Identifier
Values
{{1}} => [[1]] => [1] => [1] => 1
{{1,2}} => [[1,2]] => [1,2] => [2,1] => 1
{{1},{2}} => [[1],[2]] => [2,1] => [1,2] => 2
{{1,2,3}} => [[1,2,3]] => [1,2,3] => [3,2,1] => 1
{{1,2},{3}} => [[1,2],[3]] => [3,1,2] => [2,1,3] => 3
{{1,3},{2}} => [[1,3],[2]] => [2,1,3] => [3,1,2] => 2
{{1},{2,3}} => [[1,3],[2]] => [2,1,3] => [3,1,2] => 2
{{1},{2},{3}} => [[1],[2],[3]] => [3,2,1] => [1,2,3] => 3
{{1,2,3,4}} => [[1,2,3,4]] => [1,2,3,4] => [4,3,2,1] => 1
{{1,2,3},{4}} => [[1,2,3],[4]] => [4,1,2,3] => [3,2,1,4] => 4
{{1,2,4},{3}} => [[1,2,4],[3]] => [3,1,2,4] => [4,2,1,3] => 3
{{1,2},{3,4}} => [[1,2],[3,4]] => [3,4,1,2] => [2,1,4,3] => 3
{{1,2},{3},{4}} => [[1,2],[3],[4]] => [4,3,1,2] => [2,1,3,4] => 4
{{1,3,4},{2}} => [[1,3,4],[2]] => [2,1,3,4] => [4,3,1,2] => 2
{{1,3},{2,4}} => [[1,3],[2,4]] => [2,4,1,3] => [3,1,4,2] => 2
{{1,3},{2},{4}} => [[1,3],[2],[4]] => [4,2,1,3] => [3,1,2,4] => 4
{{1,4},{2,3}} => [[1,3],[2,4]] => [2,4,1,3] => [3,1,4,2] => 2
{{1},{2,3,4}} => [[1,3,4],[2]] => [2,1,3,4] => [4,3,1,2] => 2
{{1},{2,3},{4}} => [[1,3],[2],[4]] => [4,2,1,3] => [3,1,2,4] => 4
{{1,4},{2},{3}} => [[1,4],[2],[3]] => [3,2,1,4] => [4,1,2,3] => 3
{{1},{2,4},{3}} => [[1,4],[2],[3]] => [3,2,1,4] => [4,1,2,3] => 3
{{1},{2},{3,4}} => [[1,4],[2],[3]] => [3,2,1,4] => [4,1,2,3] => 3
{{1},{2},{3},{4}} => [[1],[2],[3],[4]] => [4,3,2,1] => [1,2,3,4] => 4
{{1,2,3,4,5}} => [[1,2,3,4,5]] => [1,2,3,4,5] => [5,4,3,2,1] => 1
{{1,2,3,4},{5}} => [[1,2,3,4],[5]] => [5,1,2,3,4] => [4,3,2,1,5] => 5
{{1,2,3,5},{4}} => [[1,2,3,5],[4]] => [4,1,2,3,5] => [5,3,2,1,4] => 4
{{1,2,3},{4,5}} => [[1,2,3],[4,5]] => [4,5,1,2,3] => [3,2,1,5,4] => 4
{{1,2,3},{4},{5}} => [[1,2,3],[4],[5]] => [5,4,1,2,3] => [3,2,1,4,5] => 5
{{1,2,4,5},{3}} => [[1,2,4,5],[3]] => [3,1,2,4,5] => [5,4,2,1,3] => 3
{{1,2,4},{3,5}} => [[1,2,4],[3,5]] => [3,5,1,2,4] => [4,2,1,5,3] => 3
{{1,2,4},{3},{5}} => [[1,2,4],[3],[5]] => [5,3,1,2,4] => [4,2,1,3,5] => 5
{{1,2,5},{3,4}} => [[1,2,5],[3,4]] => [3,4,1,2,5] => [5,2,1,4,3] => 3
{{1,2},{3,4,5}} => [[1,2,5],[3,4]] => [3,4,1,2,5] => [5,2,1,4,3] => 3
{{1,2},{3,4},{5}} => [[1,2],[3,4],[5]] => [5,3,4,1,2] => [2,1,4,3,5] => 5
{{1,2,5},{3},{4}} => [[1,2,5],[3],[4]] => [4,3,1,2,5] => [5,2,1,3,4] => 4
{{1,2},{3,5},{4}} => [[1,2],[3,5],[4]] => [4,3,5,1,2] => [2,1,5,3,4] => 4
{{1,2},{3},{4,5}} => [[1,2],[3,5],[4]] => [4,3,5,1,2] => [2,1,5,3,4] => 4
{{1,2},{3},{4},{5}} => [[1,2],[3],[4],[5]] => [5,4,3,1,2] => [2,1,3,4,5] => 5
{{1,3,4,5},{2}} => [[1,3,4,5],[2]] => [2,1,3,4,5] => [5,4,3,1,2] => 2
{{1,3,4},{2,5}} => [[1,3,4],[2,5]] => [2,5,1,3,4] => [4,3,1,5,2] => 2
{{1,3,4},{2},{5}} => [[1,3,4],[2],[5]] => [5,2,1,3,4] => [4,3,1,2,5] => 5
{{1,3,5},{2,4}} => [[1,3,5],[2,4]] => [2,4,1,3,5] => [5,3,1,4,2] => 2
{{1,3},{2,4,5}} => [[1,3,5],[2,4]] => [2,4,1,3,5] => [5,3,1,4,2] => 2
{{1,3},{2,4},{5}} => [[1,3],[2,4],[5]] => [5,2,4,1,3] => [3,1,4,2,5] => 5
{{1,3,5},{2},{4}} => [[1,3,5],[2],[4]] => [4,2,1,3,5] => [5,3,1,2,4] => 4
{{1,3},{2,5},{4}} => [[1,3],[2,5],[4]] => [4,2,5,1,3] => [3,1,5,2,4] => 4
{{1,3},{2},{4,5}} => [[1,3],[2,5],[4]] => [4,2,5,1,3] => [3,1,5,2,4] => 4
{{1,3},{2},{4},{5}} => [[1,3],[2],[4],[5]] => [5,4,2,1,3] => [3,1,2,4,5] => 5
{{1,4,5},{2,3}} => [[1,3,5],[2,4]] => [2,4,1,3,5] => [5,3,1,4,2] => 2
{{1,4},{2,3,5}} => [[1,3,5],[2,4]] => [2,4,1,3,5] => [5,3,1,4,2] => 2
{{1,4},{2,3},{5}} => [[1,3],[2,4],[5]] => [5,2,4,1,3] => [3,1,4,2,5] => 5
{{1,5},{2,3,4}} => [[1,3,4],[2,5]] => [2,5,1,3,4] => [4,3,1,5,2] => 2
{{1},{2,3,4,5}} => [[1,3,4,5],[2]] => [2,1,3,4,5] => [5,4,3,1,2] => 2
{{1},{2,3,4},{5}} => [[1,3,4],[2],[5]] => [5,2,1,3,4] => [4,3,1,2,5] => 5
