Identifier
Values
[[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
[[1,3],[2]] => {{1,3},{2}} => {{1},{2,3}} => [1,3,2] => 1
[[1,2],[3]] => {{1,2},{3}} => {{1,2},{3}} => [2,1,3] => 0
[[1],[2],[3]] => {{1},{2},{3}} => {{1,2,3}} => [2,3,1] => 0
[[1,2,3,4]] => {{1,2,3,4}} => {{1},{2},{3},{4}} => [1,2,3,4] => 0
[[1,3,4],[2]] => {{1,3,4},{2}} => {{1},{2},{3,4}} => [1,2,4,3] => 2
[[1,2,4],[3]] => {{1,2,4},{3}} => {{1},{2,3},{4}} => [1,3,2,4] => 1
[[1,2,3],[4]] => {{1,2,3},{4}} => {{1,2},{3},{4}} => [2,1,3,4] => 0
[[1,3],[2,4]] => {{1,3},{2,4}} => {{1,3},{2,4}} => [3,4,1,2] => 0
[[1,2],[3,4]] => {{1,2},{3,4}} => {{1,3},{2},{4}} => [3,2,1,4] => 2
[[1,4],[2],[3]] => {{1,4},{2},{3}} => {{1},{2,3,4}} => [1,3,4,2] => 1
[[1,3],[2],[4]] => {{1,3},{2},{4}} => {{1,2},{3,4}} => [2,1,4,3] => 2
[[1,2],[3],[4]] => {{1,2},{3},{4}} => {{1,2,3},{4}} => [2,3,1,4] => 0
[[1],[2],[3],[4]] => {{1},{2},{3},{4}} => {{1,2,3,4}} => [2,3,4,1] => 0
[[1,2,3,4,5]] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => [1,2,3,4,5] => 0
[[1,3,4,5],[2]] => {{1,3,4,5},{2}} => {{1},{2},{3},{4,5}} => [1,2,3,5,4] => 3
[[1,2,4,5],[3]] => {{1,2,4,5},{3}} => {{1},{2},{3,4},{5}} => [1,2,4,3,5] => 2
[[1,2,3,5],[4]] => {{1,2,3,5},{4}} => {{1},{2,3},{4},{5}} => [1,3,2,4,5] => 1
[[1,2,3,4],[5]] => {{1,2,3,4},{5}} => {{1,2},{3},{4},{5}} => [2,1,3,4,5] => 0
[[1,3,5],[2,4]] => {{1,3,5},{2,4}} => {{1},{2,4},{3,5}} => [1,4,5,2,3] => 1
[[1,2,5],[3,4]] => {{1,2,5},{3,4}} => {{1},{2,4},{3},{5}} => [1,4,3,2,5] => 4
[[1,3,4],[2,5]] => {{1,3,4},{2,5}} => {{1,4},{2,5},{3}} => [4,5,3,1,2] => 3
[[1,2,4],[3,5]] => {{1,2,4},{3,5}} => {{1,3},{2,4},{5}} => [3,4,1,2,5] => 0
[[1,2,3],[4,5]] => {{1,2,3},{4,5}} => {{1,3},{2},{4},{5}} => [3,2,1,4,5] => 2
[[1,4,5],[2],[3]] => {{1,4,5},{2},{3}} => {{1},{2},{3,4,5}} => [1,2,4,5,3] => 2
[[1,3,5],[2],[4]] => {{1,3,5},{2},{4}} => {{1},{2,3},{4,5}} => [1,3,2,5,4] => 4
[[1,2,5],[3],[4]] => {{1,2,5},{3},{4}} => {{1},{2,3,4},{5}} => [1,3,4,2,5] => 1
[[1,3,4],[2],[5]] => {{1,3,4},{2},{5}} => {{1,2},{3},{4,5}} => [2,1,3,5,4] => 3
[[1,2,4],[3],[5]] => {{1,2,4},{3},{5}} => {{1,2},{3,4},{5}} => [2,1,4,3,5] => 2
[[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => {{1,2,3},{4},{5}} => [2,3,1,4,5] => 0
[[1,4],[2,5],[3]] => {{1,4},{2,5},{3}} => {{1,3,4},{2,5}} => [3,5,4,1,2] => 2
[[1,3],[2,5],[4]] => {{1,3},{2,5},{4}} => {{1,4},{2,3,5}} => [4,3,5,1,2] => 1
