Identifier
Values
[[1]] => [[1]] => {{1}} => 1
[[1,2]] => [[1,2]] => {{1,2}} => 2
[[1],[2]] => [[1,2]] => {{1,2}} => 2
[[1,2,3]] => [[1,2,3]] => {{1,2,3}} => 3
[[1,3],[2]] => [[1,2],[3]] => {{1,2},{3}} => 2
[[1,2],[3]] => [[1,2,3]] => {{1,2,3}} => 3
[[1],[2],[3]] => [[1,2],[3]] => {{1,2},{3}} => 2
[[1,2,3,4]] => [[1,2,3,4]] => {{1,2,3,4}} => 4
[[1,3,4],[2]] => [[1,2,4],[3]] => {{1,2,4},{3}} => 4
[[1,2,4],[3]] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[1,2,3],[4]] => [[1,2,3,4]] => {{1,2,3,4}} => 4
[[1,3],[2,4]] => [[1,2,4],[3]] => {{1,2,4},{3}} => 4
[[1,2],[3,4]] => [[1,2,3,4]] => {{1,2,3,4}} => 4
[[1,4],[2],[3]] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 2
[[1,3],[2],[4]] => [[1,2,4],[3]] => {{1,2,4},{3}} => 4
[[1,2],[3],[4]] => [[1,2,3],[4]] => {{1,2,3},{4}} => 3
[[1],[2],[3],[4]] => [[1,2],[3],[4]] => {{1,2},{3},{4}} => 2
[[1,2,3,4,5]] => [[1,2,3,4,5]] => {{1,2,3,4,5}} => 5
[[1,3,4,5],[2]] => [[1,2,4,5],[3]] => {{1,2,4,5},{3}} => 5
[[1,2,4,5],[3]] => [[1,2,3,5],[4]] => {{1,2,3,5},{4}} => 5
[[1,2,3,5],[4]] => [[1,2,3,4],[5]] => {{1,2,3,4},{5}} => 4
[[1,2,3,4],[5]] => [[1,2,3,4,5]] => {{1,2,3,4,5}} => 5
[[1,3,5],[2,4]] => [[1,2,4],[3,5]] => {{1,2,4},{3,5}} => 4
[[1,2,5],[3,4]] => [[1,2,3,4],[5]] => {{1,2,3,4},{5}} => 4
[[1,3,4],[2,5]] => [[1,2,4,5],[3]] => {{1,2,4,5},{3}} => 5
[[1,2,4],[3,5]] => [[1,2,3,5],[4]] => {{1,2,3,5},{4}} => 5
[[1,2,3],[4,5]] => [[1,2,3,4,5]] => {{1,2,3,4,5}} => 5
[[1,4,5],[2],[3]] => [[1,2,5],[3],[4]] => {{1,2,5},{3},{4}} => 5
[[1,3,5],[2],[4]] => [[1,2,4],[3],[5]] => {{1,2,4},{3},{5}} => 4
[[1,2,5],[3],[4]] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 3
[[1,3,4],[2],[5]] => [[1,2,4,5],[3]] => {{1,2,4,5},{3}} => 5
[[1,2,4],[3],[5]] => [[1,2,3,5],[4]] => {{1,2,3,5},{4}} => 5
[[1,2,3],[4],[5]] => [[1,2,3,4],[5]] => {{1,2,3,4},{5}} => 4
[[1,4],[2,5],[3]] => [[1,2,5],[3],[4]] => {{1,2,5},{3},{4}} => 5
[[1,3],[2,5],[4]] => [[1,2,4,5],[3]] => {{1,2,4,5},{3}} => 5
[[1,2],[3,5],[4]] => [[1,2,3,5],[4]] => {{1,2,3,5},{4}} => 5
[[1,3],[2,4],[5]] => [[1,2,4],[3,5]] => {{1,2,4},{3,5}} => 4
[[1,2],[3,4],[5]] => [[1,2,3,4],[5]] => {{1,2,3,4},{5}} => 4
[[1,5],[2],[3],[4]] => [[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => 2
[[1,4],[2],[3],[5]] => [[1,2,5],[3],[4]] => {{1,2,5},{3},{4}} => 5
[[1,3],[2],[4],[5]] => [[1,2,4],[3],[5]] => {{1,2,4},{3},{5}} => 4
[[1,2],[3],[4],[5]] => [[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => 3
[[1],[2],[3],[4],[5]] => [[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => 2
[[1,2,3,4,5,6]] => [[1,2,3,4,5,6]] => {{1,2,3,4,5,6}} => 6
[[1,3,4,5,6],[2]] => [[1,2,4,5,6],[3]] => {{1,2,4,5,6},{3}} => 6
[[1,2,4,5,6],[3]] => [[1,2,3,5,6],[4]] => {{1,2,3,5,6},{4}} => 6
[[1,2,3,5,6],[4]] => [[1,2,3,4,6],[5]] => {{1,2,3,4,6},{5}} => 6
[[1,2,3,4,6],[5]] => [[1,2,3,4,5],[6]] => {{1,2,3,4,5},{6}} => 5
[[1,2,3,4,5],[6]] => [[1,2,3,4,5,6]] => {{1,2,3,4,5,6}} => 6
[[1,3,5,6],[2,4]] => [[1,2,4,6],[3,5]] => {{1,2,4,6},{3,5}} => 6
[[1,2,5,6],[3,4]] => [[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => 4
[[1,3,4,6],[2,5]] => [[1,2,4,5],[3,6]] => {{1,2,4,5},{3,6}} => 5
[[1,2,4,6],[3,5]] => [[1,2,3,5],[4,6]] => {{1,2,3,5},{4,6}} => 5
[[1,2,3,6],[4,5]] => [[1,2,3,4,5],[6]] => {{1,2,3,4,5},{6}} => 5
[[1,3,4,5],[2,6]] => [[1,2,4,5,6],[3]] => {{1,2,4,5,6},{3}} => 6
[[1,2,4,5],[3,6]] => [[1,2,3,5,6],[4]] => {{1,2,3,5,6},{4}} => 6
[[1,2,3,5],[4,6]] => [[1,2,3,4,6],[5]] => {{1,2,3,4,6},{5}} => 6
[[1,2,3,4],[5,6]] => [[1,2,3,4,5,6]] => {{1,2,3,4,5,6}} => 6
[[1,4,5,6],[2],[3]] => [[1,2,5,6],[3],[4]] => {{1,2,5,6},{3},{4}} => 6
[[1,3,5,6],[2],[4]] => [[1,2,4,6],[3],[5]] => {{1,2,4,6},{3},{5}} => 6
[[1,2,5,6],[3],[4]] => [[1,2,3,6],[4],[5]] => {{1,2,3,6},{4},{5}} => 6
[[1,3,4,6],[2],[5]] => [[1,2,4,5],[3],[6]] => {{1,2,4,5},{3},{6}} => 5
[[1,2,4,6],[3],[5]] => [[1,2,3,5],[4],[6]] => {{1,2,3,5},{4},{6}} => 5
[[1,2,3,6],[4],[5]] => [[1,2,3,4],[5],[6]] => {{1,2,3,4},{5},{6}} => 4
[[1,3,4,5],[2],[6]] => [[1,2,4,5,6],[3]] => {{1,2,4,5,6},{3}} => 6
[[1,2,4,5],[3],[6]] => [[1,2,3,5,6],[4]] => {{1,2,3,5,6},{4}} => 6
[[1,2,3,5],[4],[6]] => [[1,2,3,4,6],[5]] => {{1,2,3,4,6},{5}} => 6
[[1,2,3,4],[5],[6]] => [[1,2,3,4,5],[6]] => {{1,2,3,4,5},{6}} => 5
[[1,3,5],[2,4,6]] => [[1,2,4,6],[3,5]] => {{1,2,4,6},{3,5}} => 6
[[1,2,5],[3,4,6]] => [[1,2,3,4,6],[5]] => {{1,2,3,4,6},{5}} => 6
[[1,3,4],[2,5,6]] => [[1,2,4,5,6],[3]] => {{1,2,4,5,6},{3}} => 6
[[1,2,4],[3,5,6]] => [[1,2,3,5,6],[4]] => {{1,2,3,5,6},{4}} => 6
[[1,2,3],[4,5,6]] => [[1,2,3,4,5,6]] => {{1,2,3,4,5,6}} => 6
[[1,4,6],[2,5],[3]] => [[1,2,5],[3,6],[4]] => {{1,2,5},{3,6},{4}} => 5
[[1,3,6],[2,5],[4]] => [[1,2,4,5],[3],[6]] => {{1,2,4,5},{3},{6}} => 5
[[1,2,6],[3,5],[4]] => [[1,2,3,5],[4],[6]] => {{1,2,3,5},{4},{6}} => 5
[[1,3,6],[2,4],[5]] => [[1,2,4],[3,5],[6]] => {{1,2,4},{3,5},{6}} => 4
[[1,2,6],[3,4],[5]] => [[1,2,3,4],[5],[6]] => {{1,2,3,4},{5},{6}} => 4
[[1,4,5],[2,6],[3]] => [[1,2,5,6],[3],[4]] => {{1,2,5,6},{3},{4}} => 6
[[1,3,5],[2,6],[4]] => [[1,2,4,6],[3],[5]] => {{1,2,4,6},{3},{5}} => 6
[[1,2,5],[3,6],[4]] => [[1,2,3,6],[4],[5]] => {{1,2,3,6},{4},{5}} => 6
[[1,3,4],[2,6],[5]] => [[1,2,4,5,6],[3]] => {{1,2,4,5,6},{3}} => 6
