Identifier
Mp00106:
Standard tableaux
—catabolism⟶
Standard tableaux
Mp00153: Standard tableaux —inverse promotion⟶ Standard tableaux
Mp00284: Standard tableaux —rows⟶ Set partitions
Mp00153: Standard tableaux —inverse promotion⟶ Standard tableaux
Mp00284: Standard tableaux —rows⟶ Set partitions
Images
[[1]] => [[1]] => [[1]] => {{1}}
[[1,2]] => [[1,2]] => [[1,2]] => {{1,2}}
[[1],[2]] => [[1,2]] => [[1,2]] => {{1,2}}
[[1,2,3]] => [[1,2,3]] => [[1,2,3]] => {{1,2,3}}
[[1,3],[2]] => [[1,2],[3]] => [[1,3],[2]] => {{1,3},{2}}
[[1,2],[3]] => [[1,2,3]] => [[1,2,3]] => {{1,2,3}}
[[1],[2],[3]] => [[1,2],[3]] => [[1,3],[2]] => {{1,3},{2}}
[[1,2,3,4]] => [[1,2,3,4]] => [[1,2,3,4]] => {{1,2,3,4}}
[[1,3,4],[2]] => [[1,2,4],[3]] => [[1,3,4],[2]] => {{1,3,4},{2}}
[[1,2,4],[3]] => [[1,2,3],[4]] => [[1,2,4],[3]] => {{1,2,4},{3}}
[[1,2,3],[4]] => [[1,2,3,4]] => [[1,2,3,4]] => {{1,2,3,4}}
[[1,3],[2,4]] => [[1,2,4],[3]] => [[1,3,4],[2]] => {{1,3,4},{2}}
[[1,2],[3,4]] => [[1,2,3,4]] => [[1,2,3,4]] => {{1,2,3,4}}
[[1,4],[2],[3]] => [[1,2],[3],[4]] => [[1,4],[2],[3]] => {{1,4},{2},{3}}
[[1,3],[2],[4]] => [[1,2,4],[3]] => [[1,3,4],[2]] => {{1,3,4},{2}}
[[1,2],[3],[4]] => [[1,2,3],[4]] => [[1,2,4],[3]] => {{1,2,4},{3}}
[[1],[2],[3],[4]] => [[1,2],[3],[4]] => [[1,4],[2],[3]] => {{1,4},{2},{3}}
[[1,2,3,4,5]] => [[1,2,3,4,5]] => [[1,2,3,4,5]] => {{1,2,3,4,5}}
[[1,3,4,5],[2]] => [[1,2,4,5],[3]] => [[1,3,4,5],[2]] => {{1,3,4,5},{2}}
[[1,2,4,5],[3]] => [[1,2,3,5],[4]] => [[1,2,4,5],[3]] => {{1,2,4,5},{3}}
[[1,2,3,5],[4]] => [[1,2,3,4],[5]] => [[1,2,3,5],[4]] => {{1,2,3,5},{4}}
[[1,2,3,4],[5]] => [[1,2,3,4,5]] => [[1,2,3,4,5]] => {{1,2,3,4,5}}
[[1,3,5],[2,4]] => [[1,2,4],[3,5]] => [[1,3,5],[2,4]] => {{1,3,5},{2,4}}
[[1,2,5],[3,4]] => [[1,2,3,4],[5]] => [[1,2,3,5],[4]] => {{1,2,3,5},{4}}
[[1,3,4],[2,5]] => [[1,2,4,5],[3]] => [[1,3,4,5],[2]] => {{1,3,4,5},{2}}
[[1,2,4],[3,5]] => [[1,2,3,5],[4]] => [[1,2,4,5],[3]] => {{1,2,4,5},{3}}
[[1,2,3],[4,5]] => [[1,2,3,4,5]] => [[1,2,3,4,5]] => {{1,2,3,4,5}}
[[1,4,5],[2],[3]] => [[1,2,5],[3],[4]] => [[1,4,5],[2],[3]] => {{1,4,5},{2},{3}}
[[1,3,5],[2],[4]] => [[1,2,4],[3],[5]] => [[1,3,5],[2],[4]] => {{1,3,5},{2},{4}}
[[1,2,5],[3],[4]] => [[1,2,3],[4],[5]] => [[1,2,5],[3],[4]] => {{1,2,5},{3},{4}}
[[1,3,4],[2],[5]] => [[1,2,4,5],[3]] => [[1,3,4,5],[2]] => {{1,3,4,5},{2}}
[[1,2,4],[3],[5]] => [[1,2,3,5],[4]] => [[1,2,4,5],[3]] => {{1,2,4,5},{3}}
[[1,2,3],[4],[5]] => [[1,2,3,4],[5]] => [[1,2,3,5],[4]] => {{1,2,3,5},{4}}
[[1,4],[2,5],[3]] => [[1,2,5],[3],[4]] => [[1,4,5],[2],[3]] => {{1,4,5},{2},{3}}
[[1,3],[2,5],[4]] => [[1,2,4,5],[3]] => [[1,3,4,5],[2]] => {{1,3,4,5},{2}}
[[1,2],[3,5],[4]] => [[1,2,3,5],[4]] => [[1,2,4,5],[3]] => {{1,2,4,5},{3}}
[[1,3],[2,4],[5]] => [[1,2,4],[3,5]] => [[1,3,5],[2,4]] => {{1,3,5},{2,4}}
[[1,2],[3,4],[5]] => [[1,2,3,4],[5]] => [[1,2,3,5],[4]] => {{1,2,3,5},{4}}
[[1,5],[2],[3],[4]] => [[1,2],[3],[4],[5]] => [[1,5],[2],[3],[4]] => {{1,5},{2},{3},{4}}
[[1,4],[2],[3],[5]] => [[1,2,5],[3],[4]] => [[1,4,5],[2],[3]] => {{1,4,5},{2},{3}}
[[1,3],[2],[4],[5]] => [[1,2,4],[3],[5]] => [[1,3,5],[2],[4]] => {{1,3,5},{2},{4}}
[[1,2],[3],[4],[5]] => [[1,2,3],[4],[5]] => [[1,2,5],[3],[4]] => {{1,2,5},{3},{4}}
[[1],[2],[3],[4],[5]] => [[1,2],[3],[4],[5]] => [[1,5],[2],[3],[4]] => {{1,5},{2},{3},{4}}
[[1,2,3,4,5,6]] => [[1,2,3,4,5,6]] => [[1,2,3,4,5,6]] => {{1,2,3,4,5,6}}
[[1,3,4,5,6],[2]] => [[1,2,4,5,6],[3]] => [[1,3,4,5,6],[2]] => {{1,3,4,5,6},{2}}
[[1,2,4,5,6],[3]] => [[1,2,3,5,6],[4]] => [[1,2,4,5,6],[3]] => {{1,2,4,5,6},{3}}
[[1,2,3,5,6],[4]] => [[1,2,3,4,6],[5]] => [[1,2,3,5,6],[4]] => {{1,2,3,5,6},{4}}
[[1,2,3,4,6],[5]] => [[1,2,3,4,5],[6]] => [[1,2,3,4,6],[5]] => {{1,2,3,4,6},{5}}
[[1,2,3,4,5],[6]] => [[1,2,3,4,5,6]] => [[1,2,3,4,5,6]] => {{1,2,3,4,5,6}}
[[1,3,5,6],[2,4]] => [[1,2,4,6],[3,5]] => [[1,3,5,6],[2,4]] => {{1,3,5,6},{2,4}}
[[1,2,5,6],[3,4]] => [[1,2,3,4],[5,6]] => [[1,2,3,6],[4,5]] => {{1,2,3,6},{4,5}}
[[1,3,4,6],[2,5]] => [[1,2,4,5],[3,6]] => [[1,3,4,6],[2,5]] => {{1,3,4,6},{2,5}}
[[1,2,4,6],[3,5]] => [[1,2,3,5],[4,6]] => [[1,2,4,6],[3,5]] => {{1,2,4,6},{3,5}}
[[1,2,3,6],[4,5]] => [[1,2,3,4,5],[6]] => [[1,2,3,4,6],[5]] => {{1,2,3,4,6},{5}}
[[1,3,4,5],[2,6]] => [[1,2,4,5,6],[3]] => [[1,3,4,5,6],[2]] => {{1,3,4,5,6},{2}}
[[1,2,4,5],[3,6]] => [[1,2,3,5,6],[4]] => [[1,2,4,5,6],[3]] => {{1,2,4,5,6},{3}}
[[1,2,3,5],[4,6]] => [[1,2,3,4,6],[5]] => [[1,2,3,5,6],[4]] => {{1,2,3,5,6},{4}}
[[1,2,3,4],[5,6]] => [[1,2,3,4,5,6]] => [[1,2,3,4,5,6]] => {{1,2,3,4,5,6}}
[[1,4,5,6],[2],[3]] => [[1,2,5,6],[3],[4]] => [[1,4,5,6],[2],[3]] => {{1,4,5,6},{2},{3}}
[[1,3,5,6],[2],[4]] => [[1,2,4,6],[3],[5]] => [[1,3,5,6],[2],[4]] => {{1,3,5,6},{2},{4}}
[[1,2,5,6],[3],[4]] => [[1,2,3,6],[4],[5]] => [[1,2,5,6],[3],[4]] => {{1,2,5,6},{3},{4}}
[[1,3,4,6],[2],[5]] => [[1,2,4,5],[3],[6]] => [[1,3,4,6],[2],[5]] => {{1,3,4,6},{2},{5}}
[[1,2,4,6],[3],[5]] => [[1,2,3,5],[4],[6]] => [[1,2,4,6],[3],[5]] => {{1,2,4,6},{3},{5}}
[[1,2,3,6],[4],[5]] => [[1,2,3,4],[5],[6]] => [[1,2,3,6],[4],[5]] => {{1,2,3,6},{4},{5}}
[[1,3,4,5],[2],[6]] => [[1,2,4,5,6],[3]] => [[1,3,4,5,6],[2]] => {{1,3,4,5,6},{2}}
[[1,2,4,5],[3],[6]] => [[1,2,3,5,6],[4]] => [[1,2,4,5,6],[3]] => {{1,2,4,5,6},{3}}
[[1,2,3,5],[4],[6]] => [[1,2,3,4,6],[5]] => [[1,2,3,5,6],[4]] => {{1,2,3,5,6},{4}}
[[1,2,3,4],[5],[6]] => [[1,2,3,4,5],[6]] => [[1,2,3,4,6],[5]] => {{1,2,3,4,6},{5}}
[[1,3,5],[2,4,6]] => [[1,2,4,6],[3,5]] => [[1,3,5,6],[2,4]] => {{1,3,5,6},{2,4}}
[[1,2,5],[3,4,6]] => [[1,2,3,4,6],[5]] => [[1,2,3,5,6],[4]] => {{1,2,3,5,6},{4}}
[[1,3,4],[2,5,6]] => [[1,2,4,5,6],[3]] => [[1,3,4,5,6],[2]] => {{1,3,4,5,6},{2}}
[[1,2,4],[3,5,6]] => [[1,2,3,5,6],[4]] => [[1,2,4,5,6],[3]] => {{1,2,4,5,6},{3}}
[[1,2,3],[4,5,6]] => [[1,2,3,4,5,6]] => [[1,2,3,4,5,6]] => {{1,2,3,4,5,6}}
[[1,4,6],[2,5],[3]] => [[1,2,5],[3,6],[4]] => [[1,4,6],[2,5],[3]] => {{1,4,6},{2,5},{3}}
[[1,3,6],[2,5],[4]] => [[1,2,4,5],[3],[6]] => [[1,3,4,6],[2],[5]] => {{1,3,4,6},{2},{5}}
[[1,2,6],[3,5],[4]] => [[1,2,3,5],[4],[6]] => [[1,2,4,6],[3],[5]] => {{1,2,4,6},{3},{5}}
[[1,3,6],[2,4],[5]] => [[1,2,4],[3,5],[6]] => [[1,3,6],[2,4],[5]] => {{1,3,6},{2,4},{5}}
[[1,2,6],[3,4],[5]] => [[1,2,3,4],[5],[6]] => [[1,2,3,6],[4],[5]] => {{1,2,3,6},{4},{5}}
[[1,4,5],[2,6],[3]] => [[1,2,5,6],[3],[4]] => [[1,4,5,6],[2],[3]] => {{1,4,5,6},{2},{3}}
[[1,3,5],[2,6],[4]] => [[1,2,4,6],[3],[5]] => [[1,3,5,6],[2],[4]] => {{1,3,5,6},{2},{4}}
[[1,2,5],[3,6],[4]] => [[1,2,3,6],[4],[5]] => [[1,2,5,6],[3],[4]] => {{1,2,5,6},{3},{4}}
[[1,3,4],[2,6],[5]] => [[1,2,4,5,6],[3]] => [[1,3,4,5,6],[2]] => {{1,3,4,5,6},{2}}
[[1,2,4],[3,6],[5]] => [[1,2,3,5,6],[4]] => [[1,2,4,5,6],[3]] => {{1,2,4,5,6},{3}}
[[1,2,3],[4,6],[5]] => [[1,2,3,4,6],[5]] => [[1,2,3,5,6],[4]] => {{1,2,3,5,6},{4}}
[[1,3,5],[2,4],[6]] => [[1,2,4,6],[3,5]] => [[1,3,5,6],[2,4]] => {{1,3,5,6},{2,4}}
[[1,2,5],[3,4],[6]] => [[1,2,3,4],[5,6]] => [[1,2,3,6],[4,5]] => {{1,2,3,6},{4,5}}
[[1,3,4],[2,5],[6]] => [[1,2,4,5],[3,6]] => [[1,3,4,6],[2,5]] => {{1,3,4,6},{2,5}}
[[1,2,4],[3,5],[6]] => [[1,2,3,5],[4,6]] => [[1,2,4,6],[3,5]] => {{1,2,4,6},{3,5}}
[[1,2,3],[4,5],[6]] => [[1,2,3,4,5],[6]] => [[1,2,3,4,6],[5]] => {{1,2,3,4,6},{5}}
[[1,5,6],[2],[3],[4]] => [[1,2,6],[3],[4],[5]] => [[1,5,6],[2],[3],[4]] => {{1,5,6},{2},{3},{4}}
[[1,4,6],[2],[3],[5]] => [[1,2,5],[3],[4],[6]] => [[1,4,6],[2],[3],[5]] => {{1,4,6},{2},{3},{5}}
[[1,3,6],[2],[4],[5]] => [[1,2,4],[3],[5],[6]] => [[1,3,6],[2],[4],[5]] => {{1,3,6},{2},{4},{5}}
[[1,2,6],[3],[4],[5]] => [[1,2,3],[4],[5],[6]] => [[1,2,6],[3],[4],[5]] => {{1,2,6},{3},{4},{5}}
[[1,4,5],[2],[3],[6]] => [[1,2,5,6],[3],[4]] => [[1,4,5,6],[2],[3]] => {{1,4,5,6},{2},{3}}
[[1,3,5],[2],[4],[6]] => [[1,2,4,6],[3],[5]] => [[1,3,5,6],[2],[4]] => {{1,3,5,6},{2},{4}}
[[1,2,5],[3],[4],[6]] => [[1,2,3,6],[4],[5]] => [[1,2,5,6],[3],[4]] => {{1,2,5,6},{3},{4}}
[[1,3,4],[2],[5],[6]] => [[1,2,4,5],[3],[6]] => [[1,3,4,6],[2],[5]] => {{1,3,4,6},{2},{5}}
[[1,2,4],[3],[5],[6]] => [[1,2,3,5],[4],[6]] => [[1,2,4,6],[3],[5]] => {{1,2,4,6},{3},{5}}
[[1,2,3],[4],[5],[6]] => [[1,2,3,4],[5],[6]] => [[1,2,3,6],[4],[5]] => {{1,2,3,6},{4},{5}}
[[1,4],[2,5],[3,6]] => [[1,2,5],[3,6],[4]] => [[1,4,6],[2,5],[3]] => {{1,4,6},{2,5},{3}}
[[1,3],[2,5],[4,6]] => [[1,2,4,5],[3,6]] => [[1,3,4,6],[2,5]] => {{1,3,4,6},{2,5}}
>>> Load all 1663 entries. <<<
[[1,2],[3,5],[4,6]] => [[1,2,3,5],[4,6]] => [[1,2,4,6],[3,5]] => {{1,2,4,6},{3,5}}
[[1,3],[2,4],[5,6]] => [[1,2,4,6],[3,5]] => [[1,3,5,6],[2,4]] => {{1,3,5,6},{2,4}}
[[1,2],[3,4],[5,6]] => [[1,2,3,4],[5,6]] => [[1,2,3,6],[4,5]] => {{1,2,3,6},{4,5}}
[[1,5],[2,6],[3],[4]] => [[1,2,6],[3],[4],[5]] => [[1,5,6],[2],[3],[4]] => {{1,5,6},{2},{3},{4}}
[[1,4],[2,6],[3],[5]] => [[1,2,5,6],[3],[4]] => [[1,4,5,6],[2],[3]] => {{1,4,5,6},{2},{3}}
[[1,3],[2,6],[4],[5]] => [[1,2,4,6],[3],[5]] => [[1,3,5,6],[2],[4]] => {{1,3,5,6},{2},{4}}
[[1,2],[3,6],[4],[5]] => [[1,2,3,6],[4],[5]] => [[1,2,5,6],[3],[4]] => {{1,2,5,6},{3},{4}}
[[1,4],[2,5],[3],[6]] => [[1,2,5],[3,6],[4]] => [[1,4,6],[2,5],[3]] => {{1,4,6},{2,5},{3}}
[[1,3],[2,5],[4],[6]] => [[1,2,4,5],[3],[6]] => [[1,3,4,6],[2],[5]] => {{1,3,4,6},{2},{5}}
[[1,2],[3,5],[4],[6]] => [[1,2,3,5],[4],[6]] => [[1,2,4,6],[3],[5]] => {{1,2,4,6},{3},{5}}
[[1,3],[2,4],[5],[6]] => [[1,2,4],[3,5],[6]] => [[1,3,6],[2,4],[5]] => {{1,3,6},{2,4},{5}}
[[1,2],[3,4],[5],[6]] => [[1,2,3,4],[5],[6]] => [[1,2,3,6],[4],[5]] => {{1,2,3,6},{4},{5}}
[[1,6],[2],[3],[4],[5]] => [[1,2],[3],[4],[5],[6]] => [[1,6],[2],[3],[4],[5]] => {{1,6},{2},{3},{4},{5}}
[[1,5],[2],[3],[4],[6]] => [[1,2,6],[3],[4],[5]] => [[1,5,6],[2],[3],[4]] => {{1,5,6},{2},{3},{4}}
[[1,4],[2],[3],[5],[6]] => [[1,2,5],[3],[4],[6]] => [[1,4,6],[2],[3],[5]] => {{1,4,6},{2},{3},{5}}
[[1,3],[2],[4],[5],[6]] => [[1,2,4],[3],[5],[6]] => [[1,3,6],[2],[4],[5]] => {{1,3,6},{2},{4},{5}}
[[1,2],[3],[4],[5],[6]] => [[1,2,3],[4],[5],[6]] => [[1,2,6],[3],[4],[5]] => {{1,2,6},{3},{4},{5}}
[[1],[2],[3],[4],[5],[6]] => [[1,2],[3],[4],[5],[6]] => [[1,6],[2],[3],[4],[5]] => {{1,6},{2},{3},{4},{5}}
[[1,2,3,4,5,6,7]] => [[1,2,3,4,5,6,7]] => [[1,2,3,4,5,6,7]] => {{1,2,3,4,5,6,7}}
[[1,3,4,5,6,7],[2]] => [[1,2,4,5,6,7],[3]] => [[1,3,4,5,6,7],[2]] => {{1,3,4,5,6,7},{2}}
[[1,2,4,5,6,7],[3]] => [[1,2,3,5,6,7],[4]] => [[1,2,4,5,6,7],[3]] => {{1,2,4,5,6,7},{3}}
[[1,2,3,5,6,7],[4]] => [[1,2,3,4,6,7],[5]] => [[1,2,3,5,6,7],[4]] => {{1,2,3,5,6,7},{4}}
[[1,2,3,4,6,7],[5]] => [[1,2,3,4,5,7],[6]] => [[1,2,3,4,6,7],[5]] => {{1,2,3,4,6,7},{5}}
[[1,2,3,4,5,7],[6]] => [[1,2,3,4,5,6],[7]] => [[1,2,3,4,5,7],[6]] => {{1,2,3,4,5,7},{6}}
[[1,2,3,4,5,6],[7]] => [[1,2,3,4,5,6,7]] => [[1,2,3,4,5,6,7]] => {{1,2,3,4,5,6,7}}
[[1,3,5,6,7],[2,4]] => [[1,2,4,6,7],[3,5]] => [[1,3,5,6,7],[2,4]] => {{1,3,5,6,7},{2,4}}
[[1,2,5,6,7],[3,4]] => [[1,2,3,4,7],[5,6]] => [[1,2,3,6,7],[4,5]] => {{1,2,3,6,7},{4,5}}
[[1,3,4,6,7],[2,5]] => [[1,2,4,5,7],[3,6]] => [[1,3,4,6,7],[2,5]] => {{1,3,4,6,7},{2,5}}
[[1,2,4,6,7],[3,5]] => [[1,2,3,5,7],[4,6]] => [[1,2,4,6,7],[3,5]] => {{1,2,4,6,7},{3,5}}
[[1,2,3,6,7],[4,5]] => [[1,2,3,4,5],[6,7]] => [[1,2,3,4,7],[5,6]] => {{1,2,3,4,7},{5,6}}
[[1,3,4,5,7],[2,6]] => [[1,2,4,5,6],[3,7]] => [[1,3,4,5,7],[2,6]] => {{1,3,4,5,7},{2,6}}
[[1,2,4,5,7],[3,6]] => [[1,2,3,5,6],[4,7]] => [[1,2,4,5,7],[3,6]] => {{1,2,4,5,7},{3,6}}
[[1,2,3,5,7],[4,6]] => [[1,2,3,4,6],[5,7]] => [[1,2,3,5,7],[4,6]] => {{1,2,3,5,7},{4,6}}
[[1,2,3,4,7],[5,6]] => [[1,2,3,4,5,6],[7]] => [[1,2,3,4,5,7],[6]] => {{1,2,3,4,5,7},{6}}
[[1,3,4,5,6],[2,7]] => [[1,2,4,5,6,7],[3]] => [[1,3,4,5,6,7],[2]] => {{1,3,4,5,6,7},{2}}
[[1,2,4,5,6],[3,7]] => [[1,2,3,5,6,7],[4]] => [[1,2,4,5,6,7],[3]] => {{1,2,4,5,6,7},{3}}
[[1,2,3,5,6],[4,7]] => [[1,2,3,4,6,7],[5]] => [[1,2,3,5,6,7],[4]] => {{1,2,3,5,6,7},{4}}
[[1,2,3,4,6],[5,7]] => [[1,2,3,4,5,7],[6]] => [[1,2,3,4,6,7],[5]] => {{1,2,3,4,6,7},{5}}
[[1,2,3,4,5],[6,7]] => [[1,2,3,4,5,6,7]] => [[1,2,3,4,5,6,7]] => {{1,2,3,4,5,6,7}}
[[1,4,5,6,7],[2],[3]] => [[1,2,5,6,7],[3],[4]] => [[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}}