[[1,2],[3,5],[4]] => {{1,2},{3,5},{4}} => {{1,4},{2,3},{5}} => [4,3,2,1,5] => 4
[[1,3],[2,4],[5]] => {{1,3},{2,4},{5}} => {{1,2,4},{3,5}} => [2,4,5,1,3] => 0
[[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => {{1,2,4},{3},{5}} => [2,4,3,1,5] => 3
[[1,5],[2],[3],[4]] => {{1,5},{2},{3},{4}} => {{1},{2,3,4,5}} => [1,3,4,5,2] => 1
[[1,4],[2],[3],[5]] => {{1,4},{2},{3},{5}} => {{1,2},{3,4,5}} => [2,1,4,5,3] => 2
[[1,3],[2],[4],[5]] => {{1,3},{2},{4},{5}} => {{1,2,3},{4,5}} => [2,3,1,5,4] => 3
[[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => {{1,2,3,4},{5}} => [2,3,4,1,5] => 0
[[1],[2],[3],[4],[5]] => {{1},{2},{3},{4},{5}} => {{1,2,3,4,5}} => [2,3,4,5,1] => 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
[[1,3,4,5,6],[2]] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => [1,2,3,4,6,5] => 4
[[1,2,4,5,6],[3]] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => [1,2,3,5,4,6] => 3
[[1,2,3,5,6],[4]] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => [1,2,4,3,5,6] => 2
[[1,2,3,4,6],[5]] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => [1,3,2,4,5,6] => 1
[[1,2,3,4,5],[6]] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => [2,1,3,4,5,6] => 0
[[1,3,5,6],[2,4]] => {{1,3,5,6},{2,4}} => {{1},{2},{3,5},{4,6}} => [1,2,5,6,3,4] => 2
[[1,2,5,6],[3,4]] => {{1,2,5,6},{3,4}} => {{1},{2},{3,5},{4},{6}} => [1,2,5,4,3,6] => 6
[[1,3,4,6],[2,5]] => {{1,3,4,6},{2,5}} => {{1},{2,5},{3,6},{4}} => [1,5,6,4,2,3] => 5
[[1,2,4,6],[3,5]] => {{1,2,4,6},{3,5}} => {{1},{2,4},{3,5},{6}} => [1,4,5,2,3,6] => 1
[[1,2,3,6],[4,5]] => {{1,2,3,6},{4,5}} => {{1},{2,4},{3},{5},{6}} => [1,4,3,2,5,6] => 4
[[1,3,4,5],[2,6]] => {{1,3,4,5},{2,6}} => {{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => 4
[[1,2,4,5],[3,6]] => {{1,2,4,5},{3,6}} => {{1,4},{2,5},{3},{6}} => [4,5,3,1,2,6] => 3
[[1,2,3,5],[4,6]] => {{1,2,3,5},{4,6}} => {{1,3},{2,4},{5},{6}} => [3,4,1,2,5,6] => 0
[[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => {{1,3},{2},{4},{5},{6}} => [3,2,1,4,5,6] => 2
[[1,4,5,6],[2],[3]] => {{1,4,5,6},{2},{3}} => {{1},{2},{3},{4,5,6}} => [1,2,3,5,6,4] => 3
[[1,3,5,6],[2],[4]] => {{1,3,5,6},{2},{4}} => {{1},{2},{3,4},{5,6}} => [1,2,4,3,6,5] => 6
[[1,2,5,6],[3],[4]] => {{1,2,5,6},{3},{4}} => {{1},{2},{3,4,5},{6}} => [1,2,4,5,3,6] => 2
[[1,3,4,6],[2],[5]] => {{1,3,4,6},{2},{5}} => {{1},{2,3},{4},{5,6}} => [1,3,2,4,6,5] => 5
