Identifier
Values
[[1,2]] => [1,2] => [[1,2]] => {{1,2}} => 0
[[1],[2]] => [2,1] => [[1],[2]] => {{1},{2}} => 0
[[1,2,3]] => [1,2,3] => [[1,2,3]] => {{1,2,3}} => 0
[[1,3],[2]] => [2,1,3] => [[1,3],[2]] => {{1,3},{2}} => 0
[[1,2],[3]] => [3,1,2] => [[1,3],[2]] => {{1,3},{2}} => 0
[[1],[2],[3]] => [3,2,1] => [[1],[2],[3]] => {{1},{2},{3}} => 0
[[1,2,3,4]] => [1,2,3,4] => [[1,2,3,4]] => {{1,2,3,4}} => 0
[[1,3,4],[2]] => [2,1,3,4] => [[1,3,4],[2]] => {{1,3,4},{2}} => 0
[[1,2,4],[3]] => [3,1,2,4] => [[1,3,4],[2]] => {{1,3,4},{2}} => 0
[[1,2,3],[4]] => [4,1,2,3] => [[1,3,4],[2]] => {{1,3,4},{2}} => 0
[[1,3],[2,4]] => [2,4,1,3] => [[1,2],[3,4]] => {{1,2},{3,4}} => 1
[[1,2],[3,4]] => [3,4,1,2] => [[1,2],[3,4]] => {{1,2},{3,4}} => 1
[[1,4],[2],[3]] => [3,2,1,4] => [[1,4],[2],[3]] => {{1,4},{2},{3}} => 0
[[1,3],[2],[4]] => [4,2,1,3] => [[1,4],[2],[3]] => {{1,4},{2},{3}} => 0
[[1,2],[3],[4]] => [4,3,1,2] => [[1,4],[2],[3]] => {{1,4},{2},{3}} => 0
[[1],[2],[3],[4]] => [4,3,2,1] => [[1],[2],[3],[4]] => {{1},{2},{3},{4}} => 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]] => [2,1,3,4,5] => [[1,3,4,5],[2]] => {{1,3,4,5},{2}} => 0
[[1,2,4,5],[3]] => [3,1,2,4,5] => [[1,3,4,5],[2]] => {{1,3,4,5},{2}} => 0
[[1,2,3,5],[4]] => [4,1,2,3,5] => [[1,3,4,5],[2]] => {{1,3,4,5},{2}} => 0
[[1,2,3,4],[5]] => [5,1,2,3,4] => [[1,3,4,5],[2]] => {{1,3,4,5},{2}} => 0
[[1,3,5],[2,4]] => [2,4,1,3,5] => [[1,2,5],[3,4]] => {{1,2,5},{3,4}} => 1
[[1,2,5],[3,4]] => [3,4,1,2,5] => [[1,2,5],[3,4]] => {{1,2,5},{3,4}} => 1
[[1,3,4],[2,5]] => [2,5,1,3,4] => [[1,2,5],[3,4]] => {{1,2,5},{3,4}} => 1
[[1,2,4],[3,5]] => [3,5,1,2,4] => [[1,2,5],[3,4]] => {{1,2,5},{3,4}} => 1
[[1,2,3],[4,5]] => [4,5,1,2,3] => [[1,2,5],[3,4]] => {{1,2,5},{3,4}} => 1
[[1,4,5],[2],[3]] => [3,2,1,4,5] => [[1,4,5],[2],[3]] => {{1,4,5},{2},{3}} => 0
[[1,3,5],[2],[4]] => [4,2,1,3,5] => [[1,4,5],[2],[3]] => {{1,4,5},{2},{3}} => 0
[[1,2,5],[3],[4]] => [4,3,1,2,5] => [[1,4,5],[2],[3]] => {{1,4,5},{2},{3}} => 0
[[1,3,4],[2],[5]] => [5,2,1,3,4] => [[1,4,5],[2],[3]] => {{1,4,5},{2},{3}} => 0
[[1,2,4],[3],[5]] => [5,3,1,2,4] => [[1,4,5],[2],[3]] => {{1,4,5},{2},{3}} => 0
[[1,2,3],[4],[5]] => [5,4,1,2,3] => [[1,4,5],[2],[3]] => {{1,4,5},{2},{3}} => 0
[[1,4],[2,5],[3]] => [3,2,5,1,4] => [[1,3],[2,5],[4]] => {{1,3},{2,5},{4}} => 1
[[1,3],[2,5],[4]] => [4,2,5,1,3] => [[1,3],[2,5],[4]] => {{1,3},{2,5},{4}} => 1
[[1,2],[3,5],[4]] => [4,3,5,1,2] => [[1,3],[2,5],[4]] => {{1,3},{2,5},{4}} => 1
[[1,3],[2,4],[5]] => [5,2,4,1,3] => [[1,3],[2,5],[4]] => {{1,3},{2,5},{4}} => 1
[[1,2],[3,4],[5]] => [5,3,4,1,2] => [[1,3],[2,5],[4]] => {{1,3},{2,5},{4}} => 1
[[1,5],[2],[3],[4]] => [4,3,2,1,5] => [[1,5],[2],[3],[4]] => {{1,5},{2},{3},{4}} => 0
[[1,4],[2],[3],[5]] => [5,3,2,1,4] => [[1,5],[2],[3],[4]] => {{1,5},{2},{3},{4}} => 0
[[1,3],[2],[4],[5]] => [5,4,2,1,3] => [[1,5],[2],[3],[4]] => {{1,5},{2},{3},{4}} => 0
[[1,2],[3],[4],[5]] => [5,4,3,1,2] => [[1,5],[2],[3],[4]] => {{1,5},{2},{3},{4}} => 0
[[1],[2],[3],[4],[5]] => [5,4,3,2,1] => [[1],[2],[3],[4],[5]] => {{1},{2},{3},{4},{5}} => 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]] => [2,1,3,4,5,6] => [[1,3,4,5,6],[2]] => {{1,3,4,5,6},{2}} => 0
[[1,2,4,5,6],[3]] => [3,1,2,4,5,6] => [[1,3,4,5,6],[2]] => {{1,3,4,5,6},{2}} => 0
[[1,2,3,5,6],[4]] => [4,1,2,3,5,6] => [[1,3,4,5,6],[2]] => {{1,3,4,5,6},{2}} => 0
[[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => [[1,3,4,5,6],[2]] => {{1,3,4,5,6},{2}} => 0
[[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => [[1,3,4,5,6],[2]] => {{1,3,4,5,6},{2}} => 0
[[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => [[1,2,5,6],[3,4]] => {{1,2,5,6},{3,4}} => 1
[[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => [[1,2,5,6],[3,4]] => {{1,2,5,6},{3,4}} => 1
[[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => [[1,2,5,6],[3,4]] => {{1,2,5,6},{3,4}} => 1
[[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => [[1,2,5,6],[3,4]] => {{1,2,5,6},{3,4}} => 1