[[1,2,4],[3,6],[5]] => [[1,2,3,5,6],[4]] => {{1,2,3,5,6},{4}} => 6
[[1,2,3],[4,6],[5]] => [[1,2,3,4,6],[5]] => {{1,2,3,4,6},{5}} => 6
[[1,3,5],[2,4],[6]] => [[1,2,4,6],[3,5]] => {{1,2,4,6},{3,5}} => 6
[[1,2,5],[3,4],[6]] => [[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => 4
[[1,3,4],[2,5],[6]] => [[1,2,4,5],[3,6]] => {{1,2,4,5},{3,6}} => 5
[[1,2,4],[3,5],[6]] => [[1,2,3,5],[4,6]] => {{1,2,3,5},{4,6}} => 5
[[1,2,3],[4,5],[6]] => [[1,2,3,4,5],[6]] => {{1,2,3,4,5},{6}} => 5
[[1,5,6],[2],[3],[4]] => [[1,2,6],[3],[4],[5]] => {{1,2,6},{3},{4},{5}} => 6
[[1,4,6],[2],[3],[5]] => [[1,2,5],[3],[4],[6]] => {{1,2,5},{3},{4},{6}} => 5
[[1,3,6],[2],[4],[5]] => [[1,2,4],[3],[5],[6]] => {{1,2,4},{3},{5},{6}} => 4
[[1,2,6],[3],[4],[5]] => [[1,2,3],[4],[5],[6]] => {{1,2,3},{4},{5},{6}} => 3
[[1,4,5],[2],[3],[6]] => [[1,2,5,6],[3],[4]] => {{1,2,5,6},{3},{4}} => 6
[[1,3,5],[2],[4],[6]] => [[1,2,4,6],[3],[5]] => {{1,2,4,6},{3},{5}} => 6
[[1,2,5],[3],[4],[6]] => [[1,2,3,6],[4],[5]] => {{1,2,3,6},{4},{5}} => 6
[[1,3,4],[2],[5],[6]] => [[1,2,4,5],[3],[6]] => {{1,2,4,5},{3},{6}} => 5
[[1,2,4],[3],[5],[6]] => [[1,2,3,5],[4],[6]] => {{1,2,3,5},{4},{6}} => 5
[[1,2,3],[4],[5],[6]] => [[1,2,3,4],[5],[6]] => {{1,2,3,4},{5},{6}} => 4
[[1,4],[2,5],[3,6]] => [[1,2,5],[3,6],[4]] => {{1,2,5},{3,6},{4}} => 5
[[1,3],[2,5],[4,6]] => [[1,2,4,5],[3,6]] => {{1,2,4,5},{3,6}} => 5
>>> Load all 526 entries. <<<
[[1,2],[3,5],[4,6]] => [[1,2,3,5],[4,6]] => {{1,2,3,5},{4,6}} => 5
[[1,3],[2,4],[5,6]] => [[1,2,4,6],[3,5]] => {{1,2,4,6},{3,5}} => 6
[[1,2],[3,4],[5,6]] => [[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => 4
[[1,5],[2,6],[3],[4]] => [[1,2,6],[3],[4],[5]] => {{1,2,6},{3},{4},{5}} => 6
[[1,4],[2,6],[3],[5]] => [[1,2,5,6],[3],[4]] => {{1,2,5,6},{3},{4}} => 6
[[1,3],[2,6],[4],[5]] => [[1,2,4,6],[3],[5]] => {{1,2,4,6},{3},{5}} => 6
[[1,2],[3,6],[4],[5]] => [[1,2,3,6],[4],[5]] => {{1,2,3,6},{4},{5}} => 6
[[1,4],[2,5],[3],[6]] => [[1,2,5],[3,6],[4]] => {{1,2,5},{3,6},{4}} => 5
[[1,3],[2,5],[4],[6]] => [[1,2,4,5],[3],[6]] => {{1,2,4,5},{3},{6}} => 5
[[1,2],[3,5],[4],[6]] => [[1,2,3,5],[4],[6]] => {{1,2,3,5},{4},{6}} => 5
[[1,3],[2,4],[5],[6]] => [[1,2,4],[3,5],[6]] => {{1,2,4},{3,5},{6}} => 4
[[1,2],[3,4],[5],[6]] => [[1,2,3,4],[5],[6]] => {{1,2,3,4},{5},{6}} => 4
[[1,6],[2],[3],[4],[5]] => [[1,2],[3],[4],[5],[6]] => {{1,2},{3},{4},{5},{6}} => 2
[[1,5],[2],[3],[4],[6]] => [[1,2,6],[3],[4],[5]] => {{1,2,6},{3},{4},{5}} => 6
[[1,4],[2],[3],[5],[6]] => [[1,2,5],[3],[4],[6]] => {{1,2,5},{3},{4},{6}} => 5
[[1,3],[2],[4],[5],[6]] => [[1,2,4],[3],[5],[6]] => {{1,2,4},{3},{5},{6}} => 4
[[1,2],[3],[4],[5],[6]] => [[1,2,3],[4],[5],[6]] => {{1,2,3},{4},{5},{6}} => 3
[[1],[2],[3],[4],[5],[6]] => [[1,2],[3],[4],[5],[6]] => {{1,2},{3},{4},{5},{6}} => 2
[[1,2,3,4,5,6,7]] => [[1,2,3,4,5,6,7]] => {{1,2,3,4,5,6,7}} => 7
[[1,3,4,5,6,7],[2]] => [[1,2,4,5,6,7],[3]] => {{1,2,4,5,6,7},{3}} => 7
[[1,2,4,5,6,7],[3]] => [[1,2,3,5,6,7],[4]] => {{1,2,3,5,6,7},{4}} => 7
[[1,2,3,5,6,7],[4]] => [[1,2,3,4,6,7],[5]] => {{1,2,3,4,6,7},{5}} => 7
[[1,2,3,4,6,7],[5]] => [[1,2,3,4,5,7],[6]] => {{1,2,3,4,5,7},{6}} => 7
[[1,2,3,4,5,7],[6]] => [[1,2,3,4,5,6],[7]] => {{1,2,3,4,5,6},{7}} => 6
[[1,2,3,4,5,6],[7]] => [[1,2,3,4,5,6,7]] => {{1,2,3,4,5,6,7}} => 7
[[1,3,5,6,7],[2,4]] => [[1,2,4,6,7],[3,5]] => {{1,2,4,6,7},{3,5}} => 7
[[1,2,5,6,7],[3,4]] => [[1,2,3,4,7],[5,6]] => {{1,2,3,4,7},{5,6}} => 7
[[1,3,4,6,7],[2,5]] => [[1,2,4,5,7],[3,6]] => {{1,2,4,5,7},{3,6}} => 7
[[1,2,4,6,7],[3,5]] => [[1,2,3,5,7],[4,6]] => {{1,2,3,5,7},{4,6}} => 7
[[1,2,3,6,7],[4,5]] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 5
[[1,3,4,5,7],[2,6]] => [[1,2,4,5,6],[3,7]] => {{1,2,4,5,6},{3,7}} => 6
[[1,2,4,5,7],[3,6]] => [[1,2,3,5,6],[4,7]] => {{1,2,3,5,6},{4,7}} => 6
[[1,2,3,5,7],[4,6]] => [[1,2,3,4,6],[5,7]] => {{1,2,3,4,6},{5,7}} => 6
[[1,2,3,4,7],[5,6]] => [[1,2,3,4,5,6],[7]] => {{1,2,3,4,5,6},{7}} => 6
[[1,3,4,5,6],[2,7]] => [[1,2,4,5,6,7],[3]] => {{1,2,4,5,6,7},{3}} => 7
[[1,2,4,5,6],[3,7]] => [[1,2,3,5,6,7],[4]] => {{1,2,3,5,6,7},{4}} => 7
[[1,2,3,5,6],[4,7]] => [[1,2,3,4,6,7],[5]] => {{1,2,3,4,6,7},{5}} => 7
[[1,2,3,4,6],[5,7]] => [[1,2,3,4,5,7],[6]] => {{1,2,3,4,5,7},{6}} => 7
[[1,2,3,4,5],[6,7]] => [[1,2,3,4,5,6,7]] => {{1,2,3,4,5,6,7}} => 7
[[1,4,5,6,7],[2],[3]] => [[1,2,5,6,7],[3],[4]] => {{1,2,5,6,7},{3},{4}} => 7
[[1,3,5,6,7],[2],[4]] => [[1,2,4,6,7],[3],[5]] => {{1,2,4,6,7},{3},{5}} => 7
[[1,2,5,6,7],[3],[4]] => [[1,2,3,6,7],[4],[5]] => {{1,2,3,6,7},{4},{5}} => 7
[[1,3,4,6,7],[2],[5]] => [[1,2,4,5,7],[3],[6]] => {{1,2,4,5,7},{3},{6}} => 7
[[1,2,4,6,7],[3],[5]] => [[1,2,3,5,7],[4],[6]] => {{1,2,3,5,7},{4},{6}} => 7
[[1,2,3,6,7],[4],[5]] => [[1,2,3,4,7],[5],[6]] => {{1,2,3,4,7},{5},{6}} => 7
[[1,3,4,5,7],[2],[6]] => [[1,2,4,5,6],[3],[7]] => {{1,2,4,5,6},{3},{7}} => 6
[[1,2,4,5,7],[3],[6]] => [[1,2,3,5,6],[4],[7]] => {{1,2,3,5,6},{4},{7}} => 6
[[1,2,3,5,7],[4],[6]] => [[1,2,3,4,6],[5],[7]] => {{1,2,3,4,6},{5},{7}} => 6
[[1,2,3,4,7],[5],[6]] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 5
[[1,3,4,5,6],[2],[7]] => [[1,2,4,5,6,7],[3]] => {{1,2,4,5,6,7},{3}} => 7