[[1,2,4,6],[3],[5]] => {{1,2,4,6},{3},{5}} => {{1},{2,3},{4,5},{6}} => [1,3,2,5,4,6] => 4
[[1,2,3,6],[4],[5]] => {{1,2,3,6},{4},{5}} => {{1},{2,3,4},{5},{6}} => [1,3,4,2,5,6] => 1
[[1,3,4,5],[2],[6]] => {{1,3,4,5},{2},{6}} => {{1,2},{3},{4},{5,6}} => [2,1,3,4,6,5] => 4
[[1,2,4,5],[3],[6]] => {{1,2,4,5},{3},{6}} => {{1,2},{3},{4,5},{6}} => [2,1,3,5,4,6] => 3
[[1,2,3,5],[4],[6]] => {{1,2,3,5},{4},{6}} => {{1,2},{3,4},{5},{6}} => [2,1,4,3,5,6] => 2
[[1,2,3,4],[5],[6]] => {{1,2,3,4},{5},{6}} => {{1,2,3},{4},{5},{6}} => [2,3,1,4,5,6] => 0
[[1,3,5],[2,4,6]] => {{1,3,5},{2,4,6}} => {{1,3,5},{2,4,6}} => [3,4,5,6,1,2] => 0
[[1,2,5],[3,4,6]] => {{1,2,5},{3,4,6}} => {{1,3},{2,5},{4},{6}} => [3,5,1,4,2,6] => 4
[[1,3,4],[2,5,6]] => {{1,3,4},{2,5,6}} => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 6
[[1,2,4],[3,5,6]] => {{1,2,4},{3,5,6}} => {{1,4},{2},{3,5},{6}} => [4,2,5,1,3,6] => 2
[[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => {{1,4},{2},{3},{5},{6}} => [4,2,3,1,5,6] => 3
[[1,4,6],[2,5],[3]] => {{1,4,6},{2,5},{3}} => {{1},{2,4,5},{3,6}} => [1,4,6,5,2,3] => 4
[[1,3,6],[2,5],[4]] => {{1,3,6},{2,5},{4}} => {{1},{2,5},{3,4,6}} => [1,5,4,6,2,3] => 3
[[1,2,6],[3,5],[4]] => {{1,2,6},{3,5},{4}} => {{1},{2,5},{3,4},{6}} => [1,5,4,3,2,6] => 7
[[1,3,6],[2,4],[5]] => {{1,3,6},{2,4},{5}} => {{1},{2,3,5},{4,6}} => [1,3,5,6,2,4] => 1
[[1,2,6],[3,4],[5]] => {{1,2,6},{3,4},{5}} => {{1},{2,3,5},{4},{6}} => [1,3,5,4,2,6] => 5
[[1,4,5],[2,6],[3]] => {{1,4,5},{2,6},{3}} => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 3
[[1,3,5],[2,6],[4]] => {{1,3,5},{2,6},{4}} => {{1,5},{2,6},{3,4}} => [5,6,4,3,1,2] => 6
[[1,2,5],[3,6],[4]] => {{1,2,5},{3,6},{4}} => {{1,3,4},{2,5},{6}} => [3,5,4,1,2,6] => 2
[[1,3,4],[2,6],[5]] => {{1,3,4},{2,6},{5}} => {{1,5},{2,3,6},{4}} => [5,3,6,4,1,2] => 5
[[1,2,4],[3,6],[5]] => {{1,2,4},{3,6},{5}} => {{1,4},{2,3,5},{6}} => [4,3,5,1,2,6] => 1
[[1,2,3],[4,6],[5]] => {{1,2,3},{4,6},{5}} => {{1,4},{2,3},{5},{6}} => [4,3,2,1,5,6] => 4
[[1,3,5],[2,4],[6]] => {{1,3,5},{2,4},{6}} => {{1,2},{3,5},{4,6}} => [2,1,5,6,3,4] => 2
[[1,2,5],[3,4],[6]] => {{1,2,5},{3,4},{6}} => {{1,2},{3,5},{4},{6}} => [2,1,5,4,3,6] => 6
[[1,3,4],[2,5],[6]] => {{1,3,4},{2,5},{6}} => {{1,2,5},{3,6},{4}} => [2,5,6,4,1,3] => 4
[[1,2,4],[3,5],[6]] => {{1,2,4},{3,5},{6}} => {{1,2,4},{3,5},{6}} => [2,4,5,1,3,6] => 0
