Identifier
Values
{{1}} => {{1}} => [[1]] => [1] => 0
{{1,2}} => {{1,2}} => [[1,2]] => [1,2] => 0
{{1},{2}} => {{1},{2}} => [[1],[2]] => [2,1] => 0
{{1,2,3}} => {{1,2,3}} => [[1,2,3]] => [1,2,3] => 0
{{1,2},{3}} => {{1,2},{3}} => [[1,2],[3]] => [3,1,2] => 1
{{1,3},{2}} => {{1},{2,3}} => [[1,3],[2]] => [2,1,3] => 0
{{1},{2,3}} => {{1,3},{2}} => [[1,3],[2]] => [2,1,3] => 0
{{1},{2},{3}} => {{1},{2},{3}} => [[1],[2],[3]] => [3,2,1] => 0
{{1,2,3,4}} => {{1,2,3,4}} => [[1,2,3,4]] => [1,2,3,4] => 0
{{1,2,3},{4}} => {{1,2,3},{4}} => [[1,2,3],[4]] => [4,1,2,3] => 1
{{1,2,4},{3}} => {{1,2},{3,4}} => [[1,2],[3,4]] => [3,4,1,2] => 1
{{1,2},{3,4}} => {{1,2,4},{3}} => [[1,2,4],[3]] => [3,1,2,4] => 1
{{1,2},{3},{4}} => {{1,2},{3},{4}} => [[1,2],[3],[4]] => [4,3,1,2] => 1
{{1,3,4},{2}} => {{1},{2,3,4}} => [[1,3,4],[2]] => [2,1,3,4] => 0
{{1,3},{2,4}} => {{1,4},{2,3}} => [[1,3],[2,4]] => [2,4,1,3] => 1
{{1,3},{2},{4}} => {{1},{2,3},{4}} => [[1,3],[2],[4]] => [4,2,1,3] => 1
{{1,4},{2,3}} => {{1,3},{2,4}} => [[1,3],[2,4]] => [2,4,1,3] => 1
{{1},{2,3,4}} => {{1,3,4},{2}} => [[1,3,4],[2]] => [2,1,3,4] => 0
{{1},{2,3},{4}} => {{1,3},{2},{4}} => [[1,3],[2],[4]] => [4,2,1,3] => 1
{{1,4},{2},{3}} => {{1},{2},{3,4}} => [[1,4],[2],[3]] => [3,2,1,4] => 0
{{1},{2,4},{3}} => {{1},{2,4},{3}} => [[1,4],[2],[3]] => [3,2,1,4] => 0
{{1},{2},{3,4}} => {{1,4},{2},{3}} => [[1,4],[2],[3]] => [3,2,1,4] => 0
{{1},{2},{3},{4}} => {{1},{2},{3},{4}} => [[1],[2],[3],[4]] => [4,3,2,1] => 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}} => {{1,2,3,4},{5}} => [[1,2,3,4],[5]] => [5,1,2,3,4] => 1
{{1,2,3,5},{4}} => {{1,2,3},{4,5}} => [[1,2,3],[4,5]] => [4,5,1,2,3] => 1
{{1,2,3},{4,5}} => {{1,2,3,5},{4}} => [[1,2,3,5],[4]] => [4,1,2,3,5] => 1
{{1,2,3},{4},{5}} => {{1,2,3},{4},{5}} => [[1,2,3],[4],[5]] => [5,4,1,2,3] => 1
{{1,2,4,5},{3}} => {{1,2,5},{3,4}} => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
{{1,2,4},{3,5}} => {{1,2},{3,4,5}} => [[1,2,5],[3,4]] => [3,4,1,2,5] => 1
{{1,2,4},{3},{5}} => {{1,2},{3,4},{5}} => [[1,2],[3,4],[5]] => [5,3,4,1,2] => 2
{{1,2,5},{3,4}} => {{1,2,4},{3,5}} => [[1,2,4],[3,5]] => [3,5,1,2,4] => 1
{{1,2},{3,4,5}} => {{1,2,4,5},{3}} => [[1,2,4,5],[3]] => [3,1,2,4,5] => 1
{{1,2},{3,4},{5}} => {{1,2,4},{3},{5}} => [[1,2,4],[3],[5]] => [5,3,1,2,4] => 2
{{1,2,5},{3},{4}} => {{1,2},{3},{4,5}} => [[1,2],[3,5],[4]] => [4,3,5,1,2] => 1
{{1,2},{3,5},{4}} => {{1,2},{3,5},{4}} => [[1,2],[3,5],[4]] => [4,3,5,1,2] => 1
{{1,2},{3},{4,5}} => {{1,2,5},{3},{4}} => [[1,2,5],[3],[4]] => [4,3,1,2,5] => 1
{{1,2},{3},{4},{5}} => {{1,2},{3},{4},{5}} => [[1,2],[3],[4],[5]] => [5,4,3,1,2] => 1
{{1,3,4,5},{2}} => {{1},{2,3,4,5}} => [[1,3,4,5],[2]] => [2,1,3,4,5] => 0
{{1,3,4},{2,5}} => {{1,5},{2,3,4}} => [[1,3,4],[2,5]] => [2,5,1,3,4] => 1
{{1,3,4},{2},{5}} => {{1},{2,3,4},{5}} => [[1,3,4],[2],[5]] => [5,2,1,3,4] => 1
{{1,3,5},{2,4}} => {{1,4},{2,3,5}} => [[1,3,5],[2,4]] => [2,4,1,3,5] => 1
{{1,3},{2,4,5}} => {{1,4,5},{2,3}} => [[1,3,5],[2,4]] => [2,4,1,3,5] => 1
{{1,3},{2,4},{5}} => {{1,4},{2,3},{5}} => [[1,3],[2,4],[5]] => [5,2,4,1,3] => 2
{{1,3,5},{2},{4}} => {{1,5},{2,3},{4}} => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
{{1,3},{2,5},{4}} => {{1},{2,3},{4,5}} => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
{{1,3},{2},{4,5}} => {{1},{2,3,5},{4}} => [[1,3,5],[2],[4]] => [4,2,1,3,5] => 1
{{1,3},{2},{4},{5}} => {{1},{2,3},{4},{5}} => [[1,3],[2],[4],[5]] => [5,4,2,1,3] => 1
{{1,4,5},{2,3}} => {{1,3,5},{2,4}} => [[1,3,5],[2,4]] => [2,4,1,3,5] => 1
{{1,4},{2,3,5}} => {{1,3},{2,4,5}} => [[1,3,5],[2,4]] => [2,4,1,3,5] => 1
{{1,4},{2,3},{5}} => {{1,3},{2,4},{5}} => [[1,3],[2,4],[5]] => [5,2,4,1,3] => 2
{{1,5},{2,3,4}} => {{1,3,4},{2,5}} => [[1,3,4],[2,5]] => [2,5,1,3,4] => 1
{{1},{2,3,4,5}} => {{1,3,4,5},{2}} => [[1,3,4,5],[2]] => [2,1,3,4,5] => 0
{{1},{2,3,4},{5}} => {{1,3,4},{2},{5}} => [[1,3,4],[2],[5]] => [5,2,1,3,4] => 1
{{1,5},{2,3},{4}} => {{1,3},{2},{4,5}} => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
{{1},{2,3,5},{4}} => {{1,3},{2,5},{4}} => [[1,3],[2,5],[4]] => [4,2,5,1,3] => 2
{{1},{2,3},{4,5}} => {{1,3,5},{2},{4}} => [[1,3,5],[2],[4]] => [4,2,1,3,5] => 1
{{1},{2,3},{4},{5}} => {{1,3},{2},{4},{5}} => [[1,3],[2],[4],[5]] => [5,4,2,1,3] => 1
{{1,4,5},{2},{3}} => {{1},{2},{3,4,5}} => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 0
{{1,4},{2,5},{3}} => {{1},{2,5},{3,4}} => [[1,4],[2,5],[3]] => [3,2,5,1,4] => 1
{{1,4},{2},{3,5}} => {{1,5},{2},{3,4}} => [[1,4],[2,5],[3]] => [3,2,5,1,4] => 1
{{1,4},{2},{3},{5}} => {{1},{2},{3,4},{5}} => [[1,4],[2],[3],[5]] => [5,3,2,1,4] => 1
{{1,5},{2,4},{3}} => {{1},{2,4},{3,5}} => [[1,4],[2,5],[3]] => [3,2,5,1,4] => 1
{{1},{2,4,5},{3}} => {{1},{2,4,5},{3}} => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 0
{{1},{2,4},{3,5}} => {{1,5},{2,4},{3}} => [[1,4],[2,5],[3]] => [3,2,5,1,4] => 1
{{1},{2,4},{3},{5}} => {{1},{2,4},{3},{5}} => [[1,4],[2],[3],[5]] => [5,3,2,1,4] => 1
{{1,5},{2},{3,4}} => {{1,4},{2},{3,5}} => [[1,4],[2,5],[3]] => [3,2,5,1,4] => 1
{{1},{2,5},{3,4}} => {{1,4},{2,5},{3}} => [[1,4],[2,5],[3]] => [3,2,5,1,4] => 1
{{1},{2},{3,4,5}} => {{1,4,5},{2},{3}} => [[1,4,5],[2],[3]] => [3,2,1,4,5] => 0
{{1},{2},{3,4},{5}} => {{1,4},{2},{3},{5}} => [[1,4],[2],[3],[5]] => [5,3,2,1,4] => 1
{{1,5},{2},{3},{4}} => {{1},{2},{3},{4,5}} => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 0
{{1},{2,5},{3},{4}} => {{1},{2},{3,5},{4}} => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 0
{{1},{2},{3,5},{4}} => {{1},{2,5},{3},{4}} => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 0
{{1},{2},{3},{4,5}} => {{1,5},{2},{3},{4}} => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => 0