[[1,2,4,5,6],[3],[7]] => [[1,2,3,5,6,7],[4]] => {{1,2,3,5,6,7},{4}} => 7
[[1,2,3,5,6],[4],[7]] => [[1,2,3,4,6,7],[5]] => {{1,2,3,4,6,7},{5}} => 7
[[1,2,3,4,6],[5],[7]] => [[1,2,3,4,5,7],[6]] => {{1,2,3,4,5,7},{6}} => 7
[[1,2,3,4,5],[6],[7]] => [[1,2,3,4,5,6],[7]] => {{1,2,3,4,5,6},{7}} => 6
[[1,3,5,7],[2,4,6]] => [[1,2,4,6],[3,5,7]] => {{1,2,4,6},{3,5,7}} => 6
[[1,2,5,7],[3,4,6]] => [[1,2,3,4,6],[5,7]] => {{1,2,3,4,6},{5,7}} => 6
[[1,3,4,7],[2,5,6]] => [[1,2,4,5,6],[3,7]] => {{1,2,4,5,6},{3,7}} => 6
[[1,2,4,7],[3,5,6]] => [[1,2,3,5,6],[4,7]] => {{1,2,3,5,6},{4,7}} => 6
[[1,2,3,7],[4,5,6]] => [[1,2,3,4,5,6],[7]] => {{1,2,3,4,5,6},{7}} => 6
[[1,3,5,6],[2,4,7]] => [[1,2,4,6,7],[3,5]] => {{1,2,4,6,7},{3,5}} => 7
[[1,2,5,6],[3,4,7]] => [[1,2,3,4,7],[5,6]] => {{1,2,3,4,7},{5,6}} => 7
[[1,3,4,6],[2,5,7]] => [[1,2,4,5,7],[3,6]] => {{1,2,4,5,7},{3,6}} => 7
[[1,2,4,6],[3,5,7]] => [[1,2,3,5,7],[4,6]] => {{1,2,3,5,7},{4,6}} => 7
[[1,2,3,6],[4,5,7]] => [[1,2,3,4,5,7],[6]] => {{1,2,3,4,5,7},{6}} => 7
[[1,3,4,5],[2,6,7]] => [[1,2,4,5,6,7],[3]] => {{1,2,4,5,6,7},{3}} => 7
[[1,2,4,5],[3,6,7]] => [[1,2,3,5,6,7],[4]] => {{1,2,3,5,6,7},{4}} => 7
[[1,2,3,5],[4,6,7]] => [[1,2,3,4,6,7],[5]] => {{1,2,3,4,6,7},{5}} => 7
[[1,2,3,4],[5,6,7]] => [[1,2,3,4,5,6,7]] => {{1,2,3,4,5,6,7}} => 7
[[1,4,6,7],[2,5],[3]] => [[1,2,5,7],[3,6],[4]] => {{1,2,5,7},{3,6},{4}} => 7
[[1,3,6,7],[2,5],[4]] => [[1,2,4,5],[3,7],[6]] => {{1,2,4,5},{3,7},{6}} => 5
[[1,2,6,7],[3,5],[4]] => [[1,2,3,5],[4,7],[6]] => {{1,2,3,5},{4,7},{6}} => 5
[[1,3,6,7],[2,4],[5]] => [[1,2,4,7],[3,5],[6]] => {{1,2,4,7},{3,5},{6}} => 7
[[1,2,6,7],[3,4],[5]] => [[1,2,3,4],[5,7],[6]] => {{1,2,3,4},{5,7},{6}} => 4
[[1,4,5,7],[2,6],[3]] => [[1,2,5,6],[3,7],[4]] => {{1,2,5,6},{3,7},{4}} => 6
[[1,3,5,7],[2,6],[4]] => [[1,2,4,6],[3,7],[5]] => {{1,2,4,6},{3,7},{5}} => 6
[[1,2,5,7],[3,6],[4]] => [[1,2,3,6],[4,7],[5]] => {{1,2,3,6},{4,7},{5}} => 6
[[1,3,4,7],[2,6],[5]] => [[1,2,4,5,6],[3],[7]] => {{1,2,4,5,6},{3},{7}} => 6
[[1,2,4,7],[3,6],[5]] => [[1,2,3,5,6],[4],[7]] => {{1,2,3,5,6},{4},{7}} => 6
[[1,2,3,7],[4,6],[5]] => [[1,2,3,4,6],[5],[7]] => {{1,2,3,4,6},{5},{7}} => 6
[[1,3,5,7],[2,4],[6]] => [[1,2,4,6],[3,5],[7]] => {{1,2,4,6},{3,5},{7}} => 6
[[1,2,5,7],[3,4],[6]] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 4
[[1,3,4,7],[2,5],[6]] => [[1,2,4,5],[3,6],[7]] => {{1,2,4,5},{3,6},{7}} => 5
[[1,2,4,7],[3,5],[6]] => [[1,2,3,5],[4,6],[7]] => {{1,2,3,5},{4,6},{7}} => 5
[[1,2,3,7],[4,5],[6]] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 5
[[1,4,5,6],[2,7],[3]] => [[1,2,5,6,7],[3],[4]] => {{1,2,5,6,7},{3},{4}} => 7
[[1,3,5,6],[2,7],[4]] => [[1,2,4,6,7],[3],[5]] => {{1,2,4,6,7},{3},{5}} => 7
[[1,2,5,6],[3,7],[4]] => [[1,2,3,6,7],[4],[5]] => {{1,2,3,6,7},{4},{5}} => 7
[[1,3,4,6],[2,7],[5]] => [[1,2,4,5,7],[3],[6]] => {{1,2,4,5,7},{3},{6}} => 7
[[1,2,4,6],[3,7],[5]] => [[1,2,3,5,7],[4],[6]] => {{1,2,3,5,7},{4},{6}} => 7
[[1,2,3,6],[4,7],[5]] => [[1,2,3,4,7],[5],[6]] => {{1,2,3,4,7},{5},{6}} => 7
[[1,3,4,5],[2,7],[6]] => [[1,2,4,5,6,7],[3]] => {{1,2,4,5,6,7},{3}} => 7
[[1,2,4,5],[3,7],[6]] => [[1,2,3,5,6,7],[4]] => {{1,2,3,5,6,7},{4}} => 7
[[1,2,3,5],[4,7],[6]] => [[1,2,3,4,6,7],[5]] => {{1,2,3,4,6,7},{5}} => 7
[[1,2,3,4],[5,7],[6]] => [[1,2,3,4,5,7],[6]] => {{1,2,3,4,5,7},{6}} => 7
[[1,3,5,6],[2,4],[7]] => [[1,2,4,6,7],[3,5]] => {{1,2,4,6,7},{3,5}} => 7
[[1,2,5,6],[3,4],[7]] => [[1,2,3,4,7],[5,6]] => {{1,2,3,4,7},{5,6}} => 7
[[1,3,4,6],[2,5],[7]] => [[1,2,4,5,7],[3,6]] => {{1,2,4,5,7},{3,6}} => 7
[[1,2,4,6],[3,5],[7]] => [[1,2,3,5,7],[4,6]] => {{1,2,3,5,7},{4,6}} => 7
[[1,2,3,6],[4,5],[7]] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 5
[[1,3,4,5],[2,6],[7]] => [[1,2,4,5,6],[3,7]] => {{1,2,4,5,6},{3,7}} => 6
[[1,2,4,5],[3,6],[7]] => [[1,2,3,5,6],[4,7]] => {{1,2,3,5,6},{4,7}} => 6
[[1,2,3,5],[4,6],[7]] => [[1,2,3,4,6],[5,7]] => {{1,2,3,4,6},{5,7}} => 6
[[1,2,3,4],[5,6],[7]] => [[1,2,3,4,5,6],[7]] => {{1,2,3,4,5,6},{7}} => 6
[[1,5,6,7],[2],[3],[4]] => [[1,2,6,7],[3],[4],[5]] => {{1,2,6,7},{3},{4},{5}} => 7
[[1,4,6,7],[2],[3],[5]] => [[1,2,5,7],[3],[4],[6]] => {{1,2,5,7},{3},{4},{6}} => 7
[[1,3,6,7],[2],[4],[5]] => [[1,2,4,7],[3],[5],[6]] => {{1,2,4,7},{3},{5},{6}} => 7
[[1,2,6,7],[3],[4],[5]] => [[1,2,3,7],[4],[5],[6]] => {{1,2,3,7},{4},{5},{6}} => 7
[[1,4,5,7],[2],[3],[6]] => [[1,2,5,6],[3],[4],[7]] => {{1,2,5,6},{3},{4},{7}} => 6
[[1,3,5,7],[2],[4],[6]] => [[1,2,4,6],[3],[5],[7]] => {{1,2,4,6},{3},{5},{7}} => 6
[[1,2,5,7],[3],[4],[6]] => [[1,2,3,6],[4],[5],[7]] => {{1,2,3,6},{4},{5},{7}} => 6
[[1,3,4,7],[2],[5],[6]] => [[1,2,4,5],[3],[6],[7]] => {{1,2,4,5},{3},{6},{7}} => 5
[[1,2,4,7],[3],[5],[6]] => [[1,2,3,5],[4],[6],[7]] => {{1,2,3,5},{4},{6},{7}} => 5
[[1,2,3,7],[4],[5],[6]] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 4
[[1,4,5,6],[2],[3],[7]] => [[1,2,5,6,7],[3],[4]] => {{1,2,5,6,7},{3},{4}} => 7
[[1,3,5,6],[2],[4],[7]] => [[1,2,4,6,7],[3],[5]] => {{1,2,4,6,7},{3},{5}} => 7
[[1,2,5,6],[3],[4],[7]] => [[1,2,3,6,7],[4],[5]] => {{1,2,3,6,7},{4},{5}} => 7
[[1,3,4,6],[2],[5],[7]] => [[1,2,4,5,7],[3],[6]] => {{1,2,4,5,7},{3},{6}} => 7
