Identifier
Values
[[1]] => {{1}} => [1] => 0
[[1,2]] => {{1,2}} => [2,1] => 0
[[1],[2]] => {{1},{2}} => [1,2] => 0
[[1,2,3]] => {{1,2,3}} => [2,3,1] => 0
[[1,3],[2]] => {{1,3},{2}} => [3,2,1] => 1
[[1,2],[3]] => {{1,2},{3}} => [2,1,3] => 1
[[1],[2],[3]] => {{1},{2},{3}} => [1,2,3] => 0
[[1,2,3,4]] => {{1,2,3,4}} => [2,3,4,1] => 0
[[1,3,4],[2]] => {{1,3,4},{2}} => [3,2,4,1] => 2
[[1,2,4],[3]] => {{1,2,4},{3}} => [2,4,3,1] => 1
[[1,2,3],[4]] => {{1,2,3},{4}} => [2,3,1,4] => 2
[[1,3],[2,4]] => {{1,3},{2,4}} => [3,4,1,2] => 0
[[1,2],[3,4]] => {{1,2},{3,4}} => [2,1,4,3] => 2
[[1,4],[2],[3]] => {{1,4},{2},{3}} => [4,2,3,1] => 2
[[1,3],[2],[4]] => {{1,3},{2},{4}} => [3,2,1,4] => 4
[[1,2],[3],[4]] => {{1,2},{3},{4}} => [2,1,3,4] => 2
[[1],[2],[3],[4]] => {{1},{2},{3},{4}} => [1,2,3,4] => 0
[[1,2,3,4,5]] => {{1,2,3,4,5}} => [2,3,4,5,1] => 0
[[1,3,4,5],[2]] => {{1,3,4,5},{2}} => [3,2,4,5,1] => 3
[[1,2,4,5],[3]] => {{1,2,4,5},{3}} => [2,4,3,5,1] => 2
[[1,2,3,5],[4]] => {{1,2,3,5},{4}} => [2,3,5,4,1] => 1
[[1,2,3,4],[5]] => {{1,2,3,4},{5}} => [2,3,4,1,5] => 3
[[1,3,5],[2,4]] => {{1,3,5},{2,4}} => [3,4,5,2,1] => 3
[[1,2,5],[3,4]] => {{1,2,5},{3,4}} => [2,5,4,3,1] => 4
[[1,3,4],[2,5]] => {{1,3,4},{2,5}} => [3,5,4,1,2] => 2
[[1,2,4],[3,5]] => {{1,2,4},{3,5}} => [2,4,5,1,3] => 1
[[1,2,3],[4,5]] => {{1,2,3},{4,5}} => [2,3,1,5,4] => 4
[[1,4,5],[2],[3]] => {{1,4,5},{2},{3}} => [4,2,3,5,1] => 4
[[1,3,5],[2],[4]] => {{1,3,5},{2},{4}} => [3,2,5,4,1] => 4
[[1,2,5],[3],[4]] => {{1,2,5},{3},{4}} => [2,5,3,4,1] => 2
[[1,3,4],[2],[5]] => {{1,3,4},{2},{5}} => [3,2,4,1,5] => 6
[[1,2,4],[3],[5]] => {{1,2,4},{3},{5}} => [2,4,3,1,5] => 5
[[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => [2,3,1,4,5] => 4
[[1,4],[2,5],[3]] => {{1,4},{2,5},{3}} => [4,5,3,1,2] => 4
[[1,3],[2,5],[4]] => {{1,3},{2,5},{4}} => [3,5,1,4,2] => 2
[[1,2],[3,5],[4]] => {{1,2},{3,5},{4}} => [2,1,5,4,3] => 4
[[1,3],[2,4],[5]] => {{1,3},{2,4},{5}} => [3,4,1,2,5] => 4
[[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => [2,1,4,3,5] => 4
[[1,5],[2],[3],[4]] => {{1,5},{2},{3},{4}} => [5,2,3,4,1] => 3
[[1,4],[2],[3],[5]] => {{1,4},{2},{3},{5}} => [4,2,3,1,5] => 7
[[1,3],[2],[4],[5]] => {{1,3},{2},{4},{5}} => [3,2,1,4,5] => 7
[[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => [2,1,3,4,5] => 3
[[1],[2],[3],[4],[5]] => {{1},{2},{3},{4},{5}} => [1,2,3,4,5] => 0
[[1,2,3,4,5,6]] => {{1,2,3,4,5,6}} => [2,3,4,5,6,1] => 0
[[1,3,4,5,6],[2]] => {{1,3,4,5,6},{2}} => [3,2,4,5,6,1] => 4
