,7,3,2,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => 10
{{1,2,8},{3,7},{4,5},{6}} => [2,8,7,5,4,6,3,1] => [5,4,6,7,3,8,2,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
{{1,2,3,8},{4,5},{6},{7}} => [2,3,8,5,4,6,7,1] => [5,4,6,7,8,3,2,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
{{1,2,3,4,6},{5},{7},{8}} => [2,3,4,6,5,1,7,8] => [5,6,4,3,2,1,7,8] => [[1,6,7,8],[2],[3],[4],[5]] => 10
{{1,2,7},{3,4,6},{5},{8}} => [2,7,4,6,5,3,1,8] => [5,6,4,3,7,2,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => 10
{{1,2,3,7},{4,6},{5},{8}} => [2,3,7,6,5,4,1,8] => [5,6,4,7,3,2,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => 10
{{1,2,3,8},{4,6},{5},{7}} => [2,3,8,6,5,4,7,1] => [5,6,4,7,8,3,2,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
{{1,2,3,7,8},{4,6},{5}} => [2,3,7,6,5,4,8,1] => [5,6,4,8,7,3,2,1] => [[1,6,7],[2,8],[3],[4],[5]] => 12
{{1,2,3,4,7},{5},{6},{8}} => [2,3,4,7,5,6,1,8] => [5,6,7,4,3,2,1,8] => [[1,6,7,8],[2],[3],[4],[5]] => 10
{{1,2,3,4,8},{5},{6},{7}} => [2,3,4,8,5,6,7,1] => [5,6,7,8,4,3,2,1] => [[1,6,7,8],[2],[3],[4],[5]] => 10
{{1,2,3,4,7,8},{5},{6}} => [2,3,4,7,5,6,8,1] => [5,6,8,7,4,3,2,1] => [[1,6,7],[2],[3],[4],[5],[8]] => 17
{{1,2,3,4,6,7},{5},{8}} => [2,3,4,6,5,7,1,8] => [5,7,6,4,3,2,1,8] => [[1,6,8],[2],[3],[4],[5],[7]] => 16
{{1,2,3,4,8},{5},{6,7}} => [2,3,4,8,5,7,6,1] => [5,7,6,8,4,3,2,1] => [[1,6,8],[2],[3],[4],[5],[7]] => 16
{{1,2,3,4,6,8},{5},{7}} => [2,3,4,6,5,8,7,1] => [5,7,8,6,4,3,2,1] => [[1,6,8],[2],[3],[4],[5],[7]] => 16
{{1,2,3,4,6,7,8},{5}} => [2,3,4,6,5,7,8,1] => [5,8,7,6,4,3,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => 23
{{1,2,3,4,5,6},{7},{8}} => [2,3,4,5,6,1,7,8] => [6,5,4,3,2,1,7,8] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
{{1,2,3,4,5,6},{7,8}} => [2,3,4,5,6,1,8,7] => [6,5,4,3,2,1,8,7] => [[1,7],[2,8],[3],[4],[5],[6]] => 16
{{1,7},{2,3,4,5,6},{8}} => [7,3,4,5,6,2,1,8] => [6,5,4,3,2,7,1,8] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
{{1,7,8},{2,3,4,5,6}} => [7,3,4,5,6,2,8,1] => [6,5,4,3,2,8,7,1] => [[1,7],[2,8],[3],[4],[5],[6]] => 16
{{1,2,7,8},{3,4,5,6}} => [2,7,4,5,6,3,8,1] => [6,5,4,3,8,7,2,1] => [[1,7],[2,8],[3],[4],[5],[6]] => 16
{{1,2,8},{3,7},{4,5,6}} => [2,8,7,5,6,4,3,1] => [6,5,4,7,3,8,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
{{1,2,3,8},{4,5,6},{7}} => [2,3,8,5,6,4,7,1] => [6,5,4,7,8,3,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
{{1,2,3,4,7},{5,6},{8}} => [2,3,4,7,6,5,1,8] => [6,5,7,4,3,2,1,8] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
{{1,8},{2,3,4,7},{5,6}} => [8,3,4,7,6,5,2,1] => [6,5,7,4,3,2,8,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
{{1,2,8},{3,4,7},{5,6}} => [2,8,4,7,6,5,3,1] => [6,5,7,4,3,8,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
{{1,2,3,8},{4,7},{5,6}} => [2,3,8,7,6,5,4,1] => [6,5,7,4,8,3,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
{{1,2,3,4,8},{5,6},{7}} => [2,3,4,8,6,5,7,1] => [6,5,7,8,4,3,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
{{1,2,3,4,7,8},{5,6}} => [2,3,4,7,6,5,8,1] => [6,5,8,7,4,3,2,1] => [[1,7],[2,8],[3],[4],[5],[6]] => 16
{{1,2,3,4,5,7},{6},{8}} => [2,3,4,5,7,6,1,8] => [6,7,5,4,3,2,1,8] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
{{1,8},{2,3,4,5,7},{6}} => [8,3,4,5,7,6,2,1] => [6,7,5,4,3,2,8,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
{{1,2,3,8},{4,5,7},{6}} => [2,3,8,5,7,6,4,1] => [6,7,5,4,8,3,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
{{1,2,3,4,8},{5,7},{6}} => [2,3,4,8,7,6,5,1] => [6,7,5,8,4,3,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
{{1,2,3,4,5,8},{6},{7}} => [2,3,4,5,8,6,7,1] => [6,7,8,5,4,3,2,1] => [[1,7,8],[2],[3],[4],[5],[6]] => 15
{{1,2,3,4,5,7,8},{6}} => [2,3,4,5,7,6,8,1] => [6,8,7,5,4,3,2,1] => [[1,7],[2],[3],[4],[5],[6],[8]] => 22
{{1,2,3,4,5,6,7},{8}} => [2,3,4,5,6,7,1,8] => [7,6,5,4,3,2,1,8] => [[1,8],[2],[3],[4],[5],[6],[7]] => 21
{{1,8},{2,3,4,5,6,7}} => [8,3,4,5,6,7,2,1] => [7,6,5,4,3,2,8,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => 21
{{1,2,3,8},{4,5,6,7}} => [2,3,8,5,6,7,4,1] => [7,6,5,4,8,3,2,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => 21
{{1,2,3,4,8},{5,6,7}} => [2,3,4,8,6,7,5,1] => [7,6,5,8,4,3,2,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => 21
{{1,2,3,4,5,8},{6,7}} => [2,3,4,5,8,7,6,1] => [7,6,8,5,4,3,2,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => 21
{{1,2,3,4,5,6,8},{7}} => [2,3,4,5,6,8,7,1] => [7,8,6,5,4,3,2,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => 21
{{1,2,3,4,5,6,7,8}} => [2,3,4,5,6,7,8,1] => [8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 28
{{1,3,5,6,7,8},{2,4}} => [3,4,5,2,6,7,8,1] => [8,7,6,5,2,4,3,1] => [[1,3],[2],[4],[5],[6],[7],[8]] => 26
{{1,2,4,6,7,8},{3,5}} => [2,4,5,6,3,7,8,1] => [8,7,6,3,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => 25
{{1,2,4,5,7,8},{3,6}} => [2,4,6,5,7,3,8,1] => [8,7,5,3,6,4,2,1] => [[1,4],[2,6],[3],[5],[7],[8]] => 21
{{1,2,3,5,7,8},{4,6}} => [2,3,5,6,7,4,8,1] => [8,7,4,6,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7],[8]] => 24
{{1,3,4,5,6,8},{2,7}} => [3,7,4,5,6,8,2,1] => [8,6,5,4,2,7,3,1] => [[1,3],[2,7],[4],[5],[6],[8]] => 21
{{1,2,3,5,6,8},{4,7}} => [2,3,5,7,6,8,4,1] => [8,6,4,7,5,3,2,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 19
{{1,2,3,4,6,8},{5,7}} => [2,3,4,6,7,8,5,1] => [8,5,7,6,4,3,2,1] => [[1,6],[2],[3],[4],[5],[7],[8]] => 23
{{1,2,4,5,6,7},{3,8}} => [2,4,8,5,6,7,1,3] => [7,6,5,2,1,8,4,3] => [[1,3],[2,4],[5,8],[6],[7]] => 21
{{1,2,3,5,6,7},{4,8}} => [2,3,5,8,6,7,1,4] => [7,6,3,2,1,8,5,4] => [[1,4],[2,5],[3,8],[6],[7]] => 17
{{1,2,3,4,6,7},{5,8}} => [2,3,4,6,8,7,1,5] => [7,4,3,2,1,8,6,5] => [[1,5],[2,6],[3,8],[4],[7]] => 15
{{1,2,3,4,5,7},{6,8}} => [2,3,4,5,7,8,1,6] => [8,5,4,3,2,1,7,6] => [[1,6],[2,7],[3],[4],[5],[8]] => 18
{{1,2,5,7,8},{3,4,6}} => [2,5,4,6,7,3,8,1] => [8,7,4,3,6,5,2,1] => [[1,5],[2,6],[3],[4],[7],[8]] => 20
{{1,3,4,7,8},{2,5,6}} => [3,5,4,7,6,2,8,1] => [6,4,2,8,7,5,3,1] => [[1,3],[2,5],[4,7],[6],[8]] => 19
{{1,2,5,6,8},{3,4,7}} => [2,5,4,7,6,8,3,1] => [8,6,4,3,7,5,2,1] => [[1,5],[2,7],[3],[4],[6],[8]] => 19
{{1,2,4,6,8},{3,5,7}} => [2,4,5,6,7,8,3,1] => [8,3,7,6,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7],[8]] => 25
{{1,2,4,5,8},{3,6,7}} => [2,4,6,5,8,7,3,1] => [7,5,3,8,6,4,2,1] => [[1,4],[2,6],[3,8],[5],[7]] => 16
{{1,2,3,5,8},{4,6,7}} => [2,3,5,6,8,7,4,1] => [7,4,8,6,5,3,2,1] => [[1,5],[2,8],[3],[4],[6],[7]] => 18
{{1,3,5,6,7},{2,4,8}} => [3,4,5,8,6,7,1,2] => [7,6,1,8,5,4,3,2] => [[1,2],[3,8],[4],[5],[6],[7]] => 22
{{1,3,4,6,7},{2,5,8}} => [3,5,4,6,8,7,1,2] => [7,4,1,8,6,5,3,2] => [[1,2],[3,5],[4,8],[6],[7]] => 21
{{1,2,4,6,7},{3,5,8}} => [2,4,5,6,8,7,1,3] => [7,2,1,8,6,5,4,3] => [[1,3],[2,4],[5,8],[6],[7]] => 21
{{1,2,3,6,7},{4,5,8}} => [2,3,6,5,8,7,1,4] => [7,5,3,2,1,8,6,4] => [[1,4],[2,6],[3,8],[5],[7]] => 16
{{1,2,4,5,7},{3,6,8}} => [2,4,6,5,7,8,1,3] => [8,5,2,1,7,6,4,3] => [[1,3],[2,4],[5,6],[7],[8]] => 23
{{1,2,3,5,7},{4,6,8}} => [2,3,5,6,7,8,1,4] => [8,3,2,1,7,6,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => 19
{{1,2,3,4,7},{5,6,8}} => [2,3,4,7,6,8,1,5] => [8,6,4,3,2,1,7,5] => [[1,5],[2,7],[3],[4],[6],[8]] => 19
{{1,2,3,5,6},{4,7,8}} => [2,3,5,7,6,1,8,4] => [6,3,2,1,8,7,5,4] => [[1,4],[2,5],[3,7],[6,8]] => 14
{{1,3,6,7,8},{2,5},{4}} => [3,5,6,4,2,7,8,1] => [4,8,7,6,2,5,3,1] => [[1,3],[2,5],[4],[6],[7],[8]] => 23
{{1,3,4,7,8},{2,6},{5}} => [3,6,4,7,5,2,8,1] => [5,8,7,4,2,6,3,1] => [[1,3],[2,6],[4,7],[5],[8]] => 18
{{1,2,4,7,8},{3,6},{5}} => [2,4,6,7,5,3,8,1] => [5,8,7,3,6,4,2,1] => [[1,4],[2,6],[3],[5],[7],[8]] => 21
{{1,3,4,7,8},{2,5},{6}} => [3,5,4,7,2,6,8,1] => [6,8,7,4,2,5,3,1] => [[1,3],[2,5],[4,7],[6],[8]] => 19
{{1,2,5,6,8},{3,7},{4}} => [2,5,7,4,6,8,3,1] => [4,8,6,3,7,5,2,1] => [[1,5,7],[2,6],[3],[4],[8]] => 14
{{1,3,4,5,8},{2,7},{6}} => [3,7,4,5,8,6,2,1] => [6,8,5,4,2,7,3,1] => [[1,3],[2,7],[4,8],[5],[6]] => 16
{{1,3,4,6,8},{2,5},{7}} => [3,5,4,6,2,8,7,1] => [7,8,6,4,2,5,3,1] => [[1,3],[2,5],[4,8],[6],[7]] => 18
{{1,2,4,5,8},{3,6},{7}} => [2,4,6,5,8,3,7,1] => [7,8,5,3,6,4,2,1] => [[1,4],[2,6],[3,8],[5],[7]] => 16
{{1,3,4,6,7},{2,8},{5}} => [3,8,4,6,5,7,1,2] => [5,7,6,4,1,8,3,2] => [[1,2,8],[3,6],[4],[5],[7]] => 17
{{1,2,4,5,7},{3,8},{6}} => [2,4,8,5,7,6,1,3] => [6,7,5,2,1,8,4,3] => [[1,3,8],[2,4],[5,7],[6]] => 15
{{1,2,3,5,6},{4,8},{7}} => [2,3,5,8,6,1,7,4] => [6,3,2,1,7,8,5,4] => [[1,4,8],[2,5],[3,7],[6]] => 11
{{1,2,3,4,6},{5,8},{7}} => [2,3,4,6,8,1,7,5] => [7,8,4,3,2,1,6,5] => [[1,5],[2,6],[3,8],[4],[7]] => 15
{{1,3,4,6,7},{2,5},{8}} => [3,5,4,6,2,7,1,8] => [7,6,4,2,5,3,1,8] => [[1,3,8],[2,5],[4],[6],[7]] => 16
{{1,2,4,6,7},{3,5},{8}} => [2,4,5,6,3,7,1,8] => [7,6,3,5,4,2,1,8] => [[1,4,8],[2],[3],[5],[6],[7]] => 18
{{1,2,3,4,6},{5,7},{8}} => [2,3,4,6,7,1,5,8] => [7,4,3,2,1,6,5,8] => [[1,5,8],[2,6],[3],[4],[7]] => 13
{{1,3,5,7},{2,4,6,8}} => [3,4,5,6,7,8,1,2] => [8,1,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8]] => 27
{{1,3,4,7},{2,5,6,8}} => [3,5,4,7,6,8,1,2] => [8,6,4,1,7,5,3,2] => [[1,2],[3,5],[4,7],[6],[8]] => 22
{{1,2,3,7},{4,5,6,8}} => [2,3,7,5,6,8,1,4] => [8,6,5,3,2,1,7,4] => [[1,4],[2,7],[3],[5],[6],[8]] => 20
{{1,3,5,6},{2,4,7,8}} => [3,4,5,7,6,1,8,2] => [6,1,8,7,5,4,3,2] => [[1,2],[3,7],[4],[5],[6],[8]] => 23
{{1,2,5,6},{3,4,7,8}} => [2,5,4,7,6,1,8,3] => [6,4,2,1,8,7,5,3] => [[1,3],[2,5],[4,7],[6,8]] => 15
{{1,3,4,6},{2,5,7,8}} => [3,5,4,6,7,1,8,2] => [8,7,4,1,6,5,3,2] => [[1,2],[3,5],[4],[6],[7],[8]] => 25
{{1,2,4,6},{3,5,7,8}} => [2,4,5,6,7,1,8,3] => [8,7,2,1,6,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8]] => 24
{{1,2,3,6},{4,5,7,8}} => [2,3,6,5,7,1,8,4] => [8,7,5,3,2,1,6,4] => [[1,4],[2,6],[3],[5],[7],[8]] => 21
{{1,3,4,5},{2,6,7,8}} => [3,6,4,5,1,7,8,2] => [5,4,1,8,7,6,3,2] => [[1,2],[3,6],[4,7],[5],[8]] => 21
{{1,2,4,5},{3,6,7,8}} => [2,4,6,5,1,7,8,3] => [5,2,1,8,7,6,4,3] => [[1,3],[2,4],[5,6],[7],[8]] => 23
{{1,2,3,5},{4,6,7,8}} => [2,3,5,6,1,7,8,4] => [8,7,6,3,2,1,5,4] => [[1,4],[2,5],[3],[6],[7],[8]] => 22
{{1,3,6,8},{2,5,7},{4}} => [3,5,6,4,7,8,2,1] => [4,8,2,7,6,5,3,1] => [[1,3],[2,5],[4],[6],[7],[8]] => 23
{{1,2,5,8},{3,6,7},{4}} => [2,5,6,4,8,7,3,1] => [4,7,3,8,6,5,2,1] => [[1,5,8],[2,6],[3],[4],[7]] => 13
{{1,2,5,8},{3,4,7},{6}} => [2,5,4,7,8,6,3,1] => [6,8,4,3,7,5,2,1] => [[1,5],[2,7],[3,8],[4],[6]] => 14
{{1,2,6,7},{3,5,8},{4}} => [2,6,5,4,8,7,1,3] => [4,7,5,2,1,8,6,3] => [[1,3,6],[2,5],[4,8],[7]] => 14
{{1,4,5,7},{2,6,8},{3}} => [4,6,3,5,7,8,1,2] => [3,8,5,1,7,6,4,2] => [[1,2,6],[3,4],[5],[7],[8]] => 21
{{1,2,4,7},{3,6,8},{5}} => [2,4,6,7,5,8,1,3] => [5,8,2,1,7,6,4,3] => [[1,3],[2,4],[5,6],[7],[8]] => 23
{{1,3,5,7},{2,4,8},{6}} => [3,4,5,8,7,6,1,2] => [6,7,1,8,5,4,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => 16
{{1,2,5,7},{3,4,8},{6}} => [2,5,4,8,7,6,1,3] => [6,7,4,2,1,8,5,3] => [[1,3,8],[2,5],[4,7],[6]] => 12
{{1,2,4,5},{3,7,8},{6}} => [2,4,7,5,1,6,8,3] => [5,2,1,6,8,7,4,3] => [[1,3,7],[2,4],[5,6],[8]] => 17
{{1,3,5,6},{2,4,8},{7}} => [3,4,5,8,6,1,7,2] => [6,1,7,8,5,4,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => 16
{{1,2,3,6},{4,5,8},{7}} => [2,3,6,5,8,1,7,4] => [7,8,5,3,2,1,6,4] => [[1,4],[2,6],[3,8],[5],[7]] => 16
{{1,3,5,7},{2,4,6},{8}} => [3,4,5,6,7,2,1,8] => [7,2,6,5,4,3,1,8] => [[1,3,8],[2],[4],[5],[6],[7]] => 19
{{1,2,3,5},{4,6,7},{8}} => [2,3,5,6,1,7,4,8] => [7,6,3,2,1,5,4,8] => [[1,4,8],[2,5],[3],[6],[7]] => 15
{{1,4,7,8},{2,5},{3,6}} => [4,5,6,7,2,3,8,1] => [8,7,2,6,3,5,4,1] => [[1,3,4],[2],[5],[6],[7],[8]] => 23
{{1,2,6,8},{3,5},{4,7}} => [2,6,5,7,3,8,4,1] => [8,3,5,4,7,6,2,1] => [[1,4,6],[2,7],[3],[5],[8]] => 16
{{1,3,6,8},{2,4},{5,7}} => [3,4,6,2,7,8,5,1] => [8,5,7,6,2,4,3,1] => [[1,3],[2,6],[4],[5],[7],[8]] => 22
{{1,3,5,8},{2,6},{4,7}} => [3,6,5,7,8,2,4,1] => [8,2,7,5,4,6,3,1] => [[1,3,6],[2],[4],[5],[7],[8]] => 21
{{1,2,5,8},{3,6},{4,7}} => [2,5,6,7,8,3,4,1] => [8,3,7,4,6,5,2,1] => [[1,4,5],[2],[3],[6],[7],[8]] => 21
{{1,3,4,8},{2,6},{5,7}} => [3,6,4,8,7,2,5,1] => [7,4,2,8,5,6,3,1] => [[1,3,6],[2,5],[4,8],[7]] => 14
{{1,2,4,8},{3,5},{6,7}} => [2,4,5,8,3,7,6,1] => [7,6,8,3,5,4,2,1] => [[1,4],[2,8],[3],[5],[6],[7]] => 19
{{1,2,6,7},{3,4},{5,8}} => [2,6,4,3,8,7,1,5] => [4,3,7,2,1,8,6,5] => [[1,5,8],[2,6],[3,7],[4]] => 9
{{1,3,5,7},{2,6},{4,8}} => [3,6,5,8,7,2,1,4] => [7,2,8,5,3,1,6,4] => [[1,3,4],[2,6],[5,8],[7]] => 16
{{1,2,3,6},{4,7},{5,8}} => [2,3,6,7,8,1,4,5] => [8,3,2,1,7,4,6,5] => [[1,4,5],[2,6],[3,7],[8]] => 15
{{1,2,4,5},{3,7},{6,8}} => [2,4,7,5,1,8,3,6] => [5,2,1,8,4,3,7,6] => [[1,3,6],[2,4,7],[5,8]] => 13
