Images
[[1]] => {{1}} => [1]
[[1,2]] => {{1,2}} => [2]
[[1],[2]] => {{1},{2}} => [1,1]
[[1,2,3]] => {{1,2,3}} => [3]
[[1,3],[2]] => {{1,3},{2}} => [2,1]
[[1,2],[3]] => {{1,2},{3}} => [2,1]
[[1],[2],[3]] => {{1},{2},{3}} => [1,1,1]
[[1,2,3,4]] => {{1,2,3,4}} => [4]
[[1,3,4],[2]] => {{1,3,4},{2}} => [3,1]
[[1,2,4],[3]] => {{1,2,4},{3}} => [3,1]
[[1,2,3],[4]] => {{1,2,3},{4}} => [3,1]
[[1,3],[2,4]] => {{1,3},{2,4}} => [2,2]
[[1,2],[3,4]] => {{1,2},{3,4}} => [2,2]
[[1,4],[2],[3]] => {{1,4},{2},{3}} => [2,1,1]
[[1,3],[2],[4]] => {{1,3},{2},{4}} => [2,1,1]
[[1,2],[3],[4]] => {{1,2},{3},{4}} => [2,1,1]
[[1],[2],[3],[4]] => {{1},{2},{3},{4}} => [1,1,1,1]
[[1,2,3,4,5]] => {{1,2,3,4,5}} => [5]
[[1,3,4,5],[2]] => {{1,3,4,5},{2}} => [4,1]
[[1,2,4,5],[3]] => {{1,2,4,5},{3}} => [4,1]
[[1,2,3,5],[4]] => {{1,2,3,5},{4}} => [4,1]
[[1,2,3,4],[5]] => {{1,2,3,4},{5}} => [4,1]
[[1,3,5],[2,4]] => {{1,3,5},{2,4}} => [3,2]
[[1,2,5],[3,4]] => {{1,2,5},{3,4}} => [3,2]
[[1,3,4],[2,5]] => {{1,3,4},{2,5}} => [3,2]
[[1,2,4],[3,5]] => {{1,2,4},{3,5}} => [3,2]
[[1,2,3],[4,5]] => {{1,2,3},{4,5}} => [3,2]
[[1,4,5],[2],[3]] => {{1,4,5},{2},{3}} => [3,1,1]
[[1,3,5],[2],[4]] => {{1,3,5},{2},{4}} => [3,1,1]
[[1,2,5],[3],[4]] => {{1,2,5},{3},{4}} => [3,1,1]
[[1,3,4],[2],[5]] => {{1,3,4},{2},{5}} => [3,1,1]
[[1,2,4],[3],[5]] => {{1,2,4},{3},{5}} => [3,1,1]
[[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => [3,1,1]
[[1,4],[2,5],[3]] => {{1,4},{2,5},{3}} => [2,2,1]
[[1,3],[2,5],[4]] => {{1,3},{2,5},{4}} => [2,2,1]
[[1,2],[3,5],[4]] => {{1,2},{3,5},{4}} => [2,2,1]
[[1,3],[2,4],[5]] => {{1,3},{2,4},{5}} => [2,2,1]
[[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => [2,2,1]
[[1,5],[2],[3],[4]] => {{1,5},{2},{3},{4}} => [2,1,1,1]
[[1,4],[2],[3],[5]] => {{1,4},{2},{3},{5}} => [2,1,1,1]
[[1,3],[2],[4],[5]] => {{1,3},{2},{4},{5}} => [2,1,1,1]
[[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => [2,1,1,1]
[[1],[2],[3],[4],[5]] => {{1},{2},{3},{4},{5}} => [1,1,1,1,1]
[[1,2,3,4,5,6]] => {{1,2,3,4,5,6}} => [6]
[[1,3,4,5,6],[2]] => {{1,3,4,5,6},{2}} => [5,1]
[[1,2,4,5,6],[3]] => {{1,2,4,5,6},{3}} => [5,1]
[[1,2,3,5,6],[4]] => {{1,2,3,5,6},{4}} => [5,1]
[[1,2,3,4,6],[5]] => {{1,2,3,4,6},{5}} => [5,1]
[[1,2,3,4,5],[6]] => {{1,2,3,4,5},{6}} => [5,1]
[[1,3,5,6],[2,4]] => {{1,3,5,6},{2,4}} => [4,2]
[[1,2,5,6],[3,4]] => {{1,2,5,6},{3,4}} => [4,2]
[[1,3,4,6],[2,5]] => {{1,3,4,6},{2,5}} => [4,2]
[[1,2,4,6],[3,5]] => {{1,2,4,6},{3,5}} => [4,2]
[[1,2,3,6],[4,5]] => {{1,2,3,6},{4,5}} => [4,2]
[[1,3,4,5],[2,6]] => {{1,3,4,5},{2,6}} => [4,2]
[[1,2,4,5],[3,6]] => {{1,2,4,5},{3,6}} => [4,2]
[[1,2,3,5],[4,6]] => {{1,2,3,5},{4,6}} => [4,2]
[[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => [4,2]
[[1,4,5,6],[2],[3]] => {{1,4,5,6},{2},{3}} => [4,1,1]
[[1,3,5,6],[2],[4]] => {{1,3,5,6},{2},{4}} => [4,1,1]
[[1,2,5,6],[3],[4]] => {{1,2,5,6},{3},{4}} => [4,1,1]
[[1,3,4,6],[2],[5]] => {{1,3,4,6},{2},{5}} => [4,1,1]
[[1,2,4,6],[3],[5]] => {{1,2,4,6},{3},{5}} => [4,1,1]
[[1,2,3,6],[4],[5]] => {{1,2,3,6},{4},{5}} => [4,1,1]
[[1,3,4,5],[2],[6]] => {{1,3,4,5},{2},{6}} => [4,1,1]
[[1,2,4,5],[3],[6]] => {{1,2,4,5},{3},{6}} => [4,1,1]
[[1,2,3,5],[4],[6]] => {{1,2,3,5},{4},{6}} => [4,1,1]
[[1,2,3,4],[5],[6]] => {{1,2,3,4},{5},{6}} => [4,1,1]
[[1,3,5],[2,4,6]] => {{1,3,5},{2,4,6}} => [3,3]
[[1,2,5],[3,4,6]] => {{1,2,5},{3,4,6}} => [3,3]
[[1,3,4],[2,5,6]] => {{1,3,4},{2,5,6}} => [3,3]
[[1,2,4],[3,5,6]] => {{1,2,4},{3,5,6}} => [3,3]
[[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => [3,3]
[[1,4,6],[2,5],[3]] => {{1,4,6},{2,5},{3}} => [3,2,1]
[[1,3,6],[2,5],[4]] => {{1,3,6},{2,5},{4}} => [3,2,1]
[[1,2,6],[3,5],[4]] => {{1,2,6},{3,5},{4}} => [3,2,1]
[[1,3,6],[2,4],[5]] => {{1,3,6},{2,4},{5}} => [3,2,1]
[[1,2,6],[3,4],[5]] => {{1,2,6},{3,4},{5}} => [3,2,1]
[[1,4,5],[2,6],[3]] => {{1,4,5},{2,6},{3}} => [3,2,1]
[[1,3,5],[2,6],[4]] => {{1,3,5},{2,6},{4}} => [3,2,1]
[[1,2,5],[3,6],[4]] => {{1,2,5},{3,6},{4}} => [3,2,1]
[[1,3,4],[2,6],[5]] => {{1,3,4},{2,6},{5}} => [3,2,1]
[[1,2,4],[3,6],[5]] => {{1,2,4},{3,6},{5}} => [3,2,1]
[[1,2,3],[4,6],[5]] => {{1,2,3},{4,6},{5}} => [3,2,1]
[[1,3,5],[2,4],[6]] => {{1,3,5},{2,4},{6}} => [3,2,1]
[[1,2,5],[3,4],[6]] => {{1,2,5},{3,4},{6}} => [3,2,1]
[[1,3,4],[2,5],[6]] => {{1,3,4},{2,5},{6}} => [3,2,1]
[[1,2,4],[3,5],[6]] => {{1,2,4},{3,5},{6}} => [3,2,1]
[[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => [3,2,1]
[[1,5,6],[2],[3],[4]] => {{1,5,6},{2},{3},{4}} => [3,1,1,1]
[[1,4,6],[2],[3],[5]] => {{1,4,6},{2},{3},{5}} => [3,1,1,1]
[[1,3,6],[2],[4],[5]] => {{1,3,6},{2},{4},{5}} => [3,1,1,1]
[[1,2,6],[3],[4],[5]] => {{1,2,6},{3},{4},{5}} => [3,1,1,1]
[[1,4,5],[2],[3],[6]] => {{1,4,5},{2},{3},{6}} => [3,1,1,1]
[[1,3,5],[2],[4],[6]] => {{1,3,5},{2},{4},{6}} => [3,1,1,1]
[[1,2,5],[3],[4],[6]] => {{1,2,5},{3},{4},{6}} => [3,1,1,1]
[[1,3,4],[2],[5],[6]] => {{1,3,4},{2},{5},{6}} => [3,1,1,1]
[[1,2,4],[3],[5],[6]] => {{1,2,4},{3},{5},{6}} => [3,1,1,1]
[[1,2,3],[4],[5],[6]] => {{1,2,3},{4},{5},{6}} => [3,1,1,1]
[[1,4],[2,5],[3,6]] => {{1,4},{2,5},{3,6}} => [2,2,2]
[[1,3],[2,5],[4,6]] => {{1,3},{2,5},{4,6}} => [2,2,2]
>>> Load all 820 entries. <<<
[[1,2],[3,5],[4,6]] => {{1,2},{3,5},{4,6}} => [2,2,2]
[[1,3],[2,4],[5,6]] => {{1,3},{2,4},{5,6}} => [2,2,2]
[[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => [2,2,2]
[[1,5],[2,6],[3],[4]] => {{1,5},{2,6},{3},{4}} => [2,2,1,1]
[[1,4],[2,6],[3],[5]] => {{1,4},{2,6},{3},{5}} => [2,2,1,1]
[[1,3],[2,6],[4],[5]] => {{1,3},{2,6},{4},{5}} => [2,2,1,1]
[[1,2],[3,6],[4],[5]] => {{1,2},{3,6},{4},{5}} => [2,2,1,1]
[[1,4],[2,5],[3],[6]] => {{1,4},{2,5},{3},{6}} => [2,2,1,1]
[[1,3],[2,5],[4],[6]] => {{1,3},{2,5},{4},{6}} => [2,2,1,1]
[[1,2],[3,5],[4],[6]] => {{1,2},{3,5},{4},{6}} => [2,2,1,1]
[[1,3],[2,4],[5],[6]] => {{1,3},{2,4},{5},{6}} => [2,2,1,1]
[[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => [2,2,1,1]
[[1,6],[2],[3],[4],[5]] => {{1,6},{2},{3},{4},{5}} => [2,1,1,1,1]
[[1,5],[2],[3],[4],[6]] => {{1,5},{2},{3},{4},{6}} => [2,1,1,1,1]
[[1,4],[2],[3],[5],[6]] => {{1,4},{2},{3},{5},{6}} => [2,1,1,1,1]
[[1,3],[2],[4],[5],[6]] => {{1,3},{2},{4},{5},{6}} => [2,1,1,1,1]
[[1,2],[3],[4],[5],[6]] => {{1,2},{3},{4},{5},{6}} => [2,1,1,1,1]
[[1],[2],[3],[4],[5],[6]] => {{1},{2},{3},{4},{5},{6}} => [1,1,1,1,1,1]
[[1,2,3,4,5,6,7]] => {{1,2,3,4,5,6,7}} => [7]
[[1,3,4,5,6,7],[2]] => {{1,3,4,5,6,7},{2}} => [6,1]
[[1,2,4,5,6,7],[3]] => {{1,2,4,5,6,7},{3}} => [6,1]
[[1,2,3,5,6,7],[4]] => {{1,2,3,5,6,7},{4}} => [6,1]
[[1,2,3,4,6,7],[5]] => {{1,2,3,4,6,7},{5}} => [6,1]
[[1,2,3,4,5,7],[6]] => {{1,2,3,4,5,7},{6}} => [6,1]
[[1,2,3,4,5,6],[7]] => {{1,2,3,4,5,6},{7}} => [6,1]
[[1,3,5,6,7],[2,4]] => {{1,3,5,6,7},{2,4}} => [5,2]