[[1,3,5,6,7],[2],[4]] => [[1,2,4,6,7],[3],[5]] => [[1,3,5,6,7],[2],[4]] => {{1,3,5,6,7},{2},{4}}
[[1,2,5,6,7],[3],[4]] => [[1,2,3,6,7],[4],[5]] => [[1,2,5,6,7],[3],[4]] => {{1,2,5,6,7},{3},{4}}
[[1,3,4,6,7],[2],[5]] => [[1,2,4,5,7],[3],[6]] => [[1,3,4,6,7],[2],[5]] => {{1,3,4,6,7},{2},{5}}
[[1,2,4,6,7],[3],[5]] => [[1,2,3,5,7],[4],[6]] => [[1,2,4,6,7],[3],[5]] => {{1,2,4,6,7},{3},{5}}
[[1,2,3,6,7],[4],[5]] => [[1,2,3,4,7],[5],[6]] => [[1,2,3,6,7],[4],[5]] => {{1,2,3,6,7},{4},{5}}
[[1,3,4,5,7],[2],[6]] => [[1,2,4,5,6],[3],[7]] => [[1,3,4,5,7],[2],[6]] => {{1,3,4,5,7},{2},{6}}
[[1,2,4,5,7],[3],[6]] => [[1,2,3,5,6],[4],[7]] => [[1,2,4,5,7],[3],[6]] => {{1,2,4,5,7},{3},{6}}
[[1,2,3,5,7],[4],[6]] => [[1,2,3,4,6],[5],[7]] => [[1,2,3,5,7],[4],[6]] => {{1,2,3,5,7},{4},{6}}
[[1,2,3,4,7],[5],[6]] => [[1,2,3,4,5],[6],[7]] => [[1,2,3,4,7],[5],[6]] => {{1,2,3,4,7},{5},{6}}
[[1,3,4,5,6],[2],[7]] => [[1,2,4,5,6,7],[3]] => [[1,3,4,5,6,7],[2]] => {{1,3,4,5,6,7},{2}}
[[1,2,4,5,6],[3],[7]] => [[1,2,3,5,6,7],[4]] => [[1,2,4,5,6,7],[3]] => {{1,2,4,5,6,7},{3}}
[[1,2,3,5,6],[4],[7]] => [[1,2,3,4,6,7],[5]] => [[1,2,3,5,6,7],[4]] => {{1,2,3,5,6,7},{4}}
[[1,2,3,4,6],[5],[7]] => [[1,2,3,4,5,7],[6]] => [[1,2,3,4,6,7],[5]] => {{1,2,3,4,6,7},{5}}
[[1,2,3,4,5],[6],[7]] => [[1,2,3,4,5,6],[7]] => [[1,2,3,4,5,7],[6]] => {{1,2,3,4,5,7},{6}}
[[1,3,5,7],[2,4,6]] => [[1,2,4,6],[3,5,7]] => [[1,3,5,7],[2,4,6]] => {{1,3,5,7},{2,4,6}}
[[1,2,5,7],[3,4,6]] => [[1,2,3,4,6],[5,7]] => [[1,2,3,5,7],[4,6]] => {{1,2,3,5,7},{4,6}}
[[1,3,4,7],[2,5,6]] => [[1,2,4,5,6],[3,7]] => [[1,3,4,5,7],[2,6]] => {{1,3,4,5,7},{2,6}}
[[1,2,4,7],[3,5,6]] => [[1,2,3,5,6],[4,7]] => [[1,2,4,5,7],[3,6]] => {{1,2,4,5,7},{3,6}}
[[1,2,3,7],[4,5,6]] => [[1,2,3,4,5,6],[7]] => [[1,2,3,4,5,7],[6]] => {{1,2,3,4,5,7},{6}}
[[1,3,5,6],[2,4,7]] => [[1,2,4,6,7],[3,5]] => [[1,3,5,6,7],[2,4]] => {{1,3,5,6,7},{2,4}}
[[1,2,5,6],[3,4,7]] => [[1,2,3,4,7],[5,6]] => [[1,2,3,6,7],[4,5]] => {{1,2,3,6,7},{4,5}}
[[1,3,4,6],[2,5,7]] => [[1,2,4,5,7],[3,6]] => [[1,3,4,6,7],[2,5]] => {{1,3,4,6,7},{2,5}}
[[1,2,4,6],[3,5,7]] => [[1,2,3,5,7],[4,6]] => [[1,2,4,6,7],[3,5]] => {{1,2,4,6,7},{3,5}}
[[1,2,3,6],[4,5,7]] => [[1,2,3,4,5,7],[6]] => [[1,2,3,4,6,7],[5]] => {{1,2,3,4,6,7},{5}}
[[1,3,4,5],[2,6,7]] => [[1,2,4,5,6,7],[3]] => [[1,3,4,5,6,7],[2]] => {{1,3,4,5,6,7},{2}}
[[1,2,4,5],[3,6,7]] => [[1,2,3,5,6,7],[4]] => [[1,2,4,5,6,7],[3]] => {{1,2,4,5,6,7},{3}}
[[1,2,3,5],[4,6,7]] => [[1,2,3,4,6,7],[5]] => [[1,2,3,5,6,7],[4]] => {{1,2,3,5,6,7},{4}}
[[1,2,3,4],[5,6,7]] => [[1,2,3,4,5,6,7]] => [[1,2,3,4,5,6,7]] => {{1,2,3,4,5,6,7}}
[[1,4,6,7],[2,5],[3]] => [[1,2,5,7],[3,6],[4]] => [[1,4,6,7],[2,5],[3]] => {{1,4,6,7},{2,5},{3}}
[[1,3,6,7],[2,5],[4]] => [[1,2,4,5],[3,7],[6]] => [[1,3,4,7],[2,6],[5]] => {{1,3,4,7},{2,6},{5}}
[[1,2,6,7],[3,5],[4]] => [[1,2,3,5],[4,7],[6]] => [[1,2,4,7],[3,6],[5]] => {{1,2,4,7},{3,6},{5}}
[[1,3,6,7],[2,4],[5]] => [[1,2,4,7],[3,5],[6]] => [[1,3,6,7],[2,4],[5]] => {{1,3,6,7},{2,4},{5}}
[[1,2,6,7],[3,4],[5]] => [[1,2,3,4],[5,7],[6]] => [[1,2,3,7],[4,6],[5]] => {{1,2,3,7},{4,6},{5}}
[[1,4,5,7],[2,6],[3]] => [[1,2,5,6],[3,7],[4]] => [[1,4,5,7],[2,6],[3]] => {{1,4,5,7},{2,6},{3}}
[[1,3,5,7],[2,6],[4]] => [[1,2,4,6],[3,7],[5]] => [[1,3,5,7],[2,6],[4]] => {{1,3,5,7},{2,6},{4}}
[[1,2,5,7],[3,6],[4]] => [[1,2,3,6],[4,7],[5]] => [[1,2,5,7],[3,6],[4]] => {{1,2,5,7},{3,6},{4}}
[[1,3,4,7],[2,6],[5]] => [[1,2,4,5,6],[3],[7]] => [[1,3,4,5,7],[2],[6]] => {{1,3,4,5,7},{2},{6}}
[[1,2,4,7],[3,6],[5]] => [[1,2,3,5,6],[4],[7]] => [[1,2,4,5,7],[3],[6]] => {{1,2,4,5,7},{3},{6}}
[[1,2,3,7],[4,6],[5]] => [[1,2,3,4,6],[5],[7]] => [[1,2,3,5,7],[4],[6]] => {{1,2,3,5,7},{4},{6}}
[[1,3,5,7],[2,4],[6]] => [[1,2,4,6],[3,5],[7]] => [[1,3,5,7],[2,4],[6]] => {{1,3,5,7},{2,4},{6}}
[[1,2,5,7],[3,4],[6]] => [[1,2,3,4],[5,6],[7]] => [[1,2,3,7],[4,5],[6]] => {{1,2,3,7},{4,5},{6}}
[[1,3,4,7],[2,5],[6]] => [[1,2,4,5],[3,6],[7]] => [[1,3,4,7],[2,5],[6]] => {{1,3,4,7},{2,5},{6}}
[[1,2,4,7],[3,5],[6]] => [[1,2,3,5],[4,6],[7]] => [[1,2,4,7],[3,5],[6]] => {{1,2,4,7},{3,5},{6}}
[[1,2,3,7],[4,5],[6]] => [[1,2,3,4,5],[6],[7]] => [[1,2,3,4,7],[5],[6]] => {{1,2,3,4,7},{5},{6}}
[[1,4,5,6],[2,7],[3]] => [[1,2,5,6,7],[3],[4]] => [[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}}
[[1,3,5,6],[2,7],[4]] => [[1,2,4,6,7],[3],[5]] => [[1,3,5,6,7],[2],[4]] => {{1,3,5,6,7},{2},{4}}
[[1,2,5,6],[3,7],[4]] => [[1,2,3,6,7],[4],[5]] => [[1,2,5,6,7],[3],[4]] => {{1,2,5,6,7},{3},{4}}
[[1,3,4,6],[2,7],[5]] => [[1,2,4,5,7],[3],[6]] => [[1,3,4,6,7],[2],[5]] => {{1,3,4,6,7},{2},{5}}
[[1,2,4,6],[3,7],[5]] => [[1,2,3,5,7],[4],[6]] => [[1,2,4,6,7],[3],[5]] => {{1,2,4,6,7},{3},{5}}
[[1,2,3,6],[4,7],[5]] => [[1,2,3,4,7],[5],[6]] => [[1,2,3,6,7],[4],[5]] => {{1,2,3,6,7},{4},{5}}
[[1,3,4,5],[2,7],[6]] => [[1,2,4,5,6,7],[3]] => [[1,3,4,5,6,7],[2]] => {{1,3,4,5,6,7},{2}}
[[1,2,4,5],[3,7],[6]] => [[1,2,3,5,6,7],[4]] => [[1,2,4,5,6,7],[3]] => {{1,2,4,5,6,7},{3}}
[[1,2,3,5],[4,7],[6]] => [[1,2,3,4,6,7],[5]] => [[1,2,3,5,6,7],[4]] => {{1,2,3,5,6,7},{4}}
[[1,2,3,4],[5,7],[6]] => [[1,2,3,4,5,7],[6]] => [[1,2,3,4,6,7],[5]] => {{1,2,3,4,6,7},{5}}
[[1,3,5,6],[2,4],[7]] => [[1,2,4,6,7],[3,5]] => [[1,3,5,6,7],[2,4]] => {{1,3,5,6,7},{2,4}}
[[1,2,5,6],[3,4],[7]] => [[1,2,3,4,7],[5,6]] => [[1,2,3,6,7],[4,5]] => {{1,2,3,6,7},{4,5}}
[[1,3,4,6],[2,5],[7]] => [[1,2,4,5,7],[3,6]] => [[1,3,4,6,7],[2,5]] => {{1,3,4,6,7},{2,5}}
[[1,2,4,6],[3,5],[7]] => [[1,2,3,5,7],[4,6]] => [[1,2,4,6,7],[3,5]] => {{1,2,4,6,7},{3,5}}
[[1,2,3,6],[4,5],[7]] => [[1,2,3,4,5],[6,7]] => [[1,2,3,4,7],[5,6]] => {{1,2,3,4,7},{5,6}}
[[1,3,4,5],[2,6],[7]] => [[1,2,4,5,6],[3,7]] => [[1,3,4,5,7],[2,6]] => {{1,3,4,5,7},{2,6}}
[[1,2,4,5],[3,6],[7]] => [[1,2,3,5,6],[4,7]] => [[1,2,4,5,7],[3,6]] => {{1,2,4,5,7},{3,6}}
[[1,2,3,5],[4,6],[7]] => [[1,2,3,4,6],[5,7]] => [[1,2,3,5,7],[4,6]] => {{1,2,3,5,7},{4,6}}
[[1,2,3,4],[5,6],[7]] => [[1,2,3,4,5,6],[7]] => [[1,2,3,4,5,7],[6]] => {{1,2,3,4,5,7},{6}}
[[1,5,6,7],[2],[3],[4]] => [[1,2,6,7],[3],[4],[5]] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}}
[[1,4,6,7],[2],[3],[5]] => [[1,2,5,7],[3],[4],[6]] => [[1,4,6,7],[2],[3],[5]] => {{1,4,6,7},{2},{3},{5}}
[[1,3,6,7],[2],[4],[5]] => [[1,2,4,7],[3],[5],[6]] => [[1,3,6,7],[2],[4],[5]] => {{1,3,6,7},{2},{4},{5}}
[[1,2,6,7],[3],[4],[5]] => [[1,2,3,7],[4],[5],[6]] => [[1,2,6,7],[3],[4],[5]] => {{1,2,6,7},{3},{4},{5}}
[[1,4,5,7],[2],[3],[6]] => [[1,2,5,6],[3],[4],[7]] => [[1,4,5,7],[2],[3],[6]] => {{1,4,5,7},{2},{3},{6}}
[[1,3,5,7],[2],[4],[6]] => [[1,2,4,6],[3],[5],[7]] => [[1,3,5,7],[2],[4],[6]] => {{1,3,5,7},{2},{4},{6}}
[[1,2,5,7],[3],[4],[6]] => [[1,2,3,6],[4],[5],[7]] => [[1,2,5,7],[3],[4],[6]] => {{1,2,5,7},{3},{4},{6}}
[[1,3,4,7],[2],[5],[6]] => [[1,2,4,5],[3],[6],[7]] => [[1,3,4,7],[2],[5],[6]] => {{1,3,4,7},{2},{5},{6}}
[[1,2,4,7],[3],[5],[6]] => [[1,2,3,5],[4],[6],[7]] => [[1,2,4,7],[3],[5],[6]] => {{1,2,4,7},{3},{5},{6}}
[[1,2,3,7],[4],[5],[6]] => [[1,2,3,4],[5],[6],[7]] => [[1,2,3,7],[4],[5],[6]] => {{1,2,3,7},{4},{5},{6}}
[[1,4,5,6],[2],[3],[7]] => [[1,2,5,6,7],[3],[4]] => [[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}}
[[1,3,5,6],[2],[4],[7]] => [[1,2,4,6,7],[3],[5]] => [[1,3,5,6,7],[2],[4]] => {{1,3,5,6,7},{2},{4}}
[[1,2,5,6],[3],[4],[7]] => [[1,2,3,6,7],[4],[5]] => [[1,2,5,6,7],[3],[4]] => {{1,2,5,6,7},{3},{4}}
[[1,3,4,6],[2],[5],[7]] => [[1,2,4,5,7],[3],[6]] => [[1,3,4,6,7],[2],[5]] => {{1,3,4,6,7},{2},{5}}
[[1,2,4,6],[3],[5],[7]] => [[1,2,3,5,7],[4],[6]] => [[1,2,4,6,7],[3],[5]] => {{1,2,4,6,7},{3},{5}}
[[1,2,3,6],[4],[5],[7]] => [[1,2,3,4,7],[5],[6]] => [[1,2,3,6,7],[4],[5]] => {{1,2,3,6,7},{4},{5}}
[[1,3,4,5],[2],[6],[7]] => [[1,2,4,5,6],[3],[7]] => [[1,3,4,5,7],[2],[6]] => {{1,3,4,5,7},{2},{6}}
[[1,2,4,5],[3],[6],[7]] => [[1,2,3,5,6],[4],[7]] => [[1,2,4,5,7],[3],[6]] => {{1,2,4,5,7},{3},{6}}
[[1,2,3,5],[4],[6],[7]] => [[1,2,3,4,6],[5],[7]] => [[1,2,3,5,7],[4],[6]] => {{1,2,3,5,7},{4},{6}}
[[1,2,3,4],[5],[6],[7]] => [[1,2,3,4,5],[6],[7]] => [[1,2,3,4,7],[5],[6]] => {{1,2,3,4,7},{5},{6}}
[[1,4,6],[2,5,7],[3]] => [[1,2,5,7],[3,6],[4]] => [[1,4,6,7],[2,5],[3]] => {{1,4,6,7},{2,5},{3}}
[[1,3,6],[2,5,7],[4]] => [[1,2,4,5,7],[3],[6]] => [[1,3,4,6,7],[2],[5]] => {{1,3,4,6,7},{2},{5}}
[[1,2,6],[3,5,7],[4]] => [[1,2,3,5,7],[4],[6]] => [[1,2,4,6,7],[3],[5]] => {{1,2,4,6,7},{3},{5}}
[[1,3,6],[2,4,7],[5]] => [[1,2,4,7],[3,5],[6]] => [[1,3,6,7],[2,4],[5]] => {{1,3,6,7},{2,4},{5}}
[[1,2,6],[3,4,7],[5]] => [[1,2,3,4,7],[5],[6]] => [[1,2,3,6,7],[4],[5]] => {{1,2,3,6,7},{4},{5}}
[[1,4,5],[2,6,7],[3]] => [[1,2,5,6,7],[3],[4]] => [[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}}
[[1,3,5],[2,6,7],[4]] => [[1,2,4,6,7],[3],[5]] => [[1,3,5,6,7],[2],[4]] => {{1,3,5,6,7},{2},{4}}
[[1,2,5],[3,6,7],[4]] => [[1,2,3,6,7],[4],[5]] => [[1,2,5,6,7],[3],[4]] => {{1,2,5,6,7},{3},{4}}
[[1,3,4],[2,6,7],[5]] => [[1,2,4,5,6,7],[3]] => [[1,3,4,5,6,7],[2]] => {{1,3,4,5,6,7},{2}}
[[1,2,4],[3,6,7],[5]] => [[1,2,3,5,6,7],[4]] => [[1,2,4,5,6,7],[3]] => {{1,2,4,5,6,7},{3}}
[[1,2,3],[4,6,7],[5]] => [[1,2,3,4,6,7],[5]] => [[1,2,3,5,6,7],[4]] => {{1,2,3,5,6,7},{4}}
[[1,3,5],[2,4,7],[6]] => [[1,2,4,6,7],[3,5]] => [[1,3,5,6,7],[2,4]] => {{1,3,5,6,7},{2,4}}
[[1,2,5],[3,4,7],[6]] => [[1,2,3,4,7],[5,6]] => [[1,2,3,6,7],[4,5]] => {{1,2,3,6,7},{4,5}}
[[1,3,4],[2,5,7],[6]] => [[1,2,4,5,7],[3,6]] => [[1,3,4,6,7],[2,5]] => {{1,3,4,6,7},{2,5}}
[[1,2,4],[3,5,7],[6]] => [[1,2,3,5,7],[4,6]] => [[1,2,4,6,7],[3,5]] => {{1,2,4,6,7},{3,5}}
[[1,2,3],[4,5,7],[6]] => [[1,2,3,4,5,7],[6]] => [[1,2,3,4,6,7],[5]] => {{1,2,3,4,6,7},{5}}
[[1,3,5],[2,4,6],[7]] => [[1,2,4,6],[3,5,7]] => [[1,3,5,7],[2,4,6]] => {{1,3,5,7},{2,4,6}}
[[1,2,5],[3,4,6],[7]] => [[1,2,3,4,6],[5,7]] => [[1,2,3,5,7],[4,6]] => {{1,2,3,5,7},{4,6}}
[[1,3,4],[2,5,6],[7]] => [[1,2,4,5,6],[3,7]] => [[1,3,4,5,7],[2,6]] => {{1,3,4,5,7},{2,6}}
[[1,2,4],[3,5,6],[7]] => [[1,2,3,5,6],[4,7]] => [[1,2,4,5,7],[3,6]] => {{1,2,4,5,7},{3,6}}
[[1,2,3],[4,5,6],[7]] => [[1,2,3,4,5,6],[7]] => [[1,2,3,4,5,7],[6]] => {{1,2,3,4,5,7},{6}}
[[1,4,7],[2,5],[3,6]] => [[1,2,5],[3,6],[4,7]] => [[1,4,7],[2,5],[3,6]] => {{1,4,7},{2,5},{3,6}}
[[1,3,7],[2,5],[4,6]] => [[1,2,4,5],[3,6],[7]] => [[1,3,4,7],[2,5],[6]] => {{1,3,4,7},{2,5},{6}}
[[1,2,7],[3,5],[4,6]] => [[1,2,3,5],[4,6],[7]] => [[1,2,4,7],[3,5],[6]] => {{1,2,4,7},{3,5},{6}}
[[1,3,7],[2,4],[5,6]] => [[1,2,4,6],[3,5],[7]] => [[1,3,5,7],[2,4],[6]] => {{1,3,5,7},{2,4},{6}}
[[1,2,7],[3,4],[5,6]] => [[1,2,3,4],[5,6],[7]] => [[1,2,3,7],[4,5],[6]] => {{1,2,3,7},{4,5},{6}}
[[1,4,6],[2,5],[3,7]] => [[1,2,5,7],[3,6],[4]] => [[1,4,6,7],[2,5],[3]] => {{1,4,6,7},{2,5},{3}}
[[1,3,6],[2,5],[4,7]] => [[1,2,4,5],[3,7],[6]] => [[1,3,4,7],[2,6],[5]] => {{1,3,4,7},{2,6},{5}}
[[1,2,6],[3,5],[4,7]] => [[1,2,3,5],[4,7],[6]] => [[1,2,4,7],[3,6],[5]] => {{1,2,4,7},{3,6},{5}}
[[1,3,6],[2,4],[5,7]] => [[1,2,4,7],[3,5],[6]] => [[1,3,6,7],[2,4],[5]] => {{1,3,6,7},{2,4},{5}}
[[1,2,6],[3,4],[5,7]] => [[1,2,3,4],[5,7],[6]] => [[1,2,3,7],[4,6],[5]] => {{1,2,3,7},{4,6},{5}}
[[1,4,5],[2,6],[3,7]] => [[1,2,5,6],[3,7],[4]] => [[1,4,5,7],[2,6],[3]] => {{1,4,5,7},{2,6},{3}}
[[1,3,5],[2,6],[4,7]] => [[1,2,4,6],[3,7],[5]] => [[1,3,5,7],[2,6],[4]] => {{1,3,5,7},{2,6},{4}}
[[1,2,5],[3,6],[4,7]] => [[1,2,3,6],[4,7],[5]] => [[1,2,5,7],[3,6],[4]] => {{1,2,5,7},{3,6},{4}}
[[1,3,4],[2,6],[5,7]] => [[1,2,4,5,6],[3,7]] => [[1,3,4,5,7],[2,6]] => {{1,3,4,5,7},{2,6}}
[[1,2,4],[3,6],[5,7]] => [[1,2,3,5,6],[4,7]] => [[1,2,4,5,7],[3,6]] => {{1,2,4,5,7},{3,6}}
[[1,2,3],[4,6],[5,7]] => [[1,2,3,4,6],[5,7]] => [[1,2,3,5,7],[4,6]] => {{1,2,3,5,7},{4,6}}
[[1,3,5],[2,4],[6,7]] => [[1,2,4,6,7],[3,5]] => [[1,3,5,6,7],[2,4]] => {{1,3,5,6,7},{2,4}}
[[1,2,5],[3,4],[6,7]] => [[1,2,3,4,7],[5,6]] => [[1,2,3,6,7],[4,5]] => {{1,2,3,6,7},{4,5}}
[[1,3,4],[2,5],[6,7]] => [[1,2,4,5,7],[3,6]] => [[1,3,4,6,7],[2,5]] => {{1,3,4,6,7},{2,5}}
[[1,2,4],[3,5],[6,7]] => [[1,2,3,5,7],[4,6]] => [[1,2,4,6,7],[3,5]] => {{1,2,4,6,7},{3,5}}
