- FindStat

Identifier

Mp00080: Set partitions —to permutation⟶ Permutations
Mp00070: Permutations —Robinson-Schensted recording tableau⟶ Standard tableaux
Mp00284: Standard tableaux —rows⟶ Set partitions
St000565: Set partitions ⟶ ℤ

Values

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

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

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

{{1,2},{3}} => [2,1,3] => [[1,3],[2]] => {{1,3},{2}} => 1

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

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

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

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

{{1,2,3},{4}} => [2,3,1,4] => [[1,2,4],[3]] => {{1,2,4},{3}} => 1

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

{{1,2},{3,4}} => [2,1,4,3] => [[1,3],[2,4]] => {{1,3},{2,4}} => 1

{{1,2},{3},{4}} => [2,1,3,4] => [[1,3,4],[2]] => {{1,3,4},{2}} => 2

{{1,3,4},{2}} => [3,2,4,1] => [[1,3],[2],[4]] => {{1,3},{2},{4}} => 1

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

{{1,3},{2},{4}} => [3,2,1,4] => [[1,4],[2],[3]] => {{1,4},{2},{3}} => 1

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

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

{{1},{2,3},{4}} => [1,3,2,4] => [[1,2,4],[3]] => {{1,2,4},{3}} => 1

{{1,4},{2},{3}} => [4,2,3,1] => [[1,3],[2],[4]] => {{1,3},{2},{4}} => 1

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

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

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

{{1,2,3,4},{5}} => [2,3,4,1,5] => [[1,2,3,5],[4]] => {{1,2,3,5},{4}} => 1

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

{{1,2,3},{4,5}} => [2,3,1,5,4] => [[1,2,4],[3,5]] => {{1,2,4},{3,5}} => 1

{{1,2,3},{4},{5}} => [2,3,1,4,5] => [[1,2,4,5],[3]] => {{1,2,4,5},{3}} => 2

{{1,2,4,5},{3}} => [2,4,3,5,1] => [[1,2,4],[3],[5]] => {{1,2,4},{3},{5}} => 1

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

{{1,2,4},{3},{5}} => [2,4,3,1,5] => [[1,2,5],[3],[4]] => {{1,2,5},{3},{4}} => 1

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

{{1,2},{3,4,5}} => [2,1,4,5,3] => [[1,3,4],[2,5]] => {{1,3,4},{2,5}} => 2

{{1,2},{3,4},{5}} => [2,1,4,3,5] => [[1,3,5],[2,4]] => {{1,3,5},{2,4}} => 2

{{1,2,5},{3},{4}} => [2,5,3,4,1] => [[1,2,4],[3],[5]] => {{1,2,4},{3},{5}} => 1

{{1,2},{3,5},{4}} => [2,1,5,4,3] => [[1,3],[2,4],[5]] => {{1,3},{2,4},{5}} => 1

{{1,2},{3},{4,5}} => [2,1,3,5,4] => [[1,3,4],[2,5]] => {{1,3,4},{2,5}} => 2

{{1,2},{3},{4},{5}} => [2,1,3,4,5] => [[1,3,4,5],[2]] => {{1,3,4,5},{2}} => 3

{{1,3,4,5},{2}} => [3,2,4,5,1] => [[1,3,4],[2],[5]] => {{1,3,4},{2},{5}} => 2

{{1,3,4},{2,5}} => [3,5,4,1,2] => [[1,2],[3,5],[4]] => {{1,2},{3,5},{4}} => 2

{{1,3,4},{2},{5}} => [3,2,4,1,5] => [[1,3,5],[2],[4]] => {{1,3,5},{2},{4}} => 2

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

{{1,3},{2,4,5}} => [3,4,1,5,2] => [[1,2,4],[3,5]] => {{1,2,4},{3,5}} => 1

{{1,3},{2,4},{5}} => [3,4,1,2,5] => [[1,2,5],[3,4]] => {{1,2,5},{3,4}} => 1

{{1,3,5},{2},{4}} => [3,2,5,4,1] => [[1,3],[2,4],[5]] => {{1,3},{2,4},{5}} => 1

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

{{1,3},{2},{4,5}} => [3,2,1,5,4] => [[1,4],[2,5],[3]] => {{1,4},{2,5},{3}} => 3

{{1,3},{2},{4},{5}} => [3,2,1,4,5] => [[1,4,5],[2],[3]] => {{1,4,5},{2},{3}} => 2

{{1,4,5},{2,3}} => [4,3,2,5,1] => [[1,4],[2],[3],[5]] => {{1,4},{2},{3},{5}} => 1

{{1,4},{2,3,5}} => [4,3,5,1,2] => [[1,3],[2,5],[4]] => {{1,3},{2,5},{4}} => 3

{{1,4},{2,3},{5}} => [4,3,2,1,5] => [[1,5],[2],[3],[4]] => {{1,5},{2},{3},{4}} => 1

{{1,5},{2,3,4}} => [5,3,4,2,1] => [[1,3],[2],[4],[5]] => {{1,3},{2},{4},{5}} => 1

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

{{1},{2,3,4},{5}} => [1,3,4,2,5] => [[1,2,3,5],[4]] => {{1,2,3,5},{4}} => 1

{{1,5},{2,3},{4}} => [5,3,2,4,1] => [[1,4],[2],[3],[5]] => {{1,4},{2},{3},{5}} => 1

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

{{1},{2,3},{4,5}} => [1,3,2,5,4] => [[1,2,4],[3,5]] => {{1,2,4},{3,5}} => 1

{{1},{2,3},{4},{5}} => [1,3,2,4,5] => [[1,2,4,5],[3]] => {{1,2,4,5},{3}} => 2

{{1,4,5},{2},{3}} => [4,2,3,5,1] => [[1,3,4],[2],[5]] => {{1,3,4},{2},{5}} => 2

{{1,4},{2,5},{3}} => [4,5,3,1,2] => [[1,2],[3,5],[4]] => {{1,2},{3,5},{4}} => 2

{{1,4},{2},{3,5}} => [4,2,5,1,3] => [[1,3],[2,5],[4]] => {{1,3},{2,5},{4}} => 3

{{1,4},{2},{3},{5}} => [4,2,3,1,5] => [[1,3,5],[2],[4]] => {{1,3,5},{2},{4}} => 2

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

{{1},{2,4,5},{3}} => [1,4,3,5,2] => [[1,2,4],[3],[5]] => {{1,2,4},{3},{5}} => 1

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

{{1},{2,4},{3},{5}} => [1,4,3,2,5] => [[1,2,5],[3],[4]] => {{1,2,5},{3},{4}} => 1

{{1,5},{2},{3,4}} => [5,2,4,3,1] => [[1,3],[2],[4],[5]] => {{1,3},{2},{4},{5}} => 1

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

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

{{1},{2},{3,4},{5}} => [1,2,4,3,5] => [[1,2,3,5],[4]] => {{1,2,3,5},{4}} => 1

{{1,5},{2},{3},{4}} => [5,2,3,4,1] => [[1,3,4],[2],[5]] => {{1,3,4},{2},{5}} => 2

{{1},{2,5},{3},{4}} => [1,5,3,4,2] => [[1,2,4],[3],[5]] => {{1,2,4},{3},{5}} => 1

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

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

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

{{1,2,3,4,5},{6}} => [2,3,4,5,1,6] => [[1,2,3,4,6],[5]] => {{1,2,3,4,6},{5}} => 1

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

{{1,2,3,4},{5,6}} => [2,3,4,1,6,5] => [[1,2,3,5],[4,6]] => {{1,2,3,5},{4,6}} => 1

{{1,2,3,4},{5},{6}} => [2,3,4,1,5,6] => [[1,2,3,5,6],[4]] => {{1,2,3,5,6},{4}} => 2

{{1,2,3,5,6},{4}} => [2,3,5,4,6,1] => [[1,2,3,5],[4],[6]] => {{1,2,3,5},{4},{6}} => 1

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

{{1,2,3,5},{4},{6}} => [2,3,5,4,1,6] => [[1,2,3,6],[4],[5]] => {{1,2,3,6},{4},{5}} => 1

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

{{1,2,3},{4,5,6}} => [2,3,1,5,6,4] => [[1,2,4,5],[3,6]] => {{1,2,4,5},{3,6}} => 2

{{1,2,3},{4,5},{6}} => [2,3,1,5,4,6] => [[1,2,4,6],[3,5]] => {{1,2,4,6},{3,5}} => 2

{{1,2,3,6},{4},{5}} => [2,3,6,4,5,1] => [[1,2,3,5],[4],[6]] => {{1,2,3,5},{4},{6}} => 1

{{1,2,3},{4,6},{5}} => [2,3,1,6,5,4] => [[1,2,4],[3,5],[6]] => {{1,2,4},{3,5},{6}} => 1

{{1,2,3},{4},{5,6}} => [2,3,1,4,6,5] => [[1,2,4,5],[3,6]] => {{1,2,4,5},{3,6}} => 2

{{1,2,3},{4},{5},{6}} => [2,3,1,4,5,6] => [[1,2,4,5,6],[3]] => {{1,2,4,5,6},{3}} => 3

{{1,2,4,5,6},{3}} => [2,4,3,5,6,1] => [[1,2,4,5],[3],[6]] => {{1,2,4,5},{3},{6}} => 2

{{1,2,4,5},{3,6}} => [2,4,6,5,1,3] => [[1,2,3],[4,6],[5]] => {{1,2,3},{4,6},{5}} => 2

{{1,2,4,5},{3},{6}} => [2,4,3,5,1,6] => [[1,2,4,6],[3],[5]] => {{1,2,4,6},{3},{5}} => 2

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

{{1,2,4},{3,5,6}} => [2,4,5,1,6,3] => [[1,2,3,5],[4,6]] => {{1,2,3,5},{4,6}} => 1

{{1,2,4},{3,5},{6}} => [2,4,5,1,3,6] => [[1,2,3,6],[4,5]] => {{1,2,3,6},{4,5}} => 1

{{1,2,4,6},{3},{5}} => [2,4,3,6,5,1] => [[1,2,4],[3,5],[6]] => {{1,2,4},{3,5},{6}} => 1

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

{{1,2,4},{3},{5,6}} => [2,4,3,1,6,5] => [[1,2,5],[3,6],[4]] => {{1,2,5},{3,6},{4}} => 3

{{1,2,4},{3},{5},{6}} => [2,4,3,1,5,6] => [[1,2,5,6],[3],[4]] => {{1,2,5,6},{3},{4}} => 2

{{1,2,5,6},{3,4}} => [2,5,4,3,6,1] => [[1,2,5],[3],[4],[6]] => {{1,2,5},{3},{4},{6}} => 1

{{1,2,5},{3,4,6}} => [2,5,4,6,1,3] => [[1,2,4],[3,6],[5]] => {{1,2,4},{3,6},{5}} => 3

>>> Load all 1225 entries. <<<

{{1,2,5},{3,4},{6}} => [2,5,4,3,1,6] => [[1,2,6],[3],[4],[5]] => {{1,2,6},{3},{4},{5}} => 1

{{1,2,6},{3,4,5}} => [2,6,4,5,3,1] => [[1,2,4],[3],[5],[6]] => {{1,2,4},{3},{5},{6}} => 1

{{1,2},{3,4,5,6}} => [2,1,4,5,6,3] => [[1,3,4,5],[2,6]] => {{1,3,4,5},{2,6}} => 3

{{1,2},{3,4,5},{6}} => [2,1,4,5,3,6] => [[1,3,4,6],[2,5]] => {{1,3,4,6},{2,5}} => 3

{{1,2,6},{3,4},{5}} => [2,6,4,3,5,1] => [[1,2,5],[3],[4],[6]] => {{1,2,5},{3},{4},{6}} => 1

{{1,2},{3,4,6},{5}} => [2,1,4,6,5,3] => [[1,3,4],[2,5],[6]] => {{1,3,4},{2,5},{6}} => 2

{{1,2},{3,4},{5,6}} => [2,1,4,3,6,5] => [[1,3,5],[2,4,6]] => {{1,3,5},{2,4,6}} => 2

{{1,2},{3,4},{5},{6}} => [2,1,4,3,5,6] => [[1,3,5,6],[2,4]] => {{1,3,5,6},{2,4}} => 3

{{1,2,5,6},{3},{4}} => [2,5,3,4,6,1] => [[1,2,4,5],[3],[6]] => {{1,2,4,5},{3},{6}} => 2

{{1,2,5},{3,6},{4}} => [2,5,6,4,1,3] => [[1,2,3],[4,6],[5]] => {{1,2,3},{4,6},{5}} => 2

{{1,2,5},{3},{4,6}} => [2,5,3,6,1,4] => [[1,2,4],[3,6],[5]] => {{1,2,4},{3,6},{5}} => 3

{{1,2,5},{3},{4},{6}} => [2,5,3,4,1,6] => [[1,2,4,6],[3],[5]] => {{1,2,4,6},{3},{5}} => 2

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

{{1,2},{3,5,6},{4}} => [2,1,5,4,6,3] => [[1,3,5],[2,4],[6]] => {{1,3,5},{2,4},{6}} => 2

{{1,2},{3,5},{4,6}} => [2,1,5,6,3,4] => [[1,3,4],[2,5,6]] => {{1,3,4},{2,5,6}} => 2

{{1,2},{3,5},{4},{6}} => [2,1,5,4,3,6] => [[1,3,6],[2,4],[5]] => {{1,3,6},{2,4},{5}} => 2

{{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => [[1,2,4],[3],[5],[6]] => {{1,2,4},{3},{5},{6}} => 1

{{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => [[1,3],[2,4],[5],[6]] => {{1,3},{2,4},{5},{6}} => 1

{{1,2},{3},{4,5,6}} => [2,1,3,5,6,4] => [[1,3,4,5],[2,6]] => {{1,3,4,5},{2,6}} => 3

{{1,2},{3},{4,5},{6}} => [2,1,3,5,4,6] => [[1,3,4,6],[2,5]] => {{1,3,4,6},{2,5}} => 3

{{1,2,6},{3},{4},{5}} => [2,6,3,4,5,1] => [[1,2,4,5],[3],[6]] => {{1,2,4,5},{3},{6}} => 2

{{1,2},{3,6},{4},{5}} => [2,1,6,4,5,3] => [[1,3,5],[2,4],[6]] => {{1,3,5},{2,4},{6}} => 2

{{1,2},{3},{4,6},{5}} => [2,1,3,6,5,4] => [[1,3,4],[2,5],[6]] => {{1,3,4},{2,5},{6}} => 2

{{1,2},{3},{4},{5,6}} => [2,1,3,4,6,5] => [[1,3,4,5],[2,6]] => {{1,3,4,5},{2,6}} => 3

{{1,2},{3},{4},{5},{6}} => [2,1,3,4,5,6] => [[1,3,4,5,6],[2]] => {{1,3,4,5,6},{2}} => 4

{{1,3,4,5,6},{2}} => [3,2,4,5,6,1] => [[1,3,4,5],[2],[6]] => {{1,3,4,5},{2},{6}} => 3

{{1,3,4,5},{2,6}} => [3,6,4,5,1,2] => [[1,2,4],[3,6],[5]] => {{1,2,4},{3,6},{5}} => 3

{{1,3,4,5},{2},{6}} => [3,2,4,5,1,6] => [[1,3,4,6],[2],[5]] => {{1,3,4,6},{2},{5}} => 3

{{1,3,4,6},{2,5}} => [3,5,4,6,2,1] => [[1,2,4],[3],[5],[6]] => {{1,2,4},{3},{5},{6}} => 1

{{1,3,4},{2,5,6}} => [3,5,4,1,6,2] => [[1,2,5],[3,6],[4]] => {{1,2,5},{3,6},{4}} => 3

{{1,3,4},{2,5},{6}} => [3,5,4,1,2,6] => [[1,2,6],[3,5],[4]] => {{1,2,6},{3,5},{4}} => 3

{{1,3,4,6},{2},{5}} => [3,2,4,6,5,1] => [[1,3,4],[2,5],[6]] => {{1,3,4},{2,5},{6}} => 2

{{1,3,4},{2,6},{5}} => [3,6,4,1,5,2] => [[1,2,5],[3,6],[4]] => {{1,2,5},{3,6},{4}} => 3

{{1,3,4},{2},{5,6}} => [3,2,4,1,6,5] => [[1,3,5],[2,6],[4]] => {{1,3,5},{2,6},{4}} => 4

{{1,3,4},{2},{5},{6}} => [3,2,4,1,5,6] => [[1,3,5,6],[2],[4]] => {{1,3,5,6},{2},{4}} => 3

{{1,3,5,6},{2,4}} => [3,4,5,2,6,1] => [[1,2,3,5],[4],[6]] => {{1,2,3,5},{4},{6}} => 1

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

{{1,3,5},{2,4},{6}} => [3,4,5,2,1,6] => [[1,2,3,6],[4],[5]] => {{1,2,3,6},{4},{5}} => 1

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

{{1,3},{2,4,5,6}} => [3,4,1,5,6,2] => [[1,2,4,5],[3,6]] => {{1,2,4,5},{3,6}} => 2

{{1,3},{2,4,5},{6}} => [3,4,1,5,2,6] => [[1,2,4,6],[3,5]] => {{1,2,4,6},{3,5}} => 2

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

{{1,3},{2,4,6},{5}} => [3,4,1,6,5,2] => [[1,2,4],[3,5],[6]] => {{1,2,4},{3,5},{6}} => 1

{{1,3},{2,4},{5,6}} => [3,4,1,2,6,5] => [[1,2,5],[3,4,6]] => {{1,2,5},{3,4,6}} => 1

{{1,3},{2,4},{5},{6}} => [3,4,1,2,5,6] => [[1,2,5,6],[3,4]] => {{1,2,5,6},{3,4}} => 2

{{1,3,5,6},{2},{4}} => [3,2,5,4,6,1] => [[1,3,5],[2,4],[6]] => {{1,3,5},{2,4},{6}} => 2

{{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => [[1,2],[3,6],[4],[5]] => {{1,2},{3,6},{4},{5}} => 2

{{1,3,5},{2},{4,6}} => [3,2,5,6,1,4] => [[1,3,4],[2,6],[5]] => {{1,3,4},{2,6},{5}} => 4

{{1,3,5},{2},{4},{6}} => [3,2,5,4,1,6] => [[1,3,6],[2,4],[5]] => {{1,3,6},{2,4},{5}} => 2

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

{{1,3},{2,5,6},{4}} => [3,5,1,4,6,2] => [[1,2,5],[3,4],[6]] => {{1,2,5},{3,4},{6}} => 1

{{1,3},{2,5},{4,6}} => [3,5,1,6,2,4] => [[1,2,4],[3,5,6]] => {{1,2,4},{3,5,6}} => 1

{{1,3},{2,5},{4},{6}} => [3,5,1,4,2,6] => [[1,2,6],[3,4],[5]] => {{1,2,6},{3,4},{5}} => 1

{{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => [[1,3],[2,4],[5],[6]] => {{1,3},{2,4},{5},{6}} => 1

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

{{1,3},{2},{4,5,6}} => [3,2,1,5,6,4] => [[1,4,5],[2,6],[3]] => {{1,4,5},{2,6},{3}} => 4

{{1,3},{2},{4,5},{6}} => [3,2,1,5,4,6] => [[1,4,6],[2,5],[3]] => {{1,4,6},{2,5},{3}} => 4

{{1,3,6},{2},{4},{5}} => [3,2,6,4,5,1] => [[1,3,5],[2,4],[6]] => {{1,3,5},{2,4},{6}} => 2

{{1,3},{2,6},{4},{5}} => [3,6,1,4,5,2] => [[1,2,5],[3,4],[6]] => {{1,2,5},{3,4},{6}} => 1

{{1,3},{2},{4,6},{5}} => [3,2,1,6,5,4] => [[1,4],[2,5],[3,6]] => {{1,4},{2,5},{3,6}} => 3

{{1,3},{2},{4},{5,6}} => [3,2,1,4,6,5] => [[1,4,5],[2,6],[3]] => {{1,4,5},{2,6},{3}} => 4

{{1,3},{2},{4},{5},{6}} => [3,2,1,4,5,6] => [[1,4,5,6],[2],[3]] => {{1,4,5,6},{2},{3}} => 3

{{1,4,5,6},{2,3}} => [4,3,2,5,6,1] => [[1,4,5],[2],[3],[6]] => {{1,4,5},{2},{3},{6}} => 2

{{1,4,5},{2,3,6}} => [4,3,6,5,1,2] => [[1,3],[2,4],[5,6]] => {{1,3},{2,4},{5,6}} => 1

{{1,4,5},{2,3},{6}} => [4,3,2,5,1,6] => [[1,4,6],[2],[3],[5]] => {{1,4,6},{2},{3},{5}} => 2

{{1,4,6},{2,3,5}} => [4,3,5,6,2,1] => [[1,3,4],[2],[5],[6]] => {{1,3,4},{2},{5},{6}} => 2

{{1,4},{2,3,5,6}} => [4,3,5,1,6,2] => [[1,3,5],[2,6],[4]] => {{1,3,5},{2,6},{4}} => 4

{{1,4},{2,3,5},{6}} => [4,3,5,1,2,6] => [[1,3,6],[2,5],[4]] => {{1,3,6},{2,5},{4}} => 4

{{1,4,6},{2,3},{5}} => [4,3,2,6,5,1] => [[1,4],[2,5],[3],[6]] => {{1,4},{2,5},{3},{6}} => 3

{{1,4},{2,3,6},{5}} => [4,3,6,1,5,2] => [[1,3],[2,5],[4,6]] => {{1,3},{2,5},{4,6}} => 3

{{1,4},{2,3},{5,6}} => [4,3,2,1,6,5] => [[1,5],[2,6],[3],[4]] => {{1,5},{2,6},{3},{4}} => 3

{{1,4},{2,3},{5},{6}} => [4,3,2,1,5,6] => [[1,5,6],[2],[3],[4]] => {{1,5,6},{2},{3},{4}} => 2

{{1,5,6},{2,3,4}} => [5,3,4,2,6,1] => [[1,3,5],[2],[4],[6]] => {{1,3,5},{2},{4},{6}} => 2

{{1,5},{2,3,4,6}} => [5,3,4,6,1,2] => [[1,3,4],[2,6],[5]] => {{1,3,4},{2,6},{5}} => 4

{{1,5},{2,3,4},{6}} => [5,3,4,2,1,6] => [[1,3,6],[2],[4],[5]] => {{1,3,6},{2},{4},{5}} => 2

{{1,6},{2,3,4,5}} => [6,3,4,5,2,1] => [[1,3,4],[2],[5],[6]] => {{1,3,4},{2},{5},{6}} => 2

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

{{1},{2,3,4,5},{6}} => [1,3,4,5,2,6] => [[1,2,3,4,6],[5]] => {{1,2,3,4,6},{5}} => 1

{{1,6},{2,3,4},{5}} => [6,3,4,2,5,1] => [[1,3,5],[2],[4],[6]] => {{1,3,5},{2},{4},{6}} => 2

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

{{1},{2,3,4},{5,6}} => [1,3,4,2,6,5] => [[1,2,3,5],[4,6]] => {{1,2,3,5},{4,6}} => 1

{{1},{2,3,4},{5},{6}} => [1,3,4,2,5,6] => [[1,2,3,5,6],[4]] => {{1,2,3,5,6},{4}} => 2

{{1,5,6},{2,3},{4}} => [5,3,2,4,6,1] => [[1,4,5],[2],[3],[6]] => {{1,4,5},{2},{3},{6}} => 2

{{1,5},{2,3,6},{4}} => [5,3,6,4,1,2] => [[1,3],[2,4],[5,6]] => {{1,3},{2,4},{5,6}} => 1

{{1,5},{2,3},{4,6}} => [5,3,2,6,1,4] => [[1,4],[2,6],[3],[5]] => {{1,4},{2,6},{3},{5}} => 3

{{1,5},{2,3},{4},{6}} => [5,3,2,4,1,6] => [[1,4,6],[2],[3],[5]] => {{1,4,6},{2},{3},{5}} => 2

{{1,6},{2,3,5},{4}} => [6,3,5,4,2,1] => [[1,3],[2],[4],[5],[6]] => {{1,3},{2},{4},{5},{6}} => 1

{{1},{2,3,5,6},{4}} => [1,3,5,4,6,2] => [[1,2,3,5],[4],[6]] => {{1,2,3,5},{4},{6}} => 1

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

{{1},{2,3,5},{4},{6}} => [1,3,5,4,2,6] => [[1,2,3,6],[4],[5]] => {{1,2,3,6},{4},{5}} => 1

{{1,6},{2,3},{4,5}} => [6,3,2,5,4,1] => [[1,4],[2,5],[3],[6]] => {{1,4},{2,5},{3},{6}} => 3

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

{{1},{2,3},{4,5,6}} => [1,3,2,5,6,4] => [[1,2,4,5],[3,6]] => {{1,2,4,5},{3,6}} => 2

{{1},{2,3},{4,5},{6}} => [1,3,2,5,4,6] => [[1,2,4,6],[3,5]] => {{1,2,4,6},{3,5}} => 2

{{1,6},{2,3},{4},{5}} => [6,3,2,4,5,1] => [[1,4,5],[2],[3],[6]] => {{1,4,5},{2},{3},{6}} => 2

{{1},{2,3,6},{4},{5}} => [1,3,6,4,5,2] => [[1,2,3,5],[4],[6]] => {{1,2,3,5},{4},{6}} => 1

{{1},{2,3},{4,6},{5}} => [1,3,2,6,5,4] => [[1,2,4],[3,5],[6]] => {{1,2,4},{3,5},{6}} => 1

{{1},{2,3},{4},{5,6}} => [1,3,2,4,6,5] => [[1,2,4,5],[3,6]] => {{1,2,4,5},{3,6}} => 2

{{1},{2,3},{4},{5},{6}} => [1,3,2,4,5,6] => [[1,2,4,5,6],[3]] => {{1,2,4,5,6},{3}} => 3

{{1,4,5,6},{2},{3}} => [4,2,3,5,6,1] => [[1,3,4,5],[2],[6]] => {{1,3,4,5},{2},{6}} => 3

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

{{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => [[1,3],[2,4],[5,6]] => {{1,3},{2,4},{5,6}} => 1

{{1,4,5},{2},{3},{6}} => [4,2,3,5,1,6] => [[1,3,4,6],[2],[5]] => {{1,3,4,6},{2},{5}} => 3

{{1,4,6},{2,5},{3}} => [4,5,3,6,2,1] => [[1,2,4],[3],[5],[6]] => {{1,2,4},{3},{5},{6}} => 1

{{1,4},{2,5,6},{3}} => [4,5,3,1,6,2] => [[1,2,5],[3,6],[4]] => {{1,2,5},{3,6},{4}} => 3

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

{{1,4},{2,5},{3},{6}} => [4,5,3,1,2,6] => [[1,2,6],[3,5],[4]] => {{1,2,6},{3,5},{4}} => 3