[[1,2,5,6,7],[3,4]] => {{1,2,5,6,7},{3,4}} => [5,2]
[[1,3,4,6,7],[2,5]] => {{1,3,4,6,7},{2,5}} => [5,2]
[[1,2,4,6,7],[3,5]] => {{1,2,4,6,7},{3,5}} => [5,2]
[[1,2,3,6,7],[4,5]] => {{1,2,3,6,7},{4,5}} => [5,2]
[[1,3,4,5,7],[2,6]] => {{1,3,4,5,7},{2,6}} => [5,2]
[[1,2,4,5,7],[3,6]] => {{1,2,4,5,7},{3,6}} => [5,2]
[[1,2,3,5,7],[4,6]] => {{1,2,3,5,7},{4,6}} => [5,2]
[[1,2,3,4,7],[5,6]] => {{1,2,3,4,7},{5,6}} => [5,2]
[[1,3,4,5,6],[2,7]] => {{1,3,4,5,6},{2,7}} => [5,2]
[[1,2,4,5,6],[3,7]] => {{1,2,4,5,6},{3,7}} => [5,2]
[[1,2,3,5,6],[4,7]] => {{1,2,3,5,6},{4,7}} => [5,2]
[[1,2,3,4,6],[5,7]] => {{1,2,3,4,6},{5,7}} => [5,2]
[[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => [5,2]
[[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}} => [5,1,1]
[[1,3,5,6,7],[2],[4]] => {{1,3,5,6,7},{2},{4}} => [5,1,1]
[[1,2,5,6,7],[3],[4]] => {{1,2,5,6,7},{3},{4}} => [5,1,1]
[[1,3,4,6,7],[2],[5]] => {{1,3,4,6,7},{2},{5}} => [5,1,1]
[[1,2,4,6,7],[3],[5]] => {{1,2,4,6,7},{3},{5}} => [5,1,1]
[[1,2,3,6,7],[4],[5]] => {{1,2,3,6,7},{4},{5}} => [5,1,1]
[[1,3,4,5,7],[2],[6]] => {{1,3,4,5,7},{2},{6}} => [5,1,1]
[[1,2,4,5,7],[3],[6]] => {{1,2,4,5,7},{3},{6}} => [5,1,1]
[[1,2,3,5,7],[4],[6]] => {{1,2,3,5,7},{4},{6}} => [5,1,1]
[[1,2,3,4,7],[5],[6]] => {{1,2,3,4,7},{5},{6}} => [5,1,1]
[[1,3,4,5,6],[2],[7]] => {{1,3,4,5,6},{2},{7}} => [5,1,1]
[[1,2,4,5,6],[3],[7]] => {{1,2,4,5,6},{3},{7}} => [5,1,1]
[[1,2,3,5,6],[4],[7]] => {{1,2,3,5,6},{4},{7}} => [5,1,1]
[[1,2,3,4,6],[5],[7]] => {{1,2,3,4,6},{5},{7}} => [5,1,1]
[[1,2,3,4,5],[6],[7]] => {{1,2,3,4,5},{6},{7}} => [5,1,1]
[[1,3,5,7],[2,4,6]] => {{1,3,5,7},{2,4,6}} => [4,3]
[[1,2,5,7],[3,4,6]] => {{1,2,5,7},{3,4,6}} => [4,3]
[[1,3,4,7],[2,5,6]] => {{1,3,4,7},{2,5,6}} => [4,3]
[[1,2,4,7],[3,5,6]] => {{1,2,4,7},{3,5,6}} => [4,3]
[[1,2,3,7],[4,5,6]] => {{1,2,3,7},{4,5,6}} => [4,3]
[[1,3,5,6],[2,4,7]] => {{1,3,5,6},{2,4,7}} => [4,3]
[[1,2,5,6],[3,4,7]] => {{1,2,5,6},{3,4,7}} => [4,3]
[[1,3,4,6],[2,5,7]] => {{1,3,4,6},{2,5,7}} => [4,3]
[[1,2,4,6],[3,5,7]] => {{1,2,4,6},{3,5,7}} => [4,3]
[[1,2,3,6],[4,5,7]] => {{1,2,3,6},{4,5,7}} => [4,3]
[[1,3,4,5],[2,6,7]] => {{1,3,4,5},{2,6,7}} => [4,3]
[[1,2,4,5],[3,6,7]] => {{1,2,4,5},{3,6,7}} => [4,3]
[[1,2,3,5],[4,6,7]] => {{1,2,3,5},{4,6,7}} => [4,3]
[[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => [4,3]
[[1,4,6,7],[2,5],[3]] => {{1,4,6,7},{2,5},{3}} => [4,2,1]
[[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => [4,2,1]
[[1,2,6,7],[3,5],[4]] => {{1,2,6,7},{3,5},{4}} => [4,2,1]
[[1,3,6,7],[2,4],[5]] => {{1,3,6,7},{2,4},{5}} => [4,2,1]
[[1,2,6,7],[3,4],[5]] => {{1,2,6,7},{3,4},{5}} => [4,2,1]
[[1,4,5,7],[2,6],[3]] => {{1,4,5,7},{2,6},{3}} => [4,2,1]
[[1,3,5,7],[2,6],[4]] => {{1,3,5,7},{2,6},{4}} => [4,2,1]
[[1,2,5,7],[3,6],[4]] => {{1,2,5,7},{3,6},{4}} => [4,2,1]
[[1,3,4,7],[2,6],[5]] => {{1,3,4,7},{2,6},{5}} => [4,2,1]
[[1,2,4,7],[3,6],[5]] => {{1,2,4,7},{3,6},{5}} => [4,2,1]
[[1,2,3,7],[4,6],[5]] => {{1,2,3,7},{4,6},{5}} => [4,2,1]
[[1,3,5,7],[2,4],[6]] => {{1,3,5,7},{2,4},{6}} => [4,2,1]
[[1,2,5,7],[3,4],[6]] => {{1,2,5,7},{3,4},{6}} => [4,2,1]
[[1,3,4,7],[2,5],[6]] => {{1,3,4,7},{2,5},{6}} => [4,2,1]
[[1,2,4,7],[3,5],[6]] => {{1,2,4,7},{3,5},{6}} => [4,2,1]
[[1,2,3,7],[4,5],[6]] => {{1,2,3,7},{4,5},{6}} => [4,2,1]
[[1,4,5,6],[2,7],[3]] => {{1,4,5,6},{2,7},{3}} => [4,2,1]
[[1,3,5,6],[2,7],[4]] => {{1,3,5,6},{2,7},{4}} => [4,2,1]
[[1,2,5,6],[3,7],[4]] => {{1,2,5,6},{3,7},{4}} => [4,2,1]
[[1,3,4,6],[2,7],[5]] => {{1,3,4,6},{2,7},{5}} => [4,2,1]
[[1,2,4,6],[3,7],[5]] => {{1,2,4,6},{3,7},{5}} => [4,2,1]
[[1,2,3,6],[4,7],[5]] => {{1,2,3,6},{4,7},{5}} => [4,2,1]
[[1,3,4,5],[2,7],[6]] => {{1,3,4,5},{2,7},{6}} => [4,2,1]
[[1,2,4,5],[3,7],[6]] => {{1,2,4,5},{3,7},{6}} => [4,2,1]
[[1,2,3,5],[4,7],[6]] => {{1,2,3,5},{4,7},{6}} => [4,2,1]
[[1,2,3,4],[5,7],[6]] => {{1,2,3,4},{5,7},{6}} => [4,2,1]
[[1,3,5,6],[2,4],[7]] => {{1,3,5,6},{2,4},{7}} => [4,2,1]
[[1,2,5,6],[3,4],[7]] => {{1,2,5,6},{3,4},{7}} => [4,2,1]
[[1,3,4,6],[2,5],[7]] => {{1,3,4,6},{2,5},{7}} => [4,2,1]
[[1,2,4,6],[3,5],[7]] => {{1,2,4,6},{3,5},{7}} => [4,2,1]
[[1,2,3,6],[4,5],[7]] => {{1,2,3,6},{4,5},{7}} => [4,2,1]
[[1,3,4,5],[2,6],[7]] => {{1,3,4,5},{2,6},{7}} => [4,2,1]
[[1,2,4,5],[3,6],[7]] => {{1,2,4,5},{3,6},{7}} => [4,2,1]
[[1,2,3,5],[4,6],[7]] => {{1,2,3,5},{4,6},{7}} => [4,2,1]
[[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => [4,2,1]
[[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => [4,1,1,1]
[[1,4,6,7],[2],[3],[5]] => {{1,4,6,7},{2},{3},{5}} => [4,1,1,1]
[[1,3,6,7],[2],[4],[5]] => {{1,3,6,7},{2},{4},{5}} => [4,1,1,1]
[[1,2,6,7],[3],[4],[5]] => {{1,2,6,7},{3},{4},{5}} => [4,1,1,1]
[[1,4,5,7],[2],[3],[6]] => {{1,4,5,7},{2},{3},{6}} => [4,1,1,1]
[[1,3,5,7],[2],[4],[6]] => {{1,3,5,7},{2},{4},{6}} => [4,1,1,1]
[[1,2,5,7],[3],[4],[6]] => {{1,2,5,7},{3},{4},{6}} => [4,1,1,1]
[[1,3,4,7],[2],[5],[6]] => {{1,3,4,7},{2},{5},{6}} => [4,1,1,1]
[[1,2,4,7],[3],[5],[6]] => {{1,2,4,7},{3},{5},{6}} => [4,1,1,1]
[[1,2,3,7],[4],[5],[6]] => {{1,2,3,7},{4},{5},{6}} => [4,1,1,1]
[[1,4,5,6],[2],[3],[7]] => {{1,4,5,6},{2},{3},{7}} => [4,1,1,1]
[[1,3,5,6],[2],[4],[7]] => {{1,3,5,6},{2},{4},{7}} => [4,1,1,1]
[[1,2,5,6],[3],[4],[7]] => {{1,2,5,6},{3},{4},{7}} => [4,1,1,1]
[[1,3,4,6],[2],[5],[7]] => {{1,3,4,6},{2},{5},{7}} => [4,1,1,1]
[[1,2,4,6],[3],[5],[7]] => {{1,2,4,6},{3},{5},{7}} => [4,1,1,1]
[[1,2,3,6],[4],[5],[7]] => {{1,2,3,6},{4},{5},{7}} => [4,1,1,1]
[[1,3,4,5],[2],[6],[7]] => {{1,3,4,5},{2},{6},{7}} => [4,1,1,1]
[[1,2,4,5],[3],[6],[7]] => {{1,2,4,5},{3},{6},{7}} => [4,1,1,1]
[[1,2,3,5],[4],[6],[7]] => {{1,2,3,5},{4},{6},{7}} => [4,1,1,1]
[[1,2,3,4],[5],[6],[7]] => {{1,2,3,4},{5},{6},{7}} => [4,1,1,1]
[[1,4,6],[2,5,7],[3]] => {{1,4,6},{2,5,7},{3}} => [3,3,1]
[[1,3,6],[2,5,7],[4]] => {{1,3,6},{2,5,7},{4}} => [3,3,1]
[[1,2,6],[3,5,7],[4]] => {{1,2,6},{3,5,7},{4}} => [3,3,1]
[[1,3,6],[2,4,7],[5]] => {{1,3,6},{2,4,7},{5}} => [3,3,1]
[[1,2,6],[3,4,7],[5]] => {{1,2,6},{3,4,7},{5}} => [3,3,1]
[[1,4,5],[2,6,7],[3]] => {{1,4,5},{2,6,7},{3}} => [3,3,1]
[[1,3,5],[2,6,7],[4]] => {{1,3,5},{2,6,7},{4}} => [3,3,1]
[[1,2,5],[3,6,7],[4]] => {{1,2,5},{3,6,7},{4}} => [3,3,1]
[[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => [3,3,1]
[[1,2,4],[3,6,7],[5]] => {{1,2,4},{3,6,7},{5}} => [3,3,1]
[[1,2,3],[4,6,7],[5]] => {{1,2,3},{4,6,7},{5}} => [3,3,1]
[[1,3,5],[2,4,7],[6]] => {{1,3,5},{2,4,7},{6}} => [3,3,1]
[[1,2,5],[3,4,7],[6]] => {{1,2,5},{3,4,7},{6}} => [3,3,1]
[[1,3,4],[2,5,7],[6]] => {{1,3,4},{2,5,7},{6}} => [3,3,1]
[[1,2,4],[3,5,7],[6]] => {{1,2,4},{3,5,7},{6}} => [3,3,1]
[[1,2,3],[4,5,7],[6]] => {{1,2,3},{4,5,7},{6}} => [3,3,1]