{{1,5},{2,3},{4}} => [[1,3],[2,5],[4]] => [4,2,5,1,3] => [3,1,5,2,4] => 4
{{1},{2,3,5},{4}} => [[1,3,5],[2],[4]] => [4,2,1,3,5] => [5,3,1,2,4] => 4
{{1},{2,3},{4,5}} => [[1,3],[2,5],[4]] => [4,2,5,1,3] => [3,1,5,2,4] => 4
{{1},{2,3},{4},{5}} => [[1,3],[2],[4],[5]] => [5,4,2,1,3] => [3,1,2,4,5] => 5
{{1,4,5},{2},{3}} => [[1,4,5],[2],[3]] => [3,2,1,4,5] => [5,4,1,2,3] => 3
{{1,4},{2,5},{3}} => [[1,4],[2,5],[3]] => [3,2,5,1,4] => [4,1,5,2,3] => 3
{{1,4},{2},{3,5}} => [[1,4],[2,5],[3]] => [3,2,5,1,4] => [4,1,5,2,3] => 3
{{1,4},{2},{3},{5}} => [[1,4],[2],[3],[5]] => [5,3,2,1,4] => [4,1,2,3,5] => 5
{{1,5},{2,4},{3}} => [[1,4],[2,5],[3]] => [3,2,5,1,4] => [4,1,5,2,3] => 3
{{1},{2,4,5},{3}} => [[1,4,5],[2],[3]] => [3,2,1,4,5] => [5,4,1,2,3] => 3
{{1},{2,4},{3,5}} => [[1,4],[2,5],[3]] => [3,2,5,1,4] => [4,1,5,2,3] => 3
{{1},{2,4},{3},{5}} => [[1,4],[2],[3],[5]] => [5,3,2,1,4] => [4,1,2,3,5] => 5
{{1,5},{2},{3,4}} => [[1,4],[2,5],[3]] => [3,2,5,1,4] => [4,1,5,2,3] => 3
{{1},{2,5},{3,4}} => [[1,4],[2,5],[3]] => [3,2,5,1,4] => [4,1,5,2,3] => 3
{{1},{2},{3,4,5}} => [[1,4,5],[2],[3]] => [3,2,1,4,5] => [5,4,1,2,3] => 3
{{1},{2},{3,4},{5}} => [[1,4],[2],[3],[5]] => [5,3,2,1,4] => [4,1,2,3,5] => 5
{{1,5},{2},{3},{4}} => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => [5,1,2,3,4] => 4
{{1},{2,5},{3},{4}} => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => [5,1,2,3,4] => 4
{{1},{2},{3,5},{4}} => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => [5,1,2,3,4] => 4
{{1},{2},{3},{4,5}} => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => [5,1,2,3,4] => 4
{{1},{2},{3},{4},{5}} => [[1],[2],[3],[4],[5]] => [5,4,3,2,1] => [1,2,3,4,5] => 5
{{1,2,3,4,5,6}} => [[1,2,3,4,5,6]] => [1,2,3,4,5,6] => [6,5,4,3,2,1] => 1
{{1,2,3,4,5},{6}} => [[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => [5,4,3,2,1,6] => 6
{{1,2,3,4,6},{5}} => [[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => [6,4,3,2,1,5] => 5
{{1,2,3,4},{5,6}} => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => [4,3,2,1,6,5] => 5
{{1,2,3,4},{5},{6}} => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => [4,3,2,1,5,6] => 6
{{1,2,3,5,6},{4}} => [[1,2,3,5,6],[4]] => [4,1,2,3,5,6] => [6,5,3,2,1,4] => 4
{{1,2,3,5},{4,6}} => [[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => [5,3,2,1,6,4] => 4
{{1,2,3,5},{4},{6}} => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => [5,3,2,1,4,6] => 6
{{1,2,3,6},{4,5}} => [[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => [6,3,2,1,5,4] => 4
{{1,2,3},{4,5,6}} => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => [3,2,1,6,5,4] => 4
{{1,2,3},{4,5},{6}} => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => [3,2,1,5,4,6] => 6
{{1,2,3,6},{4},{5}} => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => [6,3,2,1,4,5] => 5
{{1,2,3},{4,6},{5}} => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => [3,2,1,6,4,5] => 5
{{1,2,3},{4},{5,6}} => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => [3,2,1,6,4,5] => 5
{{1,2,3},{4},{5},{6}} => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => [3,2,1,4,5,6] => 6
{{1,2,4,5,6},{3}} => [[1,2,4,5,6],[3]] => [3,1,2,4,5,6] => [6,5,4,2,1,3] => 3
{{1,2,4,5},{3,6}} => [[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => [5,4,2,1,6,3] => 3
{{1,2,4,5},{3},{6}} => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => [5,4,2,1,3,6] => 6
{{1,2,4,6},{3,5}} => [[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => [6,4,2,1,5,3] => 3
{{1,2,4},{3,5,6}} => [[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => [4,2,1,6,5,3] => 3
{{1,2,4},{3,5},{6}} => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => [4,2,1,5,3,6] => 6