[[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => [[1,2,5,6],[3,4]] => {{1,2,5,6},{3,4}} => 1
[[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => [[1,2,5,6],[3,4]] => {{1,2,5,6},{3,4}} => 1
[[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => [[1,2,5,6],[3,4]] => {{1,2,5,6},{3,4}} => 1
[[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => [[1,2,5,6],[3,4]] => {{1,2,5,6},{3,4}} => 1
[[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => [[1,2,5,6],[3,4]] => {{1,2,5,6},{3,4}} => 1
[[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => [[1,4,5,6],[2],[3]] => {{1,4,5,6},{2},{3}} => 0
[[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => [[1,4,5,6],[2],[3]] => {{1,4,5,6},{2},{3}} => 0
[[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => [[1,4,5,6],[2],[3]] => {{1,4,5,6},{2},{3}} => 0
[[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => [[1,4,5,6],[2],[3]] => {{1,4,5,6},{2},{3}} => 0
[[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => [[1,4,5,6],[2],[3]] => {{1,4,5,6},{2},{3}} => 0
[[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => [[1,4,5,6],[2],[3]] => {{1,4,5,6},{2},{3}} => 0
[[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => [[1,4,5,6],[2],[3]] => {{1,4,5,6},{2},{3}} => 0
[[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => [[1,4,5,6],[2],[3]] => {{1,4,5,6},{2},{3}} => 0
[[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => [[1,4,5,6],[2],[3]] => {{1,4,5,6},{2},{3}} => 0
[[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => [[1,4,5,6],[2],[3]] => {{1,4,5,6},{2},{3}} => 0
[[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => [[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => 2
[[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => [[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => 2
[[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => [[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => 2
[[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => [[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => 2
[[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => [[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => 2
[[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => [[1,3,6],[2,5],[4]] => {{1,3,6},{2,5},{4}} => 1
[[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => [[1,3,6],[2,5],[4]] => {{1,3,6},{2,5},{4}} => 1
[[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => [[1,3,6],[2,5],[4]] => {{1,3,6},{2,5},{4}} => 1
[[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => [[1,3,6],[2,5],[4]] => {{1,3,6},{2,5},{4}} => 1
[[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => [[1,3,6],[2,5],[4]] => {{1,3,6},{2,5},{4}} => 1
[[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => [[1,3,6],[2,5],[4]] => {{1,3,6},{2,5},{4}} => 1
[[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => [[1,3,6],[2,5],[4]] => {{1,3,6},{2,5},{4}} => 1
[[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => [[1,3,6],[2,5],[4]] => {{1,3,6},{2,5},{4}} => 1
[[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => [[1,3,6],[2,5],[4]] => {{1,3,6},{2,5},{4}} => 1
[[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => [[1,3,6],[2,5],[4]] => {{1,3,6},{2,5},{4}} => 1
[[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => [[1,3,6],[2,5],[4]] => {{1,3,6},{2,5},{4}} => 1
[[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => [[1,3,6],[2,5],[4]] => {{1,3,6},{2,5},{4}} => 1
[[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => [[1,3,6],[2,5],[4]] => {{1,3,6},{2,5},{4}} => 1
[[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => [[1,3,6],[2,5],[4]] => {{1,3,6},{2,5},{4}} => 1
[[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => [[1,3,6],[2,5],[4]] => {{1,3,6},{2,5},{4}} => 1
[[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => [[1,3,6],[2,5],[4]] => {{1,3,6},{2,5},{4}} => 1