{{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}} => [[1],[2],[3],[4],[5]] => [5,4,3,2,1] => 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}} => {{1,2,3,4,5},{6}} => [[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => 1
{{1,2,3,4,6},{5}} => {{1,2,3,4},{5,6}} => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => 1
{{1,2,3,4},{5,6}} => {{1,2,3,4,6},{5}} => [[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => 1
{{1,2,3,4},{5},{6}} => {{1,2,3,4},{5},{6}} => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => 1
{{1,2,3,5,6},{4}} => {{1,2,3,6},{4,5}} => [[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => 1
{{1,2,3,5},{4,6}} => {{1,2,3},{4,5,6}} => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => 1
{{1,2,3,5},{4},{6}} => {{1,2,3},{4,5},{6}} => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => 2
{{1,2,3,6},{4,5}} => {{1,2,3,5},{4,6}} => [[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => 1
{{1,2,3},{4,5,6}} => {{1,2,3,5,6},{4}} => [[1,2,3,5,6],[4]] => [4,1,2,3,5,6] => 1
{{1,2,3},{4,5},{6}} => {{1,2,3,5},{4},{6}} => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => 2
{{1,2,3,6},{4},{5}} => {{1,2,3},{4},{5,6}} => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 1
{{1,2,3},{4,6},{5}} => {{1,2,3},{4,6},{5}} => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => 1
{{1,2,3},{4},{5,6}} => {{1,2,3,6},{4},{5}} => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => 1
{{1,2,3},{4},{5},{6}} => {{1,2,3},{4},{5},{6}} => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => 1
{{1,2,4,5,6},{3}} => {{1,2,5,6},{3,4}} => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
{{1,2,4,5},{3,6}} => {{1,2,5},{3,4,6}} => [[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => 1
{{1,2,4,5},{3},{6}} => {{1,2,5},{3,4},{6}} => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 2
{{1,2,4,6},{3,5}} => {{1,2,6},{3,4,5}} => [[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => 1
{{1,2,4},{3,5,6}} => {{1,2},{3,4,5,6}} => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => 1
{{1,2,4},{3,5},{6}} => {{1,2},{3,4,5},{6}} => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => 2
{{1,2,4,6},{3},{5}} => {{1,2},{3,4,6},{5}} => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 2
{{1,2,4},{3,6},{5}} => {{1,2},{3,4},{5,6}} => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => 2
{{1,2,4},{3},{5,6}} => {{1,2,6},{3,4},{5}} => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => 2
{{1,2,4},{3},{5},{6}} => {{1,2},{3,4},{5},{6}} => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => 2
{{1,2,5,6},{3,4}} => {{1,2,4,6},{3,5}} => [[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => 1
>>> Load all 438 entries. <<<
{{1,2,5},{3,4,6}} => {{1,2,4},{3,5,6}} => [[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => 1
{{1,2,5},{3,4},{6}} => {{1,2,4},{3,5},{6}} => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => 2
{{1,2,6},{3,4,5}} => {{1,2,4,5},{3,6}} => [[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => 1
{{1,2},{3,4,5,6}} => {{1,2,4,5,6},{3}} => [[1,2,4,5,6],[3]] => [3,1,2,4,5,6] => 1
{{1,2},{3,4,5},{6}} => {{1,2,4,5},{3},{6}} => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => 2
{{1,2,6},{3,4},{5}} => {{1,2,4},{3},{5,6}} => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 2
{{1,2},{3,4,6},{5}} => {{1,2,4},{3,6},{5}} => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => 2
{{1,2},{3,4},{5,6}} => {{1,2,4,6},{3},{5}} => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => 2
{{1,2},{3,4},{5},{6}} => {{1,2,4},{3},{5},{6}} => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => 2
{{1,2,5,6},{3},{4}} => {{1,2,6},{3},{4,5}} => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 1
{{1,2,5},{3,6},{4}} => {{1,2},{3,6},{4,5}} => [[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => 2
{{1,2,5},{3},{4,6}} => {{1,2},{3},{4,5,6}} => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 1
{{1,2,5},{3},{4},{6}} => {{1,2},{3},{4,5},{6}} => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => 2
{{1,2,6},{3,5},{4}} => {{1,2},{3,5},{4,6}} => [[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => 2
{{1,2},{3,5,6},{4}} => {{1,2,6},{3,5},{4}} => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 1
{{1,2},{3,5},{4,6}} => {{1,2},{3,5,6},{4}} => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => 1
{{1,2},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6}} => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => 2
{{1,2,6},{3},{4,5}} => {{1,2,5},{3},{4,6}} => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 1
{{1,2},{3,6},{4,5}} => {{1,2,5},{3,6},{4}} => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => 1
{{1,2},{3},{4,5,6}} => {{1,2,5,6},{3},{4}} => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => 1
{{1,2},{3},{4,5},{6}} => {{1,2,5},{3},{4},{6}} => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => 2
{{1,2,6},{3},{4},{5}} => {{1,2},{3},{4},{5,6}} => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => 1
{{1,2},{3,6},{4},{5}} => {{1,2},{3},{4,6},{5}} => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => 1
{{1,2},{3},{4,6},{5}} => {{1,2},{3,6},{4},{5}} => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => 1
{{1,2},{3},{4},{5,6}} => {{1,2,6},{3},{4},{5}} => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => 1
{{1,2},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6}} => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => 1
{{1,3,4,5,6},{2}} => {{1},{2,3,4,5,6}} => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 0
{{1,3,4,5},{2,6}} => {{1,6},{2,3,4,5}} => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => 1