{{1,4,6},{2},{3,5}} => [4,2,5,6,3,1] => [[1,3,4],[2,5],[6]] => {{1,3,4},{2,5},{6}} => 2

{{1,4},{2,6},{3,5}} => [4,6,5,1,3,2] => [[1,2],[3,5],[4],[6]] => {{1,2},{3,5},{4},{6}} => 2

{{1,4},{2},{3,5,6}} => [4,2,5,1,6,3] => [[1,3,5],[2,6],[4]] => {{1,3,5},{2,6},{4}} => 4

{{1,4},{2},{3,5},{6}} => [4,2,5,1,3,6] => [[1,3,6],[2,5],[4]] => {{1,3,6},{2,5},{4}} => 4

{{1,4,6},{2},{3},{5}} => [4,2,3,6,5,1] => [[1,3,4],[2,5],[6]] => {{1,3,4},{2,5},{6}} => 2

{{1,4},{2,6},{3},{5}} => [4,6,3,1,5,2] => [[1,2],[3,5],[4,6]] => {{1,2},{3,5},{4,6}} => 2

{{1,4},{2},{3,6},{5}} => [4,2,6,1,5,3] => [[1,3],[2,5],[4,6]] => {{1,3},{2,5},{4,6}} => 3

{{1,4},{2},{3},{5,6}} => [4,2,3,1,6,5] => [[1,3,5],[2,6],[4]] => {{1,3,5},{2,6},{4}} => 4

{{1,4},{2},{3},{5},{6}} => [4,2,3,1,5,6] => [[1,3,5,6],[2],[4]] => {{1,3,5,6},{2},{4}} => 3

{{1,5,6},{2,4},{3}} => [5,4,3,2,6,1] => [[1,5],[2],[3],[4],[6]] => {{1,5},{2},{3},{4},{6}} => 1

{{1,5},{2,4,6},{3}} => [5,4,3,6,1,2] => [[1,4],[2,6],[3],[5]] => {{1,4},{2,6},{3},{5}} => 3

{{1,5},{2,4},{3,6}} => [5,4,6,2,1,3] => [[1,3],[2,6],[4],[5]] => {{1,3},{2,6},{4},{5}} => 3

{{1,5},{2,4},{3},{6}} => [5,4,3,2,1,6] => [[1,6],[2],[3],[4],[5]] => {{1,6},{2},{3},{4},{5}} => 1

{{1,6},{2,4,5},{3}} => [6,4,3,5,2,1] => [[1,4],[2],[3],[5],[6]] => {{1,4},{2},{3},{5},{6}} => 1

{{1},{2,4,5,6},{3}} => [1,4,3,5,6,2] => [[1,2,4,5],[3],[6]] => {{1,2,4,5},{3},{6}} => 2

{{1},{2,4,5},{3,6}} => [1,4,6,5,2,3] => [[1,2,3],[4,6],[5]] => {{1,2,3},{4,6},{5}} => 2

{{1},{2,4,5},{3},{6}} => [1,4,3,5,2,6] => [[1,2,4,6],[3],[5]] => {{1,2,4,6},{3},{5}} => 2

{{1,6},{2,4},{3,5}} => [6,4,5,2,3,1] => [[1,3],[2,5],[4],[6]] => {{1,3},{2,5},{4},{6}} => 3

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

{{1},{2,4},{3,5,6}} => [1,4,5,2,6,3] => [[1,2,3,5],[4,6]] => {{1,2,3,5},{4,6}} => 1

{{1},{2,4},{3,5},{6}} => [1,4,5,2,3,6] => [[1,2,3,6],[4,5]] => {{1,2,3,6},{4,5}} => 1

{{1,6},{2,4},{3},{5}} => [6,4,3,2,5,1] => [[1,5],[2],[3],[4],[6]] => {{1,5},{2},{3},{4},{6}} => 1

{{1},{2,4,6},{3},{5}} => [1,4,3,6,5,2] => [[1,2,4],[3,5],[6]] => {{1,2,4},{3,5},{6}} => 1

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

{{1},{2,4},{3},{5,6}} => [1,4,3,2,6,5] => [[1,2,5],[3,6],[4]] => {{1,2,5},{3,6},{4}} => 3

{{1},{2,4},{3},{5},{6}} => [1,4,3,2,5,6] => [[1,2,5,6],[3],[4]] => {{1,2,5,6},{3},{4}} => 2

{{1,5,6},{2},{3,4}} => [5,2,4,3,6,1] => [[1,3,5],[2],[4],[6]] => {{1,3,5},{2},{4},{6}} => 2

{{1,5},{2,6},{3,4}} => [5,6,4,3,1,2] => [[1,2],[3,6],[4],[5]] => {{1,2},{3,6},{4},{5}} => 2

{{1,5},{2},{3,4,6}} => [5,2,4,6,1,3] => [[1,3,4],[2,6],[5]] => {{1,3,4},{2,6},{5}} => 4

{{1,5},{2},{3,4},{6}} => [5,2,4,3,1,6] => [[1,3,6],[2],[4],[5]] => {{1,3,6},{2},{4},{5}} => 2

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

{{1},{2,5,6},{3,4}} => [1,5,4,3,6,2] => [[1,2,5],[3],[4],[6]] => {{1,2,5},{3},{4},{6}} => 1

{{1},{2,5},{3,4,6}} => [1,5,4,6,2,3] => [[1,2,4],[3,6],[5]] => {{1,2,4},{3,6},{5}} => 3

{{1},{2,5},{3,4},{6}} => [1,5,4,3,2,6] => [[1,2,6],[3],[4],[5]] => {{1,2,6},{3},{4},{5}} => 1

{{1,6},{2},{3,4,5}} => [6,2,4,5,3,1] => [[1,3,4],[2],[5],[6]] => {{1,3,4},{2},{5},{6}} => 2

{{1},{2,6},{3,4,5}} => [1,6,4,5,3,2] => [[1,2,4],[3],[5],[6]] => {{1,2,4},{3},{5},{6}} => 1

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

{{1},{2},{3,4,5},{6}} => [1,2,4,5,3,6] => [[1,2,3,4,6],[5]] => {{1,2,3,4,6},{5}} => 1

{{1,6},{2},{3,4},{5}} => [6,2,4,3,5,1] => [[1,3,5],[2],[4],[6]] => {{1,3,5},{2},{4},{6}} => 2

{{1},{2,6},{3,4},{5}} => [1,6,4,3,5,2] => [[1,2,5],[3],[4],[6]] => {{1,2,5},{3},{4},{6}} => 1

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

{{1},{2},{3,4},{5,6}} => [1,2,4,3,6,5] => [[1,2,3,5],[4,6]] => {{1,2,3,5},{4,6}} => 1

{{1},{2},{3,4},{5},{6}} => [1,2,4,3,5,6] => [[1,2,3,5,6],[4]] => {{1,2,3,5,6},{4}} => 2

{{1,5,6},{2},{3},{4}} => [5,2,3,4,6,1] => [[1,3,4,5],[2],[6]] => {{1,3,4,5},{2},{6}} => 3

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

{{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => [[1,3],[2,4],[5,6]] => {{1,3},{2,4},{5,6}} => 1

{{1,5},{2},{3},{4,6}} => [5,2,3,6,1,4] => [[1,3,4],[2,6],[5]] => {{1,3,4},{2,6},{5}} => 4

{{1,5},{2},{3},{4},{6}} => [5,2,3,4,1,6] => [[1,3,4,6],[2],[5]] => {{1,3,4,6},{2},{5}} => 3

{{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => [[1,4],[2],[3],[5],[6]] => {{1,4},{2},{3},{5},{6}} => 1

{{1},{2,5,6},{3},{4}} => [1,5,3,4,6,2] => [[1,2,4,5],[3],[6]] => {{1,2,4,5},{3},{6}} => 2

{{1},{2,5},{3,6},{4}} => [1,5,6,4,2,3] => [[1,2,3],[4,6],[5]] => {{1,2,3},{4,6},{5}} => 2

{{1},{2,5},{3},{4,6}} => [1,5,3,6,2,4] => [[1,2,4],[3,6],[5]] => {{1,2,4},{3,6},{5}} => 3

{{1},{2,5},{3},{4},{6}} => [1,5,3,4,2,6] => [[1,2,4,6],[3],[5]] => {{1,2,4,6},{3},{5}} => 2

{{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => [[1,3],[2],[4],[5],[6]] => {{1,3},{2},{4},{5},{6}} => 1

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

{{1},{2},{3,5,6},{4}} => [1,2,5,4,6,3] => [[1,2,3,5],[4],[6]] => {{1,2,3,5},{4},{6}} => 1

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

{{1},{2},{3,5},{4},{6}} => [1,2,5,4,3,6] => [[1,2,3,6],[4],[5]] => {{1,2,3,6},{4},{5}} => 1

{{1,6},{2},{3},{4,5}} => [6,2,3,5,4,1] => [[1,3,4],[2],[5],[6]] => {{1,3,4},{2},{5},{6}} => 2

{{1},{2,6},{3},{4,5}} => [1,6,3,5,4,2] => [[1,2,4],[3],[5],[6]] => {{1,2,4},{3},{5},{6}} => 1

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

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

{{1},{2},{3},{4,5},{6}} => [1,2,3,5,4,6] => [[1,2,3,4,6],[5]] => {{1,2,3,4,6},{5}} => 1

{{1,6},{2},{3},{4},{5}} => [6,2,3,4,5,1] => [[1,3,4,5],[2],[6]] => {{1,3,4,5},{2},{6}} => 3

{{1},{2,6},{3},{4},{5}} => [1,6,3,4,5,2] => [[1,2,4,5],[3],[6]] => {{1,2,4,5},{3},{6}} => 2

{{1},{2},{3,6},{4},{5}} => [1,2,6,4,5,3] => [[1,2,3,5],[4],[6]] => {{1,2,3,5},{4},{6}} => 1

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

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

{{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] => [[1,2,3,4,5,6],[7]] => {{1,2,3,4,5,6},{7}} => 0

{{1,2,3,4,5,6},{7}} => [2,3,4,5,6,1,7] => [[1,2,3,4,5,7],[6]] => {{1,2,3,4,5,7},{6}} => 1

{{1,2,3,4,5,7},{6}} => [2,3,4,5,7,6,1] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0

{{1,2,3,4,5},{6,7}} => [2,3,4,5,1,7,6] => [[1,2,3,4,6],[5,7]] => {{1,2,3,4,6},{5,7}} => 1

{{1,2,3,4,5},{6},{7}} => [2,3,4,5,1,6,7] => [[1,2,3,4,6,7],[5]] => {{1,2,3,4,6,7},{5}} => 2

{{1,2,3,4,6,7},{5}} => [2,3,4,6,5,7,1] => [[1,2,3,4,6],[5],[7]] => {{1,2,3,4,6},{5},{7}} => 1

{{1,2,3,4,6},{5,7}} => [2,3,4,6,7,1,5] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 0

{{1,2,3,4,6},{5},{7}} => [2,3,4,6,5,1,7] => [[1,2,3,4,7],[5],[6]] => {{1,2,3,4,7},{5},{6}} => 1

{{1,2,3,4,7},{5,6}} => [2,3,4,7,6,5,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0

{{1,2,3,4},{5,6,7}} => [2,3,4,1,6,7,5] => [[1,2,3,5,6],[4,7]] => {{1,2,3,5,6},{4,7}} => 2

{{1,2,3,4},{5,6},{7}} => [2,3,4,1,6,5,7] => [[1,2,3,5,7],[4,6]] => {{1,2,3,5,7},{4,6}} => 2

{{1,2,3,4,7},{5},{6}} => [2,3,4,7,5,6,1] => [[1,2,3,4,6],[5],[7]] => {{1,2,3,4,6},{5},{7}} => 1

{{1,2,3,4},{5,7},{6}} => [2,3,4,1,7,6,5] => [[1,2,3,5],[4,6],[7]] => {{1,2,3,5},{4,6},{7}} => 1

{{1,2,3,4},{5},{6,7}} => [2,3,4,1,5,7,6] => [[1,2,3,5,6],[4,7]] => {{1,2,3,5,6},{4,7}} => 2

{{1,2,3,4},{5},{6},{7}} => [2,3,4,1,5,6,7] => [[1,2,3,5,6,7],[4]] => {{1,2,3,5,6,7},{4}} => 3

{{1,2,3,5,6,7},{4}} => [2,3,5,4,6,7,1] => [[1,2,3,5,6],[4],[7]] => {{1,2,3,5,6},{4},{7}} => 2

{{1,2,3,5,6},{4,7}} => [2,3,5,7,6,1,4] => [[1,2,3,4],[5,7],[6]] => {{1,2,3,4},{5,7},{6}} => 2

{{1,2,3,5,6},{4},{7}} => [2,3,5,4,6,1,7] => [[1,2,3,5,7],[4],[6]] => {{1,2,3,5,7},{4},{6}} => 2

{{1,2,3,5,7},{4,6}} => [2,3,5,6,7,4,1] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0

{{1,2,3,5},{4,6,7}} => [2,3,5,6,1,7,4] => [[1,2,3,4,6],[5,7]] => {{1,2,3,4,6},{5,7}} => 1

{{1,2,3,5},{4,6},{7}} => [2,3,5,6,1,4,7] => [[1,2,3,4,7],[5,6]] => {{1,2,3,4,7},{5,6}} => 1

{{1,2,3,5,7},{4},{6}} => [2,3,5,4,7,6,1] => [[1,2,3,5],[4,6],[7]] => {{1,2,3,5},{4,6},{7}} => 1

{{1,2,3,5},{4,7},{6}} => [2,3,5,7,1,6,4] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 0

{{1,2,3,5},{4},{6,7}} => [2,3,5,4,1,7,6] => [[1,2,3,6],[4,7],[5]] => {{1,2,3,6},{4,7},{5}} => 3

{{1,2,3,5},{4},{6},{7}} => [2,3,5,4,1,6,7] => [[1,2,3,6,7],[4],[5]] => {{1,2,3,6,7},{4},{5}} => 2

{{1,2,3,6,7},{4,5}} => [2,3,6,5,4,7,1] => [[1,2,3,6],[4],[5],[7]] => {{1,2,3,6},{4},{5},{7}} => 1

{{1,2,3,6},{4,5,7}} => [2,3,6,5,7,1,4] => [[1,2,3,5],[4,7],[6]] => {{1,2,3,5},{4,7},{6}} => 3

{{1,2,3,6},{4,5},{7}} => [2,3,6,5,4,1,7] => [[1,2,3,7],[4],[5],[6]] => {{1,2,3,7},{4},{5},{6}} => 1

{{1,2,3,7},{4,5,6}} => [2,3,7,5,6,4,1] => [[1,2,3,5],[4],[6],[7]] => {{1,2,3,5},{4},{6},{7}} => 1

{{1,2,3},{4,5,6,7}} => [2,3,1,5,6,7,4] => [[1,2,4,5,6],[3,7]] => {{1,2,4,5,6},{3,7}} => 3

{{1,2,3},{4,5,6},{7}} => [2,3,1,5,6,4,7] => [[1,2,4,5,7],[3,6]] => {{1,2,4,5,7},{3,6}} => 3

{{1,2,3,7},{4,5},{6}} => [2,3,7,5,4,6,1] => [[1,2,3,6],[4],[5],[7]] => {{1,2,3,6},{4},{5},{7}} => 1

{{1,2,3},{4,5,7},{6}} => [2,3,1,5,7,6,4] => [[1,2,4,5],[3,6],[7]] => {{1,2,4,5},{3,6},{7}} => 2

{{1,2,3},{4,5},{6,7}} => [2,3,1,5,4,7,6] => [[1,2,4,6],[3,5,7]] => {{1,2,4,6},{3,5,7}} => 2

{{1,2,3},{4,5},{6},{7}} => [2,3,1,5,4,6,7] => [[1,2,4,6,7],[3,5]] => {{1,2,4,6,7},{3,5}} => 3

{{1,2,3,6,7},{4},{5}} => [2,3,6,4,5,7,1] => [[1,2,3,5,6],[4],[7]] => {{1,2,3,5,6},{4},{7}} => 2

{{1,2,3,6},{4,7},{5}} => [2,3,6,7,5,1,4] => [[1,2,3,4],[5,7],[6]] => {{1,2,3,4},{5,7},{6}} => 2

{{1,2,3,6},{4},{5,7}} => [2,3,6,4,7,1,5] => [[1,2,3,5],[4,7],[6]] => {{1,2,3,5},{4,7},{6}} => 3

{{1,2,3,6},{4},{5},{7}} => [2,3,6,4,5,1,7] => [[1,2,3,5,7],[4],[6]] => {{1,2,3,5,7},{4},{6}} => 2

{{1,2,3,7},{4,6},{5}} => [2,3,7,6,5,4,1] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 0

{{1,2,3},{4,6,7},{5}} => [2,3,1,6,5,7,4] => [[1,2,4,6],[3,5],[7]] => {{1,2,4,6},{3,5},{7}} => 2

{{1,2,3},{4,6},{5,7}} => [2,3,1,6,7,4,5] => [[1,2,4,5],[3,6,7]] => {{1,2,4,5},{3,6,7}} => 2

{{1,2,3},{4,6},{5},{7}} => [2,3,1,6,5,4,7] => [[1,2,4,7],[3,5],[6]] => {{1,2,4,7},{3,5},{6}} => 2

{{1,2,3,7},{4},{5,6}} => [2,3,7,4,6,5,1] => [[1,2,3,5],[4],[6],[7]] => {{1,2,3,5},{4},{6},{7}} => 1

{{1,2,3},{4,7},{5,6}} => [2,3,1,7,6,5,4] => [[1,2,4],[3,5],[6],[7]] => {{1,2,4},{3,5},{6},{7}} => 1

{{1,2,3},{4},{5,6,7}} => [2,3,1,4,6,7,5] => [[1,2,4,5,6],[3,7]] => {{1,2,4,5,6},{3,7}} => 3

{{1,2,3},{4},{5,6},{7}} => [2,3,1,4,6,5,7] => [[1,2,4,5,7],[3,6]] => {{1,2,4,5,7},{3,6}} => 3

{{1,2,3,7},{4},{5},{6}} => [2,3,7,4,5,6,1] => [[1,2,3,5,6],[4],[7]] => {{1,2,3,5,6},{4},{7}} => 2

{{1,2,3},{4,7},{5},{6}} => [2,3,1,7,5,6,4] => [[1,2,4,6],[3,5],[7]] => {{1,2,4,6},{3,5},{7}} => 2

{{1,2,3},{4},{5,7},{6}} => [2,3,1,4,7,6,5] => [[1,2,4,5],[3,6],[7]] => {{1,2,4,5},{3,6},{7}} => 2

{{1,2,3},{4},{5},{6,7}} => [2,3,1,4,5,7,6] => [[1,2,4,5,6],[3,7]] => {{1,2,4,5,6},{3,7}} => 3

{{1,2,3},{4},{5},{6},{7}} => [2,3,1,4,5,6,7] => [[1,2,4,5,6,7],[3]] => {{1,2,4,5,6,7},{3}} => 4

{{1,2,4,5,6,7},{3}} => [2,4,3,5,6,7,1] => [[1,2,4,5,6],[3],[7]] => {{1,2,4,5,6},{3},{7}} => 3

{{1,2,4,5,6},{3,7}} => [2,4,7,5,6,1,3] => [[1,2,3,5],[4,7],[6]] => {{1,2,3,5},{4,7},{6}} => 3

{{1,2,4,5,6},{3},{7}} => [2,4,3,5,6,1,7] => [[1,2,4,5,7],[3],[6]] => {{1,2,4,5,7},{3},{6}} => 3

{{1,2,4,5,7},{3,6}} => [2,4,6,5,7,3,1] => [[1,2,3,5],[4],[6],[7]] => {{1,2,3,5},{4},{6},{7}} => 1

{{1,2,4,5},{3,6,7}} => [2,4,6,5,1,7,3] => [[1,2,3,6],[4,7],[5]] => {{1,2,3,6},{4,7},{5}} => 3

{{1,2,4,5},{3,6},{7}} => [2,4,6,5,1,3,7] => [[1,2,3,7],[4,6],[5]] => {{1,2,3,7},{4,6},{5}} => 3

{{1,2,4,5,7},{3},{6}} => [2,4,3,5,7,6,1] => [[1,2,4,5],[3,6],[7]] => {{1,2,4,5},{3,6},{7}} => 2

{{1,2,4,5},{3,7},{6}} => [2,4,7,5,1,6,3] => [[1,2,3,6],[4,7],[5]] => {{1,2,3,6},{4,7},{5}} => 3

{{1,2,4,5},{3},{6,7}} => [2,4,3,5,1,7,6] => [[1,2,4,6],[3,7],[5]] => {{1,2,4,6},{3,7},{5}} => 4

{{1,2,4,5},{3},{6},{7}} => [2,4,3,5,1,6,7] => [[1,2,4,6,7],[3],[5]] => {{1,2,4,6,7},{3},{5}} => 3

{{1,2,4,6,7},{3,5}} => [2,4,5,6,3,7,1] => [[1,2,3,4,6],[5],[7]] => {{1,2,3,4,6},{5},{7}} => 1

{{1,2,4,6},{3,5,7}} => [2,4,5,6,7,1,3] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 0

{{1,2,4,6},{3,5},{7}} => [2,4,5,6,3,1,7] => [[1,2,3,4,7],[5],[6]] => {{1,2,3,4,7},{5},{6}} => 1

{{1,2,4,7},{3,5,6}} => [2,4,5,7,6,3,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0

{{1,2,4},{3,5,6,7}} => [2,4,5,1,6,7,3] => [[1,2,3,5,6],[4,7]] => {{1,2,3,5,6},{4,7}} => 2

{{1,2,4},{3,5,6},{7}} => [2,4,5,1,6,3,7] => [[1,2,3,5,7],[4,6]] => {{1,2,3,5,7},{4,6}} => 2

{{1,2,4,7},{3,5},{6}} => [2,4,5,7,3,6,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 0

{{1,2,4},{3,5,7},{6}} => [2,4,5,1,7,6,3] => [[1,2,3,5],[4,6],[7]] => {{1,2,3,5},{4,6},{7}} => 1

{{1,2,4},{3,5},{6,7}} => [2,4,5,1,3,7,6] => [[1,2,3,6],[4,5,7]] => {{1,2,3,6},{4,5,7}} => 1

{{1,2,4},{3,5},{6},{7}} => [2,4,5,1,3,6,7] => [[1,2,3,6,7],[4,5]] => {{1,2,3,6,7},{4,5}} => 2

{{1,2,4,6,7},{3},{5}} => [2,4,3,6,5,7,1] => [[1,2,4,6],[3,5],[7]] => {{1,2,4,6},{3,5},{7}} => 2

{{1,2,4,6},{3,7},{5}} => [2,4,7,6,5,1,3] => [[1,2,3],[4,7],[5],[6]] => {{1,2,3},{4,7},{5},{6}} => 2

{{1,2,4,6},{3},{5,7}} => [2,4,3,6,7,1,5] => [[1,2,4,5],[3,7],[6]] => {{1,2,4,5},{3,7},{6}} => 4

{{1,2,4,6},{3},{5},{7}} => [2,4,3,6,5,1,7] => [[1,2,4,7],[3,5],[6]] => {{1,2,4,7},{3,5},{6}} => 2

{{1,2,4,7},{3,6},{5}} => [2,4,6,7,5,3,1] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0

{{1,2,4},{3,6,7},{5}} => [2,4,6,1,5,7,3] => [[1,2,3,6],[4,5],[7]] => {{1,2,3,6},{4,5},{7}} => 1

{{1,2,4},{3,6},{5,7}} => [2,4,6,1,7,3,5] => [[1,2,3,5],[4,6,7]] => {{1,2,3,5},{4,6,7}} => 1

{{1,2,4},{3,6},{5},{7}} => [2,4,6,1,5,3,7] => [[1,2,3,7],[4,5],[6]] => {{1,2,3,7},{4,5},{6}} => 1

{{1,2,4,7},{3},{5,6}} => [2,4,3,7,6,5,1] => [[1,2,4],[3,5],[6],[7]] => {{1,2,4},{3,5},{6},{7}} => 1

{{1,2,4},{3,7},{5,6}} => [2,4,7,1,6,5,3] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 0

{{1,2,4},{3},{5,6,7}} => [2,4,3,1,6,7,5] => [[1,2,5,6],[3,7],[4]] => {{1,2,5,6},{3,7},{4}} => 4

{{1,2,4},{3},{5,6},{7}} => [2,4,3,1,6,5,7] => [[1,2,5,7],[3,6],[4]] => {{1,2,5,7},{3,6},{4}} => 4

{{1,2,4,7},{3},{5},{6}} => [2,4,3,7,5,6,1] => [[1,2,4,6],[3,5],[7]] => {{1,2,4,6},{3,5},{7}} => 2

{{1,2,4},{3,7},{5},{6}} => [2,4,7,1,5,6,3] => [[1,2,3,6],[4,5],[7]] => {{1,2,3,6},{4,5},{7}} => 1

{{1,2,4},{3},{5,7},{6}} => [2,4,3,1,7,6,5] => [[1,2,5],[3,6],[4,7]] => {{1,2,5},{3,6},{4,7}} => 3

{{1,2,4},{3},{5},{6,7}} => [2,4,3,1,5,7,6] => [[1,2,5,6],[3,7],[4]] => {{1,2,5,6},{3,7},{4}} => 4

{{1,2,4},{3},{5},{6},{7}} => [2,4,3,1,5,6,7] => [[1,2,5,6,7],[3],[4]] => {{1,2,5,6,7},{3},{4}} => 3

{{1,2,5,6,7},{3,4}} => [2,5,4,3,6,7,1] => [[1,2,5,6],[3],[4],[7]] => {{1,2,5,6},{3},{4},{7}} => 2

{{1,2,5,6},{3,4,7}} => [2,5,4,7,6,1,3] => [[1,2,4],[3,5],[6,7]] => {{1,2,4},{3,5},{6,7}} => 1

{{1,2,5,6},{3,4},{7}} => [2,5,4,3,6,1,7] => [[1,2,5,7],[3],[4],[6]] => {{1,2,5,7},{3},{4},{6}} => 2

{{1,2,5,7},{3,4,6}} => [2,5,4,6,7,3,1] => [[1,2,4,5],[3],[6],[7]] => {{1,2,4,5},{3},{6},{7}} => 2

{{1,2,5},{3,4,6,7}} => [2,5,4,6,1,7,3] => [[1,2,4,6],[3,7],[5]] => {{1,2,4,6},{3,7},{5}} => 4

{{1,2,5},{3,4,6},{7}} => [2,5,4,6,1,3,7] => [[1,2,4,7],[3,6],[5]] => {{1,2,4,7},{3,6},{5}} => 4

{{1,2,5,7},{3,4},{6}} => [2,5,4,3,7,6,1] => [[1,2,5],[3,6],[4],[7]] => {{1,2,5},{3,6},{4},{7}} => 3