[[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => {{1,2,4},{3},{5},{6}} => [2,4,3,1,5,6] => 3
[[1,5,6],[2],[3],[4]] => {{1,5,6},{2},{3},{4}} => {{1},{2},{3,4,5,6}} => [1,2,4,5,6,3] => 2
[[1,4,6],[2],[3],[5]] => {{1,4,6},{2},{3},{5}} => {{1},{2,3},{4,5,6}} => [1,3,2,5,6,4] => 4
[[1,3,6],[2],[4],[5]] => {{1,3,6},{2},{4},{5}} => {{1},{2,3,4},{5,6}} => [1,3,4,2,6,5] => 5
[[1,2,6],[3],[4],[5]] => {{1,2,6},{3},{4},{5}} => {{1},{2,3,4,5},{6}} => [1,3,4,5,2,6] => 1
[[1,4,5],[2],[3],[6]] => {{1,4,5},{2},{3},{6}} => {{1,2},{3},{4,5,6}} => [2,1,3,5,6,4] => 3
[[1,3,5],[2],[4],[6]] => {{1,3,5},{2},{4},{6}} => {{1,2},{3,4},{5,6}} => [2,1,4,3,6,5] => 6
[[1,2,5],[3],[4],[6]] => {{1,2,5},{3},{4},{6}} => {{1,2},{3,4,5},{6}} => [2,1,4,5,3,6] => 2
[[1,3,4],[2],[5],[6]] => {{1,3,4},{2},{5},{6}} => {{1,2,3},{4},{5,6}} => [2,3,1,4,6,5] => 4
[[1,2,4],[3],[5],[6]] => {{1,2,4},{3},{5},{6}} => {{1,2,3},{4,5},{6}} => [2,3,1,5,4,6] => 3
[[1,2,3],[4],[5],[6]] => {{1,2,3},{4},{5},{6}} => {{1,2,3,4},{5},{6}} => [2,3,4,1,5,6] => 0
[[1,4],[2,5],[3,6]] => {{1,4},{2,5},{3,6}} => {{1,4},{2,5},{3,6}} => [4,5,6,1,2,3] => 0
[[1,3],[2,5],[4,6]] => {{1,3},{2,5},{4,6}} => {{1,3},{2,5},{4,6}} => [3,5,1,6,2,4] => 3
[[1,2],[3,5],[4,6]] => {{1,2},{3,5},{4,6}} => {{1,3,5},{2,4},{6}} => [3,4,5,2,1,6] => 4
>>> Load all 179 entries. <<<
[[1,3],[2,4],[5,6]] => {{1,3},{2,4},{5,6}} => {{1,3,5},{2},{4,6}} => [3,2,5,6,1,4] => 2
[[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => {{1,3,5},{2},{4},{6}} => [3,2,5,4,1,6] => 6
[[1,5],[2,6],[3],[4]] => {{1,5},{2,6},{3},{4}} => {{1,3,4,5},{2,6}} => [3,6,4,5,1,2] => 2
[[1,4],[2,6],[3],[5]] => {{1,4},{2,6},{3},{5}} => {{1,4,5},{2,3,6}} => [4,3,6,5,1,2] => 4
[[1,3],[2,6],[4],[5]] => {{1,3},{2,6},{4},{5}} => {{1,5},{2,3,4,6}} => [5,3,4,6,1,2] => 1
[[1,2],[3,6],[4],[5]] => {{1,2},{3,6},{4},{5}} => {{1,5},{2,3,4},{6}} => [5,3,4,2,1,6] => 5
[[1,4],[2,5],[3],[6]] => {{1,4},{2,5},{3},{6}} => {{1,2,4,5},{3,6}} => [2,4,6,5,1,3] => 3
[[1,3],[2,5],[4],[6]] => {{1,3},{2,5},{4},{6}} => {{1,2,5},{3,4,6}} => [2,5,4,6,1,3] => 2
[[1,2],[3,5],[4],[6]] => {{1,2},{3,5},{4},{6}} => {{1,2,5},{3,4},{6}} => [2,5,4,3,1,6] => 6
[[1,3],[2,4],[5],[6]] => {{1,3},{2,4},{5},{6}} => {{1,2,3,5},{4,6}} => [2,3,5,6,1,4] => 0
[[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => {{1,2,3,5},{4},{6}} => [2,3,5,4,1,6] => 4