{{1,3,4,5},{2},{6}} => {{1},{2,3,4,5},{6}} => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => 1
{{1,3,4,6},{2,5}} => {{1,5,6},{2,3,4}} => [[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => 1
{{1,3,4},{2,5,6}} => {{1,5},{2,3,4,6}} => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => 1
{{1,3,4},{2,5},{6}} => {{1,5},{2,3,4},{6}} => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 2
{{1,3,4,6},{2},{5}} => {{1,6},{2,3,4},{5}} => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 2
{{1,3,4},{2,6},{5}} => {{1},{2,3,4},{5,6}} => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 2
{{1,3,4},{2},{5,6}} => {{1},{2,3,4,6},{5}} => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => 1
{{1,3,4},{2},{5},{6}} => {{1},{2,3,4},{5},{6}} => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => 1
{{1,3,5,6},{2,4}} => {{1,4},{2,3,5,6}} => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => 1
{{1,3,5},{2,4,6}} => {{1,4,6},{2,3,5}} => [[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => 1
{{1,3,5},{2,4},{6}} => {{1,4},{2,3,5},{6}} => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 2
{{1,3,6},{2,4,5}} => {{1,4,5},{2,3,6}} => [[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => 1
{{1,3},{2,4,5,6}} => {{1,4,5,6},{2,3}} => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => 1
{{1,3},{2,4,5},{6}} => {{1,4,5},{2,3},{6}} => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 2
{{1,3,6},{2,4},{5}} => {{1,4},{2,3},{5,6}} => [[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => 2
{{1,3},{2,4,6},{5}} => {{1,4},{2,3,6},{5}} => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 2
{{1,3},{2,4},{5,6}} => {{1,4,6},{2,3},{5}} => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 2
{{1,3},{2,4},{5},{6}} => {{1,4},{2,3},{5},{6}} => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => 2
{{1,3,5,6},{2},{4}} => {{1,5,6},{2,3},{4}} => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
{{1,3,5},{2,6},{4}} => {{1,5},{2,3},{4,6}} => [[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => 2
{{1,3,5},{2},{4,6}} => {{1,5},{2,3,6},{4}} => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
{{1,3,5},{2},{4},{6}} => {{1,5},{2,3},{4},{6}} => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => 3
{{1,3,6},{2,5},{4}} => {{1,6},{2,3},{4,5}} => [[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => 2
{{1,3},{2,5,6},{4}} => {{1},{2,3,6},{4,5}} => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
{{1,3},{2,5},{4,6}} => {{1},{2,3},{4,5,6}} => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
{{1,3},{2,5},{4},{6}} => {{1},{2,3},{4,5},{6}} => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => 3
{{1,3,6},{2},{4,5}} => {{1,6},{2,3,5},{4}} => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 2
{{1,3},{2,6},{4,5}} => {{1},{2,3,5},{4,6}} => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 2
{{1,3},{2},{4,5,6}} => {{1},{2,3,5,6},{4}} => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => 1
{{1,3},{2},{4,5},{6}} => {{1},{2,3,5},{4},{6}} => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => 2
{{1,3,6},{2},{4},{5}} => {{1},{2,3},{4,6},{5}} => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 2
{{1,3},{2,6},{4},{5}} => {{1},{2,3},{4},{5,6}} => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 2
{{1,3},{2},{4,6},{5}} => {{1,6},{2,3},{4},{5}} => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 2
{{1,3},{2},{4},{5,6}} => {{1},{2,3,6},{4},{5}} => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => 1
{{1,3},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}} => [[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => 1
{{1,4,5,6},{2,3}} => {{1,3,5,6},{2,4}} => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => 1
{{1,4,5},{2,3,6}} => {{1,3,5},{2,4,6}} => [[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => 1
{{1,4,5},{2,3},{6}} => {{1,3,5},{2,4},{6}} => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 2
{{1,4,6},{2,3,5}} => {{1,3,6},{2,4,5}} => [[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => 1
{{1,4},{2,3,5,6}} => {{1,3},{2,4,5,6}} => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => 1
{{1,4},{2,3,5},{6}} => {{1,3},{2,4,5},{6}} => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => 2
{{1,4,6},{2,3},{5}} => {{1,3},{2,4,6},{5}} => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 2
{{1,4},{2,3,6},{5}} => {{1,3},{2,4},{5,6}} => [[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => 2
{{1,4},{2,3},{5,6}} => {{1,3,6},{2,4},{5}} => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => 2
{{1,4},{2,3},{5},{6}} => {{1,3},{2,4},{5},{6}} => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => 2
{{1,5,6},{2,3,4}} => {{1,3,4,6},{2,5}} => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => 1
{{1,5},{2,3,4,6}} => {{1,3,4},{2,5,6}} => [[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => 1
{{1,5},{2,3,4},{6}} => {{1,3,4},{2,5},{6}} => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => 2
{{1,6},{2,3,4,5}} => {{1,3,4,5},{2,6}} => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => 1
{{1},{2,3,4,5,6}} => {{1,3,4,5,6},{2}} => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => 0
{{1},{2,3,4,5},{6}} => {{1,3,4,5},{2},{6}} => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => 1
{{1,6},{2,3,4},{5}} => {{1,3,4},{2},{5,6}} => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 2
{{1},{2,3,4,6},{5}} => {{1,3,4},{2,6},{5}} => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => 2
{{1},{2,3,4},{5,6}} => {{1,3,4,6},{2},{5}} => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => 1
{{1},{2,3,4},{5},{6}} => {{1,3,4},{2},{5},{6}} => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => 1