{{1,2,4,6},{3},{5}} => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => [6,4,2,1,3,5] => 5
{{1,2,4},{3,6},{5}} => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => [4,2,1,6,3,5] => 5
{{1,2,4},{3},{5,6}} => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => [4,2,1,6,3,5] => 5
{{1,2,4},{3},{5},{6}} => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => [4,2,1,3,5,6] => 6
{{1,2,5,6},{3,4}} => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => [6,5,2,1,4,3] => 3
>>> Load all 279 entries. <<<
{{1,2,5},{3,4,6}} => [[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => [5,2,1,6,4,3] => 3
{{1,2,5},{3,4},{6}} => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => [5,2,1,4,3,6] => 6
{{1,2,6},{3,4,5}} => [[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => [5,2,1,6,4,3] => 3
{{1,2},{3,4,5,6}} => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => [6,5,2,1,4,3] => 3
{{1,2},{3,4,5},{6}} => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => [5,2,1,4,3,6] => 6
{{1,2,6},{3,4},{5}} => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => [6,2,1,4,3,5] => 5
{{1,2},{3,4,6},{5}} => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => [6,2,1,4,3,5] => 5
{{1,2},{3,4},{5,6}} => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => [2,1,4,3,6,5] => 5
{{1,2},{3,4},{5},{6}} => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => [2,1,4,3,5,6] => 6
{{1,2,5,6},{3},{4}} => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => [6,5,2,1,3,4] => 4
{{1,2,5},{3,6},{4}} => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => [5,2,1,6,3,4] => 4
{{1,2,5},{3},{4,6}} => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => [5,2,1,6,3,4] => 4
{{1,2,5},{3},{4},{6}} => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => [5,2,1,3,4,6] => 6
{{1,2,6},{3,5},{4}} => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => [6,2,1,5,3,4] => 4
{{1,2},{3,5,6},{4}} => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => [6,2,1,5,3,4] => 4
{{1,2},{3,5},{4,6}} => [[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => [2,1,5,3,6,4] => 4
{{1,2},{3,5},{4},{6}} => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => [2,1,5,3,4,6] => 6
{{1,2,6},{3},{4,5}} => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => [6,2,1,5,3,4] => 4
{{1,2},{3,6},{4,5}} => [[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => [2,1,5,3,6,4] => 4
{{1,2},{3},{4,5,6}} => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => [6,2,1,5,3,4] => 4
{{1,2},{3},{4,5},{6}} => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => [2,1,5,3,4,6] => 6
{{1,2,6},{3},{4},{5}} => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => [6,2,1,3,4,5] => 5
{{1,2},{3,6},{4},{5}} => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => [2,1,6,3,4,5] => 5
{{1,2},{3},{4,6},{5}} => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => [2,1,6,3,4,5] => 5
{{1,2},{3},{4},{5,6}} => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => [2,1,6,3,4,5] => 5
{{1,2},{3},{4},{5},{6}} => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => [2,1,3,4,5,6] => 6
{{1,3,4,5,6},{2}} => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => [6,5,4,3,1,2] => 2
{{1,3,4,5},{2,6}} => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => [5,4,3,1,6,2] => 2
{{1,3,4,5},{2},{6}} => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => [5,4,3,1,2,6] => 6
{{1,3,4,6},{2,5}} => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => [6,4,3,1,5,2] => 2
{{1,3,4},{2,5,6}} => [[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => [4,3,1,6,5,2] => 2
{{1,3,4},{2,5},{6}} => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => [4,3,1,5,2,6] => 6