{{1,2,3,5},{4,7},{6,8}} => [2,3,5,7,1,8,4,6] => [8,3,2,1,5,4,7,6] => [[1,4,6],[2,5,7],[3],[8]] => 12
{{1,2,3,4},{5,7},{6,8}} => [2,3,4,1,7,8,5,6] => [4,3,2,1,8,5,7,6] => [[1,5,6],[2,7],[3,8],[4]] => 11
{{1,4,7,8},{2,6},{3},{5}} => [4,6,3,7,5,2,8,1] => [3,5,8,7,2,6,4,1] => [[1,4,6],[2,5],[3],[7],[8]] => 17
{{1,3,7,8},{2,6},{4},{5}} => [3,6,7,4,5,2,8,1] => [4,5,8,7,2,6,3,1] => [[1,3,6],[2,5],[4],[7],[8]] => 18
{{1,3,7,8},{2,4},{5},{6}} => [3,4,7,2,5,6,8,1] => [5,6,8,7,2,4,3,1] => [[1,3,7],[2,6],[4],[5],[8]] => 16
{{1,3,6,8},{2,7},{4},{5}} => [3,7,6,4,5,8,2,1] => [4,5,8,6,2,7,3,1] => [[1,3,6,7],[2,5],[4],[8]] => 12
{{1,4,5,8},{2,7},{3},{6}} => [4,7,3,5,8,6,2,1] => [3,6,8,5,2,7,4,1] => [[1,4,7],[2,5],[3,8],[6]] => 12
{{1,3,5,8},{2,7},{4},{6}} => [3,7,5,4,8,6,2,1] => [4,6,8,5,2,7,3,1] => [[1,3,7],[2,5],[4,8],[6]] => 13
{{1,2,5,8},{3,7},{4},{6}} => [2,5,7,4,8,6,3,1] => [4,6,8,3,7,5,2,1] => [[1,5,7],[2,6],[3],[4],[8]] => 14
{{1,4,5,8},{2,6},{3},{7}} => [4,6,3,5,8,2,7,1] => [3,7,8,5,2,6,4,1] => [[1,4,6],[2,5],[3,8],[7]] => 13
{{1,2,5,8},{3,6},{4},{7}} => [2,5,6,4,8,3,7,1] => [4,7,8,3,6,5,2,1] => [[1,5,8],[2,6],[3],[4],[7]] => 13
{{1,3,4,8},{2,6},{5},{7}} => [3,6,4,8,5,2,7,1] => [5,7,8,4,2,6,3,1] => [[1,3,8],[2,6],[4,7],[5]] => 11
{{1,3,4,8},{2,5},{6},{7}} => [3,5,4,8,2,6,7,1] => [6,7,8,4,2,5,3,1] => [[1,3,8],[2,5],[4,7],[6]] => 12
{{1,2,4,8},{3,5},{6},{7}} => [2,4,5,8,3,6,7,1] => [6,7,8,3,5,4,2,1] => [[1,4,8],[2,7],[3],[5],[6]] => 13
{{1,4,6,7},{2,8},{3},{5}} => [4,8,3,6,5,7,1,2] => [3,5,7,6,1,8,4,2] => [[1,2,6,8],[3,4],[5],[7]] => 14
{{1,3,6,7},{2,8},{4},{5}} => [3,8,6,4,5,7,1,2] => [4,5,7,6,1,8,3,2] => [[1,2,6,8],[3,5],[4],[7]] => 13
{{1,2,6,7},{3,8},{4},{5}} => [2,6,8,4,5,7,1,3] => [4,5,7,2,1,8,6,3] => [[1,3,6,8],[2,5],[4,7]] => 8
{{1,4,5,7},{2,8},{3},{6}} => [4,8,3,5,7,6,1,2] => [3,6,7,5,1,8,4,2] => [[1,2,7,8],[3,4],[5],[6]] => 13
{{1,3,5,7},{2,8},{4},{6}} => [3,8,5,4,7,6,1,2] => [4,6,7,5,1,8,3,2] => [[1,2,7,8],[3,5],[4],[6]] => 12
{{1,2,5,7},{3,8},{4},{6}} => [2,5,8,4,7,6,1,3] => [4,6,7,2,1,8,5,3] => [[1,3,7,8],[2,5],[4,6]] => 7
{{1,2,4,7},{3,8},{5},{6}} => [2,4,8,7,5,6,1,3] => [5,6,7,2,1,8,4,3] => [[1,3,7,8],[2,4],[5,6]] => 10
{{1,2,5,6},{3,8},{4},{7}} => [2,5,8,4,6,1,7,3] => [4,6,2,1,7,8,5,3] => [[1,3,7,8],[2,5],[4,6]] => 7
{{1,3,4,5},{2,8},{6},{7}} => [3,8,4,5,1,6,7,2] => [5,4,1,6,7,8,3,2] => [[1,2,7,8],[3,6],[4],[5]] => 11
{{1,2,4,5},{3,8},{6},{7}} => [2,4,8,5,1,6,7,3] => [5,2,1,6,7,8,4,3] => [[1,3,7,8],[2,4],[5,6]] => 10
{{1,2,3,5},{4,8},{6},{7}} => [2,3,5,8,1,6,7,4] => [6,7,8,3,2,1,5,4] => [[1,4,8],[2,5],[3,7],[6]] => 11
{{1,3,5,7},{2,6},{4},{8}} => [3,6,5,4,7,2,1,8] => [4,7,5,2,6,3,1,8] => [[1,3,6,8],[2,5],[4],[7]] => 11
{{1,2,5,7},{3,6},{4},{8}} => [2,5,6,4,7,3,1,8] => [4,7,3,6,5,2,1,8] => [[1,5,8],[2,6],[3],[4],[7]] => 13
{{1,3,4,7},{2,6},{5},{8}} => [3,6,4,7,5,2,1,8] => [5,7,4,2,6,3,1,8] => [[1,3,8],[2,6],[4,7],[5]] => 11
{{1,2,4,7},{3,6},{5},{8}} => [2,4,6,7,5,3,1,8] => [5,7,3,6,4,2,1,8] => [[1,4,8],[2,6],[3],[5],[7]] => 14
{{1,3,4,7},{2,5},{6},{8}} => [3,5,4,7,2,6,1,8] => [6,7,4,2,5,3,1,8] => [[1,3,8],[2,5],[4,7],[6]] => 12
{{1,3,4,5},{2,7},{6},{8}} => [3,7,4,5,1,6,2,8] => [5,4,1,6,7,3,2,8] => [[1,2,7,8],[3,6],[4],[5]] => 11
{{1,3,4,5},{2,6},{7},{8}} => [3,6,4,5,1,2,7,8] => [5,4,1,6,3,2,7,8] => [[1,2,7,8],[3,6],[4],[5]] => 11
{{1,2,3,5},{4,6},{7},{8}} => [2,3,5,6,1,4,7,8] => [6,3,2,1,5,4,7,8] => [[1,4,7,8],[2,5],[3],[6]] => 9
{{1,4,7},{2,5,8},{3,6}} => [4,5,6,7,8,3,1,2] => [8,3,7,1,6,5,4,2] => [[1,2],[3,4],[5],[6],[7],[8]] => 26
{{1,3,7},{2,4,8},{5,6}} => [3,4,7,8,6,5,1,2] => [6,5,8,1,7,4,3,2] => [[1,2],[3,7],[4,8],[5],[6]] => 19
{{1,4,6},{2,5,8},{3,7}} => [4,5,7,6,8,1,3,2] => [8,1,6,3,7,5,4,2] => [[1,2,4],[3,7],[5],[6],[8]] => 21
{{1,3,6},{2,5,8},{4,7}} => [3,5,6,7,8,1,4,2] => [8,1,7,4,6,5,3,2] => [[1,2,5],[3],[4],[6],[7],[8]] => 23
{{1,4,5},{2,6,8},{3,7}} => [4,6,7,5,1,8,3,2] => [5,1,8,3,7,6,4,2] => [[1,2,4],[3,6],[5],[7],[8]] => 22
{{1,3,5},{2,6,8},{4,7}} => [3,6,5,7,1,8,4,2] => [8,1,5,4,7,6,3,2] => [[1,2,6],[3,7],[4],[5],[8]] => 19
{{1,3,4},{2,6,8},{5,7}} => [3,6,4,1,7,8,5,2] => [4,1,8,5,7,6,3,2] => [[1,2,6],[3,5],[4],[7],[8]] => 20
{{1,4,6},{2,5,7},{3,8}} => [4,5,8,6,7,1,2,3] => [7,1,6,2,8,5,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => 21
{{1,2,4},{3,5,7},{6,8}} => [2,4,5,1,7,8,3,6] => [8,5,2,1,4,3,7,6] => [[1,3,6],[2,4,7],[5],[8]] => 14
{{1,2,5},{3,4,6},{7,8}} => [2,5,4,6,1,3,8,7] => [6,4,2,1,5,3,8,7] => [[1,3,7],[2,5,8],[4],[6]] => 11
{{1,2,4},{3,5,6},{7,8}} => [2,4,5,1,6,3,8,7] => [6,5,2,1,4,3,8,7] => [[1,3,7],[2,4,8],[5],[6]] => 12
{{1,4,7},{2,6,8},{3},{5}} => [4,6,3,7,5,8,1,2] => [3,5,8,1,7,6,4,2] => [[1,2,6],[3,4],[5],[7],[8]] => 21
{{1,3,7},{2,6,8},{4},{5}} => [3,6,7,4,5,8,1,2] => [4,5,8,1,7,6,3,2] => [[1,2,6],[3,5],[4],[7],[8]] => 20
{{1,2,7},{3,6,8},{4},{5}} => [2,7,6,4,5,8,1,3] => [4,5,8,6,2,1,7,3] => [[1,3,6,7],[2,5],[4],[8]] => 12
{{1,4,7},{2,5,8},{3},{6}} => [4,5,3,7,8,6,1,2] => [3,6,8,1,7,5,4,2] => [[1,2,7],[3,4],[5],[6],[8]] => 20
{{1,2,7},{3,5,8},{4},{6}} => [2,7,5,4,8,6,1,3] => [4,6,8,5,2,1,7,3] => [[1,3,7],[2,5],[4,8],[6]] => 13
{{1,2,7},{3,4,8},{5},{6}} => [2,7,4,8,5,6,1,3] => [5,6,8,4,2,1,7,3] => [[1,3,7],[2,6],[4,8],[5]] => 12
{{1,4,6},{2,7,8},{3},{5}} => [4,7,3,6,5,1,8,2] => [3,5,6,1,8,7,4,2] => [[1,2,6,7],[3,4],[5],[8]] => 15
{{1,3,6},{2,7,8},{4},{5}} => [3,7,6,4,5,1,8,2] => [4,5,6,1,8,7,3,2] => [[1,2,6,7],[3,5],[4],[8]] => 14
{{1,2,6},{3,7,8},{4},{5}} => [2,6,7,4,5,1,8,3] => [4,5,8,7,2,1,6,3] => [[1,3,6],[2,5],[4,7],[8]] => 15
{{1,3,5},{2,7,8},{4},{6}} => [3,7,5,4,1,6,8,2] => [4,5,1,6,8,7,3,2] => [[1,2,6,7],[3,5],[4],[8]] => 14
{{1,2,4},{3,7,8},{5},{6}} => [2,4,7,1,5,6,8,3] => [5,6,8,7,2,1,4,3] => [[1,3,7],[2,4],[5,6],[8]] => 17
{{1,3,6},{2,5,8},{4},{7}} => [3,5,6,4,8,1,7,2] => [4,7,8,1,6,5,3,2] => [[1,2,8],[3,5],[4],[6],[7]] => 18
{{1,4,5},{2,6,8},{3},{7}} => [4,6,3,5,1,8,7,2] => [3,5,1,7,8,6,4,2] => [[1,2,6,8],[3,4],[5],[7]] => 14
{{1,3,4},{2,6,8},{5},{7}} => [3,6,4,1,5,8,7,2] => [4,1,5,7,8,6,3,2] => [[1,2,6,8],[3,5],[4],[7]] => 13
{{1,2,4},{3,6,8},{5},{7}} => [2,4,6,1,5,8,7,3] => [5,7,8,6,2,1,4,3] => [[1,3,8],[2,4],[5,6],[7]] => 16
{{1,3,5},{2,4,8},{6},{7}} => [3,4,5,8,1,6,7,2] => [6,7,8,1,5,4,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => 16
{{1,2,5},{3,4,8},{6},{7}} => [2,5,4,8,1,6,7,3] => [6,7,8,4,2,1,5,3] => [[1,3,8],[2,5],[4,7],[6]] => 12
{{1,3,5},{2,6,7},{4},{8}} => [3,6,5,4,1,7,2,8] => [4,5,1,7,6,3,2,8] => [[1,2,6,8],[3,5],[4],[7]] => 13
{{1,3,4},{2,6,7},{5},{8}} => [3,6,4,1,5,7,2,8] => [4,1,5,7,6,3,2,8] => [[1,2,6,8],[3,5],[4],[7]] => 13
{{1,2,5},{3,4,6},{7},{8}} => [2,5,4,6,1,3,7,8] => [6,4,2,1,5,3,7,8] => [[1,3,7,8],[2,5],[4],[6]] => 10
{{1,4,8},{2,6},{3,7},{5}} => [4,6,7,8,5,2,3,1] => [5,8,2,7,3,6,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => 20
{{1,3,8},{2,6},{4,7},{5}} => [3,6,8,7,5,2,4,1] => [5,7,2,8,4,6,3,1] => [[1,3,6],[2,7,8],[4],[5]] => 12
{{1,2,8},{3,6},{4,7},{5}} => [2,8,6,7,5,3,4,1] => [5,7,3,6,4,8,2,1] => [[1,4,8],[2,6],[3],[5],[7]] => 14
{{1,4,8},{2,5},{3,7},{6}} => [4,5,7,8,2,6,3,1] => [6,8,2,7,3,5,4,1] => [[1,3,4],[2,7],[5],[6],[8]] => 19
{{1,3,8},{2,5},{4,7},{6}} => [3,5,8,7,2,6,4,1] => [6,7,2,8,4,5,3,1] => [[1,3,5],[2,7,8],[4],[6]] => 13
{{1,2,8},{3,5},{4,7},{6}} => [2,8,5,7,3,6,4,1] => [6,7,3,5,4,8,2,1] => [[1,4,8],[2,7],[3],[5],[6]] => 13
{{1,3,8},{2,4},{5,7},{6}} => [3,4,8,2,7,6,5,1] => [6,7,5,8,2,4,3,1] => [[1,3,8],[2,7],[4],[5],[6]] => 14
{{1,4,8},{2,5},{3,6},{7}} => [4,5,6,8,2,3,7,1] => [7,8,2,6,3,5,4,1] => [[1,3,4],[2,8],[5],[6],[7]] => 18
{{1,3,8},{2,5},{4,6},{7}} => [3,5,8,6,2,4,7,1] => [6,2,7,8,4,5,3,1] => [[1,3,5],[2,7,8],[4],[6]] => 13
{{1,3,7},{2,6},{4,8},{5}} => [3,6,7,8,5,2,1,4] => [5,8,2,7,3,1,6,4] => [[1,3,4],[2,6],[5,7],[8]] => 17
{{1,2,7},{3,6},{4,8},{5}} => [2,7,6,8,5,3,1,4] => [5,8,3,6,2,1,7,4] => [[1,4,7],[2,6],[3,8],[5]] => 11
{{1,4,7},{2,5},{3,8},{6}} => [4,5,8,7,2,6,1,3] => [6,7,2,8,1,5,4,3] => [[1,3,8],[2,4],[5,7],[6]] => 15
{{1,3,7},{2,5},{4,8},{6}} => [3,5,7,8,2,6,1,4] => [6,8,2,7,3,1,5,4] => [[1,3,4],[2,5],[6,7],[8]] => 20
{{1,2,7},{3,5},{4,8},{6}} => [2,7,5,8,3,6,1,4] => [6,8,3,5,2,1,7,4] => [[1,4,7],[2,5],[3,8],[6]] => 12
{{1,4,6},{2,7},{3,8},{5}} => [4,7,8,6,5,1,2,3] => [5,6,1,8,2,7,4,3] => [[1,2,3],[4,6,7],[5],[8]] => 20
{{1,2,6},{3,7},{4,8},{5}} => [2,6,7,8,5,1,3,4] => [5,8,2,1,7,3,6,4] => [[1,3,4],[2,6],[5,7],[8]] => 17
{{1,2,5},{3,7},{4,8},{6}} => [2,5,7,8,1,6,3,4] => [6,8,2,1,7,3,5,4] => [[1,3,4],[2,5],[6,7],[8]] => 20
{{1,4,6},{2,5},{3,8},{7}} => [4,5,8,6,2,1,7,3] => [6,2,7,8,1,5,4,3] => [[1,3,8],[2,4],[5,7],[6]] => 15
{{1,3,6},{2,5},{4,8},{7}} => [3,5,6,8,2,1,7,4] => [7,8,2,6,3,1,5,4] => [[1,3,4],[2,5],[6,8],[7]] => 19
{{1,2,6},{3,5},{4,8},{7}} => [2,6,5,8,3,1,7,4] => [7,8,3,5,2,1,6,4] => [[1,4,6],[2,5],[3,8],[7]] => 13
{{1,3,6},{2,4},{5,8},{7}} => [3,4,6,2,8,1,7,5] => [7,8,2,4,3,1,6,5] => [[1,3,5],[2,6],[4,8],[7]] => 15
{{1,2,6},{3,4},{5,8},{7}} => [2,6,4,3,8,1,7,5] => [4,3,7,8,2,1,6,5] => [[1,5,8],[2,6],[3,7],[4]] => 9
{{1,4,5},{2,6},{3,8},{7}} => [4,6,8,5,1,2,7,3] => [5,1,7,8,2,6,4,3] => [[1,2,3],[4,6,8],[5],[7]] => 19
{{1,3,5},{2,6},{4,8},{7}} => [3,6,5,8,1,2,7,4] => [7,8,1,5,3,2,6,4] => [[1,2,4],[3,6],[5,8],[7]] => 19
{{1,2,5},{3,6},{4,8},{7}} => [2,5,6,8,1,3,7,4] => [7,8,2,1,6,3,5,4] => [[1,3,4],[2,5],[6,8],[7]] => 19
{{1,2,4},{3,6},{5,8},{7}} => [2,4,6,1,8,3,7,5] => [7,8,2,1,4,3,6,5] => [[1,3,5],[2,4,6],[7,8]] => 15
{{1,3,7},{2,5},{4,6},{8}} => [3,5,7,6,2,4,1,8] => [6,2,7,4,5,3,1,8] => [[1,3,5,8],[2,7],[4],[6]] => 11
{{1,2,7},{3,5},{4,6},{8}} => [2,7,5,6,3,4,1,8] => [6,3,5,4,7,2,1,8] => [[1,4,7,8],[2],[3],[5],[6]] => 12
{{1,3,7},{2,4},{5,6},{8}} => [3,4,7,2,6,5,1,8] => [6,5,7,2,4,3,1,8] => [[1,3,8],[2,7],[4],[5],[6]] => 14
{{1,2,6},{3,5},{4,7},{8}} => [2,6,5,7,3,1,4,8] => [7,3,5,2,1,6,4,8] => [[1,4,6,8],[2,5],[3],[7]] => 10
{{1,3,6},{2,4},{5,7},{8}} => [3,4,6,2,7,1,5,8] => [7,2,4,3,1,6,5,8] => [[1,3,5,8],[2,6],[4],[7]] => 12
{{1,3,4},{2,6},{5,7},{8}} => [3,6,4,1,7,2,5,8] => [4,1,7,3,2,6,5,8] => [[1,2,5,8],[3,6],[4,7]] => 12
{{1,3,4},{2,5},{6,7},{8}} => [3,5,4,1,2,7,6,8] => [4,1,5,3,2,7,6,8] => [[1,2,6,8],[3,5,7],[4]] => 8
{{1,3,8},{2,4},{5},{6},{7}} => [3,4,8,2,5,6,7,1] => [5,6,7,8,2,4,3,1] => [[1,3,7,8],[2,6],[4],[5]] => 9
{{1,3,4},{2,8},{5},{6},{7}} => [3,8,4,1,5,6,7,2] => [4,1,5,6,7,8,3,2] => [[1,2,6,7,8],[3,5],[4]] => 7
{{1,4,7},{2,6},{3},{5},{8}} => [4,6,3,7,5,2,1,8] => [3,5,7,2,6,4,1,8] => [[1,4,6,8],[2,5],[3],[7]] => 10
{{1,4,6},{2,7},{3},{5},{8}} => [4,7,3,6,5,1,2,8] => [3,5,6,1,7,4,2,8] => [[1,2,6,7,8],[3,4],[5]] => 8
{{1,3,5},{2,4},{6},{7},{8}} => [3,4,5,2,1,6,7,8] => [5,2,4,3,1,6,7,8] => [[1,3,6,7,8],[2],[4],[5]] => 8
{{1,4},{2,6},{3,8},{5},{7}} => [4,6,8,1,5,2,7,3] => [5,7,8,1,6,2,4,3] => [[1,2,3],[4,6,8],[5],[7]] => 19
{{1,5},{2,6},{3,7},{4},{8}} => [5,6,7,4,1,2,3,8] => [4,7,1,6,2,5,3,8] => [[1,2,3,8],[4,5],[6],[7]] => 17
{{1,3},{2,6},{4,7},{5},{8}} => [3,6,1,7,5,2,4,8] => [5,7,1,3,2,6,4,8] => [[1,2,4,8],[3,6],[5,7]] => 13
{{1,7},{2,8},{3},{4},{5},{6}} => [7,8,3,4,5,6,1,2] => [3,4,5,6,8,1,7,2] => [[1,2,5,6,7],[3,4],[8]] => 11
{{1,6},{2,8},{3},{4},{5},{7}} => [6,8,3,4,5,1,7,2] => [3,4,5,7,8,1,6,2] => [[1,2,5,6,8],[3,4],[7]] => 10
{{1,4},{2,8},{3},{5},{6},{7}} => [4,8,3,1,5,6,7,2] => [3,5,6,7,8,1,4,2] => [[1,2,6,7,8],[3,4],[5]] => 8
{{1,3},{2,8},{4},{5},{6},{7}} => [3,8,1,4,5,6,7,2] => [4,5,6,7,8,1,3,2] => [[1,2,6,7,8],[3,5],[4]] => 7
{{1,5},{2,6},{3},{4},{7},{8}} => [5,6,3,4,1,2,7,8] => [3,4,6,1,5,2,7,8] => [[1,2,5,7,8],[3,4],[6]] => 9
{{1,3},{2,4},{5},{6},{7},{8}} => [3,4,1,2,5,6,7,8] => [4,1,3,2,5,6,7,8] => [[1,2,5,6,7,8],[3],[4]] => 5
{{1,5,7},{2,4},{3},{6,8}} => [5,4,3,2,7,8,1,6] => [3,4,2,8,5,1,7,6] => [[1,4,5,6],[2,7],[3,8]] => 10
{{1,5,8},{2,6},{3,4},{7}} => [5,6,4,3,8,2,7,1] => [4,3,7,8,2,6,5,1] => [[1,5,8],[2,6],[3,7],[4]] => 9
{{1,4},{2,5,8},{3},{6,7}} => [4,5,3,1,8,7,6,2] => [3,7,6,8,5,1,4,2] => [[1,2,8],[3,4],[5],[6],[7]] => 19
{{1,4,7},{2,5},{3},{6,8}} => [4,5,3,7,2,8,1,6] => [3,8,2,5,4,1,7,6] => [[1,4,6],[2,5,7],[3],[8]] => 12
{{1,4},{2},{3,6,7},{5,8}} => [4,2,6,1,8,7,3,5] => [2,7,1,4,3,8,6,5] => [[1,3,5],[2,4,6],[7,8]] => 15
{{1,4},{2},{3,6},{5,7,8}} => [4,2,6,1,7,3,8,5] => [2,8,7,1,4,3,6,5] => [[1,3,5],[2,4,6],[7],[8]] => 16
{{1,4},{2},{3,5,8},{6,7}} => [4,2,5,1,8,7,6,3] => [2,7,6,8,5,1,4,3] => [[1,3,8],[2,4],[5],[6],[7]] => 17
{{1,2,5},{3},{4,7,8},{6}} => [2,5,3,7,1,6,8,4] => [3,6,8,7,2,1,5,4] => [[1,4,7],[2,5],[3,6],[8]] => 13
{{1,2,5,7},{3},{4,8},{6}} => [2,5,3,8,7,6,1,4] => [3,6,7,2,1,8,5,4] => [[1,4,7,8],[2,5],[3,6]] => 6