{{1,5,6},{2,3},{4}} => {{1,3,6},{2},{4,5}} => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
{{1,5},{2,3,6},{4}} => {{1,3},{2,6},{4,5}} => [[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => 2
{{1,5},{2,3},{4,6}} => {{1,3},{2},{4,5,6}} => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
{{1,5},{2,3},{4},{6}} => {{1,3},{2},{4,5},{6}} => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => 3
{{1,6},{2,3,5},{4}} => {{1,3},{2,5},{4,6}} => [[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => 2
{{1},{2,3,5,6},{4}} => {{1,3,6},{2,5},{4}} => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
{{1},{2,3,5},{4,6}} => {{1,3},{2,5,6},{4}} => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => 2
{{1},{2,3,5},{4},{6}} => {{1,3},{2,5},{4},{6}} => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => 3
{{1,6},{2,3},{4,5}} => {{1,3,5},{2},{4,6}} => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 2
{{1},{2,3,6},{4,5}} => {{1,3,5},{2,6},{4}} => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => 2
{{1},{2,3},{4,5,6}} => {{1,3,5,6},{2},{4}} => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => 1
{{1},{2,3},{4,5},{6}} => {{1,3,5},{2},{4},{6}} => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => 2
{{1,6},{2,3},{4},{5}} => {{1,3},{2},{4},{5,6}} => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 2
{{1},{2,3,6},{4},{5}} => {{1,3},{2},{4,6},{5}} => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 2
{{1},{2,3},{4,6},{5}} => {{1,3},{2,6},{4},{5}} => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => 2
{{1},{2,3},{4},{5,6}} => {{1,3,6},{2},{4},{5}} => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => 1
{{1},{2,3},{4},{5},{6}} => {{1,3},{2},{4},{5},{6}} => [[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => 1
{{1,4,5,6},{2},{3}} => {{1},{2},{3,4,5,6}} => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 0
{{1,4,5},{2,6},{3}} => {{1},{2,6},{3,4,5}} => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 1
{{1,4,5},{2},{3,6}} => {{1,6},{2},{3,4,5}} => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 1
{{1,4,5},{2},{3},{6}} => {{1},{2},{3,4,5},{6}} => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 1
{{1,4,6},{2,5},{3}} => {{1},{2,5},{3,4,6}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 1
{{1,4},{2,5,6},{3}} => {{1},{2,5,6},{3,4}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 1
{{1,4},{2,5},{3,6}} => {{1,6},{2,5},{3,4}} => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => 2
{{1,4},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6}} => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 2
{{1,4,6},{2},{3,5}} => {{1,5},{2},{3,4,6}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 1
{{1,4},{2,6},{3,5}} => {{1,5},{2,6},{3,4}} => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => 2
{{1,4},{2},{3,5,6}} => {{1,5,6},{2},{3,4}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 1
{{1,4},{2},{3,5},{6}} => {{1,5},{2},{3,4},{6}} => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 2
{{1,4,6},{2},{3},{5}} => {{1,6},{2},{3,4},{5}} => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 2
{{1,4},{2,6},{3},{5}} => {{1},{2},{3,4},{5,6}} => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 2
{{1,4},{2},{3,6},{5}} => {{1},{2,6},{3,4},{5}} => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 2
{{1,4},{2},{3},{5,6}} => {{1},{2},{3,4,6},{5}} => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 1
{{1,4},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6}} => [[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => 1
{{1,5,6},{2,4},{3}} => {{1},{2,4,6},{3,5}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 1
{{1,5},{2,4,6},{3}} => {{1},{2,4},{3,5,6}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 1
{{1,5},{2,4},{3,6}} => {{1,6},{2,4},{3,5}} => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => 2
{{1,5},{2,4},{3},{6}} => {{1},{2,4},{3,5},{6}} => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 2
{{1,6},{2,4,5},{3}} => {{1},{2,4,5},{3,6}} => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 1
{{1},{2,4,5,6},{3}} => {{1},{2,4,5,6},{3}} => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 0
{{1},{2,4,5},{3,6}} => {{1,6},{2,4,5},{3}} => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 1
{{1},{2,4,5},{3},{6}} => {{1},{2,4,5},{3},{6}} => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 1
{{1,6},{2,4},{3,5}} => {{1,5},{2,4},{3,6}} => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => 2
{{1},{2,4,6},{3,5}} => {{1,5},{2,4,6},{3}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 1
{{1},{2,4},{3,5,6}} => {{1,5,6},{2,4},{3}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 1
{{1},{2,4},{3,5},{6}} => {{1,5},{2,4},{3},{6}} => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 2
{{1,6},{2,4},{3},{5}} => {{1},{2,4},{3},{5,6}} => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 2
{{1},{2,4,6},{3},{5}} => {{1,6},{2,4},{3},{5}} => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 2
{{1},{2,4},{3,6},{5}} => {{1},{2,4},{3,6},{5}} => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 2
{{1},{2,4},{3},{5,6}} => {{1},{2,4,6},{3},{5}} => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 1
{{1},{2,4},{3},{5},{6}} => {{1},{2,4},{3},{5},{6}} => [[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => 1
{{1,5,6},{2},{3,4}} => {{1,4,6},{2},{3,5}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 1
{{1,5},{2,6},{3,4}} => {{1,4},{2,6},{3,5}} => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => 2
{{1,5},{2},{3,4,6}} => {{1,4},{2},{3,5,6}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 1