[[1,2,3],[4,5],[6,7]] => [[1,2,3,4,5],[6,7]] => [[1,2,3,4,7],[5,6]] => {{1,2,3,4,7},{5,6}}
[[1,5,7],[2,6],[3],[4]] => [[1,2,6],[3,7],[4],[5]] => [[1,5,7],[2,6],[3],[4]] => {{1,5,7},{2,6},{3},{4}}
[[1,4,7],[2,6],[3],[5]] => [[1,2,5,6],[3],[4],[7]] => [[1,4,5,7],[2],[3],[6]] => {{1,4,5,7},{2},{3},{6}}
[[1,3,7],[2,6],[4],[5]] => [[1,2,4,6],[3],[5],[7]] => [[1,3,5,7],[2],[4],[6]] => {{1,3,5,7},{2},{4},{6}}
[[1,2,7],[3,6],[4],[5]] => [[1,2,3,6],[4],[5],[7]] => [[1,2,5,7],[3],[4],[6]] => {{1,2,5,7},{3},{4},{6}}
[[1,4,7],[2,5],[3],[6]] => [[1,2,5],[3,6],[4],[7]] => [[1,4,7],[2,5],[3],[6]] => {{1,4,7},{2,5},{3},{6}}
[[1,3,7],[2,5],[4],[6]] => [[1,2,4,5],[3],[6],[7]] => [[1,3,4,7],[2],[5],[6]] => {{1,3,4,7},{2},{5},{6}}
[[1,2,7],[3,5],[4],[6]] => [[1,2,3,5],[4],[6],[7]] => [[1,2,4,7],[3],[5],[6]] => {{1,2,4,7},{3},{5},{6}}
[[1,3,7],[2,4],[5],[6]] => [[1,2,4],[3,5],[6],[7]] => [[1,3,7],[2,4],[5],[6]] => {{1,3,7},{2,4},{5},{6}}
[[1,2,7],[3,4],[5],[6]] => [[1,2,3,4],[5],[6],[7]] => [[1,2,3,7],[4],[5],[6]] => {{1,2,3,7},{4},{5},{6}}
[[1,5,6],[2,7],[3],[4]] => [[1,2,6,7],[3],[4],[5]] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}}
[[1,4,6],[2,7],[3],[5]] => [[1,2,5,7],[3],[4],[6]] => [[1,4,6,7],[2],[3],[5]] => {{1,4,6,7},{2},{3},{5}}
[[1,3,6],[2,7],[4],[5]] => [[1,2,4,7],[3],[5],[6]] => [[1,3,6,7],[2],[4],[5]] => {{1,3,6,7},{2},{4},{5}}
[[1,2,6],[3,7],[4],[5]] => [[1,2,3,7],[4],[5],[6]] => [[1,2,6,7],[3],[4],[5]] => {{1,2,6,7},{3},{4},{5}}
[[1,4,5],[2,7],[3],[6]] => [[1,2,5,6,7],[3],[4]] => [[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}}
[[1,3,5],[2,7],[4],[6]] => [[1,2,4,6,7],[3],[5]] => [[1,3,5,6,7],[2],[4]] => {{1,3,5,6,7},{2},{4}}
[[1,2,5],[3,7],[4],[6]] => [[1,2,3,6,7],[4],[5]] => [[1,2,5,6,7],[3],[4]] => {{1,2,5,6,7},{3},{4}}
[[1,3,4],[2,7],[5],[6]] => [[1,2,4,5,7],[3],[6]] => [[1,3,4,6,7],[2],[5]] => {{1,3,4,6,7},{2},{5}}
[[1,2,4],[3,7],[5],[6]] => [[1,2,3,5,7],[4],[6]] => [[1,2,4,6,7],[3],[5]] => {{1,2,4,6,7},{3},{5}}
[[1,2,3],[4,7],[5],[6]] => [[1,2,3,4,7],[5],[6]] => [[1,2,3,6,7],[4],[5]] => {{1,2,3,6,7},{4},{5}}
[[1,4,6],[2,5],[3],[7]] => [[1,2,5,7],[3,6],[4]] => [[1,4,6,7],[2,5],[3]] => {{1,4,6,7},{2,5},{3}}
[[1,3,6],[2,5],[4],[7]] => [[1,2,4,5],[3,7],[6]] => [[1,3,4,7],[2,6],[5]] => {{1,3,4,7},{2,6},{5}}
[[1,2,6],[3,5],[4],[7]] => [[1,2,3,5],[4,7],[6]] => [[1,2,4,7],[3,6],[5]] => {{1,2,4,7},{3,6},{5}}
[[1,3,6],[2,4],[5],[7]] => [[1,2,4,7],[3,5],[6]] => [[1,3,6,7],[2,4],[5]] => {{1,3,6,7},{2,4},{5}}
[[1,2,6],[3,4],[5],[7]] => [[1,2,3,4],[5,7],[6]] => [[1,2,3,7],[4,6],[5]] => {{1,2,3,7},{4,6},{5}}
[[1,4,5],[2,6],[3],[7]] => [[1,2,5,6],[3,7],[4]] => [[1,4,5,7],[2,6],[3]] => {{1,4,5,7},{2,6},{3}}
[[1,3,5],[2,6],[4],[7]] => [[1,2,4,6],[3,7],[5]] => [[1,3,5,7],[2,6],[4]] => {{1,3,5,7},{2,6},{4}}
[[1,2,5],[3,6],[4],[7]] => [[1,2,3,6],[4,7],[5]] => [[1,2,5,7],[3,6],[4]] => {{1,2,5,7},{3,6},{4}}
[[1,3,4],[2,6],[5],[7]] => [[1,2,4,5,6],[3],[7]] => [[1,3,4,5,7],[2],[6]] => {{1,3,4,5,7},{2},{6}}
[[1,2,4],[3,6],[5],[7]] => [[1,2,3,5,6],[4],[7]] => [[1,2,4,5,7],[3],[6]] => {{1,2,4,5,7},{3},{6}}
[[1,2,3],[4,6],[5],[7]] => [[1,2,3,4,6],[5],[7]] => [[1,2,3,5,7],[4],[6]] => {{1,2,3,5,7},{4},{6}}
[[1,3,5],[2,4],[6],[7]] => [[1,2,4,6],[3,5],[7]] => [[1,3,5,7],[2,4],[6]] => {{1,3,5,7},{2,4},{6}}
[[1,2,5],[3,4],[6],[7]] => [[1,2,3,4],[5,6],[7]] => [[1,2,3,7],[4,5],[6]] => {{1,2,3,7},{4,5},{6}}
[[1,3,4],[2,5],[6],[7]] => [[1,2,4,5],[3,6],[7]] => [[1,3,4,7],[2,5],[6]] => {{1,3,4,7},{2,5},{6}}
[[1,2,4],[3,5],[6],[7]] => [[1,2,3,5],[4,6],[7]] => [[1,2,4,7],[3,5],[6]] => {{1,2,4,7},{3,5},{6}}
[[1,2,3],[4,5],[6],[7]] => [[1,2,3,4,5],[6],[7]] => [[1,2,3,4,7],[5],[6]] => {{1,2,3,4,7},{5},{6}}
[[1,6,7],[2],[3],[4],[5]] => [[1,2,7],[3],[4],[5],[6]] => [[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}}
[[1,5,7],[2],[3],[4],[6]] => [[1,2,6],[3],[4],[5],[7]] => [[1,5,7],[2],[3],[4],[6]] => {{1,5,7},{2},{3},{4},{6}}
[[1,4,7],[2],[3],[5],[6]] => [[1,2,5],[3],[4],[6],[7]] => [[1,4,7],[2],[3],[5],[6]] => {{1,4,7},{2},{3},{5},{6}}
[[1,3,7],[2],[4],[5],[6]] => [[1,2,4],[3],[5],[6],[7]] => [[1,3,7],[2],[4],[5],[6]] => {{1,3,7},{2},{4},{5},{6}}
[[1,2,7],[3],[4],[5],[6]] => [[1,2,3],[4],[5],[6],[7]] => [[1,2,7],[3],[4],[5],[6]] => {{1,2,7},{3},{4},{5},{6}}
[[1,5,6],[2],[3],[4],[7]] => [[1,2,6,7],[3],[4],[5]] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}}
[[1,4,6],[2],[3],[5],[7]] => [[1,2,5,7],[3],[4],[6]] => [[1,4,6,7],[2],[3],[5]] => {{1,4,6,7},{2},{3},{5}}
[[1,3,6],[2],[4],[5],[7]] => [[1,2,4,7],[3],[5],[6]] => [[1,3,6,7],[2],[4],[5]] => {{1,3,6,7},{2},{4},{5}}
[[1,2,6],[3],[4],[5],[7]] => [[1,2,3,7],[4],[5],[6]] => [[1,2,6,7],[3],[4],[5]] => {{1,2,6,7},{3},{4},{5}}
[[1,4,5],[2],[3],[6],[7]] => [[1,2,5,6],[3],[4],[7]] => [[1,4,5,7],[2],[3],[6]] => {{1,4,5,7},{2},{3},{6}}
[[1,3,5],[2],[4],[6],[7]] => [[1,2,4,6],[3],[5],[7]] => [[1,3,5,7],[2],[4],[6]] => {{1,3,5,7},{2},{4},{6}}
[[1,2,5],[3],[4],[6],[7]] => [[1,2,3,6],[4],[5],[7]] => [[1,2,5,7],[3],[4],[6]] => {{1,2,5,7},{3},{4},{6}}
[[1,3,4],[2],[5],[6],[7]] => [[1,2,4,5],[3],[6],[7]] => [[1,3,4,7],[2],[5],[6]] => {{1,3,4,7},{2},{5},{6}}
[[1,2,4],[3],[5],[6],[7]] => [[1,2,3,5],[4],[6],[7]] => [[1,2,4,7],[3],[5],[6]] => {{1,2,4,7},{3},{5},{6}}
[[1,2,3],[4],[5],[6],[7]] => [[1,2,3,4],[5],[6],[7]] => [[1,2,3,7],[4],[5],[6]] => {{1,2,3,7},{4},{5},{6}}
[[1,5],[2,6],[3,7],[4]] => [[1,2,6],[3,7],[4],[5]] => [[1,5,7],[2,6],[3],[4]] => {{1,5,7},{2,6},{3},{4}}
[[1,4],[2,6],[3,7],[5]] => [[1,2,5,6],[3,7],[4]] => [[1,4,5,7],[2,6],[3]] => {{1,4,5,7},{2,6},{3}}
[[1,3],[2,6],[4,7],[5]] => [[1,2,4,6],[3,7],[5]] => [[1,3,5,7],[2,6],[4]] => {{1,3,5,7},{2,6},{4}}
[[1,2],[3,6],[4,7],[5]] => [[1,2,3,6],[4,7],[5]] => [[1,2,5,7],[3,6],[4]] => {{1,2,5,7},{3,6},{4}}
[[1,4],[2,5],[3,7],[6]] => [[1,2,5,7],[3,6],[4]] => [[1,4,6,7],[2,5],[3]] => {{1,4,6,7},{2,5},{3}}
[[1,3],[2,5],[4,7],[6]] => [[1,2,4,5],[3,7],[6]] => [[1,3,4,7],[2,6],[5]] => {{1,3,4,7},{2,6},{5}}
[[1,2],[3,5],[4,7],[6]] => [[1,2,3,5],[4,7],[6]] => [[1,2,4,7],[3,6],[5]] => {{1,2,4,7},{3,6},{5}}
[[1,3],[2,4],[5,7],[6]] => [[1,2,4,7],[3,5],[6]] => [[1,3,6,7],[2,4],[5]] => {{1,3,6,7},{2,4},{5}}
[[1,2],[3,4],[5,7],[6]] => [[1,2,3,4],[5,7],[6]] => [[1,2,3,7],[4,6],[5]] => {{1,2,3,7},{4,6},{5}}
[[1,4],[2,5],[3,6],[7]] => [[1,2,5],[3,6],[4,7]] => [[1,4,7],[2,5],[3,6]] => {{1,4,7},{2,5},{3,6}}
[[1,3],[2,5],[4,6],[7]] => [[1,2,4,5],[3,6],[7]] => [[1,3,4,7],[2,5],[6]] => {{1,3,4,7},{2,5},{6}}
[[1,2],[3,5],[4,6],[7]] => [[1,2,3,5],[4,6],[7]] => [[1,2,4,7],[3,5],[6]] => {{1,2,4,7},{3,5},{6}}
[[1,3],[2,4],[5,6],[7]] => [[1,2,4,6],[3,5],[7]] => [[1,3,5,7],[2,4],[6]] => {{1,3,5,7},{2,4},{6}}
[[1,2],[3,4],[5,6],[7]] => [[1,2,3,4],[5,6],[7]] => [[1,2,3,7],[4,5],[6]] => {{1,2,3,7},{4,5},{6}}
[[1,6],[2,7],[3],[4],[5]] => [[1,2,7],[3],[4],[5],[6]] => [[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}}
[[1,5],[2,7],[3],[4],[6]] => [[1,2,6,7],[3],[4],[5]] => [[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}}
[[1,4],[2,7],[3],[5],[6]] => [[1,2,5,7],[3],[4],[6]] => [[1,4,6,7],[2],[3],[5]] => {{1,4,6,7},{2},{3},{5}}
[[1,3],[2,7],[4],[5],[6]] => [[1,2,4,7],[3],[5],[6]] => [[1,3,6,7],[2],[4],[5]] => {{1,3,6,7},{2},{4},{5}}
[[1,2],[3,7],[4],[5],[6]] => [[1,2,3,7],[4],[5],[6]] => [[1,2,6,7],[3],[4],[5]] => {{1,2,6,7},{3},{4},{5}}
[[1,5],[2,6],[3],[4],[7]] => [[1,2,6],[3,7],[4],[5]] => [[1,5,7],[2,6],[3],[4]] => {{1,5,7},{2,6},{3},{4}}
[[1,4],[2,6],[3],[5],[7]] => [[1,2,5,6],[3],[4],[7]] => [[1,4,5,7],[2],[3],[6]] => {{1,4,5,7},{2},{3},{6}}
[[1,3],[2,6],[4],[5],[7]] => [[1,2,4,6],[3],[5],[7]] => [[1,3,5,7],[2],[4],[6]] => {{1,3,5,7},{2},{4},{6}}
[[1,2],[3,6],[4],[5],[7]] => [[1,2,3,6],[4],[5],[7]] => [[1,2,5,7],[3],[4],[6]] => {{1,2,5,7},{3},{4},{6}}
[[1,4],[2,5],[3],[6],[7]] => [[1,2,5],[3,6],[4],[7]] => [[1,4,7],[2,5],[3],[6]] => {{1,4,7},{2,5},{3},{6}}
[[1,3],[2,5],[4],[6],[7]] => [[1,2,4,5],[3],[6],[7]] => [[1,3,4,7],[2],[5],[6]] => {{1,3,4,7},{2},{5},{6}}
[[1,2],[3,5],[4],[6],[7]] => [[1,2,3,5],[4],[6],[7]] => [[1,2,4,7],[3],[5],[6]] => {{1,2,4,7},{3},{5},{6}}
[[1,3],[2,4],[5],[6],[7]] => [[1,2,4],[3,5],[6],[7]] => [[1,3,7],[2,4],[5],[6]] => {{1,3,7},{2,4},{5},{6}}
[[1,2],[3,4],[5],[6],[7]] => [[1,2,3,4],[5],[6],[7]] => [[1,2,3,7],[4],[5],[6]] => {{1,2,3,7},{4},{5},{6}}
[[1,7],[2],[3],[4],[5],[6]] => [[1,2],[3],[4],[5],[6],[7]] => [[1,7],[2],[3],[4],[5],[6]] => {{1,7},{2},{3},{4},{5},{6}}
[[1,6],[2],[3],[4],[5],[7]] => [[1,2,7],[3],[4],[5],[6]] => [[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}}
[[1,5],[2],[3],[4],[6],[7]] => [[1,2,6],[3],[4],[5],[7]] => [[1,5,7],[2],[3],[4],[6]] => {{1,5,7},{2},{3},{4},{6}}
[[1,4],[2],[3],[5],[6],[7]] => [[1,2,5],[3],[4],[6],[7]] => [[1,4,7],[2],[3],[5],[6]] => {{1,4,7},{2},{3},{5},{6}}
[[1,3],[2],[4],[5],[6],[7]] => [[1,2,4],[3],[5],[6],[7]] => [[1,3,7],[2],[4],[5],[6]] => {{1,3,7},{2},{4},{5},{6}}
[[1,2],[3],[4],[5],[6],[7]] => [[1,2,3],[4],[5],[6],[7]] => [[1,2,7],[3],[4],[5],[6]] => {{1,2,7},{3},{4},{5},{6}}
[[1],[2],[3],[4],[5],[6],[7]] => [[1,2],[3],[4],[5],[6],[7]] => [[1,7],[2],[3],[4],[5],[6]] => {{1,7},{2},{3},{4},{5},{6}}
[[1,2,3,4,5,6,7,8]] => [[1,2,3,4,5,6,7,8]] => [[1,2,3,4,5,6,7,8]] => {{1,2,3,4,5,6,7,8}}
[[1,3,4,5,6,7,8],[2]] => [[1,2,4,5,6,7,8],[3]] => [[1,3,4,5,6,7,8],[2]] => {{1,3,4,5,6,7,8},{2}}
[[1,2,4,5,6,7,8],[3]] => [[1,2,3,5,6,7,8],[4]] => [[1,2,4,5,6,7,8],[3]] => {{1,2,4,5,6,7,8},{3}}
[[1,2,3,5,6,7,8],[4]] => [[1,2,3,4,6,7,8],[5]] => [[1,2,3,5,6,7,8],[4]] => {{1,2,3,5,6,7,8},{4}}
[[1,2,3,4,6,7,8],[5]] => [[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => {{1,2,3,4,6,7,8},{5}}
[[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,7,8],[6]] => {{1,2,3,4,5,7,8},{6}}
[[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,6,7],[8]] => [[1,2,3,4,5,6,8],[7]] => {{1,2,3,4,5,6,8},{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]] => {{1,2,3,4,5,6,7,8}}
[[1,3,5,6,7,8],[2,4]] => [[1,2,4,6,7,8],[3,5]] => [[1,3,5,6,7,8],[2,4]] => {{1,3,5,6,7,8},{2,4}}
[[1,2,5,6,7,8],[3,4]] => [[1,2,3,4,7,8],[5,6]] => [[1,2,3,6,7,8],[4,5]] => {{1,2,3,6,7,8},{4,5}}
[[1,3,4,6,7,8],[2,5]] => [[1,2,4,5,7,8],[3,6]] => [[1,3,4,6,7,8],[2,5]] => {{1,3,4,6,7,8},{2,5}}
[[1,2,4,6,7,8],[3,5]] => [[1,2,3,5,7,8],[4,6]] => [[1,2,4,6,7,8],[3,5]] => {{1,2,4,6,7,8},{3,5}}
[[1,2,3,6,7,8],[4,5]] => [[1,2,3,4,5,8],[6,7]] => [[1,2,3,4,7,8],[5,6]] => {{1,2,3,4,7,8},{5,6}}
[[1,3,4,5,7,8],[2,6]] => [[1,2,4,5,6,8],[3,7]] => [[1,3,4,5,7,8],[2,6]] => {{1,3,4,5,7,8},{2,6}}
[[1,2,4,5,7,8],[3,6]] => [[1,2,3,5,6,8],[4,7]] => [[1,2,4,5,7,8],[3,6]] => {{1,2,4,5,7,8},{3,6}}
[[1,2,3,5,7,8],[4,6]] => [[1,2,3,4,6,8],[5,7]] => [[1,2,3,5,7,8],[4,6]] => {{1,2,3,5,7,8},{4,6}}
[[1,2,3,4,7,8],[5,6]] => [[1,2,3,4,5,6],[7,8]] => [[1,2,3,4,5,8],[6,7]] => {{1,2,3,4,5,8},{6,7}}
[[1,3,4,5,6,8],[2,7]] => [[1,2,4,5,6,7],[3,8]] => [[1,3,4,5,6,8],[2,7]] => {{1,3,4,5,6,8},{2,7}}
[[1,2,4,5,6,8],[3,7]] => [[1,2,3,5,6,7],[4,8]] => [[1,2,4,5,6,8],[3,7]] => {{1,2,4,5,6,8},{3,7}}
[[1,2,3,5,6,8],[4,7]] => [[1,2,3,4,6,7],[5,8]] => [[1,2,3,5,6,8],[4,7]] => {{1,2,3,5,6,8},{4,7}}
[[1,2,3,4,6,8],[5,7]] => [[1,2,3,4,5,7],[6,8]] => [[1,2,3,4,6,8],[5,7]] => {{1,2,3,4,6,8},{5,7}}
[[1,2,3,4,5,8],[6,7]] => [[1,2,3,4,5,6,7],[8]] => [[1,2,3,4,5,6,8],[7]] => {{1,2,3,4,5,6,8},{7}}
[[1,3,4,5,6,7],[2,8]] => [[1,2,4,5,6,7,8],[3]] => [[1,3,4,5,6,7,8],[2]] => {{1,3,4,5,6,7,8},{2}}
[[1,2,4,5,6,7],[3,8]] => [[1,2,3,5,6,7,8],[4]] => [[1,2,4,5,6,7,8],[3]] => {{1,2,4,5,6,7,8},{3}}
[[1,2,3,5,6,7],[4,8]] => [[1,2,3,4,6,7,8],[5]] => [[1,2,3,5,6,7,8],[4]] => {{1,2,3,5,6,7,8},{4}}
[[1,2,3,4,6,7],[5,8]] => [[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => {{1,2,3,4,6,7,8},{5}}
[[1,2,3,4,5,7],[6,8]] => [[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,7,8],[6]] => {{1,2,3,4,5,7,8},{6}}
[[1,2,3,4,5,6],[7,8]] => [[1,2,3,4,5,6,7,8]] => [[1,2,3,4,5,6,7,8]] => {{1,2,3,4,5,6,7,8}}
[[1,4,5,6,7,8],[2],[3]] => [[1,2,5,6,7,8],[3],[4]] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}}