{{1,2,5},{3,4,7},{6}} => [2,5,4,7,1,6,3] => [[1,2,4],[3,6],[5,7]] => {{1,2,4},{3,6},{5,7}} => 3

{{1,2,5},{3,4},{6,7}} => [2,5,4,3,1,7,6] => [[1,2,6],[3,7],[4],[5]] => {{1,2,6},{3,7},{4},{5}} => 3

{{1,2,5},{3,4},{6},{7}} => [2,5,4,3,1,6,7] => [[1,2,6,7],[3],[4],[5]] => {{1,2,6,7},{3},{4},{5}} => 2

{{1,2,6,7},{3,4,5}} => [2,6,4,5,3,7,1] => [[1,2,4,6],[3],[5],[7]] => {{1,2,4,6},{3},{5},{7}} => 2

{{1,2,6},{3,4,5,7}} => [2,6,4,5,7,1,3] => [[1,2,4,5],[3,7],[6]] => {{1,2,4,5},{3,7},{6}} => 4

{{1,2,6},{3,4,5},{7}} => [2,6,4,5,3,1,7] => [[1,2,4,7],[3],[5],[6]] => {{1,2,4,7},{3},{5},{6}} => 2

{{1,2,7},{3,4,5,6}} => [2,7,4,5,6,3,1] => [[1,2,4,5],[3],[6],[7]] => {{1,2,4,5},{3},{6},{7}} => 2

{{1,2},{3,4,5,6,7}} => [2,1,4,5,6,7,3] => [[1,3,4,5,6],[2,7]] => {{1,3,4,5,6},{2,7}} => 4

{{1,2},{3,4,5,6},{7}} => [2,1,4,5,6,3,7] => [[1,3,4,5,7],[2,6]] => {{1,3,4,5,7},{2,6}} => 4

{{1,2,7},{3,4,5},{6}} => [2,7,4,5,3,6,1] => [[1,2,4,6],[3],[5],[7]] => {{1,2,4,6},{3},{5},{7}} => 2

{{1,2},{3,4,5,7},{6}} => [2,1,4,5,7,6,3] => [[1,3,4,5],[2,6],[7]] => {{1,3,4,5},{2,6},{7}} => 3

{{1,2},{3,4,5},{6,7}} => [2,1,4,5,3,7,6] => [[1,3,4,6],[2,5,7]] => {{1,3,4,6},{2,5,7}} => 3

{{1,2},{3,4,5},{6},{7}} => [2,1,4,5,3,6,7] => [[1,3,4,6,7],[2,5]] => {{1,3,4,6,7},{2,5}} => 4

{{1,2,6,7},{3,4},{5}} => [2,6,4,3,5,7,1] => [[1,2,5,6],[3],[4],[7]] => {{1,2,5,6},{3},{4},{7}} => 2

{{1,2,6},{3,4,7},{5}} => [2,6,4,7,5,1,3] => [[1,2,4],[3,5],[6,7]] => {{1,2,4},{3,5},{6,7}} => 1

{{1,2,6},{3,4},{5,7}} => [2,6,4,3,7,1,5] => [[1,2,5],[3,7],[4],[6]] => {{1,2,5},{3,7},{4},{6}} => 3

{{1,2,6},{3,4},{5},{7}} => [2,6,4,3,5,1,7] => [[1,2,5,7],[3],[4],[6]] => {{1,2,5,7},{3},{4},{6}} => 2

{{1,2,7},{3,4,6},{5}} => [2,7,4,6,5,3,1] => [[1,2,4],[3],[5],[6],[7]] => {{1,2,4},{3},{5},{6},{7}} => 1

{{1,2},{3,4,6,7},{5}} => [2,1,4,6,5,7,3] => [[1,3,4,6],[2,5],[7]] => {{1,3,4,6},{2,5},{7}} => 3

{{1,2},{3,4,6},{5,7}} => [2,1,4,6,7,3,5] => [[1,3,4,5],[2,6,7]] => {{1,3,4,5},{2,6,7}} => 3

{{1,2},{3,4,6},{5},{7}} => [2,1,4,6,5,3,7] => [[1,3,4,7],[2,5],[6]] => {{1,3,4,7},{2,5},{6}} => 3

{{1,2,7},{3,4},{5,6}} => [2,7,4,3,6,5,1] => [[1,2,5],[3,6],[4],[7]] => {{1,2,5},{3,6},{4},{7}} => 3

{{1,2},{3,4,7},{5,6}} => [2,1,4,7,6,5,3] => [[1,3,4],[2,5],[6],[7]] => {{1,3,4},{2,5},{6},{7}} => 2

{{1,2},{3,4},{5,6,7}} => [2,1,4,3,6,7,5] => [[1,3,5,6],[2,4,7]] => {{1,3,5,6},{2,4,7}} => 3

{{1,2},{3,4},{5,6},{7}} => [2,1,4,3,6,5,7] => [[1,3,5,7],[2,4,6]] => {{1,3,5,7},{2,4,6}} => 3

{{1,2,7},{3,4},{5},{6}} => [2,7,4,3,5,6,1] => [[1,2,5,6],[3],[4],[7]] => {{1,2,5,6},{3},{4},{7}} => 2

{{1,2},{3,4,7},{5},{6}} => [2,1,4,7,5,6,3] => [[1,3,4,6],[2,5],[7]] => {{1,3,4,6},{2,5},{7}} => 3

{{1,2},{3,4},{5,7},{6}} => [2,1,4,3,7,6,5] => [[1,3,5],[2,4,6],[7]] => {{1,3,5},{2,4,6},{7}} => 2

{{1,2},{3,4},{5},{6,7}} => [2,1,4,3,5,7,6] => [[1,3,5,6],[2,4,7]] => {{1,3,5,6},{2,4,7}} => 3

{{1,2},{3,4},{5},{6},{7}} => [2,1,4,3,5,6,7] => [[1,3,5,6,7],[2,4]] => {{1,3,5,6,7},{2,4}} => 4

{{1,2,5,6,7},{3},{4}} => [2,5,3,4,6,7,1] => [[1,2,4,5,6],[3],[7]] => {{1,2,4,5,6},{3},{7}} => 3

{{1,2,5,6},{3,7},{4}} => [2,5,7,4,6,1,3] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 0

{{1,2,5,6},{3},{4,7}} => [2,5,3,7,6,1,4] => [[1,2,4],[3,5],[6,7]] => {{1,2,4},{3,5},{6,7}} => 1

{{1,2,5,6},{3},{4},{7}} => [2,5,3,4,6,1,7] => [[1,2,4,5,7],[3],[6]] => {{1,2,4,5,7},{3},{6}} => 3

{{1,2,5,7},{3,6},{4}} => [2,5,6,4,7,3,1] => [[1,2,3,5],[4],[6],[7]] => {{1,2,3,5},{4},{6},{7}} => 1

{{1,2,5},{3,6,7},{4}} => [2,5,6,4,1,7,3] => [[1,2,3,6],[4,7],[5]] => {{1,2,3,6},{4,7},{5}} => 3

{{1,2,5},{3,6},{4,7}} => [2,5,6,7,1,3,4] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 0

{{1,2,5},{3,6},{4},{7}} => [2,5,6,4,1,3,7] => [[1,2,3,7],[4,6],[5]] => {{1,2,3,7},{4,6},{5}} => 3

{{1,2,5,7},{3},{4,6}} => [2,5,3,6,7,4,1] => [[1,2,4,5],[3,6],[7]] => {{1,2,4,5},{3,6},{7}} => 2

{{1,2,5},{3,7},{4,6}} => [2,5,7,6,1,4,3] => [[1,2,3],[4,6],[5],[7]] => {{1,2,3},{4,6},{5},{7}} => 2

{{1,2,5},{3},{4,6,7}} => [2,5,3,6,1,7,4] => [[1,2,4,6],[3,7],[5]] => {{1,2,4,6},{3,7},{5}} => 4

{{1,2,5},{3},{4,6},{7}} => [2,5,3,6,1,4,7] => [[1,2,4,7],[3,6],[5]] => {{1,2,4,7},{3,6},{5}} => 4

{{1,2,5,7},{3},{4},{6}} => [2,5,3,4,7,6,1] => [[1,2,4,5],[3,6],[7]] => {{1,2,4,5},{3,6},{7}} => 2

{{1,2,5},{3,7},{4},{6}} => [2,5,7,4,1,6,3] => [[1,2,3],[4,6],[5,7]] => {{1,2,3},{4,6},{5,7}} => 2

{{1,2,5},{3},{4,7},{6}} => [2,5,3,7,1,6,4] => [[1,2,4],[3,6],[5,7]] => {{1,2,4},{3,6},{5,7}} => 3

{{1,2,5},{3},{4},{6,7}} => [2,5,3,4,1,7,6] => [[1,2,4,6],[3,7],[5]] => {{1,2,4,6},{3,7},{5}} => 4

{{1,2,5},{3},{4},{6},{7}} => [2,5,3,4,1,6,7] => [[1,2,4,6,7],[3],[5]] => {{1,2,4,6,7},{3},{5}} => 3

{{1,2,6,7},{3,5},{4}} => [2,6,5,4,3,7,1] => [[1,2,6],[3],[4],[5],[7]] => {{1,2,6},{3},{4},{5},{7}} => 1

{{1,2,6},{3,5,7},{4}} => [2,6,5,4,7,1,3] => [[1,2,5],[3,7],[4],[6]] => {{1,2,5},{3,7},{4},{6}} => 3

{{1,2,6},{3,5},{4,7}} => [2,6,5,7,3,1,4] => [[1,2,4],[3,7],[5],[6]] => {{1,2,4},{3,7},{5},{6}} => 3

{{1,2,6},{3,5},{4},{7}} => [2,6,5,4,3,1,7] => [[1,2,7],[3],[4],[5],[6]] => {{1,2,7},{3},{4},{5},{6}} => 1

{{1,2,7},{3,5,6},{4}} => [2,7,5,4,6,3,1] => [[1,2,5],[3],[4],[6],[7]] => {{1,2,5},{3},{4},{6},{7}} => 1

{{1,2},{3,5,6,7},{4}} => [2,1,5,4,6,7,3] => [[1,3,5,6],[2,4],[7]] => {{1,3,5,6},{2,4},{7}} => 3

{{1,2},{3,5,6},{4,7}} => [2,1,5,7,6,3,4] => [[1,3,4],[2,5,7],[6]] => {{1,3,4},{2,5,7},{6}} => 4

{{1,2},{3,5,6},{4},{7}} => [2,1,5,4,6,3,7] => [[1,3,5,7],[2,4],[6]] => {{1,3,5,7},{2,4},{6}} => 3

{{1,2,7},{3,5},{4,6}} => [2,7,5,6,3,4,1] => [[1,2,4],[3,6],[5],[7]] => {{1,2,4},{3,6},{5},{7}} => 3

{{1,2},{3,5,7},{4,6}} => [2,1,5,6,7,4,3] => [[1,3,4,5],[2,6],[7]] => {{1,3,4,5},{2,6},{7}} => 3

{{1,2},{3,5},{4,6,7}} => [2,1,5,6,3,7,4] => [[1,3,4,6],[2,5,7]] => {{1,3,4,6},{2,5,7}} => 3

{{1,2},{3,5},{4,6},{7}} => [2,1,5,6,3,4,7] => [[1,3,4,7],[2,5,6]] => {{1,3,4,7},{2,5,6}} => 3

{{1,2,7},{3,5},{4},{6}} => [2,7,5,4,3,6,1] => [[1,2,6],[3],[4],[5],[7]] => {{1,2,6},{3},{4},{5},{7}} => 1

{{1,2},{3,5,7},{4},{6}} => [2,1,5,4,7,6,3] => [[1,3,5],[2,4,6],[7]] => {{1,3,5},{2,4,6},{7}} => 2

{{1,2},{3,5},{4,7},{6}} => [2,1,5,7,3,6,4] => [[1,3,4],[2,5,6],[7]] => {{1,3,4},{2,5,6},{7}} => 2

{{1,2},{3,5},{4},{6,7}} => [2,1,5,4,3,7,6] => [[1,3,6],[2,4,7],[5]] => {{1,3,6},{2,4,7},{5}} => 4

{{1,2},{3,5},{4},{6},{7}} => [2,1,5,4,3,6,7] => [[1,3,6,7],[2,4],[5]] => {{1,3,6,7},{2,4},{5}} => 3

{{1,2,6,7},{3},{4,5}} => [2,6,3,5,4,7,1] => [[1,2,4,6],[3],[5],[7]] => {{1,2,4,6},{3},{5},{7}} => 2

{{1,2,6},{3,7},{4,5}} => [2,6,7,5,4,1,3] => [[1,2,3],[4,7],[5],[6]] => {{1,2,3},{4,7},{5},{6}} => 2

{{1,2,6},{3},{4,5,7}} => [2,6,3,5,7,1,4] => [[1,2,4,5],[3,7],[6]] => {{1,2,4,5},{3,7},{6}} => 4

{{1,2,6},{3},{4,5},{7}} => [2,6,3,5,4,1,7] => [[1,2,4,7],[3],[5],[6]] => {{1,2,4,7},{3},{5},{6}} => 2

{{1,2,7},{3,6},{4,5}} => [2,7,6,5,4,3,1] => [[1,2],[3],[4],[5],[6],[7]] => {{1,2},{3},{4},{5},{6},{7}} => 0

{{1,2},{3,6,7},{4,5}} => [2,1,6,5,4,7,3] => [[1,3,6],[2,4],[5],[7]] => {{1,3,6},{2,4},{5},{7}} => 2

{{1,2},{3,6},{4,5,7}} => [2,1,6,5,7,3,4] => [[1,3,5],[2,4,7],[6]] => {{1,3,5},{2,4,7},{6}} => 4

{{1,2},{3,6},{4,5},{7}} => [2,1,6,5,4,3,7] => [[1,3,7],[2,4],[5],[6]] => {{1,3,7},{2,4},{5},{6}} => 2

{{1,2,7},{3},{4,5,6}} => [2,7,3,5,6,4,1] => [[1,2,4,5],[3],[6],[7]] => {{1,2,4,5},{3},{6},{7}} => 2

{{1,2},{3,7},{4,5,6}} => [2,1,7,5,6,4,3] => [[1,3,5],[2,4],[6],[7]] => {{1,3,5},{2,4},{6},{7}} => 2

{{1,2},{3},{4,5,6,7}} => [2,1,3,5,6,7,4] => [[1,3,4,5,6],[2,7]] => {{1,3,4,5,6},{2,7}} => 4

{{1,2},{3},{4,5,6},{7}} => [2,1,3,5,6,4,7] => [[1,3,4,5,7],[2,6]] => {{1,3,4,5,7},{2,6}} => 4

{{1,2,7},{3},{4,5},{6}} => [2,7,3,5,4,6,1] => [[1,2,4,6],[3],[5],[7]] => {{1,2,4,6},{3},{5},{7}} => 2

{{1,2},{3,7},{4,5},{6}} => [2,1,7,5,4,6,3] => [[1,3,6],[2,4],[5],[7]] => {{1,3,6},{2,4},{5},{7}} => 2

{{1,2},{3},{4,5,7},{6}} => [2,1,3,5,7,6,4] => [[1,3,4,5],[2,6],[7]] => {{1,3,4,5},{2,6},{7}} => 3

{{1,2},{3},{4,5},{6,7}} => [2,1,3,5,4,7,6] => [[1,3,4,6],[2,5,7]] => {{1,3,4,6},{2,5,7}} => 3

{{1,2},{3},{4,5},{6},{7}} => [2,1,3,5,4,6,7] => [[1,3,4,6,7],[2,5]] => {{1,3,4,6,7},{2,5}} => 4

{{1,2,6,7},{3},{4},{5}} => [2,6,3,4,5,7,1] => [[1,2,4,5,6],[3],[7]] => {{1,2,4,5,6},{3},{7}} => 3

{{1,2,6},{3,7},{4},{5}} => [2,6,7,4,5,1,3] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 0

{{1,2,6},{3},{4,7},{5}} => [2,6,3,7,5,1,4] => [[1,2,4],[3,5],[6,7]] => {{1,2,4},{3,5},{6,7}} => 1

{{1,2,6},{3},{4},{5,7}} => [2,6,3,4,7,1,5] => [[1,2,4,5],[3,7],[6]] => {{1,2,4,5},{3,7},{6}} => 4

{{1,2,6},{3},{4},{5},{7}} => [2,6,3,4,5,1,7] => [[1,2,4,5,7],[3],[6]] => {{1,2,4,5,7},{3},{6}} => 3

{{1,2,7},{3,6},{4},{5}} => [2,7,6,4,5,3,1] => [[1,2,5],[3],[4],[6],[7]] => {{1,2,5},{3},{4},{6},{7}} => 1

{{1,2},{3,6,7},{4},{5}} => [2,1,6,4,5,7,3] => [[1,3,5,6],[2,4],[7]] => {{1,3,5,6},{2,4},{7}} => 3

{{1,2},{3,6},{4,7},{5}} => [2,1,6,7,5,3,4] => [[1,3,4],[2,5,7],[6]] => {{1,3,4},{2,5,7},{6}} => 4

{{1,2},{3,6},{4},{5,7}} => [2,1,6,4,7,3,5] => [[1,3,5],[2,4,7],[6]] => {{1,3,5},{2,4,7},{6}} => 4

{{1,2},{3,6},{4},{5},{7}} => [2,1,6,4,5,3,7] => [[1,3,5,7],[2,4],[6]] => {{1,3,5,7},{2,4},{6}} => 3

{{1,2,7},{3},{4,6},{5}} => [2,7,3,6,5,4,1] => [[1,2,4],[3],[5],[6],[7]] => {{1,2,4},{3},{5},{6},{7}} => 1

{{1,2},{3,7},{4,6},{5}} => [2,1,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7]] => {{1,3},{2,4},{5},{6},{7}} => 1

{{1,2},{3},{4,6,7},{5}} => [2,1,3,6,5,7,4] => [[1,3,4,6],[2,5],[7]] => {{1,3,4,6},{2,5},{7}} => 3

{{1,2},{3},{4,6},{5,7}} => [2,1,3,6,7,4,5] => [[1,3,4,5],[2,6,7]] => {{1,3,4,5},{2,6,7}} => 3

{{1,2},{3},{4,6},{5},{7}} => [2,1,3,6,5,4,7] => [[1,3,4,7],[2,5],[6]] => {{1,3,4,7},{2,5},{6}} => 3

{{1,2,7},{3},{4},{5,6}} => [2,7,3,4,6,5,1] => [[1,2,4,5],[3],[6],[7]] => {{1,2,4,5},{3},{6},{7}} => 2

{{1,2},{3,7},{4},{5,6}} => [2,1,7,4,6,5,3] => [[1,3,5],[2,4],[6],[7]] => {{1,3,5},{2,4},{6},{7}} => 2

{{1,2},{3},{4,7},{5,6}} => [2,1,3,7,6,5,4] => [[1,3,4],[2,5],[6],[7]] => {{1,3,4},{2,5},{6},{7}} => 2

{{1,2},{3},{4},{5,6,7}} => [2,1,3,4,6,7,5] => [[1,3,4,5,6],[2,7]] => {{1,3,4,5,6},{2,7}} => 4

{{1,2},{3},{4},{5,6},{7}} => [2,1,3,4,6,5,7] => [[1,3,4,5,7],[2,6]] => {{1,3,4,5,7},{2,6}} => 4

{{1,2,7},{3},{4},{5},{6}} => [2,7,3,4,5,6,1] => [[1,2,4,5,6],[3],[7]] => {{1,2,4,5,6},{3},{7}} => 3

{{1,2},{3,7},{4},{5},{6}} => [2,1,7,4,5,6,3] => [[1,3,5,6],[2,4],[7]] => {{1,3,5,6},{2,4},{7}} => 3

{{1,2},{3},{4,7},{5},{6}} => [2,1,3,7,5,6,4] => [[1,3,4,6],[2,5],[7]] => {{1,3,4,6},{2,5},{7}} => 3

{{1,2},{3},{4},{5,7},{6}} => [2,1,3,4,7,6,5] => [[1,3,4,5],[2,6],[7]] => {{1,3,4,5},{2,6},{7}} => 3

{{1,2},{3},{4},{5},{6,7}} => [2,1,3,4,5,7,6] => [[1,3,4,5,6],[2,7]] => {{1,3,4,5,6},{2,7}} => 4

{{1,2},{3},{4},{5},{6},{7}} => [2,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2]] => {{1,3,4,5,6,7},{2}} => 5

{{1,3,4,5,6,7},{2}} => [3,2,4,5,6,7,1] => [[1,3,4,5,6],[2],[7]] => {{1,3,4,5,6},{2},{7}} => 4

{{1,3,4,5,6},{2,7}} => [3,7,4,5,6,1,2] => [[1,2,4,5],[3,7],[6]] => {{1,2,4,5},{3,7},{6}} => 4

{{1,3,4,5,6},{2},{7}} => [3,2,4,5,6,1,7] => [[1,3,4,5,7],[2],[6]] => {{1,3,4,5,7},{2},{6}} => 4

{{1,3,4,5,7},{2,6}} => [3,6,4,5,7,2,1] => [[1,2,4,5],[3],[6],[7]] => {{1,2,4,5},{3},{6},{7}} => 2

{{1,3,4,5},{2,6,7}} => [3,6,4,5,1,7,2] => [[1,2,4,6],[3,7],[5]] => {{1,2,4,6},{3,7},{5}} => 4

{{1,3,4,5},{2,6},{7}} => [3,6,4,5,1,2,7] => [[1,2,4,7],[3,6],[5]] => {{1,2,4,7},{3,6},{5}} => 4

{{1,3,4,5,7},{2},{6}} => [3,2,4,5,7,6,1] => [[1,3,4,5],[2,6],[7]] => {{1,3,4,5},{2,6},{7}} => 3

{{1,3,4,5},{2,7},{6}} => [3,7,4,5,1,6,2] => [[1,2,4,6],[3,7],[5]] => {{1,2,4,6},{3,7},{5}} => 4

{{1,3,4,5},{2},{6,7}} => [3,2,4,5,1,7,6] => [[1,3,4,6],[2,7],[5]] => {{1,3,4,6},{2,7},{5}} => 5

{{1,3,4,5},{2},{6},{7}} => [3,2,4,5,1,6,7] => [[1,3,4,6,7],[2],[5]] => {{1,3,4,6,7},{2},{5}} => 4

{{1,3,4,6,7},{2,5}} => [3,5,4,6,2,7,1] => [[1,2,4,6],[3],[5],[7]] => {{1,2,4,6},{3},{5},{7}} => 2

{{1,3,4,6},{2,5,7}} => [3,5,4,6,7,1,2] => [[1,2,4,5],[3,7],[6]] => {{1,2,4,5},{3,7},{6}} => 4

{{1,3,4,6},{2,5},{7}} => [3,5,4,6,2,1,7] => [[1,2,4,7],[3],[5],[6]] => {{1,2,4,7},{3},{5},{6}} => 2

{{1,3,4,7},{2,5,6}} => [3,5,4,7,6,2,1] => [[1,2,4],[3,5],[6],[7]] => {{1,2,4},{3,5},{6},{7}} => 1

{{1,3,4},{2,5,6,7}} => [3,5,4,1,6,7,2] => [[1,2,5,6],[3,7],[4]] => {{1,2,5,6},{3,7},{4}} => 4

{{1,3,4},{2,5,6},{7}} => [3,5,4,1,6,2,7] => [[1,2,5,7],[3,6],[4]] => {{1,2,5,7},{3,6},{4}} => 4

{{1,3,4,7},{2,5},{6}} => [3,5,4,7,2,6,1] => [[1,2,4],[3,6],[5],[7]] => {{1,2,4},{3,6},{5},{7}} => 3

{{1,3,4},{2,5,7},{6}} => [3,5,4,1,7,6,2] => [[1,2,5],[3,6],[4,7]] => {{1,2,5},{3,6},{4,7}} => 3

{{1,3,4},{2,5},{6,7}} => [3,5,4,1,2,7,6] => [[1,2,6],[3,5,7],[4]] => {{1,2,6},{3,5,7},{4}} => 5

{{1,3,4},{2,5},{6},{7}} => [3,5,4,1,2,6,7] => [[1,2,6,7],[3,5],[4]] => {{1,2,6,7},{3,5},{4}} => 4

{{1,3,4,6,7},{2},{5}} => [3,2,4,6,5,7,1] => [[1,3,4,6],[2,5],[7]] => {{1,3,4,6},{2,5},{7}} => 3

{{1,3,4,6},{2,7},{5}} => [3,7,4,6,5,1,2] => [[1,2,4],[3,7],[5],[6]] => {{1,2,4},{3,7},{5},{6}} => 3

{{1,3,4,6},{2},{5,7}} => [3,2,4,6,7,1,5] => [[1,3,4,5],[2,7],[6]] => {{1,3,4,5},{2,7},{6}} => 5

{{1,3,4,6},{2},{5},{7}} => [3,2,4,6,5,1,7] => [[1,3,4,7],[2,5],[6]] => {{1,3,4,7},{2,5},{6}} => 3

{{1,3,4,7},{2,6},{5}} => [3,6,4,7,5,2,1] => [[1,2,4],[3,5],[6],[7]] => {{1,2,4},{3,5},{6},{7}} => 1

{{1,3,4},{2,6,7},{5}} => [3,6,4,1,5,7,2] => [[1,2,5,6],[3,7],[4]] => {{1,2,5,6},{3,7},{4}} => 4

{{1,3,4},{2,6},{5,7}} => [3,6,4,1,7,2,5] => [[1,2,5],[3,6,7],[4]] => {{1,2,5},{3,6,7},{4}} => 5

{{1,3,4},{2,6},{5},{7}} => [3,6,4,1,5,2,7] => [[1,2,5,7],[3,6],[4]] => {{1,2,5,7},{3,6},{4}} => 4

{{1,3,4,7},{2},{5,6}} => [3,2,4,7,6,5,1] => [[1,3,4],[2,5],[6],[7]] => {{1,3,4},{2,5},{6},{7}} => 2

{{1,3,4},{2,7},{5,6}} => [3,7,4,1,6,5,2] => [[1,2,5],[3,6],[4],[7]] => {{1,2,5},{3,6},{4},{7}} => 3

{{1,3,4},{2},{5,6,7}} => [3,2,4,1,6,7,5] => [[1,3,5,6],[2,7],[4]] => {{1,3,5,6},{2,7},{4}} => 5

{{1,3,4},{2},{5,6},{7}} => [3,2,4,1,6,5,7] => [[1,3,5,7],[2,6],[4]] => {{1,3,5,7},{2,6},{4}} => 5

{{1,3,4,7},{2},{5},{6}} => [3,2,4,7,5,6,1] => [[1,3,4,6],[2,5],[7]] => {{1,3,4,6},{2,5},{7}} => 3