[[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => [[1,5,6],[2],[3],[4]] => {{1,5,6},{2},{3},{4}} => 0
[[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => [[1,5,6],[2],[3],[4]] => {{1,5,6},{2},{3},{4}} => 0
[[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => [[1,5,6],[2],[3],[4]] => {{1,5,6},{2},{3},{4}} => 0
[[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => [[1,5,6],[2],[3],[4]] => {{1,5,6},{2},{3},{4}} => 0
[[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => [[1,5,6],[2],[3],[4]] => {{1,5,6},{2},{3},{4}} => 0
[[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => [[1,5,6],[2],[3],[4]] => {{1,5,6},{2},{3},{4}} => 0
[[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => [[1,5,6],[2],[3],[4]] => {{1,5,6},{2},{3},{4}} => 0
[[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => [[1,5,6],[2],[3],[4]] => {{1,5,6},{2},{3},{4}} => 0
[[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => [[1,5,6],[2],[3],[4]] => {{1,5,6},{2},{3},{4}} => 0
[[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => [[1,5,6],[2],[3],[4]] => {{1,5,6},{2},{3},{4}} => 0
[[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => [[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => 3
[[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => [[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => 3
[[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => [[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => 3
>>> Load all 396 entries. <<<
[[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => [[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => 3
[[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => [[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => 3
[[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => [[1,4],[2,6],[3],[5]] => {{1,4},{2,6},{3},{5}} => 1
[[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => [[1,4],[2,6],[3],[5]] => {{1,4},{2,6},{3},{5}} => 1
[[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => [[1,4],[2,6],[3],[5]] => {{1,4},{2,6},{3},{5}} => 1
[[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => [[1,4],[2,6],[3],[5]] => {{1,4},{2,6},{3},{5}} => 1
[[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => [[1,4],[2,6],[3],[5]] => {{1,4},{2,6},{3},{5}} => 1
[[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => [[1,4],[2,6],[3],[5]] => {{1,4},{2,6},{3},{5}} => 1
[[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => [[1,4],[2,6],[3],[5]] => {{1,4},{2,6},{3},{5}} => 1
[[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => [[1,4],[2,6],[3],[5]] => {{1,4},{2,6},{3},{5}} => 1
[[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => [[1,4],[2,6],[3],[5]] => {{1,4},{2,6},{3},{5}} => 1
[[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => [[1,6],[2],[3],[4],[5]] => {{1,6},{2},{3},{4},{5}} => 0
[[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => [[1,6],[2],[3],[4],[5]] => {{1,6},{2},{3},{4},{5}} => 0
[[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => [[1,6],[2],[3],[4],[5]] => {{1,6},{2},{3},{4},{5}} => 0
[[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => [[1,6],[2],[3],[4],[5]] => {{1,6},{2},{3},{4},{5}} => 0
[[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => [[1,6],[2],[3],[4],[5]] => {{1,6},{2},{3},{4},{5}} => 0
[[1],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1] => [[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] => [[1,2,3,4,5,6,7]] => {{1,2,3,4,5,6,7}} => 0
[[1,3,4,5,6,7],[2]] => [2,1,3,4,5,6,7] => [[1,3,4,5,6,7],[2]] => {{1,3,4,5,6,7},{2}} => 0
[[1,2,4,5,6,7],[3]] => [3,1,2,4,5,6,7] => [[1,3,4,5,6,7],[2]] => {{1,3,4,5,6,7},{2}} => 0
[[1,2,3,5,6,7],[4]] => [4,1,2,3,5,6,7] => [[1,3,4,5,6,7],[2]] => {{1,3,4,5,6,7},{2}} => 0
[[1,2,3,4,6,7],[5]] => [5,1,2,3,4,6,7] => [[1,3,4,5,6,7],[2]] => {{1,3,4,5,6,7},{2}} => 0
[[1,2,3,4,5,7],[6]] => [6,1,2,3,4,5,7] => [[1,3,4,5,6,7],[2]] => {{1,3,4,5,6,7},{2}} => 0