[[1,3,5,6,7,8],[2],[4]] => [[1,2,4,6,7,8],[3],[5]] => [[1,3,5,6,7,8],[2],[4]] => {{1,3,5,6,7,8},{2},{4}}
[[1,2,5,6,7,8],[3],[4]] => [[1,2,3,6,7,8],[4],[5]] => [[1,2,5,6,7,8],[3],[4]] => {{1,2,5,6,7,8},{3},{4}}
[[1,3,4,6,7,8],[2],[5]] => [[1,2,4,5,7,8],[3],[6]] => [[1,3,4,6,7,8],[2],[5]] => {{1,3,4,6,7,8},{2},{5}}
[[1,2,4,6,7,8],[3],[5]] => [[1,2,3,5,7,8],[4],[6]] => [[1,2,4,6,7,8],[3],[5]] => {{1,2,4,6,7,8},{3},{5}}
[[1,2,3,6,7,8],[4],[5]] => [[1,2,3,4,7,8],[5],[6]] => [[1,2,3,6,7,8],[4],[5]] => {{1,2,3,6,7,8},{4},{5}}
[[1,3,4,5,7,8],[2],[6]] => [[1,2,4,5,6,8],[3],[7]] => [[1,3,4,5,7,8],[2],[6]] => {{1,3,4,5,7,8},{2},{6}}
[[1,2,4,5,7,8],[3],[6]] => [[1,2,3,5,6,8],[4],[7]] => [[1,2,4,5,7,8],[3],[6]] => {{1,2,4,5,7,8},{3},{6}}
[[1,2,3,5,7,8],[4],[6]] => [[1,2,3,4,6,8],[5],[7]] => [[1,2,3,5,7,8],[4],[6]] => {{1,2,3,5,7,8},{4},{6}}
[[1,2,3,4,7,8],[5],[6]] => [[1,2,3,4,5,8],[6],[7]] => [[1,2,3,4,7,8],[5],[6]] => {{1,2,3,4,7,8},{5},{6}}
[[1,3,4,5,6,8],[2],[7]] => [[1,2,4,5,6,7],[3],[8]] => [[1,3,4,5,6,8],[2],[7]] => {{1,3,4,5,6,8},{2},{7}}
[[1,2,4,5,6,8],[3],[7]] => [[1,2,3,5,6,7],[4],[8]] => [[1,2,4,5,6,8],[3],[7]] => {{1,2,4,5,6,8},{3},{7}}
[[1,2,3,5,6,8],[4],[7]] => [[1,2,3,4,6,7],[5],[8]] => [[1,2,3,5,6,8],[4],[7]] => {{1,2,3,5,6,8},{4},{7}}
[[1,2,3,4,6,8],[5],[7]] => [[1,2,3,4,5,7],[6],[8]] => [[1,2,3,4,6,8],[5],[7]] => {{1,2,3,4,6,8},{5},{7}}
[[1,2,3,4,5,8],[6],[7]] => [[1,2,3,4,5,6],[7],[8]] => [[1,2,3,4,5,8],[6],[7]] => {{1,2,3,4,5,8},{6},{7}}
[[1,3,4,5,6,7],[2],[8]] => [[1,2,4,5,6,7,8],[3]] => [[1,3,4,5,6,7,8],[2]] => {{1,3,4,5,6,7,8},{2}}
[[1,2,4,5,6,7],[3],[8]] => [[1,2,3,5,6,7,8],[4]] => [[1,2,4,5,6,7,8],[3]] => {{1,2,4,5,6,7,8},{3}}
[[1,2,3,5,6,7],[4],[8]] => [[1,2,3,4,6,7,8],[5]] => [[1,2,3,5,6,7,8],[4]] => {{1,2,3,5,6,7,8},{4}}
[[1,2,3,4,6,7],[5],[8]] => [[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => {{1,2,3,4,6,7,8},{5}}
[[1,2,3,4,5,7],[6],[8]] => [[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,7,8],[6]] => {{1,2,3,4,5,7,8},{6}}
[[1,2,3,4,5,6],[7],[8]] => [[1,2,3,4,5,6,7],[8]] => [[1,2,3,4,5,6,8],[7]] => {{1,2,3,4,5,6,8},{7}}
[[1,3,5,7,8],[2,4,6]] => [[1,2,4,6,8],[3,5,7]] => [[1,3,5,7,8],[2,4,6]] => {{1,3,5,7,8},{2,4,6}}
[[1,2,5,7,8],[3,4,6]] => [[1,2,3,4,6],[5,7,8]] => [[1,2,3,5,8],[4,6,7]] => {{1,2,3,5,8},{4,6,7}}
[[1,3,4,7,8],[2,5,6]] => [[1,2,4,5,6],[3,7,8]] => [[1,3,4,5,8],[2,6,7]] => {{1,3,4,5,8},{2,6,7}}
[[1,2,4,7,8],[3,5,6]] => [[1,2,3,5,6],[4,7,8]] => [[1,2,4,5,8],[3,6,7]] => {{1,2,4,5,8},{3,6,7}}
[[1,2,3,7,8],[4,5,6]] => [[1,2,3,4,5,6],[7,8]] => [[1,2,3,4,5,8],[6,7]] => {{1,2,3,4,5,8},{6,7}}
[[1,3,5,6,8],[2,4,7]] => [[1,2,4,6,7],[3,5,8]] => [[1,3,5,6,8],[2,4,7]] => {{1,3,5,6,8},{2,4,7}}
[[1,2,5,6,8],[3,4,7]] => [[1,2,3,4,7],[5,6,8]] => [[1,2,3,6,8],[4,5,7]] => {{1,2,3,6,8},{4,5,7}}
[[1,3,4,6,8],[2,5,7]] => [[1,2,4,5,7],[3,6,8]] => [[1,3,4,6,8],[2,5,7]] => {{1,3,4,6,8},{2,5,7}}
[[1,2,4,6,8],[3,5,7]] => [[1,2,3,5,7],[4,6,8]] => [[1,2,4,6,8],[3,5,7]] => {{1,2,4,6,8},{3,5,7}}
[[1,2,3,6,8],[4,5,7]] => [[1,2,3,4,5,7],[6,8]] => [[1,2,3,4,6,8],[5,7]] => {{1,2,3,4,6,8},{5,7}}
[[1,3,4,5,8],[2,6,7]] => [[1,2,4,5,6,7],[3,8]] => [[1,3,4,5,6,8],[2,7]] => {{1,3,4,5,6,8},{2,7}}
[[1,2,4,5,8],[3,6,7]] => [[1,2,3,5,6,7],[4,8]] => [[1,2,4,5,6,8],[3,7]] => {{1,2,4,5,6,8},{3,7}}
[[1,2,3,5,8],[4,6,7]] => [[1,2,3,4,6,7],[5,8]] => [[1,2,3,5,6,8],[4,7]] => {{1,2,3,5,6,8},{4,7}}
[[1,2,3,4,8],[5,6,7]] => [[1,2,3,4,5,6,7],[8]] => [[1,2,3,4,5,6,8],[7]] => {{1,2,3,4,5,6,8},{7}}
[[1,3,5,6,7],[2,4,8]] => [[1,2,4,6,7,8],[3,5]] => [[1,3,5,6,7,8],[2,4]] => {{1,3,5,6,7,8},{2,4}}
[[1,2,5,6,7],[3,4,8]] => [[1,2,3,4,7,8],[5,6]] => [[1,2,3,6,7,8],[4,5]] => {{1,2,3,6,7,8},{4,5}}
[[1,3,4,6,7],[2,5,8]] => [[1,2,4,5,7,8],[3,6]] => [[1,3,4,6,7,8],[2,5]] => {{1,3,4,6,7,8},{2,5}}
[[1,2,4,6,7],[3,5,8]] => [[1,2,3,5,7,8],[4,6]] => [[1,2,4,6,7,8],[3,5]] => {{1,2,4,6,7,8},{3,5}}
[[1,2,3,6,7],[4,5,8]] => [[1,2,3,4,5,8],[6,7]] => [[1,2,3,4,7,8],[5,6]] => {{1,2,3,4,7,8},{5,6}}
[[1,3,4,5,7],[2,6,8]] => [[1,2,4,5,6,8],[3,7]] => [[1,3,4,5,7,8],[2,6]] => {{1,3,4,5,7,8},{2,6}}
[[1,2,4,5,7],[3,6,8]] => [[1,2,3,5,6,8],[4,7]] => [[1,2,4,5,7,8],[3,6]] => {{1,2,4,5,7,8},{3,6}}
[[1,2,3,5,7],[4,6,8]] => [[1,2,3,4,6,8],[5,7]] => [[1,2,3,5,7,8],[4,6]] => {{1,2,3,5,7,8},{4,6}}
[[1,2,3,4,7],[5,6,8]] => [[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,7,8],[6]] => {{1,2,3,4,5,7,8},{6}}
[[1,3,4,5,6],[2,7,8]] => [[1,2,4,5,6,7,8],[3]] => [[1,3,4,5,6,7,8],[2]] => {{1,3,4,5,6,7,8},{2}}
[[1,2,4,5,6],[3,7,8]] => [[1,2,3,5,6,7,8],[4]] => [[1,2,4,5,6,7,8],[3]] => {{1,2,4,5,6,7,8},{3}}
[[1,2,3,5,6],[4,7,8]] => [[1,2,3,4,6,7,8],[5]] => [[1,2,3,5,6,7,8],[4]] => {{1,2,3,5,6,7,8},{4}}
[[1,2,3,4,6],[5,7,8]] => [[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => {{1,2,3,4,6,7,8},{5}}
[[1,2,3,4,5],[6,7,8]] => [[1,2,3,4,5,6,7,8]] => [[1,2,3,4,5,6,7,8]] => {{1,2,3,4,5,6,7,8}}
[[1,4,6,7,8],[2,5],[3]] => [[1,2,5,7,8],[3,6],[4]] => [[1,4,6,7,8],[2,5],[3]] => {{1,4,6,7,8},{2,5},{3}}
[[1,3,6,7,8],[2,5],[4]] => [[1,2,4,5,8],[3,7],[6]] => [[1,3,4,7,8],[2,6],[5]] => {{1,3,4,7,8},{2,6},{5}}
[[1,2,6,7,8],[3,5],[4]] => [[1,2,3,5,8],[4,7],[6]] => [[1,2,4,7,8],[3,6],[5]] => {{1,2,4,7,8},{3,6},{5}}
[[1,3,6,7,8],[2,4],[5]] => [[1,2,4,7,8],[3,5],[6]] => [[1,3,6,7,8],[2,4],[5]] => {{1,3,6,7,8},{2,4},{5}}
[[1,2,6,7,8],[3,4],[5]] => [[1,2,3,4,8],[5,7],[6]] => [[1,2,3,7,8],[4,6],[5]] => {{1,2,3,7,8},{4,6},{5}}
[[1,4,5,7,8],[2,6],[3]] => [[1,2,5,6,8],[3,7],[4]] => [[1,4,5,7,8],[2,6],[3]] => {{1,4,5,7,8},{2,6},{3}}
[[1,3,5,7,8],[2,6],[4]] => [[1,2,4,6,8],[3,7],[5]] => [[1,3,5,7,8],[2,6],[4]] => {{1,3,5,7,8},{2,6},{4}}
[[1,2,5,7,8],[3,6],[4]] => [[1,2,3,6,8],[4,7],[5]] => [[1,2,5,7,8],[3,6],[4]] => {{1,2,5,7,8},{3,6},{4}}
[[1,3,4,7,8],[2,6],[5]] => [[1,2,4,5,6],[3,8],[7]] => [[1,3,4,5,8],[2,7],[6]] => {{1,3,4,5,8},{2,7},{6}}
[[1,2,4,7,8],[3,6],[5]] => [[1,2,3,5,6],[4,8],[7]] => [[1,2,4,5,8],[3,7],[6]] => {{1,2,4,5,8},{3,7},{6}}
[[1,2,3,7,8],[4,6],[5]] => [[1,2,3,4,6],[5,8],[7]] => [[1,2,3,5,8],[4,7],[6]] => {{1,2,3,5,8},{4,7},{6}}
[[1,3,5,7,8],[2,4],[6]] => [[1,2,4,6,8],[3,5],[7]] => [[1,3,5,7,8],[2,4],[6]] => {{1,3,5,7,8},{2,4},{6}}
[[1,2,5,7,8],[3,4],[6]] => [[1,2,3,4,8],[5,6],[7]] => [[1,2,3,7,8],[4,5],[6]] => {{1,2,3,7,8},{4,5},{6}}
[[1,3,4,7,8],[2,5],[6]] => [[1,2,4,5,8],[3,6],[7]] => [[1,3,4,7,8],[2,5],[6]] => {{1,3,4,7,8},{2,5},{6}}
[[1,2,4,7,8],[3,5],[6]] => [[1,2,3,5,8],[4,6],[7]] => [[1,2,4,7,8],[3,5],[6]] => {{1,2,4,7,8},{3,5},{6}}
[[1,2,3,7,8],[4,5],[6]] => [[1,2,3,4,5],[6,8],[7]] => [[1,2,3,4,8],[5,7],[6]] => {{1,2,3,4,8},{5,7},{6}}
[[1,4,5,6,8],[2,7],[3]] => [[1,2,5,6,7],[3,8],[4]] => [[1,4,5,6,8],[2,7],[3]] => {{1,4,5,6,8},{2,7},{3}}
[[1,3,5,6,8],[2,7],[4]] => [[1,2,4,6,7],[3,8],[5]] => [[1,3,5,6,8],[2,7],[4]] => {{1,3,5,6,8},{2,7},{4}}
[[1,2,5,6,8],[3,7],[4]] => [[1,2,3,6,7],[4,8],[5]] => [[1,2,5,6,8],[3,7],[4]] => {{1,2,5,6,8},{3,7},{4}}
[[1,3,4,6,8],[2,7],[5]] => [[1,2,4,5,7],[3,8],[6]] => [[1,3,4,6,8],[2,7],[5]] => {{1,3,4,6,8},{2,7},{5}}
[[1,2,4,6,8],[3,7],[5]] => [[1,2,3,5,7],[4,8],[6]] => [[1,2,4,6,8],[3,7],[5]] => {{1,2,4,6,8},{3,7},{5}}
[[1,2,3,6,8],[4,7],[5]] => [[1,2,3,4,7],[5,8],[6]] => [[1,2,3,6,8],[4,7],[5]] => {{1,2,3,6,8},{4,7},{5}}
[[1,3,4,5,8],[2,7],[6]] => [[1,2,4,5,6,7],[3],[8]] => [[1,3,4,5,6,8],[2],[7]] => {{1,3,4,5,6,8},{2},{7}}
[[1,2,4,5,8],[3,7],[6]] => [[1,2,3,5,6,7],[4],[8]] => [[1,2,4,5,6,8],[3],[7]] => {{1,2,4,5,6,8},{3},{7}}
[[1,2,3,5,8],[4,7],[6]] => [[1,2,3,4,6,7],[5],[8]] => [[1,2,3,5,6,8],[4],[7]] => {{1,2,3,5,6,8},{4},{7}}
[[1,2,3,4,8],[5,7],[6]] => [[1,2,3,4,5,7],[6],[8]] => [[1,2,3,4,6,8],[5],[7]] => {{1,2,3,4,6,8},{5},{7}}
[[1,3,5,6,8],[2,4],[7]] => [[1,2,4,6,7],[3,5],[8]] => [[1,3,5,6,8],[2,4],[7]] => {{1,3,5,6,8},{2,4},{7}}
[[1,2,5,6,8],[3,4],[7]] => [[1,2,3,4,7],[5,6],[8]] => [[1,2,3,6,8],[4,5],[7]] => {{1,2,3,6,8},{4,5},{7}}
[[1,3,4,6,8],[2,5],[7]] => [[1,2,4,5,7],[3,6],[8]] => [[1,3,4,6,8],[2,5],[7]] => {{1,3,4,6,8},{2,5},{7}}
[[1,2,4,6,8],[3,5],[7]] => [[1,2,3,5,7],[4,6],[8]] => [[1,2,4,6,8],[3,5],[7]] => {{1,2,4,6,8},{3,5},{7}}
[[1,2,3,6,8],[4,5],[7]] => [[1,2,3,4,5],[6,7],[8]] => [[1,2,3,4,8],[5,6],[7]] => {{1,2,3,4,8},{5,6},{7}}
[[1,3,4,5,8],[2,6],[7]] => [[1,2,4,5,6],[3,7],[8]] => [[1,3,4,5,8],[2,6],[7]] => {{1,3,4,5,8},{2,6},{7}}
[[1,2,4,5,8],[3,6],[7]] => [[1,2,3,5,6],[4,7],[8]] => [[1,2,4,5,8],[3,6],[7]] => {{1,2,4,5,8},{3,6},{7}}
[[1,2,3,5,8],[4,6],[7]] => [[1,2,3,4,6],[5,7],[8]] => [[1,2,3,5,8],[4,6],[7]] => {{1,2,3,5,8},{4,6},{7}}
[[1,2,3,4,8],[5,6],[7]] => [[1,2,3,4,5,6],[7],[8]] => [[1,2,3,4,5,8],[6],[7]] => {{1,2,3,4,5,8},{6},{7}}
[[1,4,5,6,7],[2,8],[3]] => [[1,2,5,6,7,8],[3],[4]] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}}
[[1,3,5,6,7],[2,8],[4]] => [[1,2,4,6,7,8],[3],[5]] => [[1,3,5,6,7,8],[2],[4]] => {{1,3,5,6,7,8},{2},{4}}
[[1,2,5,6,7],[3,8],[4]] => [[1,2,3,6,7,8],[4],[5]] => [[1,2,5,6,7,8],[3],[4]] => {{1,2,5,6,7,8},{3},{4}}
[[1,3,4,6,7],[2,8],[5]] => [[1,2,4,5,7,8],[3],[6]] => [[1,3,4,6,7,8],[2],[5]] => {{1,3,4,6,7,8},{2},{5}}
[[1,2,4,6,7],[3,8],[5]] => [[1,2,3,5,7,8],[4],[6]] => [[1,2,4,6,7,8],[3],[5]] => {{1,2,4,6,7,8},{3},{5}}
[[1,2,3,6,7],[4,8],[5]] => [[1,2,3,4,7,8],[5],[6]] => [[1,2,3,6,7,8],[4],[5]] => {{1,2,3,6,7,8},{4},{5}}
[[1,3,4,5,7],[2,8],[6]] => [[1,2,4,5,6,8],[3],[7]] => [[1,3,4,5,7,8],[2],[6]] => {{1,3,4,5,7,8},{2},{6}}
[[1,2,4,5,7],[3,8],[6]] => [[1,2,3,5,6,8],[4],[7]] => [[1,2,4,5,7,8],[3],[6]] => {{1,2,4,5,7,8},{3},{6}}
[[1,2,3,5,7],[4,8],[6]] => [[1,2,3,4,6,8],[5],[7]] => [[1,2,3,5,7,8],[4],[6]] => {{1,2,3,5,7,8},{4},{6}}
[[1,2,3,4,7],[5,8],[6]] => [[1,2,3,4,5,8],[6],[7]] => [[1,2,3,4,7,8],[5],[6]] => {{1,2,3,4,7,8},{5},{6}}
[[1,3,4,5,6],[2,8],[7]] => [[1,2,4,5,6,7,8],[3]] => [[1,3,4,5,6,7,8],[2]] => {{1,3,4,5,6,7,8},{2}}
[[1,2,4,5,6],[3,8],[7]] => [[1,2,3,5,6,7,8],[4]] => [[1,2,4,5,6,7,8],[3]] => {{1,2,4,5,6,7,8},{3}}
[[1,2,3,5,6],[4,8],[7]] => [[1,2,3,4,6,7,8],[5]] => [[1,2,3,5,6,7,8],[4]] => {{1,2,3,5,6,7,8},{4}}
[[1,2,3,4,6],[5,8],[7]] => [[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => {{1,2,3,4,6,7,8},{5}}
[[1,2,3,4,5],[6,8],[7]] => [[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,7,8],[6]] => {{1,2,3,4,5,7,8},{6}}
[[1,3,5,6,7],[2,4],[8]] => [[1,2,4,6,7,8],[3,5]] => [[1,3,5,6,7,8],[2,4]] => {{1,3,5,6,7,8},{2,4}}
[[1,2,5,6,7],[3,4],[8]] => [[1,2,3,4,7,8],[5,6]] => [[1,2,3,6,7,8],[4,5]] => {{1,2,3,6,7,8},{4,5}}
[[1,3,4,6,7],[2,5],[8]] => [[1,2,4,5,7,8],[3,6]] => [[1,3,4,6,7,8],[2,5]] => {{1,3,4,6,7,8},{2,5}}
[[1,2,4,6,7],[3,5],[8]] => [[1,2,3,5,7,8],[4,6]] => [[1,2,4,6,7,8],[3,5]] => {{1,2,4,6,7,8},{3,5}}
[[1,2,3,6,7],[4,5],[8]] => [[1,2,3,4,5,8],[6,7]] => [[1,2,3,4,7,8],[5,6]] => {{1,2,3,4,7,8},{5,6}}
[[1,3,4,5,7],[2,6],[8]] => [[1,2,4,5,6,8],[3,7]] => [[1,3,4,5,7,8],[2,6]] => {{1,3,4,5,7,8},{2,6}}
[[1,2,4,5,7],[3,6],[8]] => [[1,2,3,5,6,8],[4,7]] => [[1,2,4,5,7,8],[3,6]] => {{1,2,4,5,7,8},{3,6}}
[[1,2,3,5,7],[4,6],[8]] => [[1,2,3,4,6,8],[5,7]] => [[1,2,3,5,7,8],[4,6]] => {{1,2,3,5,7,8},{4,6}}
[[1,2,3,4,7],[5,6],[8]] => [[1,2,3,4,5,6],[7,8]] => [[1,2,3,4,5,8],[6,7]] => {{1,2,3,4,5,8},{6,7}}
[[1,3,4,5,6],[2,7],[8]] => [[1,2,4,5,6,7],[3,8]] => [[1,3,4,5,6,8],[2,7]] => {{1,3,4,5,6,8},{2,7}}
[[1,2,4,5,6],[3,7],[8]] => [[1,2,3,5,6,7],[4,8]] => [[1,2,4,5,6,8],[3,7]] => {{1,2,4,5,6,8},{3,7}}
[[1,2,3,5,6],[4,7],[8]] => [[1,2,3,4,6,7],[5,8]] => [[1,2,3,5,6,8],[4,7]] => {{1,2,3,5,6,8},{4,7}}
[[1,2,3,4,6],[5,7],[8]] => [[1,2,3,4,5,7],[6,8]] => [[1,2,3,4,6,8],[5,7]] => {{1,2,3,4,6,8},{5,7}}
[[1,2,3,4,5],[6,7],[8]] => [[1,2,3,4,5,6,7],[8]] => [[1,2,3,4,5,6,8],[7]] => {{1,2,3,4,5,6,8},{7}}
[[1,5,6,7,8],[2],[3],[4]] => [[1,2,6,7,8],[3],[4],[5]] => [[1,5,6,7,8],[2],[3],[4]] => {{1,5,6,7,8},{2},{3},{4}}
[[1,4,6,7,8],[2],[3],[5]] => [[1,2,5,7,8],[3],[4],[6]] => [[1,4,6,7,8],[2],[3],[5]] => {{1,4,6,7,8},{2},{3},{5}}
[[1,3,6,7,8],[2],[4],[5]] => [[1,2,4,7,8],[3],[5],[6]] => [[1,3,6,7,8],[2],[4],[5]] => {{1,3,6,7,8},{2},{4},{5}}
[[1,2,6,7,8],[3],[4],[5]] => [[1,2,3,7,8],[4],[5],[6]] => [[1,2,6,7,8],[3],[4],[5]] => {{1,2,6,7,8},{3},{4},{5}}