{{1,3,4,6},{2},{5}} => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => [6,4,3,1,2,5] => 5
{{1,3,4},{2,6},{5}} => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => [4,3,1,6,2,5] => 5
{{1,3,4},{2},{5,6}} => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => [4,3,1,6,2,5] => 5
{{1,3,4},{2},{5},{6}} => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => [4,3,1,2,5,6] => 6
{{1,3,5,6},{2,4}} => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => [6,5,3,1,4,2] => 2
{{1,3,5},{2,4,6}} => [[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => [5,3,1,6,4,2] => 2
{{1,3,5},{2,4},{6}} => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => [5,3,1,4,2,6] => 6
{{1,3,6},{2,4,5}} => [[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => [5,3,1,6,4,2] => 2
{{1,3},{2,4,5,6}} => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => [6,5,3,1,4,2] => 2
{{1,3},{2,4,5},{6}} => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => [5,3,1,4,2,6] => 6
{{1,3,6},{2,4},{5}} => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => [6,3,1,4,2,5] => 5
{{1,3},{2,4,6},{5}} => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => [6,3,1,4,2,5] => 5
{{1,3},{2,4},{5,6}} => [[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => [3,1,4,2,6,5] => 5
{{1,3},{2,4},{5},{6}} => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => [3,1,4,2,5,6] => 6
{{1,3,5,6},{2},{4}} => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => [6,5,3,1,2,4] => 4
{{1,3,5},{2,6},{4}} => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => [5,3,1,6,2,4] => 4
{{1,3,5},{2},{4,6}} => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => [5,3,1,6,2,4] => 4
{{1,3,5},{2},{4},{6}} => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => [5,3,1,2,4,6] => 6
{{1,3,6},{2,5},{4}} => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => [6,3,1,5,2,4] => 4
{{1,3},{2,5,6},{4}} => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => [6,3,1,5,2,4] => 4
{{1,3},{2,5},{4,6}} => [[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => [3,1,5,2,6,4] => 4
{{1,3},{2,5},{4},{6}} => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => [3,1,5,2,4,6] => 6
{{1,3,6},{2},{4,5}} => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => [6,3,1,5,2,4] => 4
{{1,3},{2,6},{4,5}} => [[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => [3,1,5,2,6,4] => 4
{{1,3},{2},{4,5,6}} => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => [6,3,1,5,2,4] => 4
{{1,3},{2},{4,5},{6}} => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => [3,1,5,2,4,6] => 6
{{1,3,6},{2},{4},{5}} => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => [6,3,1,2,4,5] => 5
{{1,3},{2,6},{4},{5}} => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => [3,1,6,2,4,5] => 5
{{1,3},{2},{4,6},{5}} => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => [3,1,6,2,4,5] => 5
{{1,3},{2},{4},{5,6}} => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => [3,1,6,2,4,5] => 5
{{1,3},{2},{4},{5},{6}} => [[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => [3,1,2,4,5,6] => 6
{{1,4,5,6},{2,3}} => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => [6,5,3,1,4,2] => 2
{{1,4,5},{2,3,6}} => [[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => [5,3,1,6,4,2] => 2
{{1,4,5},{2,3},{6}} => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => [5,3,1,4,2,6] => 6
{{1,4,6},{2,3,5}} => [[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => [5,3,1,6,4,2] => 2
{{1,4},{2,3,5,6}} => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => [6,5,3,1,4,2] => 2
{{1,4},{2,3,5},{6}} => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => [5,3,1,4,2,6] => 6