{{1,3,4},{2,7},{5},{6}} => [3,7,4,1,5,6,2] => [[1,2,5,6],[3,7],[4]] => {{1,2,5,6},{3,7},{4}} => 4

{{1,3,4},{2},{5,7},{6}} => [3,2,4,1,7,6,5] => [[1,3,5],[2,6],[4,7]] => {{1,3,5},{2,6},{4,7}} => 4

{{1,3,4},{2},{5},{6,7}} => [3,2,4,1,5,7,6] => [[1,3,5,6],[2,7],[4]] => {{1,3,5,6},{2,7},{4}} => 5

{{1,3,4},{2},{5},{6},{7}} => [3,2,4,1,5,6,7] => [[1,3,5,6,7],[2],[4]] => {{1,3,5,6,7},{2},{4}} => 4

{{1,3,5,6,7},{2,4}} => [3,4,5,2,6,7,1] => [[1,2,3,5,6],[4],[7]] => {{1,2,3,5,6},{4},{7}} => 2

{{1,3,5,6},{2,4,7}} => [3,4,5,7,6,1,2] => [[1,2,3,4],[5,7],[6]] => {{1,2,3,4},{5,7},{6}} => 2

{{1,3,5,6},{2,4},{7}} => [3,4,5,2,6,1,7] => [[1,2,3,5,7],[4],[6]] => {{1,2,3,5,7},{4},{6}} => 2

{{1,3,5,7},{2,4,6}} => [3,4,5,6,7,2,1] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0

{{1,3,5},{2,4,6,7}} => [3,4,5,6,1,7,2] => [[1,2,3,4,6],[5,7]] => {{1,2,3,4,6},{5,7}} => 1

{{1,3,5},{2,4,6},{7}} => [3,4,5,6,1,2,7] => [[1,2,3,4,7],[5,6]] => {{1,2,3,4,7},{5,6}} => 1

{{1,3,5,7},{2,4},{6}} => [3,4,5,2,7,6,1] => [[1,2,3,5],[4,6],[7]] => {{1,2,3,5},{4,6},{7}} => 1

{{1,3,5},{2,4,7},{6}} => [3,4,5,7,1,6,2] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 0

{{1,3,5},{2,4},{6,7}} => [3,4,5,2,1,7,6] => [[1,2,3,6],[4,7],[5]] => {{1,2,3,6},{4,7},{5}} => 3

{{1,3,5},{2,4},{6},{7}} => [3,4,5,2,1,6,7] => [[1,2,3,6,7],[4],[5]] => {{1,2,3,6,7},{4},{5}} => 2

{{1,3,6,7},{2,4,5}} => [3,4,6,5,2,7,1] => [[1,2,3,6],[4],[5],[7]] => {{1,2,3,6},{4},{5},{7}} => 1

{{1,3,6},{2,4,5,7}} => [3,4,6,5,7,1,2] => [[1,2,3,5],[4,7],[6]] => {{1,2,3,5},{4,7},{6}} => 3

{{1,3,6},{2,4,5},{7}} => [3,4,6,5,2,1,7] => [[1,2,3,7],[4],[5],[6]] => {{1,2,3,7},{4},{5},{6}} => 1

{{1,3,7},{2,4,5,6}} => [3,4,7,5,6,2,1] => [[1,2,3,5],[4],[6],[7]] => {{1,2,3,5},{4},{6},{7}} => 1

{{1,3},{2,4,5,6,7}} => [3,4,1,5,6,7,2] => [[1,2,4,5,6],[3,7]] => {{1,2,4,5,6},{3,7}} => 3

{{1,3},{2,4,5,6},{7}} => [3,4,1,5,6,2,7] => [[1,2,4,5,7],[3,6]] => {{1,2,4,5,7},{3,6}} => 3

{{1,3,7},{2,4,5},{6}} => [3,4,7,5,2,6,1] => [[1,2,3,6],[4],[5],[7]] => {{1,2,3,6},{4},{5},{7}} => 1

{{1,3},{2,4,5,7},{6}} => [3,4,1,5,7,6,2] => [[1,2,4,5],[3,6],[7]] => {{1,2,4,5},{3,6},{7}} => 2

{{1,3},{2,4,5},{6,7}} => [3,4,1,5,2,7,6] => [[1,2,4,6],[3,5,7]] => {{1,2,4,6},{3,5,7}} => 2

{{1,3},{2,4,5},{6},{7}} => [3,4,1,5,2,6,7] => [[1,2,4,6,7],[3,5]] => {{1,2,4,6,7},{3,5}} => 3

{{1,3,6,7},{2,4},{5}} => [3,4,6,2,5,7,1] => [[1,2,3,6],[4,5],[7]] => {{1,2,3,6},{4,5},{7}} => 1

{{1,3,6},{2,4,7},{5}} => [3,4,6,7,5,1,2] => [[1,2,3,4],[5,7],[6]] => {{1,2,3,4},{5,7},{6}} => 2

{{1,3,6},{2,4},{5,7}} => [3,4,6,2,7,1,5] => [[1,2,3,5],[4,7],[6]] => {{1,2,3,5},{4,7},{6}} => 3

{{1,3,6},{2,4},{5},{7}} => [3,4,6,2,5,1,7] => [[1,2,3,7],[4,5],[6]] => {{1,2,3,7},{4,5},{6}} => 1

{{1,3,7},{2,4,6},{5}} => [3,4,7,6,5,2,1] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 0

{{1,3},{2,4,6,7},{5}} => [3,4,1,6,5,7,2] => [[1,2,4,6],[3,5],[7]] => {{1,2,4,6},{3,5},{7}} => 2

{{1,3},{2,4,6},{5,7}} => [3,4,1,6,7,2,5] => [[1,2,4,5],[3,6,7]] => {{1,2,4,5},{3,6,7}} => 2

{{1,3},{2,4,6},{5},{7}} => [3,4,1,6,5,2,7] => [[1,2,4,7],[3,5],[6]] => {{1,2,4,7},{3,5},{6}} => 2

{{1,3,7},{2,4},{5,6}} => [3,4,7,2,6,5,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 0

{{1,3},{2,4,7},{5,6}} => [3,4,1,7,6,5,2] => [[1,2,4],[3,5],[6],[7]] => {{1,2,4},{3,5},{6},{7}} => 1

{{1,3},{2,4},{5,6,7}} => [3,4,1,2,6,7,5] => [[1,2,5,6],[3,4,7]] => {{1,2,5,6},{3,4,7}} => 2

{{1,3},{2,4},{5,6},{7}} => [3,4,1,2,6,5,7] => [[1,2,5,7],[3,4,6]] => {{1,2,5,7},{3,4,6}} => 2

{{1,3,7},{2,4},{5},{6}} => [3,4,7,2,5,6,1] => [[1,2,3,6],[4,5],[7]] => {{1,2,3,6},{4,5},{7}} => 1

{{1,3},{2,4,7},{5},{6}} => [3,4,1,7,5,6,2] => [[1,2,4,6],[3,5],[7]] => {{1,2,4,6},{3,5},{7}} => 2

{{1,3},{2,4},{5,7},{6}} => [3,4,1,2,7,6,5] => [[1,2,5],[3,4,6],[7]] => {{1,2,5},{3,4,6},{7}} => 1

{{1,3},{2,4},{5},{6,7}} => [3,4,1,2,5,7,6] => [[1,2,5,6],[3,4,7]] => {{1,2,5,6},{3,4,7}} => 2

{{1,3},{2,4},{5},{6},{7}} => [3,4,1,2,5,6,7] => [[1,2,5,6,7],[3,4]] => {{1,2,5,6,7},{3,4}} => 3

{{1,3,5,6,7},{2},{4}} => [3,2,5,4,6,7,1] => [[1,3,5,6],[2,4],[7]] => {{1,3,5,6},{2,4},{7}} => 3

{{1,3,5,6},{2,7},{4}} => [3,7,5,4,6,1,2] => [[1,2,5],[3,7],[4],[6]] => {{1,2,5},{3,7},{4},{6}} => 3

{{1,3,5,6},{2},{4,7}} => [3,2,5,7,6,1,4] => [[1,3,4],[2,5],[6,7]] => {{1,3,4},{2,5},{6,7}} => 2

{{1,3,5,6},{2},{4},{7}} => [3,2,5,4,6,1,7] => [[1,3,5,7],[2,4],[6]] => {{1,3,5,7},{2,4},{6}} => 3

{{1,3,5,7},{2,6},{4}} => [3,6,5,4,7,2,1] => [[1,2,5],[3],[4],[6],[7]] => {{1,2,5},{3},{4},{6},{7}} => 1

{{1,3,5},{2,6,7},{4}} => [3,6,5,4,1,7,2] => [[1,2,6],[3,7],[4],[5]] => {{1,2,6},{3,7},{4},{5}} => 3

{{1,3,5},{2,6},{4,7}} => [3,6,5,7,1,2,4] => [[1,2,4],[3,6,7],[5]] => {{1,2,4},{3,6,7},{5}} => 5

{{1,3,5},{2,6},{4},{7}} => [3,6,5,4,1,2,7] => [[1,2,7],[3,6],[4],[5]] => {{1,2,7},{3,6},{4},{5}} => 3

{{1,3,5,7},{2},{4,6}} => [3,2,5,6,7,4,1] => [[1,3,4,5],[2,6],[7]] => {{1,3,4,5},{2,6},{7}} => 3

{{1,3,5},{2,7},{4,6}} => [3,7,5,6,1,4,2] => [[1,2,4],[3,6],[5],[7]] => {{1,2,4},{3,6},{5},{7}} => 3

{{1,3,5},{2},{4,6,7}} => [3,2,5,6,1,7,4] => [[1,3,4,6],[2,7],[5]] => {{1,3,4,6},{2,7},{5}} => 5

{{1,3,5},{2},{4,6},{7}} => [3,2,5,6,1,4,7] => [[1,3,4,7],[2,6],[5]] => {{1,3,4,7},{2,6},{5}} => 5

{{1,3,5,7},{2},{4},{6}} => [3,2,5,4,7,6,1] => [[1,3,5],[2,4,6],[7]] => {{1,3,5},{2,4,6},{7}} => 2

{{1,3,5},{2,7},{4},{6}} => [3,7,5,4,1,6,2] => [[1,2,6],[3,7],[4],[5]] => {{1,2,6},{3,7},{4},{5}} => 3

{{1,3,5},{2},{4,7},{6}} => [3,2,5,7,1,6,4] => [[1,3,4],[2,6],[5,7]] => {{1,3,4},{2,6},{5,7}} => 4

{{1,3,5},{2},{4},{6,7}} => [3,2,5,4,1,7,6] => [[1,3,6],[2,4,7],[5]] => {{1,3,6},{2,4,7},{5}} => 4

{{1,3,5},{2},{4},{6},{7}} => [3,2,5,4,1,6,7] => [[1,3,6,7],[2,4],[5]] => {{1,3,6,7},{2,4},{5}} => 3

{{1,3,6,7},{2,5},{4}} => [3,5,6,4,2,7,1] => [[1,2,3,6],[4],[5],[7]] => {{1,2,3,6},{4},{5},{7}} => 1

{{1,3,6},{2,5,7},{4}} => [3,5,6,4,7,1,2] => [[1,2,3,5],[4,7],[6]] => {{1,2,3,5},{4,7},{6}} => 3

{{1,3,6},{2,5},{4,7}} => [3,5,6,7,2,1,4] => [[1,2,3,4],[5,7],[6]] => {{1,2,3,4},{5,7},{6}} => 2

{{1,3,6},{2,5},{4},{7}} => [3,5,6,4,2,1,7] => [[1,2,3,7],[4],[5],[6]] => {{1,2,3,7},{4},{5},{6}} => 1

{{1,3,7},{2,5,6},{4}} => [3,5,7,4,6,2,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 0

{{1,3},{2,5,6,7},{4}} => [3,5,1,4,6,7,2] => [[1,2,5,6],[3,4],[7]] => {{1,2,5,6},{3,4},{7}} => 2

{{1,3},{2,5,6},{4,7}} => [3,5,1,7,6,2,4] => [[1,2,4],[3,5,7],[6]] => {{1,2,4},{3,5,7},{6}} => 3

{{1,3},{2,5,6},{4},{7}} => [3,5,1,4,6,2,7] => [[1,2,5,7],[3,4],[6]] => {{1,2,5,7},{3,4},{6}} => 2

{{1,3,7},{2,5},{4,6}} => [3,5,7,6,2,4,1] => [[1,2,3],[4,6],[5],[7]] => {{1,2,3},{4,6},{5},{7}} => 2

{{1,3},{2,5,7},{4,6}} => [3,5,1,6,7,4,2] => [[1,2,4,5],[3,6],[7]] => {{1,2,4,5},{3,6},{7}} => 2

{{1,3},{2,5},{4,6,7}} => [3,5,1,6,2,7,4] => [[1,2,4,6],[3,5,7]] => {{1,2,4,6},{3,5,7}} => 2

{{1,3},{2,5},{4,6},{7}} => [3,5,1,6,2,4,7] => [[1,2,4,7],[3,5,6]] => {{1,2,4,7},{3,5,6}} => 2

{{1,3,7},{2,5},{4},{6}} => [3,5,7,4,2,6,1] => [[1,2,3],[4,6],[5],[7]] => {{1,2,3},{4,6},{5},{7}} => 2

{{1,3},{2,5,7},{4},{6}} => [3,5,1,4,7,6,2] => [[1,2,5],[3,4,6],[7]] => {{1,2,5},{3,4,6},{7}} => 1

{{1,3},{2,5},{4,7},{6}} => [3,5,1,7,2,6,4] => [[1,2,4],[3,5,6],[7]] => {{1,2,4},{3,5,6},{7}} => 1

{{1,3},{2,5},{4},{6,7}} => [3,5,1,4,2,7,6] => [[1,2,6],[3,4,7],[5]] => {{1,2,6},{3,4,7},{5}} => 3

{{1,3},{2,5},{4},{6},{7}} => [3,5,1,4,2,6,7] => [[1,2,6,7],[3,4],[5]] => {{1,2,6,7},{3,4},{5}} => 2

{{1,3,6,7},{2},{4,5}} => [3,2,6,5,4,7,1] => [[1,3,6],[2,4],[5],[7]] => {{1,3,6},{2,4},{5},{7}} => 2

{{1,3,6},{2,7},{4,5}} => [3,7,6,5,4,1,2] => [[1,2],[3,7],[4],[5],[6]] => {{1,2},{3,7},{4},{5},{6}} => 2

{{1,3,6},{2},{4,5,7}} => [3,2,6,5,7,1,4] => [[1,3,5],[2,4],[6,7]] => {{1,3,5},{2,4},{6,7}} => 2

{{1,3,6},{2},{4,5},{7}} => [3,2,6,5,4,1,7] => [[1,3,7],[2,4],[5],[6]] => {{1,3,7},{2,4},{5},{6}} => 2

{{1,3,7},{2,6},{4,5}} => [3,6,7,5,4,2,1] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 0

{{1,3},{2,6,7},{4,5}} => [3,6,1,5,4,7,2] => [[1,2,6],[3,4],[5],[7]] => {{1,2,6},{3,4},{5},{7}} => 1

{{1,3},{2,6},{4,5,7}} => [3,6,1,5,7,2,4] => [[1,2,5],[3,4,7],[6]] => {{1,2,5},{3,4,7},{6}} => 3

{{1,3},{2,6},{4,5},{7}} => [3,6,1,5,4,2,7] => [[1,2,7],[3,4],[5],[6]] => {{1,2,7},{3,4},{5},{6}} => 1

{{1,3,7},{2},{4,5,6}} => [3,2,7,5,6,4,1] => [[1,3,5],[2,4],[6],[7]] => {{1,3,5},{2,4},{6},{7}} => 2

{{1,3},{2,7},{4,5,6}} => [3,7,1,5,6,4,2] => [[1,2,5],[3,4],[6],[7]] => {{1,2,5},{3,4},{6},{7}} => 1

{{1,3},{2},{4,5,6,7}} => [3,2,1,5,6,7,4] => [[1,4,5,6],[2,7],[3]] => {{1,4,5,6},{2,7},{3}} => 5

{{1,3},{2},{4,5,6},{7}} => [3,2,1,5,6,4,7] => [[1,4,5,7],[2,6],[3]] => {{1,4,5,7},{2,6},{3}} => 5

{{1,3,7},{2},{4,5},{6}} => [3,2,7,5,4,6,1] => [[1,3,6],[2,4],[5],[7]] => {{1,3,6},{2,4},{5},{7}} => 2

{{1,3},{2,7},{4,5},{6}} => [3,7,1,5,4,6,2] => [[1,2,6],[3,4],[5],[7]] => {{1,2,6},{3,4},{5},{7}} => 1

{{1,3},{2},{4,5,7},{6}} => [3,2,1,5,7,6,4] => [[1,4,5],[2,6],[3,7]] => {{1,4,5},{2,6},{3,7}} => 4

{{1,3},{2},{4,5},{6,7}} => [3,2,1,5,4,7,6] => [[1,4,6],[2,5,7],[3]] => {{1,4,6},{2,5,7},{3}} => 6

{{1,3},{2},{4,5},{6},{7}} => [3,2,1,5,4,6,7] => [[1,4,6,7],[2,5],[3]] => {{1,4,6,7},{2,5},{3}} => 5

{{1,3,6,7},{2},{4},{5}} => [3,2,6,4,5,7,1] => [[1,3,5,6],[2,4],[7]] => {{1,3,5,6},{2,4},{7}} => 3

{{1,3,6},{2,7},{4},{5}} => [3,7,6,4,5,1,2] => [[1,2,5],[3,7],[4],[6]] => {{1,2,5},{3,7},{4},{6}} => 3

{{1,3,6},{2},{4,7},{5}} => [3,2,6,7,5,1,4] => [[1,3,4],[2,5],[6,7]] => {{1,3,4},{2,5},{6,7}} => 2

{{1,3,6},{2},{4},{5,7}} => [3,2,6,4,7,1,5] => [[1,3,5],[2,4,7],[6]] => {{1,3,5},{2,4,7},{6}} => 4

{{1,3,6},{2},{4},{5},{7}} => [3,2,6,4,5,1,7] => [[1,3,5,7],[2,4],[6]] => {{1,3,5,7},{2,4},{6}} => 3

{{1,3,7},{2,6},{4},{5}} => [3,6,7,4,5,2,1] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 0

{{1,3},{2,6,7},{4},{5}} => [3,6,1,4,5,7,2] => [[1,2,5,6],[3,4],[7]] => {{1,2,5,6},{3,4},{7}} => 2

{{1,3},{2,6},{4,7},{5}} => [3,6,1,7,5,2,4] => [[1,2,4],[3,5,7],[6]] => {{1,2,4},{3,5,7},{6}} => 3

{{1,3},{2,6},{4},{5,7}} => [3,6,1,4,7,2,5] => [[1,2,5],[3,4,7],[6]] => {{1,2,5},{3,4,7},{6}} => 3

{{1,3},{2,6},{4},{5},{7}} => [3,6,1,4,5,2,7] => [[1,2,5,7],[3,4],[6]] => {{1,2,5,7},{3,4},{6}} => 2

{{1,3,7},{2},{4,6},{5}} => [3,2,7,6,5,4,1] => [[1,3],[2,4],[5],[6],[7]] => {{1,3},{2,4},{5},{6},{7}} => 1

{{1,3},{2,7},{4,6},{5}} => [3,7,1,6,5,4,2] => [[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => 0

{{1,3},{2},{4,6,7},{5}} => [3,2,1,6,5,7,4] => [[1,4,6],[2,5],[3,7]] => {{1,4,6},{2,5},{3,7}} => 4

{{1,3},{2},{4,6},{5,7}} => [3,2,1,6,7,4,5] => [[1,4,5],[2,6,7],[3]] => {{1,4,5},{2,6,7},{3}} => 6

{{1,3},{2},{4,6},{5},{7}} => [3,2,1,6,5,4,7] => [[1,4,7],[2,5],[3,6]] => {{1,4,7},{2,5},{3,6}} => 4

{{1,3,7},{2},{4},{5,6}} => [3,2,7,4,6,5,1] => [[1,3,5],[2,4],[6],[7]] => {{1,3,5},{2,4},{6},{7}} => 2

{{1,3},{2,7},{4},{5,6}} => [3,7,1,4,6,5,2] => [[1,2,5],[3,4],[6],[7]] => {{1,2,5},{3,4},{6},{7}} => 1

{{1,3},{2},{4,7},{5,6}} => [3,2,1,7,6,5,4] => [[1,4],[2,5],[3,6],[7]] => {{1,4},{2,5},{3,6},{7}} => 3

{{1,3},{2},{4},{5,6,7}} => [3,2,1,4,6,7,5] => [[1,4,5,6],[2,7],[3]] => {{1,4,5,6},{2,7},{3}} => 5

{{1,3},{2},{4},{5,6},{7}} => [3,2,1,4,6,5,7] => [[1,4,5,7],[2,6],[3]] => {{1,4,5,7},{2,6},{3}} => 5

{{1,3,7},{2},{4},{5},{6}} => [3,2,7,4,5,6,1] => [[1,3,5,6],[2,4],[7]] => {{1,3,5,6},{2,4},{7}} => 3

{{1,3},{2,7},{4},{5},{6}} => [3,7,1,4,5,6,2] => [[1,2,5,6],[3,4],[7]] => {{1,2,5,6},{3,4},{7}} => 2

{{1,3},{2},{4,7},{5},{6}} => [3,2,1,7,5,6,4] => [[1,4,6],[2,5],[3,7]] => {{1,4,6},{2,5},{3,7}} => 4

{{1,3},{2},{4},{5,7},{6}} => [3,2,1,4,7,6,5] => [[1,4,5],[2,6],[3,7]] => {{1,4,5},{2,6},{3,7}} => 4

{{1,3},{2},{4},{5},{6,7}} => [3,2,1,4,5,7,6] => [[1,4,5,6],[2,7],[3]] => {{1,4,5,6},{2,7},{3}} => 5

{{1,3},{2},{4},{5},{6},{7}} => [3,2,1,4,5,6,7] => [[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}} => 4

{{1,4,5,6,7},{2,3}} => [4,3,2,5,6,7,1] => [[1,4,5,6],[2],[3],[7]] => {{1,4,5,6},{2},{3},{7}} => 3

{{1,4,5,6},{2,3,7}} => [4,3,7,5,6,1,2] => [[1,3,5],[2,4],[6,7]] => {{1,3,5},{2,4},{6,7}} => 2

{{1,4,5,6},{2,3},{7}} => [4,3,2,5,6,1,7] => [[1,4,5,7],[2],[3],[6]] => {{1,4,5,7},{2},{3},{6}} => 3

{{1,4,5,7},{2,3,6}} => [4,3,6,5,7,2,1] => [[1,3,5],[2,4],[6],[7]] => {{1,3,5},{2,4},{6},{7}} => 2

{{1,4,5},{2,3,6,7}} => [4,3,6,5,1,7,2] => [[1,3,6],[2,4],[5,7]] => {{1,3,6},{2,4},{5,7}} => 2

{{1,4,5},{2,3,6},{7}} => [4,3,6,5,1,2,7] => [[1,3,7],[2,4],[5,6]] => {{1,3,7},{2,4},{5,6}} => 2

{{1,4,5,7},{2,3},{6}} => [4,3,2,5,7,6,1] => [[1,4,5],[2,6],[3],[7]] => {{1,4,5},{2,6},{3},{7}} => 4

{{1,4,5},{2,3,7},{6}} => [4,3,7,5,1,6,2] => [[1,3,6],[2,4],[5,7]] => {{1,3,6},{2,4},{5,7}} => 2

{{1,4,5},{2,3},{6,7}} => [4,3,2,5,1,7,6] => [[1,4,6],[2,7],[3],[5]] => {{1,4,6},{2,7},{3},{5}} => 4

{{1,4,5},{2,3},{6},{7}} => [4,3,2,5,1,6,7] => [[1,4,6,7],[2],[3],[5]] => {{1,4,6,7},{2},{3},{5}} => 3

{{1,4,6,7},{2,3,5}} => [4,3,5,6,2,7,1] => [[1,3,4,6],[2],[5],[7]] => {{1,3,4,6},{2},{5},{7}} => 3

{{1,4,6},{2,3,5,7}} => [4,3,5,6,7,1,2] => [[1,3,4,5],[2,7],[6]] => {{1,3,4,5},{2,7},{6}} => 5

{{1,4,6},{2,3,5},{7}} => [4,3,5,6,2,1,7] => [[1,3,4,7],[2],[5],[6]] => {{1,3,4,7},{2},{5},{6}} => 3

{{1,4,7},{2,3,5,6}} => [4,3,5,7,6,2,1] => [[1,3,4],[2,5],[6],[7]] => {{1,3,4},{2,5},{6},{7}} => 2

{{1,4},{2,3,5,6,7}} => [4,3,5,1,6,7,2] => [[1,3,5,6],[2,7],[4]] => {{1,3,5,6},{2,7},{4}} => 5

{{1,4},{2,3,5,6},{7}} => [4,3,5,1,6,2,7] => [[1,3,5,7],[2,6],[4]] => {{1,3,5,7},{2,6},{4}} => 5

{{1,4,7},{2,3,5},{6}} => [4,3,5,7,2,6,1] => [[1,3,4],[2,6],[5],[7]] => {{1,3,4},{2,6},{5},{7}} => 4

{{1,4},{2,3,5,7},{6}} => [4,3,5,1,7,6,2] => [[1,3,5],[2,6],[4,7]] => {{1,3,5},{2,6},{4,7}} => 4

{{1,4},{2,3,5},{6,7}} => [4,3,5,1,2,7,6] => [[1,3,6],[2,5,7],[4]] => {{1,3,6},{2,5,7},{4}} => 6

{{1,4},{2,3,5},{6},{7}} => [4,3,5,1,2,6,7] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 5

{{1,4,6,7},{2,3},{5}} => [4,3,2,6,5,7,1] => [[1,4,6],[2,5],[3],[7]] => {{1,4,6},{2,5},{3},{7}} => 4

{{1,4,6},{2,3,7},{5}} => [4,3,7,6,5,1,2] => [[1,3],[2,4],[5,7],[6]] => {{1,3},{2,4},{5,7},{6}} => 4

{{1,4,6},{2,3},{5,7}} => [4,3,2,6,7,1,5] => [[1,4,5],[2,7],[3],[6]] => {{1,4,5},{2,7},{3},{6}} => 4

{{1,4,6},{2,3},{5},{7}} => [4,3,2,6,5,1,7] => [[1,4,7],[2,5],[3],[6]] => {{1,4,7},{2,5},{3},{6}} => 4

{{1,4,7},{2,3,6},{5}} => [4,3,6,7,5,2,1] => [[1,3,4],[2,5],[6],[7]] => {{1,3,4},{2,5},{6},{7}} => 2