{{1,5,7},{2},{3,4},{6,8}} => [5,2,4,3,7,8,1,6] => [2,4,3,8,5,1,7,6] => [[1,3,5,6],[2,7],[4,8]] => 11
{{1,4,7},{2},{3,5},{6,8}} => [4,2,5,7,3,8,1,6] => [2,8,3,5,4,1,7,6] => [[1,3,4,6],[2,7],[5],[8]] => 15
{{1},{2,6},{3,4,7},{5,8}} => [1,6,4,7,8,2,3,5] => [1,8,4,2,7,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => 20
{{1,6},{2,3,7},{4},{5,8}} => [6,3,7,4,8,1,2,5] => [4,8,3,1,7,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => 19
{{1,2},{3,6,7},{4,8},{5}} => [2,1,6,8,5,7,3,4] => [2,1,5,7,3,8,6,4] => [[1,3,4,8],[2,5,6],[7]] => 11
{{1,2},{3,6},{4,7,8},{5}} => [2,1,6,7,5,3,8,4] => [2,1,5,8,7,3,6,4] => [[1,3,4],[2,5,6],[7],[8]] => 18
{{1,6},{2,3},{4},{5,7,8}} => [6,3,2,4,7,1,8,5] => [3,2,4,8,7,1,6,5] => [[1,4,5],[2,6],[3,7],[8]] => 15
{{1},{2,6},{3,4},{5,7,8}} => [1,6,4,3,7,2,8,5] => [1,4,3,8,7,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => 19
{{1,7},{2,3},{4},{5,6,8}} => [7,3,2,4,6,8,1,5] => [3,2,4,8,6,1,7,5] => [[1,4,5,7],[2,6],[3,8]] => 9
{{1,2},{3,7},{4,6,8},{5}} => [2,1,7,6,5,8,3,4] => [2,1,5,8,6,3,7,4] => [[1,3,4,7],[2,5,6],[8]] => 12
{{1,7},{2,3,8},{4,5},{6}} => [7,3,8,5,4,6,1,2] => [5,4,6,8,3,1,7,2] => [[1,2,7],[3,6],[4,8],[5]] => 15
{{1},{2,4},{3,5,8},{6,7}} => [1,4,5,2,8,7,6,3] => [1,7,6,8,5,2,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => 21
{{1},{2,4},{3,7},{5,6,8}} => [1,4,7,2,6,8,3,5] => [1,8,6,2,4,3,7,5] => [[1,2,3,5],[4,7],[6],[8]] => 19
{{1},{2,4},{3,6,7},{5,8}} => [1,4,6,2,8,7,3,5] => [1,7,2,4,3,8,6,5] => [[1,2,3,5],[4,6],[7,8]] => 19
{{1,3},{2,6,7},{4},{5,8}} => [3,6,1,4,8,7,2,5] => [4,7,1,3,2,8,6,5] => [[1,2,5],[3,6,8],[4,7]] => 15
{{1,3},{2,6},{4},{5,7,8}} => [3,6,1,4,7,2,8,5] => [4,8,7,1,3,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => 19
{{1,3,8},{2,4,7},{5},{6}} => [3,4,8,7,5,6,2,1] => [5,6,7,2,8,4,3,1] => [[1,3,7,8],[2,6],[4],[5]] => 9
{{1,4,7},{2,3,8},{5},{6}} => [4,3,8,7,5,6,1,2] => [5,6,7,3,1,8,4,2] => [[1,2,7,8],[3,4],[5,6]] => 12
{{1,3,7},{2,8},{4,5},{6}} => [3,8,7,5,4,6,1,2] => [5,4,6,7,1,8,3,2] => [[1,2,7,8],[3,6],[4],[5]] => 11
{{1,3},{2,8},{4},{5,6,7}} => [3,8,1,4,6,7,5,2] => [4,7,6,5,8,1,3,2] => [[1,2,8],[3,5],[4],[6],[7]] => 18
{{1,3,6},{2,8},{4},{5,7}} => [3,8,6,4,7,1,5,2] => [4,7,1,6,5,8,3,2] => [[1,2,8],[3,5],[4],[6],[7]] => 18
{{1,3,6},{2,7},{4},{5,8}} => [3,7,6,4,8,1,2,5] => [4,8,1,6,3,2,7,5] => [[1,2,5],[3,6,7],[4],[8]] => 18
{{1},{2,4,7},{3,5},{6,8}} => [1,4,5,7,3,8,2,6] => [1,8,3,5,4,2,7,6] => [[1,2,4,6],[3,7],[5],[8]] => 17
{{1},{2,8},{3,4,6},{5,7}} => [1,8,4,6,7,3,5,2] => [1,7,4,3,6,5,8,2] => [[1,2,5,8],[3,6],[4],[7]] => 14
{{1,2,6},{3,8},{4,7},{5}} => [2,6,8,7,5,1,4,3] => [5,7,2,1,8,4,6,3] => [[1,3,6],[2,4,8],[5,7]] => 12
{{1,7},{2,3,6},{4},{5,8}} => [7,3,6,4,8,2,1,5] => [4,8,3,2,6,1,7,5] => [[1,5,7],[2,6],[3,8],[4]] => 10
{{1},{2,7},{3,4,6},{5,8}} => [1,7,4,6,8,3,2,5] => [1,8,4,3,6,2,7,5] => [[1,2,5,7],[3,6],[4],[8]] => 15
{{1,2},{3,6,8},{4,7},{5}} => [2,1,6,7,5,8,4,3] => [2,1,5,8,4,7,6,3] => [[1,3,6],[2,4,7],[5],[8]] => 14
{{1,2},{3,5,7},{4,8},{6}} => [2,1,5,8,7,6,3,4] => [2,1,6,7,3,8,5,4] => [[1,3,4,8],[2,5,7],[6]] => 10
{{1,2},{3,7},{4,5,8},{6}} => [2,1,7,5,8,6,3,4] => [2,1,6,8,5,3,7,4] => [[1,3,4],[2,5,7],[6,8]] => 16
{{1,3,7},{2,8},{4,6},{5}} => [3,8,7,6,5,4,1,2] => [5,6,4,7,1,8,3,2] => [[1,2,7,8],[3,6],[4],[5]] => 11
{{1,3,7},{2},{4,5,8},{6}} => [3,2,7,5,8,6,1,4] => [2,6,8,5,3,1,7,4] => [[1,3,4],[2,7],[5,8],[6]] => 15
{{1,7},{2,3},{4,5,8},{6}} => [7,3,2,5,8,6,1,4] => [3,2,6,8,5,1,7,4] => [[1,4,7],[2,5,8],[3,6]] => 7
{{1,7},{2,3,8},{4},{5,6}} => [7,3,8,4,6,5,1,2] => [4,6,5,8,3,1,7,2] => [[1,2,7],[3,5],[4,8],[6]] => 16
{{1,7,8},{2,5},{3,6},{4}} => [7,5,6,4,2,3,8,1] => [4,6,2,5,3,8,7,1] => [[1,3,7],[2,5,8],[4],[6]] => 11
{{1,7},{2,4,5},{3,8},{6}} => [7,4,8,5,2,6,1,3] => [5,2,6,8,4,1,7,3] => [[1,3,7],[2,4,8],[5,6]] => 11
{{1,4,6},{2,5},{3},{7,8}} => [4,5,3,6,2,1,8,7] => [3,6,2,5,4,1,8,7] => [[1,4,7],[2,5,8],[3],[6]] => 10
{{1,5,7,8},{2},{3,6},{4}} => [5,2,6,4,7,3,8,1] => [2,4,8,7,3,6,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => 19
{{1,4,5,7},{2},{3,8},{6}} => [4,2,8,5,7,6,1,3] => [2,6,7,5,1,8,4,3] => [[1,3,7,8],[2,4],[5],[6]] => 11
{{1,3,6},{2,8},{4,7},{5}} => [3,8,6,7,5,1,4,2] => [5,7,1,6,4,8,3,2] => [[1,2,8],[3,6],[4],[5],[7]] => 17
{{1,8},{2,4,6},{3,7},{5}} => [8,4,7,6,5,2,3,1] => [5,6,2,7,4,3,8,1] => [[1,3,7,8],[2,6],[4],[5]] => 9
{{1,5},{2,3,8},{4},{6,7}} => [5,3,8,4,1,7,6,2] => [4,7,6,8,3,1,5,2] => [[1,2,8],[3,5],[4,6],[7]] => 16
{{1,8},{2,6},{3,4,7},{5}} => [8,6,4,7,5,2,3,1] => [5,7,4,2,6,3,8,1] => [[1,3,8],[2,6],[4,7],[5]] => 11
{{1,6,8},{2},{3,4,7},{5}} => [6,2,4,7,5,8,3,1] => [2,5,8,4,3,7,6,1] => [[1,3,6],[2,7],[4,8],[5]] => 13
{{1,6},{2,3,8},{4,7},{5}} => [6,3,8,7,5,1,4,2] => [5,7,3,1,8,4,6,2] => [[1,2,6],[3,4,8],[5,7]] => 14
{{1,5},{2,3,7},{4,8},{6}} => [5,3,7,8,1,6,2,4] => [6,8,3,1,7,2,5,4] => [[1,2,4],[3,5],[6,7],[8]] => 22
{{1,5},{2,3,6},{4},{7,8}} => [5,3,6,4,1,2,8,7] => [4,6,3,1,5,2,8,7] => [[1,2,7],[3,5,8],[4,6]] => 11
{{1,5,7},{2,4},{3,8},{6}} => [5,4,8,2,7,6,1,3] => [6,7,2,4,1,8,5,3] => [[1,3,5],[2,4,8],[6,7]] => 13
{{1,6,8},{2,7},{3,5},{4}} => [6,7,5,4,3,8,2,1] => [4,5,3,8,2,7,6,1] => [[1,5,6],[2,7],[3,8],[4]] => 11
{{1,7},{2,5},{3,4,8},{6}} => [7,5,4,8,2,6,1,3] => [6,8,4,2,5,1,7,3] => [[1,3,7],[2,5],[4,8],[6]] => 13
{{1,5},{2,4,8},{3,7},{6}} => [5,4,7,8,1,6,3,2] => [6,8,1,7,4,3,5,2] => [[1,2,5],[3,7],[4],[6],[8]] => 20
{{1,6},{2,4,8},{3,5},{7}} => [6,4,5,8,3,1,7,2] => [7,8,3,5,4,1,6,2] => [[1,2,6],[3,4],[5,8],[7]] => 19
{{1,6},{2,5},{3,4,8},{7}} => [6,5,4,8,2,1,7,3] => [7,8,4,2,5,1,6,3] => [[1,3,6],[2,5],[4,8],[7]] => 14
{{1,5},{2,3,6},{4,8},{7}} => [5,3,6,8,1,2,7,4] => [7,8,3,1,6,2,5,4] => [[1,2,4],[3,5],[6,8],[7]] => 21
{{1,5},{2,6},{3,4,8},{7}} => [5,6,4,8,1,2,7,3] => [7,8,4,1,6,2,5,3] => [[1,2,3],[4,5],[6,8],[7]] => 22
{{1,4,7},{2,8},{3,6},{5}} => [4,8,6,7,5,3,1,2] => [5,7,3,6,1,8,4,2] => [[1,2,8],[3,4],[5,6],[7]] => 18
{{1,4,6},{2,8},{3,7},{5}} => [4,8,7,6,5,1,3,2] => [5,6,1,7,3,8,4,2] => [[1,2,4,8],[3,6,7],[5]] => 12
{{1,5},{2,3,8},{4,7},{6}} => [5,3,8,7,1,6,4,2] => [6,7,3,1,8,4,5,2] => [[1,2,5],[3,4,8],[6,7]] => 15
{{1,2,5},{3,8},{4,7},{6}} => [2,5,8,7,1,6,4,3] => [6,7,2,1,8,4,5,3] => [[1,3,5],[2,4,8],[6,7]] => 13
{{1,5},{2,7},{3,4,8},{6}} => [5,7,4,8,1,6,2,3] => [6,8,4,1,7,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => 23
{{1,4,8},{2,7},{3,5},{6}} => [4,7,5,8,3,6,2,1] => [6,8,3,5,2,7,4,1] => [[1,4,7],[2,5],[3,8],[6]] => 12
{{1,7},{2,3,6},{4,8},{5}} => [7,3,6,8,5,2,1,4] => [5,8,3,2,6,1,7,4] => [[1,4,7],[2,6],[3,8],[5]] => 11
{{1,8},{2,3,6},{4,7},{5}} => [8,3,6,7,5,2,4,1] => [5,7,3,2,6,4,8,1] => [[1,4,8],[2,6],[3,7],[5]] => 10
{{1,8},{2,3,5},{4,7},{6}} => [8,3,5,7,2,6,4,1] => [6,7,3,2,5,4,8,1] => [[1,4,8],[2,5],[3,7],[6]] => 11
{{1,7},{2,4,8},{3,6},{5}} => [7,4,6,8,5,3,1,2] => [5,8,3,6,4,1,7,2] => [[1,2,7],[3,4],[5,6],[8]] => 19
{{1,3,8},{2,7},{4,6},{5}} => [3,7,8,6,5,4,2,1] => [5,6,4,8,2,7,3,1] => [[1,3,7],[2,6],[4,8],[5]] => 12
{{1,6},{2,4,7},{3,8},{5}} => [6,4,8,7,5,1,2,3] => [5,7,1,8,4,2,6,3] => [[1,2,3],[4,6,8],[5,7]] => 17
{{1,7},{2,4,6},{3,8},{5}} => [7,4,8,6,5,2,1,3] => [5,6,2,8,4,1,7,3] => [[1,3,7],[2,4,8],[5,6]] => 11
{{1,7},{2,4,8},{3,5},{6}} => [7,4,5,8,3,6,1,2] => [6,8,3,5,4,1,7,2] => [[1,2,7],[3,4],[5,8],[6]] => 18
{{1,7},{2,3,5},{4,8},{6}} => [7,3,5,8,2,6,1,4] => [6,8,3,2,5,1,7,4] => [[1,4,7],[2,5],[3,8],[6]] => 12
{{1,2,7},{3,8},{4,6},{5}} => [2,7,8,6,5,4,1,3] => [5,6,4,8,2,1,7,3] => [[1,3,7],[2,6],[4,8],[5]] => 12
{{1,6},{2,7},{3,4,8},{5}} => [6,7,4,8,5,1,2,3] => [5,8,4,1,7,2,6,3] => [[1,2,3],[4,6],[5,7],[8]] => 21
{{1,3,5},{2},{4,6,8},{7}} => [3,2,5,6,1,8,7,4] => [2,7,8,6,3,1,5,4] => [[1,3,4],[2,5],[6,8],[7]] => 19
{{1},{2,4,6,8},{3},{5,7}} => [1,4,3,6,7,8,5,2] => [1,3,8,5,7,6,4,2] => [[1,2,4,6],[3],[5],[7],[8]] => 19
{{1,3,6},{2},{4,8},{5,7}} => [3,2,6,8,7,1,5,4] => [2,7,3,1,8,5,6,4] => [[1,3,4,6],[2,5],[7,8]] => 15
{{1,3,5},{2},{4,7},{6,8}} => [3,2,5,7,1,8,4,6] => [2,8,3,1,5,4,7,6] => [[1,3,4,6],[2,5,7],[8]] => 13
{{1,3,5,7},{2},{4,6},{8}} => [3,2,5,6,7,4,1,8] => [2,7,4,6,5,3,1,8] => [[1,3,5,8],[2],[4],[6],[7]] => 15
{{1,3},{2,4,8},{5,7},{6}} => [3,4,1,8,7,6,5,2] => [6,7,5,8,4,1,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => 16
{{1},{2,4,8},{3,5,7},{6}} => [1,4,5,8,7,6,3,2] => [1,6,7,3,8,5,4,2] => [[1,2,4,8],[3,7],[5],[6]] => 14
{{1,4},{2,5,7},{3,8},{6}} => [4,5,8,1,7,6,2,3] => [6,7,1,8,5,2,4,3] => [[1,2,3],[4,7,8],[5],[6]] => 18
{{1,3},{2,5,7},{4,8},{6}} => [3,5,1,8,7,6,2,4] => [6,7,1,3,2,8,5,4] => [[1,2,4],[3,5,8],[6,7]] => 18
{{1,3,7},{2,4,6},{5},{8}} => [3,4,7,6,5,2,1,8] => [5,6,2,7,4,3,1,8] => [[1,3,7,8],[2,6],[4],[5]] => 9
{{1,5,7},{2,4,8},{3},{6}} => [5,4,3,8,7,6,1,2] => [3,6,7,4,1,8,5,2] => [[1,2,5,8],[3,4],[6,7]] => 14
{{1,7},{2,4,6},{3,5},{8}} => [7,4,5,6,3,2,1,8] => [6,3,5,4,2,7,1,8] => [[1,4,7,8],[2],[3],[5],[6]] => 12
{{1,4,7},{2,6},{3,5},{8}} => [4,6,5,7,3,2,1,8] => [7,3,5,2,6,4,1,8] => [[1,4,6,8],[2,5],[3],[7]] => 10
{{1},{2,4,8},{3,6},{5,7}} => [1,4,6,8,7,3,5,2] => [1,7,3,8,5,6,4,2] => [[1,2,4,6],[3,8],[5],[7]] => 16
{{1},{2,4,6,8},{3,5},{7}} => [1,4,5,6,3,8,7,2] => [1,7,8,6,3,5,4,2] => [[1,2,4],[3,8],[5],[6],[7]] => 20
{{1,4},{2,6,8},{3,5},{7}} => [4,6,5,1,3,8,7,2] => [5,1,7,8,6,3,4,2] => [[1,2,4],[3,6,8],[5],[7]] => 18
{{1,3},{2,5},{4,6,8},{7}} => [3,5,1,6,2,8,7,4] => [7,8,6,1,3,2,5,4] => [[1,2,4],[3,5],[6,8],[7]] => 21
{{1,5},{2,4,6,8},{3},{7}} => [5,4,3,6,1,8,7,2] => [3,7,8,6,4,1,5,2] => [[1,2,5],[3,4],[6,8],[7]] => 20
{{1,5},{2,4},{3,6,8},{7}} => [5,4,6,2,1,8,7,3] => [7,8,6,2,4,1,5,3] => [[1,3,5],[2,4],[6,8],[7]] => 18
{{1,6},{2,4,7},{3},{5,8}} => [6,4,3,7,8,1,2,5] => [3,8,4,1,7,2,6,5] => [[1,2,5],[3,4,6],[7],[8]] => 18
{{1,5},{2,4,7},{3},{6,8}} => [5,4,3,7,1,8,2,6] => [3,8,4,1,5,2,7,6] => [[1,2,5,6],[3,4,7],[8]] => 13
{{1,5,7},{2,4},{3,6},{8}} => [5,4,6,2,7,3,1,8] => [7,2,4,3,6,5,1,8] => [[1,3,5,8],[2,6],[4],[7]] => 12
{{1},{2,6,8},{3,5},{4,7}} => [1,6,5,7,3,8,4,2] => [1,8,3,5,4,7,6,2] => [[1,2,4,6],[3,7],[5],[8]] => 17
{{1},{2,4,6,8},{3,7},{5}} => [1,4,7,6,5,8,3,2] => [1,5,8,6,3,7,4,2] => [[1,2,4,7],[3,6],[5],[8]] => 16
{{1,6},{2,7},{3,5,8},{4}} => [6,7,5,4,8,1,2,3] => [4,8,5,1,7,2,6,3] => [[1,2,3],[4,5,6],[7],[8]] => 22
{{1,3,5},{2,7},{4},{6,8}} => [3,7,5,4,1,8,2,6] => [4,5,1,8,3,2,7,6] => [[1,2,6],[3,5,7],[4,8]] => 13
{{1,7},{2,6,8},{3,5},{4}} => [7,6,5,4,3,8,1,2] => [4,5,3,8,6,1,7,2] => [[1,2,6,7],[3,5],[4,8]] => 12
{{1,7},{2,6},{3,5,8},{4}} => [7,6,5,4,8,2,1,3] => [4,8,5,2,6,1,7,3] => [[1,3,6,7],[2,5],[4],[8]] => 12
{{1,2},{3,6},{4,5,8},{7}} => [2,1,6,5,8,3,7,4] => [2,1,7,8,5,3,6,4] => [[1,3,4],[2,5,6],[7,8]] => 17
{{1,2,6},{3},{4,5,8},{7}} => [2,6,3,5,8,1,7,4] => [3,7,8,5,2,1,6,4] => [[1,4,6],[2,5],[3,8],[7]] => 13
{{1,6},{2,3},{4,5,8},{7}} => [6,3,2,5,8,1,7,4] => [3,2,7,8,5,1,6,4] => [[1,4,6],[2,5,8],[3,7]] => 8
{{1,5,6},{2,3},{4,8},{7}} => [5,3,2,8,6,1,7,4] => [3,2,6,1,7,8,5,4] => [[1,4,7,8],[2,5],[3,6]] => 6
{{1,5,6},{2,3,8},{4},{7}} => [5,3,8,4,6,1,7,2] => [4,6,3,1,7,8,5,2] => [[1,2,7,8],[3,5],[4,6]] => 10
{{1,5,6},{2,8},{3,4},{7}} => [5,8,4,3,6,1,7,2] => [4,3,6,1,7,8,5,2] => [[1,2,7,8],[3,5],[4,6]] => 10
{{1,5},{2,3,8},{4,6},{7}} => [5,3,8,6,1,4,7,2] => [6,3,1,7,8,4,5,2] => [[1,2,5],[3,4,8],[6,7]] => 15
{{1,2,5},{3,8},{4,6},{7}} => [2,5,8,6,1,4,7,3] => [6,2,1,7,8,4,5,3] => [[1,3,5],[2,4,8],[6,7]] => 13
{{1,2,4,6},{3},{5,8},{7}} => [2,4,3,6,8,1,7,5] => [3,7,8,4,2,1,6,5] => [[1,4,5],[2,6],[3,8],[7]] => 14
{{1,2,4},{3,8},{5,7},{6}} => [2,4,8,1,7,6,5,3] => [6,7,5,8,2,1,4,3] => [[1,3,8],[2,4],[5,7],[6]] => 15
{{1,2,4},{3,8},{5},{6,7}} => [2,4,8,1,5,7,6,3] => [5,7,6,8,2,1,4,3] => [[1,3,8],[2,4],[5,6],[7]] => 16
{{1,3,4},{2,8},{5},{6,7}} => [3,8,4,1,5,7,6,2] => [4,1,5,7,6,8,3,2] => [[1,2,6,8],[3,5],[4],[7]] => 13
{{1,4},{2,3,8},{5,7},{6}} => [4,3,8,1,7,6,5,2] => [6,7,5,8,3,1,4,2] => [[1,2,8],[3,4],[5,7],[6]] => 17
{{1,4},{2,3,6},{5},{7,8}} => [4,3,6,1,5,2,8,7] => [5,6,3,1,4,2,8,7] => [[1,2,7],[3,4,8],[5,6]] => 13
{{1,4},{2,3,6,8},{5},{7}} => [4,3,6,1,5,8,7,2] => [5,7,8,6,3,1,4,2] => [[1,2,8],[3,4],[5,6],[7]] => 18
{{1,4},{2,3,6},{5,8},{7}} => [4,3,6,1,8,2,7,5] => [7,8,3,1,4,2,6,5] => [[1,2,5],[3,4,6],[7,8]] => 17
{{1,3,8},{2,6},{4,5},{7}} => [3,6,8,5,4,2,7,1] => [5,4,7,8,2,6,3,1] => [[1,3,8],[2,6],[4,7],[5]] => 11
{{1,6},{2,5,8},{3,4},{7}} => [6,5,4,3,8,1,7,2] => [4,3,7,8,5,1,6,2] => [[1,2,6],[3,5,8],[4,7]] => 12
{{1,6},{2,4,5},{3,8},{7}} => [6,4,8,5,2,1,7,3] => [5,2,7,8,4,1,6,3] => [[1,3,6],[2,4,8],[5,7]] => 12
{{1,4,5},{2,8},{3,6},{7}} => [4,8,6,5,1,3,7,2] => [5,1,6,3,7,8,4,2] => [[1,2,4,8],[3,6,7],[5]] => 12
{{1,5,6},{2,4},{3,8},{7}} => [5,4,8,2,6,1,7,3] => [6,2,4,1,7,8,5,3] => [[1,3,5,8],[2,4],[6,7]] => 12