[[1,2,4,5,6],[3]] => {{1,2,4,5,6},{3}} => [2,4,3,5,6,1] => 3
[[1,2,3,5,6],[4]] => {{1,2,3,5,6},{4}} => [2,3,5,4,6,1] => 2
[[1,2,3,4,6],[5]] => {{1,2,3,4,6},{5}} => [2,3,4,6,5,1] => 1
[[1,2,3,4,5],[6]] => {{1,2,3,4,5},{6}} => [2,3,4,5,1,6] => 4
[[1,3,5,6],[2,4]] => {{1,3,5,6},{2,4}} => [3,4,5,2,6,1] => 6
[[1,2,5,6],[3,4]] => {{1,2,5,6},{3,4}} => [2,5,4,3,6,1] => 7
[[1,3,4,6],[2,5]] => {{1,3,4,6},{2,5}} => [3,5,4,6,2,1] => 7
[[1,2,4,6],[3,5]] => {{1,2,4,6},{3,5}} => [2,4,5,6,3,1] => 3
[[1,2,3,6],[4,5]] => {{1,2,3,6},{4,5}} => [2,3,6,5,4,1] => 4
[[1,3,4,5],[2,6]] => {{1,3,4,5},{2,6}} => [3,6,4,5,1,2] => 4
[[1,2,4,5],[3,6]] => {{1,2,4,5},{3,6}} => [2,4,6,5,1,3] => 3
[[1,2,3,5],[4,6]] => {{1,2,3,5},{4,6}} => [2,3,5,6,1,4] => 2
[[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => [2,3,4,1,6,5] => 6
[[1,4,5,6],[2],[3]] => {{1,4,5,6},{2},{3}} => [4,2,3,5,6,1] => 6
[[1,3,5,6],[2],[4]] => {{1,3,5,6},{2},{4}} => [3,2,5,4,6,1] => 6
[[1,2,5,6],[3],[4]] => {{1,2,5,6},{3},{4}} => [2,5,3,4,6,1] => 4
[[1,3,4,6],[2],[5]] => {{1,3,4,6},{2},{5}} => [3,2,4,6,5,1] => 5
[[1,2,4,6],[3],[5]] => {{1,2,4,6},{3},{5}} => [2,4,3,6,5,1] => 4
[[1,2,3,6],[4],[5]] => {{1,2,3,6},{4},{5}} => [2,3,6,4,5,1] => 2
[[1,3,4,5],[2],[6]] => {{1,3,4,5},{2},{6}} => [3,2,4,5,1,6] => 8
[[1,2,4,5],[3],[6]] => {{1,2,4,5},{3},{6}} => [2,4,3,5,1,6] => 7
[[1,2,3,5],[4],[6]] => {{1,2,3,5},{4},{6}} => [2,3,5,4,1,6] => 6
[[1,2,3,4],[5],[6]] => {{1,2,3,4},{5},{6}} => [2,3,4,1,5,6] => 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}} => [2,5,4,6,1,3] => 4
[[1,3,4],[2,5,6]] => {{1,3,4},{2,5,6}} => [3,5,4,1,6,2] => 6
[[1,2,4],[3,5,6]] => {{1,2,4},{3,5,6}} => [2,4,5,1,6,3] => 4
[[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => [2,3,1,5,6,4] => 6
[[1,4,6],[2,5],[3]] => {{1,4,6},{2,5},{3}} => [4,5,3,6,2,1] => 10
[[1,3,6],[2,5],[4]] => {{1,3,6},{2,5},{4}} => [3,5,6,4,2,1] => 8
[[1,2,6],[3,5],[4]] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 10
[[1,3,6],[2,4],[5]] => {{1,3,6},{2,4},{5}} => [3,4,6,2,5,1] => 6
[[1,2,6],[3,4],[5]] => {{1,2,6},{3,4},{5}} => [2,6,4,3,5,1] => 6
[[1,4,5],[2,6],[3]] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 7
[[1,3,5],[2,6],[4]] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 7
[[1,2,5],[3,6],[4]] => {{1,2,5},{3,6},{4}} => [2,5,6,4,1,3] => 5
[[1,3,4],[2,6],[5]] => {{1,3,4},{2,6},{5}} => [3,6,4,1,5,2] => 5
[[1,2,4],[3,6],[5]] => {{1,2,4},{3,6},{5}} => [2,4,6,1,5,3] => 4
[[1,2,3],[4,6],[5]] => {{1,2,3},{4,6},{5}} => [2,3,1,6,5,4] => 7