[[1,6],[2],[3],[4],[5]] => {{1,6},{2},{3},{4},{5}} => {{1},{2,3,4,5,6}} => [1,3,4,5,6,2] => 1
[[1,5],[2],[3],[4],[6]] => {{1,5},{2},{3},{4},{6}} => {{1,2},{3,4,5,6}} => [2,1,4,5,6,3] => 2
[[1,4],[2],[3],[5],[6]] => {{1,4},{2},{3},{5},{6}} => {{1,2,3},{4,5,6}} => [2,3,1,5,6,4] => 3
[[1,3],[2],[4],[5],[6]] => {{1,3},{2},{4},{5},{6}} => {{1,2,3,4},{5,6}} => [2,3,4,1,6,5] => 4
[[1,2],[3],[4],[5],[6]] => {{1,2},{3},{4},{5},{6}} => {{1,2,3,4,5},{6}} => [2,3,4,5,1,6] => 0
[[1],[2],[3],[4],[5],[6]] => {{1},{2},{3},{4},{5},{6}} => {{1,2,3,4,5,6}} => [2,3,4,5,6,1] => 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
[[1,3,4,5,6,7],[2]] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => [1,2,3,4,5,7,6] => 5
[[1,2,4,5,6,7],[3]] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => [1,2,3,4,6,5,7] => 4
[[1,2,3,5,6,7],[4]] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => [1,2,3,5,4,6,7] => 3
[[1,2,3,4,6,7],[5]] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => [1,2,4,3,5,6,7] => 2
[[1,2,3,4,5,7],[6]] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => [1,3,2,4,5,6,7] => 1
[[1,3,5,6,7],[2,4]] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => [1,2,3,6,7,4,5] => 3
[[1,2,5,6,7],[3,4]] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => [1,2,3,6,5,4,7] => 8
[[1,3,4,6,7],[2,5]] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => [1,2,6,7,5,3,4] => 7
[[1,2,4,6,7],[3,5]] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => [1,2,5,6,3,4,7] => 2
[[1,2,3,6,7],[4,5]] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => [1,2,5,4,3,6,7] => 6
[[1,2,3,5,7],[4,6]] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => [1,4,5,2,3,6,7] => 1
[[1,2,3,4,7],[5,6]] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => [1,4,3,2,5,6,7] => 4
[[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => [1,2,3,4,6,7,5] => 4
[[1,3,5,6,7],[2],[4]] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => [1,2,3,5,4,7,6] => 8
[[1,2,5,6,7],[3],[4]] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => [1,2,3,5,6,4,7] => 3
[[1,3,4,6,7],[2],[5]] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => [1,2,4,3,5,7,6] => 7
[[1,2,4,6,7],[3],[5]] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => [1,2,4,3,6,5,7] => 6
[[1,2,3,6,7],[4],[5]] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => [1,2,4,5,3,6,7] => 2
[[1,3,4,5,7],[2],[6]] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => [1,3,2,4,5,7,6] => 6