{{1,4},{2,7,8},{3,5},{6}} => [4,7,5,1,3,6,8,2] => [5,1,6,8,7,3,4,2] => [[1,2,4],[3,6,7],[5],[8]] => 19
{{1,4,7},{2,8},{3},{5,6}} => [4,8,3,7,6,5,1,2] => [3,6,5,7,1,8,4,2] => [[1,2,7,8],[3,4],[5],[6]] => 13
{{1,5,7},{2,3,8},{4},{6}} => [5,3,8,4,7,6,1,2] => [4,6,7,3,1,8,5,2] => [[1,2,7,8],[3,5],[4,6]] => 10
{{1,4,5},{2,7},{3},{6,8}} => [4,7,3,5,1,8,2,6] => [3,5,1,8,4,2,7,6] => [[1,2,6],[3,4,7],[5,8]] => 15
{{1,4},{2,7},{3},{5,6,8}} => [4,7,3,1,6,8,2,5] => [3,8,6,1,4,2,7,5] => [[1,2,5],[3,4,7],[6],[8]] => 17
{{1,4},{2,6},{3},{5,7,8}} => [4,6,3,1,7,2,8,5] => [3,8,7,1,4,2,6,5] => [[1,2,5],[3,4,6],[7],[8]] => 18
{{1,6,7},{2,5,8},{3},{4}} => [6,5,3,4,8,7,1,2] => [3,4,7,5,1,8,6,2] => [[1,2,5,6],[3,4],[7,8]] => 16
{{1,7},{2,5,6,8},{3},{4}} => [7,5,3,4,6,8,1,2] => [3,4,8,6,5,1,7,2] => [[1,2,5,7],[3,4],[6],[8]] => 16
{{1,7},{2,6,8},{3},{4,5}} => [7,6,3,5,4,8,1,2] => [3,5,4,8,6,1,7,2] => [[1,2,6,7],[3,4],[5,8]] => 14
{{1,8},{2,5,6},{3},{4,7}} => [8,5,3,7,6,2,4,1] => [3,6,2,7,5,4,8,1] => [[1,4,7,8],[2,5],[3],[6]] => 9
{{1,3},{2,7},{4,5,8},{6}} => [3,7,1,5,8,6,2,4] => [6,8,5,1,3,2,7,4] => [[1,2,4],[3,7],[5,8],[6]] => 18
{{1,7},{2,4,5,8},{3},{6}} => [7,4,3,5,8,6,1,2] => [3,6,8,5,4,1,7,2] => [[1,2,7],[3,4],[5,8],[6]] => 18
{{1,7},{2,3,5,8},{4},{6}} => [7,3,5,4,8,6,1,2] => [4,6,8,5,3,1,7,2] => [[1,2,7],[3,5],[4,8],[6]] => 16
{{1,7},{2},{3,4,6},{5,8}} => [7,2,4,6,8,3,1,5] => [2,8,4,3,6,1,7,5] => [[1,3,5,7],[2,6],[4],[8]] => 13
{{1,7},{2},{3,5,6},{4,8}} => [7,2,5,8,6,3,1,4] => [2,6,3,8,5,1,7,4] => [[1,3,4,7],[2,5],[6,8]] => 14
{{1,5,6},{2},{3,8},{4,7}} => [5,2,8,7,6,1,4,3] => [2,6,1,7,4,8,5,3] => [[1,3,5,8],[2,4,7],[6]] => 8
{{1,6},{2},{3,8},{4,5,7}} => [6,2,8,5,7,1,4,3] => [2,7,5,1,8,4,6,3] => [[1,3,6],[2,4,8],[5],[7]] => 13
{{1,2,6,8},{3},{4,7},{5}} => [2,6,3,7,5,8,4,1] => [3,5,8,4,7,6,2,1] => [[1,4,6],[2,7],[3],[5],[8]] => 16
{{1,6,8},{2},{3,7},{4,5}} => [6,2,7,5,4,8,3,1] => [2,5,4,8,3,7,6,1] => [[1,3,6],[2,7],[4,8],[5]] => 13
{{1,5,8},{2},{3,6,7},{4}} => [5,2,6,4,8,7,3,1] => [2,4,7,3,8,6,5,1] => [[1,3,5,8],[2,6],[4],[7]] => 12
{{1},{2},{3},{4},{5},{6},{7},{8},{9}} => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [[1,2,3,4,5,6,7,8,9]] => 0
{{1},{2},{3},{4},{5},{6},{7},{8,9}} => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => [[1,2,3,4,5,6,7,8],[9]] => 8
{{1},{2},{3},{4},{5},{6},{7,9},{8}} => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,8,9,7] => [[1,2,3,4,5,6,7,9],[8]] => 7
{{1},{2},{3},{4},{5},{6,9},{7},{8}} => [1,2,3,4,5,9,7,8,6] => [1,2,3,4,5,7,8,9,6] => [[1,2,3,4,5,6,8,9],[7]] => 6
{{1},{2},{3},{4},{5,9},{6},{7},{8}} => [1,2,3,4,9,6,7,8,5] => [1,2,3,4,6,7,8,9,5] => [[1,2,3,4,5,7,8,9],[6]] => 5
{{1},{2},{3},{4,9},{5},{6},{7},{8}} => [1,2,3,9,5,6,7,8,4] => [1,2,3,5,6,7,8,9,4] => [[1,2,3,4,6,7,8,9],[5]] => 4
{{1},{2},{3,9},{4},{5},{6},{7},{8}} => [1,2,9,4,5,6,7,8,3] => [1,2,4,5,6,7,8,9,3] => [[1,2,3,5,6,7,8,9],[4]] => 3
{{1},{2,9},{3},{4},{5},{6},{7},{8}} => [1,9,3,4,5,6,7,8,2] => [1,3,4,5,6,7,8,9,2] => [[1,2,4,5,6,7,8,9],[3]] => 2
{{1,9},{2},{3},{4},{5},{6},{7},{8}} => [9,2,3,4,5,6,7,8,1] => [2,3,4,5,6,7,8,9,1] => [[1,3,4,5,6,7,8,9],[2]] => 1
{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [[1,2,3,4,5,6,7,8,9,10]] => 0
{{1},{2},{3},{4},{5},{6},{7},{8},{9,10}} => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => [[1,2,3,4,5,6,7,8,9],[10]] => 9
{{1},{2},{3},{4},{5},{6},{7,8,9}} => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,9,8,7] => [[1,2,3,4,5,6,7],[8],[9]] => 15
{{1},{2},{3},{4},{5},{6},{7},{8,10},{9}} => [1,2,3,4,5,6,7,10,9,8] => [1,2,3,4,5,6,7,9,10,8] => [[1,2,3,4,5,6,7,8,10],[9]] => 8
{{1},{2},{3},{4},{5},{6},{7,10},{8},{9}} => [1,2,3,4,5,6,10,8,9,7] => [1,2,3,4,5,6,8,9,10,7] => [[1,2,3,4,5,6,7,9,10],[8]] => 7
{{1},{2},{3},{4},{5},{6,10},{7},{8},{9}} => [1,2,3,4,5,10,7,8,9,6] => [1,2,3,4,5,7,8,9,10,6] => [[1,2,3,4,5,6,8,9,10],[7]] => 6
{{1},{2},{3},{4},{5,10},{6},{7},{8},{9}} => [1,2,3,4,10,6,7,8,9,5] => [1,2,3,4,6,7,8,9,10,5] => [[1,2,3,4,5,7,8,9,10],[6]] => 5
{{1},{2},{3},{4,10},{5},{6},{7},{8},{9}} => [1,2,3,10,5,6,7,8,9,4] => [1,2,3,5,6,7,8,9,10,4] => [[1,2,3,4,6,7,8,9,10],[5]] => 4
{{1},{2},{3,10},{4},{5},{6},{7},{8},{9}} => [1,2,10,4,5,6,7,8,9,3] => [1,2,4,5,6,7,8,9,10,3] => [[1,2,3,5,6,7,8,9,10],[4]] => 3
{{1,9},{2,3},{4},{5},{6},{7},{8}} => [9,3,2,4,5,6,7,8,1] => [3,2,4,5,6,7,8,9,1] => [[1,4,5,6,7,8,9],[2],[3]] => 3
{{1},{2,10},{3},{4},{5},{6},{7},{8},{9}} => [1,10,3,4,5,6,7,8,9,2] => [1,3,4,5,6,7,8,9,10,2] => [[1,2,4,5,6,7,8,9,10],[3]] => 2
{{1,10},{2},{3},{4},{5},{6},{7},{8},{9}} => [10,2,3,4,5,6,7,8,9,1] => [2,3,4,5,6,7,8,9,10,1] => [[1,3,4,5,6,7,8,9,10],[2]] => 1
{{1,2,3,4,5,6,7,8},{9}} => [2,3,4,5,6,7,8,1,9] => [8,7,6,5,4,3,2,1,9] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 28
{{1},{2,3,4,5,6,7,8,9}} => [1,3,4,5,6,7,8,9,2] => [1,9,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => 35
{{1,2,3,4,5,6,7,8,9},{10}} => [2,3,4,5,6,7,8,9,1,10] => [9,8,7,6,5,4,3,2,1,10] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 36
{{1,2,3,4,5,6,8},{7},{9}} => [2,3,4,5,6,8,7,1,9] => [7,8,6,5,4,3,2,1,9] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 21
{{1},{2,3,4,5,6,7,9},{8}} => [1,3,4,5,6,7,9,8,2] => [1,8,9,7,6,5,4,3,2] => [[1,2,9],[3],[4],[5],[6],[7],[8]] => 27
{{1},{2,3,4,5,6,7,8,9,10}} => [1,3,4,5,6,7,8,9,10,2] => [1,10,9,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => 44
{{1,2,3,4,5,6,7,9},{8},{10}} => [2,3,4,5,6,7,9,8,1,10] => [8,9,7,6,5,4,3,2,1,10] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 28
{{1},{2,3,4,5,6,7,8,10},{9}} => [1,3,4,5,6,7,8,10,9,2] => [1,9,10,8,7,6,5,4,3,2] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => 35
{{1,3,6,8},{2},{4},{5,7}} => [3,2,6,4,7,8,5,1] => [2,4,8,5,7,6,3,1] => [[1,3,5,6],[2],[4],[7],[8]] => 17
{{1,4,8},{2},{3,6},{5,7}} => [4,2,6,8,7,3,5,1] => [2,7,3,8,5,6,4,1] => [[1,3,4,6],[2,8],[5],[7]] => 14
{{1,3,8},{2},{4,6},{5,7}} => [3,2,8,6,7,4,5,1] => [2,7,4,6,5,8,3,1] => [[1,3,5,8],[2],[4],[6],[7]] => 15
{{1,4,7,8},{2},{3,6},{5}} => [4,2,6,7,5,3,8,1] => [2,5,8,7,3,6,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => 20
{{1,5,8},{2},{3,6},{4,7}} => [5,2,6,7,8,3,4,1] => [2,8,3,7,4,6,5,1] => [[1,3,4,5],[2],[6],[7],[8]] => 19
{{1,3},{2,5,8},{4,7},{6}} => [3,5,1,7,8,6,4,2] => [6,8,4,7,5,1,3,2] => [[1,2],[3,5],[4,7],[6],[8]] => 22
{{1,6},{2,4},{3,5,8},{7}} => [6,4,5,2,8,1,7,3] => [7,8,5,2,4,1,6,3] => [[1,3,6],[2,4],[5,8],[7]] => 17
{{1,2,5},{3,6},{4},{7,8}} => [2,5,6,4,1,3,8,7] => [4,6,2,1,5,3,8,7] => [[1,3,7],[2,5,8],[4,6]] => 8
{{1,3,4},{2,7},{5,6},{8}} => [3,7,4,1,6,5,2,8] => [4,1,6,5,7,3,2,8] => [[1,2,7,8],[3,5],[4],[6]] => 12
{{1,6,7},{2,8},{3},{4,5}} => [6,8,3,5,4,7,1,2] => [3,5,4,7,1,8,6,2] => [[1,2,6,8],[3,4],[5,7]] => 13
{{1,4,6},{2,3},{5,7},{8}} => [4,3,2,6,7,1,5,8] => [3,2,7,4,1,6,5,8] => [[1,4,5,8],[2,6],[3,7]] => 8
{{1,4},{2,3,6},{5,7},{8}} => [4,3,6,1,7,2,5,8] => [7,3,1,4,2,6,5,8] => [[1,2,5,8],[3,4,6],[7]] => 11
{{1,4},{2,7},{3,6,8},{5}} => [4,7,6,1,5,8,2,3] => [5,8,6,1,7,2,4,3] => [[1,2,3],[4,6,7],[5],[8]] => 20
{{1,3},{2,5,7},{4,6},{8}} => [3,5,1,6,7,4,2,8] => [7,4,6,5,1,3,2,8] => [[1,2,8],[3,5],[4],[6],[7]] => 18
{{1,5},{2,7,8},{3},{4,6}} => [5,7,3,6,1,4,8,2] => [3,6,1,8,7,4,5,2] => [[1,2,5],[3,4,7],[6],[8]] => 17
{{1,7},{2,4},{3,5,6},{8}} => [7,4,5,2,6,3,1,8] => [6,5,2,4,3,7,1,8] => [[1,3,7,8],[2],[4],[5],[6]] => 13
{{1,3},{2,4,5,6},{7,8}} => [3,4,1,5,6,2,8,7] => [6,5,4,1,3,2,8,7] => [[1,2,7],[3,8],[4],[5],[6]] => 17
{{1,4},{2,3,5,6},{7,8}} => [4,3,5,1,6,2,8,7] => [6,5,3,1,4,2,8,7] => [[1,2,7],[3,4,8],[5],[6]] => 14
{{1,3},{2,4,5,7},{6,8}} => [3,4,1,5,7,8,2,6] => [8,5,4,1,3,2,7,6] => [[1,2,6],[3,7],[4],[5],[8]] => 19
{{1,2},{3,4,5,7},{6,8}} => [2,1,4,5,7,8,3,6] => [2,1,8,5,4,3,7,6] => [[1,3,6],[2,4,7],[5],[8]] => 14
{{1,3},{2,4,5,6,7,8}} => [3,4,1,5,6,7,8,2] => [8,7,6,5,4,1,3,2] => [[1,2],[3],[4],[5],[6],[7],[8]] => 27
{{1,4},{2,3,5,6,7,8}} => [4,3,5,1,6,7,8,2] => [8,7,6,5,3,1,4,2] => [[1,2],[3,4],[5],[6],[7],[8]] => 26
{{1,2},{3,4,6,7},{5,8}} => [2,1,4,6,8,7,3,5] => [2,1,7,4,3,8,6,5] => [[1,3,5],[2,4,6],[7,8]] => 15
{{1,3},{2,4,6,7},{5,8}} => [3,4,1,6,8,7,2,5] => [7,4,1,3,2,8,6,5] => [[1,2,5],[3,6],[4,8],[7]] => 18
{{1,4},{2,3,6,7},{5,8}} => [4,3,6,1,8,7,2,5] => [7,3,1,4,2,8,6,5] => [[1,2,5],[3,4,6],[7,8]] => 17
{{1,5},{2,3,6,7},{4,8}} => [5,3,6,8,1,7,2,4] => [7,3,1,8,6,2,5,4] => [[1,2,4],[3,5],[6,8],[7]] => 21
{{1,4},{2,5},{3,6,7,8}} => [4,5,6,1,2,7,8,3] => [8,7,6,1,5,2,4,3] => [[1,2,3],[4],[5],[6],[7],[8]] => 25
{{1,3},{2,5},{4,6,7,8}} => [3,5,1,6,2,7,8,4] => [8,7,6,1,3,2,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => 23
{{1,2},{3,5},{4,6,7,8}} => [2,1,5,6,3,7,8,4] => [2,1,8,7,6,3,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => 21
{{1,2},{3,6},{4,5,7,8}} => [2,1,6,5,7,3,8,4] => [2,1,8,7,5,3,6,4] => [[1,3,4],[2,5,6],[7],[8]] => 18
{{1,5},{2,6},{3,4,7,8}} => [5,6,4,7,1,2,8,3] => [8,7,4,1,6,2,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => 24
{{1,2},{3,5,6,8},{4,7}} => [2,1,5,7,6,8,4,3] => [2,1,8,6,4,7,5,3] => [[1,3,5],[2,4,7],[6],[8]] => 15
{{1,4,5,8},{2,3,6,7}} => [4,3,6,5,8,7,2,1] => [7,5,3,2,8,6,4,1] => [[1,4],[2,6],[3,8],[5],[7]] => 16
{{1,4},{2},{3,5,6},{7,8}} => [4,2,5,1,6,3,8,7] => [2,6,5,1,4,3,8,7] => [[1,3,7],[2,4,8],[5],[6]] => 12
{{1,4,5},{2},{3,6},{7,8}} => [4,2,6,5,1,3,8,7] => [2,5,1,6,4,3,8,7] => [[1,3,6,7],[2,4,8],[5]] => 8
{{1,5},{2},{3,4,6},{7,8}} => [5,2,4,6,1,3,8,7] => [2,6,4,1,5,3,8,7] => [[1,3,5,7],[2,4,8],[6]] => 9
{{1,6,7},{2},{3,4,8},{5}} => [6,2,4,8,5,7,1,3] => [2,5,7,4,1,8,6,3] => [[1,3,6,8],[2,4],[5,7]] => 11
{{1,3,6},{2},{4},{5,7,8}} => [3,2,6,4,7,1,8,5] => [2,4,8,7,3,1,6,5] => [[1,3,5],[2,6],[4,7],[8]] => 16
{{1,2},{3,6},{4},{5,7,8}} => [2,1,6,4,7,3,8,5] => [2,1,4,8,7,3,6,5] => [[1,3,5],[2,4,6],[7],[8]] => 16
{{1,4},{2},{3,5,7,8},{6}} => [4,2,5,1,7,6,8,3] => [2,6,8,7,5,1,4,3] => [[1,3,7],[2,4],[5],[6],[8]] => 18
{{1,3,7},{2},{4},{5,6,8}} => [3,2,7,4,6,8,1,5] => [2,4,8,6,3,1,7,5] => [[1,3,5,7],[2,6],[4],[8]] => 13
{{1,2},{3,7},{4},{5,6,8}} => [2,1,7,4,6,8,3,5] => [2,1,4,8,6,3,7,5] => [[1,3,5,7],[2,4,6],[8]] => 10
{{1,4,7},{2},{3,8},{5,6}} => [4,2,8,7,6,5,1,3] => [2,6,5,7,1,8,4,3] => [[1,3,7,8],[2,4],[5],[6]] => 11
{{1,7},{2,4,5},{3},{6,8}} => [7,4,3,5,2,8,1,6] => [3,5,4,2,8,1,7,6] => [[1,4,6],[2,7],[3,8],[5]] => 12
{{1,8},{2,4},{3,5,6},{7}} => [8,4,5,2,6,3,7,1] => [6,5,2,4,3,7,8,1] => [[1,3,7,8],[2],[4],[5],[6]] => 13
{{1,5,8},{2,3},{4,6},{7}} => [5,3,2,6,8,4,7,1] => [3,2,7,8,4,6,5,1] => [[1,4,5],[2,6,8],[3],[7]] => 13
{{1},{2,5},{3,7},{4,6,8}} => [1,5,7,6,2,8,3,4] => [1,8,6,2,7,3,5,4] => [[1,2,3,4],[5,7],[6],[8]] => 20
{{1},{2},{3,6,7},{4,5,8}} => [1,2,6,5,8,7,3,4] => [1,2,7,5,3,8,6,4] => [[1,2,3,4],[5,6],[7,8]] => 20
{{1},{2,3,6,7},{4},{5,8}} => [1,3,6,4,8,7,2,5] => [1,4,7,3,2,8,6,5] => [[1,2,5,8],[3,6],[4,7]] => 12
{{1},{2,3,6},{4,8},{5,7}} => [1,3,6,8,7,2,5,4] => [1,7,3,2,8,5,6,4] => [[1,2,4,6],[3,5],[7,8]] => 17
{{1},{2},{3,6},{4,5,7,8}} => [1,2,6,5,7,3,8,4] => [1,2,8,7,5,3,6,4] => [[1,2,3,4],[5,6],[7],[8]] => 21
{{1},{2,5},{3},{4,6,7,8}} => [1,5,3,6,2,7,8,4] => [1,3,8,7,6,2,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => 23
{{1},{2,5},{3,6},{4,7,8}} => [1,5,6,7,2,3,8,4] => [1,8,7,2,6,3,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => 22
{{1},{2,5},{3,6,7},{4,8}} => [1,5,6,8,2,7,3,4] => [1,7,2,8,6,3,5,4] => [[1,2,3,4],[5,8],[6],[7]] => 19
{{1},{2},{3,5,6,7},{4,8}} => [1,2,5,8,6,7,3,4] => [1,2,7,6,3,8,5,4] => [[1,2,3,4],[5,8],[6],[7]] => 19
{{1},{2},{3,5},{4,6,7,8}} => [1,2,5,6,3,7,8,4] => [1,2,8,7,6,3,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => 22
{{1},{2,4,8},{3,5},{6,7}} => [1,4,5,8,3,7,6,2] => [1,7,6,8,3,5,4,2] => [[1,2,4],[3,8],[5],[6],[7]] => 20
{{1},{2,4},{3,6,8},{5,7}} => [1,4,6,2,7,8,5,3] => [1,8,5,7,6,2,4,3] => [[1,2,3],[4,6],[5],[7],[8]] => 23
{{1,3},{2,8},{4,5,7},{6}} => [3,8,1,5,7,6,4,2] => [6,7,5,4,8,1,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => 16
{{1,7},{2,3,4,8},{5},{6}} => [7,3,4,8,5,6,1,2] => [5,6,8,4,3,1,7,2] => [[1,2,7],[3,6],[4,8],[5]] => 15
{{1},{2},{3,7},{4,5,6,8}} => [1,2,7,5,6,8,3,4] => [1,2,8,6,5,3,7,4] => [[1,2,3,4],[5,7],[6],[8]] => 20
{{1},{2},{3,5,7},{4,6,8}} => [1,2,5,6,7,8,3,4] => [1,2,8,3,7,6,5,4] => [[1,2,3,4],[5],[6],[7],[8]] => 22
{{1},{2,6},{3,5,7},{4,8}} => [1,6,5,8,7,2,3,4] => [1,7,2,8,5,3,6,4] => [[1,2,3,4],[5,6],[7,8]] => 20
{{1},{2,6},{3,7},{4,5,8}} => [1,6,7,5,8,2,3,4] => [1,8,5,2,7,3,6,4] => [[1,2,3,4],[5,6],[7],[8]] => 21
{{1,5},{2,4,6},{3},{7,8}} => [5,4,3,6,1,2,8,7] => [3,6,4,1,5,2,8,7] => [[1,2,5,7],[3,4,8],[6]] => 11