{{1,5},{2},{3,4},{6}} => {{1,4},{2},{3,5},{6}} => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 2
{{1,6},{2,5},{3,4}} => {{1,4},{2,5},{3,6}} => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => 2
{{1},{2,5,6},{3,4}} => {{1,4,6},{2,5},{3}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 1
{{1},{2,5},{3,4,6}} => {{1,4},{2,5,6},{3}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => 1
{{1},{2,5},{3,4},{6}} => {{1,4},{2,5},{3},{6}} => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => 2
{{1,6},{2},{3,4,5}} => {{1,4,5},{2},{3,6}} => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 1
{{1},{2,6},{3,4,5}} => {{1,4,5},{2,6},{3}} => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => 1
{{1},{2},{3,4,5,6}} => {{1,4,5,6},{2},{3}} => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => 0
{{1},{2},{3,4,5},{6}} => {{1,4,5},{2},{3},{6}} => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => 1
{{1,6},{2},{3,4},{5}} => {{1,4},{2},{3},{5,6}} => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 2
{{1},{2,6},{3,4},{5}} => {{1,4},{2},{3,6},{5}} => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 2
{{1},{2},{3,4,6},{5}} => {{1,4},{2,6},{3},{5}} => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => 2
{{1},{2},{3,4},{5,6}} => {{1,4,6},{2},{3},{5}} => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => 1
{{1},{2},{3,4},{5},{6}} => {{1,4},{2},{3},{5},{6}} => [[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => 1
{{1,5,6},{2},{3},{4}} => {{1},{2},{3},{4,5,6}} => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 0
{{1,5},{2,6},{3},{4}} => {{1},{2},{3,6},{4,5}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 1
{{1,5},{2},{3,6},{4}} => {{1},{2,6},{3},{4,5}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 1
{{1,5},{2},{3},{4,6}} => {{1,6},{2},{3},{4,5}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 1
{{1,5},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6}} => [[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => 1
{{1,6},{2,5},{3},{4}} => {{1},{2},{3,5},{4,6}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 1
{{1},{2,5,6},{3},{4}} => {{1},{2},{3,5,6},{4}} => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 0
{{1},{2,5},{3,6},{4}} => {{1},{2,6},{3,5},{4}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 1
{{1},{2,5},{3},{4,6}} => {{1,6},{2},{3,5},{4}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 1
{{1},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6}} => [[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => 1
{{1,6},{2},{3,5},{4}} => {{1},{2,5},{3},{4,6}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 1
{{1},{2,6},{3,5},{4}} => {{1},{2,5},{3,6},{4}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 1
{{1},{2},{3,5,6},{4}} => {{1},{2,5,6},{3},{4}} => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 0
{{1},{2},{3,5},{4,6}} => {{1,6},{2,5},{3},{4}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 1
{{1},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6}} => [[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => 1
{{1,6},{2},{3},{4,5}} => {{1,5},{2},{3},{4,6}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 1
{{1},{2,6},{3},{4,5}} => {{1,5},{2},{3,6},{4}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 1
{{1},{2},{3,6},{4,5}} => {{1,5},{2,6},{3},{4}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => 1
{{1},{2},{3},{4,5,6}} => {{1,5,6},{2},{3},{4}} => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => 0
{{1},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4},{6}} => [[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => 1
{{1,6},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6}} => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 0
{{1},{2,6},{3},{4},{5}} => {{1},{2},{3},{4,6},{5}} => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 0
{{1},{2},{3,6},{4},{5}} => {{1},{2},{3,6},{4},{5}} => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 0
{{1},{2},{3},{4,6},{5}} => {{1},{2,6},{3},{4},{5}} => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 0
{{1},{2},{3},{4},{5,6}} => {{1,6},{2},{3},{4},{5}} => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => 0
{{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}} => [[1],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1] => 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}} => {{1,2,3,4,5,6},{7}} => [[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => 1
{{1,2,3,4,5,7},{6}} => {{1,2,3,4,5},{6,7}} => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => 1
{{1,2,3,4,5},{6,7}} => {{1,2,3,4,5,7},{6}} => [[1,2,3,4,5,7],[6]] => [6,1,2,3,4,5,7] => 1
{{1,2,3,4,5},{6},{7}} => {{1,2,3,4,5},{6},{7}} => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => 1
{{1,2,3,4,6,7},{5}} => {{1,2,3,4,7},{5,6}} => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => 1
{{1,2,3,4,6},{5,7}} => {{1,2,3,4},{5,6,7}} => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => 1
{{1,2,3,4,6},{5},{7}} => {{1,2,3,4},{5,6},{7}} => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => 2
{{1,2,3,4},{5,6,7}} => {{1,2,3,4,6,7},{5}} => [[1,2,3,4,6,7],[5]] => [5,1,2,3,4,6,7] => 1
{{1,2,3,4},{5,6},{7}} => {{1,2,3,4,6},{5},{7}} => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => 2
{{1,2,3,4},{5},{6},{7}} => {{1,2,3,4},{5},{6},{7}} => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => 1
{{1,2,3,5,7},{4,6}} => {{1,2,3},{4,5,6,7}} => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 1
{{1,2,3,5},{4,6,7}} => {{1,2,3,7},{4,5,6}} => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => 1
{{1,2,3,5},{4,6},{7}} => {{1,2,3},{4,5,6},{7}} => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => 2