[[1,2,3,4,5,6],[7]] => [7,1,2,3,4,5,6] => [[1,3,4,5,6,7],[2]] => {{1,3,4,5,6,7},{2}} => 0
[[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => [[1,2,5,6,7],[3,4]] => {{1,2,5,6,7},{3,4}} => 1
[[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => [[1,2,5,6,7],[3,4]] => {{1,2,5,6,7},{3,4}} => 1
[[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => [[1,2,5,6,7],[3,4]] => {{1,2,5,6,7},{3,4}} => 1
[[1,2,4,6,7],[3,5]] => [3,5,1,2,4,6,7] => [[1,2,5,6,7],[3,4]] => {{1,2,5,6,7},{3,4}} => 1
[[1,2,3,6,7],[4,5]] => [4,5,1,2,3,6,7] => [[1,2,5,6,7],[3,4]] => {{1,2,5,6,7},{3,4}} => 1
[[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => [[1,2,5,6,7],[3,4]] => {{1,2,5,6,7},{3,4}} => 1
[[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => [[1,2,5,6,7],[3,4]] => {{1,2,5,6,7},{3,4}} => 1
[[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => [[1,2,5,6,7],[3,4]] => {{1,2,5,6,7},{3,4}} => 1
[[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => [[1,2,5,6,7],[3,4]] => {{1,2,5,6,7},{3,4}} => 1
[[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => [[1,2,5,6,7],[3,4]] => {{1,2,5,6,7},{3,4}} => 1
[[1,2,4,5,6],[3,7]] => [3,7,1,2,4,5,6] => [[1,2,5,6,7],[3,4]] => {{1,2,5,6,7},{3,4}} => 1
[[1,2,3,5,6],[4,7]] => [4,7,1,2,3,5,6] => [[1,2,5,6,7],[3,4]] => {{1,2,5,6,7},{3,4}} => 1
[[1,2,3,4,6],[5,7]] => [5,7,1,2,3,4,6] => [[1,2,5,6,7],[3,4]] => {{1,2,5,6,7},{3,4}} => 1
[[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => [[1,2,5,6,7],[3,4]] => {{1,2,5,6,7},{3,4}} => 1
[[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => [[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}} => 0
[[1,3,5,6,7],[2],[4]] => [4,2,1,3,5,6,7] => [[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}} => 0
[[1,2,5,6,7],[3],[4]] => [4,3,1,2,5,6,7] => [[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}} => 0
[[1,3,4,6,7],[2],[5]] => [5,2,1,3,4,6,7] => [[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}} => 0
[[1,2,4,6,7],[3],[5]] => [5,3,1,2,4,6,7] => [[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}} => 0
[[1,2,3,6,7],[4],[5]] => [5,4,1,2,3,6,7] => [[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}} => 0
[[1,3,4,5,7],[2],[6]] => [6,2,1,3,4,5,7] => [[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}} => 0
[[1,2,4,5,7],[3],[6]] => [6,3,1,2,4,5,7] => [[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}} => 0
[[1,2,3,5,7],[4],[6]] => [6,4,1,2,3,5,7] => [[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}} => 0
[[1,2,3,4,7],[5],[6]] => [6,5,1,2,3,4,7] => [[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}} => 0
[[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => [[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}} => 0
[[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => [[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}} => 0
[[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => [[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}} => 0
[[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => [[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}} => 0
[[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => [[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}} => 0
[[1,3,5,7],[2,4,6]] => [2,4,6,1,3,5,7] => [[1,2,3,7],[4,5,6]] => {{1,2,3,7},{4,5,6}} => 2
[[1,2,5,7],[3,4,6]] => [3,4,6,1,2,5,7] => [[1,2,3,7],[4,5,6]] => {{1,2,3,7},{4,5,6}} => 2
[[1,3,4,7],[2,5,6]] => [2,5,6,1,3,4,7] => [[1,2,3,7],[4,5,6]] => {{1,2,3,7},{4,5,6}} => 2
[[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => [[1,2,3,7],[4,5,6]] => {{1,2,3,7},{4,5,6}} => 2
[[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => [[1,2,3,7],[4,5,6]] => {{1,2,3,7},{4,5,6}} => 2
[[1,3,5,6],[2,4,7]] => [2,4,7,1,3,5,6] => [[1,2,3,7],[4,5,6]] => {{1,2,3,7},{4,5,6}} => 2
[[1,2,5,6],[3,4,7]] => [3,4,7,1,2,5,6] => [[1,2,3,7],[4,5,6]] => {{1,2,3,7},{4,5,6}} => 2
[[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => [[1,2,3,7],[4,5,6]] => {{1,2,3,7},{4,5,6}} => 2