{{1,4,6},{2,3},{5}} => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => [6,3,1,4,2,5] => 5
{{1,4},{2,3,6},{5}} => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => [6,3,1,4,2,5] => 5
{{1,4},{2,3},{5,6}} => [[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => [3,1,4,2,6,5] => 5
{{1,4},{2,3},{5},{6}} => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => [3,1,4,2,5,6] => 6
{{1,5,6},{2,3,4}} => [[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => [4,3,1,6,5,2] => 2
{{1,5},{2,3,4,6}} => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => [6,4,3,1,5,2] => 2
{{1,5},{2,3,4},{6}} => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => [4,3,1,5,2,6] => 6
{{1,6},{2,3,4,5}} => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => [5,4,3,1,6,2] => 2
{{1},{2,3,4,5,6}} => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => [6,5,4,3,1,2] => 2
{{1},{2,3,4,5},{6}} => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => [5,4,3,1,2,6] => 6
{{1,6},{2,3,4},{5}} => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => [4,3,1,6,2,5] => 5
{{1},{2,3,4,6},{5}} => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => [6,4,3,1,2,5] => 5
{{1},{2,3,4},{5,6}} => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => [4,3,1,6,2,5] => 5
{{1},{2,3,4},{5},{6}} => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => [4,3,1,2,5,6] => 6
{{1,5,6},{2,3},{4}} => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => [6,3,1,5,2,4] => 4
{{1,5},{2,3,6},{4}} => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => [6,3,1,5,2,4] => 4
{{1,5},{2,3},{4,6}} => [[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => [3,1,5,2,6,4] => 4
{{1,5},{2,3},{4},{6}} => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => [3,1,5,2,4,6] => 6
{{1,6},{2,3,5},{4}} => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => [5,3,1,6,2,4] => 4
{{1},{2,3,5,6},{4}} => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => [6,5,3,1,2,4] => 4
{{1},{2,3,5},{4,6}} => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => [5,3,1,6,2,4] => 4
{{1},{2,3,5},{4},{6}} => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => [5,3,1,2,4,6] => 6
{{1,6},{2,3},{4,5}} => [[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => [3,1,5,2,6,4] => 4
{{1},{2,3,6},{4,5}} => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => [6,3,1,5,2,4] => 4
{{1},{2,3},{4,5,6}} => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => [6,3,1,5,2,4] => 4
{{1},{2,3},{4,5},{6}} => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => [3,1,5,2,4,6] => 6
{{1,6},{2,3},{4},{5}} => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => [3,1,6,2,4,5] => 5
{{1},{2,3,6},{4},{5}} => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => [6,3,1,2,4,5] => 5
{{1},{2,3},{4,6},{5}} => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => [3,1,6,2,4,5] => 5
{{1},{2,3},{4},{5,6}} => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => [3,1,6,2,4,5] => 5
{{1},{2,3},{4},{5},{6}} => [[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => [3,1,2,4,5,6] => 6
{{1,4,5,6},{2},{3}} => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => [6,5,4,1,2,3] => 3
{{1,4,5},{2,6},{3}} => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => [5,4,1,6,2,3] => 3
{{1,4,5},{2},{3,6}} => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => [5,4,1,6,2,3] => 3
{{1,4,5},{2},{3},{6}} => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => [5,4,1,2,3,6] => 6
{{1,4,6},{2,5},{3}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => [6,4,1,5,2,3] => 3
{{1,4},{2,5,6},{3}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => [6,4,1,5,2,3] => 3
{{1,4},{2,5},{3,6}} => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => [4,1,5,2,6,3] => 3