[[1,3,5],[2,4,6],[7]] => {{1,3,5},{2,4,6},{7}} => [3,3,1]
[[1,2,5],[3,4,6],[7]] => {{1,2,5},{3,4,6},{7}} => [3,3,1]
[[1,3,4],[2,5,6],[7]] => {{1,3,4},{2,5,6},{7}} => [3,3,1]
[[1,2,4],[3,5,6],[7]] => {{1,2,4},{3,5,6},{7}} => [3,3,1]
[[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => [3,3,1]
[[1,4,7],[2,5],[3,6]] => {{1,4,7},{2,5},{3,6}} => [3,2,2]
[[1,3,7],[2,5],[4,6]] => {{1,3,7},{2,5},{4,6}} => [3,2,2]
[[1,2,7],[3,5],[4,6]] => {{1,2,7},{3,5},{4,6}} => [3,2,2]
[[1,3,7],[2,4],[5,6]] => {{1,3,7},{2,4},{5,6}} => [3,2,2]
[[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => [3,2,2]
[[1,4,6],[2,5],[3,7]] => {{1,4,6},{2,5},{3,7}} => [3,2,2]
[[1,3,6],[2,5],[4,7]] => {{1,3,6},{2,5},{4,7}} => [3,2,2]
[[1,2,6],[3,5],[4,7]] => {{1,2,6},{3,5},{4,7}} => [3,2,2]
[[1,3,6],[2,4],[5,7]] => {{1,3,6},{2,4},{5,7}} => [3,2,2]
[[1,2,6],[3,4],[5,7]] => {{1,2,6},{3,4},{5,7}} => [3,2,2]
[[1,4,5],[2,6],[3,7]] => {{1,4,5},{2,6},{3,7}} => [3,2,2]
[[1,3,5],[2,6],[4,7]] => {{1,3,5},{2,6},{4,7}} => [3,2,2]
[[1,2,5],[3,6],[4,7]] => {{1,2,5},{3,6},{4,7}} => [3,2,2]
[[1,3,4],[2,6],[5,7]] => {{1,3,4},{2,6},{5,7}} => [3,2,2]
[[1,2,4],[3,6],[5,7]] => {{1,2,4},{3,6},{5,7}} => [3,2,2]
[[1,2,3],[4,6],[5,7]] => {{1,2,3},{4,6},{5,7}} => [3,2,2]
[[1,3,5],[2,4],[6,7]] => {{1,3,5},{2,4},{6,7}} => [3,2,2]
[[1,2,5],[3,4],[6,7]] => {{1,2,5},{3,4},{6,7}} => [3,2,2]
[[1,3,4],[2,5],[6,7]] => {{1,3,4},{2,5},{6,7}} => [3,2,2]
[[1,2,4],[3,5],[6,7]] => {{1,2,4},{3,5},{6,7}} => [3,2,2]
[[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => [3,2,2]
[[1,5,7],[2,6],[3],[4]] => {{1,5,7},{2,6},{3},{4}} => [3,2,1,1]
[[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => [3,2,1,1]
[[1,3,7],[2,6],[4],[5]] => {{1,3,7},{2,6},{4},{5}} => [3,2,1,1]
[[1,2,7],[3,6],[4],[5]] => {{1,2,7},{3,6},{4},{5}} => [3,2,1,1]
[[1,4,7],[2,5],[3],[6]] => {{1,4,7},{2,5},{3},{6}} => [3,2,1,1]
[[1,3,7],[2,5],[4],[6]] => {{1,3,7},{2,5},{4},{6}} => [3,2,1,1]
[[1,2,7],[3,5],[4],[6]] => {{1,2,7},{3,5},{4},{6}} => [3,2,1,1]
[[1,3,7],[2,4],[5],[6]] => {{1,3,7},{2,4},{5},{6}} => [3,2,1,1]
[[1,2,7],[3,4],[5],[6]] => {{1,2,7},{3,4},{5},{6}} => [3,2,1,1]
[[1,5,6],[2,7],[3],[4]] => {{1,5,6},{2,7},{3},{4}} => [3,2,1,1]
[[1,4,6],[2,7],[3],[5]] => {{1,4,6},{2,7},{3},{5}} => [3,2,1,1]
[[1,3,6],[2,7],[4],[5]] => {{1,3,6},{2,7},{4},{5}} => [3,2,1,1]
[[1,2,6],[3,7],[4],[5]] => {{1,2,6},{3,7},{4},{5}} => [3,2,1,1]
[[1,4,5],[2,7],[3],[6]] => {{1,4,5},{2,7},{3},{6}} => [3,2,1,1]
[[1,3,5],[2,7],[4],[6]] => {{1,3,5},{2,7},{4},{6}} => [3,2,1,1]
[[1,2,5],[3,7],[4],[6]] => {{1,2,5},{3,7},{4},{6}} => [3,2,1,1]
[[1,3,4],[2,7],[5],[6]] => {{1,3,4},{2,7},{5},{6}} => [3,2,1,1]
[[1,2,4],[3,7],[5],[6]] => {{1,2,4},{3,7},{5},{6}} => [3,2,1,1]
[[1,2,3],[4,7],[5],[6]] => {{1,2,3},{4,7},{5},{6}} => [3,2,1,1]
[[1,4,6],[2,5],[3],[7]] => {{1,4,6},{2,5},{3},{7}} => [3,2,1,1]
[[1,3,6],[2,5],[4],[7]] => {{1,3,6},{2,5},{4},{7}} => [3,2,1,1]
[[1,2,6],[3,5],[4],[7]] => {{1,2,6},{3,5},{4},{7}} => [3,2,1,1]
[[1,3,6],[2,4],[5],[7]] => {{1,3,6},{2,4},{5},{7}} => [3,2,1,1]
[[1,2,6],[3,4],[5],[7]] => {{1,2,6},{3,4},{5},{7}} => [3,2,1,1]
[[1,4,5],[2,6],[3],[7]] => {{1,4,5},{2,6},{3},{7}} => [3,2,1,1]
[[1,3,5],[2,6],[4],[7]] => {{1,3,5},{2,6},{4},{7}} => [3,2,1,1]
[[1,2,5],[3,6],[4],[7]] => {{1,2,5},{3,6},{4},{7}} => [3,2,1,1]
[[1,3,4],[2,6],[5],[7]] => {{1,3,4},{2,6},{5},{7}} => [3,2,1,1]
[[1,2,4],[3,6],[5],[7]] => {{1,2,4},{3,6},{5},{7}} => [3,2,1,1]
[[1,2,3],[4,6],[5],[7]] => {{1,2,3},{4,6},{5},{7}} => [3,2,1,1]
[[1,3,5],[2,4],[6],[7]] => {{1,3,5},{2,4},{6},{7}} => [3,2,1,1]
[[1,2,5],[3,4],[6],[7]] => {{1,2,5},{3,4},{6},{7}} => [3,2,1,1]
[[1,3,4],[2,5],[6],[7]] => {{1,3,4},{2,5},{6},{7}} => [3,2,1,1]
[[1,2,4],[3,5],[6],[7]] => {{1,2,4},{3,5},{6},{7}} => [3,2,1,1]
[[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => [3,2,1,1]
[[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}} => [3,1,1,1,1]
[[1,5,7],[2],[3],[4],[6]] => {{1,5,7},{2},{3},{4},{6}} => [3,1,1,1,1]
[[1,4,7],[2],[3],[5],[6]] => {{1,4,7},{2},{3},{5},{6}} => [3,1,1,1,1]
[[1,3,7],[2],[4],[5],[6]] => {{1,3,7},{2},{4},{5},{6}} => [3,1,1,1,1]
[[1,2,7],[3],[4],[5],[6]] => {{1,2,7},{3},{4},{5},{6}} => [3,1,1,1,1]
[[1,5,6],[2],[3],[4],[7]] => {{1,5,6},{2},{3},{4},{7}} => [3,1,1,1,1]
[[1,4,6],[2],[3],[5],[7]] => {{1,4,6},{2},{3},{5},{7}} => [3,1,1,1,1]
[[1,3,6],[2],[4],[5],[7]] => {{1,3,6},{2},{4},{5},{7}} => [3,1,1,1,1]
[[1,2,6],[3],[4],[5],[7]] => {{1,2,6},{3},{4},{5},{7}} => [3,1,1,1,1]
[[1,4,5],[2],[3],[6],[7]] => {{1,4,5},{2},{3},{6},{7}} => [3,1,1,1,1]
[[1,3,5],[2],[4],[6],[7]] => {{1,3,5},{2},{4},{6},{7}} => [3,1,1,1,1]
[[1,2,5],[3],[4],[6],[7]] => {{1,2,5},{3},{4},{6},{7}} => [3,1,1,1,1]
[[1,3,4],[2],[5],[6],[7]] => {{1,3,4},{2},{5},{6},{7}} => [3,1,1,1,1]
[[1,2,4],[3],[5],[6],[7]] => {{1,2,4},{3},{5},{6},{7}} => [3,1,1,1,1]
[[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => [3,1,1,1,1]
[[1,5],[2,6],[3,7],[4]] => {{1,5},{2,6},{3,7},{4}} => [2,2,2,1]
[[1,4],[2,6],[3,7],[5]] => {{1,4},{2,6},{3,7},{5}} => [2,2,2,1]
[[1,3],[2,6],[4,7],[5]] => {{1,3},{2,6},{4,7},{5}} => [2,2,2,1]
[[1,2],[3,6],[4,7],[5]] => {{1,2},{3,6},{4,7},{5}} => [2,2,2,1]
[[1,4],[2,5],[3,7],[6]] => {{1,4},{2,5},{3,7},{6}} => [2,2,2,1]
[[1,3],[2,5],[4,7],[6]] => {{1,3},{2,5},{4,7},{6}} => [2,2,2,1]
[[1,2],[3,5],[4,7],[6]] => {{1,2},{3,5},{4,7},{6}} => [2,2,2,1]
[[1,3],[2,4],[5,7],[6]] => {{1,3},{2,4},{5,7},{6}} => [2,2,2,1]
[[1,2],[3,4],[5,7],[6]] => {{1,2},{3,4},{5,7},{6}} => [2,2,2,1]
[[1,4],[2,5],[3,6],[7]] => {{1,4},{2,5},{3,6},{7}} => [2,2,2,1]
[[1,3],[2,5],[4,6],[7]] => {{1,3},{2,5},{4,6},{7}} => [2,2,2,1]
[[1,2],[3,5],[4,6],[7]] => {{1,2},{3,5},{4,6},{7}} => [2,2,2,1]
[[1,3],[2,4],[5,6],[7]] => {{1,3},{2,4},{5,6},{7}} => [2,2,2,1]
[[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => [2,2,2,1]
[[1,6],[2,7],[3],[4],[5]] => {{1,6},{2,7},{3},{4},{5}} => [2,2,1,1,1]
[[1,5],[2,7],[3],[4],[6]] => {{1,5},{2,7},{3},{4},{6}} => [2,2,1,1,1]
[[1,4],[2,7],[3],[5],[6]] => {{1,4},{2,7},{3},{5},{6}} => [2,2,1,1,1]
[[1,3],[2,7],[4],[5],[6]] => {{1,3},{2,7},{4},{5},{6}} => [2,2,1,1,1]
[[1,2],[3,7],[4],[5],[6]] => {{1,2},{3,7},{4},{5},{6}} => [2,2,1,1,1]
[[1,5],[2,6],[3],[4],[7]] => {{1,5},{2,6},{3},{4},{7}} => [2,2,1,1,1]
[[1,4],[2,6],[3],[5],[7]] => {{1,4},{2,6},{3},{5},{7}} => [2,2,1,1,1]
[[1,3],[2,6],[4],[5],[7]] => {{1,3},{2,6},{4},{5},{7}} => [2,2,1,1,1]
[[1,2],[3,6],[4],[5],[7]] => {{1,2},{3,6},{4},{5},{7}} => [2,2,1,1,1]
[[1,4],[2,5],[3],[6],[7]] => {{1,4},{2,5},{3},{6},{7}} => [2,2,1,1,1]
[[1,3],[2,5],[4],[6],[7]] => {{1,3},{2,5},{4},{6},{7}} => [2,2,1,1,1]
[[1,2],[3,5],[4],[6],[7]] => {{1,2},{3,5},{4},{6},{7}} => [2,2,1,1,1]
[[1,3],[2,4],[5],[6],[7]] => {{1,3},{2,4},{5},{6},{7}} => [2,2,1,1,1]