{{1,4,5},{2,6},{3},{7,8}} => [4,6,3,5,1,2,8,7] => [3,5,1,6,4,2,8,7] => [[1,2,6,7],[3,4,8],[5]] => 10
{{1,6},{2,8},{3},{4,5,7}} => [6,8,3,5,7,1,4,2] => [3,7,5,1,8,4,6,2] => [[1,2,6],[3,4,8],[5],[7]] => 15
{{1,6},{2,4,5,8},{3},{7}} => [6,4,3,5,8,1,7,2] => [3,7,8,5,4,1,6,2] => [[1,2,6],[3,4],[5,8],[7]] => 19
{{1,5},{2,7},{3},{4,6,8}} => [5,7,3,6,1,8,2,4] => [3,8,6,1,7,2,5,4] => [[1,2,4],[3,5,7],[6],[8]] => 20
{{1,8},{2,6},{3,5,7},{4}} => [8,6,5,4,7,2,3,1] => [4,7,5,2,6,3,8,1] => [[1,3,6,8],[2,5],[4],[7]] => 11
{{1,5,8},{2,3},{4,7},{6}} => [5,3,2,7,8,6,4,1] => [3,2,6,8,4,7,5,1] => [[1,4,5],[2,6,7],[3],[8]] => 14
{{1,7},{2,3},{4,6,8},{5}} => [7,3,2,6,5,8,1,4] => [3,2,5,8,6,1,7,4] => [[1,4,6,7],[2,5],[3,8]] => 8
{{1,6,7},{2,3},{4,8},{5}} => [6,3,2,8,5,7,1,4] => [3,2,5,7,1,8,6,4] => [[1,4,6,8],[2,5],[3,7]] => 7
{{1,5},{2,6,7},{3},{4,8}} => [5,6,3,8,1,7,2,4] => [3,7,1,8,6,2,5,4] => [[1,2,4],[3,5,8],[6],[7]] => 19
{{1,6,8},{2,5},{3},{4,7}} => [6,5,3,7,2,8,4,1] => [3,8,2,5,4,7,6,1] => [[1,4,6],[2,5,7],[3],[8]] => 12
{{1,5},{2,6,8},{3},{4,7}} => [5,6,3,7,1,8,4,2] => [3,8,1,7,6,4,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => 22
{{1,7},{2,5,8},{3,6},{4}} => [7,5,6,4,8,3,1,2] => [4,8,3,6,5,1,7,2] => [[1,2,7],[3,5],[4,6],[8]] => 17
{{1,7},{2,5,6},{3},{4,8}} => [7,5,3,8,6,2,1,4] => [3,6,2,8,5,1,7,4] => [[1,4,7],[2,5,8],[3,6]] => 7
{{1,6,7},{2,5},{3},{4,8}} => [6,5,3,8,2,7,1,4] => [3,7,2,5,1,8,6,4] => [[1,4,6],[2,5,8],[3,7]] => 8
{{1,5,6},{2,7},{3},{4,8}} => [5,7,3,8,6,1,2,4] => [3,6,1,8,2,7,5,4] => [[1,2,4],[3,5,7],[6],[8]] => 20
{{1,5,6},{2,8},{3,7},{4}} => [5,8,7,4,6,1,3,2] => [4,6,1,7,3,8,5,2] => [[1,2,5,8],[3,6,7],[4]] => 11
{{1,5},{2,7,8},{3,6},{4}} => [5,7,6,4,1,3,8,2] => [4,6,1,8,7,3,5,2] => [[1,2,5],[3,6,7],[4],[8]] => 18
{{1,5},{2,7},{3,6,8},{4}} => [5,7,6,4,1,8,2,3] => [4,8,6,1,7,2,5,3] => [[1,2,3],[4,5,7],[6],[8]] => 21
{{1,7},{2,5},{3},{4,6,8}} => [7,5,3,6,2,8,1,4] => [3,8,6,2,5,1,7,4] => [[1,4,7],[2,5],[3,6],[8]] => 13
{{1,5},{2,6,7},{3,8},{4}} => [5,6,8,4,1,7,2,3] => [4,7,1,8,6,2,5,3] => [[1,2,3],[4,5,8],[6],[7]] => 20
{{1,3,8},{2,4,6},{5},{7}} => [3,4,8,6,5,2,7,1] => [5,6,2,7,8,4,3,1] => [[1,3,7,8],[2,6],[4],[5]] => 9
{{1,7},{2,8},{3,4,5},{6}} => [7,8,4,5,3,6,1,2] => [5,4,3,6,8,1,7,2] => [[1,2,7],[3,6],[4,8],[5]] => 15
{{1,2,7},{3,8},{4,5},{6}} => [2,7,8,5,4,6,1,3] => [5,4,6,8,2,1,7,3] => [[1,3,7],[2,6],[4,8],[5]] => 12
{{1,6,7},{2},{3,8},{4,5}} => [6,2,8,5,4,7,1,3] => [2,5,4,7,1,8,6,3] => [[1,3,6,8],[2,4],[5,7]] => 11
{{1,4,8},{2},{3,6,7},{5}} => [4,2,6,8,5,7,3,1] => [2,5,7,3,8,6,4,1] => [[1,3,4,8],[2,6],[5],[7]] => 13
{{1,5,6},{2},{3,4,8},{7}} => [5,2,4,8,6,1,7,3] => [2,6,4,1,7,8,5,3] => [[1,3,5,8],[2,4],[6,7]] => 12
{{1,6,7},{2},{3,5,8},{4}} => [6,2,5,4,8,7,1,3] => [2,4,7,5,1,8,6,3] => [[1,3,5,6],[2,4],[7,8]] => 14
{{1,4},{2},{3,5,7},{6,8}} => [4,2,5,1,7,8,3,6] => [2,8,5,1,4,3,7,6] => [[1,3,6],[2,4,7],[5],[8]] => 14
{{1,5,8},{2},{3,4,7},{6}} => [5,2,4,7,8,6,3,1] => [2,6,8,4,3,7,5,1] => [[1,3,5],[2,7],[4,8],[6]] => 14
{{1,2},{3,4,7},{5},{6,8}} => [2,1,4,7,5,8,3,6] => [2,1,5,8,4,3,7,6] => [[1,3,6],[2,4,7],[5,8]] => 13
{{1,2,5},{3},{4,7},{6,8}} => [2,5,3,7,1,8,4,6] => [3,8,2,1,5,4,7,6] => [[1,4,6],[2,5,7],[3,8]] => 9
{{1,2,5},{3},{4,6,8},{7}} => [2,5,3,6,1,8,7,4] => [3,7,8,6,2,1,5,4] => [[1,4,8],[2,5],[3,6],[7]] => 12
{{1,3},{2,8},{4,5,6},{7}} => [3,8,1,5,6,4,7,2] => [6,5,4,7,8,1,3,2] => [[1,2,8],[3,7],[4],[5],[6]] => 16
{{1,3},{2,4,7},{5},{6,8}} => [3,4,1,7,5,8,2,6] => [5,8,4,1,3,2,7,6] => [[1,2,6],[3,7],[4,8],[5]] => 16
{{1,6},{2,3,4,8},{5},{7}} => [6,3,4,8,5,1,7,2] => [5,7,8,4,3,1,6,2] => [[1,2,8],[3,6],[4,7],[5]] => 14
{{1,4},{2,5,6},{3,8},{7}} => [4,5,8,1,6,2,7,3] => [6,1,7,8,5,2,4,3] => [[1,2,3],[4,7,8],[5],[6]] => 18
{{1,6},{2,8},{3,4,5},{7}} => [6,8,4,5,3,1,7,2] => [5,4,3,7,8,1,6,2] => [[1,2,8],[3,6],[4,7],[5]] => 14
{{1,4,6},{2},{3,5},{7,8}} => [4,2,5,6,3,1,8,7] => [2,6,3,5,4,1,8,7] => [[1,3,4,7],[2,8],[5],[6]] => 13
{{1,2},{3,5,8},{4,6},{7}} => [2,1,5,6,8,4,7,3] => [2,1,7,8,4,6,5,3] => [[1,3,5],[2,4,8],[6],[7]] => 14
{{1,2,7},{3,5},{4},{6,8}} => [2,7,5,4,3,8,1,6] => [4,5,3,8,2,1,7,6] => [[1,5,6],[2,7],[3,8],[4]] => 11
{{1,3,7},{2,4},{5},{6,8}} => [3,4,7,2,5,8,1,6] => [5,8,2,4,3,1,7,6] => [[1,3,6],[2,7],[4,8],[5]] => 13
{{1},{2,3,4,7},{5},{6,8}} => [1,3,4,7,5,8,2,6] => [1,5,8,4,3,2,7,6] => [[1,2,6],[3,7],[4,8],[5]] => 16
{{1},{2,4,5},{3,7},{6,8}} => [1,4,7,5,2,8,3,6] => [1,5,2,8,4,3,7,6] => [[1,2,3,6],[4,7],[5,8]] => 16
{{1},{2,3,5},{4,7},{6,8}} => [1,3,5,7,2,8,4,6] => [1,8,3,2,5,4,7,6] => [[1,2,4,6],[3,5,7],[8]] => 16
{{1,3,5,7,9},{2,4,6,8,10}} => [3,4,5,6,7,8,9,10,1,2] => [10,1,9,8,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => 44
{{1,2,3,4,5},{6,7,8,9,10}} => [2,3,4,5,1,7,8,9,10,6] => [5,4,3,2,1,10,9,8,7,6] => [[1,6],[2,7],[3,8],[4,9],[5,10]] => 20
{{1,2,3,4,5,6},{7,8,9,10,11,12}} => [2,3,4,5,6,1,8,9,10,11,12,7] => [6,5,4,3,2,1,12,11,10,9,8,7] => [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]] => 30
{{1,4,6,7},{2,3,5,8}} => [4,3,5,6,8,7,1,2] => [7,3,1,8,6,5,4,2] => [[1,2],[3,4],[5,8],[6],[7]] => 23
{{1,6},{2,4},{3,7,8},{5}} => [6,4,7,2,5,1,8,3] => [5,8,7,2,4,1,6,3] => [[1,3,6],[2,4],[5,7],[8]] => 18
{{1,6},{2,4},{3,7},{5},{8}} => [6,4,7,2,5,1,3,8] => [5,7,2,4,1,6,3,8] => [[1,3,6,8],[2,4],[5,7]] => 11
{{1,5,6},{2,3,4,7,8}} => [5,3,4,7,6,1,8,2] => [6,4,3,1,8,7,5,2] => [[1,2],[3,5],[4,7],[6,8]] => 19
{{1,5,6,7},{2,3,4,8}} => [5,3,4,8,6,7,1,2] => [7,6,4,3,1,8,5,2] => [[1,2],[3,5],[4,8],[6],[7]] => 21
{{1,7},{2,8},{3,4},{5},{6}} => [7,8,4,3,5,6,1,2] => [4,3,5,6,8,1,7,2] => [[1,2,6,7],[3,5],[4,8]] => 12
{{1,5,6,7},{2,4,8},{3}} => [5,4,3,8,6,7,1,2] => [3,7,6,4,1,8,5,2] => [[1,2,5],[3,4],[6,8],[7]] => 20
{{1,5,7},{2,4,6,8},{3}} => [5,4,3,6,7,8,1,2] => [3,8,4,1,7,6,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => 22
{{1,5},{2,3},{4,6,7},{8}} => [5,3,2,6,1,7,4,8] => [3,2,7,6,1,5,4,8] => [[1,4,8],[2,5],[3,6],[7]] => 12
{{1,5},{2,3},{4,6,7,8}} => [5,3,2,6,1,7,8,4] => [3,2,8,7,6,1,5,4] => [[1,4],[2,5],[3,6],[7],[8]] => 19
{{1,5},{2,3},{4,6,8},{7}} => [5,3,2,6,1,8,7,4] => [3,2,7,8,6,1,5,4] => [[1,4,8],[2,5],[3,6],[7]] => 12
{{1,6},{2,4},{3,8},{5},{7}} => [6,4,8,2,5,1,7,3] => [5,7,8,2,4,1,6,3] => [[1,3,6],[2,4,8],[5,7]] => 12
{{1,5},{2,3},{4,6},{7},{8}} => [5,3,2,6,1,4,7,8] => [3,2,6,1,5,4,7,8] => [[1,4,7,8],[2,5],[3,6]] => 6
{{1,5},{2,3},{4,7,8},{6}} => [5,3,2,7,1,6,8,4] => [3,2,6,8,7,1,5,4] => [[1,4,7],[2,5],[3,6],[8]] => 13
{{1,5},{2,3},{4,8},{6},{7}} => [5,3,2,8,1,6,7,4] => [3,2,6,7,8,1,5,4] => [[1,4,7,8],[2,5],[3,6]] => 6
{{1,5},{2,3},{4,7},{6},{8}} => [5,3,2,7,1,6,4,8] => [3,2,6,7,1,5,4,8] => [[1,4,7,8],[2,5],[3,6]] => 6
{{1,6},{2,4},{3,5,7,8}} => [6,4,5,2,7,1,8,3] => [8,7,5,2,4,1,6,3] => [[1,3,6],[2,4],[5],[7],[8]] => 19
{{1,6},{2,5},{3,4,7,8}} => [6,5,4,7,2,1,8,3] => [8,7,4,2,5,1,6,3] => [[1,3,6],[2,5],[4],[7],[8]] => 18
{{1,3},{2},{4,7},{5,8},{6}} => [3,2,1,7,8,6,4,5] => [2,3,1,6,8,4,7,5] => [[1,3,4,5],[2,6,7],[8]] => 14
{{1,4,8},{2,6,7},{3},{5}} => [4,6,3,8,5,7,2,1] => [3,5,7,2,8,6,4,1] => [[1,4,6,8],[2,5],[3],[7]] => 10
{{1,5,8},{2,3,7},{4},{6}} => [5,3,7,4,8,6,2,1] => [4,6,8,3,2,7,5,1] => [[1,5,7],[2,6],[3,8],[4]] => 10
{{1},{2,5,8},{3,7},{4},{6}} => [1,5,7,4,8,6,3,2] => [1,4,6,8,3,7,5,2] => [[1,2,5,7],[3,6],[4],[8]] => 15
{{1,7},{2,5},{3,4,6},{8}} => [7,5,4,6,2,3,1,8] => [6,4,2,5,3,7,1,8] => [[1,3,7,8],[2,5],[4],[6]] => 10
{{1},{2,8},{3,6},{4,5,7}} => [1,8,6,5,7,3,4,2] => [1,7,5,3,6,4,8,2] => [[1,2,4,8],[3,6],[5],[7]] => 15
{{1},{2,5},{3,6,8},{4},{7}} => [1,5,6,4,2,8,7,3] => [1,4,7,8,6,2,5,3] => [[1,2,3,8],[4,5],[6],[7]] => 17
{{1},{2,6,7},{3,4,8},{5}} => [1,6,4,8,5,7,2,3] => [1,5,7,4,2,8,6,3] => [[1,2,3,8],[4,6],[5,7]] => 14
{{1},{2,6},{3,7},{4,8},{5}} => [1,6,7,8,5,2,3,4] => [1,5,8,2,7,3,6,4] => [[1,2,3,4],[5,6],[7],[8]] => 21
{{1},{2,6},{3,7},{4},{5},{8}} => [1,6,7,4,5,2,3,8] => [1,4,5,7,2,6,3,8] => [[1,2,3,6,8],[4,5],[7]] => 12
{{1},{2,5,6},{3,4,7},{8}} => [1,5,4,7,6,2,3,8] => [1,6,4,2,7,5,3,8] => [[1,2,3,8],[4,5],[6,7]] => 16
{{1,6,7},{2,3,8},{4},{5}} => [6,3,8,4,5,7,1,2] => [4,5,7,3,1,8,6,2] => [[1,2,6,8],[3,5],[4,7]] => 11
{{1},{2,4,6},{3,5,7},{8}} => [1,4,5,6,7,2,3,8] => [1,7,2,6,5,4,3,8] => [[1,2,3,8],[4],[5],[6],[7]] => 18
{{1},{2,3,5},{4,6,7},{8}} => [1,3,5,6,2,7,4,8] => [1,7,6,3,2,5,4,8] => [[1,2,4,8],[3,5],[6],[7]] => 16
{{1,4,6},{2},{3,5,8},{7}} => [4,2,5,6,8,1,7,3] => [2,7,8,1,6,5,4,3] => [[1,3,8],[2,4],[5],[6],[7]] => 17
{{1,6},{2},{3,8},{4},{5},{7}} => [6,2,8,4,5,1,7,3] => [2,4,5,7,8,1,6,3] => [[1,3,5,6,8],[2,4],[7]] => 8
{{1},{2},{3,5},{4,6},{7},{8}} => [1,2,5,6,3,4,7,8] => [1,2,6,3,5,4,7,8] => [[1,2,3,4,7,8],[5],[6]] => 9
{{1,5},{2},{3},{4,8},{6},{7}} => [5,2,3,8,1,6,7,4] => [2,3,6,7,8,1,5,4] => [[1,3,4,7,8],[2,5],[6]] => 8
{{1},{2,5},{3},{4,7},{6},{8}} => [1,5,3,7,2,6,4,8] => [1,3,6,7,2,5,4,8] => [[1,2,4,7,8],[3,5],[6]] => 10
{{1,2,7},{3},{4,5,8},{6}} => [2,7,3,5,8,6,1,4] => [3,6,8,5,2,1,7,4] => [[1,4,7],[2,5],[3,8],[6]] => 12
{{1},{2,4,8},{3,7},{5,6}} => [1,4,7,8,6,5,3,2] => [1,6,5,8,3,7,4,2] => [[1,2,4],[3,7],[5,8],[6]] => 18
{{1},{2,4},{3,7,8},{5,6}} => [1,4,7,2,6,5,8,3] => [1,6,5,8,7,2,4,3] => [[1,2,3],[4,7],[5,8],[6]] => 19
{{1},{2,6,8},{3,4},{5,7}} => [1,6,4,3,7,8,5,2] => [1,4,3,8,5,7,6,2] => [[1,2,5,6],[3,7],[4],[8]] => 16
{{1,3,6,8},{2},{4,7},{5}} => [3,2,6,7,5,8,4,1] => [2,5,8,4,7,6,3,1] => [[1,3,6],[2,7],[4],[5],[8]] => 17
{{1,3,4},{2},{5,7},{6,8}} => [3,2,4,1,7,8,5,6] => [2,4,3,1,8,5,7,6] => [[1,3,5,6],[2,7],[4,8]] => 11
{{1,3},{2,4},{5,7,8},{6}} => [3,4,1,2,7,6,8,5] => [4,1,3,2,6,8,7,5] => [[1,2,5,7],[3,6],[4,8]] => 13
{{1,5},{2,6,7,8},{3},{4}} => [5,6,3,4,1,7,8,2] => [3,4,8,7,6,1,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => 22
{{1,5},{2},{3,6,7,8},{4}} => [5,2,6,4,1,7,8,3] => [2,4,8,7,6,1,5,3] => [[1,3,5],[2,4],[6],[7],[8]] => 20
{{1,5},{2,4,6},{3,8},{7}} => [5,4,8,6,1,2,7,3] => [6,1,7,8,4,2,5,3] => [[1,2,3],[4,5,8],[6,7]] => 19
{{1,4,5},{2},{3,7},{6,8}} => [4,2,7,5,1,8,3,6] => [2,5,1,8,4,3,7,6] => [[1,3,6],[2,4,7],[5,8]] => 13
{{1,6},{2,3,8},{4},{5,7}} => [6,3,8,4,7,1,5,2] => [4,7,3,1,8,5,6,2] => [[1,2,6],[3,5,8],[4,7]] => 12
{{1},{2,6},{3,4,8},{5,7}} => [1,6,4,8,7,2,5,3] => [1,7,4,2,8,5,6,3] => [[1,2,3,6],[4,5],[7,8]] => 18
{{1},{2,3},{4,5,7},{6,8}} => [1,3,2,5,7,8,4,6] => [1,3,2,8,5,4,7,6] => [[1,2,4,6],[3,5,7],[8]] => 16
{{1},{2,3},{4,6,8},{5,7}} => [1,3,2,6,7,8,5,4] => [1,3,2,8,5,7,6,4] => [[1,2,4,6],[3,5],[7],[8]] => 18
{{1},{2,3,5,6},{4,7},{8}} => [1,3,5,7,6,2,4,8] => [1,6,3,2,7,5,4,8] => [[1,2,4,8],[3,5],[6,7]] => 15
{{1},{2,3,5,7},{4,8},{6}} => [1,3,5,8,7,6,2,4] => [1,6,7,3,2,8,5,4] => [[1,2,4,8],[3,5],[6,7]] => 15
{{1},{2,3,7},{4,6},{5,8}} => [1,3,7,6,8,4,2,5] => [1,8,4,6,3,2,7,5] => [[1,2,5,7],[3,6],[4],[8]] => 15
{{1,3},{2,5,7,8},{4,6}} => [3,5,1,6,7,4,8,2] => [8,7,4,6,5,1,3,2] => [[1,2],[3,5],[4],[6],[7],[8]] => 25
{{1,4,5,7},{2},{3,6},{8}} => [4,2,6,5,7,3,1,8] => [2,7,5,3,6,4,1,8] => [[1,3,4,8],[2,6],[5],[7]] => 13
{{1,4,8},{2},{3,5,7},{6}} => [4,2,5,8,7,6,3,1] => [2,6,7,3,8,5,4,1] => [[1,3,4,8],[2,7],[5],[6]] => 12
{{1,3,8},{2,5,7},{4},{6}} => [3,5,8,4,7,6,2,1] => [4,6,7,2,8,5,3,1] => [[1,3,7,8],[2,5],[4],[6]] => 10
{{1,4,8},{2,6},{3},{5,7}} => [4,6,3,8,7,2,5,1] => [3,7,2,8,5,6,4,1] => [[1,4,6],[2,5,8],[3],[7]] => 11
{{1,7},{2,4},{3,5,6,8}} => [7,4,5,2,6,8,1,3] => [8,6,5,2,4,1,7,3] => [[1,3,7],[2,4],[5],[6],[8]] => 18
{{1,4},{2,7},{3,5,6,8}} => [4,7,5,1,6,8,2,3] => [8,6,5,1,7,2,4,3] => [[1,2,3],[4,7],[5],[6],[8]] => 22
{{1,4,8},{2,6},{3,5,7}} => [4,6,5,8,7,2,3,1] => [7,2,8,5,3,6,4,1] => [[1,3,4],[2,6],[5,8],[7]] => 16
{{1,3,8},{2,5,7},{4,6}} => [3,5,8,6,7,4,2,1] => [7,4,6,2,8,5,3,1] => [[1,3,8],[2,5],[4],[6],[7]] => 16
{{1,6},{2,4,5},{3,7},{8}} => [6,4,7,5,2,1,3,8] => [5,2,7,4,1,6,3,8] => [[1,3,6,8],[2,4],[5,7]] => 11
{{1},{2,7},{3,5,6},{4,8}} => [1,7,5,8,6,3,2,4] => [1,6,3,8,5,2,7,4] => [[1,2,4,7],[3,5],[6,8]] => 16
{{1,4,7},{2,5,6},{3},{8}} => [4,5,3,7,6,2,1,8] => [3,6,2,7,5,4,1,8] => [[1,4,7,8],[2,5],[3],[6]] => 9
{{1,5,7},{2,3,6},{4},{8}} => [5,3,6,4,7,2,1,8] => [4,7,3,2,6,5,1,8] => [[1,5,8],[2,6],[3,7],[4]] => 9
{{1,4},{2,3,8},{5,6},{7}} => [4,3,8,1,6,5,7,2] => [6,5,7,8,3,1,4,2] => [[1,2,8],[3,4],[5,7],[6]] => 17
{{1,2,6},{3,8},{4},{5,7}} => [2,6,8,4,7,1,5,3] => [4,7,2,1,8,5,6,3] => [[1,3,6],[2,5,8],[4,7]] => 9
{{1},{2,6},{3,8},{4},{5,7}} => [1,6,8,4,7,2,5,3] => [1,4,7,2,8,5,6,3] => [[1,2,3,6],[4,5,8],[7]] => 16
{{1},{2,5,6,7},{3,4,8}} => [1,5,4,8,6,7,2,3] => [1,7,6,4,2,8,5,3] => [[1,2,3],[4,5],[6,8],[7]] => 22
{{1,7},{2,8},{3},{4},{5,6}} => [7,8,3,4,6,5,1,2] => [3,4,6,5,8,1,7,2] => [[1,2,5,7],[3,4],[6,8]] => 15