[[1,3,5],[2,4],[6]] => {{1,3,5},{2,4},{6}} => [3,4,5,2,1,6] => 10
[[1,2,5],[3,4],[6]] => {{1,2,5},{3,4},{6}} => [2,5,4,3,1,6] => 11
[[1,3,4],[2,5],[6]] => {{1,3,4},{2,5},{6}} => [3,5,4,1,2,6] => 9
[[1,2,4],[3,5],[6]] => {{1,2,4},{3,5},{6}} => [2,4,5,1,3,6] => 6
[[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => [2,3,1,5,4,6] => 7
[[1,5,6],[2],[3],[4]] => {{1,5,6},{2},{3},{4}} => [5,2,3,4,6,1] => 6
[[1,4,6],[2],[3],[5]] => {{1,4,6},{2},{3},{5}} => [4,2,3,6,5,1] => 7
[[1,3,6],[2],[4],[5]] => {{1,3,6},{2},{4},{5}} => [3,2,6,4,5,1] => 6
[[1,2,6],[3],[4],[5]] => {{1,2,6},{3},{4},{5}} => [2,6,3,4,5,1] => 3
[[1,4,5],[2],[3],[6]] => {{1,4,5},{2},{3},{6}} => [4,2,3,5,1,6] => 10
[[1,3,5],[2],[4],[6]] => {{1,3,5},{2},{4},{6}} => [3,2,5,4,1,6] => 10
[[1,2,5],[3],[4],[6]] => {{1,2,5},{3},{4},{6}} => [2,5,3,4,1,6] => 8
[[1,3,4],[2],[5],[6]] => {{1,3,4},{2},{5},{6}} => [3,2,4,1,5,6] => 10
[[1,2,4],[3],[5],[6]] => {{1,2,4},{3},{5},{6}} => [2,4,3,1,5,6] => 9
[[1,2,3],[4],[5],[6]] => {{1,2,3},{4},{5},{6}} => [2,3,1,4,5,6] => 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}} => [3,5,1,6,2,4] => 4
>>> Load all 205 entries. <<<
[[1,2],[3,5],[4,6]] => {{1,2},{3,5},{4,6}} => [2,1,5,6,3,4] => 4
[[1,3],[2,4],[5,6]] => {{1,3},{2,4},{5,6}} => [3,4,1,2,6,5] => 8
[[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => [2,1,4,3,6,5] => 6
[[1,5],[2,6],[3],[4]] => {{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => 8
[[1,4],[2,6],[3],[5]] => {{1,4},{2,6},{3},{5}} => [4,6,3,1,5,2] => 8
[[1,3],[2,6],[4],[5]] => {{1,3},{2,6},{4},{5}} => [3,6,1,4,5,2] => 4
[[1,2],[3,6],[4],[5]] => {{1,2},{3,6},{4},{5}} => [2,1,6,4,5,3] => 6
[[1,4],[2,5],[3],[6]] => {{1,4},{2,5},{3},{6}} => [4,5,3,1,2,6] => 12
[[1,3],[2,5],[4],[6]] => {{1,3},{2,5},{4},{6}} => [3,5,1,4,2,6] => 8
[[1,2],[3,5],[4],[6]] => {{1,2},{3,5},{4},{6}} => [2,1,5,4,3,6] => 8
[[1,3],[2,4],[5],[6]] => {{1,3},{2,4},{5},{6}} => [3,4,1,2,5,6] => 8
[[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => [2,1,4,3,5,6] => 6
[[1,6],[2],[3],[4],[5]] => {{1,6},{2},{3},{4},{5}} => [6,2,3,4,5,1] => 4
[[1,5],[2],[3],[4],[6]] => {{1,5},{2},{3},{4},{6}} => [5,2,3,4,1,6] => 10
[[1,4],[2],[3],[5],[6]] => {{1,4},{2},{3},{5},{6}} => [4,2,3,1,5,6] => 12
[[1,3],[2],[4],[5],[6]] => {{1,3},{2},{4},{5},{6}} => [3,2,1,4,5,6] => 10
[[1,2],[3],[4],[5],[6]] => {{1,2},{3},{4},{5},{6}} => [2,1,3,4,5,6] => 4
[[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]] => {{1,2,3,4,5,6,7}} => [2,3,4,5,6,7,1] => 0