{{1,4},{2,5},{3},{6}} => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => [4,1,5,2,3,6] => 6
{{1,4,6},{2},{3,5}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => [6,4,1,5,2,3] => 3
{{1,4},{2,6},{3,5}} => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => [4,1,5,2,6,3] => 3
{{1,4},{2},{3,5,6}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => [6,4,1,5,2,3] => 3
{{1,4},{2},{3,5},{6}} => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => [4,1,5,2,3,6] => 6
{{1,4,6},{2},{3},{5}} => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => [6,4,1,2,3,5] => 5
{{1,4},{2,6},{3},{5}} => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => [4,1,6,2,3,5] => 5
{{1,4},{2},{3,6},{5}} => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => [4,1,6,2,3,5] => 5
{{1,4},{2},{3},{5,6}} => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => [4,1,6,2,3,5] => 5
{{1,4},{2},{3},{5},{6}} => [[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => [4,1,2,3,5,6] => 6
{{1,5,6},{2,4},{3}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => [6,4,1,5,2,3] => 3
{{1,5},{2,4,6},{3}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => [6,4,1,5,2,3] => 3
{{1,5},{2,4},{3,6}} => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => [4,1,5,2,6,3] => 3
{{1,5},{2,4},{3},{6}} => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => [4,1,5,2,3,6] => 6
{{1,6},{2,4,5},{3}} => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => [5,4,1,6,2,3] => 3
{{1},{2,4,5,6},{3}} => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => [6,5,4,1,2,3] => 3
{{1},{2,4,5},{3,6}} => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => [5,4,1,6,2,3] => 3
{{1},{2,4,5},{3},{6}} => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => [5,4,1,2,3,6] => 6
{{1,6},{2,4},{3,5}} => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => [4,1,5,2,6,3] => 3
{{1},{2,4,6},{3,5}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => [6,4,1,5,2,3] => 3
{{1},{2,4},{3,5,6}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => [6,4,1,5,2,3] => 3
{{1},{2,4},{3,5},{6}} => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => [4,1,5,2,3,6] => 6
{{1,6},{2,4},{3},{5}} => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => [4,1,6,2,3,5] => 5
{{1},{2,4,6},{3},{5}} => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => [6,4,1,2,3,5] => 5
{{1},{2,4},{3,6},{5}} => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => [4,1,6,2,3,5] => 5
{{1},{2,4},{3},{5,6}} => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => [4,1,6,2,3,5] => 5
{{1},{2,4},{3},{5},{6}} => [[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => [4,1,2,3,5,6] => 6
{{1,5,6},{2},{3,4}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => [6,4,1,5,2,3] => 3
{{1,5},{2,6},{3,4}} => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => [4,1,5,2,6,3] => 3
{{1,5},{2},{3,4,6}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => [6,4,1,5,2,3] => 3
{{1,5},{2},{3,4},{6}} => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => [4,1,5,2,3,6] => 6
{{1,6},{2,5},{3,4}} => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => [4,1,5,2,6,3] => 3
{{1},{2,5,6},{3,4}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => [6,4,1,5,2,3] => 3
{{1},{2,5},{3,4,6}} => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => [6,4,1,5,2,3] => 3
{{1},{2,5},{3,4},{6}} => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => [4,1,5,2,3,6] => 6
{{1,6},{2},{3,4,5}} => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => [5,4,1,6,2,3] => 3
{{1},{2,6},{3,4,5}} => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => [5,4,1,6,2,3] => 3