[[1,2,4,6],[3],[5],[7]] => [[1,2,3,5,7],[4],[6]] => {{1,2,3,5,7},{4},{6}} => 7
[[1,2,3,6],[4],[5],[7]] => [[1,2,3,4,7],[5],[6]] => {{1,2,3,4,7},{5},{6}} => 7
[[1,3,4,5],[2],[6],[7]] => [[1,2,4,5,6],[3],[7]] => {{1,2,4,5,6},{3},{7}} => 6
[[1,2,4,5],[3],[6],[7]] => [[1,2,3,5,6],[4],[7]] => {{1,2,3,5,6},{4},{7}} => 6
[[1,2,3,5],[4],[6],[7]] => [[1,2,3,4,6],[5],[7]] => {{1,2,3,4,6},{5},{7}} => 6
[[1,2,3,4],[5],[6],[7]] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 5
[[1,4,6],[2,5,7],[3]] => [[1,2,5,7],[3,6],[4]] => {{1,2,5,7},{3,6},{4}} => 7
[[1,3,6],[2,5,7],[4]] => [[1,2,4,5,7],[3],[6]] => {{1,2,4,5,7},{3},{6}} => 7
[[1,2,6],[3,5,7],[4]] => [[1,2,3,5,7],[4],[6]] => {{1,2,3,5,7},{4},{6}} => 7
[[1,3,6],[2,4,7],[5]] => [[1,2,4,7],[3,5],[6]] => {{1,2,4,7},{3,5},{6}} => 7
[[1,2,6],[3,4,7],[5]] => [[1,2,3,4,7],[5],[6]] => {{1,2,3,4,7},{5},{6}} => 7
[[1,4,5],[2,6,7],[3]] => [[1,2,5,6,7],[3],[4]] => {{1,2,5,6,7},{3},{4}} => 7
[[1,3,5],[2,6,7],[4]] => [[1,2,4,6,7],[3],[5]] => {{1,2,4,6,7},{3},{5}} => 7
[[1,2,5],[3,6,7],[4]] => [[1,2,3,6,7],[4],[5]] => {{1,2,3,6,7},{4},{5}} => 7
[[1,3,4],[2,6,7],[5]] => [[1,2,4,5,6,7],[3]] => {{1,2,4,5,6,7},{3}} => 7
[[1,2,4],[3,6,7],[5]] => [[1,2,3,5,6,7],[4]] => {{1,2,3,5,6,7},{4}} => 7
[[1,2,3],[4,6,7],[5]] => [[1,2,3,4,6,7],[5]] => {{1,2,3,4,6,7},{5}} => 7
[[1,3,5],[2,4,7],[6]] => [[1,2,4,6,7],[3,5]] => {{1,2,4,6,7},{3,5}} => 7
[[1,2,5],[3,4,7],[6]] => [[1,2,3,4,7],[5,6]] => {{1,2,3,4,7},{5,6}} => 7
[[1,3,4],[2,5,7],[6]] => [[1,2,4,5,7],[3,6]] => {{1,2,4,5,7},{3,6}} => 7
[[1,2,4],[3,5,7],[6]] => [[1,2,3,5,7],[4,6]] => {{1,2,3,5,7},{4,6}} => 7
[[1,2,3],[4,5,7],[6]] => [[1,2,3,4,5,7],[6]] => {{1,2,3,4,5,7},{6}} => 7
[[1,3,5],[2,4,6],[7]] => [[1,2,4,6],[3,5,7]] => {{1,2,4,6},{3,5,7}} => 6
[[1,2,5],[3,4,6],[7]] => [[1,2,3,4,6],[5,7]] => {{1,2,3,4,6},{5,7}} => 6
[[1,3,4],[2,5,6],[7]] => [[1,2,4,5,6],[3,7]] => {{1,2,4,5,6},{3,7}} => 6
[[1,2,4],[3,5,6],[7]] => [[1,2,3,5,6],[4,7]] => {{1,2,3,5,6},{4,7}} => 6
[[1,2,3],[4,5,6],[7]] => [[1,2,3,4,5,6],[7]] => {{1,2,3,4,5,6},{7}} => 6
[[1,4,7],[2,5],[3,6]] => [[1,2,5],[3,6],[4,7]] => {{1,2,5},{3,6},{4,7}} => 5
[[1,3,7],[2,5],[4,6]] => [[1,2,4,5],[3,6],[7]] => {{1,2,4,5},{3,6},{7}} => 5
[[1,2,7],[3,5],[4,6]] => [[1,2,3,5],[4,6],[7]] => {{1,2,3,5},{4,6},{7}} => 5
[[1,3,7],[2,4],[5,6]] => [[1,2,4,6],[3,5],[7]] => {{1,2,4,6},{3,5},{7}} => 6
[[1,2,7],[3,4],[5,6]] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 4
[[1,4,6],[2,5],[3,7]] => [[1,2,5,7],[3,6],[4]] => {{1,2,5,7},{3,6},{4}} => 7
[[1,3,6],[2,5],[4,7]] => [[1,2,4,5],[3,7],[6]] => {{1,2,4,5},{3,7},{6}} => 5
[[1,2,6],[3,5],[4,7]] => [[1,2,3,5],[4,7],[6]] => {{1,2,3,5},{4,7},{6}} => 5
[[1,3,6],[2,4],[5,7]] => [[1,2,4,7],[3,5],[6]] => {{1,2,4,7},{3,5},{6}} => 7
[[1,2,6],[3,4],[5,7]] => [[1,2,3,4],[5,7],[6]] => {{1,2,3,4},{5,7},{6}} => 4
[[1,4,5],[2,6],[3,7]] => [[1,2,5,6],[3,7],[4]] => {{1,2,5,6},{3,7},{4}} => 6
[[1,3,5],[2,6],[4,7]] => [[1,2,4,6],[3,7],[5]] => {{1,2,4,6},{3,7},{5}} => 6
[[1,2,5],[3,6],[4,7]] => [[1,2,3,6],[4,7],[5]] => {{1,2,3,6},{4,7},{5}} => 6
[[1,3,4],[2,6],[5,7]] => [[1,2,4,5,6],[3,7]] => {{1,2,4,5,6},{3,7}} => 6
[[1,2,4],[3,6],[5,7]] => [[1,2,3,5,6],[4,7]] => {{1,2,3,5,6},{4,7}} => 6
[[1,2,3],[4,6],[5,7]] => [[1,2,3,4,6],[5,7]] => {{1,2,3,4,6},{5,7}} => 6
[[1,3,5],[2,4],[6,7]] => [[1,2,4,6,7],[3,5]] => {{1,2,4,6,7},{3,5}} => 7
[[1,2,5],[3,4],[6,7]] => [[1,2,3,4,7],[5,6]] => {{1,2,3,4,7},{5,6}} => 7
[[1,3,4],[2,5],[6,7]] => [[1,2,4,5,7],[3,6]] => {{1,2,4,5,7},{3,6}} => 7
[[1,2,4],[3,5],[6,7]] => [[1,2,3,5,7],[4,6]] => {{1,2,3,5,7},{4,6}} => 7
[[1,2,3],[4,5],[6,7]] => [[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => 5
[[1,5,7],[2,6],[3],[4]] => [[1,2,6],[3,7],[4],[5]] => {{1,2,6},{3,7},{4},{5}} => 6
[[1,4,7],[2,6],[3],[5]] => [[1,2,5,6],[3],[4],[7]] => {{1,2,5,6},{3},{4},{7}} => 6
[[1,3,7],[2,6],[4],[5]] => [[1,2,4,6],[3],[5],[7]] => {{1,2,4,6},{3},{5},{7}} => 6
[[1,2,7],[3,6],[4],[5]] => [[1,2,3,6],[4],[5],[7]] => {{1,2,3,6},{4},{5},{7}} => 6
[[1,4,7],[2,5],[3],[6]] => [[1,2,5],[3,6],[4],[7]] => {{1,2,5},{3,6},{4},{7}} => 5
[[1,3,7],[2,5],[4],[6]] => [[1,2,4,5],[3],[6],[7]] => {{1,2,4,5},{3},{6},{7}} => 5
[[1,2,7],[3,5],[4],[6]] => [[1,2,3,5],[4],[6],[7]] => {{1,2,3,5},{4},{6},{7}} => 5
[[1,3,7],[2,4],[5],[6]] => [[1,2,4],[3,5],[6],[7]] => {{1,2,4},{3,5},{6},{7}} => 4
[[1,2,7],[3,4],[5],[6]] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 4
[[1,5,6],[2,7],[3],[4]] => [[1,2,6,7],[3],[4],[5]] => {{1,2,6,7},{3},{4},{5}} => 7
[[1,4,6],[2,7],[3],[5]] => [[1,2,5,7],[3],[4],[6]] => {{1,2,5,7},{3},{4},{6}} => 7
[[1,3,6],[2,7],[4],[5]] => [[1,2,4,7],[3],[5],[6]] => {{1,2,4,7},{3},{5},{6}} => 7
[[1,2,6],[3,7],[4],[5]] => [[1,2,3,7],[4],[5],[6]] => {{1,2,3,7},{4},{5},{6}} => 7
[[1,4,5],[2,7],[3],[6]] => [[1,2,5,6,7],[3],[4]] => {{1,2,5,6,7},{3},{4}} => 7
[[1,3,5],[2,7],[4],[6]] => [[1,2,4,6,7],[3],[5]] => {{1,2,4,6,7},{3},{5}} => 7
[[1,2,5],[3,7],[4],[6]] => [[1,2,3,6,7],[4],[5]] => {{1,2,3,6,7},{4},{5}} => 7
[[1,3,4],[2,7],[5],[6]] => [[1,2,4,5,7],[3],[6]] => {{1,2,4,5,7},{3},{6}} => 7
[[1,2,4],[3,7],[5],[6]] => [[1,2,3,5,7],[4],[6]] => {{1,2,3,5,7},{4},{6}} => 7