{{1,2,3,5,7},{4},{6}} => {{1,2,3},{4,5,7},{6}} => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => 2
{{1,2,3,5},{4,7},{6}} => {{1,2,3},{4,5},{6,7}} => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => 2
{{1,2,3,5},{4},{6},{7}} => {{1,2,3},{4,5},{6},{7}} => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => 2
{{1,2,3,6,7},{4,5}} => {{1,2,3,5,7},{4,6}} => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => 1
{{1,2,3},{4,5,6,7}} => {{1,2,3,5,6,7},{4}} => [[1,2,3,5,6,7],[4]] => [4,1,2,3,5,6,7] => 1
{{1,2,3},{4,5,6},{7}} => {{1,2,3,5,6},{4},{7}} => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => 2
{{1,2,3,6},{4},{5,7}} => {{1,2,3},{4},{5,6,7}} => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 1
{{1,2,3},{4,6},{5,7}} => {{1,2,3},{4,6,7},{5}} => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => 1
{{1,2,3},{4},{5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => 1
{{1,2,4,5,6,7},{3}} => {{1,2,5,6,7},{3,4}} => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 1
{{1,2,4,5,6},{3},{7}} => {{1,2,5,6},{3,4},{7}} => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 2
{{1,2,4,5,7},{3},{6}} => {{1,2,5},{3,4,7},{6}} => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 2
{{1,2,4,5},{3,7},{6}} => {{1,2,5},{3,4},{6,7}} => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 2
{{1,2,4},{3,5,6,7}} => {{1,2},{3,4,5,6,7}} => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => 1
{{1,2,4},{3,5,6},{7}} => {{1,2},{3,4,5,6},{7}} => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => 2
{{1,2,4,7},{3,5},{6}} => {{1,2},{3,4,5},{6,7}} => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => 2
{{1,2,4},{3,5,7},{6}} => {{1,2,7},{3,4,5},{6}} => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => 2
{{1,2,4,7},{3,6},{5}} => {{1,2},{3,4},{5,6,7}} => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 2
{{1,2,4},{3,6,7},{5}} => {{1,2,7},{3,4},{5,6}} => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 2
{{1,2,4},{3,6},{5,7}} => {{1,2},{3,4,7},{5,6}} => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => 2
{{1,2,4},{3,6},{5},{7}} => {{1,2},{3,4},{5,6},{7}} => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => 3
{{1,2,4,7},{3},{5},{6}} => {{1,2},{3,4},{5,7},{6}} => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 2
{{1,2,4},{3,7},{5},{6}} => {{1,2},{3,4},{5},{6,7}} => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => 2
{{1,2,4},{3},{5},{6},{7}} => {{1,2},{3,4},{5},{6},{7}} => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => 2
{{1,2,5,7},{3,4,6}} => {{1,2,4},{3,5,6,7}} => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 1
{{1,2,5},{3,4,6,7}} => {{1,2,4,7},{3,5,6}} => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => 1
{{1,2,6,7},{3,4,5}} => {{1,2,4,5,7},{3,6}} => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => 1
{{1,2},{3,4,5,6,7}} => {{1,2,4,5,6,7},{3}} => [[1,2,4,5,6,7],[3]] => [3,1,2,4,5,6,7] => 1
{{1,2},{3,4,5,6},{7}} => {{1,2,4,5,6},{3},{7}} => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => 2
{{1,2,6},{3,4},{5,7}} => {{1,2,4},{3},{5,6,7}} => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 2
{{1,2},{3,4,6},{5,7}} => {{1,2,4},{3,6,7},{5}} => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => 2
{{1,2,5},{3,7},{4},{6}} => {{1,2},{3},{4,5},{6,7}} => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 3
{{1,2,5},{3},{4,7},{6}} => {{1,2},{3,7},{4,5},{6}} => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 3
{{1,2,7},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6,7}} => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 3
{{1,2},{3,5},{4,7},{6}} => {{1,2},{3,5},{4,7},{6}} => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => 3
{{1,2},{3},{4},{5},{6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => [[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => 1
{{1,3,4,5,6,7},{2}} => {{1},{2,3,4,5,6,7}} => [[1,3,4,5,6,7],[2]] => [2,1,3,4,5,6,7] => 0
{{1,3,4,5,6},{2,7}} => {{1,7},{2,3,4,5,6}} => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 1
{{1,3,4,5,6},{2},{7}} => {{1},{2,3,4,5,6},{7}} => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 1
{{1,3,4,5,7},{2,6}} => {{1,6,7},{2,3,4,5}} => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 1
{{1,3,4,5},{2,6,7}} => {{1,6},{2,3,4,5,7}} => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 1
{{1,3,4,7},{2,5,6}} => {{1,5,7},{2,3,4,6}} => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 1
{{1,3,4},{2,5,6,7}} => {{1,5},{2,3,4,6,7}} => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 1
{{1,3,4,6},{2},{5,7}} => {{1,6,7},{2,3,4},{5}} => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 2
{{1,3,4},{2,6},{5,7}} => {{1},{2,3,4},{5,6,7}} => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 2
{{1,3,5,6,7},{2,4}} => {{1,4},{2,3,5,6,7}} => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 1
{{1,3},{2,4,5,6,7}} => {{1,4,5,6,7},{2,3}} => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 1
{{1,3,5,6,7},{2},{4}} => {{1,5,6,7},{2,3},{4}} => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 2
{{1,3,5},{2},{4,6,7}} => {{1,5},{2,3,6,7},{4}} => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 2
{{1,3,5},{2,7},{4},{6}} => {{1,5},{2,3},{4},{6,7}} => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 3
{{1,3,5},{2},{4,7},{6}} => {{1,5},{2,3},{4,7},{6}} => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 3
{{1,3},{2,5,6,7},{4}} => {{1},{2,3,6,7},{4,5}} => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 2
{{1,3},{2,5},{4,6,7}} => {{1},{2,3},{4,5,6,7}} => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 2