{{1},{2},{3,4,5,6}} => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => [6,5,4,1,2,3] => 3
{{1},{2},{3,4,5},{6}} => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => [5,4,1,2,3,6] => 6
{{1,6},{2},{3,4},{5}} => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => [4,1,6,2,3,5] => 5
{{1},{2,6},{3,4},{5}} => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => [4,1,6,2,3,5] => 5
{{1},{2},{3,4,6},{5}} => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => [6,4,1,2,3,5] => 5
{{1},{2},{3,4},{5,6}} => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => [4,1,6,2,3,5] => 5
{{1},{2},{3,4},{5},{6}} => [[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => [4,1,2,3,5,6] => 6
{{1,5,6},{2},{3},{4}} => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => [6,5,1,2,3,4] => 4
{{1,5},{2,6},{3},{4}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => [5,1,6,2,3,4] => 4
{{1,5},{2},{3,6},{4}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => [5,1,6,2,3,4] => 4
{{1,5},{2},{3},{4,6}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => [5,1,6,2,3,4] => 4
{{1,5},{2},{3},{4},{6}} => [[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => [5,1,2,3,4,6] => 6
{{1,6},{2,5},{3},{4}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => [5,1,6,2,3,4] => 4
{{1},{2,5,6},{3},{4}} => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => [6,5,1,2,3,4] => 4
{{1},{2,5},{3,6},{4}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => [5,1,6,2,3,4] => 4
{{1},{2,5},{3},{4,6}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => [5,1,6,2,3,4] => 4
{{1},{2,5},{3},{4},{6}} => [[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => [5,1,2,3,4,6] => 6
{{1,6},{2},{3,5},{4}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => [5,1,6,2,3,4] => 4
{{1},{2,6},{3,5},{4}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => [5,1,6,2,3,4] => 4
{{1},{2},{3,5,6},{4}} => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => [6,5,1,2,3,4] => 4
{{1},{2},{3,5},{4,6}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => [5,1,6,2,3,4] => 4
{{1},{2},{3,5},{4},{6}} => [[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => [5,1,2,3,4,6] => 6
{{1,6},{2},{3},{4,5}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => [5,1,6,2,3,4] => 4
{{1},{2,6},{3},{4,5}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => [5,1,6,2,3,4] => 4
{{1},{2},{3,6},{4,5}} => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => [5,1,6,2,3,4] => 4
{{1},{2},{3},{4,5,6}} => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => [6,5,1,2,3,4] => 4
{{1},{2},{3},{4,5},{6}} => [[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => [5,1,2,3,4,6] => 6
{{1,6},{2},{3},{4},{5}} => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => [6,1,2,3,4,5] => 5
{{1},{2,6},{3},{4},{5}} => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => [6,1,2,3,4,5] => 5
{{1},{2},{3,6},{4},{5}} => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => [6,1,2,3,4,5] => 5
{{1},{2},{3},{4,6},{5}} => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => [6,1,2,3,4,5] => 5
{{1},{2},{3},{4},{5,6}} => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => [6,1,2,3,4,5] => 5
{{1},{2},{3},{4},{5},{6}} => [[1],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1] => [1,2,3,4,5,6] => 6
{{1},{2},{3},{4},{5},{6},{7}} => [[1],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => 7
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Description
The last entry of a permutation.
This statistic is undefined for the empty permutation.
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.
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.