[[1,2,3],[4,7],[5],[6]] => [[1,2,3,4,7],[5],[6]] => {{1,2,3,4,7},{5},{6}} => 7
[[1,4,6],[2,5],[3],[7]] => [[1,2,5,7],[3,6],[4]] => {{1,2,5,7},{3,6},{4}} => 7
[[1,3,6],[2,5],[4],[7]] => [[1,2,4,5],[3,7],[6]] => {{1,2,4,5},{3,7},{6}} => 5
[[1,2,6],[3,5],[4],[7]] => [[1,2,3,5],[4,7],[6]] => {{1,2,3,5},{4,7},{6}} => 5
[[1,3,6],[2,4],[5],[7]] => [[1,2,4,7],[3,5],[6]] => {{1,2,4,7},{3,5},{6}} => 7
[[1,2,6],[3,4],[5],[7]] => [[1,2,3,4],[5,7],[6]] => {{1,2,3,4},{5,7},{6}} => 4
[[1,4,5],[2,6],[3],[7]] => [[1,2,5,6],[3,7],[4]] => {{1,2,5,6},{3,7},{4}} => 6
[[1,3,5],[2,6],[4],[7]] => [[1,2,4,6],[3,7],[5]] => {{1,2,4,6},{3,7},{5}} => 6
[[1,2,5],[3,6],[4],[7]] => [[1,2,3,6],[4,7],[5]] => {{1,2,3,6},{4,7},{5}} => 6
[[1,3,4],[2,6],[5],[7]] => [[1,2,4,5,6],[3],[7]] => {{1,2,4,5,6},{3},{7}} => 6
[[1,2,4],[3,6],[5],[7]] => [[1,2,3,5,6],[4],[7]] => {{1,2,3,5,6},{4},{7}} => 6
[[1,2,3],[4,6],[5],[7]] => [[1,2,3,4,6],[5],[7]] => {{1,2,3,4,6},{5},{7}} => 6
[[1,3,5],[2,4],[6],[7]] => [[1,2,4,6],[3,5],[7]] => {{1,2,4,6},{3,5},{7}} => 6
[[1,2,5],[3,4],[6],[7]] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 4
[[1,3,4],[2,5],[6],[7]] => [[1,2,4,5],[3,6],[7]] => {{1,2,4,5},{3,6},{7}} => 5
[[1,2,4],[3,5],[6],[7]] => [[1,2,3,5],[4,6],[7]] => {{1,2,3,5},{4,6},{7}} => 5
[[1,2,3],[4,5],[6],[7]] => [[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => 5
[[1,6,7],[2],[3],[4],[5]] => [[1,2,7],[3],[4],[5],[6]] => {{1,2,7},{3},{4},{5},{6}} => 7
[[1,5,7],[2],[3],[4],[6]] => [[1,2,6],[3],[4],[5],[7]] => {{1,2,6},{3},{4},{5},{7}} => 6
[[1,4,7],[2],[3],[5],[6]] => [[1,2,5],[3],[4],[6],[7]] => {{1,2,5},{3},{4},{6},{7}} => 5
[[1,3,7],[2],[4],[5],[6]] => [[1,2,4],[3],[5],[6],[7]] => {{1,2,4},{3},{5},{6},{7}} => 4
[[1,2,7],[3],[4],[5],[6]] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 3
[[1,5,6],[2],[3],[4],[7]] => [[1,2,6,7],[3],[4],[5]] => {{1,2,6,7},{3},{4},{5}} => 7
[[1,4,6],[2],[3],[5],[7]] => [[1,2,5,7],[3],[4],[6]] => {{1,2,5,7},{3},{4},{6}} => 7
[[1,3,6],[2],[4],[5],[7]] => [[1,2,4,7],[3],[5],[6]] => {{1,2,4,7},{3},{5},{6}} => 7
[[1,2,6],[3],[4],[5],[7]] => [[1,2,3,7],[4],[5],[6]] => {{1,2,3,7},{4},{5},{6}} => 7
[[1,4,5],[2],[3],[6],[7]] => [[1,2,5,6],[3],[4],[7]] => {{1,2,5,6},{3},{4},{7}} => 6
[[1,3,5],[2],[4],[6],[7]] => [[1,2,4,6],[3],[5],[7]] => {{1,2,4,6},{3},{5},{7}} => 6
[[1,2,5],[3],[4],[6],[7]] => [[1,2,3,6],[4],[5],[7]] => {{1,2,3,6},{4},{5},{7}} => 6
[[1,3,4],[2],[5],[6],[7]] => [[1,2,4,5],[3],[6],[7]] => {{1,2,4,5},{3},{6},{7}} => 5
[[1,2,4],[3],[5],[6],[7]] => [[1,2,3,5],[4],[6],[7]] => {{1,2,3,5},{4},{6},{7}} => 5
[[1,2,3],[4],[5],[6],[7]] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 4
[[1,5],[2,6],[3,7],[4]] => [[1,2,6],[3,7],[4],[5]] => {{1,2,6},{3,7},{4},{5}} => 6
[[1,4],[2,6],[3,7],[5]] => [[1,2,5,6],[3,7],[4]] => {{1,2,5,6},{3,7},{4}} => 6
[[1,3],[2,6],[4,7],[5]] => [[1,2,4,6],[3,7],[5]] => {{1,2,4,6},{3,7},{5}} => 6
[[1,2],[3,6],[4,7],[5]] => [[1,2,3,6],[4,7],[5]] => {{1,2,3,6},{4,7},{5}} => 6
[[1,4],[2,5],[3,7],[6]] => [[1,2,5,7],[3,6],[4]] => {{1,2,5,7},{3,6},{4}} => 7
[[1,3],[2,5],[4,7],[6]] => [[1,2,4,5],[3,7],[6]] => {{1,2,4,5},{3,7},{6}} => 5
[[1,2],[3,5],[4,7],[6]] => [[1,2,3,5],[4,7],[6]] => {{1,2,3,5},{4,7},{6}} => 5
[[1,3],[2,4],[5,7],[6]] => [[1,2,4,7],[3,5],[6]] => {{1,2,4,7},{3,5},{6}} => 7
[[1,2],[3,4],[5,7],[6]] => [[1,2,3,4],[5,7],[6]] => {{1,2,3,4},{5,7},{6}} => 4
[[1,4],[2,5],[3,6],[7]] => [[1,2,5],[3,6],[4,7]] => {{1,2,5},{3,6},{4,7}} => 5
[[1,3],[2,5],[4,6],[7]] => [[1,2,4,5],[3,6],[7]] => {{1,2,4,5},{3,6},{7}} => 5
[[1,2],[3,5],[4,6],[7]] => [[1,2,3,5],[4,6],[7]] => {{1,2,3,5},{4,6},{7}} => 5
[[1,3],[2,4],[5,6],[7]] => [[1,2,4,6],[3,5],[7]] => {{1,2,4,6},{3,5},{7}} => 6
[[1,2],[3,4],[5,6],[7]] => [[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => 4
[[1,6],[2,7],[3],[4],[5]] => [[1,2,7],[3],[4],[5],[6]] => {{1,2,7},{3},{4},{5},{6}} => 7
[[1,5],[2,7],[3],[4],[6]] => [[1,2,6,7],[3],[4],[5]] => {{1,2,6,7},{3},{4},{5}} => 7
[[1,4],[2,7],[3],[5],[6]] => [[1,2,5,7],[3],[4],[6]] => {{1,2,5,7},{3},{4},{6}} => 7
[[1,3],[2,7],[4],[5],[6]] => [[1,2,4,7],[3],[5],[6]] => {{1,2,4,7},{3},{5},{6}} => 7
[[1,2],[3,7],[4],[5],[6]] => [[1,2,3,7],[4],[5],[6]] => {{1,2,3,7},{4},{5},{6}} => 7
[[1,5],[2,6],[3],[4],[7]] => [[1,2,6],[3,7],[4],[5]] => {{1,2,6},{3,7},{4},{5}} => 6
[[1,4],[2,6],[3],[5],[7]] => [[1,2,5,6],[3],[4],[7]] => {{1,2,5,6},{3},{4},{7}} => 6
[[1,3],[2,6],[4],[5],[7]] => [[1,2,4,6],[3],[5],[7]] => {{1,2,4,6},{3},{5},{7}} => 6
[[1,2],[3,6],[4],[5],[7]] => [[1,2,3,6],[4],[5],[7]] => {{1,2,3,6},{4},{5},{7}} => 6
[[1,4],[2,5],[3],[6],[7]] => [[1,2,5],[3,6],[4],[7]] => {{1,2,5},{3,6},{4},{7}} => 5
[[1,3],[2,5],[4],[6],[7]] => [[1,2,4,5],[3],[6],[7]] => {{1,2,4,5},{3},{6},{7}} => 5
[[1,2],[3,5],[4],[6],[7]] => [[1,2,3,5],[4],[6],[7]] => {{1,2,3,5},{4},{6},{7}} => 5
[[1,3],[2,4],[5],[6],[7]] => [[1,2,4],[3,5],[6],[7]] => {{1,2,4},{3,5},{6},{7}} => 4
[[1,2],[3,4],[5],[6],[7]] => [[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => 4
[[1,7],[2],[3],[4],[5],[6]] => [[1,2],[3],[4],[5],[6],[7]] => {{1,2},{3},{4},{5},{6},{7}} => 2
[[1,6],[2],[3],[4],[5],[7]] => [[1,2,7],[3],[4],[5],[6]] => {{1,2,7},{3},{4},{5},{6}} => 7