[[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => [2,2,1,1,1]
[[1,7],[2],[3],[4],[5],[6]] => {{1,7},{2},{3},{4},{5},{6}} => [2,1,1,1,1,1]
[[1,6],[2],[3],[4],[5],[7]] => {{1,6},{2},{3},{4},{5},{7}} => [2,1,1,1,1,1]
[[1,5],[2],[3],[4],[6],[7]] => {{1,5},{2},{3},{4},{6},{7}} => [2,1,1,1,1,1]
[[1,4],[2],[3],[5],[6],[7]] => {{1,4},{2},{3},{5},{6},{7}} => [2,1,1,1,1,1]
[[1,3],[2],[4],[5],[6],[7]] => {{1,3},{2},{4},{5},{6},{7}} => [2,1,1,1,1,1]
[[1,2],[3],[4],[5],[6],[7]] => {{1,2},{3},{4},{5},{6},{7}} => [2,1,1,1,1,1]
[[1],[2],[3],[4],[5],[6],[7]] => {{1},{2},{3},{4},{5},{6},{7}} => [1,1,1,1,1,1,1]
[[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]] => {{1,3,4,5,6,7,8},{2}} => [7,1]
[[1,2,4,5,6,7,8],[3]] => {{1,2,4,5,6,7,8},{3}} => [7,1]
[[1,2,3,5,6,7,8],[4]] => {{1,2,3,5,6,7,8},{4}} => [7,1]
[[1,2,3,4,6,7,8],[5]] => {{1,2,3,4,6,7,8},{5}} => [7,1]
[[1,2,3,4,5,7,8],[6]] => {{1,2,3,4,5,7,8},{6}} => [7,1]
[[1,2,3,4,5,6,8],[7]] => {{1,2,3,4,5,6,8},{7}} => [7,1]
[[1,2,3,4,5,6,7],[8]] => {{1,2,3,4,5,6,7},{8}} => [7,1]
[[1,3,5,6,7,8],[2,4]] => {{1,3,5,6,7,8},{2,4}} => [6,2]
[[1,3,4,6,7,8],[2,5]] => {{1,3,4,6,7,8},{2,5}} => [6,2]
[[1,2,4,6,7,8],[3,5]] => {{1,2,4,6,7,8},{3,5}} => [6,2]
[[1,2,3,6,7,8],[4,5]] => {{1,2,3,6,7,8},{4,5}} => [6,2]
[[1,2,4,5,7,8],[3,6]] => {{1,2,4,5,7,8},{3,6}} => [6,2]
[[1,2,3,5,7,8],[4,6]] => {{1,2,3,5,7,8},{4,6}} => [6,2]
[[1,2,4,5,6,8],[3,7]] => {{1,2,4,5,6,8},{3,7}} => [6,2]
[[1,2,3,5,6,8],[4,7]] => {{1,2,3,5,6,8},{4,7}} => [6,2]
[[1,2,3,4,6,8],[5,7]] => {{1,2,3,4,6,8},{5,7}} => [6,2]
[[1,2,3,4,5,8],[6,7]] => {{1,2,3,4,5,8},{6,7}} => [6,2]
[[1,2,4,5,6,7],[3,8]] => {{1,2,4,5,6,7},{3,8}} => [6,2]
[[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => [6,2]
[[1,2,4,6,7,8],[3],[5]] => {{1,2,4,6,7,8},{3},{5}} => [6,1,1]
[[1,2,3,6,7,8],[4],[5]] => {{1,2,3,6,7,8},{4},{5}} => [6,1,1]
[[1,2,4,5,7,8],[3],[6]] => {{1,2,4,5,7,8},{3},{6}} => [6,1,1]
[[1,2,3,5,7,8],[4],[6]] => {{1,2,3,5,7,8},{4},{6}} => [6,1,1]
[[1,2,3,4,7,8],[5],[6]] => {{1,2,3,4,7,8},{5},{6}} => [6,1,1]
[[1,3,4,5,6,8],[2],[7]] => {{1,3,4,5,6,8},{2},{7}} => [6,1,1]
[[1,2,4,5,6,8],[3],[7]] => {{1,2,4,5,6,8},{3},{7}} => [6,1,1]
[[1,2,3,4,6,8],[5],[7]] => {{1,2,3,4,6,8},{5},{7}} => [6,1,1]
[[1,3,4,5,6,7],[2],[8]] => {{1,3,4,5,6,7},{2},{8}} => [6,1,1]
[[1,2,3,5,6,7],[4],[8]] => {{1,2,3,5,6,7},{4},{8}} => [6,1,1]
[[1,2,3,4,6,7],[5],[8]] => {{1,2,3,4,6,7},{5},{8}} => [6,1,1]
[[1,2,3,4,5,7],[6],[8]] => {{1,2,3,4,5,7},{6},{8}} => [6,1,1]
[[1,2,3,4,5,6],[7],[8]] => {{1,2,3,4,5,6},{7},{8}} => [6,1,1]
[[1,3,5,7,8],[2,4,6]] => {{1,3,5,7,8},{2,4,6}} => [5,3]
[[1,2,5,7,8],[3,4,6]] => {{1,2,5,7,8},{3,4,6}} => [5,3]
[[1,3,4,7,8],[2,5,6]] => {{1,3,4,7,8},{2,5,6}} => [5,3]
[[1,2,4,7,8],[3,5,6]] => {{1,2,4,7,8},{3,5,6}} => [5,3]
[[1,2,3,7,8],[4,5,6]] => {{1,2,3,7,8},{4,5,6}} => [5,3]
[[1,2,5,6,8],[3,4,7]] => {{1,2,5,6,8},{3,4,7}} => [5,3]
[[1,3,4,6,8],[2,5,7]] => {{1,3,4,6,8},{2,5,7}} => [5,3]
[[1,2,4,6,8],[3,5,7]] => {{1,2,4,6,8},{3,5,7}} => [5,3]
[[1,2,3,6,8],[4,5,7]] => {{1,2,3,6,8},{4,5,7}} => [5,3]
[[1,2,3,5,8],[4,6,7]] => {{1,2,3,5,8},{4,6,7}} => [5,3]
[[1,2,3,4,8],[5,6,7]] => {{1,2,3,4,8},{5,6,7}} => [5,3]
[[1,2,3,6,7],[4,5,8]] => {{1,2,3,6,7},{4,5,8}} => [5,3]
[[1,3,4,5,7],[2,6,8]] => {{1,3,4,5,7},{2,6,8}} => [5,3]
[[1,2,3,4,7],[5,6,8]] => {{1,2,3,4,7},{5,6,8}} => [5,3]
[[1,2,4,5,6],[3,7,8]] => {{1,2,4,5,6},{3,7,8}} => [5,3]
[[1,2,3,5,6],[4,7,8]] => {{1,2,3,5,6},{4,7,8}} => [5,3]
[[1,2,3,4,6],[5,7,8]] => {{1,2,3,4,6},{5,7,8}} => [5,3]
[[1,2,3,4,5],[6,7,8]] => {{1,2,3,4,5},{6,7,8}} => [5,3]
[[1,3,6,7,8],[2,4],[5]] => {{1,3,6,7,8},{2,4},{5}} => [5,2,1]
[[1,3,4,7,8],[2,6],[5]] => {{1,3,4,7,8},{2,6},{5}} => [5,2,1]
[[1,2,4,7,8],[3,6],[5]] => {{1,2,4,7,8},{3,6},{5}} => [5,2,1]
[[1,2,3,7,8],[4,6],[5]] => {{1,2,3,7,8},{4,6},{5}} => [5,2,1]
[[1,3,4,5,8],[2,7],[6]] => {{1,3,4,5,8},{2,7},{6}} => [5,2,1]
[[1,2,3,4,8],[5,7],[6]] => {{1,2,3,4,8},{5,7},{6}} => [5,2,1]
[[1,2,5,6,8],[3,4],[7]] => {{1,2,5,6,8},{3,4},{7}} => [5,2,1]
[[1,2,3,6,8],[4,5],[7]] => {{1,2,3,6,8},{4,5},{7}} => [5,2,1]
[[1,2,3,4,8],[5,6],[7]] => {{1,2,3,4,8},{5,6},{7}} => [5,2,1]
[[1,3,4,6,7],[2,8],[5]] => {{1,3,4,6,7},{2,8},{5}} => [5,2,1]
[[1,2,4,6,7],[3,8],[5]] => {{1,2,4,6,7},{3,8},{5}} => [5,2,1]
[[1,3,4,5,7],[2,8],[6]] => {{1,3,4,5,7},{2,8},{6}} => [5,2,1]
[[1,2,3,5,7],[4,8],[6]] => {{1,2,3,5,7},{4,8},{6}} => [5,2,1]
[[1,3,4,5,6],[2,8],[7]] => {{1,3,4,5,6},{2,8},{7}} => [5,2,1]
[[1,2,3,5,6],[4,8],[7]] => {{1,2,3,5,6},{4,8},{7}} => [5,2,1]
[[1,2,3,4,6],[5,8],[7]] => {{1,2,3,4,6},{5,8},{7}} => [5,2,1]
[[1,2,3,4,5],[6,8],[7]] => {{1,2,3,4,5},{6,8},{7}} => [5,2,1]
[[1,3,5,6,7],[2,4],[8]] => {{1,3,5,6,7},{2,4},{8}} => [5,2,1]
[[1,2,3,6,7],[4,5],[8]] => {{1,2,3,6,7},{4,5},{8}} => [5,2,1]
[[1,2,3,5,7],[4,6],[8]] => {{1,2,3,5,7},{4,6},{8}} => [5,2,1]
[[1,2,3,4,7],[5,6],[8]] => {{1,2,3,4,7},{5,6},{8}} => [5,2,1]
[[1,2,3,5,6],[4,7],[8]] => {{1,2,3,5,6},{4,7},{8}} => [5,2,1]
[[1,2,3,4,6],[5,7],[8]] => {{1,2,3,4,6},{5,7},{8}} => [5,2,1]
[[1,2,3,4,5],[6,7],[8]] => {{1,2,3,4,5},{6,7},{8}} => [5,2,1]
[[1,5,6,7,8],[2],[3],[4]] => {{1,5,6,7,8},{2},{3},{4}} => [5,1,1,1]
[[1,3,5,7,8],[2],[4],[6]] => {{1,3,5,7,8},{2},{4},{6}} => [5,1,1,1]
[[1,2,5,7,8],[3],[4],[6]] => {{1,2,5,7,8},{3},{4},{6}} => [5,1,1,1]
[[1,3,4,7,8],[2],[5],[6]] => {{1,3,4,7,8},{2},{5},{6}} => [5,1,1,1]
[[1,2,4,7,8],[3],[5],[6]] => {{1,2,4,7,8},{3},{5},{6}} => [5,1,1,1]
[[1,2,3,7,8],[4],[5],[6]] => {{1,2,3,7,8},{4},{5},{6}} => [5,1,1,1]
[[1,4,5,6,8],[2],[3],[7]] => {{1,4,5,6,8},{2},{3},{7}} => [5,1,1,1]
[[1,3,5,6,8],[2],[4],[7]] => {{1,3,5,6,8},{2},{4},{7}} => [5,1,1,1]
[[1,2,5,6,8],[3],[4],[7]] => {{1,2,5,6,8},{3},{4},{7}} => [5,1,1,1]
[[1,3,4,6,8],[2],[5],[7]] => {{1,3,4,6,8},{2},{5},{7}} => [5,1,1,1]
[[1,2,4,6,8],[3],[5],[7]] => {{1,2,4,6,8},{3},{5},{7}} => [5,1,1,1]
[[1,2,3,6,8],[4],[5],[7]] => {{1,2,3,6,8},{4},{5},{7}} => [5,1,1,1]
[[1,3,4,5,8],[2],[6],[7]] => {{1,3,4,5,8},{2},{6},{7}} => [5,1,1,1]
[[1,2,3,5,8],[4],[6],[7]] => {{1,2,3,5,8},{4},{6},{7}} => [5,1,1,1]
[[1,2,3,4,8],[5],[6],[7]] => {{1,2,3,4,8},{5},{6},{7}} => [5,1,1,1]
[[1,4,5,6,7],[2],[3],[8]] => {{1,4,5,6,7},{2},{3},{8}} => [5,1,1,1]
[[1,2,5,6,7],[3],[4],[8]] => {{1,2,5,6,7},{3},{4},{8}} => [5,1,1,1]
[[1,2,3,5,7],[4],[6],[8]] => {{1,2,3,5,7},{4},{6},{8}} => [5,1,1,1]
[[1,2,3,4,7],[5],[6],[8]] => {{1,2,3,4,7},{5},{6},{8}} => [5,1,1,1]
[[1,3,4,5,6],[2],[7],[8]] => {{1,3,4,5,6},{2},{7},{8}} => [5,1,1,1]
[[1,2,3,5,6],[4],[7],[8]] => {{1,2,3,5,6},{4},{7},{8}} => [5,1,1,1]
[[1,2,3,4,6],[5],[7],[8]] => {{1,2,3,4,6},{5},{7},{8}} => [5,1,1,1]
[[1,2,3,4,5],[6],[7],[8]] => {{1,2,3,4,5},{6},{7},{8}} => [5,1,1,1]
[[1,3,5,7],[2,4,6,8]] => {{1,3,5,7},{2,4,6,8}} => [4,4]