[[1,2,4,5,7],[3],[6]] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => [1,3,2,4,6,5,7] => 5
[[1,2,3,5,7],[4],[6]] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => [1,3,2,5,4,6,7] => 4
[[1,2,3,4,7],[5],[6]] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => [1,3,4,2,5,6,7] => 1
[[1,3,5,7],[2,4,6]] => {{1,3,5,7},{2,4,6}} => {{1},{2,4,6},{3,5,7}} => [1,4,5,6,7,2,3] => 1
[[1,2,5,7],[3,4,6]] => {{1,2,5,7},{3,4,6}} => {{1},{2,4},{3,6},{5},{7}} => [1,4,6,2,5,3,7] => 6
[[1,4,6,7],[2,5],[3]] => {{1,4,6,7},{2,5},{3}} => {{1},{2},{3,5,6},{4,7}} => [1,2,5,7,6,3,4] => 6
[[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => {{1},{2},{3,6},{4,5,7}} => [1,2,6,5,7,3,4] => 5
[[1,2,6,7],[3,5],[4]] => {{1,2,6,7},{3,5},{4}} => {{1},{2},{3,6},{4,5},{7}} => [1,2,6,5,4,3,7] => 10
[[1,3,6,7],[2,4],[5]] => {{1,3,6,7},{2,4},{5}} => {{1},{2},{3,4,6},{5,7}} => [1,2,4,6,7,3,5] => 2
[[1,2,6,7],[3,4],[5]] => {{1,2,6,7},{3,4},{5}} => {{1},{2},{3,4,6},{5},{7}} => [1,2,4,6,5,3,7] => 7
[[1,2,5,7],[3,6],[4]] => {{1,2,5,7},{3,6},{4}} => {{1},{2,4,5},{3,6},{7}} => [1,4,6,5,2,3,7] => 4
[[1,3,5,7],[2,4],[6]] => {{1,3,5,7},{2,4},{6}} => {{1},{2,3},{4,6},{5,7}} => [1,3,2,6,7,4,5] => 4
[[1,2,5,7],[3,4],[6]] => {{1,2,5,7},{3,4},{6}} => {{1},{2,3},{4,6},{5},{7}} => [1,3,2,6,5,4,7] => 9
[[1,3,4,7],[2,5],[6]] => {{1,3,4,7},{2,5},{6}} => {{1},{2,3,6},{4,7},{5}} => [1,3,6,7,5,2,4] => 6
[[1,2,4,7],[3,5],[6]] => {{1,2,4,7},{3,5},{6}} => {{1},{2,3,5},{4,6},{7}} => [1,3,5,6,2,4,7] => 1
[[1,2,3,7],[4,5],[6]] => {{1,2,3,7},{4,5},{6}} => {{1},{2,3,5},{4},{6},{7}} => [1,3,5,4,2,6,7] => 5
[[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => [1,2,3,5,6,7,4] => 3
[[1,4,6,7],[2],[3],[5]] => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => [1,2,4,3,6,7,5] => 6
[[1,3,6,7],[2],[4],[5]] => {{1,3,6,7},{2},{4},{5}} => {{1},{2},{3,4,5},{6,7}} => [1,2,4,5,3,7,6] => 7
[[1,2,6,7],[3],[4],[5]] => {{1,2,6,7},{3},{4},{5}} => {{1},{2},{3,4,5,6},{7}} => [1,2,4,5,6,3,7] => 2
[[1,4,5,7],[2],[3],[6]] => {{1,4,5,7},{2},{3},{6}} => {{1},{2,3},{4},{5,6,7}} => [1,3,2,4,6,7,5] => 5
[[1,3,5,7],[2],[4],[6]] => {{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}} => [1,3,2,5,4,7,6] => 9
[[1,2,5,7],[3],[4],[6]] => {{1,2,5,7},{3},{4},{6}} => {{1},{2,3},{4,5,6},{7}} => [1,3,2,5,6,4,7] => 4