[[1,5],[2],[3],[4],[6],[7]] => [[1,2,6],[3],[4],[5],[7]] => {{1,2,6},{3},{4},{5},{7}} => 6
[[1,4],[2],[3],[5],[6],[7]] => [[1,2,5],[3],[4],[6],[7]] => {{1,2,5},{3},{4},{6},{7}} => 5
[[1,3],[2],[4],[5],[6],[7]] => [[1,2,4],[3],[5],[6],[7]] => {{1,2,4},{3},{5},{6},{7}} => 4
[[1,2],[3],[4],[5],[6],[7]] => [[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => 3
[[1],[2],[3],[4],[5],[6],[7]] => [[1,2],[3],[4],[5],[6],[7]] => {{1,2},{3},{4},{5},{6},{7}} => 2
[[1,2,3,4,5,6,7,8]] => [[1,2,3,4,5,6,7,8]] => {{1,2,3,4,5,6,7,8}} => 8
[[1,3,4,5,6,7,8],[2]] => [[1,2,4,5,6,7,8],[3]] => {{1,2,4,5,6,7,8},{3}} => 8
[[1,2,4,5,6,7,8],[3]] => [[1,2,3,5,6,7,8],[4]] => {{1,2,3,5,6,7,8},{4}} => 8
[[1,2,3,5,6,7,8],[4]] => [[1,2,3,4,6,7,8],[5]] => {{1,2,3,4,6,7,8},{5}} => 8
[[1,2,3,4,6,7,8],[5]] => [[1,2,3,4,5,7,8],[6]] => {{1,2,3,4,5,7,8},{6}} => 8
[[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,5,6,8],[7]] => {{1,2,3,4,5,6,8},{7}} => 8
[[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,6,7],[8]] => {{1,2,3,4,5,6,7},{8}} => 7
[[1,2,3,4,5,6,7],[8]] => [[1,2,3,4,5,6,7,8]] => {{1,2,3,4,5,6,7,8}} => 8
[[1,3,5,6,7,8],[2,4]] => [[1,2,4,6,7,8],[3,5]] => {{1,2,4,6,7,8},{3,5}} => 8
[[1,2,5,6,7,8],[3,4]] => [[1,2,3,4,7,8],[5,6]] => {{1,2,3,4,7,8},{5,6}} => 8
[[1,3,4,6,7,8],[2,5]] => [[1,2,4,5,7,8],[3,6]] => {{1,2,4,5,7,8},{3,6}} => 8
[[1,2,4,6,7,8],[3,5]] => [[1,2,3,5,7,8],[4,6]] => {{1,2,3,5,7,8},{4,6}} => 8
[[1,2,3,6,7,8],[4,5]] => [[1,2,3,4,5,8],[6,7]] => {{1,2,3,4,5,8},{6,7}} => 8
[[1,3,4,5,7,8],[2,6]] => [[1,2,4,5,6,8],[3,7]] => {{1,2,4,5,6,8},{3,7}} => 8
[[1,2,4,5,7,8],[3,6]] => [[1,2,3,5,6,8],[4,7]] => {{1,2,3,5,6,8},{4,7}} => 8
[[1,2,3,5,7,8],[4,6]] => [[1,2,3,4,6,8],[5,7]] => {{1,2,3,4,6,8},{5,7}} => 8
[[1,2,3,4,7,8],[5,6]] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 6
[[1,3,4,5,6,8],[2,7]] => [[1,2,4,5,6,7],[3,8]] => {{1,2,4,5,6,7},{3,8}} => 7
[[1,2,4,5,6,8],[3,7]] => [[1,2,3,5,6,7],[4,8]] => {{1,2,3,5,6,7},{4,8}} => 7
[[1,2,3,5,6,8],[4,7]] => [[1,2,3,4,6,7],[5,8]] => {{1,2,3,4,6,7},{5,8}} => 7
[[1,2,3,4,6,8],[5,7]] => [[1,2,3,4,5,7],[6,8]] => {{1,2,3,4,5,7},{6,8}} => 7
[[1,2,3,4,5,8],[6,7]] => [[1,2,3,4,5,6,7],[8]] => {{1,2,3,4,5,6,7},{8}} => 7
[[1,3,4,5,6,7],[2,8]] => [[1,2,4,5,6,7,8],[3]] => {{1,2,4,5,6,7,8},{3}} => 8
[[1,2,4,5,6,7],[3,8]] => [[1,2,3,5,6,7,8],[4]] => {{1,2,3,5,6,7,8},{4}} => 8
[[1,2,3,5,6,7],[4,8]] => [[1,2,3,4,6,7,8],[5]] => {{1,2,3,4,6,7,8},{5}} => 8
[[1,2,3,4,6,7],[5,8]] => [[1,2,3,4,5,7,8],[6]] => {{1,2,3,4,5,7,8},{6}} => 8
[[1,2,3,4,5,7],[6,8]] => [[1,2,3,4,5,6,8],[7]] => {{1,2,3,4,5,6,8},{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}} => 8
[[1,2,4,5,6,8],[3],[7]] => [[1,2,3,5,6,7],[4],[8]] => {{1,2,3,5,6,7},{4},{8}} => 7
[[1,2,3,5,6,8],[4],[7]] => [[1,2,3,4,6,7],[5],[8]] => {{1,2,3,4,6,7},{5},{8}} => 7
[[1,2,3,4,6,8],[5],[7]] => [[1,2,3,4,5,7],[6],[8]] => {{1,2,3,4,5,7},{6},{8}} => 7
[[1,3,4,5,6,7],[2],[8]] => [[1,2,4,5,6,7,8],[3]] => {{1,2,4,5,6,7,8},{3}} => 8
[[1,2,4,5,6,7],[3],[8]] => [[1,2,3,5,6,7,8],[4]] => {{1,2,3,5,6,7,8},{4}} => 8
[[1,2,3,5,6,7],[4],[8]] => [[1,2,3,4,6,7,8],[5]] => {{1,2,3,4,6,7,8},{5}} => 8
[[1,2,3,4,6,7],[5],[8]] => [[1,2,3,4,5,7,8],[6]] => {{1,2,3,4,5,7,8},{6}} => 8
[[1,2,3,4,5,7],[6],[8]] => [[1,2,3,4,5,6,8],[7]] => {{1,2,3,4,5,6,8},{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}} => 7
[[1,2,3,7,8],[4,5,6]] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 6
[[1,2,3,6,8],[4,5,7]] => [[1,2,3,4,5,7],[6,8]] => {{1,2,3,4,5,7},{6,8}} => 7
[[1,3,4,5,8],[2,6,7]] => [[1,2,4,5,6,7],[3,8]] => {{1,2,4,5,6,7},{3,8}} => 7
[[1,2,4,5,8],[3,6,7]] => [[1,2,3,5,6,7],[4,8]] => {{1,2,3,5,6,7},{4,8}} => 7
[[1,2,3,5,8],[4,6,7]] => [[1,2,3,4,6,7],[5,8]] => {{1,2,3,4,6,7},{5,8}} => 7
[[1,2,3,4,8],[5,6,7]] => [[1,2,3,4,5,6,7],[8]] => {{1,2,3,4,5,6,7},{8}} => 7
[[1,3,5,6,7],[2,4,8]] => [[1,2,4,6,7,8],[3,5]] => {{1,2,4,6,7,8},{3,5}} => 8
[[1,2,5,6,7],[3,4,8]] => [[1,2,3,4,7,8],[5,6]] => {{1,2,3,4,7,8},{5,6}} => 8
[[1,3,4,6,7],[2,5,8]] => [[1,2,4,5,7,8],[3,6]] => {{1,2,4,5,7,8},{3,6}} => 8
[[1,2,4,6,7],[3,5,8]] => [[1,2,3,5,7,8],[4,6]] => {{1,2,3,5,7,8},{4,6}} => 8
[[1,2,3,6,7],[4,5,8]] => [[1,2,3,4,5,8],[6,7]] => {{1,2,3,4,5,8},{6,7}} => 8
[[1,3,4,5,7],[2,6,8]] => [[1,2,4,5,6,8],[3,7]] => {{1,2,4,5,6,8},{3,7}} => 8
[[1,2,4,5,7],[3,6,8]] => [[1,2,3,5,6,8],[4,7]] => {{1,2,3,5,6,8},{4,7}} => 8
[[1,2,3,5,7],[4,6,8]] => [[1,2,3,4,6,8],[5,7]] => {{1,2,3,4,6,8},{5,7}} => 8
[[1,2,3,4,7],[5,6,8]] => [[1,2,3,4,5,6,8],[7]] => {{1,2,3,4,5,6,8},{7}} => 8
[[1,3,4,5,6],[2,7,8]] => [[1,2,4,5,6,7,8],[3]] => {{1,2,4,5,6,7,8},{3}} => 8
[[1,2,4,5,6],[3,7,8]] => [[1,2,3,5,6,7,8],[4]] => {{1,2,3,5,6,7,8},{4}} => 8
[[1,2,3,5,6],[4,7,8]] => [[1,2,3,4,6,7,8],[5]] => {{1,2,3,4,6,7,8},{5}} => 8
[[1,2,3,4,6],[5,7,8]] => [[1,2,3,4,5,7,8],[6]] => {{1,2,3,4,5,7,8},{6}} => 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}} => 8
[[1,2,4,5,8],[3,7],[6]] => [[1,2,3,5,6,7],[4],[8]] => {{1,2,3,5,6,7},{4},{8}} => 7
[[1,2,3,5,8],[4,7],[6]] => [[1,2,3,4,6,7],[5],[8]] => {{1,2,3,4,6,7},{5},{8}} => 7
[[1,2,3,4,8],[5,7],[6]] => [[1,2,3,4,5,7],[6],[8]] => {{1,2,3,4,5,7},{6},{8}} => 7