{{1,5,7},{2,3,4,8},{6}} => [5,3,4,8,7,6,1,2] => [6,7,4,3,1,8,5,2] => [[1,2,8],[3,5],[4,7],[6]] => 15
{{1},{2,3,5},{4,8},{6,7}} => [1,3,5,8,2,7,6,4] => [1,7,6,8,3,2,5,4] => [[1,2,4],[3,5],[6,8],[7]] => 21
{{1,2,3,5},{4,8},{6,7}} => [2,3,5,8,1,7,6,4] => [7,6,8,3,2,1,5,4] => [[1,4],[2,5],[3,8],[6],[7]] => 17
{{1,3,5},{2},{4,8},{6,7}} => [3,2,5,8,1,7,6,4] => [2,7,6,8,3,1,5,4] => [[1,3,4],[2,5],[6,8],[7]] => 19
{{1,5,6,7},{2},{3,4,8}} => [5,2,4,8,6,7,1,3] => [2,7,6,4,1,8,5,3] => [[1,3,5],[2,4],[6,8],[7]] => 18
{{1,6},{2},{3,8},{4},{5,7}} => [6,2,8,4,7,1,5,3] => [2,4,7,1,8,5,6,3] => [[1,3,5,6],[2,4,8],[7]] => 10
{{1},{2},{3,5},{4,8},{6,7}} => [1,2,5,8,3,7,6,4] => [1,2,7,6,8,3,5,4] => [[1,2,3,4],[5,8],[6],[7]] => 19
{{1,2,5},{3},{4,8},{6,7}} => [2,5,3,8,1,7,6,4] => [3,7,6,8,2,1,5,4] => [[1,4,8],[2,5],[3,6],[7]] => 12
{{1,5},{2},{3},{4,8},{6,7}} => [5,2,3,8,1,7,6,4] => [2,3,7,6,8,1,5,4] => [[1,3,4,8],[2,5],[6],[7]] => 14
{{1},{2,5},{3},{4,8},{6,7}} => [1,5,3,8,2,7,6,4] => [1,3,7,6,8,2,5,4] => [[1,2,4,8],[3,5],[6],[7]] => 16
{{1},{2,7},{3,8},{4,5,6}} => [1,7,8,5,6,4,2,3] => [1,6,5,4,8,2,7,3] => [[1,2,3],[4,7],[5,8],[6]] => 19
{{1,6},{2,3,5},{4,7},{8}} => [6,3,5,7,2,1,4,8] => [7,3,2,5,1,6,4,8] => [[1,4,6,8],[2,5],[3],[7]] => 10
{{1,4,6},{2,7},{3},{5,8}} => [4,7,3,6,8,1,2,5] => [3,8,1,6,4,2,7,5] => [[1,2,5],[3,4,7],[6],[8]] => 17
{{1},{2,5},{3,8},{4,6,7}} => [1,5,8,6,2,7,4,3] => [1,7,6,2,8,4,5,3] => [[1,2,3,5],[4,8],[6],[7]] => 18
{{1,4,7},{2,3},{5},{6,8}} => [4,3,2,7,5,8,1,6] => [3,2,5,8,4,1,7,6] => [[1,4,6],[2,5,7],[3,8]] => 9
{{1},{2,5,7},{3,4,8},{6}} => [1,5,4,8,7,6,2,3] => [1,6,7,4,2,8,5,3] => [[1,2,3,8],[4,5],[6,7]] => 16
{{1},{2,4},{3,5},{6,7},{8}} => [1,4,5,2,3,7,6,8] => [1,5,2,4,3,7,6,8] => [[1,2,3,6,8],[4,7],[5]] => 11
{{1},{2,4,8},{3,5},{6},{7}} => [1,4,5,8,3,6,7,2] => [1,6,7,8,3,5,4,2] => [[1,2,4,8],[3,7],[5],[6]] => 14
{{1},{2,5,7},{3,8},{4,6}} => [1,5,8,6,7,4,2,3] => [1,7,4,6,2,8,5,3] => [[1,2,3,8],[4,5],[6],[7]] => 17
{{1},{2,5},{3,6},{4,7},{8}} => [1,5,6,7,2,3,4,8] => [1,7,2,6,3,5,4,8] => [[1,2,3,4,8],[5],[6],[7]] => 15
{{1},{2,5},{3,6,8},{4,7}} => [1,5,6,7,2,8,4,3] => [1,8,2,7,6,4,5,3] => [[1,2,3,5],[4],[6],[7],[8]] => 21
{{1,5,6},{2},{3,7,8},{4}} => [5,2,7,4,6,1,8,3] => [2,4,6,1,8,7,5,3] => [[1,3,5,7],[2,4],[6],[8]] => 14
{{1,4,7},{2},{3,5,8},{6}} => [4,2,5,7,8,6,1,3] => [2,6,8,1,7,5,4,3] => [[1,3,7],[2,4],[5],[6],[8]] => 18
{{1,5},{2,3,7,8},{4},{6}} => [5,3,7,4,1,6,8,2] => [4,6,8,7,3,1,5,2] => [[1,2,7],[3,5],[4,6],[8]] => 17
{{1,2},{3},{4,6},{5,7,8}} => [2,1,3,6,7,4,8,5] => [2,1,3,8,7,4,6,5] => [[1,3,4,5],[2,6],[7],[8]] => 17
{{1},{2,5,6,8},{3},{4,7}} => [1,5,3,7,6,8,4,2] => [1,3,8,6,4,7,5,2] => [[1,2,4,5],[3,7],[6],[8]] => 18
{{1},{2},{3,5,6,8},{4,7}} => [1,2,5,7,6,8,4,3] => [1,2,8,6,4,7,5,3] => [[1,2,3,5],[4,7],[6],[8]] => 19
{{1,4,7},{2},{3,6,8},{5}} => [4,2,6,7,5,8,1,3] => [2,5,8,1,7,6,4,3] => [[1,3,6],[2,4],[5],[7],[8]] => 19
{{1,4},{2,3,7,8},{5},{6}} => [4,3,7,1,5,6,8,2] => [5,6,8,7,3,1,4,2] => [[1,2,7],[3,4],[5,6],[8]] => 19
{{1,5,7},{2,6},{3,4},{8}} => [5,6,4,3,7,2,1,8] => [4,3,7,2,6,5,1,8] => [[1,5,8],[2,6],[3,7],[4]] => 9
{{1,6},{2,5,8},{3,4,7}} => [6,5,4,7,8,1,3,2] => [8,4,1,7,5,3,6,2] => [[1,2,6],[3,5],[4],[7],[8]] => 20
{{1,3,6,7},{2,4,5,8}} => [3,4,6,5,8,7,1,2] => [7,5,1,8,6,4,3,2] => [[1,2],[3,6],[4,8],[5],[7]] => 20
{{1},{2,5,6,7},{3},{4,8}} => [1,5,3,8,6,7,2,4] => [1,3,7,6,2,8,5,4] => [[1,2,4,8],[3,5],[6],[7]] => 16
{{1,5},{2,7},{3,4,6,8}} => [5,7,4,6,1,8,2,3] => [8,6,4,1,7,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => 23
{{1,7},{2,4,5},{3,6,8}} => [7,4,6,5,2,8,1,3] => [5,2,8,6,4,1,7,3] => [[1,3,7],[2,4],[5,6],[8]] => 17
{{1},{2,4,5,8},{3,7},{6}} => [1,4,7,5,8,6,3,2] => [1,6,8,5,3,7,4,2] => [[1,2,4],[3,7],[5,8],[6]] => 18
{{1,3,5,6},{2},{4,8},{7}} => [3,2,5,8,6,1,7,4] => [2,6,3,1,7,8,5,4] => [[1,3,4,8],[2,5],[6,7]] => 13
{{1},{2,4,6,7},{3,8},{5}} => [1,4,8,6,5,7,2,3] => [1,5,7,6,2,8,4,3] => [[1,2,3,8],[4,6],[5],[7]] => 16
{{1,3},{2,5},{4,7,8},{6}} => [3,5,1,7,2,6,8,4] => [6,8,7,1,3,2,5,4] => [[1,2,4],[3,5],[6,7],[8]] => 22
{{1,7},{2,6},{3},{4,5,8}} => [7,6,3,5,8,2,1,4] => [3,8,5,2,6,1,7,4] => [[1,4,6,7],[2,5],[3],[8]] => 11
{{1,4,5},{2,8},{3,7},{6}} => [4,8,7,5,1,6,3,2] => [5,1,6,7,3,8,4,2] => [[1,2,4,8],[3,6,7],[5]] => 12
{{1,2},{3,5},{4,7,8},{6}} => [2,1,5,7,3,6,8,4] => [2,1,6,8,7,3,5,4] => [[1,3,4],[2,5,7],[6],[8]] => 17
{{1},{2,4,5,8},{3,6},{7}} => [1,4,6,5,8,3,7,2] => [1,7,8,5,3,6,4,2] => [[1,2,4],[3,6],[5,8],[7]] => 19
{{1},{2,4},{3,6},{5,8},{7}} => [1,4,6,2,8,3,7,5] => [1,7,8,2,4,3,6,5] => [[1,2,3,5],[4,6],[7,8]] => 19
{{1,3},{2,5},{4},{6,8},{7}} => [3,5,1,4,2,8,7,6] => [4,5,1,3,2,7,8,6] => [[1,2,6,8],[3,5,7],[4]] => 8
{{1},{2,4,5,6},{3,8},{7}} => [1,4,8,5,6,2,7,3] => [1,6,5,2,7,8,4,3] => [[1,2,3,8],[4,7],[5],[6]] => 15
{{1},{2,8},{3,5},{4,7},{6}} => [1,8,5,7,3,6,4,2] => [1,6,7,3,5,4,8,2] => [[1,2,4,8],[3,7],[5],[6]] => 14
{{1},{2,5,7,8},{3,6},{4}} => [1,5,6,4,7,3,8,2] => [1,4,8,7,3,6,5,2] => [[1,2,5],[3,6],[4],[7],[8]] => 21
{{1,3},{2,6,7,8},{4},{5}} => [3,6,1,4,5,7,8,2] => [4,5,8,7,6,1,3,2] => [[1,2,6],[3,5],[4],[7],[8]] => 20
{{1},{2,4},{3,8},{5,7},{6}} => [1,4,8,2,7,6,5,3] => [1,6,7,5,8,2,4,3] => [[1,2,3,8],[4,7],[5],[6]] => 15
{{1,4,7},{2,3,5},{6},{8}} => [4,3,5,7,2,6,1,8] => [6,7,3,2,5,4,1,8] => [[1,4,8],[2,5],[3,7],[6]] => 11
{{1},{2,3,6},{4,5,7},{8}} => [1,3,6,5,7,2,4,8] => [1,7,5,3,2,6,4,8] => [[1,2,4,8],[3,6],[5],[7]] => 15
{{1,6},{2,5,7},{3,4},{8}} => [6,5,4,3,7,1,2,8] => [4,3,7,5,1,6,2,8] => [[1,2,6,8],[3,5],[4,7]] => 11
{{1,4},{2,3,5},{6,8},{7}} => [4,3,5,1,2,8,7,6] => [5,3,1,4,2,7,8,6] => [[1,2,6,8],[3,4,7],[5]] => 9
{{1},{2,5,8},{3,4,7},{6}} => [1,5,4,7,8,6,3,2] => [1,6,8,4,3,7,5,2] => [[1,2,5],[3,7],[4,8],[6]] => 17
{{1},{2,3,7},{4,6,8},{5}} => [1,3,7,6,5,8,2,4] => [1,5,8,6,3,2,7,4] => [[1,2,4,7],[3,6],[5],[8]] => 16
{{1},{2,3,7},{4,5,8},{6}} => [1,3,7,5,8,6,2,4] => [1,6,8,5,3,2,7,4] => [[1,2,4],[3,7],[5,8],[6]] => 18
{{1,4,8},{2},{3,5},{6,7}} => [4,2,5,8,3,7,6,1] => [2,7,6,8,3,5,4,1] => [[1,3,4],[2,8],[5],[6],[7]] => 18
{{1,4},{2,3,5,8},{6},{7}} => [4,3,5,1,8,6,7,2] => [6,7,8,5,3,1,4,2] => [[1,2,8],[3,4],[5,7],[6]] => 17
{{1,2},{3,6,8},{4},{5,7}} => [2,1,6,4,7,8,5,3] => [2,1,4,8,5,7,6,3] => [[1,3,5,6],[2,4],[7],[8]] => 15
{{1,2},{3},{4},{5},{6},{7},{8},{9}} => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2]] => 1
{{1,3},{2},{4},{5},{6},{7},{8},{9}} => [3,2,1,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2]] => 1
{{1,4},{2},{3},{5},{6},{7},{8},{9}} => [4,2,3,1,5,6,7,8,9] => [2,3,4,1,5,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2]] => 1
{{1,5},{2},{3},{4},{6},{7},{8},{9}} => [5,2,3,4,1,6,7,8,9] => [2,3,4,5,1,6,7,8,9] => [[1,3,4,5,6,7,8,9],[2]] => 1
{{1,6},{2},{3},{4},{5},{7},{8},{9}} => [6,2,3,4,5,1,7,8,9] => [2,3,4,5,6,1,7,8,9] => [[1,3,4,5,6,7,8,9],[2]] => 1
{{1,7},{2},{3},{4},{5},{6},{8},{9}} => [7,2,3,4,5,6,1,8,9] => [2,3,4,5,6,7,1,8,9] => [[1,3,4,5,6,7,8,9],[2]] => 1
{{1,8},{2},{3},{4},{5},{6},{7},{9}} => [8,2,3,4,5,6,7,1,9] => [2,3,4,5,6,7,8,1,9] => [[1,3,4,5,6,7,8,9],[2]] => 1
{{1,2},{3},{4},{5},{6},{7},{8},{9},{10}} => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [[1,3,4,5,6,7,8,9,10],[2]] => 1
{{1,2,3},{4},{5},{6},{7},{8},{9}} => [2,3,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => [[1,4,5,6,7,8,9],[2],[3]] => 3
{{1,3},{2},{4},{5},{6},{7},{8},{9},{10}} => [3,2,1,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10] => [[1,3,4,5,6,7,8,9,10],[2]] => 1
{{1,8,9},{2},{3},{4},{5},{6},{7}} => [8,2,3,4,5,6,7,9,1] => [2,3,4,5,6,7,9,8,1] => [[1,3,4,5,6,7,8],[2],[9]] => 9
{{1,9},{2},{3},{4},{5},{6},{7},{8},{10}} => [9,2,3,4,5,6,7,8,1,10] => [2,3,4,5,6,7,8,9,1,10] => [[1,3,4,5,6,7,8,9,10],[2]] => 1
{{1,8},{2},{3,6},{4,5,7}} => [8,2,6,5,7,3,4,1] => [2,7,5,3,6,4,8,1] => [[1,3,4,8],[2,6],[5],[7]] => 13
{{1,5,8},{2},{3,4,6},{7}} => [5,2,4,6,8,3,7,1] => [2,7,8,4,3,6,5,1] => [[1,3,5],[2,6],[4,8],[7]] => 15
{{1,3},{2,4,8},{5},{6,7}} => [3,4,1,8,5,7,6,2] => [5,7,6,8,4,1,3,2] => [[1,2,8],[3,6],[4],[5],[7]] => 17
{{1,5},{2,6},{3,4,7},{8}} => [5,6,4,7,1,2,3,8] => [7,4,1,6,2,5,3,8] => [[1,2,3,8],[4,5],[6],[7]] => 17
{{1,4,5},{2,3,6},{7},{8}} => [4,3,6,5,1,2,7,8] => [5,3,1,6,4,2,7,8] => [[1,2,7,8],[3,4],[5,6]] => 12
{{1,5},{2,3,6},{4,7},{8}} => [5,3,6,7,1,2,4,8] => [7,3,1,6,2,5,4,8] => [[1,2,4,8],[3,5],[6],[7]] => 16
{{1,5,7},{2,3},{4,6},{8}} => [5,3,2,6,7,4,1,8] => [3,2,7,4,6,5,1,8] => [[1,4,5,8],[2,6],[3],[7]] => 11
{{1,2,3,4,5,6,7,8,9}} => [2,3,4,5,6,7,8,9,1] => [9,8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => 36
{{1,2,3,4,5,6,7},{8,9}} => [2,3,4,5,6,7,1,9,8] => [7,6,5,4,3,2,1,9,8] => [[1,8],[2,9],[3],[4],[5],[6],[7]] => 22
{{1,2,3,4,5,6,7},{8},{9}} => [2,3,4,5,6,7,1,8,9] => [7,6,5,4,3,2,1,8,9] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 21
{{1,2,3,4,5,6},{7,8,9}} => [2,3,4,5,6,1,8,9,7] => [6,5,4,3,2,1,9,8,7] => [[1,7],[2,8],[3,9],[4],[5],[6]] => 18
{{1,2,3,4,5,6},{7},{8},{9}} => [2,3,4,5,6,1,7,8,9] => [6,5,4,3,2,1,7,8,9] => [[1,7,8,9],[2],[3],[4],[5],[6]] => 15
{{1,2,3,4,5},{6,7,8,9}} => [2,3,4,5,1,7,8,9,6] => [5,4,3,2,1,9,8,7,6] => [[1,6],[2,7],[3,8],[4,9],[5]] => 16
{{1,2,3,4,5},{6},{7},{8},{9}} => [2,3,4,5,1,6,7,8,9] => [5,4,3,2,1,6,7,8,9] => [[1,6,7,8,9],[2],[3],[4],[5]] => 10
{{1,2,3,4},{5},{6},{7},{8},{9}} => [2,3,4,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9] => [[1,5,6,7,8,9],[2],[3],[4]] => 6
{{1,2,3},{4,5},{6,7},{8,9}} => [2,3,1,5,4,7,6,9,8] => [3,2,1,5,4,7,6,9,8] => [[1,4,6,8],[2,5,7,9],[3]] => 6
{{1,2},{3,4},{5,6},{7,8},{9}} => [2,1,4,3,6,5,8,7,9] => [2,1,4,3,6,5,8,7,9] => [[1,3,5,7,9],[2,4,6,8]] => 4
{{1,2},{3,4},{5},{6},{7},{8},{9}} => [2,1,4,3,5,6,7,8,9] => [2,1,4,3,5,6,7,8,9] => [[1,3,5,6,7,8,9],[2,4]] => 2
{{1,2,3,4,5,6,7,8,9,10}} => [2,3,4,5,6,7,8,9,10,1] => [10,9,8,7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 45
{{1,2,3,4,5,6,7,8},{9,10}} => [2,3,4,5,6,7,8,1,10,9] => [8,7,6,5,4,3,2,1,10,9] => [[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => 29
{{1,2,3,4,5,6,7,8},{9},{10}} => [2,3,4,5,6,7,8,1,9,10] => [8,7,6,5,4,3,2,1,9,10] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => 28
{{1,2,3,4,5,6,7},{8,9,10}} => [2,3,4,5,6,7,1,9,10,8] => [7,6,5,4,3,2,1,10,9,8] => [[1,8],[2,9],[3,10],[4],[5],[6],[7]] => 24
{{1,2,3,4,5,6,7},{8},{9},{10}} => [2,3,4,5,6,7,1,8,9,10] => [7,6,5,4,3,2,1,8,9,10] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => 21
{{1,2,3,4,5,6},{7,8,9,10}} => [2,3,4,5,6,1,8,9,10,7] => [6,5,4,3,2,1,10,9,8,7] => [[1,7],[2,8],[3,9],[4,10],[5],[6]] => 21
{{1,2,3,4,5,6},{7,8},{9,10}} => [2,3,4,5,6,1,8,7,10,9] => [6,5,4,3,2,1,8,7,10,9] => [[1,7,9],[2,8,10],[3],[4],[5],[6]] => 17
{{1,2,3,4,5,6},{7},{8},{9},{10}} => [2,3,4,5,6,1,7,8,9,10] => [6,5,4,3,2,1,7,8,9,10] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => 15
{{1,2,3,4,5},{6},{7},{8},{9},{10}} => [2,3,4,5,1,6,7,8,9,10] => [5,4,3,2,1,6,7,8,9,10] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => 10
{{1,2,3,4},{5,6,7,8},{9,10}} => [2,3,4,1,6,7,8,5,10,9] => [4,3,2,1,8,7,6,5,10,9] => [[1,5,9],[2,6,10],[3,7],[4,8]] => 13
{{1,2,3,4},{5,6},{7,8},{9,10}} => [2,3,4,1,6,5,8,7,10,9] => [4,3,2,1,6,5,8,7,10,9] => [[1,5,7,9],[2,6,8,10],[3],[4]] => 9
{{1,2,3,4},{5},{6},{7},{8},{9},{10}} => [2,3,4,1,5,6,7,8,9,10] => [4,3,2,1,5,6,7,8,9,10] => [[1,5,6,7,8,9,10],[2],[3],[4]] => 6
{{1,2,3},{4,5},{6,7},{8,9},{10}} => [2,3,1,5,4,7,6,9,8,10] => [3,2,1,5,4,7,6,9,8,10] => [[1,4,6,8,10],[2,5,7,9],[3]] => 6
{{1,2,3},{4},{5},{6},{7},{8},{9},{10}} => [2,3,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10] => [[1,4,5,6,7,8,9,10],[2],[3]] => 3
{{1,4},{2,3},{5},{6},{7},{8},{9}} => [4,3,2,1,5,6,7,8,9] => [3,2,4,1,5,6,7,8,9] => [[1,4,5,6,7,8,9],[2],[3]] => 3
{{1,2,5},{3,8},{4},{6,7}} => [2,5,8,4,1,7,6,3] => [4,7,6,8,2,1,5,3] => [[1,3,8],[2,5],[4,6],[7]] => 13
{{1,3},{2},{4,7},{5,6,8}} => [3,2,1,7,6,8,4,5] => [2,3,1,8,6,4,7,5] => [[1,3,4,5],[2,6,7],[8]] => 14
{{1},{2,3,7},{4},{5,6,8}} => [1,3,7,4,6,8,2,5] => [1,4,8,6,3,2,7,5] => [[1,2,5,7],[3,6],[4],[8]] => 15
{{1},{2,3},{4,6,7},{5,8}} => [1,3,2,6,8,7,4,5] => [1,3,2,7,4,8,6,5] => [[1,2,4,5],[3,6,8],[7]] => 16
{{1},{2,3},{4,6},{5,7,8}} => [1,3,2,6,7,4,8,5] => [1,3,2,8,7,4,6,5] => [[1,2,4,5],[3,6],[7],[8]] => 19
{{1},{2,5},{3,4,7,8},{6}} => [1,5,4,7,2,6,8,3] => [1,6,8,7,4,2,5,3] => [[1,2,3],[4,5],[6,7],[8]] => 23
{{1,4,7},{2},{3,6},{5,8}} => [4,2,6,7,8,3,1,5] => [2,8,3,7,4,1,6,5] => [[1,3,4,5],[2,6],[7],[8]] => 17
{{1},{2,4,8},{3,6,7},{5}} => [1,4,6,8,5,7,3,2] => [1,5,7,3,8,6,4,2] => [[1,2,4,8],[3,6],[5],[7]] => 15