[[1,2,4,6],[3,5,7]] => [3,5,7,1,2,4,6] => [[1,2,3,7],[4,5,6]] => {{1,2,3,7},{4,5,6}} => 2
[[1,2,3,6],[4,5,7]] => [4,5,7,1,2,3,6] => [[1,2,3,7],[4,5,6]] => {{1,2,3,7},{4,5,6}} => 2
[[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => [[1,2,3,7],[4,5,6]] => {{1,2,3,7},{4,5,6}} => 2
[[1,2,4,5],[3,6,7]] => [3,6,7,1,2,4,5] => [[1,2,3,7],[4,5,6]] => {{1,2,3,7},{4,5,6}} => 2
[[1,2,3,5],[4,6,7]] => [4,6,7,1,2,3,5] => [[1,2,3,7],[4,5,6]] => {{1,2,3,7},{4,5,6}} => 2
[[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => [[1,2,3,7],[4,5,6]] => {{1,2,3,7},{4,5,6}} => 2
[[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => [[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => 1
[[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => 0
[[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => 0
[[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => 0
[[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => 0
[[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => 0
[[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => 0
[[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => 0
[[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => 0
[[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => 0
[[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => 0
[[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => 0
[[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => 0
[[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => 0
[[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => 0
[[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => 0
[[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => 0
[[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => 0
[[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => 0
[[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => 0
[[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => 0
[[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 2
[[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 2
[[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 2
[[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 2
[[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 2
[[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 2
[[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 2
[[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 2
[[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 2
[[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 2
[[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 2
[[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 2
[[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 2
[[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 2
[[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 2
[[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 2
[[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 2
[[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 2
[[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 2
[[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 2
[[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => [[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => 2
[[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 3
[[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 3
[[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 3
[[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 3
[[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 3
[[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 3
[[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 3
[[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 3
[[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 3
[[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 3
[[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 3
[[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 3