[[1,2,5,7],[3,4,6,8]] => {{1,2,5,7},{3,4,6,8}} => [4,4]
[[1,3,4,7],[2,5,6,8]] => {{1,3,4,7},{2,5,6,8}} => [4,4]
[[1,2,3,7],[4,5,6,8]] => {{1,2,3,7},{4,5,6,8}} => [4,4]
[[1,3,5,6],[2,4,7,8]] => {{1,3,5,6},{2,4,7,8}} => [4,4]
[[1,2,5,6],[3,4,7,8]] => {{1,2,5,6},{3,4,7,8}} => [4,4]
[[1,2,4,6],[3,5,7,8]] => {{1,2,4,6},{3,5,7,8}} => [4,4]
[[1,2,3,6],[4,5,7,8]] => {{1,2,3,6},{4,5,7,8}} => [4,4]
[[1,2,3,4],[5,6,7,8]] => {{1,2,3,4},{5,6,7,8}} => [4,4]
[[1,3,6,8],[2,5,7],[4]] => {{1,3,6,8},{2,5,7},{4}} => [4,3,1]
[[1,2,6,8],[3,5,7],[4]] => {{1,2,6,8},{3,5,7},{4}} => [4,3,1]
[[1,2,5,8],[3,6,7],[4]] => {{1,2,5,8},{3,6,7},{4}} => [4,3,1]
[[1,2,3,8],[4,5,7],[6]] => {{1,2,3,8},{4,5,7},{6}} => [4,3,1]
[[1,2,5,8],[3,4,6],[7]] => {{1,2,5,8},{3,4,6},{7}} => [4,3,1]
[[1,2,4,8],[3,5,6],[7]] => {{1,2,4,8},{3,5,6},{7}} => [4,3,1]
[[1,2,3,8],[4,5,6],[7]] => {{1,2,3,8},{4,5,6},{7}} => [4,3,1]
[[1,2,4,7],[3,6,8],[5]] => {{1,2,4,7},{3,6,8},{5}} => [4,3,1]
[[1,3,5,7],[2,4,8],[6]] => {{1,3,5,7},{2,4,8},{6}} => [4,3,1]
[[1,2,4,7],[3,5,8],[6]] => {{1,2,4,7},{3,5,8},{6}} => [4,3,1]
[[1,3,4,5],[2,7,8],[6]] => {{1,3,4,5},{2,7,8},{6}} => [4,3,1]
[[1,2,4,5],[3,7,8],[6]] => {{1,2,4,5},{3,7,8},{6}} => [4,3,1]
[[1,2,3,4],[5,7,8],[6]] => {{1,2,3,4},{5,7,8},{6}} => [4,3,1]
[[1,3,5,6],[2,4,8],[7]] => {{1,3,5,6},{2,4,8},{7}} => [4,3,1]
[[1,2,3,6],[4,5,8],[7]] => {{1,2,3,6},{4,5,8},{7}} => [4,3,1]
[[1,2,3,4],[5,6,8],[7]] => {{1,2,3,4},{5,6,8},{7}} => [4,3,1]
[[1,2,3,7],[4,5,6],[8]] => {{1,2,3,7},{4,5,6},{8}} => [4,3,1]
[[1,2,3,5],[4,6,7],[8]] => {{1,2,3,5},{4,6,7},{8}} => [4,3,1]
[[1,2,3,4],[5,6,7],[8]] => {{1,2,3,4},{5,6,7},{8}} => [4,3,1]
[[1,2,7,8],[3,5],[4,6]] => {{1,2,7,8},{3,5},{4,6}} => [4,2,2]
[[1,2,6,8],[3,5],[4,7]] => {{1,2,6,8},{3,5},{4,7}} => [4,2,2]
[[1,3,6,8],[2,4],[5,7]] => {{1,3,6,8},{2,4},{5,7}} => [4,2,2]
[[1,3,5,8],[2,6],[4,7]] => {{1,3,5,8},{2,6},{4,7}} => [4,2,2]
[[1,3,5,8],[2,4],[6,7]] => {{1,3,5,8},{2,4},{6,7}} => [4,2,2]
[[1,2,4,8],[3,5],[6,7]] => {{1,2,4,8},{3,5},{6,7}} => [4,2,2]
[[1,2,3,8],[4,5],[6,7]] => {{1,2,3,8},{4,5},{6,7}} => [4,2,2]
[[1,4,5,7],[2,6],[3,8]] => {{1,4,5,7},{2,6},{3,8}} => [4,2,2]
[[1,3,5,7],[2,6],[4,8]] => {{1,3,5,7},{2,6},{4,8}} => [4,2,2]
[[1,3,5,6],[2,4],[7,8]] => {{1,3,5,6},{2,4},{7,8}} => [4,2,2]
[[1,2,4,6],[3,5],[7,8]] => {{1,2,4,6},{3,5},{7,8}} => [4,2,2]
[[1,2,3,6],[4,5],[7,8]] => {{1,2,3,6},{4,5},{7,8}} => [4,2,2]
[[1,2,3,4],[5,6],[7,8]] => {{1,2,3,4},{5,6},{7,8}} => [4,2,2]
[[1,5,7,8],[2,6],[3],[4]] => {{1,5,7,8},{2,6},{3},{4}} => [4,2,1,1]
[[1,4,7,8],[2,6],[3],[5]] => {{1,4,7,8},{2,6},{3},{5}} => [4,2,1,1]
[[1,3,7,8],[2,6],[4],[5]] => {{1,3,7,8},{2,6},{4},{5}} => [4,2,1,1]
[[1,2,7,8],[3,6],[4],[5]] => {{1,2,7,8},{3,6},{4},{5}} => [4,2,1,1]
[[1,3,7,8],[2,5],[4],[6]] => {{1,3,7,8},{2,5},{4},{6}} => [4,2,1,1]
[[1,2,7,8],[3,5],[4],[6]] => {{1,2,7,8},{3,5},{4},{6}} => [4,2,1,1]
[[1,3,7,8],[2,4],[5],[6]] => {{1,3,7,8},{2,4},{5},{6}} => [4,2,1,1]
[[1,2,7,8],[3,4],[5],[6]] => {{1,2,7,8},{3,4},{5},{6}} => [4,2,1,1]
[[1,5,6,8],[2,7],[3],[4]] => {{1,5,6,8},{2,7},{3},{4}} => [4,2,1,1]
[[1,4,6,8],[2,7],[3],[5]] => {{1,4,6,8},{2,7},{3},{5}} => [4,2,1,1]
[[1,3,6,8],[2,7],[4],[5]] => {{1,3,6,8},{2,7},{4},{5}} => [4,2,1,1]
[[1,2,6,8],[3,7],[4],[5]] => {{1,2,6,8},{3,7},{4},{5}} => [4,2,1,1]
[[1,4,5,8],[2,7],[3],[6]] => {{1,4,5,8},{2,7},{3},{6}} => [4,2,1,1]
[[1,3,5,8],[2,7],[4],[6]] => {{1,3,5,8},{2,7},{4},{6}} => [4,2,1,1]
[[1,2,5,8],[3,7],[4],[6]] => {{1,2,5,8},{3,7},{4},{6}} => [4,2,1,1]
[[1,3,4,8],[2,7],[5],[6]] => {{1,3,4,8},{2,7},{5},{6}} => [4,2,1,1]
[[1,2,4,8],[3,7],[5],[6]] => {{1,2,4,8},{3,7},{5},{6}} => [4,2,1,1]
[[1,2,3,8],[4,7],[5],[6]] => {{1,2,3,8},{4,7},{5},{6}} => [4,2,1,1]
[[1,4,6,8],[2,5],[3],[7]] => {{1,4,6,8},{2,5},{3},{7}} => [4,2,1,1]
[[1,3,6,8],[2,5],[4],[7]] => {{1,3,6,8},{2,5},{4},{7}} => [4,2,1,1]
[[1,2,6,8],[3,5],[4],[7]] => {{1,2,6,8},{3,5},{4},{7}} => [4,2,1,1]
[[1,3,6,8],[2,4],[5],[7]] => {{1,3,6,8},{2,4},{5},{7}} => [4,2,1,1]
[[1,2,6,8],[3,4],[5],[7]] => {{1,2,6,8},{3,4},{5},{7}} => [4,2,1,1]
[[1,4,5,8],[2,6],[3],[7]] => {{1,4,5,8},{2,6},{3},{7}} => [4,2,1,1]
[[1,3,5,8],[2,6],[4],[7]] => {{1,3,5,8},{2,6},{4},{7}} => [4,2,1,1]
[[1,2,5,8],[3,6],[4],[7]] => {{1,2,5,8},{3,6},{4},{7}} => [4,2,1,1]
[[1,3,4,8],[2,6],[5],[7]] => {{1,3,4,8},{2,6},{5},{7}} => [4,2,1,1]
[[1,2,4,8],[3,6],[5],[7]] => {{1,2,4,8},{3,6},{5},{7}} => [4,2,1,1]
[[1,2,3,8],[4,6],[5],[7]] => {{1,2,3,8},{4,6},{5},{7}} => [4,2,1,1]
[[1,2,5,8],[3,4],[6],[7]] => {{1,2,5,8},{3,4},{6},{7}} => [4,2,1,1]
[[1,3,4,8],[2,5],[6],[7]] => {{1,3,4,8},{2,5},{6},{7}} => [4,2,1,1]
[[1,2,4,8],[3,5],[6],[7]] => {{1,2,4,8},{3,5},{6},{7}} => [4,2,1,1]
[[1,2,3,8],[4,5],[6],[7]] => {{1,2,3,8},{4,5},{6},{7}} => [4,2,1,1]
[[1,5,6,7],[2,8],[3],[4]] => {{1,5,6,7},{2,8},{3},{4}} => [4,2,1,1]
[[1,4,6,7],[2,8],[3],[5]] => {{1,4,6,7},{2,8},{3},{5}} => [4,2,1,1]
[[1,3,6,7],[2,8],[4],[5]] => {{1,3,6,7},{2,8},{4},{5}} => [4,2,1,1]
[[1,2,6,7],[3,8],[4],[5]] => {{1,2,6,7},{3,8},{4},{5}} => [4,2,1,1]
[[1,4,5,7],[2,8],[3],[6]] => {{1,4,5,7},{2,8},{3},{6}} => [4,2,1,1]
[[1,3,5,7],[2,8],[4],[6]] => {{1,3,5,7},{2,8},{4},{6}} => [4,2,1,1]
[[1,2,5,7],[3,8],[4],[6]] => {{1,2,5,7},{3,8},{4},{6}} => [4,2,1,1]
[[1,3,4,7],[2,8],[5],[6]] => {{1,3,4,7},{2,8},{5},{6}} => [4,2,1,1]
[[1,2,4,7],[3,8],[5],[6]] => {{1,2,4,7},{3,8},{5},{6}} => [4,2,1,1]
[[1,4,5,6],[2,8],[3],[7]] => {{1,4,5,6},{2,8},{3},{7}} => [4,2,1,1]
[[1,3,5,6],[2,8],[4],[7]] => {{1,3,5,6},{2,8},{4},{7}} => [4,2,1,1]
[[1,2,5,6],[3,8],[4],[7]] => {{1,2,5,6},{3,8},{4},{7}} => [4,2,1,1]
[[1,3,4,6],[2,8],[5],[7]] => {{1,3,4,6},{2,8},{5},{7}} => [4,2,1,1]
[[1,2,4,6],[3,8],[5],[7]] => {{1,2,4,6},{3,8},{5},{7}} => [4,2,1,1]
[[1,2,3,6],[4,8],[5],[7]] => {{1,2,3,6},{4,8},{5},{7}} => [4,2,1,1]
[[1,3,4,5],[2,8],[6],[7]] => {{1,3,4,5},{2,8},{6},{7}} => [4,2,1,1]
[[1,2,4,5],[3,8],[6],[7]] => {{1,2,4,5},{3,8},{6},{7}} => [4,2,1,1]
[[1,2,3,5],[4,8],[6],[7]] => {{1,2,3,5},{4,8},{6},{7}} => [4,2,1,1]
[[1,4,6,7],[2,5],[3],[8]] => {{1,4,6,7},{2,5},{3},{8}} => [4,2,1,1]
[[1,3,6,7],[2,5],[4],[8]] => {{1,3,6,7},{2,5},{4},{8}} => [4,2,1,1]
[[1,4,5,7],[2,6],[3],[8]] => {{1,4,5,7},{2,6},{3},{8}} => [4,2,1,1]
[[1,3,5,7],[2,6],[4],[8]] => {{1,3,5,7},{2,6},{4},{8}} => [4,2,1,1]
[[1,2,5,7],[3,6],[4],[8]] => {{1,2,5,7},{3,6},{4},{8}} => [4,2,1,1]
[[1,3,4,7],[2,6],[5],[8]] => {{1,3,4,7},{2,6},{5},{8}} => [4,2,1,1]
[[1,2,4,7],[3,6],[5],[8]] => {{1,2,4,7},{3,6},{5},{8}} => [4,2,1,1]
[[1,2,3,7],[4,6],[5],[8]] => {{1,2,3,7},{4,6},{5},{8}} => [4,2,1,1]
[[1,3,5,7],[2,4],[6],[8]] => {{1,3,5,7},{2,4},{6},{8}} => [4,2,1,1]
[[1,2,5,7],[3,4],[6],[8]] => {{1,2,5,7},{3,4},{6},{8}} => [4,2,1,1]