{{1,4},{2,3,6,7},{5}} => [4,3,6,1,5,7,2] => [[1,3,6],[2,5],[4,7]] => {{1,3,6},{2,5},{4,7}} => 4

{{1,4},{2,3,6},{5,7}} => [4,3,6,1,7,2,5] => [[1,3,5],[2,6,7],[4]] => {{1,3,5},{2,6,7},{4}} => 6

{{1,4},{2,3,6},{5},{7}} => [4,3,6,1,5,2,7] => [[1,3,7],[2,5],[4,6]] => {{1,3,7},{2,5},{4,6}} => 4

{{1,4,7},{2,3},{5,6}} => [4,3,2,7,6,5,1] => [[1,4],[2,5],[3,6],[7]] => {{1,4},{2,5},{3,6},{7}} => 3

{{1,4},{2,3,7},{5,6}} => [4,3,7,1,6,5,2] => [[1,3],[2,5],[4,6],[7]] => {{1,3},{2,5},{4,6},{7}} => 3

{{1,4},{2,3},{5,6,7}} => [4,3,2,1,6,7,5] => [[1,5,6],[2,7],[3],[4]] => {{1,5,6},{2,7},{3},{4}} => 4

{{1,4},{2,3},{5,6},{7}} => [4,3,2,1,6,5,7] => [[1,5,7],[2,6],[3],[4]] => {{1,5,7},{2,6},{3},{4}} => 4

{{1,4,7},{2,3},{5},{6}} => [4,3,2,7,5,6,1] => [[1,4,6],[2,5],[3],[7]] => {{1,4,6},{2,5},{3},{7}} => 4

{{1,4},{2,3,7},{5},{6}} => [4,3,7,1,5,6,2] => [[1,3,6],[2,5],[4,7]] => {{1,3,6},{2,5},{4,7}} => 4

{{1,4},{2,3},{5,7},{6}} => [4,3,2,1,7,6,5] => [[1,5],[2,6],[3,7],[4]] => {{1,5},{2,6},{3,7},{4}} => 6

{{1,4},{2,3},{5},{6,7}} => [4,3,2,1,5,7,6] => [[1,5,6],[2,7],[3],[4]] => {{1,5,6},{2,7},{3},{4}} => 4

{{1,4},{2,3},{5},{6},{7}} => [4,3,2,1,5,6,7] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => 3

{{1,5,6,7},{2,3,4}} => [5,3,4,2,6,7,1] => [[1,3,5,6],[2],[4],[7]] => {{1,3,5,6},{2},{4},{7}} => 3

{{1,5,6},{2,3,4,7}} => [5,3,4,7,6,1,2] => [[1,3,4],[2,5],[6,7]] => {{1,3,4},{2,5},{6,7}} => 2

{{1,5,6},{2,3,4},{7}} => [5,3,4,2,6,1,7] => [[1,3,5,7],[2],[4],[6]] => {{1,3,5,7},{2},{4},{6}} => 3

{{1,5,7},{2,3,4,6}} => [5,3,4,6,7,2,1] => [[1,3,4,5],[2],[6],[7]] => {{1,3,4,5},{2},{6},{7}} => 3

{{1,5},{2,3,4,6,7}} => [5,3,4,6,1,7,2] => [[1,3,4,6],[2,7],[5]] => {{1,3,4,6},{2,7},{5}} => 5

{{1,5},{2,3,4,6},{7}} => [5,3,4,6,1,2,7] => [[1,3,4,7],[2,6],[5]] => {{1,3,4,7},{2,6},{5}} => 5

{{1,5,7},{2,3,4},{6}} => [5,3,4,2,7,6,1] => [[1,3,5],[2,6],[4],[7]] => {{1,3,5},{2,6},{4},{7}} => 4

{{1,5},{2,3,4,7},{6}} => [5,3,4,7,1,6,2] => [[1,3,4],[2,6],[5,7]] => {{1,3,4},{2,6},{5,7}} => 4

{{1,5},{2,3,4},{6,7}} => [5,3,4,2,1,7,6] => [[1,3,6],[2,7],[4],[5]] => {{1,3,6},{2,7},{4},{5}} => 4

{{1,5},{2,3,4},{6},{7}} => [5,3,4,2,1,6,7] => [[1,3,6,7],[2],[4],[5]] => {{1,3,6,7},{2},{4},{5}} => 3

{{1,6,7},{2,3,4,5}} => [6,3,4,5,2,7,1] => [[1,3,4,6],[2],[5],[7]] => {{1,3,4,6},{2},{5},{7}} => 3

{{1,6},{2,3,4,5,7}} => [6,3,4,5,7,1,2] => [[1,3,4,5],[2,7],[6]] => {{1,3,4,5},{2,7},{6}} => 5

{{1,6},{2,3,4,5},{7}} => [6,3,4,5,2,1,7] => [[1,3,4,7],[2],[5],[6]] => {{1,3,4,7},{2},{5},{6}} => 3

{{1,7},{2,3,4,5,6}} => [7,3,4,5,6,2,1] => [[1,3,4,5],[2],[6],[7]] => {{1,3,4,5},{2},{6},{7}} => 3

{{1},{2,3,4,5,6,7}} => [1,3,4,5,6,7,2] => [[1,2,3,4,5,6],[7]] => {{1,2,3,4,5,6},{7}} => 0

{{1},{2,3,4,5,6},{7}} => [1,3,4,5,6,2,7] => [[1,2,3,4,5,7],[6]] => {{1,2,3,4,5,7},{6}} => 1

{{1,7},{2,3,4,5},{6}} => [7,3,4,5,2,6,1] => [[1,3,4,6],[2],[5],[7]] => {{1,3,4,6},{2},{5},{7}} => 3

{{1},{2,3,4,5,7},{6}} => [1,3,4,5,7,6,2] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0

{{1},{2,3,4,5},{6,7}} => [1,3,4,5,2,7,6] => [[1,2,3,4,6],[5,7]] => {{1,2,3,4,6},{5,7}} => 1

{{1},{2,3,4,5},{6},{7}} => [1,3,4,5,2,6,7] => [[1,2,3,4,6,7],[5]] => {{1,2,3,4,6,7},{5}} => 2

{{1,6,7},{2,3,4},{5}} => [6,3,4,2,5,7,1] => [[1,3,5,6],[2],[4],[7]] => {{1,3,5,6},{2},{4},{7}} => 3

{{1,6},{2,3,4,7},{5}} => [6,3,4,7,5,1,2] => [[1,3,4],[2,5],[6,7]] => {{1,3,4},{2,5},{6,7}} => 2

{{1,6},{2,3,4},{5,7}} => [6,3,4,2,7,1,5] => [[1,3,5],[2,7],[4],[6]] => {{1,3,5},{2,7},{4},{6}} => 4

{{1,6},{2,3,4},{5},{7}} => [6,3,4,2,5,1,7] => [[1,3,5,7],[2],[4],[6]] => {{1,3,5,7},{2},{4},{6}} => 3

{{1,7},{2,3,4,6},{5}} => [7,3,4,6,5,2,1] => [[1,3,4],[2],[5],[6],[7]] => {{1,3,4},{2},{5},{6},{7}} => 2

{{1},{2,3,4,6,7},{5}} => [1,3,4,6,5,7,2] => [[1,2,3,4,6],[5],[7]] => {{1,2,3,4,6},{5},{7}} => 1

{{1},{2,3,4,6},{5,7}} => [1,3,4,6,7,2,5] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 0

{{1},{2,3,4,6},{5},{7}} => [1,3,4,6,5,2,7] => [[1,2,3,4,7],[5],[6]] => {{1,2,3,4,7},{5},{6}} => 1

{{1,7},{2,3,4},{5,6}} => [7,3,4,2,6,5,1] => [[1,3,5],[2,6],[4],[7]] => {{1,3,5},{2,6},{4},{7}} => 4

{{1},{2,3,4,7},{5,6}} => [1,3,4,7,6,5,2] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0

{{1},{2,3,4},{5,6,7}} => [1,3,4,2,6,7,5] => [[1,2,3,5,6],[4,7]] => {{1,2,3,5,6},{4,7}} => 2

{{1},{2,3,4},{5,6},{7}} => [1,3,4,2,6,5,7] => [[1,2,3,5,7],[4,6]] => {{1,2,3,5,7},{4,6}} => 2

{{1,7},{2,3,4},{5},{6}} => [7,3,4,2,5,6,1] => [[1,3,5,6],[2],[4],[7]] => {{1,3,5,6},{2},{4},{7}} => 3

{{1},{2,3,4,7},{5},{6}} => [1,3,4,7,5,6,2] => [[1,2,3,4,6],[5],[7]] => {{1,2,3,4,6},{5},{7}} => 1

{{1},{2,3,4},{5,7},{6}} => [1,3,4,2,7,6,5] => [[1,2,3,5],[4,6],[7]] => {{1,2,3,5},{4,6},{7}} => 1

{{1},{2,3,4},{5},{6,7}} => [1,3,4,2,5,7,6] => [[1,2,3,5,6],[4,7]] => {{1,2,3,5,6},{4,7}} => 2

{{1},{2,3,4},{5},{6},{7}} => [1,3,4,2,5,6,7] => [[1,2,3,5,6,7],[4]] => {{1,2,3,5,6,7},{4}} => 3

{{1,5,6,7},{2,3},{4}} => [5,3,2,4,6,7,1] => [[1,4,5,6],[2],[3],[7]] => {{1,4,5,6},{2},{3},{7}} => 3

{{1,5,6},{2,3,7},{4}} => [5,3,7,4,6,1,2] => [[1,3,5],[2,4],[6,7]] => {{1,3,5},{2,4},{6,7}} => 2

{{1,5,6},{2,3},{4,7}} => [5,3,2,7,6,1,4] => [[1,4],[2,5],[3,7],[6]] => {{1,4},{2,5},{3,7},{6}} => 6

{{1,5,6},{2,3},{4},{7}} => [5,3,2,4,6,1,7] => [[1,4,5,7],[2],[3],[6]] => {{1,4,5,7},{2},{3},{6}} => 3

{{1,5,7},{2,3,6},{4}} => [5,3,6,4,7,2,1] => [[1,3,5],[2,4],[6],[7]] => {{1,3,5},{2,4},{6},{7}} => 2

{{1,5},{2,3,6,7},{4}} => [5,3,6,4,1,7,2] => [[1,3,6],[2,4],[5,7]] => {{1,3,6},{2,4},{5,7}} => 2

{{1,5},{2,3,6},{4,7}} => [5,3,6,7,1,2,4] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 6

{{1,5},{2,3,6},{4},{7}} => [5,3,6,4,1,2,7] => [[1,3,7],[2,4],[5,6]] => {{1,3,7},{2,4},{5,6}} => 2

{{1,5,7},{2,3},{4,6}} => [5,3,2,6,7,4,1] => [[1,4,5],[2,6],[3],[7]] => {{1,4,5},{2,6},{3},{7}} => 4

{{1,5},{2,3,7},{4,6}} => [5,3,7,6,1,4,2] => [[1,3],[2,4],[5,6],[7]] => {{1,3},{2,4},{5,6},{7}} => 1

{{1,5},{2,3},{4,6,7}} => [5,3,2,6,1,7,4] => [[1,4,6],[2,7],[3],[5]] => {{1,4,6},{2,7},{3},{5}} => 4

{{1,5},{2,3},{4,6},{7}} => [5,3,2,6,1,4,7] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 4

{{1,5,7},{2,3},{4},{6}} => [5,3,2,4,7,6,1] => [[1,4,5],[2,6],[3],[7]] => {{1,4,5},{2,6},{3},{7}} => 4

{{1,5},{2,3,7},{4},{6}} => [5,3,7,4,1,6,2] => [[1,3,6],[2,4],[5,7]] => {{1,3,6},{2,4},{5,7}} => 2

{{1,5},{2,3},{4,7},{6}} => [5,3,2,7,1,6,4] => [[1,4],[2,6],[3,7],[5]] => {{1,4},{2,6},{3,7},{5}} => 6

{{1,5},{2,3},{4},{6,7}} => [5,3,2,4,1,7,6] => [[1,4,6],[2,7],[3],[5]] => {{1,4,6},{2,7},{3},{5}} => 4

{{1,5},{2,3},{4},{6},{7}} => [5,3,2,4,1,6,7] => [[1,4,6,7],[2],[3],[5]] => {{1,4,6,7},{2},{3},{5}} => 3

{{1,6,7},{2,3,5},{4}} => [6,3,5,4,2,7,1] => [[1,3,6],[2],[4],[5],[7]] => {{1,3,6},{2},{4},{5},{7}} => 2

{{1,6},{2,3,5,7},{4}} => [6,3,5,4,7,1,2] => [[1,3,5],[2,7],[4],[6]] => {{1,3,5},{2,7},{4},{6}} => 4

{{1,6},{2,3,5},{4,7}} => [6,3,5,7,2,1,4] => [[1,3,4],[2,7],[5],[6]] => {{1,3,4},{2,7},{5},{6}} => 4

{{1,6},{2,3,5},{4},{7}} => [6,3,5,4,2,1,7] => [[1,3,7],[2],[4],[5],[6]] => {{1,3,7},{2},{4},{5},{6}} => 2

{{1,7},{2,3,5,6},{4}} => [7,3,5,4,6,2,1] => [[1,3,5],[2],[4],[6],[7]] => {{1,3,5},{2},{4},{6},{7}} => 2

{{1},{2,3,5,6,7},{4}} => [1,3,5,4,6,7,2] => [[1,2,3,5,6],[4],[7]] => {{1,2,3,5,6},{4},{7}} => 2

{{1},{2,3,5,6},{4,7}} => [1,3,5,7,6,2,4] => [[1,2,3,4],[5,7],[6]] => {{1,2,3,4},{5,7},{6}} => 2

{{1},{2,3,5,6},{4},{7}} => [1,3,5,4,6,2,7] => [[1,2,3,5,7],[4],[6]] => {{1,2,3,5,7},{4},{6}} => 2

{{1,7},{2,3,5},{4,6}} => [7,3,5,6,2,4,1] => [[1,3,4],[2,6],[5],[7]] => {{1,3,4},{2,6},{5},{7}} => 4

{{1},{2,3,5,7},{4,6}} => [1,3,5,6,7,4,2] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0

{{1},{2,3,5},{4,6,7}} => [1,3,5,6,2,7,4] => [[1,2,3,4,6],[5,7]] => {{1,2,3,4,6},{5,7}} => 1

{{1},{2,3,5},{4,6},{7}} => [1,3,5,6,2,4,7] => [[1,2,3,4,7],[5,6]] => {{1,2,3,4,7},{5,6}} => 1

{{1,7},{2,3,5},{4},{6}} => [7,3,5,4,2,6,1] => [[1,3,6],[2],[4],[5],[7]] => {{1,3,6},{2},{4},{5},{7}} => 2

{{1},{2,3,5,7},{4},{6}} => [1,3,5,4,7,6,2] => [[1,2,3,5],[4,6],[7]] => {{1,2,3,5},{4,6},{7}} => 1

{{1},{2,3,5},{4,7},{6}} => [1,3,5,7,2,6,4] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 0

{{1},{2,3,5},{4},{6,7}} => [1,3,5,4,2,7,6] => [[1,2,3,6],[4,7],[5]] => {{1,2,3,6},{4,7},{5}} => 3

{{1},{2,3,5},{4},{6},{7}} => [1,3,5,4,2,6,7] => [[1,2,3,6,7],[4],[5]] => {{1,2,3,6,7},{4},{5}} => 2

{{1,6,7},{2,3},{4,5}} => [6,3,2,5,4,7,1] => [[1,4,6],[2,5],[3],[7]] => {{1,4,6},{2,5},{3},{7}} => 4

{{1,6},{2,3,7},{4,5}} => [6,3,7,5,4,1,2] => [[1,3],[2,4],[5,7],[6]] => {{1,3},{2,4},{5,7},{6}} => 4

{{1,6},{2,3},{4,5,7}} => [6,3,2,5,7,1,4] => [[1,4,5],[2,7],[3],[6]] => {{1,4,5},{2,7},{3},{6}} => 4

{{1,6},{2,3},{4,5},{7}} => [6,3,2,5,4,1,7] => [[1,4,7],[2,5],[3],[6]] => {{1,4,7},{2,5},{3},{6}} => 4

{{1,7},{2,3,6},{4,5}} => [7,3,6,5,4,2,1] => [[1,3],[2],[4],[5],[6],[7]] => {{1,3},{2},{4},{5},{6},{7}} => 1

{{1},{2,3,6,7},{4,5}} => [1,3,6,5,4,7,2] => [[1,2,3,6],[4],[5],[7]] => {{1,2,3,6},{4},{5},{7}} => 1

{{1},{2,3,6},{4,5,7}} => [1,3,6,5,7,2,4] => [[1,2,3,5],[4,7],[6]] => {{1,2,3,5},{4,7},{6}} => 3

{{1},{2,3,6},{4,5},{7}} => [1,3,6,5,4,2,7] => [[1,2,3,7],[4],[5],[6]] => {{1,2,3,7},{4},{5},{6}} => 1

{{1,7},{2,3},{4,5,6}} => [7,3,2,5,6,4,1] => [[1,4,5],[2,6],[3],[7]] => {{1,4,5},{2,6},{3},{7}} => 4

{{1},{2,3,7},{4,5,6}} => [1,3,7,5,6,4,2] => [[1,2,3,5],[4],[6],[7]] => {{1,2,3,5},{4},{6},{7}} => 1

{{1},{2,3},{4,5,6,7}} => [1,3,2,5,6,7,4] => [[1,2,4,5,6],[3,7]] => {{1,2,4,5,6},{3,7}} => 3

{{1},{2,3},{4,5,6},{7}} => [1,3,2,5,6,4,7] => [[1,2,4,5,7],[3,6]] => {{1,2,4,5,7},{3,6}} => 3

{{1,7},{2,3},{4,5},{6}} => [7,3,2,5,4,6,1] => [[1,4,6],[2,5],[3],[7]] => {{1,4,6},{2,5},{3},{7}} => 4

{{1},{2,3,7},{4,5},{6}} => [1,3,7,5,4,6,2] => [[1,2,3,6],[4],[5],[7]] => {{1,2,3,6},{4},{5},{7}} => 1

{{1},{2,3},{4,5,7},{6}} => [1,3,2,5,7,6,4] => [[1,2,4,5],[3,6],[7]] => {{1,2,4,5},{3,6},{7}} => 2

{{1},{2,3},{4,5},{6,7}} => [1,3,2,5,4,7,6] => [[1,2,4,6],[3,5,7]] => {{1,2,4,6},{3,5,7}} => 2

{{1},{2,3},{4,5},{6},{7}} => [1,3,2,5,4,6,7] => [[1,2,4,6,7],[3,5]] => {{1,2,4,6,7},{3,5}} => 3

{{1,6,7},{2,3},{4},{5}} => [6,3,2,4,5,7,1] => [[1,4,5,6],[2],[3],[7]] => {{1,4,5,6},{2},{3},{7}} => 3

{{1,6},{2,3,7},{4},{5}} => [6,3,7,4,5,1,2] => [[1,3,5],[2,4],[6,7]] => {{1,3,5},{2,4},{6,7}} => 2

{{1,6},{2,3},{4,7},{5}} => [6,3,2,7,5,1,4] => [[1,4],[2,5],[3,7],[6]] => {{1,4},{2,5},{3,7},{6}} => 6

{{1,6},{2,3},{4},{5,7}} => [6,3,2,4,7,1,5] => [[1,4,5],[2,7],[3],[6]] => {{1,4,5},{2,7},{3},{6}} => 4

{{1,6},{2,3},{4},{5},{7}} => [6,3,2,4,5,1,7] => [[1,4,5,7],[2],[3],[6]] => {{1,4,5,7},{2},{3},{6}} => 3

{{1,7},{2,3,6},{4},{5}} => [7,3,6,4,5,2,1] => [[1,3,5],[2],[4],[6],[7]] => {{1,3,5},{2},{4},{6},{7}} => 2

{{1},{2,3,6,7},{4},{5}} => [1,3,6,4,5,7,2] => [[1,2,3,5,6],[4],[7]] => {{1,2,3,5,6},{4},{7}} => 2

{{1},{2,3,6},{4,7},{5}} => [1,3,6,7,5,2,4] => [[1,2,3,4],[5,7],[6]] => {{1,2,3,4},{5,7},{6}} => 2

{{1},{2,3,6},{4},{5,7}} => [1,3,6,4,7,2,5] => [[1,2,3,5],[4,7],[6]] => {{1,2,3,5},{4,7},{6}} => 3

{{1},{2,3,6},{4},{5},{7}} => [1,3,6,4,5,2,7] => [[1,2,3,5,7],[4],[6]] => {{1,2,3,5,7},{4},{6}} => 2

{{1,7},{2,3},{4,6},{5}} => [7,3,2,6,5,4,1] => [[1,4],[2,5],[3],[6],[7]] => {{1,4},{2,5},{3},{6},{7}} => 3

{{1},{2,3,7},{4,6},{5}} => [1,3,7,6,5,4,2] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 0

{{1},{2,3},{4,6,7},{5}} => [1,3,2,6,5,7,4] => [[1,2,4,6],[3,5],[7]] => {{1,2,4,6},{3,5},{7}} => 2

{{1},{2,3},{4,6},{5,7}} => [1,3,2,6,7,4,5] => [[1,2,4,5],[3,6,7]] => {{1,2,4,5},{3,6,7}} => 2

{{1},{2,3},{4,6},{5},{7}} => [1,3,2,6,5,4,7] => [[1,2,4,7],[3,5],[6]] => {{1,2,4,7},{3,5},{6}} => 2

{{1,7},{2,3},{4},{5,6}} => [7,3,2,4,6,5,1] => [[1,4,5],[2,6],[3],[7]] => {{1,4,5},{2,6},{3},{7}} => 4

{{1},{2,3,7},{4},{5,6}} => [1,3,7,4,6,5,2] => [[1,2,3,5],[4],[6],[7]] => {{1,2,3,5},{4},{6},{7}} => 1

{{1},{2,3},{4,7},{5,6}} => [1,3,2,7,6,5,4] => [[1,2,4],[3,5],[6],[7]] => {{1,2,4},{3,5},{6},{7}} => 1

{{1},{2,3},{4},{5,6,7}} => [1,3,2,4,6,7,5] => [[1,2,4,5,6],[3,7]] => {{1,2,4,5,6},{3,7}} => 3

{{1},{2,3},{4},{5,6},{7}} => [1,3,2,4,6,5,7] => [[1,2,4,5,7],[3,6]] => {{1,2,4,5,7},{3,6}} => 3

{{1,7},{2,3},{4},{5},{6}} => [7,3,2,4,5,6,1] => [[1,4,5,6],[2],[3],[7]] => {{1,4,5,6},{2},{3},{7}} => 3

{{1},{2,3,7},{4},{5},{6}} => [1,3,7,4,5,6,2] => [[1,2,3,5,6],[4],[7]] => {{1,2,3,5,6},{4},{7}} => 2

{{1},{2,3},{4,7},{5},{6}} => [1,3,2,7,5,6,4] => [[1,2,4,6],[3,5],[7]] => {{1,2,4,6},{3,5},{7}} => 2

{{1},{2,3},{4},{5,7},{6}} => [1,3,2,4,7,6,5] => [[1,2,4,5],[3,6],[7]] => {{1,2,4,5},{3,6},{7}} => 2

{{1},{2,3},{4},{5},{6,7}} => [1,3,2,4,5,7,6] => [[1,2,4,5,6],[3,7]] => {{1,2,4,5,6},{3,7}} => 3

{{1},{2,3},{4},{5},{6},{7}} => [1,3,2,4,5,6,7] => [[1,2,4,5,6,7],[3]] => {{1,2,4,5,6,7},{3}} => 4

{{1,4,5,6,7},{2},{3}} => [4,2,3,5,6,7,1] => [[1,3,4,5,6],[2],[7]] => {{1,3,4,5,6},{2},{7}} => 4

{{1,4,5,6},{2,7},{3}} => [4,7,3,5,6,1,2] => [[1,2,5],[3,4],[6,7]] => {{1,2,5},{3,4},{6,7}} => 1

{{1,4,5,6},{2},{3,7}} => [4,2,7,5,6,1,3] => [[1,3,5],[2,4],[6,7]] => {{1,3,5},{2,4},{6,7}} => 2

{{1,4,5,6},{2},{3},{7}} => [4,2,3,5,6,1,7] => [[1,3,4,5,7],[2],[6]] => {{1,3,4,5,7},{2},{6}} => 4

{{1,4,5,7},{2,6},{3}} => [4,6,3,5,7,2,1] => [[1,2,5],[3,4],[6],[7]] => {{1,2,5},{3,4},{6},{7}} => 1

{{1,4,5},{2,6,7},{3}} => [4,6,3,5,1,7,2] => [[1,2,6],[3,4],[5,7]] => {{1,2,6},{3,4},{5,7}} => 1

{{1,4,5},{2,6},{3,7}} => [4,6,7,5,1,2,3] => [[1,2,3],[4,6,7],[5]] => {{1,2,3},{4,6,7},{5}} => 4

{{1,4,5},{2,6},{3},{7}} => [4,6,3,5,1,2,7] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 1

{{1,4,5,7},{2},{3,6}} => [4,2,6,5,7,3,1] => [[1,3,5],[2,4],[6],[7]] => {{1,3,5},{2,4},{6},{7}} => 2

{{1,4,5},{2,7},{3,6}} => [4,7,6,5,1,3,2] => [[1,2],[3,6],[4],[5],[7]] => {{1,2},{3,6},{4},{5},{7}} => 2

{{1,4,5},{2},{3,6,7}} => [4,2,6,5,1,7,3] => [[1,3,6],[2,4],[5,7]] => {{1,3,6},{2,4},{5,7}} => 2

{{1,4,5},{2},{3,6},{7}} => [4,2,6,5,1,3,7] => [[1,3,7],[2,4],[5,6]] => {{1,3,7},{2,4},{5,6}} => 2

{{1,4,5,7},{2},{3},{6}} => [4,2,3,5,7,6,1] => [[1,3,4,5],[2,6],[7]] => {{1,3,4,5},{2,6},{7}} => 3

{{1,4,5},{2,7},{3},{6}} => [4,7,3,5,1,6,2] => [[1,2,6],[3,4],[5,7]] => {{1,2,6},{3,4},{5,7}} => 1

{{1,4,5},{2},{3,7},{6}} => [4,2,7,5,1,6,3] => [[1,3,6],[2,4],[5,7]] => {{1,3,6},{2,4},{5,7}} => 2

{{1,4,5},{2},{3},{6,7}} => [4,2,3,5,1,7,6] => [[1,3,4,6],[2,7],[5]] => {{1,3,4,6},{2,7},{5}} => 5

{{1,4,5},{2},{3},{6},{7}} => [4,2,3,5,1,6,7] => [[1,3,4,6,7],[2],[5]] => {{1,3,4,6,7},{2},{5}} => 4