{{1,3,7},{2,5},{4},{6}} => {{1},{2,3},{4,5},{6,7}} => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 3
{{1,3},{2,5},{4,7},{6}} => {{1,7},{2,3},{4,5},{6}} => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 3
{{1,3},{2},{4,5,6},{7}} => {{1},{2,3,5,6},{4},{7}} => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 2
{{1,4,5,6,7},{2,3}} => {{1,3,5,6,7},{2,4}} => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 1
{{1,4},{2,3,5,6,7}} => {{1,3},{2,4,5,6,7}} => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => 1
{{1,5,6,7},{2,3,4}} => {{1,3,4,6,7},{2,5}} => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => 1
{{1,5,6},{2,3,4,7}} => {{1,3,4,6},{2,5,7}} => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => 1
{{1,6,7},{2,3,4,5}} => {{1,3,4,5,7},{2,6}} => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => 1
{{1,6},{2,3,4,5,7}} => {{1,3,4,5},{2,6,7}} => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => 1
{{1,7},{2,3,4,5,6}} => {{1,3,4,5,6},{2,7}} => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => 1
{{1},{2,3,4,5,6,7}} => {{1,3,4,5,6,7},{2}} => [[1,3,4,5,6,7],[2]] => [2,1,3,4,5,6,7] => 0
{{1},{2,3,4,5,6},{7}} => {{1,3,4,5,6},{2},{7}} => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => 1
{{1,6},{2,3,4},{5,7}} => {{1,3,4},{2},{5,6,7}} => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 2
{{1},{2,3,4,6},{5,7}} => {{1,3,4},{2,6,7},{5}} => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => 2
{{1,5,6,7},{2,3},{4}} => {{1,3,6,7},{2},{4,5}} => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 2
{{1,5},{2,3},{4,6,7}} => {{1,3},{2},{4,5,6,7}} => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 2
{{1,5},{2,3,7},{4},{6}} => {{1,3},{2},{4,5},{6,7}} => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 3
{{1,5},{2,3},{4,7},{6}} => {{1,3},{2,7},{4,5},{6}} => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 3
{{1},{2,3,5,6,7},{4}} => {{1,3,6,7},{2,5},{4}} => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 2
{{1},{2,3,5},{4,6,7}} => {{1,3},{2,5,6,7},{4}} => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => 2
{{1,7},{2,3,5},{4},{6}} => {{1,3},{2,5},{4},{6,7}} => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 3
{{1},{2,3,5},{4,7},{6}} => {{1,3},{2,5},{4,7},{6}} => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => 3
{{1},{2,3},{4,5,6},{7}} => {{1,3,5,6},{2},{4},{7}} => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => 2
{{1,4,5,6,7},{2},{3}} => {{1},{2},{3,4,5,6,7}} => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 0
{{1,4,5,6},{2},{3},{7}} => {{1},{2},{3,4,5,6},{7}} => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 1
{{1,4,6,7},{2},{3},{5}} => {{1,6,7},{2},{3,4},{5}} => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 2
{{1,4,6},{2},{3},{5,7}} => {{1,6},{2},{3,4,7},{5}} => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 2
{{1,4},{2,6,7},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 2
{{1,4},{2,6},{3},{5,7}} => {{1},{2},{3,4},{5,6,7}} => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 2
{{1,4},{2},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}} => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 2
{{1,4},{2},{3,6},{5,7}} => {{1},{2,6},{3,4,7},{5}} => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 2
{{1},{2,4,5,6,7},{3}} => {{1},{2,4,5,6,7},{3}} => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 0
{{1},{2,4,5,6},{3},{7}} => {{1},{2,4,5,6},{3},{7}} => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 1
{{1,6,7},{2,4},{3},{5}} => {{1},{2,4,7},{3},{5,6}} => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 2
{{1,6},{2,4},{3},{5,7}} => {{1},{2,4},{3},{5,6,7}} => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 2
{{1},{2,4,6,7},{3},{5}} => {{1,6,7},{2,4},{3},{5}} => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 2
{{1},{2,4,6},{3},{5,7}} => {{1,6},{2,4,7},{3},{5}} => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 2
{{1},{2,4},{3,6,7},{5}} => {{1},{2,4,7},{3,6},{5}} => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 2
{{1},{2,4},{3,6},{5,7}} => {{1},{2,4},{3,6,7},{5}} => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 2
{{1},{2},{3,4,5,6,7}} => {{1,4,5,6,7},{2},{3}} => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => 0
{{1},{2},{3,4,5,6},{7}} => {{1,4,5,6},{2},{3},{7}} => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => 1
{{1,6,7},{2},{3,4},{5}} => {{1,4,7},{2},{3},{5,6}} => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 2
{{1,6},{2},{3,4},{5,7}} => {{1,4},{2},{3},{5,6,7}} => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 2
{{1},{2,6,7},{3,4},{5}} => {{1,4,7},{2},{3,6},{5}} => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 2
{{1},{2,6},{3,4},{5,7}} => {{1,4},{2},{3,6,7},{5}} => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 2
{{1},{2},{3,4,6,7},{5}} => {{1,4,7},{2,6},{3},{5}} => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 2
{{1},{2},{3,4,6},{5,7}} => {{1,4},{2,6,7},{3},{5}} => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => 2
{{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 0
{{1,5,7},{2},{3},{4},{6}} => {{1,7},{2},{3},{4,5},{6}} => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
{{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5},{6,7}} => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
{{1,5},{2},{3,7},{4},{6}} => {{1},{2},{3,7},{4,5},{6}} => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
{{1,5},{2},{3},{4,7},{6}} => {{1},{2,7},{3},{4,5},{6}} => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
{{1},{2,5,6,7},{3},{4}} => {{1},{2},{3,5,6,7},{4}} => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 0