[[1,2,4,7],[3,5],[6],[8]] => {{1,2,4,7},{3,5},{6},{8}} => [4,2,1,1]
[[1,2,3,7],[4,5],[6],[8]] => {{1,2,3,7},{4,5},{6},{8}} => [4,2,1,1]
[[1,4,5,6],[2,7],[3],[8]] => {{1,4,5,6},{2,7},{3},{8}} => [4,2,1,1]
[[1,3,4,6],[2,7],[5],[8]] => {{1,3,4,6},{2,7},{5},{8}} => [4,2,1,1]
[[1,2,4,6],[3,7],[5],[8]] => {{1,2,4,6},{3,7},{5},{8}} => [4,2,1,1]
[[1,2,3,6],[4,7],[5],[8]] => {{1,2,3,6},{4,7},{5},{8}} => [4,2,1,1]
[[1,3,4,5],[2,7],[6],[8]] => {{1,3,4,5},{2,7},{6},{8}} => [4,2,1,1]
[[1,2,4,5],[3,7],[6],[8]] => {{1,2,4,5},{3,7},{6},{8}} => [4,2,1,1]
[[1,2,3,5],[4,7],[6],[8]] => {{1,2,3,5},{4,7},{6},{8}} => [4,2,1,1]
[[1,2,5,6],[3,4],[7],[8]] => {{1,2,5,6},{3,4},{7},{8}} => [4,2,1,1]
[[1,2,4,6],[3,5],[7],[8]] => {{1,2,4,6},{3,5},{7},{8}} => [4,2,1,1]
[[1,2,3,6],[4,5],[7],[8]] => {{1,2,3,6},{4,5},{7},{8}} => [4,2,1,1]
[[1,3,4,5],[2,6],[7],[8]] => {{1,3,4,5},{2,6},{7},{8}} => [4,2,1,1]
[[1,2,4,5],[3,6],[7],[8]] => {{1,2,4,5},{3,6},{7},{8}} => [4,2,1,1]
[[1,2,3,5],[4,6],[7],[8]] => {{1,2,3,5},{4,6},{7},{8}} => [4,2,1,1]
[[1,6,7,8],[2],[3],[4],[5]] => {{1,6,7,8},{2},{3},{4},{5}} => [4,1,1,1,1]
[[1,5,7,8],[2],[3],[4],[6]] => {{1,5,7,8},{2},{3},{4},{6}} => [4,1,1,1,1]
[[1,3,7,8],[2],[4],[5],[6]] => {{1,3,7,8},{2},{4},{5},{6}} => [4,1,1,1,1]
[[1,2,7,8],[3],[4],[5],[6]] => {{1,2,7,8},{3},{4},{5},{6}} => [4,1,1,1,1]
[[1,5,6,8],[2],[3],[4],[7]] => {{1,5,6,8},{2},{3},{4},{7}} => [4,1,1,1,1]
[[1,4,6,8],[2],[3],[5],[7]] => {{1,4,6,8},{2},{3},{5},{7}} => [4,1,1,1,1]
[[1,4,5,8],[2],[3],[6],[7]] => {{1,4,5,8},{2},{3},{6},{7}} => [4,1,1,1,1]
[[1,3,5,8],[2],[4],[6],[7]] => {{1,3,5,8},{2},{4},{6},{7}} => [4,1,1,1,1]
[[1,3,4,8],[2],[5],[6],[7]] => {{1,3,4,8},{2},{5},{6},{7}} => [4,1,1,1,1]
[[1,2,4,8],[3],[5],[6],[7]] => {{1,2,4,8},{3},{5},{6},{7}} => [4,1,1,1,1]
[[1,2,3,8],[4],[5],[6],[7]] => {{1,2,3,8},{4},{5},{6},{7}} => [4,1,1,1,1]
[[1,3,5,7],[2],[4],[6],[8]] => {{1,3,5,7},{2},{4},{6},{8}} => [4,1,1,1,1]
[[1,2,3,4],[5],[6],[7],[8]] => {{1,2,3,4},{5},{6},{7},{8}} => [4,1,1,1,1]
[[1,3,7],[2,4,8],[5,6]] => {{1,3,7},{2,4,8},{5,6}} => [3,3,2]
[[1,4,5],[2,6,8],[3,7]] => {{1,4,5},{2,6,8},{3,7}} => [3,3,2]
[[1,3,4],[2,6,8],[5,7]] => {{1,3,4},{2,6,8},{5,7}} => [3,3,2]
[[1,3,5],[2,4,8],[6,7]] => {{1,3,5},{2,4,8},{6,7}} => [3,3,2]
[[1,2,5],[3,4,8],[6,7]] => {{1,2,5},{3,4,8},{6,7}} => [3,3,2]
[[1,3,4],[2,5,8],[6,7]] => {{1,3,4},{2,5,8},{6,7}} => [3,3,2]
[[1,2,4],[3,5,8],[6,7]] => {{1,2,4},{3,5,8},{6,7}} => [3,3,2]
[[1,2,3],[4,5,8],[6,7]] => {{1,2,3},{4,5,8},{6,7}} => [3,3,2]
[[1,4,6],[2,5,7],[3,8]] => {{1,4,6},{2,5,7},{3,8}} => [3,3,2]
[[1,2,5],[3,4,6],[7,8]] => {{1,2,5},{3,4,6},{7,8}} => [3,3,2]
[[1,3,4],[2,5,6],[7,8]] => {{1,3,4},{2,5,6},{7,8}} => [3,3,2]
[[1,2,4],[3,5,6],[7,8]] => {{1,2,4},{3,5,6},{7,8}} => [3,3,2]
[[1,5,7],[2,6,8],[3],[4]] => {{1,5,7},{2,6,8},{3},{4}} => [3,3,1,1]
[[1,4,7],[2,6,8],[3],[5]] => {{1,4,7},{2,6,8},{3},{5}} => [3,3,1,1]
[[1,3,7],[2,6,8],[4],[5]] => {{1,3,7},{2,6,8},{4},{5}} => [3,3,1,1]
[[1,2,7],[3,6,8],[4],[5]] => {{1,2,7},{3,6,8},{4},{5}} => [3,3,1,1]
[[1,4,7],[2,5,8],[3],[6]] => {{1,4,7},{2,5,8},{3},{6}} => [3,3,1,1]
[[1,3,7],[2,5,8],[4],[6]] => {{1,3,7},{2,5,8},{4},{6}} => [3,3,1,1]
[[1,2,7],[3,5,8],[4],[6]] => {{1,2,7},{3,5,8},{4},{6}} => [3,3,1,1]
[[1,3,7],[2,4,8],[5],[6]] => {{1,3,7},{2,4,8},{5},{6}} => [3,3,1,1]
[[1,2,7],[3,4,8],[5],[6]] => {{1,2,7},{3,4,8},{5},{6}} => [3,3,1,1]
[[1,5,6],[2,7,8],[3],[4]] => {{1,5,6},{2,7,8},{3},{4}} => [3,3,1,1]
[[1,4,6],[2,7,8],[3],[5]] => {{1,4,6},{2,7,8},{3},{5}} => [3,3,1,1]
[[1,3,6],[2,7,8],[4],[5]] => {{1,3,6},{2,7,8},{4},{5}} => [3,3,1,1]
[[1,2,6],[3,7,8],[4],[5]] => {{1,2,6},{3,7,8},{4},{5}} => [3,3,1,1]
[[1,4,5],[2,7,8],[3],[6]] => {{1,4,5},{2,7,8},{3},{6}} => [3,3,1,1]
[[1,3,5],[2,7,8],[4],[6]] => {{1,3,5},{2,7,8},{4},{6}} => [3,3,1,1]
[[1,2,5],[3,7,8],[4],[6]] => {{1,2,5},{3,7,8},{4},{6}} => [3,3,1,1]
[[1,3,4],[2,7,8],[5],[6]] => {{1,3,4},{2,7,8},{5},{6}} => [3,3,1,1]
[[1,2,4],[3,7,8],[5],[6]] => {{1,2,4},{3,7,8},{5},{6}} => [3,3,1,1]
[[1,4,6],[2,5,8],[3],[7]] => {{1,4,6},{2,5,8},{3},{7}} => [3,3,1,1]
[[1,3,6],[2,5,8],[4],[7]] => {{1,3,6},{2,5,8},{4},{7}} => [3,3,1,1]
[[1,2,6],[3,5,8],[4],[7]] => {{1,2,6},{3,5,8},{4},{7}} => [3,3,1,1]
[[1,3,6],[2,4,8],[5],[7]] => {{1,3,6},{2,4,8},{5},{7}} => [3,3,1,1]
[[1,2,6],[3,4,8],[5],[7]] => {{1,2,6},{3,4,8},{5},{7}} => [3,3,1,1]
[[1,4,5],[2,6,8],[3],[7]] => {{1,4,5},{2,6,8},{3},{7}} => [3,3,1,1]
[[1,3,5],[2,6,8],[4],[7]] => {{1,3,5},{2,6,8},{4},{7}} => [3,3,1,1]
[[1,2,5],[3,6,8],[4],[7]] => {{1,2,5},{3,6,8},{4},{7}} => [3,3,1,1]
[[1,3,4],[2,6,8],[5],[7]] => {{1,3,4},{2,6,8},{5},{7}} => [3,3,1,1]
[[1,2,4],[3,6,8],[5],[7]] => {{1,2,4},{3,6,8},{5},{7}} => [3,3,1,1]
[[1,2,5],[3,4,8],[6],[7]] => {{1,2,5},{3,4,8},{6},{7}} => [3,3,1,1]
[[1,2,4],[3,5,8],[6],[7]] => {{1,2,4},{3,5,8},{6},{7}} => [3,3,1,1]
[[1,2,3],[4,5,8],[6],[7]] => {{1,2,3},{4,5,8},{6},{7}} => [3,3,1,1]
[[1,4,6],[2,5,7],[3],[8]] => {{1,4,6},{2,5,7},{3},{8}} => [3,3,1,1]
[[1,3,6],[2,5,7],[4],[8]] => {{1,3,6},{2,5,7},{4},{8}} => [3,3,1,1]
[[1,2,6],[3,5,7],[4],[8]] => {{1,2,6},{3,5,7},{4},{8}} => [3,3,1,1]
[[1,3,6],[2,4,7],[5],[8]] => {{1,3,6},{2,4,7},{5},{8}} => [3,3,1,1]
[[1,3,5],[2,6,7],[4],[8]] => {{1,3,5},{2,6,7},{4},{8}} => [3,3,1,1]
[[1,2,5],[3,6,7],[4],[8]] => {{1,2,5},{3,6,7},{4},{8}} => [3,3,1,1]
[[1,3,4],[2,6,7],[5],[8]] => {{1,3,4},{2,6,7},{5},{8}} => [3,3,1,1]
[[1,2,3],[4,6,7],[5],[8]] => {{1,2,3},{4,6,7},{5},{8}} => [3,3,1,1]
[[1,3,5],[2,4,7],[6],[8]] => {{1,3,5},{2,4,7},{6},{8}} => [3,3,1,1]
[[1,2,5],[3,4,7],[6],[8]] => {{1,2,5},{3,4,7},{6},{8}} => [3,3,1,1]
[[1,2,4],[3,5,7],[6],[8]] => {{1,2,4},{3,5,7},{6},{8}} => [3,3,1,1]
[[1,2,5],[3,4,6],[7],[8]] => {{1,2,5},{3,4,6},{7},{8}} => [3,3,1,1]
[[1,5,8],[2,6],[3,7],[4]] => {{1,5,8},{2,6},{3,7},{4}} => [3,2,2,1]
[[1,4,8],[2,6],[3,7],[5]] => {{1,4,8},{2,6},{3,7},{5}} => [3,2,2,1]
[[1,3,8],[2,6],[4,7],[5]] => {{1,3,8},{2,6},{4,7},{5}} => [3,2,2,1]
[[1,2,8],[3,6],[4,7],[5]] => {{1,2,8},{3,6},{4,7},{5}} => [3,2,2,1]
[[1,4,8],[2,5],[3,7],[6]] => {{1,4,8},{2,5},{3,7},{6}} => [3,2,2,1]
[[1,3,8],[2,5],[4,7],[6]] => {{1,3,8},{2,5},{4,7},{6}} => [3,2,2,1]
[[1,2,8],[3,5],[4,7],[6]] => {{1,2,8},{3,5},{4,7},{6}} => [3,2,2,1]
[[1,3,8],[2,4],[5,7],[6]] => {{1,3,8},{2,4},{5,7},{6}} => [3,2,2,1]
[[1,2,8],[3,4],[5,7],[6]] => {{1,2,8},{3,4},{5,7},{6}} => [3,2,2,1]
[[1,4,8],[2,5],[3,6],[7]] => {{1,4,8},{2,5},{3,6},{7}} => [3,2,2,1]
[[1,3,8],[2,5],[4,6],[7]] => {{1,3,8},{2,5},{4,6},{7}} => [3,2,2,1]
[[1,2,8],[3,5],[4,6],[7]] => {{1,2,8},{3,5},{4,6},{7}} => [3,2,2,1]
[[1,3,8],[2,4],[5,6],[7]] => {{1,3,8},{2,4},{5,6},{7}} => [3,2,2,1]
[[1,2,8],[3,4],[5,6],[7]] => {{1,2,8},{3,4},{5,6},{7}} => [3,2,2,1]
[[1,5,7],[2,6],[3,8],[4]] => {{1,5,7},{2,6},{3,8},{4}} => [3,2,2,1]