[[1,2,5,6,8],[3,4],[7]] => [[1,2,3,4,7],[5,6],[8]] => {{1,2,3,4,7},{5,6},{8}} => 7
[[1,3,4,5,6],[2,8],[7]] => [[1,2,4,5,6,7,8],[3]] => {{1,2,4,5,6,7,8},{3}} => 8
[[1,2,4,5,6],[3,8],[7]] => [[1,2,3,5,6,7,8],[4]] => {{1,2,3,5,6,7,8},{4}} => 8
[[1,2,3,5,6],[4,8],[7]] => [[1,2,3,4,6,7,8],[5]] => {{1,2,3,4,6,7,8},{5}} => 8
[[1,2,3,4,6],[5,8],[7]] => [[1,2,3,4,5,7,8],[6]] => {{1,2,3,4,5,7,8},{6}} => 8
[[1,2,3,4,5],[6,8],[7]] => [[1,2,3,4,5,6,8],[7]] => {{1,2,3,4,5,6,8},{7}} => 8
[[1,3,5,6,7],[2,4],[8]] => [[1,2,4,6,7,8],[3,5]] => {{1,2,4,6,7,8},{3,5}} => 8
[[1,2,5,6,7],[3,4],[8]] => [[1,2,3,4,7,8],[5,6]] => {{1,2,3,4,7,8},{5,6}} => 8
[[1,3,4,6,7],[2,5],[8]] => [[1,2,4,5,7,8],[3,6]] => {{1,2,4,5,7,8},{3,6}} => 8
[[1,2,4,6,7],[3,5],[8]] => [[1,2,3,5,7,8],[4,6]] => {{1,2,3,5,7,8},{4,6}} => 8
[[1,2,3,6,7],[4,5],[8]] => [[1,2,3,4,5,8],[6,7]] => {{1,2,3,4,5,8},{6,7}} => 8
[[1,3,4,5,7],[2,6],[8]] => [[1,2,4,5,6,8],[3,7]] => {{1,2,4,5,6,8},{3,7}} => 8
[[1,2,4,5,7],[3,6],[8]] => [[1,2,3,5,6,8],[4,7]] => {{1,2,3,5,6,8},{4,7}} => 8
[[1,2,3,5,7],[4,6],[8]] => [[1,2,3,4,6,8],[5,7]] => {{1,2,3,4,6,8},{5,7}} => 8
[[1,2,3,4,7],[5,6],[8]] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 6
[[1,3,4,5,6],[2,7],[8]] => [[1,2,4,5,6,7],[3,8]] => {{1,2,4,5,6,7},{3,8}} => 7
[[1,2,4,5,6],[3,7],[8]] => [[1,2,3,5,6,7],[4,8]] => {{1,2,3,5,6,7},{4,8}} => 7
[[1,2,3,5,6],[4,7],[8]] => [[1,2,3,4,6,7],[5,8]] => {{1,2,3,4,6,7},{5,8}} => 7
[[1,2,3,4,6],[5,7],[8]] => [[1,2,3,4,5,7],[6,8]] => {{1,2,3,4,5,7},{6,8}} => 7
[[1,2,3,4,5],[6,7],[8]] => [[1,2,3,4,5,6,7],[8]] => {{1,2,3,4,5,6,7},{8}} => 7
[[1,2,3,6,8],[4],[5],[7]] => [[1,2,3,4,7],[5],[6],[8]] => {{1,2,3,4,7},{5},{6},{8}} => 7
[[1,2,4,5,6],[3],[7],[8]] => [[1,2,3,5,6,7],[4],[8]] => {{1,2,3,5,6,7},{4},{8}} => 7
[[1,2,3,5,6],[4],[7],[8]] => [[1,2,3,4,6,7],[5],[8]] => {{1,2,3,4,6,7},{5},{8}} => 7
[[1,2,3,4,6],[5],[7],[8]] => [[1,2,3,4,5,7],[6],[8]] => {{1,2,3,4,5,7},{6},{8}} => 7
[[1,2,5,7],[3,4,6,8]] => [[1,2,3,4,6,8],[5,7]] => {{1,2,3,4,6,8},{5,7}} => 8
[[1,3,4,7],[2,5,6,8]] => [[1,2,4,5,6,8],[3,7]] => {{1,2,4,5,6,8},{3,7}} => 8
[[1,2,4,7],[3,5,6,8]] => [[1,2,3,5,6,8],[4,7]] => {{1,2,3,5,6,8},{4,7}} => 8
[[1,2,3,7],[4,5,6,8]] => [[1,2,3,4,5,6,8],[7]] => {{1,2,3,4,5,6,8},{7}} => 8
[[1,3,5,6],[2,4,7,8]] => [[1,2,4,6,7,8],[3,5]] => {{1,2,4,6,7,8},{3,5}} => 8
[[1,2,5,6],[3,4,7,8]] => [[1,2,3,4,7,8],[5,6]] => {{1,2,3,4,7,8},{5,6}} => 8
[[1,3,4,6],[2,5,7,8]] => [[1,2,4,5,7,8],[3,6]] => {{1,2,4,5,7,8},{3,6}} => 8
[[1,2,4,6],[3,5,7,8]] => [[1,2,3,5,7,8],[4,6]] => {{1,2,3,5,7,8},{4,6}} => 8
[[1,2,3,6],[4,5,7,8]] => [[1,2,3,4,5,7,8],[6]] => {{1,2,3,4,5,7,8},{6}} => 8
[[1,3,4,5],[2,6,7,8]] => [[1,2,4,5,6,7,8],[3]] => {{1,2,4,5,6,7,8},{3}} => 8
[[1,2,4,5],[3,6,7,8]] => [[1,2,3,5,6,7,8],[4]] => {{1,2,3,5,6,7,8},{4}} => 8
[[1,2,3,5],[4,6,7,8]] => [[1,2,3,4,6,7,8],[5]] => {{1,2,3,4,6,7,8},{5}} => 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}} => 8
[[1,2,4,8],[3,6,7],[5]] => [[1,2,3,5,6,7],[4],[8]] => {{1,2,3,5,6,7},{4},{8}} => 7
[[1,2,3,8],[4,6,7],[5]] => [[1,2,3,4,6,7],[5],[8]] => {{1,2,3,4,6,7},{5},{8}} => 7
[[1,2,5,8],[3,4,7],[6]] => [[1,2,3,4,7],[5,6],[8]] => {{1,2,3,4,7},{5,6},{8}} => 7
[[1,2,3,8],[4,5,7],[6]] => [[1,2,3,4,5,7],[6],[8]] => {{1,2,3,4,5,7},{6},{8}} => 7
[[1,3,4,5],[2,7,8],[6]] => [[1,2,4,5,6,7,8],[3]] => {{1,2,4,5,6,7,8},{3}} => 8
[[1,2,4,5],[3,7,8],[6]] => [[1,2,3,5,6,7,8],[4]] => {{1,2,3,5,6,7,8},{4}} => 8
[[1,2,3,5],[4,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => {{1,2,3,4,6,7,8},{5}} => 8
[[1,2,3,4],[5,7,8],[6]] => [[1,2,3,4,5,7,8],[6]] => {{1,2,3,4,5,7,8},{6}} => 8
[[1,3,5,6],[2,4,8],[7]] => [[1,2,4,6,7,8],[3,5]] => {{1,2,4,6,7,8},{3,5}} => 8
[[1,2,5,6],[3,4,8],[7]] => [[1,2,3,4,7,8],[5,6]] => {{1,2,3,4,7,8},{5,6}} => 8
[[1,3,4,6],[2,5,8],[7]] => [[1,2,4,5,7,8],[3,6]] => {{1,2,4,5,7,8},{3,6}} => 8
[[1,2,4,6],[3,5,8],[7]] => [[1,2,3,5,7,8],[4,6]] => {{1,2,3,5,7,8},{4,6}} => 8
[[1,2,3,6],[4,5,8],[7]] => [[1,2,3,4,5,8],[6,7]] => {{1,2,3,4,5,8},{6,7}} => 8
[[1,3,4,5],[2,6,8],[7]] => [[1,2,4,5,6,8],[3,7]] => {{1,2,4,5,6,8},{3,7}} => 8
[[1,2,4,5],[3,6,8],[7]] => [[1,2,3,5,6,8],[4,7]] => {{1,2,3,5,6,8},{4,7}} => 8
[[1,2,3,5],[4,6,8],[7]] => [[1,2,3,4,6,8],[5,7]] => {{1,2,3,4,6,8},{5,7}} => 8
[[1,2,3,4],[5,6,8],[7]] => [[1,2,3,4,5,6,8],[7]] => {{1,2,3,4,5,6,8},{7}} => 8
[[1,2,3,7],[4,5,6],[8]] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 6
[[1,2,3,6],[4,5,7],[8]] => [[1,2,3,4,5,7],[6,8]] => {{1,2,3,4,5,7},{6,8}} => 7
[[1,3,4,5],[2,6,7],[8]] => [[1,2,4,5,6,7],[3,8]] => {{1,2,4,5,6,7},{3,8}} => 7
[[1,2,4,5],[3,6,7],[8]] => [[1,2,3,5,6,7],[4,8]] => {{1,2,3,5,6,7},{4,8}} => 7
[[1,2,3,5],[4,6,7],[8]] => [[1,2,3,4,6,7],[5,8]] => {{1,2,3,4,6,7},{5,8}} => 7
[[1,2,3,4],[5,6,7],[8]] => [[1,2,3,4,5,6,7],[8]] => {{1,2,3,4,5,6,7},{8}} => 7
[[1,2,5,8],[3,4],[6,7]] => [[1,2,3,4,7],[5,6],[8]] => {{1,2,3,4,7},{5,6},{8}} => 7
[[1,3,4,5],[2,7],[6,8]] => [[1,2,4,5,6,7],[3,8]] => {{1,2,4,5,6,7},{3,8}} => 7
[[1,2,4,5],[3,7],[6,8]] => [[1,2,3,5,6,7],[4,8]] => {{1,2,3,5,6,7},{4,8}} => 7
[[1,2,3,5],[4,7],[6,8]] => [[1,2,3,4,6,7],[5,8]] => {{1,2,3,4,6,7},{5,8}} => 7
[[1,2,3,4],[5,7],[6,8]] => [[1,2,3,4,5,7],[6,8]] => {{1,2,3,4,5,7},{6,8}} => 7