{{1},{2,3,6},{4,7,8},{5}} => [1,3,6,7,5,2,8,4] => [1,5,8,7,3,2,6,4] => [[1,2,4],[3,6],[5,7],[8]] => 20
{{1,5},{2,3,6,8},{4,7}} => [5,3,6,7,1,8,4,2] => [8,3,1,7,6,4,5,2] => [[1,2,5],[3,4],[6],[7],[8]] => 22
{{1},{2,5},{3,4,7},{6,8}} => [1,5,4,7,2,8,3,6] => [1,8,4,2,5,3,7,6] => [[1,2,3,6],[4,5,7],[8]] => 17
{{1,5,7},{2,6},{3,4,8}} => [5,6,4,8,7,2,1,3] => [7,4,2,8,1,6,5,3] => [[1,3],[2,5],[4,6],[7,8]] => 19
{{1,6},{2,5,7},{3,4,8}} => [6,5,4,8,7,1,2,3] => [7,4,1,8,5,2,6,3] => [[1,2,3],[4,5,6],[7,8]] => 21
{{1,5,7},{2,3,8},{4,6}} => [5,3,8,6,7,4,1,2] => [7,4,6,3,1,8,5,2] => [[1,2,8],[3,5],[4,6],[7]] => 16
{{1},{2,6},{3,4,5,7},{8}} => [1,6,4,5,7,2,3,8] => [1,7,5,4,2,6,3,8] => [[1,2,3,8],[4,6],[5],[7]] => 16
{{1},{2,7},{3,6,8},{4,5}} => [1,7,6,5,4,8,2,3] => [1,5,4,8,6,2,7,3] => [[1,2,3,7],[4,6],[5,8]] => 15
{{1,6},{2,4,5,7},{3,8}} => [6,4,8,5,7,1,2,3] => [7,5,1,8,4,2,6,3] => [[1,2,3],[4,6],[5,8],[7]] => 20
{{1,3,4,7},{2},{5},{6,8}} => [3,2,4,7,5,8,1,6] => [2,5,8,4,3,1,7,6] => [[1,3,6],[2,7],[4,8],[5]] => 13
{{1},{2,7},{3,5},{4},{6,8}} => [1,7,5,4,3,8,2,6] => [1,4,5,3,8,2,7,6] => [[1,2,5,6],[3,7],[4,8]] => 14
{{1},{2,7},{3,5,6,8},{4}} => [1,7,5,4,6,8,2,3] => [1,4,8,6,5,2,7,3] => [[1,2,3,7],[4,5],[6],[8]] => 18
{{1,6},{2,3,5,7},{4},{8}} => [6,3,5,4,7,1,2,8] => [4,7,5,3,1,6,2,8] => [[1,2,6,8],[3,5],[4],[7]] => 13
{{1},{2,6},{3,5,8},{4,7}} => [1,6,5,7,8,2,4,3] => [1,8,2,7,5,4,6,3] => [[1,2,3,6],[4],[5],[7],[8]] => 20
{{1},{2,7},{3,5},{4,6,8}} => [1,7,5,6,3,8,2,4] => [1,8,6,3,5,2,7,4] => [[1,2,4,7],[3,5],[6],[8]] => 17
{{1,5},{2,3,7},{4},{6},{8}} => [5,3,7,4,1,6,2,8] => [4,6,7,3,1,5,2,8] => [[1,2,7,8],[3,5],[4,6]] => 10
{{1,5},{2,3,8},{4},{6},{7}} => [5,3,8,4,1,6,7,2] => [4,6,7,8,3,1,5,2] => [[1,2,7,8],[3,5],[4,6]] => 10
{{1,6},{2,3,8},{4},{5},{7}} => [6,3,8,4,5,1,7,2] => [4,5,7,8,3,1,6,2] => [[1,2,6,8],[3,5],[4,7]] => 11
{{1,6},{2,4,8},{3},{5},{7}} => [6,4,3,8,5,1,7,2] => [3,5,7,8,4,1,6,2] => [[1,2,6,8],[3,4],[5,7]] => 13
{{1,6,8},{2,3,7},{4},{5}} => [6,3,7,4,5,8,2,1] => [4,5,8,3,2,7,6,1] => [[1,5,6],[2,7],[3,8],[4]] => 11
{{1,6},{2,3},{4,7},{5},{8}} => [6,3,2,7,5,1,4,8] => [3,2,5,7,1,6,4,8] => [[1,4,6,8],[2,5],[3,7]] => 7
{{1,7},{2,3},{4,8},{5},{6}} => [7,3,2,8,5,6,1,4] => [3,2,5,6,8,1,7,4] => [[1,4,6,7],[2,5],[3,8]] => 8
{{1,7},{2,4},{3,8},{5},{6}} => [7,4,8,2,5,6,1,3] => [5,6,8,2,4,1,7,3] => [[1,3,7],[2,4,8],[5,6]] => 11
{{1,5},{2},{3,4,7},{6,8}} => [5,2,4,7,1,8,3,6] => [2,8,4,1,5,3,7,6] => [[1,3,5,6],[2,4,7],[8]] => 11
{{1,7},{2,5},{3},{4,8},{6}} => [7,5,3,8,2,6,1,4] => [3,6,8,2,5,1,7,4] => [[1,4,7],[2,5,8],[3,6]] => 7
{{1},{2,3,8},{4,6},{5,7}} => [1,3,8,6,7,4,5,2] => [1,7,4,6,5,8,3,2] => [[1,2,5,8],[3],[4],[6],[7]] => 16
{{1},{2,4,5,7},{3},{6,8}} => [1,4,3,5,7,8,2,6] => [1,3,8,5,4,2,7,6] => [[1,2,4,6],[3,7],[5],[8]] => 17
{{1,3,7},{2},{4,5},{6,8}} => [3,2,7,5,4,8,1,6] => [2,5,4,8,3,1,7,6] => [[1,3,6],[2,7],[4,8],[5]] => 13
{{1},{2},{3,5,7,8},{4,6}} => [1,2,5,6,7,4,8,3] => [1,2,8,7,4,6,5,3] => [[1,2,3,5],[4],[6],[7],[8]] => 21
{{1,2,3,4,9},{5,6,7,8}} => [2,3,4,9,6,7,8,5,1] => [8,7,6,5,9,4,3,2,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 28
{{1,7,8},{2},{3,5},{4,6}} => [7,2,5,6,3,4,8,1] => [2,6,3,5,4,8,7,1] => [[1,3,4,7],[2,8],[5],[6]] => 13
{{1},{2,3,5},{4,6,7,8}} => [1,3,5,6,2,7,8,4] => [1,8,7,6,3,2,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => 23
{{1,4},{2},{3,5,6,7,8}} => [4,2,5,1,6,7,8,3] => [2,8,7,6,5,1,4,3] => [[1,3],[2,4],[5],[6],[7],[8]] => 24
{{1,3},{2,5,6},{4},{7,8}} => [3,5,1,4,6,2,8,7] => [4,6,5,1,3,2,8,7] => [[1,2,7],[3,5,8],[4],[6]] => 13
{{1,7},{2},{3,5},{4,6,8}} => [7,2,5,6,3,8,1,4] => [2,8,6,3,5,1,7,4] => [[1,3,4,7],[2,5],[6],[8]] => 15
{{1,7},{2},{3,5,6,8},{4}} => [7,2,5,4,6,8,1,3] => [2,4,8,6,5,1,7,3] => [[1,3,5,7],[2,4],[6],[8]] => 14
{{1,7},{2},{3,5,8},{4,6}} => [7,2,5,6,8,4,1,3] => [2,8,4,6,5,1,7,3] => [[1,3,5,7],[2,4],[6],[8]] => 14
{{1,8},{2},{3,5,7},{4,6}} => [8,2,5,6,7,4,3,1] => [2,7,4,6,5,3,8,1] => [[1,3,5,8],[2],[4],[6],[7]] => 15
{{1,4,7},{2,3,5,6},{8}} => [4,3,5,7,6,2,1,8] => [6,3,2,7,5,4,1,8] => [[1,4,8],[2,5],[3,7],[6]] => 11
{{1,6},{2,3,5,7,8},{4}} => [6,3,5,4,7,1,8,2] => [4,8,7,5,3,1,6,2] => [[1,2,6],[3,5],[4],[7],[8]] => 20
{{1,4,5,8},{2,7},{3,6}} => [4,7,6,5,8,3,2,1] => [8,5,3,6,2,7,4,1] => [[1,4,7],[2,6],[3],[5],[8]] => 15
{{1},{2,4,5,7,8},{3,6}} => [1,4,6,5,7,3,8,2] => [1,8,7,5,3,6,4,2] => [[1,2,4],[3,6],[5],[7],[8]] => 22
{{1},{2,4,6,8},{3,5,7}} => [1,4,5,6,7,8,3,2] => [1,8,3,7,6,5,4,2] => [[1,2,4],[3],[5],[6],[7],[8]] => 24
{{1,4,7},{2,6},{3,5,8}} => [4,6,5,7,8,2,1,3] => [8,2,7,5,1,6,4,3] => [[1,3,6],[2,4],[5],[7],[8]] => 19
{{1,5},{2,4,7},{3,6,8}} => [5,4,6,7,1,8,2,3] => [8,1,7,6,4,2,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => 24
{{1,3,5,7},{2},{4,6,8}} => [3,2,5,6,7,8,1,4] => [2,8,3,1,7,6,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => 21
{{1,3,6},{2},{4,5,7,8}} => [3,2,6,5,7,1,8,4] => [2,8,7,5,3,1,6,4] => [[1,3,4],[2,6],[5],[7],[8]] => 20
{{1,2,4,6,7},{3},{5,8}} => [2,4,3,6,8,7,1,5] => [3,7,4,2,1,8,6,5] => [[1,4,5],[2,6],[3,8],[7]] => 14
{{1,3,5},{2,4,6,8},{7}} => [3,4,5,6,1,8,7,2] => [7,8,6,1,5,4,3,2] => [[1,2],[3,8],[4],[5],[6],[7]] => 22
{{1},{2,3,5,6,8},{4,7}} => [1,3,5,7,6,8,4,2] => [1,8,6,4,7,5,3,2] => [[1,2,5],[3,7],[4],[6],[8]] => 20
{{1,4},{2,3,5,7,8},{6}} => [4,3,5,1,7,6,8,2] => [6,8,7,5,3,1,4,2] => [[1,2],[3,4],[5,7],[6],[8]] => 24
{{1},{2,3,7},{4,5},{6,8}} => [1,3,7,5,4,8,2,6] => [1,5,4,8,3,2,7,6] => [[1,2,6],[3,7],[4,8],[5]] => 16
{{1,3},{2},{4,5,7},{6,8}} => [3,2,1,5,7,8,4,6] => [2,3,1,8,5,4,7,6] => [[1,3,4,6],[2,5,7],[8]] => 13
{{1},{2},{3,4,6},{5,7,8}} => [1,2,4,6,7,3,8,5] => [1,2,8,7,4,3,6,5] => [[1,2,3,5],[4,6],[7],[8]] => 20
{{1,2},{3},{4,6,8},{5,7}} => [2,1,3,6,7,8,5,4] => [2,1,3,8,5,7,6,4] => [[1,3,4,6],[2,5],[7],[8]] => 16
{{1,2},{3},{4,6,7},{5,8}} => [2,1,3,6,8,7,4,5] => [2,1,3,7,4,8,6,5] => [[1,3,4,5],[2,6,8],[7]] => 13
{{1,7},{2,8},{3},{4,5,6}} => [7,8,3,5,6,4,1,2] => [3,6,5,4,8,1,7,2] => [[1,2,7],[3,4],[5,8],[6]] => 18
{{1,4,8},{2,5,6},{3},{7}} => [4,5,3,8,6,2,7,1] => [3,6,2,7,8,5,4,1] => [[1,4,7,8],[2,5],[3],[6]] => 9
{{1,6,7},{2,4},{3,8},{5}} => [6,4,8,2,5,7,1,3] => [5,7,2,4,1,8,6,3] => [[1,3,6],[2,4,8],[5,7]] => 12
{{1,4},{2},{3,5},{6,7,8}} => [4,2,5,1,3,7,8,6] => [2,5,1,4,3,8,7,6] => [[1,3,6],[2,4,7],[5,8]] => 13
{{1},{2,7,8},{3,5},{4,6}} => [1,7,5,6,3,4,8,2] => [1,6,3,5,4,8,7,2] => [[1,2,4,7],[3,8],[5],[6]] => 15
{{1},{2,6,8},{3},{4,5,7}} => [1,6,3,5,7,8,4,2] => [1,3,8,5,4,7,6,2] => [[1,2,4,6],[3,7],[5],[8]] => 17
{{1},{2,5,6},{3,8},{4,7}} => [1,5,8,7,6,2,4,3] => [1,6,2,7,4,8,5,3] => [[1,2,3,5],[4,7,8],[6]] => 16
{{1,9},{2,3,4,5,6,7,8}} => [9,3,4,5,6,7,8,2,1] => [8,7,6,5,4,3,2,9,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => 28
{{1,3,8},{2,6,7},{4},{5}} => [3,6,8,4,5,7,2,1] => [4,5,7,2,8,6,3,1] => [[1,3,6,8],[2,5],[4],[7]] => 11
{{1,10},{2,3,4,5,6,7,8,9}} => [10,3,4,5,6,7,8,9,2,1] => [9,8,7,6,5,4,3,2,10,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => 36
{{1,9},{2,3,4,5,6,8},{7}} => [9,3,4,5,6,8,7,2,1] => [7,8,6,5,4,3,2,9,1] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => 21
{{1},{2,4,5},{3,6,8},{7}} => [1,4,6,5,2,8,7,3] => [1,5,2,7,8,6,4,3] => [[1,2,3,8],[4,6],[5],[7]] => 16
{{1,4,6},{2,3,8},{5,7}} => [4,3,8,6,7,1,5,2] => [7,3,1,6,5,8,4,2] => [[1,2,8],[3,4],[5],[6],[7]] => 19
{{1,3,6},{2,7},{4,5,8}} => [3,7,6,5,8,1,2,4] => [8,5,1,6,3,2,7,4] => [[1,2,4],[3,6,7],[5],[8]] => 19
{{1,9},{2,8},{3,7},{4,6},{5},{10}} => [9,8,7,6,5,4,3,2,1,10] => [5,6,4,7,3,8,2,9,1,10] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => 10
{{1},{2,10},{3,9},{4,8},{5,7},{6}} => [1,10,9,8,7,6,5,4,3,2] => [1,6,7,5,8,4,9,3,10,2] => [[1,2,7,8,9,10],[3],[4],[5],[6]] => 14
{{1,4,6},{2,3,5,7,8}} => [4,3,5,6,7,1,8,2] => [8,7,3,1,6,5,4,2] => [[1,2],[3,4],[5],[6],[7],[8]] => 26
{{1,5,6},{2,4,7},{3,8}} => [5,4,8,7,6,1,2,3] => [6,1,7,4,2,8,5,3] => [[1,2,3],[4,5,8],[6,7]] => 19
{{1},{2,3,5,8},{4,7},{6}} => [1,3,5,7,8,6,4,2] => [1,6,8,4,7,5,3,2] => [[1,2,5],[3,7],[4],[6],[8]] => 20
{{1,4,7},{2,3,5,6,8}} => [4,3,5,7,6,8,1,2] => [8,6,3,1,7,5,4,2] => [[1,2],[3,4],[5,7],[6],[8]] => 24
{{1,2,6,8},{3,4,5,7}} => [2,6,4,5,7,8,3,1] => [8,5,4,3,7,6,2,1] => [[1,6],[2,7],[3],[4],[5],[8]] => 18
{{1,6},{2,3,4,5,7,8}} => [6,3,4,5,7,1,8,2] => [8,7,5,4,3,1,6,2] => [[1,2],[3,6],[4],[5],[7],[8]] => 24
{{1,2,6},{3,4,5,8},{7}} => [2,6,4,5,8,1,7,3] => [7,8,5,4,2,1,6,3] => [[1,3],[2,6],[4,8],[5],[7]] => 17
{{1,2,4},{3,5,6,7,8}} => [2,4,5,1,6,7,8,3] => [8,7,6,5,2,1,4,3] => [[1,3],[2,4],[5],[6],[7],[8]] => 24
{{1,3,4},{2,5,6,7,8}} => [3,5,4,1,6,7,8,2] => [4,1,8,7,6,5,3,2] => [[1,2],[3,5],[4],[6],[7],[8]] => 25
{{1,4,6,7},{2,3,8},{5}} => [4,3,8,6,5,7,1,2] => [5,7,6,3,1,8,4,2] => [[1,2,8],[3,4],[5,6],[7]] => 18
{{1,3,5},{2,8},{4,6,7}} => [3,8,5,6,1,7,4,2] => [7,6,1,5,4,8,3,2] => [[1,2,8],[3],[4],[5],[6],[7]] => 20
{{1,4,7,8},{2,3,6},{5}} => [4,3,6,7,5,2,8,1] => [5,8,7,3,2,6,4,1] => [[1,4],[2,6],[3,7],[5],[8]] => 17
{{1,5},{2,3,6},{4,7,8}} => [5,3,6,7,1,2,8,4] => [8,7,3,1,6,2,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => 23
{{1,7,8},{2,5},{3,4,6}} => [7,5,4,6,2,3,8,1] => [6,4,2,5,3,8,7,1] => [[1,3,7],[2,5,8],[4],[6]] => 11
{{1,7,8},{2,4,6},{3,5}} => [7,4,5,6,3,2,8,1] => [6,3,5,4,2,8,7,1] => [[1,4,7],[2,8],[3],[5],[6]] => 14
{{1,2,5},{3,4,6,7,8}} => [2,5,4,6,1,7,8,3] => [8,7,6,4,2,1,5,3] => [[1,3],[2,5],[4],[6],[7],[8]] => 23
{{1},{2},{3},{4},{5,7},{6,8}} => [1,2,3,4,7,8,5,6] => [1,2,3,4,8,5,7,6] => [[1,2,3,4,5,6],[7],[8]] => 13
{{1},{2},{3},{4,6},{5,8},{7}} => [1,2,3,6,8,4,7,5] => [1,2,3,7,8,4,6,5] => [[1,2,3,4,5],[6,8],[7]] => 16
{{1},{2,4},{3,8},{5},{6},{7}} => [1,4,8,2,5,6,7,3] => [1,5,6,7,8,2,4,3] => [[1,2,3,7,8],[4,6],[5]] => 10
{{1},{2},{3},{4},{5},{6,8},{7,9}} => [1,2,3,4,5,8,9,6,7] => [1,2,3,4,5,9,6,8,7] => [[1,2,3,4,5,6,7],[8],[9]] => 15
{{1},{2},{3},{4,7},{5,8},{6}} => [1,2,3,7,8,6,4,5] => [1,2,3,6,8,4,7,5] => [[1,2,3,4,5],[6,7],[8]] => 17
{{1},{2},{3},{4,6,7},{5,8}} => [1,2,3,6,8,7,4,5] => [1,2,3,7,4,8,6,5] => [[1,2,3,4,5],[6,8],[7]] => 16
{{1},{2},{3,5,6},{4,8},{7}} => [1,2,5,8,6,3,7,4] => [1,2,6,3,7,8,5,4] => [[1,2,3,4,8],[5,7],[6]] => 13
{{1},{2,4,5},{3,8},{6},{7}} => [1,4,8,5,2,6,7,3] => [1,5,2,6,7,8,4,3] => [[1,2,3,7,8],[4,6],[5]] => 10
{{1,7},{2,3,4,5,6,8}} => [7,3,4,5,6,8,1,2] => [8,6,5,4,3,1,7,2] => [[1,2],[3,7],[4],[5],[6],[8]] => 23
{{1,4,6,7,8},{2,3,5}} => [4,3,5,6,2,7,8,1] => [8,7,6,3,2,5,4,1] => [[1,4],[2,5],[3],[6],[7],[8]] => 22
{{1,3,6,7,8},{2,4,5}} => [3,4,6,5,2,7,8,1] => [5,2,8,7,6,4,3,1] => [[1,3],[2,6],[4],[5],[7],[8]] => 22
{{1,6},{2,3,7},{4,5,8}} => [6,3,7,5,8,1,2,4] => [8,5,3,1,7,2,6,4] => [[1,2,4],[3,6],[5,7],[8]] => 20
{{1,4,5,7,8},{2,3,6}} => [4,3,6,5,7,2,8,1] => [8,7,5,3,2,6,4,1] => [[1,4],[2,6],[3],[5],[7],[8]] => 21
{{1,3,7},{2,4,6},{5,8}} => [3,4,7,6,8,2,1,5] => [8,2,6,4,3,1,7,5] => [[1,3,5],[2,7],[4],[6],[8]] => 18
{{1,5,7},{2,3,6,8},{4}} => [5,3,6,4,7,8,1,2] => [4,8,3,1,7,6,5,2] => [[1,2],[3,5],[4,6],[7],[8]] => 23
{{1,3,7},{2,4,5,8},{6}} => [3,4,7,5,8,6,1,2] => [6,8,5,1,7,4,3,2] => [[1,2],[3,7],[4,8],[5],[6]] => 19
{{1,5,8},{2,4,6},{3,7}} => [5,4,7,6,8,2,3,1] => [8,2,6,4,3,7,5,1] => [[1,3,5],[2,7],[4],[6],[8]] => 18
{{1},{2,3,5,7,8},{4,6}} => [1,3,5,6,7,4,8,2] => [1,8,7,4,6,5,3,2] => [[1,2,5],[3],[4],[6],[7],[8]] => 23
{{1},{2,3,5,7},{4,6},{8}} => [1,3,5,6,7,4,2,8] => [1,7,4,6,5,3,2,8] => [[1,2,5,8],[3],[4],[6],[7]] => 16
{{1},{2,3,5,7},{4,6,8}} => [1,3,5,6,7,8,2,4] => [1,8,3,2,7,6,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => 23
{{1},{2,3,4,5,7},{6,8}} => [1,3,4,5,7,8,2,6] => [1,8,5,4,3,2,7,6] => [[1,2,6],[3,7],[4],[5],[8]] => 19
{{1},{2,3,5,8},{4,6,7}} => [1,3,5,6,8,7,4,2] => [1,7,4,8,6,5,3,2] => [[1,2,5],[3,8],[4],[6],[7]] => 19
{{1,3},{2,6,8},{4,5},{7}} => [3,6,1,5,4,8,7,2] => [5,4,7,8,6,1,3,2] => [[1,2,8],[3,6],[4,7],[5]] => 14
{{1,2,9},{3},{4},{5},{6},{7},{8}} => [2,9,3,4,5,6,7,8,1] => [3,4,5,6,7,8,9,2,1] => [[1,4,5,6,7,8,9],[2],[3]] => 3
{{1,3},{2,4,5,6,8},{7}} => [3,4,1,5,6,8,7,2] => [7,8,6,5,4,1,3,2] => [[1,2],[3,8],[4],[5],[6],[7]] => 22
{{1,6,7},{2,3,4,5,8}} => [6,3,4,5,8,7,1,2] => [7,5,4,3,1,8,6,2] => [[1,2],[3,6],[4,8],[5],[7]] => 20
{{1,4,6,8},{2,3,5,7}} => [4,3,5,6,7,8,2,1] => [8,3,2,7,6,5,4,1] => [[1,4],[2,5],[3],[6],[7],[8]] => 22
{{1,4,8},{2,3,6,7},{5}} => [4,3,6,8,5,7,2,1] => [5,7,3,2,8,6,4,1] => [[1,4,8],[2,6],[3,7],[5]] => 10
{{1,3,7},{2,6},{4,5,8}} => [3,6,7,5,8,2,1,4] => [8,5,2,7,3,1,6,4] => [[1,3,4],[2,6],[5,7],[8]] => 17
{{1,2},{3,4,6},{5,7,8}} => [2,1,4,6,7,3,8,5] => [2,1,8,7,4,3,6,5] => [[1,3,5],[2,4,6],[7],[8]] => 16