[[1,4,7],[2,6],[3,8],[5]] => {{1,4,7},{2,6},{3,8},{5}} => [3,2,2,1]
[[1,3,7],[2,6],[4,8],[5]] => {{1,3,7},{2,6},{4,8},{5}} => [3,2,2,1]
[[1,2,7],[3,6],[4,8],[5]] => {{1,2,7},{3,6},{4,8},{5}} => [3,2,2,1]
[[1,4,7],[2,5],[3,8],[6]] => {{1,4,7},{2,5},{3,8},{6}} => [3,2,2,1]
[[1,3,7],[2,5],[4,8],[6]] => {{1,3,7},{2,5},{4,8},{6}} => [3,2,2,1]
[[1,2,7],[3,5],[4,8],[6]] => {{1,2,7},{3,5},{4,8},{6}} => [3,2,2,1]
[[1,3,7],[2,4],[5,8],[6]] => {{1,3,7},{2,4},{5,8},{6}} => [3,2,2,1]
[[1,2,7],[3,4],[5,8],[6]] => {{1,2,7},{3,4},{5,8},{6}} => [3,2,2,1]
[[1,5,6],[2,7],[3,8],[4]] => {{1,5,6},{2,7},{3,8},{4}} => [3,2,2,1]
[[1,4,6],[2,7],[3,8],[5]] => {{1,4,6},{2,7},{3,8},{5}} => [3,2,2,1]
[[1,3,6],[2,7],[4,8],[5]] => {{1,3,6},{2,7},{4,8},{5}} => [3,2,2,1]
[[1,2,6],[3,7],[4,8],[5]] => {{1,2,6},{3,7},{4,8},{5}} => [3,2,2,1]
[[1,4,5],[2,7],[3,8],[6]] => {{1,4,5},{2,7},{3,8},{6}} => [3,2,2,1]
[[1,3,5],[2,7],[4,8],[6]] => {{1,3,5},{2,7},{4,8},{6}} => [3,2,2,1]
[[1,2,5],[3,7],[4,8],[6]] => {{1,2,5},{3,7},{4,8},{6}} => [3,2,2,1]
[[1,3,4],[2,7],[5,8],[6]] => {{1,3,4},{2,7},{5,8},{6}} => [3,2,2,1]
[[1,2,4],[3,7],[5,8],[6]] => {{1,2,4},{3,7},{5,8},{6}} => [3,2,2,1]
[[1,4,6],[2,5],[3,8],[7]] => {{1,4,6},{2,5},{3,8},{7}} => [3,2,2,1]
[[1,3,6],[2,5],[4,8],[7]] => {{1,3,6},{2,5},{4,8},{7}} => [3,2,2,1]
[[1,2,6],[3,5],[4,8],[7]] => {{1,2,6},{3,5},{4,8},{7}} => [3,2,2,1]
[[1,3,6],[2,4],[5,8],[7]] => {{1,3,6},{2,4},{5,8},{7}} => [3,2,2,1]
[[1,2,6],[3,4],[5,8],[7]] => {{1,2,6},{3,4},{5,8},{7}} => [3,2,2,1]
[[1,4,5],[2,6],[3,8],[7]] => {{1,4,5},{2,6},{3,8},{7}} => [3,2,2,1]
[[1,3,5],[2,6],[4,8],[7]] => {{1,3,5},{2,6},{4,8},{7}} => [3,2,2,1]
[[1,2,5],[3,6],[4,8],[7]] => {{1,2,5},{3,6},{4,8},{7}} => [3,2,2,1]
[[1,3,4],[2,6],[5,8],[7]] => {{1,3,4},{2,6},{5,8},{7}} => [3,2,2,1]
[[1,2,4],[3,6],[5,8],[7]] => {{1,2,4},{3,6},{5,8},{7}} => [3,2,2,1]
[[1,2,3],[4,6],[5,8],[7]] => {{1,2,3},{4,6},{5,8},{7}} => [3,2,2,1]
[[1,3,5],[2,4],[6,8],[7]] => {{1,3,5},{2,4},{6,8},{7}} => [3,2,2,1]
[[1,2,5],[3,4],[6,8],[7]] => {{1,2,5},{3,4},{6,8},{7}} => [3,2,2,1]
[[1,3,4],[2,5],[6,8],[7]] => {{1,3,4},{2,5},{6,8},{7}} => [3,2,2,1]
[[1,4,7],[2,5],[3,6],[8]] => {{1,4,7},{2,5},{3,6},{8}} => [3,2,2,1]
[[1,3,7],[2,5],[4,6],[8]] => {{1,3,7},{2,5},{4,6},{8}} => [3,2,2,1]
[[1,3,7],[2,4],[5,6],[8]] => {{1,3,7},{2,4},{5,6},{8}} => [3,2,2,1]
[[1,2,7],[3,4],[5,6],[8]] => {{1,2,7},{3,4},{5,6},{8}} => [3,2,2,1]
[[1,2,6],[3,4],[5,7],[8]] => {{1,2,6},{3,4},{5,7},{8}} => [3,2,2,1]
[[1,4,5],[2,6],[3,7],[8]] => {{1,4,5},{2,6},{3,7},{8}} => [3,2,2,1]
[[1,3,4],[2,6],[5,7],[8]] => {{1,3,4},{2,6},{5,7},{8}} => [3,2,2,1]
[[1,2,4],[3,6],[5,7],[8]] => {{1,2,4},{3,6},{5,7},{8}} => [3,2,2,1]
[[1,2,3],[4,6],[5,7],[8]] => {{1,2,3},{4,6},{5,7},{8}} => [3,2,2,1]
[[1,2,5],[3,4],[6,7],[8]] => {{1,2,5},{3,4},{6,7},{8}} => [3,2,2,1]
[[1,3,4],[2,5],[6,7],[8]] => {{1,3,4},{2,5},{6,7},{8}} => [3,2,2,1]
[[1,3,8],[2,4],[5],[6],[7]] => {{1,3,8},{2,4},{5},{6},{7}} => [3,2,1,1,1]
[[1,2,8],[3,4],[5],[6],[7]] => {{1,2,8},{3,4},{5},{6},{7}} => [3,2,1,1,1]
[[1,6,7],[2,8],[3],[4],[5]] => {{1,6,7},{2,8},{3},{4},{5}} => [3,2,1,1,1]
[[1,3,4],[2,8],[5],[6],[7]] => {{1,3,4},{2,8},{5},{6},{7}} => [3,2,1,1,1]
[[1,4,7],[2,6],[3],[5],[8]] => {{1,4,7},{2,6},{3},{5},{8}} => [3,2,1,1,1]
[[1,4,7],[2,5],[3],[6],[8]] => {{1,4,7},{2,5},{3},{6},{8}} => [3,2,1,1,1]
[[1,3,7],[2,4],[5],[6],[8]] => {{1,3,7},{2,4},{5},{6},{8}} => [3,2,1,1,1]
[[1,4,6],[2,7],[3],[5],[8]] => {{1,4,6},{2,7},{3},{5},{8}} => [3,2,1,1,1]
[[1,3,5],[2,4],[6],[7],[8]] => {{1,3,5},{2,4},{6},{7},{8}} => [3,2,1,1,1]
[[1,2,5],[3,4],[6],[7],[8]] => {{1,2,5},{3,4},{6},{7},{8}} => [3,2,1,1,1]
[[1,7,8],[2],[3],[4],[5],[6]] => {{1,7,8},{2},{3},{4},{5},{6}} => [3,1,1,1,1,1]
[[1,6,8],[2],[3],[4],[5],[7]] => {{1,6,8},{2},{3},{4},{5},{7}} => [3,1,1,1,1,1]
[[1,3,8],[2],[4],[5],[6],[7]] => {{1,3,8},{2},{4},{5},{6},{7}} => [3,1,1,1,1,1]
[[1,2,8],[3],[4],[5],[6],[7]] => {{1,2,8},{3},{4},{5},{6},{7}} => [3,1,1,1,1,1]
[[1,5,7],[2],[3],[4],[6],[8]] => {{1,5,7},{2},{3},{4},{6},{8}} => [3,1,1,1,1,1]
[[1,3,7],[2],[4],[5],[6],[8]] => {{1,3,7},{2},{4},{5},{6},{8}} => [3,1,1,1,1,1]
[[1,2,7],[3],[4],[5],[6],[8]] => {{1,2,7},{3},{4},{5},{6},{8}} => [3,1,1,1,1,1]
[[1,3,6],[2],[4],[5],[7],[8]] => {{1,3,6},{2},{4},{5},{7},{8}} => [3,1,1,1,1,1]
[[1,2,6],[3],[4],[5],[7],[8]] => {{1,2,6},{3},{4},{5},{7},{8}} => [3,1,1,1,1,1]
[[1,4,5],[2],[3],[6],[7],[8]] => {{1,4,5},{2},{3},{6},{7},{8}} => [3,1,1,1,1,1]
[[1,3,5],[2],[4],[6],[7],[8]] => {{1,3,5},{2},{4},{6},{7},{8}} => [3,1,1,1,1,1]
[[1,2,5],[3],[4],[6],[7],[8]] => {{1,2,5},{3},{4},{6},{7},{8}} => [3,1,1,1,1,1]
[[1,3,4],[2],[5],[6],[7],[8]] => {{1,3,4},{2},{5},{6},{7},{8}} => [3,1,1,1,1,1]
[[1,2,4],[3],[5],[6],[7],[8]] => {{1,2,4},{3},{5},{6},{7},{8}} => [3,1,1,1,1,1]
[[1,2,3],[4],[5],[6],[7],[8]] => {{1,2,3},{4},{5},{6},{7},{8}} => [3,1,1,1,1,1]
[[1,5],[2,6],[3,7],[4,8]] => {{1,5},{2,6},{3,7},{4,8}} => [2,2,2,2]
[[1,4],[2,6],[3,7],[5,8]] => {{1,4},{2,6},{3,7},{5,8}} => [2,2,2,2]
[[1,3],[2,6],[4,7],[5,8]] => {{1,3},{2,6},{4,7},{5,8}} => [2,2,2,2]
[[1,2],[3,6],[4,7],[5,8]] => {{1,2},{3,6},{4,7},{5,8}} => [2,2,2,2]
[[1,4],[2,5],[3,7],[6,8]] => {{1,4},{2,5},{3,7},{6,8}} => [2,2,2,2]
[[1,3],[2,5],[4,7],[6,8]] => {{1,3},{2,5},{4,7},{6,8}} => [2,2,2,2]
[[1,2],[3,5],[4,7],[6,8]] => {{1,2},{3,5},{4,7},{6,8}} => [2,2,2,2]
[[1,3],[2,4],[5,7],[6,8]] => {{1,3},{2,4},{5,7},{6,8}} => [2,2,2,2]
[[1,2],[3,4],[5,7],[6,8]] => {{1,2},{3,4},{5,7},{6,8}} => [2,2,2,2]
[[1,4],[2,5],[3,6],[7,8]] => {{1,4},{2,5},{3,6},{7,8}} => [2,2,2,2]
[[1,3],[2,5],[4,6],[7,8]] => {{1,3},{2,5},{4,6},{7,8}} => [2,2,2,2]
[[1,2],[3,5],[4,6],[7,8]] => {{1,2},{3,5},{4,6},{7,8}} => [2,2,2,2]
[[1,3],[2,4],[5,6],[7,8]] => {{1,3},{2,4},{5,6},{7,8}} => [2,2,2,2]
[[1,2],[3,4],[5,6],[7,8]] => {{1,2},{3,4},{5,6},{7,8}} => [2,2,2,2]
[[1,5],[2,6],[3,7],[4],[8]] => {{1,5},{2,6},{3,7},{4},{8}} => [2,2,2,1,1]
[[1,3],[2,6],[4,7],[5],[8]] => {{1,3},{2,6},{4,7},{5},{8}} => [2,2,2,1,1]
[[1,3],[2,5],[4,7],[6],[8]] => {{1,3},{2,5},{4,7},{6},{8}} => [2,2,2,1,1]
[[1,4],[2,5],[3,6],[7],[8]] => {{1,4},{2,5},{3,6},{7},{8}} => [2,2,2,1,1]
[[1,3],[2,5],[4,6],[7],[8]] => {{1,3},{2,5},{4,6},{7},{8}} => [2,2,2,1,1]
[[1,7],[2,8],[3],[4],[5],[6]] => {{1,7},{2,8},{3},{4},{5},{6}} => [2,2,1,1,1,1]
[[1,6],[2,8],[3],[4],[5],[7]] => {{1,6},{2,8},{3},{4},{5},{7}} => [2,2,1,1,1,1]
[[1,4],[2,8],[3],[5],[6],[7]] => {{1,4},{2,8},{3},{5},{6},{7}} => [2,2,1,1,1,1]
[[1,3],[2,8],[4],[5],[6],[7]] => {{1,3},{2,8},{4},{5},{6},{7}} => [2,2,1,1,1,1]
[[1,5],[2,6],[3],[4],[7],[8]] => {{1,5},{2,6},{3},{4},{7},{8}} => [2,2,1,1,1,1]
[[1,4],[2,5],[3],[6],[7],[8]] => {{1,4},{2,5},{3},{6},{7},{8}} => [2,2,1,1,1,1]