[[1,4,5,7,8],[2],[3],[6]] => [[1,2,5,6,8],[3],[4],[7]] => [[1,4,5,7,8],[2],[3],[6]] => {{1,4,5,7,8},{2},{3},{6}}
[[1,3,5,7,8],[2],[4],[6]] => [[1,2,4,6,8],[3],[5],[7]] => [[1,3,5,7,8],[2],[4],[6]] => {{1,3,5,7,8},{2},{4},{6}}
[[1,2,5,7,8],[3],[4],[6]] => [[1,2,3,6,8],[4],[5],[7]] => [[1,2,5,7,8],[3],[4],[6]] => {{1,2,5,7,8},{3},{4},{6}}
[[1,3,4,7,8],[2],[5],[6]] => [[1,2,4,5,8],[3],[6],[7]] => [[1,3,4,7,8],[2],[5],[6]] => {{1,3,4,7,8},{2},{5},{6}}
[[1,2,4,7,8],[3],[5],[6]] => [[1,2,3,5,8],[4],[6],[7]] => [[1,2,4,7,8],[3],[5],[6]] => {{1,2,4,7,8},{3},{5},{6}}
[[1,2,3,7,8],[4],[5],[6]] => [[1,2,3,4,8],[5],[6],[7]] => [[1,2,3,7,8],[4],[5],[6]] => {{1,2,3,7,8},{4},{5},{6}}
[[1,4,5,6,8],[2],[3],[7]] => [[1,2,5,6,7],[3],[4],[8]] => [[1,4,5,6,8],[2],[3],[7]] => {{1,4,5,6,8},{2},{3},{7}}
[[1,3,5,6,8],[2],[4],[7]] => [[1,2,4,6,7],[3],[5],[8]] => [[1,3,5,6,8],[2],[4],[7]] => {{1,3,5,6,8},{2},{4},{7}}
[[1,2,5,6,8],[3],[4],[7]] => [[1,2,3,6,7],[4],[5],[8]] => [[1,2,5,6,8],[3],[4],[7]] => {{1,2,5,6,8},{3},{4},{7}}
[[1,3,4,6,8],[2],[5],[7]] => [[1,2,4,5,7],[3],[6],[8]] => [[1,3,4,6,8],[2],[5],[7]] => {{1,3,4,6,8},{2},{5},{7}}
[[1,2,4,6,8],[3],[5],[7]] => [[1,2,3,5,7],[4],[6],[8]] => [[1,2,4,6,8],[3],[5],[7]] => {{1,2,4,6,8},{3},{5},{7}}
[[1,2,3,6,8],[4],[5],[7]] => [[1,2,3,4,7],[5],[6],[8]] => [[1,2,3,6,8],[4],[5],[7]] => {{1,2,3,6,8},{4},{5},{7}}
[[1,3,4,5,8],[2],[6],[7]] => [[1,2,4,5,6],[3],[7],[8]] => [[1,3,4,5,8],[2],[6],[7]] => {{1,3,4,5,8},{2},{6},{7}}
[[1,2,4,5,8],[3],[6],[7]] => [[1,2,3,5,6],[4],[7],[8]] => [[1,2,4,5,8],[3],[6],[7]] => {{1,2,4,5,8},{3},{6},{7}}
[[1,2,3,5,8],[4],[6],[7]] => [[1,2,3,4,6],[5],[7],[8]] => [[1,2,3,5,8],[4],[6],[7]] => {{1,2,3,5,8},{4},{6},{7}}
[[1,2,3,4,8],[5],[6],[7]] => [[1,2,3,4,5],[6],[7],[8]] => [[1,2,3,4,8],[5],[6],[7]] => {{1,2,3,4,8},{5},{6},{7}}
[[1,4,5,6,7],[2],[3],[8]] => [[1,2,5,6,7,8],[3],[4]] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}}
[[1,3,5,6,7],[2],[4],[8]] => [[1,2,4,6,7,8],[3],[5]] => [[1,3,5,6,7,8],[2],[4]] => {{1,3,5,6,7,8},{2},{4}}
[[1,2,5,6,7],[3],[4],[8]] => [[1,2,3,6,7,8],[4],[5]] => [[1,2,5,6,7,8],[3],[4]] => {{1,2,5,6,7,8},{3},{4}}
[[1,3,4,6,7],[2],[5],[8]] => [[1,2,4,5,7,8],[3],[6]] => [[1,3,4,6,7,8],[2],[5]] => {{1,3,4,6,7,8},{2},{5}}
[[1,2,4,6,7],[3],[5],[8]] => [[1,2,3,5,7,8],[4],[6]] => [[1,2,4,6,7,8],[3],[5]] => {{1,2,4,6,7,8},{3},{5}}
[[1,2,3,6,7],[4],[5],[8]] => [[1,2,3,4,7,8],[5],[6]] => [[1,2,3,6,7,8],[4],[5]] => {{1,2,3,6,7,8},{4},{5}}
[[1,3,4,5,7],[2],[6],[8]] => [[1,2,4,5,6,8],[3],[7]] => [[1,3,4,5,7,8],[2],[6]] => {{1,3,4,5,7,8},{2},{6}}
[[1,2,4,5,7],[3],[6],[8]] => [[1,2,3,5,6,8],[4],[7]] => [[1,2,4,5,7,8],[3],[6]] => {{1,2,4,5,7,8},{3},{6}}
[[1,2,3,5,7],[4],[6],[8]] => [[1,2,3,4,6,8],[5],[7]] => [[1,2,3,5,7,8],[4],[6]] => {{1,2,3,5,7,8},{4},{6}}
[[1,2,3,4,7],[5],[6],[8]] => [[1,2,3,4,5,8],[6],[7]] => [[1,2,3,4,7,8],[5],[6]] => {{1,2,3,4,7,8},{5},{6}}
[[1,3,4,5,6],[2],[7],[8]] => [[1,2,4,5,6,7],[3],[8]] => [[1,3,4,5,6,8],[2],[7]] => {{1,3,4,5,6,8},{2},{7}}
[[1,2,4,5,6],[3],[7],[8]] => [[1,2,3,5,6,7],[4],[8]] => [[1,2,4,5,6,8],[3],[7]] => {{1,2,4,5,6,8},{3},{7}}
[[1,2,3,5,6],[4],[7],[8]] => [[1,2,3,4,6,7],[5],[8]] => [[1,2,3,5,6,8],[4],[7]] => {{1,2,3,5,6,8},{4},{7}}
[[1,2,3,4,6],[5],[7],[8]] => [[1,2,3,4,5,7],[6],[8]] => [[1,2,3,4,6,8],[5],[7]] => {{1,2,3,4,6,8},{5},{7}}
[[1,2,3,4,5],[6],[7],[8]] => [[1,2,3,4,5,6],[7],[8]] => [[1,2,3,4,5,8],[6],[7]] => {{1,2,3,4,5,8},{6},{7}}
[[1,3,5,7],[2,4,6,8]] => [[1,2,4,6,8],[3,5,7]] => [[1,3,5,7,8],[2,4,6]] => {{1,3,5,7,8},{2,4,6}}
[[1,2,5,7],[3,4,6,8]] => [[1,2,3,4,6,8],[5,7]] => [[1,2,3,5,7,8],[4,6]] => {{1,2,3,5,7,8},{4,6}}
[[1,3,4,7],[2,5,6,8]] => [[1,2,4,5,6,8],[3,7]] => [[1,3,4,5,7,8],[2,6]] => {{1,3,4,5,7,8},{2,6}}
[[1,2,4,7],[3,5,6,8]] => [[1,2,3,5,6,8],[4,7]] => [[1,2,4,5,7,8],[3,6]] => {{1,2,4,5,7,8},{3,6}}
[[1,2,3,7],[4,5,6,8]] => [[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,7,8],[6]] => {{1,2,3,4,5,7,8},{6}}
[[1,3,5,6],[2,4,7,8]] => [[1,2,4,6,7,8],[3,5]] => [[1,3,5,6,7,8],[2,4]] => {{1,3,5,6,7,8},{2,4}}
[[1,2,5,6],[3,4,7,8]] => [[1,2,3,4,7,8],[5,6]] => [[1,2,3,6,7,8],[4,5]] => {{1,2,3,6,7,8},{4,5}}
[[1,3,4,6],[2,5,7,8]] => [[1,2,4,5,7,8],[3,6]] => [[1,3,4,6,7,8],[2,5]] => {{1,3,4,6,7,8},{2,5}}
[[1,2,4,6],[3,5,7,8]] => [[1,2,3,5,7,8],[4,6]] => [[1,2,4,6,7,8],[3,5]] => {{1,2,4,6,7,8},{3,5}}
[[1,2,3,6],[4,5,7,8]] => [[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => {{1,2,3,4,6,7,8},{5}}
[[1,3,4,5],[2,6,7,8]] => [[1,2,4,5,6,7,8],[3]] => [[1,3,4,5,6,7,8],[2]] => {{1,3,4,5,6,7,8},{2}}
[[1,2,4,5],[3,6,7,8]] => [[1,2,3,5,6,7,8],[4]] => [[1,2,4,5,6,7,8],[3]] => {{1,2,4,5,6,7,8},{3}}
[[1,2,3,5],[4,6,7,8]] => [[1,2,3,4,6,7,8],[5]] => [[1,2,3,5,6,7,8],[4]] => {{1,2,3,5,6,7,8},{4}}
[[1,2,3,4],[5,6,7,8]] => [[1,2,3,4,5,6,7,8]] => [[1,2,3,4,5,6,7,8]] => {{1,2,3,4,5,6,7,8}}
[[1,4,6,8],[2,5,7],[3]] => [[1,2,5,7],[3,6,8],[4]] => [[1,4,6,8],[2,5,7],[3]] => {{1,4,6,8},{2,5,7},{3}}
[[1,3,6,8],[2,5,7],[4]] => [[1,2,4,5,7],[3,8],[6]] => [[1,3,4,6,8],[2,7],[5]] => {{1,3,4,6,8},{2,7},{5}}
[[1,2,6,8],[3,5,7],[4]] => [[1,2,3,5,7],[4,8],[6]] => [[1,2,4,6,8],[3,7],[5]] => {{1,2,4,6,8},{3,7},{5}}
[[1,3,6,8],[2,4,7],[5]] => [[1,2,4,7],[3,5,8],[6]] => [[1,3,6,8],[2,4,7],[5]] => {{1,3,6,8},{2,4,7},{5}}
[[1,2,6,8],[3,4,7],[5]] => [[1,2,3,4,7],[5,8],[6]] => [[1,2,3,6,8],[4,7],[5]] => {{1,2,3,6,8},{4,7},{5}}
[[1,4,5,8],[2,6,7],[3]] => [[1,2,5,6,7],[3,8],[4]] => [[1,4,5,6,8],[2,7],[3]] => {{1,4,5,6,8},{2,7},{3}}
[[1,3,5,8],[2,6,7],[4]] => [[1,2,4,6,7],[3,8],[5]] => [[1,3,5,6,8],[2,7],[4]] => {{1,3,5,6,8},{2,7},{4}}
[[1,2,5,8],[3,6,7],[4]] => [[1,2,3,6,7],[4,8],[5]] => [[1,2,5,6,8],[3,7],[4]] => {{1,2,5,6,8},{3,7},{4}}
[[1,3,4,8],[2,6,7],[5]] => [[1,2,4,5,6,7],[3],[8]] => [[1,3,4,5,6,8],[2],[7]] => {{1,3,4,5,6,8},{2},{7}}
[[1,2,4,8],[3,6,7],[5]] => [[1,2,3,5,6,7],[4],[8]] => [[1,2,4,5,6,8],[3],[7]] => {{1,2,4,5,6,8},{3},{7}}
[[1,2,3,8],[4,6,7],[5]] => [[1,2,3,4,6,7],[5],[8]] => [[1,2,3,5,6,8],[4],[7]] => {{1,2,3,5,6,8},{4},{7}}
[[1,3,5,8],[2,4,7],[6]] => [[1,2,4,6,7],[3,5],[8]] => [[1,3,5,6,8],[2,4],[7]] => {{1,3,5,6,8},{2,4},{7}}
[[1,2,5,8],[3,4,7],[6]] => [[1,2,3,4,7],[5,6],[8]] => [[1,2,3,6,8],[4,5],[7]] => {{1,2,3,6,8},{4,5},{7}}
[[1,3,4,8],[2,5,7],[6]] => [[1,2,4,5,7],[3,6],[8]] => [[1,3,4,6,8],[2,5],[7]] => {{1,3,4,6,8},{2,5},{7}}
[[1,2,4,8],[3,5,7],[6]] => [[1,2,3,5,7],[4,6],[8]] => [[1,2,4,6,8],[3,5],[7]] => {{1,2,4,6,8},{3,5},{7}}
[[1,2,3,8],[4,5,7],[6]] => [[1,2,3,4,5,7],[6],[8]] => [[1,2,3,4,6,8],[5],[7]] => {{1,2,3,4,6,8},{5},{7}}
[[1,3,5,8],[2,4,6],[7]] => [[1,2,4,6],[3,5,7],[8]] => [[1,3,5,8],[2,4,6],[7]] => {{1,3,5,8},{2,4,6},{7}}
[[1,2,5,8],[3,4,6],[7]] => [[1,2,3,4,6],[5,7],[8]] => [[1,2,3,5,8],[4,6],[7]] => {{1,2,3,5,8},{4,6},{7}}
[[1,3,4,8],[2,5,6],[7]] => [[1,2,4,5,6],[3,7],[8]] => [[1,3,4,5,8],[2,6],[7]] => {{1,3,4,5,8},{2,6},{7}}
[[1,2,4,8],[3,5,6],[7]] => [[1,2,3,5,6],[4,7],[8]] => [[1,2,4,5,8],[3,6],[7]] => {{1,2,4,5,8},{3,6},{7}}
[[1,2,3,8],[4,5,6],[7]] => [[1,2,3,4,5,6],[7],[8]] => [[1,2,3,4,5,8],[6],[7]] => {{1,2,3,4,5,8},{6},{7}}
[[1,4,6,7],[2,5,8],[3]] => [[1,2,5,7,8],[3,6],[4]] => [[1,4,6,7,8],[2,5],[3]] => {{1,4,6,7,8},{2,5},{3}}
[[1,3,6,7],[2,5,8],[4]] => [[1,2,4,5,8],[3,7],[6]] => [[1,3,4,7,8],[2,6],[5]] => {{1,3,4,7,8},{2,6},{5}}
[[1,2,6,7],[3,5,8],[4]] => [[1,2,3,5,8],[4,7],[6]] => [[1,2,4,7,8],[3,6],[5]] => {{1,2,4,7,8},{3,6},{5}}
[[1,3,6,7],[2,4,8],[5]] => [[1,2,4,7,8],[3,5],[6]] => [[1,3,6,7,8],[2,4],[5]] => {{1,3,6,7,8},{2,4},{5}}
[[1,2,6,7],[3,4,8],[5]] => [[1,2,3,4,8],[5,7],[6]] => [[1,2,3,7,8],[4,6],[5]] => {{1,2,3,7,8},{4,6},{5}}
[[1,4,5,7],[2,6,8],[3]] => [[1,2,5,6,8],[3,7],[4]] => [[1,4,5,7,8],[2,6],[3]] => {{1,4,5,7,8},{2,6},{3}}
[[1,3,5,7],[2,6,8],[4]] => [[1,2,4,6,8],[3,7],[5]] => [[1,3,5,7,8],[2,6],[4]] => {{1,3,5,7,8},{2,6},{4}}
[[1,2,5,7],[3,6,8],[4]] => [[1,2,3,6,8],[4,7],[5]] => [[1,2,5,7,8],[3,6],[4]] => {{1,2,5,7,8},{3,6},{4}}
[[1,3,4,7],[2,6,8],[5]] => [[1,2,4,5,6,8],[3],[7]] => [[1,3,4,5,7,8],[2],[6]] => {{1,3,4,5,7,8},{2},{6}}
[[1,2,4,7],[3,6,8],[5]] => [[1,2,3,5,6,8],[4],[7]] => [[1,2,4,5,7,8],[3],[6]] => {{1,2,4,5,7,8},{3},{6}}
[[1,2,3,7],[4,6,8],[5]] => [[1,2,3,4,6,8],[5],[7]] => [[1,2,3,5,7,8],[4],[6]] => {{1,2,3,5,7,8},{4},{6}}
[[1,3,5,7],[2,4,8],[6]] => [[1,2,4,6,8],[3,5],[7]] => [[1,3,5,7,8],[2,4],[6]] => {{1,3,5,7,8},{2,4},{6}}
[[1,2,5,7],[3,4,8],[6]] => [[1,2,3,4,8],[5,6],[7]] => [[1,2,3,7,8],[4,5],[6]] => {{1,2,3,7,8},{4,5},{6}}
[[1,3,4,7],[2,5,8],[6]] => [[1,2,4,5,8],[3,6],[7]] => [[1,3,4,7,8],[2,5],[6]] => {{1,3,4,7,8},{2,5},{6}}
[[1,2,4,7],[3,5,8],[6]] => [[1,2,3,5,8],[4,6],[7]] => [[1,2,4,7,8],[3,5],[6]] => {{1,2,4,7,8},{3,5},{6}}
[[1,2,3,7],[4,5,8],[6]] => [[1,2,3,4,5,8],[6],[7]] => [[1,2,3,4,7,8],[5],[6]] => {{1,2,3,4,7,8},{5},{6}}
[[1,4,5,6],[2,7,8],[3]] => [[1,2,5,6,7,8],[3],[4]] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}}
[[1,3,5,6],[2,7,8],[4]] => [[1,2,4,6,7,8],[3],[5]] => [[1,3,5,6,7,8],[2],[4]] => {{1,3,5,6,7,8},{2},{4}}
[[1,2,5,6],[3,7,8],[4]] => [[1,2,3,6,7,8],[4],[5]] => [[1,2,5,6,7,8],[3],[4]] => {{1,2,5,6,7,8},{3},{4}}
[[1,3,4,6],[2,7,8],[5]] => [[1,2,4,5,7,8],[3],[6]] => [[1,3,4,6,7,8],[2],[5]] => {{1,3,4,6,7,8},{2},{5}}
[[1,2,4,6],[3,7,8],[5]] => [[1,2,3,5,7,8],[4],[6]] => [[1,2,4,6,7,8],[3],[5]] => {{1,2,4,6,7,8},{3},{5}}
[[1,2,3,6],[4,7,8],[5]] => [[1,2,3,4,7,8],[5],[6]] => [[1,2,3,6,7,8],[4],[5]] => {{1,2,3,6,7,8},{4},{5}}
[[1,3,4,5],[2,7,8],[6]] => [[1,2,4,5,6,7,8],[3]] => [[1,3,4,5,6,7,8],[2]] => {{1,3,4,5,6,7,8},{2}}
[[1,2,4,5],[3,7,8],[6]] => [[1,2,3,5,6,7,8],[4]] => [[1,2,4,5,6,7,8],[3]] => {{1,2,4,5,6,7,8},{3}}
[[1,2,3,5],[4,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => [[1,2,3,5,6,7,8],[4]] => {{1,2,3,5,6,7,8},{4}}
[[1,2,3,4],[5,7,8],[6]] => [[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,6,7,8],[5]] => {{1,2,3,4,6,7,8},{5}}
[[1,3,5,6],[2,4,8],[7]] => [[1,2,4,6,7,8],[3,5]] => [[1,3,5,6,7,8],[2,4]] => {{1,3,5,6,7,8},{2,4}}
[[1,2,5,6],[3,4,8],[7]] => [[1,2,3,4,7,8],[5,6]] => [[1,2,3,6,7,8],[4,5]] => {{1,2,3,6,7,8},{4,5}}
[[1,3,4,6],[2,5,8],[7]] => [[1,2,4,5,7,8],[3,6]] => [[1,3,4,6,7,8],[2,5]] => {{1,3,4,6,7,8},{2,5}}
[[1,2,4,6],[3,5,8],[7]] => [[1,2,3,5,7,8],[4,6]] => [[1,2,4,6,7,8],[3,5]] => {{1,2,4,6,7,8},{3,5}}
[[1,2,3,6],[4,5,8],[7]] => [[1,2,3,4,5,8],[6,7]] => [[1,2,3,4,7,8],[5,6]] => {{1,2,3,4,7,8},{5,6}}
[[1,3,4,5],[2,6,8],[7]] => [[1,2,4,5,6,8],[3,7]] => [[1,3,4,5,7,8],[2,6]] => {{1,3,4,5,7,8},{2,6}}
[[1,2,4,5],[3,6,8],[7]] => [[1,2,3,5,6,8],[4,7]] => [[1,2,4,5,7,8],[3,6]] => {{1,2,4,5,7,8},{3,6}}
[[1,2,3,5],[4,6,8],[7]] => [[1,2,3,4,6,8],[5,7]] => [[1,2,3,5,7,8],[4,6]] => {{1,2,3,5,7,8},{4,6}}
[[1,2,3,4],[5,6,8],[7]] => [[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,7,8],[6]] => {{1,2,3,4,5,7,8},{6}}
[[1,3,5,7],[2,4,6],[8]] => [[1,2,4,6,8],[3,5,7]] => [[1,3,5,7,8],[2,4,6]] => {{1,3,5,7,8},{2,4,6}}
[[1,2,5,7],[3,4,6],[8]] => [[1,2,3,4,6],[5,7,8]] => [[1,2,3,5,8],[4,6,7]] => {{1,2,3,5,8},{4,6,7}}
[[1,3,4,7],[2,5,6],[8]] => [[1,2,4,5,6],[3,7,8]] => [[1,3,4,5,8],[2,6,7]] => {{1,3,4,5,8},{2,6,7}}
[[1,2,4,7],[3,5,6],[8]] => [[1,2,3,5,6],[4,7,8]] => [[1,2,4,5,8],[3,6,7]] => {{1,2,4,5,8},{3,6,7}}
[[1,2,3,7],[4,5,6],[8]] => [[1,2,3,4,5,6],[7,8]] => [[1,2,3,4,5,8],[6,7]] => {{1,2,3,4,5,8},{6,7}}
[[1,3,5,6],[2,4,7],[8]] => [[1,2,4,6,7],[3,5,8]] => [[1,3,5,6,8],[2,4,7]] => {{1,3,5,6,8},{2,4,7}}
[[1,2,5,6],[3,4,7],[8]] => [[1,2,3,4,7],[5,6,8]] => [[1,2,3,6,8],[4,5,7]] => {{1,2,3,6,8},{4,5,7}}
[[1,3,4,6],[2,5,7],[8]] => [[1,2,4,5,7],[3,6,8]] => [[1,3,4,6,8],[2,5,7]] => {{1,3,4,6,8},{2,5,7}}
[[1,2,4,6],[3,5,7],[8]] => [[1,2,3,5,7],[4,6,8]] => [[1,2,4,6,8],[3,5,7]] => {{1,2,4,6,8},{3,5,7}}
[[1,2,3,6],[4,5,7],[8]] => [[1,2,3,4,5,7],[6,8]] => [[1,2,3,4,6,8],[5,7]] => {{1,2,3,4,6,8},{5,7}}
[[1,3,4,5],[2,6,7],[8]] => [[1,2,4,5,6,7],[3,8]] => [[1,3,4,5,6,8],[2,7]] => {{1,3,4,5,6,8},{2,7}}
[[1,2,4,5],[3,6,7],[8]] => [[1,2,3,5,6,7],[4,8]] => [[1,2,4,5,6,8],[3,7]] => {{1,2,4,5,6,8},{3,7}}