{{1,4,6,7},{2,5},{3}} => [4,5,3,6,2,7,1] => [[1,2,4,6],[3],[5],[7]] => {{1,2,4,6},{3},{5},{7}} => 2

{{1,4,6},{2,5,7},{3}} => [4,5,3,6,7,1,2] => [[1,2,4,5],[3,7],[6]] => {{1,2,4,5},{3,7},{6}} => 4

{{1,4,6},{2,5},{3,7}} => [4,5,7,6,2,1,3] => [[1,2,3],[4,7],[5],[6]] => {{1,2,3},{4,7},{5},{6}} => 2

{{1,4,6},{2,5},{3},{7}} => [4,5,3,6,2,1,7] => [[1,2,4,7],[3],[5],[6]] => {{1,2,4,7},{3},{5},{6}} => 2

{{1,4,7},{2,5,6},{3}} => [4,5,3,7,6,2,1] => [[1,2,4],[3,5],[6],[7]] => {{1,2,4},{3,5},{6},{7}} => 1

{{1,4},{2,5,6,7},{3}} => [4,5,3,1,6,7,2] => [[1,2,5,6],[3,7],[4]] => {{1,2,5,6},{3,7},{4}} => 4

{{1,4},{2,5,6},{3,7}} => [4,5,7,1,6,2,3] => [[1,2,3],[4,5,7],[6]] => {{1,2,3},{4,5,7},{6}} => 2

{{1,4},{2,5,6},{3},{7}} => [4,5,3,1,6,2,7] => [[1,2,5,7],[3,6],[4]] => {{1,2,5,7},{3,6},{4}} => 4

{{1,4,7},{2,5},{3,6}} => [4,5,6,7,2,3,1] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 0

{{1,4},{2,5,7},{3,6}} => [4,5,6,1,7,3,2] => [[1,2,3,5],[4,6],[7]] => {{1,2,3,5},{4,6},{7}} => 1

{{1,4},{2,5},{3,6,7}} => [4,5,6,1,2,7,3] => [[1,2,3,6],[4,5,7]] => {{1,2,3,6},{4,5,7}} => 1

{{1,4},{2,5},{3,6},{7}} => [4,5,6,1,2,3,7] => [[1,2,3,7],[4,5,6]] => {{1,2,3,7},{4,5,6}} => 1

{{1,4,7},{2,5},{3},{6}} => [4,5,3,7,2,6,1] => [[1,2,4],[3,6],[5],[7]] => {{1,2,4},{3,6},{5},{7}} => 3

{{1,4},{2,5,7},{3},{6}} => [4,5,3,1,7,6,2] => [[1,2,5],[3,6],[4,7]] => {{1,2,5},{3,6},{4,7}} => 3

{{1,4},{2,5},{3,7},{6}} => [4,5,7,1,2,6,3] => [[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => 0

{{1,4},{2,5},{3},{6,7}} => [4,5,3,1,2,7,6] => [[1,2,6],[3,5,7],[4]] => {{1,2,6},{3,5,7},{4}} => 5

{{1,4},{2,5},{3},{6},{7}} => [4,5,3,1,2,6,7] => [[1,2,6,7],[3,5],[4]] => {{1,2,6,7},{3,5},{4}} => 4

{{1,4,6,7},{2},{3,5}} => [4,2,5,6,3,7,1] => [[1,3,4,6],[2,5],[7]] => {{1,3,4,6},{2,5},{7}} => 3

{{1,4,6},{2,7},{3,5}} => [4,7,5,6,3,1,2] => [[1,2,4],[3,7],[5],[6]] => {{1,2,4},{3,7},{5},{6}} => 3

{{1,4,6},{2},{3,5,7}} => [4,2,5,6,7,1,3] => [[1,3,4,5],[2,7],[6]] => {{1,3,4,5},{2,7},{6}} => 5

{{1,4,6},{2},{3,5},{7}} => [4,2,5,6,3,1,7] => [[1,3,4,7],[2,5],[6]] => {{1,3,4,7},{2,5},{6}} => 3

{{1,4,7},{2,6},{3,5}} => [4,6,5,7,3,2,1] => [[1,2,4],[3],[5],[6],[7]] => {{1,2,4},{3},{5},{6},{7}} => 1

{{1,4},{2,6,7},{3,5}} => [4,6,5,1,3,7,2] => [[1,2,6],[3,5],[4],[7]] => {{1,2,6},{3,5},{4},{7}} => 3

{{1,4},{2,6},{3,5,7}} => [4,6,5,1,7,2,3] => [[1,2,5],[3,6,7],[4]] => {{1,2,5},{3,6,7},{4}} => 5

{{1,4},{2,6},{3,5},{7}} => [4,6,5,1,3,2,7] => [[1,2,7],[3,5],[4],[6]] => {{1,2,7},{3,5},{4},{6}} => 3

{{1,4,7},{2},{3,5,6}} => [4,2,5,7,6,3,1] => [[1,3,4],[2,5],[6],[7]] => {{1,3,4},{2,5},{6},{7}} => 2

{{1,4},{2,7},{3,5,6}} => [4,7,5,1,6,3,2] => [[1,2,5],[3,6],[4],[7]] => {{1,2,5},{3,6},{4},{7}} => 3

{{1,4},{2},{3,5,6,7}} => [4,2,5,1,6,7,3] => [[1,3,5,6],[2,7],[4]] => {{1,3,5,6},{2,7},{4}} => 5

{{1,4},{2},{3,5,6},{7}} => [4,2,5,1,6,3,7] => [[1,3,5,7],[2,6],[4]] => {{1,3,5,7},{2,6},{4}} => 5

{{1,4,7},{2},{3,5},{6}} => [4,2,5,7,3,6,1] => [[1,3,4],[2,5,6],[7]] => {{1,3,4},{2,5,6},{7}} => 2

{{1,4},{2,7},{3,5},{6}} => [4,7,5,1,3,6,2] => [[1,2,6],[3,5],[4],[7]] => {{1,2,6},{3,5},{4},{7}} => 3

{{1,4},{2},{3,5,7},{6}} => [4,2,5,1,7,6,3] => [[1,3,5],[2,6],[4,7]] => {{1,3,5},{2,6},{4,7}} => 4

{{1,4},{2},{3,5},{6,7}} => [4,2,5,1,3,7,6] => [[1,3,6],[2,5,7],[4]] => {{1,3,6},{2,5,7},{4}} => 6

{{1,4},{2},{3,5},{6},{7}} => [4,2,5,1,3,6,7] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 5

{{1,4,6,7},{2},{3},{5}} => [4,2,3,6,5,7,1] => [[1,3,4,6],[2,5],[7]] => {{1,3,4,6},{2,5},{7}} => 3

{{1,4,6},{2,7},{3},{5}} => [4,7,3,6,5,1,2] => [[1,2],[3,4],[5,7],[6]] => {{1,2},{3,4},{5,7},{6}} => 3

{{1,4,6},{2},{3,7},{5}} => [4,2,7,6,5,1,3] => [[1,3],[2,4],[5,7],[6]] => {{1,3},{2,4},{5,7},{6}} => 4

{{1,4,6},{2},{3},{5,7}} => [4,2,3,6,7,1,5] => [[1,3,4,5],[2,7],[6]] => {{1,3,4,5},{2,7},{6}} => 5

{{1,4,6},{2},{3},{5},{7}} => [4,2,3,6,5,1,7] => [[1,3,4,7],[2,5],[6]] => {{1,3,4,7},{2,5},{6}} => 3

{{1,4,7},{2,6},{3},{5}} => [4,6,3,7,5,2,1] => [[1,2,4],[3,5],[6],[7]] => {{1,2,4},{3,5},{6},{7}} => 1

{{1,4},{2,6,7},{3},{5}} => [4,6,3,1,5,7,2] => [[1,2,6],[3,5],[4,7]] => {{1,2,6},{3,5},{4,7}} => 3

{{1,4},{2,6},{3,7},{5}} => [4,6,7,1,5,2,3] => [[1,2,3],[4,5,7],[6]] => {{1,2,3},{4,5,7},{6}} => 2

{{1,4},{2,6},{3},{5,7}} => [4,6,3,1,7,2,5] => [[1,2,5],[3,6,7],[4]] => {{1,2,5},{3,6,7},{4}} => 5

{{1,4},{2,6},{3},{5},{7}} => [4,6,3,1,5,2,7] => [[1,2,7],[3,5],[4,6]] => {{1,2,7},{3,5},{4,6}} => 3

{{1,4,7},{2},{3,6},{5}} => [4,2,6,7,5,3,1] => [[1,3,4],[2,5],[6],[7]] => {{1,3,4},{2,5},{6},{7}} => 2

{{1,4},{2,7},{3,6},{5}} => [4,7,6,1,5,3,2] => [[1,2],[3,5],[4],[6],[7]] => {{1,2},{3,5},{4},{6},{7}} => 2

{{1,4},{2},{3,6,7},{5}} => [4,2,6,1,5,7,3] => [[1,3,6],[2,5],[4,7]] => {{1,3,6},{2,5},{4,7}} => 4

{{1,4},{2},{3,6},{5,7}} => [4,2,6,1,7,3,5] => [[1,3,5],[2,6,7],[4]] => {{1,3,5},{2,6,7},{4}} => 6

{{1,4},{2},{3,6},{5},{7}} => [4,2,6,1,5,3,7] => [[1,3,7],[2,5],[4,6]] => {{1,3,7},{2,5},{4,6}} => 4

{{1,4,7},{2},{3},{5,6}} => [4,2,3,7,6,5,1] => [[1,3,4],[2,5],[6],[7]] => {{1,3,4},{2,5},{6},{7}} => 2

{{1,4},{2,7},{3},{5,6}} => [4,7,3,1,6,5,2] => [[1,2],[3,5],[4,6],[7]] => {{1,2},{3,5},{4,6},{7}} => 2

{{1,4},{2},{3,7},{5,6}} => [4,2,7,1,6,5,3] => [[1,3],[2,5],[4,6],[7]] => {{1,3},{2,5},{4,6},{7}} => 3

{{1,4},{2},{3},{5,6,7}} => [4,2,3,1,6,7,5] => [[1,3,5,6],[2,7],[4]] => {{1,3,5,6},{2,7},{4}} => 5

{{1,4},{2},{3},{5,6},{7}} => [4,2,3,1,6,5,7] => [[1,3,5,7],[2,6],[4]] => {{1,3,5,7},{2,6},{4}} => 5

{{1,4,7},{2},{3},{5},{6}} => [4,2,3,7,5,6,1] => [[1,3,4,6],[2,5],[7]] => {{1,3,4,6},{2,5},{7}} => 3

{{1,4},{2,7},{3},{5},{6}} => [4,7,3,1,5,6,2] => [[1,2,6],[3,5],[4,7]] => {{1,2,6},{3,5},{4,7}} => 3

{{1,4},{2},{3,7},{5},{6}} => [4,2,7,1,5,6,3] => [[1,3,6],[2,5],[4,7]] => {{1,3,6},{2,5},{4,7}} => 4

{{1,4},{2},{3},{5,7},{6}} => [4,2,3,1,7,6,5] => [[1,3,5],[2,6],[4,7]] => {{1,3,5},{2,6},{4,7}} => 4

{{1,4},{2},{3},{5},{6,7}} => [4,2,3,1,5,7,6] => [[1,3,5,6],[2,7],[4]] => {{1,3,5,6},{2,7},{4}} => 5

{{1,4},{2},{3},{5},{6},{7}} => [4,2,3,1,5,6,7] => [[1,3,5,6,7],[2],[4]] => {{1,3,5,6,7},{2},{4}} => 4

{{1,5,6,7},{2,4},{3}} => [5,4,3,2,6,7,1] => [[1,5,6],[2],[3],[4],[7]] => {{1,5,6},{2},{3},{4},{7}} => 2

{{1,5,6},{2,4,7},{3}} => [5,4,3,7,6,1,2] => [[1,4],[2,5],[3,7],[6]] => {{1,4},{2,5},{3,7},{6}} => 6

{{1,5,6},{2,4},{3,7}} => [5,4,7,2,6,1,3] => [[1,3],[2,5],[4,7],[6]] => {{1,3},{2,5},{4,7},{6}} => 6

{{1,5,6},{2,4},{3},{7}} => [5,4,3,2,6,1,7] => [[1,5,7],[2],[3],[4],[6]] => {{1,5,7},{2},{3},{4},{6}} => 2

{{1,5,7},{2,4,6},{3}} => [5,4,3,6,7,2,1] => [[1,4,5],[2],[3],[6],[7]] => {{1,4,5},{2},{3},{6},{7}} => 2

{{1,5},{2,4,6,7},{3}} => [5,4,3,6,1,7,2] => [[1,4,6],[2,7],[3],[5]] => {{1,4,6},{2,7},{3},{5}} => 4

{{1,5},{2,4,6},{3,7}} => [5,4,7,6,1,2,3] => [[1,3,7],[2,4],[5,6]] => {{1,3,7},{2,4},{5,6}} => 2

{{1,5},{2,4,6},{3},{7}} => [5,4,3,6,1,2,7] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 4

{{1,5,7},{2,4},{3,6}} => [5,4,6,2,7,3,1] => [[1,3,5],[2,6],[4],[7]] => {{1,3,5},{2,6},{4},{7}} => 4

{{1,5},{2,4,7},{3,6}} => [5,4,6,7,1,3,2] => [[1,3,4],[2,6],[5],[7]] => {{1,3,4},{2,6},{5},{7}} => 4

{{1,5},{2,4},{3,6,7}} => [5,4,6,2,1,7,3] => [[1,3,6],[2,7],[4],[5]] => {{1,3,6},{2,7},{4},{5}} => 4

{{1,5},{2,4},{3,6},{7}} => [5,4,6,2,1,3,7] => [[1,3,7],[2,6],[4],[5]] => {{1,3,7},{2,6},{4},{5}} => 4

{{1,5,7},{2,4},{3},{6}} => [5,4,3,2,7,6,1] => [[1,5],[2,6],[3],[4],[7]] => {{1,5},{2,6},{3},{4},{7}} => 3

{{1,5},{2,4,7},{3},{6}} => [5,4,3,7,1,6,2] => [[1,4],[2,6],[3,7],[5]] => {{1,4},{2,6},{3,7},{5}} => 6

{{1,5},{2,4},{3,7},{6}} => [5,4,7,2,1,6,3] => [[1,3],[2,6],[4,7],[5]] => {{1,3},{2,6},{4,7},{5}} => 6

{{1,5},{2,4},{3},{6,7}} => [5,4,3,2,1,7,6] => [[1,6],[2,7],[3],[4],[5]] => {{1,6},{2,7},{3},{4},{5}} => 3

{{1,5},{2,4},{3},{6},{7}} => [5,4,3,2,1,6,7] => [[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}} => 2

{{1,6,7},{2,4,5},{3}} => [6,4,3,5,2,7,1] => [[1,4,6],[2],[3],[5],[7]] => {{1,4,6},{2},{3},{5},{7}} => 2

{{1,6},{2,4,5,7},{3}} => [6,4,3,5,7,1,2] => [[1,4,5],[2,7],[3],[6]] => {{1,4,5},{2,7},{3},{6}} => 4

{{1,6},{2,4,5},{3,7}} => [6,4,7,5,2,1,3] => [[1,3],[2,4],[5,7],[6]] => {{1,3},{2,4},{5,7},{6}} => 4

{{1,6},{2,4,5},{3},{7}} => [6,4,3,5,2,1,7] => [[1,4,7],[2],[3],[5],[6]] => {{1,4,7},{2},{3},{5},{6}} => 2

{{1,7},{2,4,5,6},{3}} => [7,4,3,5,6,2,1] => [[1,4,5],[2],[3],[6],[7]] => {{1,4,5},{2},{3},{6},{7}} => 2

{{1},{2,4,5,6,7},{3}} => [1,4,3,5,6,7,2] => [[1,2,4,5,6],[3],[7]] => {{1,2,4,5,6},{3},{7}} => 3

{{1},{2,4,5,6},{3,7}} => [1,4,7,5,6,2,3] => [[1,2,3,5],[4,7],[6]] => {{1,2,3,5},{4,7},{6}} => 3

{{1},{2,4,5,6},{3},{7}} => [1,4,3,5,6,2,7] => [[1,2,4,5,7],[3],[6]] => {{1,2,4,5,7},{3},{6}} => 3

{{1,7},{2,4,5},{3,6}} => [7,4,6,5,2,3,1] => [[1,3],[2,6],[4],[5],[7]] => {{1,3},{2,6},{4},{5},{7}} => 3

{{1},{2,4,5,7},{3,6}} => [1,4,6,5,7,3,2] => [[1,2,3,5],[4],[6],[7]] => {{1,2,3,5},{4},{6},{7}} => 1

{{1},{2,4,5},{3,6,7}} => [1,4,6,5,2,7,3] => [[1,2,3,6],[4,7],[5]] => {{1,2,3,6},{4,7},{5}} => 3

{{1},{2,4,5},{3,6},{7}} => [1,4,6,5,2,3,7] => [[1,2,3,7],[4,6],[5]] => {{1,2,3,7},{4,6},{5}} => 3

{{1,7},{2,4,5},{3},{6}} => [7,4,3,5,2,6,1] => [[1,4,6],[2],[3],[5],[7]] => {{1,4,6},{2},{3},{5},{7}} => 2

{{1},{2,4,5,7},{3},{6}} => [1,4,3,5,7,6,2] => [[1,2,4,5],[3,6],[7]] => {{1,2,4,5},{3,6},{7}} => 2

{{1},{2,4,5},{3,7},{6}} => [1,4,7,5,2,6,3] => [[1,2,3,6],[4,7],[5]] => {{1,2,3,6},{4,7},{5}} => 3

{{1},{2,4,5},{3},{6,7}} => [1,4,3,5,2,7,6] => [[1,2,4,6],[3,7],[5]] => {{1,2,4,6},{3,7},{5}} => 4

{{1},{2,4,5},{3},{6},{7}} => [1,4,3,5,2,6,7] => [[1,2,4,6,7],[3],[5]] => {{1,2,4,6,7},{3},{5}} => 3

{{1,6,7},{2,4},{3,5}} => [6,4,5,2,3,7,1] => [[1,3,6],[2,5],[4],[7]] => {{1,3,6},{2,5},{4},{7}} => 4

{{1,6},{2,4,7},{3,5}} => [6,4,5,7,3,1,2] => [[1,3,4],[2,7],[5],[6]] => {{1,3,4},{2,7},{5},{6}} => 4

{{1,6},{2,4},{3,5,7}} => [6,4,5,2,7,1,3] => [[1,3,5],[2,7],[4],[6]] => {{1,3,5},{2,7},{4},{6}} => 4

{{1,6},{2,4},{3,5},{7}} => [6,4,5,2,3,1,7] => [[1,3,7],[2,5],[4],[6]] => {{1,3,7},{2,5},{4},{6}} => 4

{{1,7},{2,4,6},{3,5}} => [7,4,5,6,3,2,1] => [[1,3,4],[2],[5],[6],[7]] => {{1,3,4},{2},{5},{6},{7}} => 2

{{1},{2,4,6,7},{3,5}} => [1,4,5,6,3,7,2] => [[1,2,3,4,6],[5],[7]] => {{1,2,3,4,6},{5},{7}} => 1

{{1},{2,4,6},{3,5,7}} => [1,4,5,6,7,2,3] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 0

{{1},{2,4,6},{3,5},{7}} => [1,4,5,6,3,2,7] => [[1,2,3,4,7],[5],[6]] => {{1,2,3,4,7},{5},{6}} => 1

{{1,7},{2,4},{3,5,6}} => [7,4,5,2,6,3,1] => [[1,3,5],[2,6],[4],[7]] => {{1,3,5},{2,6},{4},{7}} => 4

{{1},{2,4,7},{3,5,6}} => [1,4,5,7,6,3,2] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0

{{1},{2,4},{3,5,6,7}} => [1,4,5,2,6,7,3] => [[1,2,3,5,6],[4,7]] => {{1,2,3,5,6},{4,7}} => 2

{{1},{2,4},{3,5,6},{7}} => [1,4,5,2,6,3,7] => [[1,2,3,5,7],[4,6]] => {{1,2,3,5,7},{4,6}} => 2

{{1,7},{2,4},{3,5},{6}} => [7,4,5,2,3,6,1] => [[1,3,6],[2,5],[4],[7]] => {{1,3,6},{2,5},{4},{7}} => 4

{{1},{2,4,7},{3,5},{6}} => [1,4,5,7,3,6,2] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 0

{{1},{2,4},{3,5,7},{6}} => [1,4,5,2,7,6,3] => [[1,2,3,5],[4,6],[7]] => {{1,2,3,5},{4,6},{7}} => 1

{{1},{2,4},{3,5},{6,7}} => [1,4,5,2,3,7,6] => [[1,2,3,6],[4,5,7]] => {{1,2,3,6},{4,5,7}} => 1

{{1},{2,4},{3,5},{6},{7}} => [1,4,5,2,3,6,7] => [[1,2,3,6,7],[4,5]] => {{1,2,3,6,7},{4,5}} => 2

{{1,6,7},{2,4},{3},{5}} => [6,4,3,2,5,7,1] => [[1,5,6],[2],[3],[4],[7]] => {{1,5,6},{2},{3},{4},{7}} => 2

{{1,6},{2,4,7},{3},{5}} => [6,4,3,7,5,1,2] => [[1,4],[2,5],[3,7],[6]] => {{1,4},{2,5},{3,7},{6}} => 6

{{1,6},{2,4},{3,7},{5}} => [6,4,7,2,5,1,3] => [[1,3],[2,5],[4,7],[6]] => {{1,3},{2,5},{4,7},{6}} => 6

{{1,6},{2,4},{3},{5,7}} => [6,4,3,2,7,1,5] => [[1,5],[2,7],[3],[4],[6]] => {{1,5},{2,7},{3},{4},{6}} => 3

{{1,6},{2,4},{3},{5},{7}} => [6,4,3,2,5,1,7] => [[1,5,7],[2],[3],[4],[6]] => {{1,5,7},{2},{3},{4},{6}} => 2

{{1,7},{2,4,6},{3},{5}} => [7,4,3,6,5,2,1] => [[1,4],[2,5],[3],[6],[7]] => {{1,4},{2,5},{3},{6},{7}} => 3

{{1},{2,4,6,7},{3},{5}} => [1,4,3,6,5,7,2] => [[1,2,4,6],[3,5],[7]] => {{1,2,4,6},{3,5},{7}} => 2

{{1},{2,4,6},{3,7},{5}} => [1,4,7,6,5,2,3] => [[1,2,3],[4,7],[5],[6]] => {{1,2,3},{4,7},{5},{6}} => 2

{{1},{2,4,6},{3},{5,7}} => [1,4,3,6,7,2,5] => [[1,2,4,5],[3,7],[6]] => {{1,2,4,5},{3,7},{6}} => 4

{{1},{2,4,6},{3},{5},{7}} => [1,4,3,6,5,2,7] => [[1,2,4,7],[3,5],[6]] => {{1,2,4,7},{3,5},{6}} => 2

{{1,7},{2,4},{3,6},{5}} => [7,4,6,2,5,3,1] => [[1,3],[2,5],[4],[6],[7]] => {{1,3},{2,5},{4},{6},{7}} => 3

{{1},{2,4,7},{3,6},{5}} => [1,4,6,7,5,3,2] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0

{{1},{2,4},{3,6,7},{5}} => [1,4,6,2,5,7,3] => [[1,2,3,6],[4,5],[7]] => {{1,2,3,6},{4,5},{7}} => 1

{{1},{2,4},{3,6},{5,7}} => [1,4,6,2,7,3,5] => [[1,2,3,5],[4,6,7]] => {{1,2,3,5},{4,6,7}} => 1

{{1},{2,4},{3,6},{5},{7}} => [1,4,6,2,5,3,7] => [[1,2,3,7],[4,5],[6]] => {{1,2,3,7},{4,5},{6}} => 1

{{1,7},{2,4},{3},{5,6}} => [7,4,3,2,6,5,1] => [[1,5],[2,6],[3],[4],[7]] => {{1,5},{2,6},{3},{4},{7}} => 3

{{1},{2,4,7},{3},{5,6}} => [1,4,3,7,6,5,2] => [[1,2,4],[3,5],[6],[7]] => {{1,2,4},{3,5},{6},{7}} => 1

{{1},{2,4},{3,7},{5,6}} => [1,4,7,2,6,5,3] => [[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => 0

{{1},{2,4},{3},{5,6,7}} => [1,4,3,2,6,7,5] => [[1,2,5,6],[3,7],[4]] => {{1,2,5,6},{3,7},{4}} => 4

{{1},{2,4},{3},{5,6},{7}} => [1,4,3,2,6,5,7] => [[1,2,5,7],[3,6],[4]] => {{1,2,5,7},{3,6},{4}} => 4

{{1,7},{2,4},{3},{5},{6}} => [7,4,3,2,5,6,1] => [[1,5,6],[2],[3],[4],[7]] => {{1,5,6},{2},{3},{4},{7}} => 2

{{1},{2,4,7},{3},{5},{6}} => [1,4,3,7,5,6,2] => [[1,2,4,6],[3,5],[7]] => {{1,2,4,6},{3,5},{7}} => 2

{{1},{2,4},{3,7},{5},{6}} => [1,4,7,2,5,6,3] => [[1,2,3,6],[4,5],[7]] => {{1,2,3,6},{4,5},{7}} => 1

{{1},{2,4},{3},{5,7},{6}} => [1,4,3,2,7,6,5] => [[1,2,5],[3,6],[4,7]] => {{1,2,5},{3,6},{4,7}} => 3

{{1},{2,4},{3},{5},{6,7}} => [1,4,3,2,5,7,6] => [[1,2,5,6],[3,7],[4]] => {{1,2,5,6},{3,7},{4}} => 4

{{1},{2,4},{3},{5},{6},{7}} => [1,4,3,2,5,6,7] => [[1,2,5,6,7],[3],[4]] => {{1,2,5,6,7},{3},{4}} => 3

{{1,5,6,7},{2},{3,4}} => [5,2,4,3,6,7,1] => [[1,3,5,6],[2],[4],[7]] => {{1,3,5,6},{2},{4},{7}} => 3

{{1,5,6},{2,7},{3,4}} => [5,7,4,3,6,1,2] => [[1,2],[3,5],[4,7],[6]] => {{1,2},{3,5},{4,7},{6}} => 5

{{1,5,6},{2},{3,4,7}} => [5,2,4,7,6,1,3] => [[1,3,4],[2,5],[6,7]] => {{1,3,4},{2,5},{6,7}} => 2

{{1,5,6},{2},{3,4},{7}} => [5,2,4,3,6,1,7] => [[1,3,5,7],[2],[4],[6]] => {{1,3,5,7},{2},{4},{6}} => 3