[[1,3,5,6],[2,4],[7,8]] => [[1,2,4,6,7,8],[3,5]] => {{1,2,4,6,7,8},{3,5}} => 8
[[1,2,5,6],[3,4],[7,8]] => [[1,2,3,4,7,8],[5,6]] => {{1,2,3,4,7,8},{5,6}} => 8
[[1,3,4,6],[2,5],[7,8]] => [[1,2,4,5,7,8],[3,6]] => {{1,2,4,5,7,8},{3,6}} => 8
[[1,2,4,6],[3,5],[7,8]] => [[1,2,3,5,7,8],[4,6]] => {{1,2,3,5,7,8},{4,6}} => 8
[[1,2,3,6],[4,5],[7,8]] => [[1,2,3,4,5,8],[6,7]] => {{1,2,3,4,5,8},{6,7}} => 8
[[1,3,4,5],[2,6],[7,8]] => [[1,2,4,5,6,8],[3,7]] => {{1,2,4,5,6,8},{3,7}} => 8
[[1,2,4,5],[3,6],[7,8]] => [[1,2,3,5,6,8],[4,7]] => {{1,2,3,5,6,8},{4,7}} => 8
[[1,2,3,5],[4,6],[7,8]] => [[1,2,3,4,6,8],[5,7]] => {{1,2,3,4,6,8},{5,7}} => 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}} => 6
[[1,2,3,8],[4,7],[5],[6]] => [[1,2,3,4,7],[5],[6],[8]] => {{1,2,3,4,7},{5},{6},{8}} => 7
[[1,2,4,5],[3,7],[6],[8]] => [[1,2,3,5,6,7],[4],[8]] => {{1,2,3,5,6,7},{4},{8}} => 7
[[1,2,3,5],[4,7],[6],[8]] => [[1,2,3,4,6,7],[5],[8]] => {{1,2,3,4,6,7},{5},{8}} => 7
[[1,2,3,4],[5,7],[6],[8]] => [[1,2,3,4,5,7],[6],[8]] => {{1,2,3,4,5,7},{6},{8}} => 7
[[1,2,5,6],[3,4],[7],[8]] => [[1,2,3,4,7],[5,6],[8]] => {{1,2,3,4,7},{5,6},{8}} => 7
[[1,2,3,6],[4],[5],[7],[8]] => [[1,2,3,4,7],[5],[6],[8]] => {{1,2,3,4,7},{5},{6},{8}} => 7
[[1,3,4],[2,6,8],[5,7]] => [[1,2,4,5,6,8],[3,7]] => {{1,2,4,5,6,8},{3,7}} => 8
[[1,2,4],[3,6,8],[5,7]] => [[1,2,3,5,6,8],[4,7]] => {{1,2,3,5,6,8},{4,7}} => 8
[[1,2,3],[4,6,8],[5,7]] => [[1,2,3,4,6,8],[5,7]] => {{1,2,3,4,6,8},{5,7}} => 8
[[1,3,5],[2,4,8],[6,7]] => [[1,2,4,6,7,8],[3,5]] => {{1,2,4,6,7,8},{3,5}} => 8
[[1,2,5],[3,4,8],[6,7]] => [[1,2,3,4,7,8],[5,6]] => {{1,2,3,4,7,8},{5,6}} => 8
[[1,3,4],[2,5,8],[6,7]] => [[1,2,4,5,7,8],[3,6]] => {{1,2,4,5,7,8},{3,6}} => 8
[[1,2,4],[3,5,8],[6,7]] => [[1,2,3,5,7,8],[4,6]] => {{1,2,3,5,7,8},{4,6}} => 8
[[1,2,3],[4,5,8],[6,7]] => [[1,2,3,4,5,8],[6,7]] => {{1,2,3,4,5,8},{6,7}} => 8
[[1,3,4],[2,6,7],[5,8]] => [[1,2,4,5,6,7],[3,8]] => {{1,2,4,5,6,7},{3,8}} => 7
[[1,2,4],[3,6,7],[5,8]] => [[1,2,3,5,6,7],[4,8]] => {{1,2,3,5,6,7},{4,8}} => 7
[[1,2,3],[4,6,7],[5,8]] => [[1,2,3,4,6,7],[5,8]] => {{1,2,3,4,6,7},{5,8}} => 7
[[1,2,3],[4,5,7],[6,8]] => [[1,2,3,4,5,7],[6,8]] => {{1,2,3,4,5,7},{6,8}} => 7
[[1,2,3],[4,5,6],[7,8]] => [[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => 6
[[1,2,4],[3,6,7],[5],[8]] => [[1,2,3,5,6,7],[4],[8]] => {{1,2,3,5,6,7},{4},{8}} => 7
[[1,2,3],[4,6,7],[5],[8]] => [[1,2,3,4,6,7],[5],[8]] => {{1,2,3,4,6,7},{5},{8}} => 7
[[1,2,5],[3,4,7],[6],[8]] => [[1,2,3,4,7],[5,6],[8]] => {{1,2,3,4,7},{5,6},{8}} => 7
[[1,2,3],[4,5,7],[6],[8]] => [[1,2,3,4,5,7],[6],[8]] => {{1,2,3,4,5,7},{6},{8}} => 7
[[1,2,5],[3,4],[6,7],[8]] => [[1,2,3,4,7],[5,6],[8]] => {{1,2,3,4,7},{5,6},{8}} => 7
[[1,2,3],[4,7],[5],[6],[8]] => [[1,2,3,4,7],[5],[6],[8]] => {{1,2,3,4,7},{5},{6},{8}} => 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}} => 8
[[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}} => 8
[[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}} => 8
[[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}} => 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}} => 9
[[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}} => 9
[[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}} => 9
[[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}} => 9
[[1,2,3,4,9],[5,6,7,8]] => [[1,2,3,4,5,6,7,8],[9]] => {{1,2,3,4,5,6,7,8},{9}} => 8
[[1,2,3,4,5,6,7,9],[8]] => [[1,2,3,4,5,6,7,8],[9]] => {{1,2,3,4,5,6,7,8},{9}} => 8
[[1,2,3,4,5,6,9],[7,8]] => [[1,2,3,4,5,6,7,8],[9]] => {{1,2,3,4,5,6,7,8},{9}} => 8
[[1,2,3,4,5,9],[6,7,8]] => [[1,2,3,4,5,6,7,8],[9]] => {{1,2,3,4,5,6,7,8},{9}} => 8
[[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,3,4,5,6,7,8,9],[10]] => {{1,2,3,4,5,6,7,8,9},{10}} => 9
[[1,2,3,4,5,6,7,10],[8,9]] => [[1,2,3,4,5,6,7,8,9],[10]] => {{1,2,3,4,5,6,7,8,9},{10}} => 9
[[1,2,3,4,5,6,10],[7,8,9]] => [[1,2,3,4,5,6,7,8,9],[10]] => {{1,2,3,4,5,6,7,8,9},{10}} => 9
[[1,2,3,4,5,10],[6,7,8,9]] => [[1,2,3,4,5,6,7,8,9],[10]] => {{1,2,3,4,5,6,7,8,9},{10}} => 9
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Description
The biggest entry in the block containing the 1.
Map
catabolism
Description
Remove the first row of the standard tableau and insert it back using column Schensted insertion, starting with the largest number.
The algorithm for column-inserting an entry $k$ into tableau $T$ is as follows:
If $k$ is larger than all entries in the first column, place $k$ at the bottom of the first column and the procedure is finished. Otherwise, place $k$ in the first column, replacing the smallest entry, $y$, greater than $k$. Now insert $y$ into the second column using the same procedure: if $y$ is greater than all entries in the second column, place it at the bottom of that column (provided that the result is still a tableau). Otherwise, place $y$ in the second column, replacing, or 'bumping', the smallest entry, $z$, larger than $y$. Continue the procedure until we have placed a bumped entry at the bottom of a column (or on its own in a new column).
Map
rows
Description
The set partition whose blocks are the rows of the tableau.