[[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 3
[[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 3
[[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 3
[[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 3
[[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 3
[[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 3
[[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 3
[[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 3
[[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => [[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => 3
[[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => [[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => 1
[[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => [[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}} => 0
[[1,5,7],[2],[3],[4],[6]] => [6,4,3,2,1,5,7] => [[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}} => 0
[[1,4,7],[2],[3],[5],[6]] => [6,5,3,2,1,4,7] => [[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}} => 0
[[1,3,7],[2],[4],[5],[6]] => [6,5,4,2,1,3,7] => [[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}} => 0
[[1,2,7],[3],[4],[5],[6]] => [6,5,4,3,1,2,7] => [[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}} => 0
[[1,5,6],[2],[3],[4],[7]] => [7,4,3,2,1,5,6] => [[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}} => 0
[[1,4,6],[2],[3],[5],[7]] => [7,5,3,2,1,4,6] => [[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}} => 0
[[1,3,6],[2],[4],[5],[7]] => [7,5,4,2,1,3,6] => [[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}} => 0
[[1,2,6],[3],[4],[5],[7]] => [7,5,4,3,1,2,6] => [[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}} => 0
[[1,4,5],[2],[3],[6],[7]] => [7,6,3,2,1,4,5] => [[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}} => 0
[[1,3,5],[2],[4],[6],[7]] => [7,6,4,2,1,3,5] => [[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}} => 0
[[1,2,5],[3],[4],[6],[7]] => [7,6,4,3,1,2,5] => [[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}} => 0
[[1,3,4],[2],[5],[6],[7]] => [7,6,5,2,1,3,4] => [[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}} => 0
[[1,2,4],[3],[5],[6],[7]] => [7,6,5,3,1,2,4] => [[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}} => 0
[[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => [[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}} => 0
[[1,5],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5] => [[1,3],[2,5],[4,7],[6]] => {{1,3},{2,5},{4,7},{6}} => 3
[[1,4],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4] => [[1,3],[2,5],[4,7],[6]] => {{1,3},{2,5},{4,7},{6}} => 3
[[1,3],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3] => [[1,3],[2,5],[4,7],[6]] => {{1,3},{2,5},{4,7},{6}} => 3
[[1,2],[3,6],[4,7],[5]] => [5,4,7,3,6,1,2] => [[1,3],[2,5],[4,7],[6]] => {{1,3},{2,5},{4,7},{6}} => 3
[[1,4],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4] => [[1,3],[2,5],[4,7],[6]] => {{1,3},{2,5},{4,7},{6}} => 3
[[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => [[1,3],[2,5],[4,7],[6]] => {{1,3},{2,5},{4,7},{6}} => 3
[[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => [[1,3],[2,5],[4,7],[6]] => {{1,3},{2,5},{4,7},{6}} => 3
[[1,3],[2,4],[5,7],[6]] => [6,5,7,2,4,1,3] => [[1,3],[2,5],[4,7],[6]] => {{1,3},{2,5},{4,7},{6}} => 3
[[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => [[1,3],[2,5],[4,7],[6]] => {{1,3},{2,5},{4,7},{6}} => 3
[[1,4],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4] => [[1,3],[2,5],[4,7],[6]] => {{1,3},{2,5},{4,7},{6}} => 3
[[1,3],[2,5],[4,6],[7]] => [7,4,6,2,5,1,3] => [[1,3],[2,5],[4,7],[6]] => {{1,3},{2,5},{4,7},{6}} => 3
[[1,2],[3,5],[4,6],[7]] => [7,4,6,3,5,1,2] => [[1,3],[2,5],[4,7],[6]] => {{1,3},{2,5},{4,7},{6}} => 3
[[1,3],[2,4],[5,6],[7]] => [7,5,6,2,4,1,3] => [[1,3],[2,5],[4,7],[6]] => {{1,3},{2,5},{4,7},{6}} => 3