[[1,2,3,5],[4,6,7],[8]] => [[1,2,3,4,6,7],[5,8]] => [[1,2,3,5,6,8],[4,7]] => {{1,2,3,5,6,8},{4,7}}
[[1,2,3,4],[5,6,7],[8]] => [[1,2,3,4,5,6,7],[8]] => [[1,2,3,4,5,6,8],[7]] => {{1,2,3,4,5,6,8},{7}}
[[1,4,7,8],[2,5],[3,6]] => [[1,2,5,8],[3,6],[4,7]] => [[1,4,7,8],[2,5],[3,6]] => {{1,4,7,8},{2,5},{3,6}}
[[1,3,7,8],[2,5],[4,6]] => [[1,2,4,5],[3,6],[7,8]] => [[1,3,4,8],[2,5],[6,7]] => {{1,3,4,8},{2,5},{6,7}}
[[1,2,7,8],[3,5],[4,6]] => [[1,2,3,5],[4,6],[7,8]] => [[1,2,4,8],[3,5],[6,7]] => {{1,2,4,8},{3,5},{6,7}}
[[1,3,7,8],[2,4],[5,6]] => [[1,2,4,6],[3,5],[7,8]] => [[1,3,5,8],[2,4],[6,7]] => {{1,3,5,8},{2,4},{6,7}}
[[1,2,7,8],[3,4],[5,6]] => [[1,2,3,4],[5,6],[7,8]] => [[1,2,3,8],[4,5],[6,7]] => {{1,2,3,8},{4,5},{6,7}}
[[1,4,6,8],[2,5],[3,7]] => [[1,2,5,7],[3,6],[4,8]] => [[1,4,6,8],[2,5],[3,7]] => {{1,4,6,8},{2,5},{3,7}}
[[1,3,6,8],[2,5],[4,7]] => [[1,2,4,5],[3,7],[6,8]] => [[1,3,4,8],[2,6],[5,7]] => {{1,3,4,8},{2,6},{5,7}}
[[1,2,6,8],[3,5],[4,7]] => [[1,2,3,5],[4,7],[6,8]] => [[1,2,4,8],[3,6],[5,7]] => {{1,2,4,8},{3,6},{5,7}}
[[1,3,6,8],[2,4],[5,7]] => [[1,2,4,7],[3,5],[6,8]] => [[1,3,6,8],[2,4],[5,7]] => {{1,3,6,8},{2,4},{5,7}}
[[1,2,6,8],[3,4],[5,7]] => [[1,2,3,4],[5,7],[6,8]] => [[1,2,3,8],[4,6],[5,7]] => {{1,2,3,8},{4,6},{5,7}}
[[1,4,5,8],[2,6],[3,7]] => [[1,2,5,6],[3,7],[4,8]] => [[1,4,5,8],[2,6],[3,7]] => {{1,4,5,8},{2,6},{3,7}}
[[1,3,5,8],[2,6],[4,7]] => [[1,2,4,6],[3,7],[5,8]] => [[1,3,5,8],[2,6],[4,7]] => {{1,3,5,8},{2,6},{4,7}}
[[1,2,5,8],[3,6],[4,7]] => [[1,2,3,6],[4,7],[5,8]] => [[1,2,5,8],[3,6],[4,7]] => {{1,2,5,8},{3,6},{4,7}}
[[1,3,4,8],[2,6],[5,7]] => [[1,2,4,5,6],[3,7],[8]] => [[1,3,4,5,8],[2,6],[7]] => {{1,3,4,5,8},{2,6},{7}}
[[1,2,4,8],[3,6],[5,7]] => [[1,2,3,5,6],[4,7],[8]] => [[1,2,4,5,8],[3,6],[7]] => {{1,2,4,5,8},{3,6},{7}}
[[1,2,3,8],[4,6],[5,7]] => [[1,2,3,4,6],[5,7],[8]] => [[1,2,3,5,8],[4,6],[7]] => {{1,2,3,5,8},{4,6},{7}}
[[1,3,5,8],[2,4],[6,7]] => [[1,2,4,6,7],[3,5],[8]] => [[1,3,5,6,8],[2,4],[7]] => {{1,3,5,6,8},{2,4},{7}}
[[1,2,5,8],[3,4],[6,7]] => [[1,2,3,4,7],[5,6],[8]] => [[1,2,3,6,8],[4,5],[7]] => {{1,2,3,6,8},{4,5},{7}}
[[1,3,4,8],[2,5],[6,7]] => [[1,2,4,5,7],[3,6],[8]] => [[1,3,4,6,8],[2,5],[7]] => {{1,3,4,6,8},{2,5},{7}}
[[1,2,4,8],[3,5],[6,7]] => [[1,2,3,5,7],[4,6],[8]] => [[1,2,4,6,8],[3,5],[7]] => {{1,2,4,6,8},{3,5},{7}}
[[1,2,3,8],[4,5],[6,7]] => [[1,2,3,4,5],[6,7],[8]] => [[1,2,3,4,8],[5,6],[7]] => {{1,2,3,4,8},{5,6},{7}}
[[1,4,6,7],[2,5],[3,8]] => [[1,2,5,7,8],[3,6],[4]] => [[1,4,6,7,8],[2,5],[3]] => {{1,4,6,7,8},{2,5},{3}}
[[1,3,6,7],[2,5],[4,8]] => [[1,2,4,5,8],[3,7],[6]] => [[1,3,4,7,8],[2,6],[5]] => {{1,3,4,7,8},{2,6},{5}}
[[1,2,6,7],[3,5],[4,8]] => [[1,2,3,5,8],[4,7],[6]] => [[1,2,4,7,8],[3,6],[5]] => {{1,2,4,7,8},{3,6},{5}}
[[1,3,6,7],[2,4],[5,8]] => [[1,2,4,7,8],[3,5],[6]] => [[1,3,6,7,8],[2,4],[5]] => {{1,3,6,7,8},{2,4},{5}}
[[1,2,6,7],[3,4],[5,8]] => [[1,2,3,4,8],[5,7],[6]] => [[1,2,3,7,8],[4,6],[5]] => {{1,2,3,7,8},{4,6},{5}}
[[1,4,5,7],[2,6],[3,8]] => [[1,2,5,6,8],[3,7],[4]] => [[1,4,5,7,8],[2,6],[3]] => {{1,4,5,7,8},{2,6},{3}}
[[1,3,5,7],[2,6],[4,8]] => [[1,2,4,6,8],[3,7],[5]] => [[1,3,5,7,8],[2,6],[4]] => {{1,3,5,7,8},{2,6},{4}}
[[1,2,5,7],[3,6],[4,8]] => [[1,2,3,6,8],[4,7],[5]] => [[1,2,5,7,8],[3,6],[4]] => {{1,2,5,7,8},{3,6},{4}}
[[1,3,4,7],[2,6],[5,8]] => [[1,2,4,5,6],[3,8],[7]] => [[1,3,4,5,8],[2,7],[6]] => {{1,3,4,5,8},{2,7},{6}}
[[1,2,4,7],[3,6],[5,8]] => [[1,2,3,5,6],[4,8],[7]] => [[1,2,4,5,8],[3,7],[6]] => {{1,2,4,5,8},{3,7},{6}}
[[1,2,3,7],[4,6],[5,8]] => [[1,2,3,4,6],[5,8],[7]] => [[1,2,3,5,8],[4,7],[6]] => {{1,2,3,5,8},{4,7},{6}}
[[1,3,5,7],[2,4],[6,8]] => [[1,2,4,6,8],[3,5],[7]] => [[1,3,5,7,8],[2,4],[6]] => {{1,3,5,7,8},{2,4},{6}}
[[1,2,5,7],[3,4],[6,8]] => [[1,2,3,4,8],[5,6],[7]] => [[1,2,3,7,8],[4,5],[6]] => {{1,2,3,7,8},{4,5},{6}}
[[1,3,4,7],[2,5],[6,8]] => [[1,2,4,5,8],[3,6],[7]] => [[1,3,4,7,8],[2,5],[6]] => {{1,3,4,7,8},{2,5},{6}}
[[1,2,4,7],[3,5],[6,8]] => [[1,2,3,5,8],[4,6],[7]] => [[1,2,4,7,8],[3,5],[6]] => {{1,2,4,7,8},{3,5},{6}}
[[1,2,3,7],[4,5],[6,8]] => [[1,2,3,4,5],[6,8],[7]] => [[1,2,3,4,8],[5,7],[6]] => {{1,2,3,4,8},{5,7},{6}}
[[1,4,5,6],[2,7],[3,8]] => [[1,2,5,6,7],[3,8],[4]] => [[1,4,5,6,8],[2,7],[3]] => {{1,4,5,6,8},{2,7},{3}}
[[1,3,5,6],[2,7],[4,8]] => [[1,2,4,6,7],[3,8],[5]] => [[1,3,5,6,8],[2,7],[4]] => {{1,3,5,6,8},{2,7},{4}}
[[1,2,5,6],[3,7],[4,8]] => [[1,2,3,6,7],[4,8],[5]] => [[1,2,5,6,8],[3,7],[4]] => {{1,2,5,6,8},{3,7},{4}}
[[1,3,4,6],[2,7],[5,8]] => [[1,2,4,5,7],[3,8],[6]] => [[1,3,4,6,8],[2,7],[5]] => {{1,3,4,6,8},{2,7},{5}}
[[1,2,4,6],[3,7],[5,8]] => [[1,2,3,5,7],[4,8],[6]] => [[1,2,4,6,8],[3,7],[5]] => {{1,2,4,6,8},{3,7},{5}}
[[1,2,3,6],[4,7],[5,8]] => [[1,2,3,4,7],[5,8],[6]] => [[1,2,3,6,8],[4,7],[5]] => {{1,2,3,6,8},{4,7},{5}}
[[1,3,4,5],[2,7],[6,8]] => [[1,2,4,5,6,7],[3,8]] => [[1,3,4,5,6,8],[2,7]] => {{1,3,4,5,6,8},{2,7}}
[[1,2,4,5],[3,7],[6,8]] => [[1,2,3,5,6,7],[4,8]] => [[1,2,4,5,6,8],[3,7]] => {{1,2,4,5,6,8},{3,7}}
[[1,2,3,5],[4,7],[6,8]] => [[1,2,3,4,6,7],[5,8]] => [[1,2,3,5,6,8],[4,7]] => {{1,2,3,5,6,8},{4,7}}
[[1,2,3,4],[5,7],[6,8]] => [[1,2,3,4,5,7],[6,8]] => [[1,2,3,4,6,8],[5,7]] => {{1,2,3,4,6,8},{5,7}}
[[1,3,5,6],[2,4],[7,8]] => [[1,2,4,6,7,8],[3,5]] => [[1,3,5,6,7,8],[2,4]] => {{1,3,5,6,7,8},{2,4}}
[[1,2,5,6],[3,4],[7,8]] => [[1,2,3,4,7,8],[5,6]] => [[1,2,3,6,7,8],[4,5]] => {{1,2,3,6,7,8},{4,5}}
[[1,3,4,6],[2,5],[7,8]] => [[1,2,4,5,7,8],[3,6]] => [[1,3,4,6,7,8],[2,5]] => {{1,3,4,6,7,8},{2,5}}
[[1,2,4,6],[3,5],[7,8]] => [[1,2,3,5,7,8],[4,6]] => [[1,2,4,6,7,8],[3,5]] => {{1,2,4,6,7,8},{3,5}}
[[1,2,3,6],[4,5],[7,8]] => [[1,2,3,4,5,8],[6,7]] => [[1,2,3,4,7,8],[5,6]] => {{1,2,3,4,7,8},{5,6}}
[[1,3,4,5],[2,6],[7,8]] => [[1,2,4,5,6,8],[3,7]] => [[1,3,4,5,7,8],[2,6]] => {{1,3,4,5,7,8},{2,6}}
[[1,2,4,5],[3,6],[7,8]] => [[1,2,3,5,6,8],[4,7]] => [[1,2,4,5,7,8],[3,6]] => {{1,2,4,5,7,8},{3,6}}
[[1,2,3,5],[4,6],[7,8]] => [[1,2,3,4,6,8],[5,7]] => [[1,2,3,5,7,8],[4,6]] => {{1,2,3,5,7,8},{4,6}}
[[1,2,3,4],[5,6],[7,8]] => [[1,2,3,4,5,6],[7,8]] => [[1,2,3,4,5,8],[6,7]] => {{1,2,3,4,5,8},{6,7}}
[[1,5,7,8],[2,6],[3],[4]] => [[1,2,6,8],[3,7],[4],[5]] => [[1,5,7,8],[2,6],[3],[4]] => {{1,5,7,8},{2,6},{3},{4}}
[[1,4,7,8],[2,6],[3],[5]] => [[1,2,5,6],[3,8],[4],[7]] => [[1,4,5,8],[2,7],[3],[6]] => {{1,4,5,8},{2,7},{3},{6}}
[[1,3,7,8],[2,6],[4],[5]] => [[1,2,4,6],[3,8],[5],[7]] => [[1,3,5,8],[2,7],[4],[6]] => {{1,3,5,8},{2,7},{4},{6}}
[[1,2,7,8],[3,6],[4],[5]] => [[1,2,3,6],[4,8],[5],[7]] => [[1,2,5,8],[3,7],[4],[6]] => {{1,2,5,8},{3,7},{4},{6}}
[[1,4,7,8],[2,5],[3],[6]] => [[1,2,5,8],[3,6],[4],[7]] => [[1,4,7,8],[2,5],[3],[6]] => {{1,4,7,8},{2,5},{3},{6}}
[[1,3,7,8],[2,5],[4],[6]] => [[1,2,4,5],[3,8],[6],[7]] => [[1,3,4,8],[2,7],[5],[6]] => {{1,3,4,8},{2,7},{5},{6}}
[[1,2,7,8],[3,5],[4],[6]] => [[1,2,3,5],[4,8],[6],[7]] => [[1,2,4,8],[3,7],[5],[6]] => {{1,2,4,8},{3,7},{5},{6}}
[[1,3,7,8],[2,4],[5],[6]] => [[1,2,4,8],[3,5],[6],[7]] => [[1,3,7,8],[2,4],[5],[6]] => {{1,3,7,8},{2,4},{5},{6}}
[[1,2,7,8],[3,4],[5],[6]] => [[1,2,3,4],[5,8],[6],[7]] => [[1,2,3,8],[4,7],[5],[6]] => {{1,2,3,8},{4,7},{5},{6}}
[[1,5,6,8],[2,7],[3],[4]] => [[1,2,6,7],[3,8],[4],[5]] => [[1,5,6,8],[2,7],[3],[4]] => {{1,5,6,8},{2,7},{3},{4}}
[[1,4,6,8],[2,7],[3],[5]] => [[1,2,5,7],[3,8],[4],[6]] => [[1,4,6,8],[2,7],[3],[5]] => {{1,4,6,8},{2,7},{3},{5}}
[[1,3,6,8],[2,7],[4],[5]] => [[1,2,4,7],[3,8],[5],[6]] => [[1,3,6,8],[2,7],[4],[5]] => {{1,3,6,8},{2,7},{4},{5}}
[[1,2,6,8],[3,7],[4],[5]] => [[1,2,3,7],[4,8],[5],[6]] => [[1,2,6,8],[3,7],[4],[5]] => {{1,2,6,8},{3,7},{4},{5}}
[[1,4,5,8],[2,7],[3],[6]] => [[1,2,5,6,7],[3],[4],[8]] => [[1,4,5,6,8],[2],[3],[7]] => {{1,4,5,6,8},{2},{3},{7}}
[[1,3,5,8],[2,7],[4],[6]] => [[1,2,4,6,7],[3],[5],[8]] => [[1,3,5,6,8],[2],[4],[7]] => {{1,3,5,6,8},{2},{4},{7}}
[[1,2,5,8],[3,7],[4],[6]] => [[1,2,3,6,7],[4],[5],[8]] => [[1,2,5,6,8],[3],[4],[7]] => {{1,2,5,6,8},{3},{4},{7}}
[[1,3,4,8],[2,7],[5],[6]] => [[1,2,4,5,7],[3],[6],[8]] => [[1,3,4,6,8],[2],[5],[7]] => {{1,3,4,6,8},{2},{5},{7}}
[[1,2,4,8],[3,7],[5],[6]] => [[1,2,3,5,7],[4],[6],[8]] => [[1,2,4,6,8],[3],[5],[7]] => {{1,2,4,6,8},{3},{5},{7}}
[[1,2,3,8],[4,7],[5],[6]] => [[1,2,3,4,7],[5],[6],[8]] => [[1,2,3,6,8],[4],[5],[7]] => {{1,2,3,6,8},{4},{5},{7}}
[[1,4,6,8],[2,5],[3],[7]] => [[1,2,5,7],[3,6],[4],[8]] => [[1,4,6,8],[2,5],[3],[7]] => {{1,4,6,8},{2,5},{3},{7}}
[[1,3,6,8],[2,5],[4],[7]] => [[1,2,4,5],[3,7],[6],[8]] => [[1,3,4,8],[2,6],[5],[7]] => {{1,3,4,8},{2,6},{5},{7}}
[[1,2,6,8],[3,5],[4],[7]] => [[1,2,3,5],[4,7],[6],[8]] => [[1,2,4,8],[3,6],[5],[7]] => {{1,2,4,8},{3,6},{5},{7}}
[[1,3,6,8],[2,4],[5],[7]] => [[1,2,4,7],[3,5],[6],[8]] => [[1,3,6,8],[2,4],[5],[7]] => {{1,3,6,8},{2,4},{5},{7}}
[[1,2,6,8],[3,4],[5],[7]] => [[1,2,3,4],[5,7],[6],[8]] => [[1,2,3,8],[4,6],[5],[7]] => {{1,2,3,8},{4,6},{5},{7}}
[[1,4,5,8],[2,6],[3],[7]] => [[1,2,5,6],[3,7],[4],[8]] => [[1,4,5,8],[2,6],[3],[7]] => {{1,4,5,8},{2,6},{3},{7}}
[[1,3,5,8],[2,6],[4],[7]] => [[1,2,4,6],[3,7],[5],[8]] => [[1,3,5,8],[2,6],[4],[7]] => {{1,3,5,8},{2,6},{4},{7}}
[[1,2,5,8],[3,6],[4],[7]] => [[1,2,3,6],[4,7],[5],[8]] => [[1,2,5,8],[3,6],[4],[7]] => {{1,2,5,8},{3,6},{4},{7}}
[[1,3,4,8],[2,6],[5],[7]] => [[1,2,4,5,6],[3],[7],[8]] => [[1,3,4,5,8],[2],[6],[7]] => {{1,3,4,5,8},{2},{6},{7}}
[[1,2,4,8],[3,6],[5],[7]] => [[1,2,3,5,6],[4],[7],[8]] => [[1,2,4,5,8],[3],[6],[7]] => {{1,2,4,5,8},{3},{6},{7}}
[[1,2,3,8],[4,6],[5],[7]] => [[1,2,3,4,6],[5],[7],[8]] => [[1,2,3,5,8],[4],[6],[7]] => {{1,2,3,5,8},{4},{6},{7}}
[[1,3,5,8],[2,4],[6],[7]] => [[1,2,4,6],[3,5],[7],[8]] => [[1,3,5,8],[2,4],[6],[7]] => {{1,3,5,8},{2,4},{6},{7}}
[[1,2,5,8],[3,4],[6],[7]] => [[1,2,3,4],[5,6],[7],[8]] => [[1,2,3,8],[4,5],[6],[7]] => {{1,2,3,8},{4,5},{6},{7}}
[[1,3,4,8],[2,5],[6],[7]] => [[1,2,4,5],[3,6],[7],[8]] => [[1,3,4,8],[2,5],[6],[7]] => {{1,3,4,8},{2,5},{6},{7}}
[[1,2,4,8],[3,5],[6],[7]] => [[1,2,3,5],[4,6],[7],[8]] => [[1,2,4,8],[3,5],[6],[7]] => {{1,2,4,8},{3,5},{6},{7}}
[[1,2,3,8],[4,5],[6],[7]] => [[1,2,3,4,5],[6],[7],[8]] => [[1,2,3,4,8],[5],[6],[7]] => {{1,2,3,4,8},{5},{6},{7}}
[[1,5,6,7],[2,8],[3],[4]] => [[1,2,6,7,8],[3],[4],[5]] => [[1,5,6,7,8],[2],[3],[4]] => {{1,5,6,7,8},{2},{3},{4}}
[[1,4,6,7],[2,8],[3],[5]] => [[1,2,5,7,8],[3],[4],[6]] => [[1,4,6,7,8],[2],[3],[5]] => {{1,4,6,7,8},{2},{3},{5}}
[[1,3,6,7],[2,8],[4],[5]] => [[1,2,4,7,8],[3],[5],[6]] => [[1,3,6,7,8],[2],[4],[5]] => {{1,3,6,7,8},{2},{4},{5}}
[[1,2,6,7],[3,8],[4],[5]] => [[1,2,3,7,8],[4],[5],[6]] => [[1,2,6,7,8],[3],[4],[5]] => {{1,2,6,7,8},{3},{4},{5}}
[[1,4,5,7],[2,8],[3],[6]] => [[1,2,5,6,8],[3],[4],[7]] => [[1,4,5,7,8],[2],[3],[6]] => {{1,4,5,7,8},{2},{3},{6}}
[[1,3,5,7],[2,8],[4],[6]] => [[1,2,4,6,8],[3],[5],[7]] => [[1,3,5,7,8],[2],[4],[6]] => {{1,3,5,7,8},{2},{4},{6}}
[[1,2,5,7],[3,8],[4],[6]] => [[1,2,3,6,8],[4],[5],[7]] => [[1,2,5,7,8],[3],[4],[6]] => {{1,2,5,7,8},{3},{4},{6}}
[[1,3,4,7],[2,8],[5],[6]] => [[1,2,4,5,8],[3],[6],[7]] => [[1,3,4,7,8],[2],[5],[6]] => {{1,3,4,7,8},{2},{5},{6}}
[[1,2,4,7],[3,8],[5],[6]] => [[1,2,3,5,8],[4],[6],[7]] => [[1,2,4,7,8],[3],[5],[6]] => {{1,2,4,7,8},{3},{5},{6}}
[[1,2,3,7],[4,8],[5],[6]] => [[1,2,3,4,8],[5],[6],[7]] => [[1,2,3,7,8],[4],[5],[6]] => {{1,2,3,7,8},{4},{5},{6}}
[[1,4,5,6],[2,8],[3],[7]] => [[1,2,5,6,7,8],[3],[4]] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}}
[[1,3,5,6],[2,8],[4],[7]] => [[1,2,4,6,7,8],[3],[5]] => [[1,3,5,6,7,8],[2],[4]] => {{1,3,5,6,7,8},{2},{4}}
[[1,2,5,6],[3,8],[4],[7]] => [[1,2,3,6,7,8],[4],[5]] => [[1,2,5,6,7,8],[3],[4]] => {{1,2,5,6,7,8},{3},{4}}
[[1,3,4,6],[2,8],[5],[7]] => [[1,2,4,5,7,8],[3],[6]] => [[1,3,4,6,7,8],[2],[5]] => {{1,3,4,6,7,8},{2},{5}}
[[1,2,4,6],[3,8],[5],[7]] => [[1,2,3,5,7,8],[4],[6]] => [[1,2,4,6,7,8],[3],[5]] => {{1,2,4,6,7,8},{3},{5}}
[[1,2,3,6],[4,8],[5],[7]] => [[1,2,3,4,7,8],[5],[6]] => [[1,2,3,6,7,8],[4],[5]] => {{1,2,3,6,7,8},{4},{5}}
[[1,3,4,5],[2,8],[6],[7]] => [[1,2,4,5,6,8],[3],[7]] => [[1,3,4,5,7,8],[2],[6]] => {{1,3,4,5,7,8},{2},{6}}