[[1,3,4,5,6,7],[2]] => {{1,3,4,5,6,7},{2}} => [3,2,4,5,6,7,1] => 5
[[1,2,3,4,5,6],[7]] => {{1,2,3,4,5,6},{7}} => [2,3,4,5,6,1,7] => 5
[[1,3,5,6,7],[2,4]] => {{1,3,5,6,7},{2,4}} => [3,4,5,2,6,7,1] => 9
[[1,2,3,4,6],[5,7]] => {{1,2,3,4,6},{5,7}} => [2,3,4,6,7,1,5] => 3
[[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => [2,3,4,5,1,7,6] => 8
[[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}} => [4,2,3,5,6,7,1] => 8
[[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => [2,3,4,5,1,6,7] => 8
[[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => [5,2,3,4,6,7,1] => 9
[[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => [2,3,4,1,5,6,7] => 9
[[1,4,6],[2,5],[3],[7]] => {{1,4,6},{2,5},{3},{7}} => [4,5,3,6,2,1,7] => 21
[[1,3,6],[2,5],[4],[7]] => {{1,3,6},{2,5},{4},{7}} => [3,5,6,4,2,1,7] => 19
[[1,2,6],[3,5],[4],[7]] => {{1,2,6},{3,5},{4},{7}} => [2,6,5,4,3,1,7] => 21
[[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}} => [6,2,3,4,5,7,1] => 8
[[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => [2,3,1,4,5,6,7] => 8
[[1,4],[2,5],[3,6],[7]] => {{1,4},{2,5},{3,6},{7}} => [4,5,6,1,2,3,7] => 9
[[1,5],[2,6],[3],[4],[7]] => {{1,5},{2,6},{3},{4},{7}} => [5,6,3,4,1,2,7] => 20
[[1,3],[2,4],[5],[6],[7]] => {{1,3},{2,4},{5},{6},{7}} => [3,4,1,2,5,6,7] => 12
[[1,3],[2],[4],[5],[6],[7]] => {{1,3},{2},{4},{5},{6},{7}} => [3,2,1,4,5,6,7] => 13
[[1,2],[3],[4],[5],[6],[7]] => {{1,2},{3},{4},{5},{6},{7}} => [2,1,3,4,5,6,7] => 5
[[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}} => [2,3,4,5,6,7,8,1] => 0
[[1,3,4,5,6,7,8],[2]] => {{1,3,4,5,6,7,8},{2}} => [3,2,4,5,6,7,8,1] => 6
[[1,2,3,4,5,6,7],[8]] => {{1,2,3,4,5,6,7},{8}} => [2,3,4,5,6,7,1,8] => 6
[[1,3,5,6,7,8],[2,4]] => {{1,3,5,6,7,8},{2,4}} => [3,4,5,2,6,7,8,1] => 12
[[1,3,4,5,7,8],[2,6]] => {{1,3,4,5,7,8},{2,6}} => [3,6,4,5,7,2,8,1] => 18
[[1,2,3,4,5,7],[6,8]] => {{1,2,3,4,5,7},{6,8}} => [2,3,4,5,7,8,1,6] => 4
[[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => [2,3,4,5,6,1,8,7] => 10
[[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}} => [4,2,3,5,6,7,8,1] => 10
[[1,2,3,4,5,6],[7],[8]] => {{1,2,3,4,5,6},{7},{8}} => [2,3,4,5,6,1,7,8] => 10
[[1,2,3,5,8],[4,6,7]] => {{1,2,3,5,8},{4,6,7}} => [2,3,5,6,8,7,4,1] => 6
[[1,5,6,7,8],[2],[3],[4]] => {{1,5,6,7,8},{2},{3},{4}} => [5,2,3,4,6,7,8,1] => 12
[[1,3,5,7,8],[2],[4],[6]] => {{1,3,5,7,8},{2},{4},{6}} => [3,2,5,4,7,6,8,1] => 12