{{1,5,7},{2,6},{3,4}} => [5,6,4,3,7,2,1] => [[1,2,5],[3],[4],[6],[7]] => {{1,2,5},{3},{4},{6},{7}} => 1

{{1,5},{2,6,7},{3,4}} => [5,6,4,3,1,7,2] => [[1,2,6],[3,7],[4],[5]] => {{1,2,6},{3,7},{4},{5}} => 3

{{1,5},{2,6},{3,4,7}} => [5,6,4,7,1,2,3] => [[1,2,4],[3,6,7],[5]] => {{1,2,4},{3,6,7},{5}} => 5

{{1,5},{2,6},{3,4},{7}} => [5,6,4,3,1,2,7] => [[1,2,7],[3,6],[4],[5]] => {{1,2,7},{3,6},{4},{5}} => 3

{{1,5,7},{2},{3,4,6}} => [5,2,4,6,7,3,1] => [[1,3,4,5],[2],[6],[7]] => {{1,3,4,5},{2},{6},{7}} => 3

{{1,5},{2,7},{3,4,6}} => [5,7,4,6,1,3,2] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 0

{{1,5},{2},{3,4,6,7}} => [5,2,4,6,1,7,3] => [[1,3,4,6],[2,7],[5]] => {{1,3,4,6},{2,7},{5}} => 5

{{1,5},{2},{3,4,6},{7}} => [5,2,4,6,1,3,7] => [[1,3,4,7],[2,6],[5]] => {{1,3,4,7},{2,6},{5}} => 5

{{1,5,7},{2},{3,4},{6}} => [5,2,4,3,7,6,1] => [[1,3,5],[2,6],[4],[7]] => {{1,3,5},{2,6},{4},{7}} => 4

{{1,5},{2,7},{3,4},{6}} => [5,7,4,3,1,6,2] => [[1,2],[3,6],[4,7],[5]] => {{1,2},{3,6},{4,7},{5}} => 5

{{1,5},{2},{3,4,7},{6}} => [5,2,4,7,1,6,3] => [[1,3,4],[2,6],[5,7]] => {{1,3,4},{2,6},{5,7}} => 4

{{1,5},{2},{3,4},{6,7}} => [5,2,4,3,1,7,6] => [[1,3,6],[2,7],[4],[5]] => {{1,3,6},{2,7},{4},{5}} => 4

{{1,5},{2},{3,4},{6},{7}} => [5,2,4,3,1,6,7] => [[1,3,6,7],[2],[4],[5]] => {{1,3,6,7},{2},{4},{5}} => 3

{{1,6,7},{2,5},{3,4}} => [6,5,4,3,2,7,1] => [[1,6],[2],[3],[4],[5],[7]] => {{1,6},{2},{3},{4},{5},{7}} => 1

{{1,6},{2,5,7},{3,4}} => [6,5,4,3,7,1,2] => [[1,5],[2,7],[3],[4],[6]] => {{1,5},{2,7},{3},{4},{6}} => 3

{{1,6},{2,5},{3,4,7}} => [6,5,4,7,2,1,3] => [[1,4],[2,7],[3],[5],[6]] => {{1,4},{2,7},{3},{5},{6}} => 3

{{1,6},{2,5},{3,4},{7}} => [6,5,4,3,2,1,7] => [[1,7],[2],[3],[4],[5],[6]] => {{1,7},{2},{3},{4},{5},{6}} => 1

{{1,7},{2,5,6},{3,4}} => [7,5,4,3,6,2,1] => [[1,5],[2],[3],[4],[6],[7]] => {{1,5},{2},{3},{4},{6},{7}} => 1

{{1},{2,5,6,7},{3,4}} => [1,5,4,3,6,7,2] => [[1,2,5,6],[3],[4],[7]] => {{1,2,5,6},{3},{4},{7}} => 2

{{1},{2,5,6},{3,4,7}} => [1,5,4,7,6,2,3] => [[1,2,4],[3,5],[6,7]] => {{1,2,4},{3,5},{6,7}} => 1

{{1},{2,5,6},{3,4},{7}} => [1,5,4,3,6,2,7] => [[1,2,5,7],[3],[4],[6]] => {{1,2,5,7},{3},{4},{6}} => 2

{{1,7},{2,5},{3,4,6}} => [7,5,4,6,2,3,1] => [[1,4],[2,6],[3],[5],[7]] => {{1,4},{2,6},{3},{5},{7}} => 3

{{1},{2,5,7},{3,4,6}} => [1,5,4,6,7,3,2] => [[1,2,4,5],[3],[6],[7]] => {{1,2,4,5},{3},{6},{7}} => 2

{{1},{2,5},{3,4,6,7}} => [1,5,4,6,2,7,3] => [[1,2,4,6],[3,7],[5]] => {{1,2,4,6},{3,7},{5}} => 4

{{1},{2,5},{3,4,6},{7}} => [1,5,4,6,2,3,7] => [[1,2,4,7],[3,6],[5]] => {{1,2,4,7},{3,6},{5}} => 4

{{1,7},{2,5},{3,4},{6}} => [7,5,4,3,2,6,1] => [[1,6],[2],[3],[4],[5],[7]] => {{1,6},{2},{3},{4},{5},{7}} => 1

{{1},{2,5,7},{3,4},{6}} => [1,5,4,3,7,6,2] => [[1,2,5],[3,6],[4],[7]] => {{1,2,5},{3,6},{4},{7}} => 3

{{1},{2,5},{3,4,7},{6}} => [1,5,4,7,2,6,3] => [[1,2,4],[3,6],[5,7]] => {{1,2,4},{3,6},{5,7}} => 3

{{1},{2,5},{3,4},{6,7}} => [1,5,4,3,2,7,6] => [[1,2,6],[3,7],[4],[5]] => {{1,2,6},{3,7},{4},{5}} => 3

{{1},{2,5},{3,4},{6},{7}} => [1,5,4,3,2,6,7] => [[1,2,6,7],[3],[4],[5]] => {{1,2,6,7},{3},{4},{5}} => 2

{{1,6,7},{2},{3,4,5}} => [6,2,4,5,3,7,1] => [[1,3,4,6],[2],[5],[7]] => {{1,3,4,6},{2},{5},{7}} => 3

{{1,6},{2,7},{3,4,5}} => [6,7,4,5,3,1,2] => [[1,2],[3,4],[5,7],[6]] => {{1,2},{3,4},{5,7},{6}} => 3

{{1,6},{2},{3,4,5,7}} => [6,2,4,5,7,1,3] => [[1,3,4,5],[2,7],[6]] => {{1,3,4,5},{2,7},{6}} => 5

{{1,6},{2},{3,4,5},{7}} => [6,2,4,5,3,1,7] => [[1,3,4,7],[2],[5],[6]] => {{1,3,4,7},{2},{5},{6}} => 3

{{1,7},{2,6},{3,4,5}} => [7,6,4,5,3,2,1] => [[1,4],[2],[3],[5],[6],[7]] => {{1,4},{2},{3},{5},{6},{7}} => 1

{{1},{2,6,7},{3,4,5}} => [1,6,4,5,3,7,2] => [[1,2,4,6],[3],[5],[7]] => {{1,2,4,6},{3},{5},{7}} => 2

{{1},{2,6},{3,4,5,7}} => [1,6,4,5,7,2,3] => [[1,2,4,5],[3,7],[6]] => {{1,2,4,5},{3,7},{6}} => 4

{{1},{2,6},{3,4,5},{7}} => [1,6,4,5,3,2,7] => [[1,2,4,7],[3],[5],[6]] => {{1,2,4,7},{3},{5},{6}} => 2

{{1,7},{2},{3,4,5,6}} => [7,2,4,5,6,3,1] => [[1,3,4,5],[2],[6],[7]] => {{1,3,4,5},{2},{6},{7}} => 3

{{1},{2,7},{3,4,5,6}} => [1,7,4,5,6,3,2] => [[1,2,4,5],[3],[6],[7]] => {{1,2,4,5},{3},{6},{7}} => 2

{{1},{2},{3,4,5,6,7}} => [1,2,4,5,6,7,3] => [[1,2,3,4,5,6],[7]] => {{1,2,3,4,5,6},{7}} => 0

{{1},{2},{3,4,5,6},{7}} => [1,2,4,5,6,3,7] => [[1,2,3,4,5,7],[6]] => {{1,2,3,4,5,7},{6}} => 1

{{1,7},{2},{3,4,5},{6}} => [7,2,4,5,3,6,1] => [[1,3,4,6],[2],[5],[7]] => {{1,3,4,6},{2},{5},{7}} => 3

{{1},{2,7},{3,4,5},{6}} => [1,7,4,5,3,6,2] => [[1,2,4,6],[3],[5],[7]] => {{1,2,4,6},{3},{5},{7}} => 2

{{1},{2},{3,4,5,7},{6}} => [1,2,4,5,7,6,3] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0

{{1},{2},{3,4,5},{6,7}} => [1,2,4,5,3,7,6] => [[1,2,3,4,6],[5,7]] => {{1,2,3,4,6},{5,7}} => 1

{{1},{2},{3,4,5},{6},{7}} => [1,2,4,5,3,6,7] => [[1,2,3,4,6,7],[5]] => {{1,2,3,4,6,7},{5}} => 2

{{1,6,7},{2},{3,4},{5}} => [6,2,4,3,5,7,1] => [[1,3,5,6],[2],[4],[7]] => {{1,3,5,6},{2},{4},{7}} => 3

{{1,6},{2,7},{3,4},{5}} => [6,7,4,3,5,1,2] => [[1,2],[3,5],[4,7],[6]] => {{1,2},{3,5},{4,7},{6}} => 5

{{1,6},{2},{3,4,7},{5}} => [6,2,4,7,5,1,3] => [[1,3,4],[2,5],[6,7]] => {{1,3,4},{2,5},{6,7}} => 2

{{1,6},{2},{3,4},{5,7}} => [6,2,4,3,7,1,5] => [[1,3,5],[2,7],[4],[6]] => {{1,3,5},{2,7},{4},{6}} => 4

{{1,6},{2},{3,4},{5},{7}} => [6,2,4,3,5,1,7] => [[1,3,5,7],[2],[4],[6]] => {{1,3,5,7},{2},{4},{6}} => 3

{{1,7},{2,6},{3,4},{5}} => [7,6,4,3,5,2,1] => [[1,5],[2],[3],[4],[6],[7]] => {{1,5},{2},{3},{4},{6},{7}} => 1

{{1},{2,6,7},{3,4},{5}} => [1,6,4,3,5,7,2] => [[1,2,5,6],[3],[4],[7]] => {{1,2,5,6},{3},{4},{7}} => 2

{{1},{2,6},{3,4,7},{5}} => [1,6,4,7,5,2,3] => [[1,2,4],[3,5],[6,7]] => {{1,2,4},{3,5},{6,7}} => 1

{{1},{2,6},{3,4},{5,7}} => [1,6,4,3,7,2,5] => [[1,2,5],[3,7],[4],[6]] => {{1,2,5},{3,7},{4},{6}} => 3

{{1},{2,6},{3,4},{5},{7}} => [1,6,4,3,5,2,7] => [[1,2,5,7],[3],[4],[6]] => {{1,2,5,7},{3},{4},{6}} => 2

{{1,7},{2},{3,4,6},{5}} => [7,2,4,6,5,3,1] => [[1,3,4],[2],[5],[6],[7]] => {{1,3,4},{2},{5},{6},{7}} => 2

{{1},{2,7},{3,4,6},{5}} => [1,7,4,6,5,3,2] => [[1,2,4],[3],[5],[6],[7]] => {{1,2,4},{3},{5},{6},{7}} => 1

{{1},{2},{3,4,6,7},{5}} => [1,2,4,6,5,7,3] => [[1,2,3,4,6],[5],[7]] => {{1,2,3,4,6},{5},{7}} => 1

{{1},{2},{3,4,6},{5,7}} => [1,2,4,6,7,3,5] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 0

{{1},{2},{3,4,6},{5},{7}} => [1,2,4,6,5,3,7] => [[1,2,3,4,7],[5],[6]] => {{1,2,3,4,7},{5},{6}} => 1

{{1,7},{2},{3,4},{5,6}} => [7,2,4,3,6,5,1] => [[1,3,5],[2,6],[4],[7]] => {{1,3,5},{2,6},{4},{7}} => 4

{{1},{2,7},{3,4},{5,6}} => [1,7,4,3,6,5,2] => [[1,2,5],[3,6],[4],[7]] => {{1,2,5},{3,6},{4},{7}} => 3

{{1},{2},{3,4,7},{5,6}} => [1,2,4,7,6,5,3] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0

{{1},{2},{3,4},{5,6,7}} => [1,2,4,3,6,7,5] => [[1,2,3,5,6],[4,7]] => {{1,2,3,5,6},{4,7}} => 2

{{1},{2},{3,4},{5,6},{7}} => [1,2,4,3,6,5,7] => [[1,2,3,5,7],[4,6]] => {{1,2,3,5,7},{4,6}} => 2

{{1,7},{2},{3,4},{5},{6}} => [7,2,4,3,5,6,1] => [[1,3,5,6],[2],[4],[7]] => {{1,3,5,6},{2},{4},{7}} => 3

{{1},{2,7},{3,4},{5},{6}} => [1,7,4,3,5,6,2] => [[1,2,5,6],[3],[4],[7]] => {{1,2,5,6},{3},{4},{7}} => 2

{{1},{2},{3,4,7},{5},{6}} => [1,2,4,7,5,6,3] => [[1,2,3,4,6],[5],[7]] => {{1,2,3,4,6},{5},{7}} => 1

{{1},{2},{3,4},{5,7},{6}} => [1,2,4,3,7,6,5] => [[1,2,3,5],[4,6],[7]] => {{1,2,3,5},{4,6},{7}} => 1

{{1},{2},{3,4},{5},{6,7}} => [1,2,4,3,5,7,6] => [[1,2,3,5,6],[4,7]] => {{1,2,3,5,6},{4,7}} => 2

{{1},{2},{3,4},{5},{6},{7}} => [1,2,4,3,5,6,7] => [[1,2,3,5,6,7],[4]] => {{1,2,3,5,6,7},{4}} => 3

{{1,5,6,7},{2},{3},{4}} => [5,2,3,4,6,7,1] => [[1,3,4,5,6],[2],[7]] => {{1,3,4,5,6},{2},{7}} => 4

{{1,5,6},{2,7},{3},{4}} => [5,7,3,4,6,1,2] => [[1,2,5],[3,4],[6,7]] => {{1,2,5},{3,4},{6,7}} => 1

{{1,5,6},{2},{3,7},{4}} => [5,2,7,4,6,1,3] => [[1,3,5],[2,4],[6,7]] => {{1,3,5},{2,4},{6,7}} => 2

{{1,5,6},{2},{3},{4,7}} => [5,2,3,7,6,1,4] => [[1,3,4],[2,5],[6,7]] => {{1,3,4},{2,5},{6,7}} => 2

{{1,5,6},{2},{3},{4},{7}} => [5,2,3,4,6,1,7] => [[1,3,4,5,7],[2],[6]] => {{1,3,4,5,7},{2},{6}} => 4

{{1,5,7},{2,6},{3},{4}} => [5,6,3,4,7,2,1] => [[1,2,5],[3,4],[6],[7]] => {{1,2,5},{3,4},{6},{7}} => 1

{{1,5},{2,6,7},{3},{4}} => [5,6,3,4,1,7,2] => [[1,2,6],[3,4],[5,7]] => {{1,2,6},{3,4},{5,7}} => 1

{{1,5},{2,6},{3,7},{4}} => [5,6,7,4,1,2,3] => [[1,2,3],[4,6,7],[5]] => {{1,2,3},{4,6,7},{5}} => 4

{{1,5},{2,6},{3},{4,7}} => [5,6,3,7,1,2,4] => [[1,2,4],[3,6,7],[5]] => {{1,2,4},{3,6,7},{5}} => 5

{{1,5},{2,6},{3},{4},{7}} => [5,6,3,4,1,2,7] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 1

{{1,5,7},{2},{3,6},{4}} => [5,2,6,4,7,3,1] => [[1,3,5],[2,4],[6],[7]] => {{1,3,5},{2,4},{6},{7}} => 2

{{1,5},{2,7},{3,6},{4}} => [5,7,6,4,1,3,2] => [[1,2],[3,6],[4],[5],[7]] => {{1,2},{3,6},{4},{5},{7}} => 2

{{1,5},{2},{3,6,7},{4}} => [5,2,6,4,1,7,3] => [[1,3,6],[2,4],[5,7]] => {{1,3,6},{2,4},{5,7}} => 2

{{1,5},{2},{3,6},{4,7}} => [5,2,6,7,1,3,4] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 6

{{1,5},{2},{3,6},{4},{7}} => [5,2,6,4,1,3,7] => [[1,3,7],[2,4],[5,6]] => {{1,3,7},{2,4},{5,6}} => 2

{{1,5,7},{2},{3},{4,6}} => [5,2,3,6,7,4,1] => [[1,3,4,5],[2,6],[7]] => {{1,3,4,5},{2,6},{7}} => 3

{{1,5},{2,7},{3},{4,6}} => [5,7,3,6,1,4,2] => [[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => 0

{{1,5},{2},{3,7},{4,6}} => [5,2,7,6,1,4,3] => [[1,3],[2,4],[5,6],[7]] => {{1,3},{2,4},{5,6},{7}} => 1

{{1,5},{2},{3},{4,6,7}} => [5,2,3,6,1,7,4] => [[1,3,4,6],[2,7],[5]] => {{1,3,4,6},{2,7},{5}} => 5

{{1,5},{2},{3},{4,6},{7}} => [5,2,3,6,1,4,7] => [[1,3,4,7],[2,6],[5]] => {{1,3,4,7},{2,6},{5}} => 5

{{1,5,7},{2},{3},{4},{6}} => [5,2,3,4,7,6,1] => [[1,3,4,5],[2,6],[7]] => {{1,3,4,5},{2,6},{7}} => 3

{{1,5},{2,7},{3},{4},{6}} => [5,7,3,4,1,6,2] => [[1,2,6],[3,4],[5,7]] => {{1,2,6},{3,4},{5,7}} => 1

{{1,5},{2},{3,7},{4},{6}} => [5,2,7,4,1,6,3] => [[1,3,6],[2,4],[5,7]] => {{1,3,6},{2,4},{5,7}} => 2

{{1,5},{2},{3},{4,7},{6}} => [5,2,3,7,1,6,4] => [[1,3,4],[2,6],[5,7]] => {{1,3,4},{2,6},{5,7}} => 4

{{1,5},{2},{3},{4},{6,7}} => [5,2,3,4,1,7,6] => [[1,3,4,6],[2,7],[5]] => {{1,3,4,6},{2,7},{5}} => 5

{{1,5},{2},{3},{4},{6},{7}} => [5,2,3,4,1,6,7] => [[1,3,4,6,7],[2],[5]] => {{1,3,4,6,7},{2},{5}} => 4

{{1,6,7},{2,5},{3},{4}} => [6,5,3,4,2,7,1] => [[1,4,6],[2],[3],[5],[7]] => {{1,4,6},{2},{3},{5},{7}} => 2

{{1,6},{2,5,7},{3},{4}} => [6,5,3,4,7,1,2] => [[1,4,5],[2,7],[3],[6]] => {{1,4,5},{2,7},{3},{6}} => 4

{{1,6},{2,5},{3,7},{4}} => [6,5,7,4,2,1,3] => [[1,3],[2,7],[4],[5],[6]] => {{1,3},{2,7},{4},{5},{6}} => 3

{{1,6},{2,5},{3},{4,7}} => [6,5,3,7,2,1,4] => [[1,4],[2,7],[3],[5],[6]] => {{1,4},{2,7},{3},{5},{6}} => 3

{{1,6},{2,5},{3},{4},{7}} => [6,5,3,4,2,1,7] => [[1,4,7],[2],[3],[5],[6]] => {{1,4,7},{2},{3},{5},{6}} => 2

{{1,7},{2,5,6},{3},{4}} => [7,5,3,4,6,2,1] => [[1,4,5],[2],[3],[6],[7]] => {{1,4,5},{2},{3},{6},{7}} => 2

{{1},{2,5,6,7},{3},{4}} => [1,5,3,4,6,7,2] => [[1,2,4,5,6],[3],[7]] => {{1,2,4,5,6},{3},{7}} => 3

{{1},{2,5,6},{3,7},{4}} => [1,5,7,4,6,2,3] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 0

{{1},{2,5,6},{3},{4,7}} => [1,5,3,7,6,2,4] => [[1,2,4],[3,5],[6,7]] => {{1,2,4},{3,5},{6,7}} => 1

{{1},{2,5,6},{3},{4},{7}} => [1,5,3,4,6,2,7] => [[1,2,4,5,7],[3],[6]] => {{1,2,4,5,7},{3},{6}} => 3

{{1,7},{2,5},{3,6},{4}} => [7,5,6,4,2,3,1] => [[1,3],[2,6],[4],[5],[7]] => {{1,3},{2,6},{4},{5},{7}} => 3

{{1},{2,5,7},{3,6},{4}} => [1,5,6,4,7,3,2] => [[1,2,3,5],[4],[6],[7]] => {{1,2,3,5},{4},{6},{7}} => 1

{{1},{2,5},{3,6,7},{4}} => [1,5,6,4,2,7,3] => [[1,2,3,6],[4,7],[5]] => {{1,2,3,6},{4,7},{5}} => 3

{{1},{2,5},{3,6},{4,7}} => [1,5,6,7,2,3,4] => [[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => 0

{{1},{2,5},{3,6},{4},{7}} => [1,5,6,4,2,3,7] => [[1,2,3,7],[4,6],[5]] => {{1,2,3,7},{4,6},{5}} => 3

{{1,7},{2,5},{3},{4,6}} => [7,5,3,6,2,4,1] => [[1,4],[2,6],[3],[5],[7]] => {{1,4},{2,6},{3},{5},{7}} => 3

{{1},{2,5,7},{3},{4,6}} => [1,5,3,6,7,4,2] => [[1,2,4,5],[3,6],[7]] => {{1,2,4,5},{3,6},{7}} => 2

{{1},{2,5},{3,7},{4,6}} => [1,5,7,6,2,4,3] => [[1,2,3],[4,6],[5],[7]] => {{1,2,3},{4,6},{5},{7}} => 2

{{1},{2,5},{3},{4,6,7}} => [1,5,3,6,2,7,4] => [[1,2,4,6],[3,7],[5]] => {{1,2,4,6},{3,7},{5}} => 4

{{1},{2,5},{3},{4,6},{7}} => [1,5,3,6,2,4,7] => [[1,2,4,7],[3,6],[5]] => {{1,2,4,7},{3,6},{5}} => 4

{{1,7},{2,5},{3},{4},{6}} => [7,5,3,4,2,6,1] => [[1,4,6],[2],[3],[5],[7]] => {{1,4,6},{2},{3},{5},{7}} => 2

{{1},{2,5,7},{3},{4},{6}} => [1,5,3,4,7,6,2] => [[1,2,4,5],[3,6],[7]] => {{1,2,4,5},{3,6},{7}} => 2

{{1},{2,5},{3,7},{4},{6}} => [1,5,7,4,2,6,3] => [[1,2,3],[4,6],[5,7]] => {{1,2,3},{4,6},{5,7}} => 2

{{1},{2,5},{3},{4,7},{6}} => [1,5,3,7,2,6,4] => [[1,2,4],[3,6],[5,7]] => {{1,2,4},{3,6},{5,7}} => 3

{{1},{2,5},{3},{4},{6,7}} => [1,5,3,4,2,7,6] => [[1,2,4,6],[3,7],[5]] => {{1,2,4,6},{3,7},{5}} => 4

{{1},{2,5},{3},{4},{6},{7}} => [1,5,3,4,2,6,7] => [[1,2,4,6,7],[3],[5]] => {{1,2,4,6,7},{3},{5}} => 3

{{1,6,7},{2},{3,5},{4}} => [6,2,5,4,3,7,1] => [[1,3,6],[2],[4],[5],[7]] => {{1,3,6},{2},{4},{5},{7}} => 2

{{1,6},{2,7},{3,5},{4}} => [6,7,5,4,3,1,2] => [[1,2],[3,7],[4],[5],[6]] => {{1,2},{3,7},{4},{5},{6}} => 2

{{1,6},{2},{3,5,7},{4}} => [6,2,5,4,7,1,3] => [[1,3,5],[2,7],[4],[6]] => {{1,3,5},{2,7},{4},{6}} => 4

{{1,6},{2},{3,5},{4,7}} => [6,2,5,7,3,1,4] => [[1,3,4],[2,7],[5],[6]] => {{1,3,4},{2,7},{5},{6}} => 4

{{1,6},{2},{3,5},{4},{7}} => [6,2,5,4,3,1,7] => [[1,3,7],[2],[4],[5],[6]] => {{1,3,7},{2},{4},{5},{6}} => 2

{{1,7},{2,6},{3,5},{4}} => [7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7]] => {{1},{2},{3},{4},{5},{6},{7}} => 0

{{1},{2,6,7},{3,5},{4}} => [1,6,5,4,3,7,2] => [[1,2,6],[3],[4],[5],[7]] => {{1,2,6},{3},{4},{5},{7}} => 1

{{1},{2,6},{3,5,7},{4}} => [1,6,5,4,7,2,3] => [[1,2,5],[3,7],[4],[6]] => {{1,2,5},{3,7},{4},{6}} => 3

{{1},{2,6},{3,5},{4,7}} => [1,6,5,7,3,2,4] => [[1,2,4],[3,7],[5],[6]] => {{1,2,4},{3,7},{5},{6}} => 3

{{1},{2,6},{3,5},{4},{7}} => [1,6,5,4,3,2,7] => [[1,2,7],[3],[4],[5],[6]] => {{1,2,7},{3},{4},{5},{6}} => 1

{{1,7},{2},{3,5,6},{4}} => [7,2,5,4,6,3,1] => [[1,3,5],[2],[4],[6],[7]] => {{1,3,5},{2},{4},{6},{7}} => 2

{{1},{2,7},{3,5,6},{4}} => [1,7,5,4,6,3,2] => [[1,2,5],[3],[4],[6],[7]] => {{1,2,5},{3},{4},{6},{7}} => 1

{{1},{2},{3,5,6,7},{4}} => [1,2,5,4,6,7,3] => [[1,2,3,5,6],[4],[7]] => {{1,2,3,5,6},{4},{7}} => 2

{{1},{2},{3,5,6},{4,7}} => [1,2,5,7,6,3,4] => [[1,2,3,4],[5,7],[6]] => {{1,2,3,4},{5,7},{6}} => 2

{{1},{2},{3,5,6},{4},{7}} => [1,2,5,4,6,3,7] => [[1,2,3,5,7],[4],[6]] => {{1,2,3,5,7},{4},{6}} => 2