[[1,2,4,5],[3,8],[6],[7]] => [[1,2,3,5,6,8],[4],[7]] => [[1,2,4,5,7,8],[3],[6]] => {{1,2,4,5,7,8},{3},{6}}
[[1,2,3,5],[4,8],[6],[7]] => [[1,2,3,4,6,8],[5],[7]] => [[1,2,3,5,7,8],[4],[6]] => {{1,2,3,5,7,8},{4},{6}}
[[1,2,3,4],[5,8],[6],[7]] => [[1,2,3,4,5,8],[6],[7]] => [[1,2,3,4,7,8],[5],[6]] => {{1,2,3,4,7,8},{5},{6}}
[[1,4,6,7],[2,5],[3],[8]] => [[1,2,5,7,8],[3,6],[4]] => [[1,4,6,7,8],[2,5],[3]] => {{1,4,6,7,8},{2,5},{3}}
[[1,3,6,7],[2,5],[4],[8]] => [[1,2,4,5,8],[3,7],[6]] => [[1,3,4,7,8],[2,6],[5]] => {{1,3,4,7,8},{2,6},{5}}
[[1,2,6,7],[3,5],[4],[8]] => [[1,2,3,5,8],[4,7],[6]] => [[1,2,4,7,8],[3,6],[5]] => {{1,2,4,7,8},{3,6},{5}}
[[1,3,6,7],[2,4],[5],[8]] => [[1,2,4,7,8],[3,5],[6]] => [[1,3,6,7,8],[2,4],[5]] => {{1,3,6,7,8},{2,4},{5}}
[[1,2,6,7],[3,4],[5],[8]] => [[1,2,3,4,8],[5,7],[6]] => [[1,2,3,7,8],[4,6],[5]] => {{1,2,3,7,8},{4,6},{5}}
[[1,4,5,7],[2,6],[3],[8]] => [[1,2,5,6,8],[3,7],[4]] => [[1,4,5,7,8],[2,6],[3]] => {{1,4,5,7,8},{2,6},{3}}
[[1,3,5,7],[2,6],[4],[8]] => [[1,2,4,6,8],[3,7],[5]] => [[1,3,5,7,8],[2,6],[4]] => {{1,3,5,7,8},{2,6},{4}}
[[1,2,5,7],[3,6],[4],[8]] => [[1,2,3,6,8],[4,7],[5]] => [[1,2,5,7,8],[3,6],[4]] => {{1,2,5,7,8},{3,6},{4}}
[[1,3,4,7],[2,6],[5],[8]] => [[1,2,4,5,6],[3,8],[7]] => [[1,3,4,5,8],[2,7],[6]] => {{1,3,4,5,8},{2,7},{6}}
[[1,2,4,7],[3,6],[5],[8]] => [[1,2,3,5,6],[4,8],[7]] => [[1,2,4,5,8],[3,7],[6]] => {{1,2,4,5,8},{3,7},{6}}
[[1,2,3,7],[4,6],[5],[8]] => [[1,2,3,4,6],[5,8],[7]] => [[1,2,3,5,8],[4,7],[6]] => {{1,2,3,5,8},{4,7},{6}}
[[1,3,5,7],[2,4],[6],[8]] => [[1,2,4,6,8],[3,5],[7]] => [[1,3,5,7,8],[2,4],[6]] => {{1,3,5,7,8},{2,4},{6}}
[[1,2,5,7],[3,4],[6],[8]] => [[1,2,3,4,8],[5,6],[7]] => [[1,2,3,7,8],[4,5],[6]] => {{1,2,3,7,8},{4,5},{6}}
[[1,3,4,7],[2,5],[6],[8]] => [[1,2,4,5,8],[3,6],[7]] => [[1,3,4,7,8],[2,5],[6]] => {{1,3,4,7,8},{2,5},{6}}
[[1,2,4,7],[3,5],[6],[8]] => [[1,2,3,5,8],[4,6],[7]] => [[1,2,4,7,8],[3,5],[6]] => {{1,2,4,7,8},{3,5},{6}}
[[1,2,3,7],[4,5],[6],[8]] => [[1,2,3,4,5],[6,8],[7]] => [[1,2,3,4,8],[5,7],[6]] => {{1,2,3,4,8},{5,7},{6}}
[[1,4,5,6],[2,7],[3],[8]] => [[1,2,5,6,7],[3,8],[4]] => [[1,4,5,6,8],[2,7],[3]] => {{1,4,5,6,8},{2,7},{3}}
[[1,3,5,6],[2,7],[4],[8]] => [[1,2,4,6,7],[3,8],[5]] => [[1,3,5,6,8],[2,7],[4]] => {{1,3,5,6,8},{2,7},{4}}
[[1,2,5,6],[3,7],[4],[8]] => [[1,2,3,6,7],[4,8],[5]] => [[1,2,5,6,8],[3,7],[4]] => {{1,2,5,6,8},{3,7},{4}}
[[1,3,4,6],[2,7],[5],[8]] => [[1,2,4,5,7],[3,8],[6]] => [[1,3,4,6,8],[2,7],[5]] => {{1,3,4,6,8},{2,7},{5}}
[[1,2,4,6],[3,7],[5],[8]] => [[1,2,3,5,7],[4,8],[6]] => [[1,2,4,6,8],[3,7],[5]] => {{1,2,4,6,8},{3,7},{5}}
[[1,2,3,6],[4,7],[5],[8]] => [[1,2,3,4,7],[5,8],[6]] => [[1,2,3,6,8],[4,7],[5]] => {{1,2,3,6,8},{4,7},{5}}
[[1,3,4,5],[2,7],[6],[8]] => [[1,2,4,5,6,7],[3],[8]] => [[1,3,4,5,6,8],[2],[7]] => {{1,3,4,5,6,8},{2},{7}}
[[1,2,4,5],[3,7],[6],[8]] => [[1,2,3,5,6,7],[4],[8]] => [[1,2,4,5,6,8],[3],[7]] => {{1,2,4,5,6,8},{3},{7}}
[[1,2,3,5],[4,7],[6],[8]] => [[1,2,3,4,6,7],[5],[8]] => [[1,2,3,5,6,8],[4],[7]] => {{1,2,3,5,6,8},{4},{7}}
[[1,2,3,4],[5,7],[6],[8]] => [[1,2,3,4,5,7],[6],[8]] => [[1,2,3,4,6,8],[5],[7]] => {{1,2,3,4,6,8},{5},{7}}
[[1,3,5,6],[2,4],[7],[8]] => [[1,2,4,6,7],[3,5],[8]] => [[1,3,5,6,8],[2,4],[7]] => {{1,3,5,6,8},{2,4},{7}}
[[1,2,5,6],[3,4],[7],[8]] => [[1,2,3,4,7],[5,6],[8]] => [[1,2,3,6,8],[4,5],[7]] => {{1,2,3,6,8},{4,5},{7}}
[[1,3,4,6],[2,5],[7],[8]] => [[1,2,4,5,7],[3,6],[8]] => [[1,3,4,6,8],[2,5],[7]] => {{1,3,4,6,8},{2,5},{7}}
[[1,2,4,6],[3,5],[7],[8]] => [[1,2,3,5,7],[4,6],[8]] => [[1,2,4,6,8],[3,5],[7]] => {{1,2,4,6,8},{3,5},{7}}
[[1,2,3,6],[4,5],[7],[8]] => [[1,2,3,4,5],[6,7],[8]] => [[1,2,3,4,8],[5,6],[7]] => {{1,2,3,4,8},{5,6},{7}}
[[1,3,4,5],[2,6],[7],[8]] => [[1,2,4,5,6],[3,7],[8]] => [[1,3,4,5,8],[2,6],[7]] => {{1,3,4,5,8},{2,6},{7}}
[[1,2,4,5],[3,6],[7],[8]] => [[1,2,3,5,6],[4,7],[8]] => [[1,2,4,5,8],[3,6],[7]] => {{1,2,4,5,8},{3,6},{7}}
[[1,2,3,5],[4,6],[7],[8]] => [[1,2,3,4,6],[5,7],[8]] => [[1,2,3,5,8],[4,6],[7]] => {{1,2,3,5,8},{4,6},{7}}
[[1,2,3,4],[5,6],[7],[8]] => [[1,2,3,4,5,6],[7],[8]] => [[1,2,3,4,5,8],[6],[7]] => {{1,2,3,4,5,8},{6},{7}}
[[1,6,7,8],[2],[3],[4],[5]] => [[1,2,7,8],[3],[4],[5],[6]] => [[1,6,7,8],[2],[3],[4],[5]] => {{1,6,7,8},{2},{3},{4},{5}}
[[1,5,7,8],[2],[3],[4],[6]] => [[1,2,6,8],[3],[4],[5],[7]] => [[1,5,7,8],[2],[3],[4],[6]] => {{1,5,7,8},{2},{3},{4},{6}}
[[1,4,7,8],[2],[3],[5],[6]] => [[1,2,5,8],[3],[4],[6],[7]] => [[1,4,7,8],[2],[3],[5],[6]] => {{1,4,7,8},{2},{3},{5},{6}}
[[1,3,7,8],[2],[4],[5],[6]] => [[1,2,4,8],[3],[5],[6],[7]] => [[1,3,7,8],[2],[4],[5],[6]] => {{1,3,7,8},{2},{4},{5},{6}}
[[1,2,7,8],[3],[4],[5],[6]] => [[1,2,3,8],[4],[5],[6],[7]] => [[1,2,7,8],[3],[4],[5],[6]] => {{1,2,7,8},{3},{4},{5},{6}}
[[1,5,6,8],[2],[3],[4],[7]] => [[1,2,6,7],[3],[4],[5],[8]] => [[1,5,6,8],[2],[3],[4],[7]] => {{1,5,6,8},{2},{3},{4},{7}}
[[1,4,6,8],[2],[3],[5],[7]] => [[1,2,5,7],[3],[4],[6],[8]] => [[1,4,6,8],[2],[3],[5],[7]] => {{1,4,6,8},{2},{3},{5},{7}}
[[1,3,6,8],[2],[4],[5],[7]] => [[1,2,4,7],[3],[5],[6],[8]] => [[1,3,6,8],[2],[4],[5],[7]] => {{1,3,6,8},{2},{4},{5},{7}}
[[1,2,6,8],[3],[4],[5],[7]] => [[1,2,3,7],[4],[5],[6],[8]] => [[1,2,6,8],[3],[4],[5],[7]] => {{1,2,6,8},{3},{4},{5},{7}}
[[1,4,5,8],[2],[3],[6],[7]] => [[1,2,5,6],[3],[4],[7],[8]] => [[1,4,5,8],[2],[3],[6],[7]] => {{1,4,5,8},{2},{3},{6},{7}}
[[1,3,5,8],[2],[4],[6],[7]] => [[1,2,4,6],[3],[5],[7],[8]] => [[1,3,5,8],[2],[4],[6],[7]] => {{1,3,5,8},{2},{4},{6},{7}}
[[1,2,5,8],[3],[4],[6],[7]] => [[1,2,3,6],[4],[5],[7],[8]] => [[1,2,5,8],[3],[4],[6],[7]] => {{1,2,5,8},{3},{4},{6},{7}}
[[1,3,4,8],[2],[5],[6],[7]] => [[1,2,4,5],[3],[6],[7],[8]] => [[1,3,4,8],[2],[5],[6],[7]] => {{1,3,4,8},{2},{5},{6},{7}}
[[1,2,4,8],[3],[5],[6],[7]] => [[1,2,3,5],[4],[6],[7],[8]] => [[1,2,4,8],[3],[5],[6],[7]] => {{1,2,4,8},{3},{5},{6},{7}}
[[1,2,3,8],[4],[5],[6],[7]] => [[1,2,3,4],[5],[6],[7],[8]] => [[1,2,3,8],[4],[5],[6],[7]] => {{1,2,3,8},{4},{5},{6},{7}}
[[1,5,6,7],[2],[3],[4],[8]] => [[1,2,6,7,8],[3],[4],[5]] => [[1,5,6,7,8],[2],[3],[4]] => {{1,5,6,7,8},{2},{3},{4}}
[[1,4,6,7],[2],[3],[5],[8]] => [[1,2,5,7,8],[3],[4],[6]] => [[1,4,6,7,8],[2],[3],[5]] => {{1,4,6,7,8},{2},{3},{5}}
[[1,3,6,7],[2],[4],[5],[8]] => [[1,2,4,7,8],[3],[5],[6]] => [[1,3,6,7,8],[2],[4],[5]] => {{1,3,6,7,8},{2},{4},{5}}
[[1,2,6,7],[3],[4],[5],[8]] => [[1,2,3,7,8],[4],[5],[6]] => [[1,2,6,7,8],[3],[4],[5]] => {{1,2,6,7,8},{3},{4},{5}}
[[1,4,5,7],[2],[3],[6],[8]] => [[1,2,5,6,8],[3],[4],[7]] => [[1,4,5,7,8],[2],[3],[6]] => {{1,4,5,7,8},{2},{3},{6}}
[[1,3,5,7],[2],[4],[6],[8]] => [[1,2,4,6,8],[3],[5],[7]] => [[1,3,5,7,8],[2],[4],[6]] => {{1,3,5,7,8},{2},{4},{6}}
[[1,2,5,7],[3],[4],[6],[8]] => [[1,2,3,6,8],[4],[5],[7]] => [[1,2,5,7,8],[3],[4],[6]] => {{1,2,5,7,8},{3},{4},{6}}
[[1,3,4,7],[2],[5],[6],[8]] => [[1,2,4,5,8],[3],[6],[7]] => [[1,3,4,7,8],[2],[5],[6]] => {{1,3,4,7,8},{2},{5},{6}}
[[1,2,4,7],[3],[5],[6],[8]] => [[1,2,3,5,8],[4],[6],[7]] => [[1,2,4,7,8],[3],[5],[6]] => {{1,2,4,7,8},{3},{5},{6}}
[[1,2,3,7],[4],[5],[6],[8]] => [[1,2,3,4,8],[5],[6],[7]] => [[1,2,3,7,8],[4],[5],[6]] => {{1,2,3,7,8},{4},{5},{6}}
[[1,4,5,6],[2],[3],[7],[8]] => [[1,2,5,6,7],[3],[4],[8]] => [[1,4,5,6,8],[2],[3],[7]] => {{1,4,5,6,8},{2},{3},{7}}
[[1,3,5,6],[2],[4],[7],[8]] => [[1,2,4,6,7],[3],[5],[8]] => [[1,3,5,6,8],[2],[4],[7]] => {{1,3,5,6,8},{2},{4},{7}}
[[1,2,5,6],[3],[4],[7],[8]] => [[1,2,3,6,7],[4],[5],[8]] => [[1,2,5,6,8],[3],[4],[7]] => {{1,2,5,6,8},{3},{4},{7}}
[[1,3,4,6],[2],[5],[7],[8]] => [[1,2,4,5,7],[3],[6],[8]] => [[1,3,4,6,8],[2],[5],[7]] => {{1,3,4,6,8},{2},{5},{7}}
[[1,2,4,6],[3],[5],[7],[8]] => [[1,2,3,5,7],[4],[6],[8]] => [[1,2,4,6,8],[3],[5],[7]] => {{1,2,4,6,8},{3},{5},{7}}
[[1,2,3,6],[4],[5],[7],[8]] => [[1,2,3,4,7],[5],[6],[8]] => [[1,2,3,6,8],[4],[5],[7]] => {{1,2,3,6,8},{4},{5},{7}}
[[1,3,4,5],[2],[6],[7],[8]] => [[1,2,4,5,6],[3],[7],[8]] => [[1,3,4,5,8],[2],[6],[7]] => {{1,3,4,5,8},{2},{6},{7}}
[[1,2,4,5],[3],[6],[7],[8]] => [[1,2,3,5,6],[4],[7],[8]] => [[1,2,4,5,8],[3],[6],[7]] => {{1,2,4,5,8},{3},{6},{7}}
[[1,2,3,5],[4],[6],[7],[8]] => [[1,2,3,4,6],[5],[7],[8]] => [[1,2,3,5,8],[4],[6],[7]] => {{1,2,3,5,8},{4},{6},{7}}
[[1,2,3,4],[5],[6],[7],[8]] => [[1,2,3,4,5],[6],[7],[8]] => [[1,2,3,4,8],[5],[6],[7]] => {{1,2,3,4,8},{5},{6},{7}}
[[1,4,7],[2,5,8],[3,6]] => [[1,2,5,8],[3,6],[4,7]] => [[1,4,7,8],[2,5],[3,6]] => {{1,4,7,8},{2,5},{3,6}}
[[1,3,7],[2,5,8],[4,6]] => [[1,2,4,5,8],[3,6],[7]] => [[1,3,4,7,8],[2,5],[6]] => {{1,3,4,7,8},{2,5},{6}}
[[1,2,7],[3,5,8],[4,6]] => [[1,2,3,5,8],[4,6],[7]] => [[1,2,4,7,8],[3,5],[6]] => {{1,2,4,7,8},{3,5},{6}}
[[1,3,7],[2,4,8],[5,6]] => [[1,2,4,6,8],[3,5],[7]] => [[1,3,5,7,8],[2,4],[6]] => {{1,3,5,7,8},{2,4},{6}}
[[1,2,7],[3,4,8],[5,6]] => [[1,2,3,4,8],[5,6],[7]] => [[1,2,3,7,8],[4,5],[6]] => {{1,2,3,7,8},{4,5},{6}}
[[1,4,6],[2,5,8],[3,7]] => [[1,2,5,7,8],[3,6],[4]] => [[1,4,6,7,8],[2,5],[3]] => {{1,4,6,7,8},{2,5},{3}}
[[1,3,6],[2,5,8],[4,7]] => [[1,2,4,5,8],[3,7],[6]] => [[1,3,4,7,8],[2,6],[5]] => {{1,3,4,7,8},{2,6},{5}}
[[1,2,6],[3,5,8],[4,7]] => [[1,2,3,5,8],[4,7],[6]] => [[1,2,4,7,8],[3,6],[5]] => {{1,2,4,7,8},{3,6},{5}}
[[1,3,6],[2,4,8],[5,7]] => [[1,2,4,7,8],[3,5],[6]] => [[1,3,6,7,8],[2,4],[5]] => {{1,3,6,7,8},{2,4},{5}}
[[1,2,6],[3,4,8],[5,7]] => [[1,2,3,4,8],[5,7],[6]] => [[1,2,3,7,8],[4,6],[5]] => {{1,2,3,7,8},{4,6},{5}}
[[1,4,5],[2,6,8],[3,7]] => [[1,2,5,6,8],[3,7],[4]] => [[1,4,5,7,8],[2,6],[3]] => {{1,4,5,7,8},{2,6},{3}}
[[1,3,5],[2,6,8],[4,7]] => [[1,2,4,6,8],[3,7],[5]] => [[1,3,5,7,8],[2,6],[4]] => {{1,3,5,7,8},{2,6},{4}}
[[1,2,5],[3,6,8],[4,7]] => [[1,2,3,6,8],[4,7],[5]] => [[1,2,5,7,8],[3,6],[4]] => {{1,2,5,7,8},{3,6},{4}}
[[1,3,4],[2,6,8],[5,7]] => [[1,2,4,5,6,8],[3,7]] => [[1,3,4,5,7,8],[2,6]] => {{1,3,4,5,7,8},{2,6}}
[[1,2,4],[3,6,8],[5,7]] => [[1,2,3,5,6,8],[4,7]] => [[1,2,4,5,7,8],[3,6]] => {{1,2,4,5,7,8},{3,6}}
[[1,2,3],[4,6,8],[5,7]] => [[1,2,3,4,6,8],[5,7]] => [[1,2,3,5,7,8],[4,6]] => {{1,2,3,5,7,8},{4,6}}
[[1,3,5],[2,4,8],[6,7]] => [[1,2,4,6,7,8],[3,5]] => [[1,3,5,6,7,8],[2,4]] => {{1,3,5,6,7,8},{2,4}}
[[1,2,5],[3,4,8],[6,7]] => [[1,2,3,4,7,8],[5,6]] => [[1,2,3,6,7,8],[4,5]] => {{1,2,3,6,7,8},{4,5}}
[[1,3,4],[2,5,8],[6,7]] => [[1,2,4,5,7,8],[3,6]] => [[1,3,4,6,7,8],[2,5]] => {{1,3,4,6,7,8},{2,5}}
[[1,2,4],[3,5,8],[6,7]] => [[1,2,3,5,7,8],[4,6]] => [[1,2,4,6,7,8],[3,5]] => {{1,2,4,6,7,8},{3,5}}
[[1,2,3],[4,5,8],[6,7]] => [[1,2,3,4,5,8],[6,7]] => [[1,2,3,4,7,8],[5,6]] => {{1,2,3,4,7,8},{5,6}}
[[1,4,6],[2,5,7],[3,8]] => [[1,2,5,7],[3,6,8],[4]] => [[1,4,6,8],[2,5,7],[3]] => {{1,4,6,8},{2,5,7},{3}}
[[1,3,6],[2,5,7],[4,8]] => [[1,2,4,5,7],[3,8],[6]] => [[1,3,4,6,8],[2,7],[5]] => {{1,3,4,6,8},{2,7},{5}}
[[1,2,6],[3,5,7],[4,8]] => [[1,2,3,5,7],[4,8],[6]] => [[1,2,4,6,8],[3,7],[5]] => {{1,2,4,6,8},{3,7},{5}}
[[1,3,6],[2,4,7],[5,8]] => [[1,2,4,7],[3,5,8],[6]] => [[1,3,6,8],[2,4,7],[5]] => {{1,3,6,8},{2,4,7},{5}}
[[1,2,6],[3,4,7],[5,8]] => [[1,2,3,4,7],[5,8],[6]] => [[1,2,3,6,8],[4,7],[5]] => {{1,2,3,6,8},{4,7},{5}}
[[1,4,5],[2,6,7],[3,8]] => [[1,2,5,6,7],[3,8],[4]] => [[1,4,5,6,8],[2,7],[3]] => {{1,4,5,6,8},{2,7},{3}}
[[1,3,5],[2,6,7],[4,8]] => [[1,2,4,6,7],[3,8],[5]] => [[1,3,5,6,8],[2,7],[4]] => {{1,3,5,6,8},{2,7},{4}}
[[1,2,5],[3,6,7],[4,8]] => [[1,2,3,6,7],[4,8],[5]] => [[1,2,5,6,8],[3,7],[4]] => {{1,2,5,6,8},{3,7},{4}}
[[1,3,4],[2,6,7],[5,8]] => [[1,2,4,5,6,7],[3,8]] => [[1,3,4,5,6,8],[2,7]] => {{1,3,4,5,6,8},{2,7}}
[[1,2,4],[3,6,7],[5,8]] => [[1,2,3,5,6,7],[4,8]] => [[1,2,4,5,6,8],[3,7]] => {{1,2,4,5,6,8},{3,7}}
[[1,2,3],[4,6,7],[5,8]] => [[1,2,3,4,6,7],[5,8]] => [[1,2,3,5,6,8],[4,7]] => {{1,2,3,5,6,8},{4,7}}
[[1,3,5],[2,4,7],[6,8]] => [[1,2,4,6,7],[3,5,8]] => [[1,3,5,6,8],[2,4,7]] => {{1,3,5,6,8},{2,4,7}}
[[1,2,5],[3,4,7],[6,8]] => [[1,2,3,4,7],[5,6,8]] => [[1,2,3,6,8],[4,5,7]] => {{1,2,3,6,8},{4,5,7}}
[[1,3,4],[2,5,7],[6,8]] => [[1,2,4,5,7],[3,6,8]] => [[1,3,4,6,8],[2,5,7]] => {{1,3,4,6,8},{2,5,7}}
[[1,2,4],[3,5,7],[6,8]] => [[1,2,3,5,7],[4,6,8]] => [[1,2,4,6,8],[3,5,7]] => {{1,2,4,6,8},{3,5,7}}