[[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => [[1,3],[2,5],[4,7],[6]] => {{1,3},{2,5},{4,7},{6}} => 3
[[1,6],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6] => [[1,5],[2,7],[3],[4],[6]] => {{1,5},{2,7},{3},{4},{6}} => 1
[[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => [[1,5],[2,7],[3],[4],[6]] => {{1,5},{2,7},{3},{4},{6}} => 1
[[1,4],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4] => [[1,5],[2,7],[3],[4],[6]] => {{1,5},{2,7},{3},{4},{6}} => 1
[[1,3],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3] => [[1,5],[2,7],[3],[4],[6]] => {{1,5},{2,7},{3},{4},{6}} => 1
[[1,2],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2] => [[1,5],[2,7],[3],[4],[6]] => {{1,5},{2,7},{3},{4},{6}} => 1
[[1,5],[2,6],[3],[4],[7]] => [7,4,3,2,6,1,5] => [[1,5],[2,7],[3],[4],[6]] => {{1,5},{2,7},{3},{4},{6}} => 1
[[1,4],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4] => [[1,5],[2,7],[3],[4],[6]] => {{1,5},{2,7},{3},{4},{6}} => 1
[[1,3],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3] => [[1,5],[2,7],[3],[4],[6]] => {{1,5},{2,7},{3},{4},{6}} => 1
[[1,2],[3,6],[4],[5],[7]] => [7,5,4,3,6,1,2] => [[1,5],[2,7],[3],[4],[6]] => {{1,5},{2,7},{3},{4},{6}} => 1
[[1,4],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4] => [[1,5],[2,7],[3],[4],[6]] => {{1,5},{2,7},{3},{4},{6}} => 1
[[1,3],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3] => [[1,5],[2,7],[3],[4],[6]] => {{1,5},{2,7},{3},{4},{6}} => 1
[[1,2],[3,5],[4],[6],[7]] => [7,6,4,3,5,1,2] => [[1,5],[2,7],[3],[4],[6]] => {{1,5},{2,7},{3},{4},{6}} => 1
[[1,3],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3] => [[1,5],[2,7],[3],[4],[6]] => {{1,5},{2,7},{3},{4},{6}} => 1
[[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => [[1,5],[2,7],[3],[4],[6]] => {{1,5},{2,7},{3},{4},{6}} => 1
[[1,7],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1,7] => [[1,7],[2],[3],[4],[5],[6]] => {{1,7},{2},{3},{4},{5},{6}} => 0
[[1,6],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6] => [[1,7],[2],[3],[4],[5],[6]] => {{1,7},{2},{3},{4},{5},{6}} => 0
[[1,5],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5] => [[1,7],[2],[3],[4],[5],[6]] => {{1,7},{2},{3},{4},{5},{6}} => 0
[[1,4],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4] => [[1,7],[2],[3],[4],[5],[6]] => {{1,7},{2},{3},{4},{5},{6}} => 0
[[1,3],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3] => [[1,7],[2],[3],[4],[5],[6]] => {{1,7},{2},{3},{4},{5},{6}} => 0
[[1,2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,1,2] => [[1,7],[2],[3],[4],[5],[6]] => {{1,7},{2},{3},{4},{5},{6}} => 0
[[1],[2],[3],[4],[5],[6],[7]] => [7,6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6],[7]] => {{1},{2},{3},{4},{5},{6},{7}} => 0
[[1,2,3,4,5,6,7,8]] => [1,2,3,4,5,6,7,8] => [[1,2,3,4,5,6,7,8]] => {{1,2,3,4,5,6,7,8}} => 0
[[1,3,4,5,6,7,8],[2]] => [2,1,3,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => {{1,3,4,5,6,7,8},{2}} => 0
[[1,2,4,5,6,7,8],[3]] => [3,1,2,4,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => {{1,3,4,5,6,7,8},{2}} => 0
[[1,2,3,5,6,7,8],[4]] => [4,1,2,3,5,6,7,8] => [[1,3,4,5,6,7,8],[2]] => {{1,3,4,5,6,7,8},{2}} => 0
[[1,2,3,4,6,7,8],[5]] => [5,1,2,3,4,6,7,8] => [[1,3,4,5,6,7,8],[2]] => {{1,3,4,5,6,7,8},{2}} => 0
[[1,2,3,4,5,7,8],[6]] => [6,1,2,3,4,5,7,8] => [[1,3,4,5,6,7,8],[2]] => {{1,3,4,5,6,7,8},{2}} => 0
[[1,2,3,4,5,6,8],[7]] => [7,1,2,3,4,5,6,8] => [[1,3,4,5,6,7,8],[2]] => {{1,3,4,5,6,7,8},{2}} => 0
[[1,2,3,4,5,6,7],[8]] => [8,1,2,3,4,5,6,7] => [[1,3,4,5,6,7,8],[2]] => {{1,3,4,5,6,7,8},{2}} => 0
[[1,3,5,6,7,8],[2,4]] => [2,4,1,3,5,6,7,8] => [[1,2,5,6,7,8],[3,4]] => {{1,2,5,6,7,8},{3,4}} => 1
[[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => [[1,2,5,6,7,8],[3,4]] => {{1,2,5,6,7,8},{3,4}} => 1
[[1,3,4,6,7,8],[2,5]] => [2,5,1,3,4,6,7,8] => [[1,2,5,6,7,8],[3,4]] => {{1,2,5,6,7,8},{3,4}} => 1
[[1,2,4,6,7,8],[3,5]] => [3,5,1,2,4,6,7,8] => [[1,2,5,6,7,8],[3,4]] => {{1,2,5,6,7,8},{3,4}} => 1