{{1,2,3},{4,7},{5,6,8}} => [2,3,1,7,6,8,4,5] => [3,2,1,8,6,4,7,5] => [[1,4,5],[2,6,7],[3,8]] => 11
{{1},{2},{3},{4},{5},{6,7,9},{8}} => [1,2,3,4,5,7,9,8,6] => [1,2,3,4,5,8,9,7,6] => [[1,2,3,4,5,6,9],[7],[8]] => 13
{{1},{2,3,9},{4},{5},{6},{7},{8}} => [1,3,9,4,5,6,7,8,2] => [1,4,5,6,7,8,9,3,2] => [[1,2,5,6,7,8,9],[3],[4]] => 5
{{1,9},{2,4},{3},{5},{6},{7},{8}} => [9,4,3,2,5,6,7,8,1] => [3,4,2,5,6,7,8,9,1] => [[1,4,5,6,7,8,9],[2],[3]] => 3
{{1,10},{2,3},{4},{5},{6},{7},{8},{9}} => [10,3,2,4,5,6,7,8,9,1] => [3,2,4,5,6,7,8,9,10,1] => [[1,4,5,6,7,8,9,10],[2],[3]] => 3
{{1},{2,4},{3,5,6,7,8}} => [1,4,5,2,6,7,8,3] => [1,8,7,6,5,2,4,3] => [[1,2,3],[4],[5],[6],[7],[8]] => 25
{{1,5,6},{2},{3},{4,7,8}} => [5,2,3,7,6,1,8,4] => [2,3,6,1,8,7,5,4] => [[1,3,4,7],[2,5],[6],[8]] => 15
{{1,3,5},{2},{4,6},{7},{8}} => [3,2,5,6,1,4,7,8] => [2,6,3,1,5,4,7,8] => [[1,3,4,7,8],[2,5],[6]] => 8
{{1,3,7},{2},{4},{5},{6,8}} => [3,2,7,4,5,8,1,6] => [2,4,5,8,3,1,7,6] => [[1,3,5,6],[2,7],[4,8]] => 11
{{1,3,6},{2},{4},{5,8},{7}} => [3,2,6,4,8,1,7,5] => [2,4,7,8,3,1,6,5] => [[1,3,5,8],[2,6],[4,7]] => 9
{{1},{2},{3,7},{4,8},{5},{6}} => [1,2,7,8,5,6,3,4] => [1,2,5,6,8,3,7,4] => [[1,2,3,4,7],[5,6],[8]] => 15
{{1,7},{2},{3},{4},{5},{6,8}} => [7,2,3,4,5,8,1,6] => [2,3,4,5,8,1,7,6] => [[1,3,4,5,6],[2,7],[8]] => 12
{{1,6},{2},{3},{4},{5,8},{7}} => [6,2,3,4,8,1,7,5] => [2,3,4,7,8,1,6,5] => [[1,3,4,5,8],[2,6],[7]] => 10
{{1,4},{2,6},{3},{5,8},{7}} => [4,6,3,1,8,2,7,5] => [3,7,8,1,4,2,6,5] => [[1,2,5],[3,4,6],[7,8]] => 17
{{1,5,7},{2},{3},{4},{6,8}} => [5,2,3,4,7,8,1,6] => [2,3,4,8,5,1,7,6] => [[1,3,4,5,6],[2,7],[8]] => 12
{{1,5},{2},{3},{4,6},{7},{8}} => [5,2,3,6,1,4,7,8] => [2,3,6,1,5,4,7,8] => [[1,3,4,7,8],[2,5],[6]] => 8
{{1,4},{2},{3,6},{5},{7},{8}} => [4,2,6,1,5,3,7,8] => [2,5,6,1,4,3,7,8] => [[1,3,6,7,8],[2,4],[5]] => 6
{{1},{2,5},{3,6},{4},{7},{8}} => [1,5,6,4,2,3,7,8] => [1,4,6,2,5,3,7,8] => [[1,2,3,7,8],[4,5],[6]] => 11
{{1,4},{2},{3,7},{5},{6,8}} => [4,2,7,1,5,8,3,6] => [2,5,8,1,4,3,7,6] => [[1,3,6],[2,4,7],[5,8]] => 13
{{1,5},{2,3,4,8},{6},{7}} => [5,3,4,8,1,6,7,2] => [6,7,8,4,3,1,5,2] => [[1,2,8],[3,5],[4,7],[6]] => 15
{{1,4,5},{2,3,8},{6},{7}} => [4,3,8,5,1,6,7,2] => [5,3,1,6,7,8,4,2] => [[1,2,7,8],[3,4],[5,6]] => 12
{{1,7},{2,3},{4,5,6,8}} => [7,3,2,5,6,8,1,4] => [3,2,8,6,5,1,7,4] => [[1,4,7],[2,5],[3,6],[8]] => 13
{{1,7},{2,3,5,6},{4,8}} => [7,3,5,8,6,2,1,4] => [6,3,2,8,5,1,7,4] => [[1,4,7],[2,5],[3,8],[6]] => 12
{{1,5,7,8},{2,4},{3,6}} => [5,4,6,2,7,3,8,1] => [8,7,2,4,3,6,5,1] => [[1,3,5],[2,6],[4],[7],[8]] => 19
{{1,5,7,8},{2,3},{4,6}} => [5,3,2,6,7,4,8,1] => [3,2,8,7,4,6,5,1] => [[1,4,5],[2,6],[3],[7],[8]] => 18
{{1,3,4,7},{2},{5,8},{6}} => [3,2,4,7,8,6,1,5] => [2,6,8,4,3,1,7,5] => [[1,3,5],[2,7],[4,8],[6]] => 14
{{1,6,8},{2,3,4,5,7}} => [6,3,4,5,7,8,2,1] => [8,5,4,3,2,7,6,1] => [[1,6],[2,7],[3],[4],[5],[8]] => 18
{{1,2},{3,6,8},{4,5,7}} => [2,1,6,5,7,8,4,3] => [2,1,8,5,4,7,6,3] => [[1,3,6],[2,4,7],[5],[8]] => 14
{{1,6,7},{2,4,5,8},{3}} => [6,4,3,5,8,7,1,2] => [3,7,5,4,1,8,6,2] => [[1,2,6],[3,4],[5,8],[7]] => 19
{{1,3,5,8},{2,7},{4,6}} => [3,7,5,6,8,4,2,1] => [8,4,6,5,2,7,3,1] => [[1,3,7],[2,5],[4],[6],[8]] => 17
{{1,4,5,8},{2,3,6},{7}} => [4,3,6,5,8,2,7,1] => [7,8,5,3,2,6,4,1] => [[1,4],[2,6],[3,8],[5],[7]] => 16
{{1,5,7},{2,3,4,6,8}} => [5,3,4,6,7,8,1,2] => [8,4,3,1,7,6,5,2] => [[1,2],[3,5],[4,6],[7],[8]] => 23
{{1,4,8},{2,3,5,6,7}} => [4,3,5,8,6,7,2,1] => [7,6,3,2,8,5,4,1] => [[1,4],[2,5],[3,8],[6],[7]] => 17
{{1,3},{2,4,5,6,7},{8}} => [3,4,1,5,6,7,2,8] => [7,6,5,4,1,3,2,8] => [[1,2,8],[3],[4],[5],[6],[7]] => 20
{{1},{2,5},{3,4,6,7,8}} => [1,5,4,6,2,7,8,3] => [1,8,7,6,4,2,5,3] => [[1,2,3],[4,5],[6],[7],[8]] => 24
{{1,2,4},{3,5,6,7},{8}} => [2,4,5,1,6,7,3,8] => [7,6,5,2,1,4,3,8] => [[1,3,8],[2,4],[5],[6],[7]] => 17
{{1},{2,3,4,6},{5,7,8}} => [1,3,4,6,7,2,8,5] => [1,8,7,4,3,2,6,5] => [[1,2,5],[3,6],[4],[7],[8]] => 21
{{1},{2,4,6},{3},{5,7,8}} => [1,4,3,6,7,2,8,5] => [1,3,8,7,4,2,6,5] => [[1,2,4,5],[3,6],[7],[8]] => 19
{{1,2,4,5,7},{3},{6,8}} => [2,4,3,5,7,8,1,6] => [3,8,5,4,2,1,7,6] => [[1,4,6],[2,7],[3],[5],[8]] => 16
{{1},{2,5,7},{3},{4,6,8}} => [1,5,3,6,7,8,2,4] => [1,3,8,2,7,6,5,4] => [[1,2,4],[3,5],[6],[7],[8]] => 23
{{1,2},{3,5,7},{4,6,8}} => [2,1,5,6,7,8,3,4] => [2,1,8,3,7,6,5,4] => [[1,3,4],[2,5],[6],[7],[8]] => 21
{{1,3,4,5,7},{2},{6,8}} => [3,2,4,5,7,8,1,6] => [2,8,5,4,3,1,7,6] => [[1,3,6],[2,7],[4],[5],[8]] => 17
{{1,4,5,7,8},{2},{3,6}} => [4,2,6,5,7,3,8,1] => [2,8,7,5,3,6,4,1] => [[1,3,4],[2,6],[5],[7],[8]] => 20
{{1,4,6,8},{2},{3,5,7}} => [4,2,5,6,7,8,3,1] => [2,8,3,7,6,5,4,1] => [[1,3,4],[2],[5],[6],[7],[8]] => 23
{{1},{2,7},{3,8},{4},{5},{6}} => [1,7,8,4,5,6,2,3] => [1,4,5,6,8,2,7,3] => [[1,2,3,6,7],[4,5],[8]] => 13
{{1},{2},{3},{4,6,8},{5,7}} => [1,2,3,6,7,8,5,4] => [1,2,3,8,5,7,6,4] => [[1,2,3,4,6],[5],[7],[8]] => 17
{{1,4,5,6,7},{2},{3,8}} => [4,2,8,5,6,7,1,3] => [2,7,6,5,1,8,4,3] => [[1,3,8],[2,4],[5],[6],[7]] => 17
{{1},{2,7},{3,6},{4},{5,8}} => [1,7,6,4,8,3,2,5] => [1,4,8,3,6,2,7,5] => [[1,2,5,7],[3,6],[4,8]] => 13
{{1,3,5},{2,4,6,7,8}} => [3,4,5,6,1,7,8,2] => [8,7,6,1,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7],[8]] => 27
{{1,5},{2},{3,7},{4},{6,8}} => [5,2,7,4,1,8,3,6] => [2,4,8,1,5,3,7,6] => [[1,3,5,6],[2,4,7],[8]] => 11
{{1,2,4,6,8},{3},{5,7}} => [2,4,3,6,7,8,5,1] => [3,8,5,7,6,4,2,1] => [[1,4,6],[2],[3],[5],[7],[8]] => 20
{{1,3},{2,7},{4,5,6,8}} => [3,7,1,5,6,8,2,4] => [8,6,5,1,3,2,7,4] => [[1,2,4],[3,7],[5],[6],[8]] => 21
{{1},{2,7},{3},{4,5,6,8}} => [1,7,3,5,6,8,2,4] => [1,3,8,6,5,2,7,4] => [[1,2,4,7],[3,5],[6],[8]] => 17
{{1,3,8},{2,6},{4,5,7}} => [3,6,8,5,7,2,4,1] => [7,5,2,8,4,6,3,1] => [[1,3,6],[2,8],[4],[5],[7]] => 16
{{1,2,4},{3,6},{5,7,8}} => [2,4,6,1,7,3,8,5] => [8,7,2,1,4,3,6,5] => [[1,3,5],[2,4,6],[7],[8]] => 16
{{1,2,7},{3,4,6,8},{5}} => [2,7,4,6,5,8,1,3] => [5,8,6,4,2,1,7,3] => [[1,3,7],[2,6],[4],[5],[8]] => 16
{{1},{2,5},{3},{4,7},{6,8}} => [1,5,3,7,2,8,4,6] => [1,3,8,2,5,4,7,6] => [[1,2,4,6],[3,5,7],[8]] => 16
{{1,3,7},{2,4},{5,6,8}} => [3,4,7,2,6,8,1,5] => [8,6,2,4,3,1,7,5] => [[1,3,5],[2,7],[4],[6],[8]] => 18
{{1,3,7},{2,6,8},{4,5}} => [3,6,7,5,4,8,1,2] => [5,4,8,1,7,6,3,2] => [[1,2],[3,6],[4,7],[5],[8]] => 21
{{1,7},{2,3,5,8},{4,6}} => [7,3,5,6,8,4,1,2] => [8,4,6,5,3,1,7,2] => [[1,2,7],[3,5],[4],[6],[8]] => 19
{{1,6,8},{2,4,7},{3,5}} => [6,4,5,7,3,8,2,1] => [8,3,5,4,2,7,6,1] => [[1,4,6],[2,7],[3],[5],[8]] => 16
{{1,2,6,7},{3},{4},{5,8}} => [2,6,3,4,8,7,1,5] => [3,4,7,2,1,8,6,5] => [[1,4,5,8],[2,6],[3,7]] => 8
{{1},{2,4},{3,5},{6,7,8}} => [1,4,5,2,3,7,8,6] => [1,5,2,4,3,8,7,6] => [[1,2,3,6],[4,7],[5,8]] => 16
{{1,3,4},{2,8},{5,6,7}} => [3,8,4,1,6,7,5,2] => [4,1,7,6,5,8,3,2] => [[1,2,8],[3,5],[4],[6],[7]] => 18
{{1,2,7},{3,4,5,6,8}} => [2,7,4,5,6,8,1,3] => [8,6,5,4,2,1,7,3] => [[1,3],[2,7],[4],[5],[6],[8]] => 21
{{1,5,6},{2,7,8},{3,4}} => [5,7,4,3,6,1,8,2] => [4,3,6,1,8,7,5,2] => [[1,2,7],[3,5],[4,6],[8]] => 17
{{1,7},{2,6},{3,4,5,8}} => [7,6,4,5,8,2,1,3] => [8,5,4,2,6,1,7,3] => [[1,3,7],[2,6],[4],[5],[8]] => 16
{{1,3,4},{2,6},{5,7,8}} => [3,6,4,1,7,2,8,5] => [4,1,8,7,3,2,6,5] => [[1,2,5],[3,6],[4,7],[8]] => 19
{{1,3,5},{2,4},{6},{7,8}} => [3,4,5,2,1,6,8,7] => [5,2,4,3,1,6,8,7] => [[1,3,6,7],[2,8],[4],[5]] => 11
{{1},{2,5},{3,4,6,7},{8}} => [1,5,4,6,2,7,3,8] => [1,7,6,4,2,5,3,8] => [[1,2,3,8],[4,5],[6],[7]] => 17
{{1,4,5},{2},{3,6,8},{7}} => [4,2,6,5,1,8,7,3] => [2,5,1,7,8,6,4,3] => [[1,3,6,8],[2,4],[5],[7]] => 12
{{1},{2,4},{3,7},{5},{6,8}} => [1,4,7,2,5,8,3,6] => [1,5,8,2,4,3,7,6] => [[1,2,3,6],[4,7],[5,8]] => 16
{{1,2},{3,4,6,8},{5,7}} => [2,1,4,6,7,8,5,3] => [2,1,8,5,7,6,4,3] => [[1,3,6],[2,4],[5],[7],[8]] => 19
{{1,4},{2,3,6,8},{5,7}} => [4,3,6,1,7,8,5,2] => [8,5,7,6,3,1,4,2] => [[1,2],[3,4],[5,6],[7],[8]] => 25
{{1,4,5},{2,3,6,7,8}} => [4,3,6,5,1,7,8,2] => [5,3,1,8,7,6,4,2] => [[1,2],[3,4],[5,6],[7],[8]] => 25
{{1,6},{2},{3,4,5,7,8}} => [6,2,4,5,7,1,8,3] => [2,8,7,5,4,1,6,3] => [[1,3,6],[2,4],[5],[7],[8]] => 19
{{1,4,7},{2,3,8},{5,6}} => [4,3,8,7,6,5,1,2] => [6,5,7,3,1,8,4,2] => [[1,2,8],[3,4],[5,7],[6]] => 17
{{1,2},{3,6,7},{4,5,8}} => [2,1,6,5,8,7,3,4] => [2,1,7,5,3,8,6,4] => [[1,3,4],[2,5,6],[7,8]] => 17
{{1,6,7},{2,3},{4,5,8}} => [6,3,2,5,8,7,1,4] => [3,2,7,5,1,8,6,4] => [[1,4,6],[2,5,8],[3,7]] => 8
{{1,6,7},{2,5,8},{3,4}} => [6,5,4,3,8,7,1,2] => [4,3,7,5,1,8,6,2] => [[1,2,6],[3,5,8],[4,7]] => 12
{{1,6,7},{2,4,5},{3,8}} => [6,4,8,5,2,7,1,3] => [5,2,7,4,1,8,6,3] => [[1,3,6],[2,4,8],[5,7]] => 12
{{1,2,4},{3,5,6,8},{7}} => [2,4,5,1,6,8,7,3] => [7,8,6,5,2,1,4,3] => [[1,3],[2,4],[5,8],[6],[7]] => 21
{{1},{2,4},{3,5,6,8},{7}} => [1,4,5,2,6,8,7,3] => [1,7,8,6,5,2,4,3] => [[1,2,3],[4,8],[5],[6],[7]] => 21
{{1,6,7},{2,3,5,8},{4}} => [6,3,5,4,8,7,1,2] => [4,7,5,3,1,8,6,2] => [[1,2,6],[3,5],[4,8],[7]] => 17
{{1,3,5,8},{2,4,6,7}} => [3,4,5,6,8,7,2,1] => [7,2,8,6,5,4,3,1] => [[1,3],[2,8],[4],[5],[6],[7]] => 20
{{1,4},{2,3,6},{5,7,8}} => [4,3,6,1,7,2,8,5] => [8,7,3,1,4,2,6,5] => [[1,2,5],[3,4,6],[7],[8]] => 18
{{1,5,7,8},{2,3,6},{4}} => [5,3,6,4,7,2,8,1] => [4,8,7,3,2,6,5,1] => [[1,5],[2,6],[3,7],[4],[8]] => 16
{{1,2,3,6},{4},{5,7,8}} => [2,3,6,4,7,1,8,5] => [4,8,7,3,2,1,6,5] => [[1,5],[2,6],[3,7],[4],[8]] => 16
{{1,4,6},{2,3,5,8},{7}} => [4,3,5,6,8,1,7,2] => [7,8,3,1,6,5,4,2] => [[1,2],[3,4],[5,8],[6],[7]] => 23
{{1,6},{2,3,5,8},{4,7}} => [6,3,5,7,8,1,4,2] => [8,3,1,7,5,4,6,2] => [[1,2,6],[3,4],[5],[7],[8]] => 21
{{1,3,6},{2,4,5,7,8}} => [3,4,6,5,7,1,8,2] => [8,7,5,1,6,4,3,2] => [[1,2],[3,6],[4],[5],[7],[8]] => 24
{{1,4,5,6},{2},{3,7,8}} => [4,2,7,5,6,1,8,3] => [2,6,5,1,8,7,4,3] => [[1,3,7],[2,4],[5,8],[6]] => 16
{{1},{2,3,6,8},{4,7},{5}} => [1,3,6,7,5,8,4,2] => [1,5,8,4,7,6,3,2] => [[1,2,6],[3,7],[4],[5],[8]] => 19
{{1,4,8},{2,5,7},{3,6}} => [4,5,6,8,7,3,2,1] => [7,3,8,2,6,5,4,1] => [[1,4],[2,5],[3,8],[6],[7]] => 17
{{1,3,6},{2,4,5,7},{8}} => [3,4,6,5,7,1,2,8] => [7,5,1,6,4,3,2,8] => [[1,2,8],[3,6],[4],[5],[7]] => 17
{{1,4,7},{2,5},{3,6,8}} => [4,5,6,7,2,8,1,3] => [8,2,7,6,1,5,4,3] => [[1,3],[2,4],[5],[6],[7],[8]] => 24
{{1},{2,3,6},{4,7},{5},{8}} => [1,3,6,7,5,2,4,8] => [1,5,7,3,2,6,4,8] => [[1,2,4,8],[3,6],[5,7]] => 13
{{1},{2,4,6,7},{3,5},{8}} => [1,4,5,6,3,7,2,8] => [1,7,6,3,5,4,2,8] => [[1,2,4,8],[3],[5],[6],[7]] => 17
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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 1,2,1,1 1,3,3,4,1,2,1 1,4,5,10,6,6,8,5,4,2,1 1,5,7,18,16,18,28,23,20,17,21,11,10,4,3,1 1,6,9,27,30,41,72,69,75,77,87,80,77,50,52,43,35,21,14,7,3,1
$F_{1} = 1$
$F_{2} = 1 + q$
$F_{3} = 1 + 2\ q + q^{2} + q^{3}$
$F_{4} = 1 + 3\ q + 3\ q^{2} + 4\ q^{3} + q^{4} + 2\ q^{5} + q^{6}$
$F_{5} = 1 + 4\ q + 5\ q^{2} + 10\ q^{3} + 6\ q^{4} + 6\ q^{5} + 8\ q^{6} + 5\ q^{7} + 4\ q^{8} + 2\ q^{9} + q^{10}$
$F_{6} = 1 + 5\ q + 7\ q^{2} + 18\ q^{3} + 16\ q^{4} + 18\ q^{5} + 28\ q^{6} + 23\ q^{7} + 20\ q^{8} + 17\ q^{9} + 21\ q^{10} + 11\ q^{11} + 10\ q^{12} + 4\ q^{13} + 3\ q^{14} + q^{15}$
$F_{7} = 1 + 6\ q + 9\ q^{2} + 27\ q^{3} + 30\ q^{4} + 41\ q^{5} + 72\ q^{6} + 69\ q^{7} + 75\ q^{8} + 77\ q^{9} + 87\ q^{10} + 80\ q^{11} + 77\ q^{12} + 50\ q^{13} + 52\ q^{14} + 43\ q^{15} + 35\ q^{16} + 21\ q^{17} + 14\ q^{18} + 7\ q^{19} + 3\ q^{20} + q^{21}$
Description
The inversion number of a standard tableau as defined by Haglund and Stevens.
Their inversion number is the total number of inversion pairs for the tableau. An inversion pair is defined as a pair of cells (a,b), (x,y) such that the content of (x,y) is greater than the content of (a,b) and (x,y) is north of the inversion path of (a,b), where the inversion path is defined in detail in [1].
Their inversion number is the total number of inversion pairs for the tableau. An inversion pair is defined as a pair of cells (a,b), (x,y) such that the content of (x,y) is greater than the content of (a,b) and (x,y) is north of the inversion path of (a,b), where the inversion path is defined in detail in [1].
Map
to permutation
Description
Sends the set partition to the permutation obtained by considering the blocks as increasing cycles.
Map
Clarke-Steingrimsson-Zeng inverse
Description
The inverse of the Clarke-Steingrimsson-Zeng map, sending excedances to descents.
This is the inverse of the map $\Phi$ in [1, sec.3].
This is the inverse of the map $\Phi$ in [1, sec.3].
Map
Robinson-Schensted insertion tableau
Description
Sends a permutation to its Robinson-Schensted insertion tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding insertion tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding insertion tableau.
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