[[1,3],[2,4],[5],[6],[7],[8]] => {{1,3},{2,4},{5},{6},{7},{8}} => [2,2,1,1,1,1]
[[1,8],[2],[3],[4],[5],[6],[7]] => {{1,8},{2},{3},{4},{5},{6},{7}} => [2,1,1,1,1,1,1]
[[1,7],[2],[3],[4],[5],[6],[8]] => {{1,7},{2},{3},{4},{5},{6},{8}} => [2,1,1,1,1,1,1]
[[1,6],[2],[3],[4],[5],[7],[8]] => {{1,6},{2},{3},{4},{5},{7},{8}} => [2,1,1,1,1,1,1]
[[1,5],[2],[3],[4],[6],[7],[8]] => {{1,5},{2},{3},{4},{6},{7},{8}} => [2,1,1,1,1,1,1]
[[1,4],[2],[3],[5],[6],[7],[8]] => {{1,4},{2},{3},{5},{6},{7},{8}} => [2,1,1,1,1,1,1]
[[1,3],[2],[4],[5],[6],[7],[8]] => {{1,3},{2},{4},{5},{6},{7},{8}} => [2,1,1,1,1,1,1]
[[1,2],[3],[4],[5],[6],[7],[8]] => {{1,2},{3},{4},{5},{6},{7},{8}} => [2,1,1,1,1,1,1]
[[1],[2],[3],[4],[5],[6],[7],[8]] => {{1},{2},{3},{4},{5},{6},{7},{8}} => [1,1,1,1,1,1,1,1]
[[1,2,3,4,5],[6,7,8,9,10]] => {{1,2,3,4,5},{6,7,8,9,10}} => [5,5]
[[1,2,3,4,5,6,7,8,9]] => {{1,2,3,4,5,6,7,8,9}} => [9]
[[1,2,3,4,5,6,7,8],[9]] => {{1,2,3,4,5,6,7,8},{9}} => [8,1]
[[1,2,3,4,5,6,7],[8,9]] => {{1,2,3,4,5,6,7},{8,9}} => [7,2]
[[1,2,3,4,5,6,7],[8],[9]] => {{1,2,3,4,5,6,7},{8},{9}} => [7,1,1]
[[1,2,3,4,5,6],[7,8,9]] => {{1,2,3,4,5,6},{7,8,9}} => [6,3]
[[1,2,3,4,5,6],[7,8],[9]] => {{1,2,3,4,5,6},{7,8},{9}} => [6,2,1]
[[1,2,3,4,5,6],[7],[8],[9]] => {{1,2,3,4,5,6},{7},{8},{9}} => [6,1,1,1]
[[1,2,3,4,5],[6,7,8,9]] => {{1,2,3,4,5},{6,7,8,9}} => [5,4]
[[1,2,3,4,5],[6,7,8],[9]] => {{1,2,3,4,5},{6,7,8},{9}} => [5,3,1]
[[1,2,3,4,5],[6],[7],[8],[9]] => {{1,2,3,4,5},{6},{7},{8},{9}} => [5,1,1,1,1]
[[1,2,3,4],[5],[6],[7],[8],[9]] => {{1,2,3,4},{5},{6},{7},{8},{9}} => [4,1,1,1,1,1]
[[1,2,3],[4],[5],[6],[7],[8],[9]] => {{1,2,3},{4},{5},{6},{7},{8},{9}} => [3,1,1,1,1,1,1]
[[1,2],[3],[4],[5],[6],[7],[8],[9]] => {{1,2},{3},{4},{5},{6},{7},{8},{9}} => [2,1,1,1,1,1,1,1]
[[1],[2],[3],[4],[5],[6],[7],[8],[9]] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => [1,1,1,1,1,1,1,1,1]
[[1,2,3,4,5,6,7,8,9,10]] => {{1,2,3,4,5,6,7,8,9,10}} => [10]
[[1,2,3,4,5,6,7,8,9],[10]] => {{1,2,3,4,5,6,7,8,9},{10}} => [9,1]
[[1,2,3,4,5,6,7,8],[9,10]] => {{1,2,3,4,5,6,7,8},{9,10}} => [8,2]
[[1,2,3,4,5,6,7,8],[9],[10]] => {{1,2,3,4,5,6,7,8},{9},{10}} => [8,1,1]
[[1,2,3,4,5,6,7],[8,9,10]] => {{1,2,3,4,5,6,7},{8,9,10}} => [7,3]
[[1,2,3,4,5,6,7],[8,9],[10]] => {{1,2,3,4,5,6,7},{8,9},{10}} => [7,2,1]
[[1,2,3,4,5,6,7],[8],[9],[10]] => {{1,2,3,4,5,6,7},{8},{9},{10}} => [7,1,1,1]
[[1,2,3,4,5,6],[7,8,9,10]] => {{1,2,3,4,5,6},{7,8,9,10}} => [6,4]
[[1,2,3,4,5,6],[7],[8],[9],[10]] => {{1,2,3,4,5,6},{7},{8},{9},{10}} => [6,1,1,1,1]
[[1,2,3,4,5],[6],[7],[8],[9],[10]] => {{1,2,3,4,5},{6},{7},{8},{9},{10}} => [5,1,1,1,1,1]
[[1,2,3,4],[5],[6],[7],[8],[9],[10]] => {{1,2,3,4},{5},{6},{7},{8},{9},{10}} => [4,1,1,1,1,1,1]
[[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => {{1,2,3},{4},{5},{6},{7},{8},{9},{10}} => [3,1,1,1,1,1,1,1]
[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => {{1,2},{3},{4},{5},{6},{7},{8},{9},{10}} => [2,1,1,1,1,1,1,1,1]
[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => [1,1,1,1,1,1,1,1,1,1]
[[1,3,4,5,6,7,8,9],[2]] => {{1,3,4,5,6,7,8,9},{2}} => [8,1]
[[1,7,8,9],[2],[3],[4],[5],[6]] => {{1,7,8,9},{2},{3},{4},{5},{6}} => [4,1,1,1,1,1]
[[1,8,9],[2],[3],[4],[5],[6],[7]] => {{1,8,9},{2},{3},{4},{5},{6},{7}} => [3,1,1,1,1,1,1]
[[1,9],[2],[3],[4],[5],[6],[7],[8]] => {{1,9},{2},{3},{4},{5},{6},{7},{8}} => [2,1,1,1,1,1,1,1]
[[1,3,4,5,6,7,8,9,10],[2]] => {{1,3,4,5,6,7,8,9,10},{2}} => [9,1]
[[1,8,9,10],[2],[3],[4],[5],[6],[7]] => {{1,8,9,10},{2},{3},{4},{5},{6},{7}} => [4,1,1,1,1,1,1]
[[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => {{1,9,10},{2},{3},{4},{5},{6},{7},{8}} => [3,1,1,1,1,1,1,1]
[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => {{1,10},{2},{3},{4},{5},{6},{7},{8},{9}} => [2,1,1,1,1,1,1,1,1]
[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]] => {{1,4,9},{2,6,12},{3,8},{5,11},{7},{10}} => [3,3,2,2,1,1]
[[1,8],[2,9],[3],[4],[5],[6],[7]] => {{1,8},{2,9},{3},{4},{5},{6},{7}} => [2,2,1,1,1,1,1]
[[1,6],[2,7],[3,8],[4,9],[5,10]] => {{1,6},{2,7},{3,8},{4,9},{5,10}} => [2,2,2,2,2]
[[1,2,3,4,5,7],[6,8],[9]] => {{1,2,3,4,5,7},{6,8},{9}} => [6,2,1]
[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]] => {{1,7},{2,8},{3,9},{4,10},{5,11},{6,12}} => [2,2,2,2,2,2]
[[1,2,3,4,5,6,7,9],[8]] => {{1,2,3,4,5,6,7,9},{8}} => [8,1]
[[1,2,3,4,5,6,9],[7,8]] => {{1,2,3,4,5,6,9},{7,8}} => [7,2]
[[1,2,3,4,5,9],[6,7],[8]] => {{1,2,3,4,5,9},{6,7},{8}} => [6,2,1]
[[1,2,3,4,9],[5,6],[7],[8]] => {{1,2,3,4,9},{5,6},{7},{8}} => [5,2,1,1]
[[1,2,3,9],[4,5],[6],[7],[8]] => {{1,2,3,9},{4,5},{6},{7},{8}} => [4,2,1,1,1]
[[1,2,3,9],[4],[5],[6],[7],[8]] => {{1,2,3,9},{4},{5},{6},{7},{8}} => [4,1,1,1,1,1]
[[1,2,9],[3],[4],[5],[6],[7],[8]] => {{1,2,9},{3},{4},{5},{6},{7},{8}} => [3,1,1,1,1,1,1]
[[1,3],[2,9],[4],[5],[6],[7],[8]] => {{1,3},{2,9},{4},{5},{6},{7},{8}} => [2,2,1,1,1,1,1]
[[1,2,3,4,5,6,7,8,10],[9]] => {{1,2,3,4,5,6,7,8,10},{9}} => [9,1]
[[1,2,3,4,5,6,7,10],[8,9]] => {{1,2,3,4,5,6,7,10},{8,9}} => [8,2]
[[1,2,3,4,5,6,10],[7,8],[9]] => {{1,2,3,4,5,6,10},{7,8},{9}} => [7,2,1]
[[1,2,3,4,10],[5,6],[7],[8],[9]] => {{1,2,3,4,10},{5,6},{7},{8},{9}} => [5,2,1,1,1]
[[1,2,3,10],[4,5],[6],[7],[8],[9]] => {{1,2,3,10},{4,5},{6},{7},{8},{9}} => [4,2,1,1,1,1]
[[1,2,3,10],[4],[5],[6],[7],[8],[9]] => {{1,2,3,10},{4},{5},{6},{7},{8},{9}} => [4,1,1,1,1,1,1]
[[1,2,4,5,6,7,8,9],[3]] => {{1,2,4,5,6,7,8,9},{3}} => [8,1]
[[1,6,8,9],[2],[3],[4],[5],[7]] => {{1,6,8,9},{2},{3},{4},{5},{7}} => [4,1,1,1,1,1]
[[1,8],[2],[3],[4],[5],[6],[7],[9]] => {{1,8},{2},{3},{4},{5},{6},{7},{9}} => [2,1,1,1,1,1,1,1]
[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => {{1,9},{2},{3},{4},{5},{6},{7},{8},{10}} => [2,1,1,1,1,1,1,1,1]
[[1,3,4,5,6,7,8],[2],[9]] => {{1,3,4,5,6,7,8},{2},{9}} => [7,1,1]
[[1,3,4,5,6,7],[2,9],[8]] => {{1,3,4,5,6,7},{2,9},{8}} => [6,2,1]
[[1,3,4,5,6],[2,8,9],[7]] => {{1,3,4,5,6},{2,8,9},{7}} => [5,3,1]
[[1,3,4],[2],[5],[6],[7],[8],[9]] => {{1,3,4},{2},{5},{6},{7},{8},{9}} => [3,1,1,1,1,1,1]
[[1,3],[2],[4],[5],[6],[7],[8],[9]] => {{1,3},{2},{4},{5},{6},{7},{8},{9}} => [2,1,1,1,1,1,1,1]
[[1,3,4,5,6,7,8,9],[2],[10]] => {{1,3,4,5,6,7,8,9},{2},{10}} => [8,1,1]
[[1,3,4,5,6,7,8],[2,10],[9]] => {{1,3,4,5,6,7,8},{2,10},{9}} => [7,2,1]
[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]] => {{1,3},{2},{4},{5},{6},{7},{8},{9},{10}} => [2,1,1,1,1,1,1,1,1]
[[1,2,3,4,5,6,7,9,10],[8]] => {{1,2,3,4,5,6,7,9,10},{8}} => [9,1]
[[1,2,5,10],[3,7],[4,9],[6],[8]] => {{1,2,5,10},{3,7},{4,9},{6},{8}} => [4,2,2,1,1]
Map
rows
Description
The set partition whose blocks are the rows of the tableau.
Map
shape
Description
Sends a set partition to the integer partition obtained by the sizes of the blocks.