[[1,3,4,7],[2],[5],[6]] => {{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}} => [1,3,4,2,5,7,6] => 6
[[1,2,4,7],[3],[5],[6]] => {{1,2,4,7},{3},{5},{6}} => {{1},{2,3,4},{5,6},{7}} => [1,3,4,2,6,5,7] => 5
[[1,2,3,7],[4],[5],[6]] => {{1,2,3,7},{4},{5},{6}} => {{1},{2,3,4,5},{6},{7}} => [1,3,4,5,2,6,7] => 1
[[1,3,7],[2,5],[4,6]] => {{1,3,7},{2,5},{4,6}} => {{1},{2,4},{3,6},{5,7}} => [1,4,6,2,7,3,5] => 5
[[1,2,7],[3,5],[4,6]] => {{1,2,7},{3,5},{4,6}} => {{1},{2,4,6},{3,5},{7}} => [1,4,5,6,3,2,7] => 6
[[1,3,7],[2,4],[5,6]] => {{1,3,7},{2,4},{5,6}} => {{1},{2,4,6},{3},{5,7}} => [1,4,3,6,7,2,5] => 4
[[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => {{1},{2,4,6},{3},{5},{7}} => [1,4,3,6,5,2,7] => 9
[[1,4,7],[2,5],[3],[6]] => {{1,4,7},{2,5},{3},{6}} => {{1},{2,3,5,6},{4,7}} => [1,3,5,7,6,2,4] => 5
[[1,3,7],[2,5],[4],[6]] => {{1,3,7},{2,5},{4},{6}} => {{1},{2,3,6},{4,5,7}} => [1,3,6,5,7,2,4] => 4
[[1,2,7],[3,5],[4],[6]] => {{1,2,7},{3,5},{4},{6}} => {{1},{2,3,6},{4,5},{7}} => [1,3,6,5,4,2,7] => 9
[[1,3,7],[2,4],[5],[6]] => {{1,3,7},{2,4},{5},{6}} => {{1},{2,3,4,6},{5,7}} => [1,3,4,6,7,2,5] => 1
[[1,2,7],[3,4],[5],[6]] => {{1,2,7},{3,4},{5},{6}} => {{1},{2,3,4,6},{5},{7}} => [1,3,4,6,5,2,7] => 6
[[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3,4,5,6,7}} => [1,2,4,5,6,7,3] => 2
[[1,5,7],[2],[3],[4],[6]] => {{1,5,7},{2},{3},{4},{6}} => {{1},{2,3},{4,5,6,7}} => [1,3,2,5,6,7,4] => 4
[[1,4,7],[2],[3],[5],[6]] => {{1,4,7},{2},{3},{5},{6}} => {{1},{2,3,4},{5,6,7}} => [1,3,4,2,6,7,5] => 5
[[1,3,7],[2],[4],[5],[6]] => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3,4,5},{6,7}} => [1,3,4,5,2,7,6] => 6
[[1,2,7],[3],[4],[5],[6]] => {{1,2,7},{3},{4},{5},{6}} => {{1},{2,3,4,5,6},{7}} => [1,3,4,5,6,2,7] => 1
[[1,7],[2],[3],[4],[5],[6]] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2,3,4,5,6,7}} => [1,3,4,5,6,7,2] => 1
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Description
The major index minus the number of excedences of a permutation.
This occurs in the context of Eulerian polynomials [1].
Map
conjugate
Description
The conjugate of a set partition.
This is an involution exchanging singletons and circular adjacencies due to [1].
Map
rows
Description
The set partition whose blocks are the rows of the tableau.
Map
to permutation
Description
Sends the set partition to the permutation obtained by considering the blocks as increasing cycles.