{{1,7},{2},{3,5},{4,6}} => [7,2,5,6,3,4,1] => [[1,3,4],[2,6],[5],[7]] => {{1,3,4},{2,6},{5},{7}} => 4

{{1},{2,7},{3,5},{4,6}} => [1,7,5,6,3,4,2] => [[1,2,4],[3,6],[5],[7]] => {{1,2,4},{3,6},{5},{7}} => 3

{{1},{2},{3,5,7},{4,6}} => [1,2,5,6,7,4,3] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0

{{1},{2},{3,5},{4,6,7}} => [1,2,5,6,3,7,4] => [[1,2,3,4,6],[5,7]] => {{1,2,3,4,6},{5,7}} => 1

{{1},{2},{3,5},{4,6},{7}} => [1,2,5,6,3,4,7] => [[1,2,3,4,7],[5,6]] => {{1,2,3,4,7},{5,6}} => 1

{{1,7},{2},{3,5},{4},{6}} => [7,2,5,4,3,6,1] => [[1,3,6],[2],[4],[5],[7]] => {{1,3,6},{2},{4},{5},{7}} => 2

{{1},{2,7},{3,5},{4},{6}} => [1,7,5,4,3,6,2] => [[1,2,6],[3],[4],[5],[7]] => {{1,2,6},{3},{4},{5},{7}} => 1

{{1},{2},{3,5,7},{4},{6}} => [1,2,5,4,7,6,3] => [[1,2,3,5],[4,6],[7]] => {{1,2,3,5},{4,6},{7}} => 1

{{1},{2},{3,5},{4,7},{6}} => [1,2,5,7,3,6,4] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 0

{{1},{2},{3,5},{4},{6,7}} => [1,2,5,4,3,7,6] => [[1,2,3,6],[4,7],[5]] => {{1,2,3,6},{4,7},{5}} => 3

{{1},{2},{3,5},{4},{6},{7}} => [1,2,5,4,3,6,7] => [[1,2,3,6,7],[4],[5]] => {{1,2,3,6,7},{4},{5}} => 2

{{1,6,7},{2},{3},{4,5}} => [6,2,3,5,4,7,1] => [[1,3,4,6],[2],[5],[7]] => {{1,3,4,6},{2},{5},{7}} => 3

{{1,6},{2,7},{3},{4,5}} => [6,7,3,5,4,1,2] => [[1,2],[3,4],[5,7],[6]] => {{1,2},{3,4},{5,7},{6}} => 3

{{1,6},{2},{3,7},{4,5}} => [6,2,7,5,4,1,3] => [[1,3],[2,4],[5,7],[6]] => {{1,3},{2,4},{5,7},{6}} => 4

{{1,6},{2},{3},{4,5,7}} => [6,2,3,5,7,1,4] => [[1,3,4,5],[2,7],[6]] => {{1,3,4,5},{2,7},{6}} => 5

{{1,6},{2},{3},{4,5},{7}} => [6,2,3,5,4,1,7] => [[1,3,4,7],[2],[5],[6]] => {{1,3,4,7},{2},{5},{6}} => 3

{{1,7},{2,6},{3},{4,5}} => [7,6,3,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7]] => {{1,4},{2},{3},{5},{6},{7}} => 1

{{1},{2,6,7},{3},{4,5}} => [1,6,3,5,4,7,2] => [[1,2,4,6],[3],[5],[7]] => {{1,2,4,6},{3},{5},{7}} => 2

{{1},{2,6},{3,7},{4,5}} => [1,6,7,5,4,2,3] => [[1,2,3],[4,7],[5],[6]] => {{1,2,3},{4,7},{5},{6}} => 2

{{1},{2,6},{3},{4,5,7}} => [1,6,3,5,7,2,4] => [[1,2,4,5],[3,7],[6]] => {{1,2,4,5},{3,7},{6}} => 4

{{1},{2,6},{3},{4,5},{7}} => [1,6,3,5,4,2,7] => [[1,2,4,7],[3],[5],[6]] => {{1,2,4,7},{3},{5},{6}} => 2

{{1,7},{2},{3,6},{4,5}} => [7,2,6,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7]] => {{1,3},{2},{4},{5},{6},{7}} => 1

{{1},{2,7},{3,6},{4,5}} => [1,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7]] => {{1,2},{3},{4},{5},{6},{7}} => 0

{{1},{2},{3,6,7},{4,5}} => [1,2,6,5,4,7,3] => [[1,2,3,6],[4],[5],[7]] => {{1,2,3,6},{4},{5},{7}} => 1

{{1},{2},{3,6},{4,5,7}} => [1,2,6,5,7,3,4] => [[1,2,3,5],[4,7],[6]] => {{1,2,3,5},{4,7},{6}} => 3

{{1},{2},{3,6},{4,5},{7}} => [1,2,6,5,4,3,7] => [[1,2,3,7],[4],[5],[6]] => {{1,2,3,7},{4},{5},{6}} => 1

{{1,7},{2},{3},{4,5,6}} => [7,2,3,5,6,4,1] => [[1,3,4,5],[2],[6],[7]] => {{1,3,4,5},{2},{6},{7}} => 3

{{1},{2,7},{3},{4,5,6}} => [1,7,3,5,6,4,2] => [[1,2,4,5],[3],[6],[7]] => {{1,2,4,5},{3},{6},{7}} => 2

{{1},{2},{3,7},{4,5,6}} => [1,2,7,5,6,4,3] => [[1,2,3,5],[4],[6],[7]] => {{1,2,3,5},{4},{6},{7}} => 1

{{1},{2},{3},{4,5,6,7}} => [1,2,3,5,6,7,4] => [[1,2,3,4,5,6],[7]] => {{1,2,3,4,5,6},{7}} => 0

{{1},{2},{3},{4,5,6},{7}} => [1,2,3,5,6,4,7] => [[1,2,3,4,5,7],[6]] => {{1,2,3,4,5,7},{6}} => 1

{{1,7},{2},{3},{4,5},{6}} => [7,2,3,5,4,6,1] => [[1,3,4,6],[2],[5],[7]] => {{1,3,4,6},{2},{5},{7}} => 3

{{1},{2,7},{3},{4,5},{6}} => [1,7,3,5,4,6,2] => [[1,2,4,6],[3],[5],[7]] => {{1,2,4,6},{3},{5},{7}} => 2

{{1},{2},{3,7},{4,5},{6}} => [1,2,7,5,4,6,3] => [[1,2,3,6],[4],[5],[7]] => {{1,2,3,6},{4},{5},{7}} => 1

{{1},{2},{3},{4,5,7},{6}} => [1,2,3,5,7,6,4] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0

{{1},{2},{3},{4,5},{6,7}} => [1,2,3,5,4,7,6] => [[1,2,3,4,6],[5,7]] => {{1,2,3,4,6},{5,7}} => 1

{{1},{2},{3},{4,5},{6},{7}} => [1,2,3,5,4,6,7] => [[1,2,3,4,6,7],[5]] => {{1,2,3,4,6,7},{5}} => 2

{{1,6,7},{2},{3},{4},{5}} => [6,2,3,4,5,7,1] => [[1,3,4,5,6],[2],[7]] => {{1,3,4,5,6},{2},{7}} => 4

{{1,6},{2,7},{3},{4},{5}} => [6,7,3,4,5,1,2] => [[1,2,5],[3,4],[6,7]] => {{1,2,5},{3,4},{6,7}} => 1

{{1,6},{2},{3,7},{4},{5}} => [6,2,7,4,5,1,3] => [[1,3,5],[2,4],[6,7]] => {{1,3,5},{2,4},{6,7}} => 2

{{1,6},{2},{3},{4,7},{5}} => [6,2,3,7,5,1,4] => [[1,3,4],[2,5],[6,7]] => {{1,3,4},{2,5},{6,7}} => 2

{{1,6},{2},{3},{4},{5,7}} => [6,2,3,4,7,1,5] => [[1,3,4,5],[2,7],[6]] => {{1,3,4,5},{2,7},{6}} => 5

{{1,6},{2},{3},{4},{5},{7}} => [6,2,3,4,5,1,7] => [[1,3,4,5,7],[2],[6]] => {{1,3,4,5,7},{2},{6}} => 4

{{1,7},{2,6},{3},{4},{5}} => [7,6,3,4,5,2,1] => [[1,4,5],[2],[3],[6],[7]] => {{1,4,5},{2},{3},{6},{7}} => 2

{{1},{2,6,7},{3},{4},{5}} => [1,6,3,4,5,7,2] => [[1,2,4,5,6],[3],[7]] => {{1,2,4,5,6},{3},{7}} => 3

{{1},{2,6},{3,7},{4},{5}} => [1,6,7,4,5,2,3] => [[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => 0

{{1},{2,6},{3},{4,7},{5}} => [1,6,3,7,5,2,4] => [[1,2,4],[3,5],[6,7]] => {{1,2,4},{3,5},{6,7}} => 1

{{1},{2,6},{3},{4},{5,7}} => [1,6,3,4,7,2,5] => [[1,2,4,5],[3,7],[6]] => {{1,2,4,5},{3,7},{6}} => 4

{{1},{2,6},{3},{4},{5},{7}} => [1,6,3,4,5,2,7] => [[1,2,4,5,7],[3],[6]] => {{1,2,4,5,7},{3},{6}} => 3

{{1,7},{2},{3,6},{4},{5}} => [7,2,6,4,5,3,1] => [[1,3,5],[2],[4],[6],[7]] => {{1,3,5},{2},{4},{6},{7}} => 2

{{1},{2,7},{3,6},{4},{5}} => [1,7,6,4,5,3,2] => [[1,2,5],[3],[4],[6],[7]] => {{1,2,5},{3},{4},{6},{7}} => 1

{{1},{2},{3,6,7},{4},{5}} => [1,2,6,4,5,7,3] => [[1,2,3,5,6],[4],[7]] => {{1,2,3,5,6},{4},{7}} => 2

{{1},{2},{3,6},{4,7},{5}} => [1,2,6,7,5,3,4] => [[1,2,3,4],[5,7],[6]] => {{1,2,3,4},{5,7},{6}} => 2

{{1},{2},{3,6},{4},{5,7}} => [1,2,6,4,7,3,5] => [[1,2,3,5],[4,7],[6]] => {{1,2,3,5},{4,7},{6}} => 3

{{1},{2},{3,6},{4},{5},{7}} => [1,2,6,4,5,3,7] => [[1,2,3,5,7],[4],[6]] => {{1,2,3,5,7},{4},{6}} => 2

{{1,7},{2},{3},{4,6},{5}} => [7,2,3,6,5,4,1] => [[1,3,4],[2],[5],[6],[7]] => {{1,3,4},{2},{5},{6},{7}} => 2

{{1},{2,7},{3},{4,6},{5}} => [1,7,3,6,5,4,2] => [[1,2,4],[3],[5],[6],[7]] => {{1,2,4},{3},{5},{6},{7}} => 1

{{1},{2},{3,7},{4,6},{5}} => [1,2,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 0

{{1},{2},{3},{4,6,7},{5}} => [1,2,3,6,5,7,4] => [[1,2,3,4,6],[5],[7]] => {{1,2,3,4,6},{5},{7}} => 1

{{1},{2},{3},{4,6},{5,7}} => [1,2,3,6,7,4,5] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 0

{{1},{2},{3},{4,6},{5},{7}} => [1,2,3,6,5,4,7] => [[1,2,3,4,7],[5],[6]] => {{1,2,3,4,7},{5},{6}} => 1

{{1,7},{2},{3},{4},{5,6}} => [7,2,3,4,6,5,1] => [[1,3,4,5],[2],[6],[7]] => {{1,3,4,5},{2},{6},{7}} => 3

{{1},{2,7},{3},{4},{5,6}} => [1,7,3,4,6,5,2] => [[1,2,4,5],[3],[6],[7]] => {{1,2,4,5},{3},{6},{7}} => 2

{{1},{2},{3,7},{4},{5,6}} => [1,2,7,4,6,5,3] => [[1,2,3,5],[4],[6],[7]] => {{1,2,3,5},{4},{6},{7}} => 1

{{1},{2},{3},{4,7},{5,6}} => [1,2,3,7,6,5,4] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 0

{{1},{2},{3},{4},{5,6,7}} => [1,2,3,4,6,7,5] => [[1,2,3,4,5,6],[7]] => {{1,2,3,4,5,6},{7}} => 0

{{1},{2},{3},{4},{5,6},{7}} => [1,2,3,4,6,5,7] => [[1,2,3,4,5,7],[6]] => {{1,2,3,4,5,7},{6}} => 1

{{1,7},{2},{3},{4},{5},{6}} => [7,2,3,4,5,6,1] => [[1,3,4,5,6],[2],[7]] => {{1,3,4,5,6},{2},{7}} => 4

{{1},{2,7},{3},{4},{5},{6}} => [1,7,3,4,5,6,2] => [[1,2,4,5,6],[3],[7]] => {{1,2,4,5,6},{3},{7}} => 3

{{1},{2},{3,7},{4},{5},{6}} => [1,2,7,4,5,6,3] => [[1,2,3,5,6],[4],[7]] => {{1,2,3,5,6},{4},{7}} => 2

{{1},{2},{3},{4,7},{5},{6}} => [1,2,3,7,5,6,4] => [[1,2,3,4,6],[5],[7]] => {{1,2,3,4,6},{5},{7}} => 1

{{1},{2},{3},{4},{5,7},{6}} => [1,2,3,4,7,6,5] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 0

{{1},{2},{3},{4},{5},{6,7}} => [1,2,3,4,5,7,6] => [[1,2,3,4,5,6],[7]] => {{1,2,3,4,5,6},{7}} => 0

{{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}} => [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] => [[1,2,3,4,5,6,7],[8]] => {{1,2,3,4,5,6,7},{8}} => 0

{{1},{2},{3},{4},{5},{6,7,8}} => [1,2,3,4,5,7,8,6] => [[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}} => [1,2,3,4,6,7,8,5] => [[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}} => [1,2,3,5,6,7,8,4] => [[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}} => [1,2,4,3,6,5,7,8] => [[1,2,3,5,7,8],[4,6]] => {{1,2,3,5,7,8},{4,6}} => 3

{{1},{2},{3,4},{5,6,7,8}} => [1,2,4,3,6,7,8,5] => [[1,2,3,5,6,7],[4,8]] => {{1,2,3,5,6,7},{4,8}} => 3

{{1},{2},{3,4,5},{6,7,8}} => [1,2,4,5,3,7,8,6] => [[1,2,3,4,6,7],[5,8]] => {{1,2,3,4,6,7},{5,8}} => 2

{{1},{2},{3,4,5,6},{7,8}} => [1,2,4,5,6,3,8,7] => [[1,2,3,4,5,7],[6,8]] => {{1,2,3,4,5,7},{6,8}} => 1

{{1},{2},{3,4,5,6,7},{8}} => [1,2,4,5,6,7,3,8] => [[1,2,3,4,5,6,8],[7]] => {{1,2,3,4,5,6,8},{7}} => 1

{{1},{2},{3,4,5,6,7,8}} => [1,2,4,5,6,7,8,3] => [[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}} => [1,3,2,4,5,7,6,8] => [[1,2,4,5,6,8],[3,7]] => {{1,2,4,5,6,8},{3,7}} => 4

{{1},{2,3},{4},{5,6,7,8}} => [1,3,2,4,6,7,8,5] => [[1,2,4,5,6,7],[3,8]] => {{1,2,4,5,6,7},{3,8}} => 4

{{1},{2,3},{4,5,6,7,8}} => [1,3,2,5,6,7,8,4] => [[1,2,4,5,6,7],[3,8]] => {{1,2,4,5,6,7},{3,8}} => 4

{{1},{2,3,4},{5},{6,7,8}} => [1,3,4,2,5,7,8,6] => [[1,2,3,5,6,7],[4,8]] => {{1,2,3,5,6,7},{4,8}} => 3

{{1},{2,3,4},{5,6,7},{8}} => [1,3,4,2,6,7,5,8] => [[1,2,3,5,6,8],[4,7]] => {{1,2,3,5,6,8},{4,7}} => 3

{{1},{2,3,4,5,6,7,8}} => [1,3,4,5,6,7,8,2] => [[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}} => [2,1,3,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => {{1,3,4,5,6,7,8},{2}} => 6

{{1,2},{3},{4},{5},{6},{7,8}} => [2,1,3,4,5,6,8,7] => [[1,3,4,5,6,7],[2,8]] => {{1,3,4,5,6,7},{2,8}} => 5

{{1,2},{3},{4},{5,6},{7},{8}} => [2,1,3,4,6,5,7,8] => [[1,3,4,5,7,8],[2,6]] => {{1,3,4,5,7,8},{2,6}} => 5

{{1,2},{3},{4},{5,6,7,8}} => [2,1,3,4,6,7,8,5] => [[1,3,4,5,6,7],[2,8]] => {{1,3,4,5,6,7},{2,8}} => 5

{{1,2},{3,4},{5},{6},{7},{8}} => [2,1,4,3,5,6,7,8] => [[1,3,5,6,7,8],[2,4]] => {{1,3,5,6,7,8},{2,4}} => 5

{{1,2},{3,4,5},{6},{7},{8}} => [2,1,4,5,3,6,7,8] => [[1,3,4,6,7,8],[2,5]] => {{1,3,4,6,7,8},{2,5}} => 5

{{1,2},{3,4,5,6,7,8}} => [2,1,4,5,6,7,8,3] => [[1,3,4,5,6,7],[2,8]] => {{1,3,4,5,6,7},{2,8}} => 5

{{1,3},{2},{4},{5},{6},{7},{8}} => [3,2,1,4,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}} => 5

{{1,4},{2},{3},{5},{6},{7},{8}} => [4,2,3,1,5,6,7,8] => [[1,3,5,6,7,8],[2],[4]] => {{1,3,5,6,7,8},{2},{4}} => 5

{{1,3,4},{2},{5},{6},{7},{8}} => [3,2,4,1,5,6,7,8] => [[1,3,5,6,7,8],[2],[4]] => {{1,3,5,6,7,8},{2},{4}} => 5

{{1,2,3},{4},{5},{6},{7},{8}} => [2,3,1,4,5,6,7,8] => [[1,2,4,5,6,7,8],[3]] => {{1,2,4,5,6,7,8},{3}} => 5

{{1,2,3},{4},{5},{6,7,8}} => [2,3,1,4,5,7,8,6] => [[1,2,4,5,6,7],[3,8]] => {{1,2,4,5,6,7},{3,8}} => 4

{{1,2,3},{4,5},{6},{7},{8}} => [2,3,1,5,4,6,7,8] => [[1,2,4,6,7,8],[3,5]] => {{1,2,4,6,7,8},{3,5}} => 4

{{1,2,3},{4,5,6},{7},{8}} => [2,3,1,5,6,4,7,8] => [[1,2,4,5,7,8],[3,6]] => {{1,2,4,5,7,8},{3,6}} => 4

{{1,2,3},{4,5,6,7},{8}} => [2,3,1,5,6,7,4,8] => [[1,2,4,5,6,8],[3,7]] => {{1,2,4,5,6,8},{3,7}} => 4

{{1,2,3},{4,5,6,7,8}} => [2,3,1,5,6,7,8,4] => [[1,2,4,5,6,7],[3,8]] => {{1,2,4,5,6,7},{3,8}} => 4

{{1,2,3,4},{5},{6},{7},{8}} => [2,3,4,1,5,6,7,8] => [[1,2,3,5,6,7,8],[4]] => {{1,2,3,5,6,7,8},{4}} => 4

{{1,2,3,4},{5},{6,7},{8}} => [2,3,4,1,5,7,6,8] => [[1,2,3,5,6,8],[4,7]] => {{1,2,3,5,6,8},{4,7}} => 3

{{1,2,3,4},{5,6},{7},{8}} => [2,3,4,1,6,5,7,8] => [[1,2,3,5,7,8],[4,6]] => {{1,2,3,5,7,8},{4,6}} => 3

{{1,2,3,4},{5,6,7},{8}} => [2,3,4,1,6,7,5,8] => [[1,2,3,5,6,8],[4,7]] => {{1,2,3,5,6,8},{4,7}} => 3

{{1,2,3,4},{5,6,7,8}} => [2,3,4,1,6,7,8,5] => [[1,2,3,5,6,7],[4,8]] => {{1,2,3,5,6,7},{4,8}} => 3

{{1,2,3,4,5},{6},{7},{8}} => [2,3,4,5,1,6,7,8] => [[1,2,3,4,6,7,8],[5]] => {{1,2,3,4,6,7,8},{5}} => 3

{{1,2,3,4,5},{6,7},{8}} => [2,3,4,5,1,7,6,8] => [[1,2,3,4,6,8],[5,7]] => {{1,2,3,4,6,8},{5,7}} => 2

{{1,2,3,4,5},{6,7,8}} => [2,3,4,5,1,7,8,6] => [[1,2,3,4,6,7],[5,8]] => {{1,2,3,4,6,7},{5,8}} => 2

{{1,2,3,4,5,6},{7},{8}} => [2,3,4,5,6,1,7,8] => [[1,2,3,4,5,7,8],[6]] => {{1,2,3,4,5,7,8},{6}} => 2

{{1,2,3,4,5,6},{7,8}} => [2,3,4,5,6,1,8,7] => [[1,2,3,4,5,7],[6,8]] => {{1,2,3,4,5,7},{6,8}} => 1

{{1,2,3,4,5,6,7},{8}} => [2,3,4,5,6,7,1,8] => [[1,2,3,4,5,6,8],[7]] => {{1,2,3,4,5,6,8},{7}} => 1

{{1,2,3,4,5,6,7,8}} => [2,3,4,5,6,7,8,1] => [[1,2,3,4,5,6,7],[8]] => {{1,2,3,4,5,6,7},{8}} => 0

{{1,2,3,4,5,7},{6,8}} => [2,3,4,5,7,8,1,6] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 0

{{1,2,3,5,7},{4,6,8}} => [2,3,5,6,7,8,1,4] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 0

{{1,2,3,4,6},{5,7},{8}} => [2,3,4,6,7,1,5,8] => [[1,2,3,4,5,8],[6,7]] => {{1,2,3,4,5,8},{6,7}} => 1

{{1,3,5,7},{2,4,6,8}} => [3,4,5,6,7,8,1,2] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 0

{{1,2,4,6},{3,5,7,8}} => [2,4,5,6,7,1,8,3] => [[1,2,3,4,5,7],[6,8]] => {{1,2,3,4,5,7},{6,8}} => 1

{{1,2,3,5},{4,6,7,8}} => [2,3,5,6,1,7,8,4] => [[1,2,3,4,6,7],[5,8]] => {{1,2,3,4,6,7},{5,8}} => 2

{{1,2,3,5},{4,6},{7},{8}} => [2,3,5,6,1,4,7,8] => [[1,2,3,4,7,8],[5,6]] => {{1,2,3,4,7,8},{5,6}} => 2

{{1,3,5},{2,4,6},{7},{8}} => [3,4,5,6,1,2,7,8] => [[1,2,3,4,7,8],[5,6]] => {{1,2,3,4,7,8},{5,6}} => 2

{{1,3},{2,4},{5},{6},{7},{8}} => [3,4,1,2,5,6,7,8] => [[1,2,5,6,7,8],[3,4]] => {{1,2,5,6,7,8},{3,4}} => 4

{{1,3},{2,4,5,6,7,8}} => [3,4,1,5,6,7,8,2] => [[1,2,4,5,6,7],[3,8]] => {{1,2,4,5,6,7},{3,8}} => 4

{{1},{2},{3,5},{4,6,7,8}} => [1,2,5,6,3,7,8,4] => [[1,2,3,4,6,7],[5,8]] => {{1,2,3,4,6,7},{5,8}} => 2

{{1},{2},{3,5,7},{4,6,8}} => [1,2,5,6,7,8,3,4] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 0

{{1},{2,4,6},{3,5,7},{8}} => [1,4,5,6,7,2,3,8] => [[1,2,3,4,5,8],[6,7]] => {{1,2,3,4,5,8},{6,7}} => 1

{{1},{2,3,5},{4,6,7},{8}} => [1,3,5,6,2,7,4,8] => [[1,2,3,4,6,8],[5,7]] => {{1,2,3,4,6,8},{5,7}} => 2

{{1},{2},{3,5},{4,6},{7},{8}} => [1,2,5,6,3,4,7,8] => [[1,2,3,4,7,8],[5,6]] => {{1,2,3,4,7,8},{5,6}} => 2

{{1},{2,3,5},{4,6,7,8}} => [1,3,5,6,2,7,8,4] => [[1,2,3,4,6,7],[5,8]] => {{1,2,3,4,6,7},{5,8}} => 2

{{1},{2,3,4,6},{5,7},{8}} => [1,3,4,6,7,2,5,8] => [[1,2,3,4,5,8],[6,7]] => {{1,2,3,4,5,8},{6,7}} => 1

{{1,2,4},{3,5,6,7,8}} => [2,4,5,1,6,7,8,3] => [[1,2,3,5,6,7],[4,8]] => {{1,2,3,5,6,7},{4,8}} => 3

{{1},{2},{3},{4},{5,7},{6,8}} => [1,2,3,4,7,8,5,6] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 0

{{1},{2,3,5,7},{4,6,8}} => [1,3,5,6,7,8,2,4] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 0

{{1},{2,3,4,5,7},{6,8}} => [1,3,4,5,7,8,2,6] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 0

{{1},{2,4},{3,5,6,7,8}} => [1,4,5,2,6,7,8,3] => [[1,2,3,5,6,7],[4,8]] => {{1,2,3,5,6,7},{4,8}} => 3

{{1,3},{2,4,5,6,7},{8}} => [3,4,1,5,6,7,2,8] => [[1,2,4,5,6,8],[3,7]] => {{1,2,4,5,6,8},{3,7}} => 4

{{1},{2,3,4,6},{5,7,8}} => [1,3,4,6,7,2,8,5] => [[1,2,3,4,5,7],[6,8]] => {{1,2,3,4,5,7},{6,8}} => 1

{{1,3,5},{2,4,6,7,8}} => [3,4,5,6,1,7,8,2] => [[1,2,3,4,6,7],[5,8]] => {{1,2,3,4,6,7},{5,8}} => 2

{{1},{2},{3,4,5,7},{6,8}} => [1,2,4,5,7,8,3,6] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 0

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Description

The major index of a set partition.
Let $\pi=B_1/B_2/\dots/B_k$ with $\min B_1<\min B_2<\dots<\min B_k$ a set partition. Let $d_i$ be the number of elements in $B_i$ larger than $\min B_{i+1}$. Then the major index of $\pi$ is $1d_1+2d_2+\dots+(k-1)d_{k-1}$.

Map

to permutation

Description

Sends the set partition to the permutation obtained by considering the blocks as increasing cycles.

Map

Robinson-Schensted recording tableau

Description

Sends a permutation to its Robinson-Schensted recording 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 recording tableau.

Map

rows

Description

The set partition whose blocks are the rows of the tableau.