[[1,2,3,6,7,8],[4,5]] => [4,5,1,2,3,6,7,8] => [[1,2,5,6,7,8],[3,4]] => {{1,2,5,6,7,8},{3,4}} => 1
[[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => [[1,2,5,6,7,8],[3,4]] => {{1,2,5,6,7,8},{3,4}} => 1
[[1,2,4,5,7,8],[3,6]] => [3,6,1,2,4,5,7,8] => [[1,2,5,6,7,8],[3,4]] => {{1,2,5,6,7,8},{3,4}} => 1
[[1,2,3,5,7,8],[4,6]] => [4,6,1,2,3,5,7,8] => [[1,2,5,6,7,8],[3,4]] => {{1,2,5,6,7,8},{3,4}} => 1
[[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => [[1,2,5,6,7,8],[3,4]] => {{1,2,5,6,7,8},{3,4}} => 1
[[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => [[1,2,5,6,7,8],[3,4]] => {{1,2,5,6,7,8},{3,4}} => 1
[[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => [[1,2,5,6,7,8],[3,4]] => {{1,2,5,6,7,8},{3,4}} => 1
[[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => [[1,2,5,6,7,8],[3,4]] => {{1,2,5,6,7,8},{3,4}} => 1
[[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => [[1,2,5,6,7,8],[3,4]] => {{1,2,5,6,7,8},{3,4}} => 1
[[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => [[1,2,5,6,7,8],[3,4]] => {{1,2,5,6,7,8},{3,4}} => 1
[[1,2,4,5,6,7],[3,8]] => [3,8,1,2,4,5,6,7] => [[1,2,5,6,7,8],[3,4]] => {{1,2,5,6,7,8},{3,4}} => 1
[[1,2,3,5,6,7],[4,8]] => [4,8,1,2,3,5,6,7] => [[1,2,5,6,7,8],[3,4]] => {{1,2,5,6,7,8},{3,4}} => 1
[[1,2,3,4,6,7],[5,8]] => [5,8,1,2,3,4,6,7] => [[1,2,5,6,7,8],[3,4]] => {{1,2,5,6,7,8},{3,4}} => 1
[[1,2,3,4,5,7],[6,8]] => [6,8,1,2,3,4,5,7] => [[1,2,5,6,7,8],[3,4]] => {{1,2,5,6,7,8},{3,4}} => 1
[[1,2,3,4,5,6],[7,8]] => [7,8,1,2,3,4,5,6] => [[1,2,5,6,7,8],[3,4]] => {{1,2,5,6,7,8},{3,4}} => 1
[[1,4,5,6,7,8],[2],[3]] => [3,2,1,4,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}} => 0
[[1,3,5,6,7,8],[2],[4]] => [4,2,1,3,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}} => 0
[[1,2,5,6,7,8],[3],[4]] => [4,3,1,2,5,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}} => 0
[[1,3,4,6,7,8],[2],[5]] => [5,2,1,3,4,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}} => 0
[[1,2,4,6,7,8],[3],[5]] => [5,3,1,2,4,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}} => 0
[[1,2,3,6,7,8],[4],[5]] => [5,4,1,2,3,6,7,8] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}} => 0
[[1,2,4,5,7,8],[3],[6]] => [6,3,1,2,4,5,7,8] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}} => 0
[[1,2,3,5,7,8],[4],[6]] => [6,4,1,2,3,5,7,8] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}} => 0
[[1,3,4,5,6,8],[2],[7]] => [7,2,1,3,4,5,6,8] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}} => 0
[[1,2,4,5,6,8],[3],[7]] => [7,3,1,2,4,5,6,8] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}} => 0
[[1,2,3,5,6,8],[4],[7]] => [7,4,1,2,3,5,6,8] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}} => 0
[[1,2,3,4,6,8],[5],[7]] => [7,5,1,2,3,4,6,8] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}} => 0
[[1,2,3,4,5,8],[6],[7]] => [7,6,1,2,3,4,5,8] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}} => 0
[[1,3,4,5,6,7],[2],[8]] => [8,2,1,3,4,5,6,7] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}} => 0
[[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}} => 0
[[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}} => 0
[[1,2,3,4,6,7],[5],[8]] => [8,5,1,2,3,4,6,7] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}} => 0
[[1,2,3,4,5,7],[6],[8]] => [8,6,1,2,3,4,5,7] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}} => 0
[[1,2,3,4,5,6],[7],[8]] => [8,7,1,2,3,4,5,6] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}} => 0
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Description
The number of occurrences of the pattern {{1},{2,3}} such that 1,2 are minimal.
Map
rows
Description
The set partition whose blocks are the rows of the tableau.
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
Robinson-Schensted recording tableau
Description
Sends a permutation to its Robinson-Schensted recording tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding recording tableau.