[[1,2,3,7,8],[4],[5],[6]] => {{1,2,3,7,8},{4},{5},{6}} => [2,3,7,4,5,6,8,1] => 6
[[1,2,3,4,8],[5],[6],[7]] => {{1,2,3,4,8},{5},{6},{7}} => [2,3,4,8,5,6,7,1] => 3
[[1,2,3,4,5],[6],[7],[8]] => {{1,2,3,4,5},{6},{7},{8}} => [2,3,4,5,1,6,7,8] => 12
[[1,3,5,7],[2,4,6,8]] => {{1,3,5,7},{2,4,6,8}} => [3,4,5,6,7,8,1,2] => 0
[[1,3,4,7],[2,5,6,8]] => {{1,3,4,7},{2,5,6,8}} => [3,5,4,7,6,8,1,2] => 8
[[1,2,5,6],[3,4,7,8]] => {{1,2,5,6},{3,4,7,8}} => [2,5,4,7,6,1,8,3] => 14
[[1,2,4,6],[3,5,7,8]] => {{1,2,4,6},{3,5,7,8}} => [2,4,5,6,7,1,8,3] => 6
[[1,2,3,5],[4,6,7,8]] => {{1,2,3,5},{4,6,7,8}} => [2,3,5,6,1,7,8,4] => 10
[[1,2,3,4],[5,6,7,8]] => {{1,2,3,4},{5,6,7,8}} => [2,3,4,1,6,7,8,5] => 12
[[1,4,5,8],[2,7],[3],[6]] => {{1,4,5,8},{2,7},{3},{6}} => [4,7,3,5,8,6,2,1] => 21
[[1,3,5,7],[2],[4],[6],[8]] => {{1,3,5,7},{2},{4},{6},{8}} => [3,2,5,4,7,6,1,8] => 18
[[1,3,7],[2,6,8],[4],[5]] => {{1,3,7},{2,6,8},{4},{5}} => [3,6,7,4,5,8,1,2] => 12
[[1,2,7],[3,6,8],[4],[5]] => {{1,2,7},{3,6,8},{4},{5}} => [2,7,6,4,5,8,1,3] => 18
[[1,4,7],[2,5,8],[3],[6]] => {{1,4,7},{2,5,8},{3},{6}} => [4,5,3,7,8,6,1,2] => 14
[[1,2,6],[3,7,8],[4],[5]] => {{1,2,6},{3,7,8},{4},{5}} => [2,6,7,4,5,1,8,3] => 18
[[1,5],[2,6],[3,7],[4,8]] => {{1,5},{2,6},{3,7},{4,8}} => [5,6,7,8,1,2,3,4] => 0
[[1,4],[2,6],[3,7],[5,8]] => {{1,4},{2,6},{3,7},{5,8}} => [4,6,7,1,8,2,3,5] => 6
[[1,3],[2,6],[4,7],[5,8]] => {{1,3},{2,6},{4,7},{5,8}} => [3,6,1,7,8,2,4,5] => 8
[[1,2],[3,6],[4,7],[5,8]] => {{1,2},{3,6},{4,7},{5,8}} => [2,1,6,7,8,3,4,5] => 6
[[1,4],[2,5],[3,7],[6,8]] => {{1,4},{2,5},{3,7},{6,8}} => [4,5,7,1,2,8,3,6] => 12
[[1,3],[2,5],[4,7],[6,8]] => {{1,3},{2,5},{4,7},{6,8}} => [3,5,1,7,2,8,4,6] => 14
[[1,2],[3,5],[4,7],[6,8]] => {{1,2},{3,5},{4,7},{6,8}} => [2,1,5,7,3,8,4,6] => 10
[[1,3],[2,4],[5,7],[6,8]] => {{1,3},{2,4},{5,7},{6,8}} => [3,4,1,2,7,8,5,6] => 16
[[1,2],[3,4],[5,7],[6,8]] => {{1,2},{3,4},{5,7},{6,8}} => [2,1,4,3,7,8,5,6] => 10
[[1,4],[2,5],[3,6],[7,8]] => {{1,4},{2,5},{3,6},{7,8}} => [4,5,6,1,2,3,8,7] => 18
[[1,3],[2,5],[4,6],[7,8]] => {{1,3},{2,5},{4,6},{7,8}} => [3,5,1,6,2,4,8,7] => 18
[[1,2],[3,5],[4,6],[7,8]] => {{1,2},{3,5},{4,6},{7,8}} => [2,1,5,6,3,4,8,7] => 14
[[1,3],[2,4],[5,6],[7,8]] => {{1,3},{2,4},{5,6},{7,8}} => [3,4,1,2,6,5,8,7] => 18
[[1,2],[3,4],[5,6],[7,8]] => {{1,2},{3,4},{5,6},{7,8}} => [2,1,4,3,6,5,8,7] => 12
[[1,4],[2,5],[3,6],[7],[8]] => {{1,4},{2,5},{3,6},{7},{8}} => [4,5,6,1,2,3,7,8] => 18
[[1,7],[2,8],[3],[4],[5],[6]] => {{1,7},{2,8},{3},{4},{5},{6}} => [7,8,3,4,5,6,1,2] => 16