{{1,7},{2,5},{3},{4},{6}} => {{1},{2},{3,5},{4},{6,7}} => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
{{1},{2,5,7},{3},{4},{6}} => {{1,7},{2},{3,5},{4},{6}} => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
{{1},{2,5},{3,7},{4},{6}} => {{1},{2},{3,5},{4,7},{6}} => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
{{1},{2,5},{3},{4,7},{6}} => {{1},{2,7},{3,5},{4},{6}} => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
{{1},{2},{3,5,6,7},{4}} => {{1},{2,5,6,7},{3},{4}} => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 0
{{1,7},{2},{3,5},{4},{6}} => {{1},{2,5},{3},{4},{6,7}} => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
{{1},{2,7},{3,5},{4},{6}} => {{1},{2,5},{3},{4,7},{6}} => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
{{1},{2},{3,5,7},{4},{6}} => {{1,7},{2,5},{3},{4},{6}} => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
{{1},{2},{3,5},{4,7},{6}} => {{1},{2,5},{3,7},{4},{6}} => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
{{1},{2},{3},{4,5,6,7}} => {{1,5,6,7},{2},{3},{4}} => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => 0
{{1,7},{2},{3},{4,5},{6}} => {{1,5},{2},{3},{4},{6,7}} => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
{{1},{2,7},{3},{4,5},{6}} => {{1,5},{2},{3},{4,7},{6}} => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
{{1},{2},{3,7},{4,5},{6}} => {{1,5},{2},{3,7},{4},{6}} => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
{{1},{2},{3},{4,5,7},{6}} => {{1,5},{2,7},{3},{4},{6}} => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => 2
{{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7}} => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 0
{{1},{2,6,7},{3},{4},{5}} => {{1},{2},{3},{4,6,7},{5}} => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 0
{{1},{2},{3,6,7},{4},{5}} => {{1},{2},{3,6,7},{4},{5}} => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 0
{{1},{2},{3},{4,6,7},{5}} => {{1},{2,6,7},{3},{4},{5}} => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 0
{{1},{2},{3},{4},{5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => 0
{{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}} => [[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => 0
{{1},{2,7},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,7},{6}} => [[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => 0
{{1},{2},{3,7},{4},{5},{6}} => {{1},{2},{3},{4,7},{5},{6}} => [[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => 0
{{1},{2},{3},{4,7},{5},{6}} => {{1},{2},{3,7},{4},{5},{6}} => [[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => 0
{{1},{2},{3},{4},{5,7},{6}} => {{1},{2,7},{3},{4},{5},{6}} => [[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => 0
{{1},{2},{3},{4},{5},{6,7}} => {{1,7},{2},{3},{4},{5},{6}} => [[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => 0
{{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}} => [[1],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1] => 0
{{1,3},{2,5},{4,7},{6,8}} => {{1,7},{2,3,8},{4,5},{6}} => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 3
{{1,5},{2,3},{4,7},{6,8}} => {{1,3},{2,7,8},{4,5},{6}} => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 3
{{1},{2},{3},{4,5,6,7,8}} => {{1,5,6,7,8},{2},{3},{4}} => [[1,5,6,7,8],[2],[3],[4]] => [4,3,2,1,5,6,7,8] => 0
{{1},{2,3},{4,5},{6,7},{8}} => {{1,3,5,7},{2},{4},{6},{8}} => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => 3
{{1,2},{3},{4,5,6,8},{7}} => {{1,2,5,6},{3,8},{4},{7}} => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 2
{{1,2},{3,8},{4,5,6},{7}} => {{1,2,5,6},{3},{4,8},{7}} => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => 2
{{1,6,7,8},{2},{3,4},{5}} => {{1,4,7,8},{2},{3},{5,6}} => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => 2
{{1,2,4,8},{3,6},{5},{7}} => {{1,2},{3,4},{5,6},{7,8}} => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => 3
{{1,3,5},{2},{4,7},{6,8}} => {{1,5},{2,3,8},{4,7},{6}} => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 3
{{1,3,5},{2,7},{4},{6,8}} => {{1,5},{2,3,8},{4},{6,7}} => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 3
{{1,3},{2,5,8},{4,7},{6}} => {{1,7},{2,3},{4,5,8},{6}} => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 3
{{1,5},{2,3,7,8},{4},{6}} => {{1,3,8},{2},{4,5},{6,7}} => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 3
{{1},{2,3},{4,7},{5,6,8}} => {{1,3,6},{2,7,8},{4},{5}} => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => 2
{{1},{2,3,5},{4,7,8},{6}} => {{1,3,8},{2,5},{4,7},{6}} => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => 3
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Description
The number of big descents of a permutation.
For a permutation $\pi$, this is the number of indices $i$ such that $\pi(i)-\pi(i+1) > 1$.
The generating functions of big descents is equal to the generating function of (normal) descents after sending a permutation from cycle to one-line notation Mp00090cycle-as-one-line notation, see [Theorem 2.5, 1].
For the number of small descents, see St000214The number of adjacencies of a permutation..
Map
Yip
Description
A transformation of set partitions due to Yip.
Return the set partition of $\{1,...,n\}$ corresponding to the set of arcs, interpreted as a rook placement, applying Yip's bijection $\psi$.
Map
reading word permutation
Description
Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottom-most row in English notation.
Map
Standard tableau associated to a set partition
Description
Sends a set partition to the associated standard tableau.
The $j$th column of the standard tableau associated to a set partition is the set of $j$th smallest elements of its blocks arranged in increassing order.