[[1,5],[2,6],[3],[4],[7],[8]] => {{1,5},{2,6},{3},{4},{7},{8}} => [5,6,3,4,1,2,7,8] => 32
[[1,3],[2,4],[5],[6],[7],[8]] => {{1,3},{2,4},{5},{6},{7},{8}} => [3,4,1,2,5,6,7,8] => 16
[[1,3],[2],[4],[5],[6],[7],[8]] => {{1,3},{2},{4},{5},{6},{7},{8}} => [3,2,1,4,5,6,7,8] => 16
[[1,2],[3],[4],[5],[6],[7],[8]] => {{1,2},{3},{4},{5},{6},{7},{8}} => [2,1,3,4,5,6,7,8] => 6
[[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
[[1,2,3,4,5,6,7,8,9]] => {{1,2,3,4,5,6,7,8,9}} => [2,3,4,5,6,7,8,9,1] => 0
[[1,2,3,4,5,6,7,8],[9]] => {{1,2,3,4,5,6,7,8},{9}} => [2,3,4,5,6,7,8,1,9] => 7
[[1,2,3,4,5,6,7],[8],[9]] => {{1,2,3,4,5,6,7},{8},{9}} => [2,3,4,5,6,7,1,8,9] => 12
[[1,2],[3],[4],[5],[6],[7],[8],[9]] => {{1,2},{3},{4},{5},{6},{7},{8},{9}} => [2,1,3,4,5,6,7,8,9] => 7
[[1],[2],[3],[4],[5],[6],[7],[8],[9]] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => [1,2,3,4,5,6,7,8,9] => 0
[[1,2,3,4,5,6,7,8,9,10]] => {{1,2,3,4,5,6,7,8,9,10}} => [2,3,4,5,6,7,8,9,10,1] => 0
[[1,2,3,4,5,6,7,8,9],[10]] => {{1,2,3,4,5,6,7,8,9},{10}} => [2,3,4,5,6,7,8,9,1,10] => 8
[[1,2],[3,4],[5,6],[7,8],[9,10]] => {{1,2},{3,4},{5,6},{7,8},{9,10}} => [2,1,4,3,6,5,8,7,10,9] => 20
[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => {{1,2},{3},{4},{5},{6},{7},{8},{9},{10}} => [2,1,3,4,5,6,7,8,9,10] => 8
[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => [1,2,3,4,5,6,7,8,9,10] => 0
[[1,3,4,5,6,7,8,9],[2]] => {{1,3,4,5,6,7,8,9},{2}} => [3,2,4,5,6,7,8,9,1] => 7
[[1,4,5,6,7,8,9],[2],[3]] => {{1,4,5,6,7,8,9},{2},{3}} => [4,2,3,5,6,7,8,9,1] => 12
[[1,3,4,5,6,7,8,9,10],[2]] => {{1,3,4,5,6,7,8,9,10},{2}} => [3,2,4,5,6,7,8,9,10,1] => 8
[[1,6],[2,7],[3,8],[4,9],[5,10]] => {{1,6},{2,7},{3,8},{4,9},{5,10}} => [6,7,8,9,10,1,2,3,4,5] => 0
[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]] => {{1,7},{2,8},{3,9},{4,10},{5,11},{6,12}} => [7,8,9,10,11,12,1,2,3,4,5,6] => 0
[[1,3],[2],[4],[5],[6],[7],[8],[9]] => {{1,3},{2},{4},{5},{6},{7},{8},{9}} => [3,2,1,4,5,6,7,8,9] => 19
[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]] => {{1,3},{2},{4},{5},{6},{7},{8},{9},{10}} => [3,2,1,4,5,6,7,8,9,10] => 22
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Description
The number of occurrences of the pattern 213 or of the pattern 321 in a permutation.
Map
to permutation
Description
Sends the set partition to the permutation obtained by considering the blocks as increasing cycles.
Map
rows
Description
The set partition whose blocks are the rows of the tableau.