[[1,2,3],[4,5,7],[6,8]] => [[1,2,3,4,5,7],[6,8]] => [[1,2,3,4,6,8],[5,7]] => {{1,2,3,4,6,8},{5,7}}
[[1,3,5],[2,4,6],[7,8]] => [[1,2,4,6,8],[3,5,7]] => [[1,3,5,7,8],[2,4,6]] => {{1,3,5,7,8},{2,4,6}}
[[1,2,5],[3,4,6],[7,8]] => [[1,2,3,4,6],[5,7,8]] => [[1,2,3,5,8],[4,6,7]] => {{1,2,3,5,8},{4,6,7}}
[[1,3,4],[2,5,6],[7,8]] => [[1,2,4,5,6],[3,7,8]] => [[1,3,4,5,8],[2,6,7]] => {{1,3,4,5,8},{2,6,7}}
[[1,2,4],[3,5,6],[7,8]] => [[1,2,3,5,6],[4,7,8]] => [[1,2,4,5,8],[3,6,7]] => {{1,2,4,5,8},{3,6,7}}
[[1,2,3],[4,5,6],[7,8]] => [[1,2,3,4,5,6],[7,8]] => [[1,2,3,4,5,8],[6,7]] => {{1,2,3,4,5,8},{6,7}}
[[1,5,7],[2,6,8],[3],[4]] => [[1,2,6,8],[3,7],[4],[5]] => [[1,5,7,8],[2,6],[3],[4]] => {{1,5,7,8},{2,6},{3},{4}}
[[1,4,7],[2,6,8],[3],[5]] => [[1,2,5,6,8],[3],[4],[7]] => [[1,4,5,7,8],[2],[3],[6]] => {{1,4,5,7,8},{2},{3},{6}}
[[1,3,7],[2,6,8],[4],[5]] => [[1,2,4,6,8],[3],[5],[7]] => [[1,3,5,7,8],[2],[4],[6]] => {{1,3,5,7,8},{2},{4},{6}}
[[1,2,7],[3,6,8],[4],[5]] => [[1,2,3,6,8],[4],[5],[7]] => [[1,2,5,7,8],[3],[4],[6]] => {{1,2,5,7,8},{3},{4},{6}}
[[1,4,7],[2,5,8],[3],[6]] => [[1,2,5,8],[3,6],[4],[7]] => [[1,4,7,8],[2,5],[3],[6]] => {{1,4,7,8},{2,5},{3},{6}}
[[1,3,7],[2,5,8],[4],[6]] => [[1,2,4,5,8],[3],[6],[7]] => [[1,3,4,7,8],[2],[5],[6]] => {{1,3,4,7,8},{2},{5},{6}}
[[1,2,7],[3,5,8],[4],[6]] => [[1,2,3,5,8],[4],[6],[7]] => [[1,2,4,7,8],[3],[5],[6]] => {{1,2,4,7,8},{3},{5},{6}}
[[1,3,7],[2,4,8],[5],[6]] => [[1,2,4,8],[3,5],[6],[7]] => [[1,3,7,8],[2,4],[5],[6]] => {{1,3,7,8},{2,4},{5},{6}}
[[1,2,7],[3,4,8],[5],[6]] => [[1,2,3,4,8],[5],[6],[7]] => [[1,2,3,7,8],[4],[5],[6]] => {{1,2,3,7,8},{4},{5},{6}}
[[1,5,6],[2,7,8],[3],[4]] => [[1,2,6,7,8],[3],[4],[5]] => [[1,5,6,7,8],[2],[3],[4]] => {{1,5,6,7,8},{2},{3},{4}}
[[1,4,6],[2,7,8],[3],[5]] => [[1,2,5,7,8],[3],[4],[6]] => [[1,4,6,7,8],[2],[3],[5]] => {{1,4,6,7,8},{2},{3},{5}}
[[1,3,6],[2,7,8],[4],[5]] => [[1,2,4,7,8],[3],[5],[6]] => [[1,3,6,7,8],[2],[4],[5]] => {{1,3,6,7,8},{2},{4},{5}}
[[1,2,6],[3,7,8],[4],[5]] => [[1,2,3,7,8],[4],[5],[6]] => [[1,2,6,7,8],[3],[4],[5]] => {{1,2,6,7,8},{3},{4},{5}}
[[1,4,5],[2,7,8],[3],[6]] => [[1,2,5,6,7,8],[3],[4]] => [[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}}
[[1,3,5],[2,7,8],[4],[6]] => [[1,2,4,6,7,8],[3],[5]] => [[1,3,5,6,7,8],[2],[4]] => {{1,3,5,6,7,8},{2},{4}}
[[1,2,5],[3,7,8],[4],[6]] => [[1,2,3,6,7,8],[4],[5]] => [[1,2,5,6,7,8],[3],[4]] => {{1,2,5,6,7,8},{3},{4}}
[[1,3,4],[2,7,8],[5],[6]] => [[1,2,4,5,7,8],[3],[6]] => [[1,3,4,6,7,8],[2],[5]] => {{1,3,4,6,7,8},{2},{5}}
[[1,2,4],[3,7,8],[5],[6]] => [[1,2,3,5,7,8],[4],[6]] => [[1,2,4,6,7,8],[3],[5]] => {{1,2,4,6,7,8},{3},{5}}
[[1,2,3],[4,7,8],[5],[6]] => [[1,2,3,4,7,8],[5],[6]] => [[1,2,3,6,7,8],[4],[5]] => {{1,2,3,6,7,8},{4},{5}}
[[1,4,6],[2,5,8],[3],[7]] => [[1,2,5,7,8],[3,6],[4]] => [[1,4,6,7,8],[2,5],[3]] => {{1,4,6,7,8},{2,5},{3}}
[[1,3,6],[2,5,8],[4],[7]] => [[1,2,4,5,8],[3,7],[6]] => [[1,3,4,7,8],[2,6],[5]] => {{1,3,4,7,8},{2,6},{5}}
[[1,2,6],[3,5,8],[4],[7]] => [[1,2,3,5,8],[4,7],[6]] => [[1,2,4,7,8],[3,6],[5]] => {{1,2,4,7,8},{3,6},{5}}
[[1,3,6],[2,4,8],[5],[7]] => [[1,2,4,7,8],[3,5],[6]] => [[1,3,6,7,8],[2,4],[5]] => {{1,3,6,7,8},{2,4},{5}}
[[1,2,6],[3,4,8],[5],[7]] => [[1,2,3,4,8],[5,7],[6]] => [[1,2,3,7,8],[4,6],[5]] => {{1,2,3,7,8},{4,6},{5}}
[[1,4,5],[2,6,8],[3],[7]] => [[1,2,5,6,8],[3,7],[4]] => [[1,4,5,7,8],[2,6],[3]] => {{1,4,5,7,8},{2,6},{3}}
[[1,3,5],[2,6,8],[4],[7]] => [[1,2,4,6,8],[3,7],[5]] => [[1,3,5,7,8],[2,6],[4]] => {{1,3,5,7,8},{2,6},{4}}
[[1,2,5],[3,6,8],[4],[7]] => [[1,2,3,6,8],[4,7],[5]] => [[1,2,5,7,8],[3,6],[4]] => {{1,2,5,7,8},{3,6},{4}}
[[1,3,4],[2,6,8],[5],[7]] => [[1,2,4,5,6,8],[3],[7]] => [[1,3,4,5,7,8],[2],[6]] => {{1,3,4,5,7,8},{2},{6}}
[[1,2,4],[3,6,8],[5],[7]] => [[1,2,3,5,6,8],[4],[7]] => [[1,2,4,5,7,8],[3],[6]] => {{1,2,4,5,7,8},{3},{6}}
[[1,2,3],[4,6,8],[5],[7]] => [[1,2,3,4,6,8],[5],[7]] => [[1,2,3,5,7,8],[4],[6]] => {{1,2,3,5,7,8},{4},{6}}
[[1,3,5],[2,4,8],[6],[7]] => [[1,2,4,6,8],[3,5],[7]] => [[1,3,5,7,8],[2,4],[6]] => {{1,3,5,7,8},{2,4},{6}}
[[1,2,5],[3,4,8],[6],[7]] => [[1,2,3,4,8],[5,6],[7]] => [[1,2,3,7,8],[4,5],[6]] => {{1,2,3,7,8},{4,5},{6}}
[[1,3,4],[2,5,8],[6],[7]] => [[1,2,4,5,8],[3,6],[7]] => [[1,3,4,7,8],[2,5],[6]] => {{1,3,4,7,8},{2,5},{6}}
[[1,2,4],[3,5,8],[6],[7]] => [[1,2,3,5,8],[4,6],[7]] => [[1,2,4,7,8],[3,5],[6]] => {{1,2,4,7,8},{3,5},{6}}
[[1,2,3],[4,5,8],[6],[7]] => [[1,2,3,4,5,8],[6],[7]] => [[1,2,3,4,7,8],[5],[6]] => {{1,2,3,4,7,8},{5},{6}}
[[1,4,6],[2,5,7],[3],[8]] => [[1,2,5,7],[3,6,8],[4]] => [[1,4,6,8],[2,5,7],[3]] => {{1,4,6,8},{2,5,7},{3}}
[[1,3,6],[2,5,7],[4],[8]] => [[1,2,4,5,7],[3,8],[6]] => [[1,3,4,6,8],[2,7],[5]] => {{1,3,4,6,8},{2,7},{5}}
[[1,2,6],[3,5,7],[4],[8]] => [[1,2,3,5,7],[4,8],[6]] => [[1,2,4,6,8],[3,7],[5]] => {{1,2,4,6,8},{3,7},{5}}
[[1,3,6],[2,4,7],[5],[8]] => [[1,2,4,7],[3,5,8],[6]] => [[1,3,6,8],[2,4,7],[5]] => {{1,3,6,8},{2,4,7},{5}}
[[1,2,6],[3,4,7],[5],[8]] => [[1,2,3,4,7],[5,8],[6]] => [[1,2,3,6,8],[4,7],[5]] => {{1,2,3,6,8},{4,7},{5}}
[[1,4,5],[2,6,7],[3],[8]] => [[1,2,5,6,7],[3,8],[4]] => [[1,4,5,6,8],[2,7],[3]] => {{1,4,5,6,8},{2,7},{3}}
[[1,3,5],[2,6,7],[4],[8]] => [[1,2,4,6,7],[3,8],[5]] => [[1,3,5,6,8],[2,7],[4]] => {{1,3,5,6,8},{2,7},{4}}
[[1,2,5],[3,6,7],[4],[8]] => [[1,2,3,6,7],[4,8],[5]] => [[1,2,5,6,8],[3,7],[4]] => {{1,2,5,6,8},{3,7},{4}}
[[1,3,4],[2,6,7],[5],[8]] => [[1,2,4,5,6,7],[3],[8]] => [[1,3,4,5,6,8],[2],[7]] => {{1,3,4,5,6,8},{2},{7}}
[[1,2,4],[3,6,7],[5],[8]] => [[1,2,3,5,6,7],[4],[8]] => [[1,2,4,5,6,8],[3],[7]] => {{1,2,4,5,6,8},{3},{7}}
[[1,2,3],[4,6,7],[5],[8]] => [[1,2,3,4,6,7],[5],[8]] => [[1,2,3,5,6,8],[4],[7]] => {{1,2,3,5,6,8},{4},{7}}
[[1,3,5],[2,4,7],[6],[8]] => [[1,2,4,6,7],[3,5],[8]] => [[1,3,5,6,8],[2,4],[7]] => {{1,3,5,6,8},{2,4},{7}}
[[1,2,5],[3,4,7],[6],[8]] => [[1,2,3,4,7],[5,6],[8]] => [[1,2,3,6,8],[4,5],[7]] => {{1,2,3,6,8},{4,5},{7}}
[[1,3,4],[2,5,7],[6],[8]] => [[1,2,4,5,7],[3,6],[8]] => [[1,3,4,6,8],[2,5],[7]] => {{1,3,4,6,8},{2,5},{7}}
[[1,2,4],[3,5,7],[6],[8]] => [[1,2,3,5,7],[4,6],[8]] => [[1,2,4,6,8],[3,5],[7]] => {{1,2,4,6,8},{3,5},{7}}
[[1,2,3],[4,5,7],[6],[8]] => [[1,2,3,4,5,7],[6],[8]] => [[1,2,3,4,6,8],[5],[7]] => {{1,2,3,4,6,8},{5},{7}}
[[1,3,5],[2,4,6],[7],[8]] => [[1,2,4,6],[3,5,7],[8]] => [[1,3,5,8],[2,4,6],[7]] => {{1,3,5,8},{2,4,6},{7}}
[[1,2,5],[3,4,6],[7],[8]] => [[1,2,3,4,6],[5,7],[8]] => [[1,2,3,5,8],[4,6],[7]] => {{1,2,3,5,8},{4,6},{7}}
[[1,3,4],[2,5,6],[7],[8]] => [[1,2,4,5,6],[3,7],[8]] => [[1,3,4,5,8],[2,6],[7]] => {{1,3,4,5,8},{2,6},{7}}
[[1,2,4],[3,5,6],[7],[8]] => [[1,2,3,5,6],[4,7],[8]] => [[1,2,4,5,8],[3,6],[7]] => {{1,2,4,5,8},{3,6},{7}}
[[1,2,3],[4,5,6],[7],[8]] => [[1,2,3,4,5,6],[7],[8]] => [[1,2,3,4,5,8],[6],[7]] => {{1,2,3,4,5,8},{6},{7}}
[[1,5,8],[2,6],[3,7],[4]] => [[1,2,6],[3,7],[4,8],[5]] => [[1,5,8],[2,6],[3,7],[4]] => {{1,5,8},{2,6},{3,7},{4}}
[[1,4,8],[2,6],[3,7],[5]] => [[1,2,5,6],[3,7],[4],[8]] => [[1,4,5,8],[2,6],[3],[7]] => {{1,4,5,8},{2,6},{3},{7}}
[[1,3,8],[2,6],[4,7],[5]] => [[1,2,4,6],[3,7],[5],[8]] => [[1,3,5,8],[2,6],[4],[7]] => {{1,3,5,8},{2,6},{4},{7}}
[[1,2,8],[3,6],[4,7],[5]] => [[1,2,3,6],[4,7],[5],[8]] => [[1,2,5,8],[3,6],[4],[7]] => {{1,2,5,8},{3,6},{4},{7}}
[[1,4,8],[2,5],[3,7],[6]] => [[1,2,5,7],[3,6],[4],[8]] => [[1,4,6,8],[2,5],[3],[7]] => {{1,4,6,8},{2,5},{3},{7}}
[[1,3,8],[2,5],[4,7],[6]] => [[1,2,4,5],[3,7],[6],[8]] => [[1,3,4,8],[2,6],[5],[7]] => {{1,3,4,8},{2,6},{5},{7}}
[[1,2,8],[3,5],[4,7],[6]] => [[1,2,3,5],[4,7],[6],[8]] => [[1,2,4,8],[3,6],[5],[7]] => {{1,2,4,8},{3,6},{5},{7}}
[[1,3,8],[2,4],[5,7],[6]] => [[1,2,4,7],[3,5],[6],[8]] => [[1,3,6,8],[2,4],[5],[7]] => {{1,3,6,8},{2,4},{5},{7}}
[[1,2,8],[3,4],[5,7],[6]] => [[1,2,3,4],[5,7],[6],[8]] => [[1,2,3,8],[4,6],[5],[7]] => {{1,2,3,8},{4,6},{5},{7}}
[[1,4,8],[2,5],[3,6],[7]] => [[1,2,5],[3,6],[4,7],[8]] => [[1,4,8],[2,5],[3,6],[7]] => {{1,4,8},{2,5},{3,6},{7}}
[[1,3,8],[2,5],[4,6],[7]] => [[1,2,4,5],[3,6],[7],[8]] => [[1,3,4,8],[2,5],[6],[7]] => {{1,3,4,8},{2,5},{6},{7}}
[[1,2,8],[3,5],[4,6],[7]] => [[1,2,3,5],[4,6],[7],[8]] => [[1,2,4,8],[3,5],[6],[7]] => {{1,2,4,8},{3,5},{6},{7}}
[[1,3,8],[2,4],[5,6],[7]] => [[1,2,4,6],[3,5],[7],[8]] => [[1,3,5,8],[2,4],[6],[7]] => {{1,3,5,8},{2,4},{6},{7}}
[[1,2,8],[3,4],[5,6],[7]] => [[1,2,3,4],[5,6],[7],[8]] => [[1,2,3,8],[4,5],[6],[7]] => {{1,2,3,8},{4,5},{6},{7}}
[[1,5,7],[2,6],[3,8],[4]] => [[1,2,6,8],[3,7],[4],[5]] => [[1,5,7,8],[2,6],[3],[4]] => {{1,5,7,8},{2,6},{3},{4}}
[[1,4,7],[2,6],[3,8],[5]] => [[1,2,5,6],[3,8],[4],[7]] => [[1,4,5,8],[2,7],[3],[6]] => {{1,4,5,8},{2,7},{3},{6}}
[[1,3,7],[2,6],[4,8],[5]] => [[1,2,4,6],[3,8],[5],[7]] => [[1,3,5,8],[2,7],[4],[6]] => {{1,3,5,8},{2,7},{4},{6}}
[[1,2,7],[3,6],[4,8],[5]] => [[1,2,3,6],[4,8],[5],[7]] => [[1,2,5,8],[3,7],[4],[6]] => {{1,2,5,8},{3,7},{4},{6}}
[[1,4,7],[2,5],[3,8],[6]] => [[1,2,5,8],[3,6],[4],[7]] => [[1,4,7,8],[2,5],[3],[6]] => {{1,4,7,8},{2,5},{3},{6}}
[[1,3,7],[2,5],[4,8],[6]] => [[1,2,4,5],[3,8],[6],[7]] => [[1,3,4,8],[2,7],[5],[6]] => {{1,3,4,8},{2,7},{5},{6}}
[[1,2,7],[3,5],[4,8],[6]] => [[1,2,3,5],[4,8],[6],[7]] => [[1,2,4,8],[3,7],[5],[6]] => {{1,2,4,8},{3,7},{5},{6}}
[[1,3,7],[2,4],[5,8],[6]] => [[1,2,4,8],[3,5],[6],[7]] => [[1,3,7,8],[2,4],[5],[6]] => {{1,3,7,8},{2,4},{5},{6}}
[[1,2,7],[3,4],[5,8],[6]] => [[1,2,3,4],[5,8],[6],[7]] => [[1,2,3,8],[4,7],[5],[6]] => {{1,2,3,8},{4,7},{5},{6}}
[[1,5,6],[2,7],[3,8],[4]] => [[1,2,6,7],[3,8],[4],[5]] => [[1,5,6,8],[2,7],[3],[4]] => {{1,5,6,8},{2,7},{3},{4}}
[[1,4,6],[2,7],[3,8],[5]] => [[1,2,5,7],[3,8],[4],[6]] => [[1,4,6,8],[2,7],[3],[5]] => {{1,4,6,8},{2,7},{3},{5}}
[[1,3,6],[2,7],[4,8],[5]] => [[1,2,4,7],[3,8],[5],[6]] => [[1,3,6,8],[2,7],[4],[5]] => {{1,3,6,8},{2,7},{4},{5}}
[[1,2,6],[3,7],[4,8],[5]] => [[1,2,3,7],[4,8],[5],[6]] => [[1,2,6,8],[3,7],[4],[5]] => {{1,2,6,8},{3,7},{4},{5}}
[[1,4,5],[2,7],[3,8],[6]] => [[1,2,5,6,7],[3,8],[4]] => [[1,4,5,6,8],[2,7],[3]] => {{1,4,5,6,8},{2,7},{3}}
[[1,3,5],[2,7],[4,8],[6]] => [[1,2,4,6,7],[3,8],[5]] => [[1,3,5,6,8],[2,7],[4]] => {{1,3,5,6,8},{2,7},{4}}
[[1,2,5],[3,7],[4,8],[6]] => [[1,2,3,6,7],[4,8],[5]] => [[1,2,5,6,8],[3,7],[4]] => {{1,2,5,6,8},{3,7},{4}}
[[1,3,4],[2,7],[5,8],[6]] => [[1,2,4,5,7],[3,8],[6]] => [[1,3,4,6,8],[2,7],[5]] => {{1,3,4,6,8},{2,7},{5}}
[[1,2,4],[3,7],[5,8],[6]] => [[1,2,3,5,7],[4,8],[6]] => [[1,2,4,6,8],[3,7],[5]] => {{1,2,4,6,8},{3,7},{5}}
[[1,2,3],[4,7],[5,8],[6]] => [[1,2,3,4,7],[5,8],[6]] => [[1,2,3,6,8],[4,7],[5]] => {{1,2,3,6,8},{4,7},{5}}
[[1,4,6],[2,5],[3,8],[7]] => [[1,2,5,7,8],[3,6],[4]] => [[1,4,6,7,8],[2,5],[3]] => {{1,4,6,7,8},{2,5},{3}}
[[1,3,6],[2,5],[4,8],[7]] => [[1,2,4,5,8],[3,7],[6]] => [[1,3,4,7,8],[2,6],[5]] => {{1,3,4,7,8},{2,6},{5}}
[[1,2,6],[3,5],[4,8],[7]] => [[1,2,3,5,8],[4,7],[6]] => [[1,2,4,7,8],[3,6],[5]] => {{1,2,4,7,8},{3,6},{5}}
[[1,3,6],[2,4],[5,8],[7]] => [[1,2,4,7,8],[3,5],[6]] => [[1,3,6,7,8],[2,4],[5]] => {{1,3,6,7,8},{2,4},{5}}
[[1,2,6],[3,4],[5,8],[7]] => [[1,2,3,4,8],[5,7],[6]] => [[1,2,3,7,8],[4,6],[5]] => {{1,2,3,7,8},{4,6},{5}}
[[1,4,5],[2,6],[3,8],[7]] => [[1,2,5,6,8],[3,7],[4]] => [[1,4,5,7,8],[2,6],[3]] => {{1,4,5,7,8},{2,6},{3}}
[[1,3,5],[2,6],[4,8],[7]] => [[1,2,4,6,8],[3,7],[5]] => [[1,3,5,7,8],[2,6],[4]] => {{1,3,5,7,8},{2,6},{4}}
[[1,2,5],[3,6],[4,8],[7]] => [[1,2,3,6,8],[4,7],[5]] => [[1,2,5,7,8],[3,6],[4]] => {{1,2,5,7,8},{3,6},{4}}
[[1,3,4],[2,6],[5,8],[7]] => [[1,2,4,5,6],[3,8],[7]] => [[1,3,4,5,8],[2,7],[6]] => {{1,3,4,5,8},{2,7},{6}}
[[1,2,4],[3,6],[5,8],[7]] => [[1,2,3,5,6],[4,8],[7]] => [[1,2,4,5,8],[3,7],[6]] => {{1,2,4,5,8},{3,7},{6}}
[[1,2,3],[4,6],[5,8],[7]] => [[1,2,3,4,6],[5,8],[7]] => [[1,2,3,5,8],[4,7],[6]] => {{1,2,3,5,8},{4,7},{6}}
[[1,3,5],[2,4],[6,8],[7]] => [[1,2,4,6,8],[3,5],[7]] => [[1,3,5,7,8],[2,4],[6]] => {{1,3,5,7,8},{2,4},{6}}
[[1,2,5],[3,4],[6,8],[7]] => [[1,2,3,4,8],[5,6],[7]] => [[1,2,3,7,8],[4,5],[6]] => {{1,2,3,7,8},{4,5},{6}}
[[1,3,4],[2,5],[6,8],[7]] => [[1,2,4,5,8],[3,6],[7]] => [[1,3,4,7,8],[2,5],[6]] => {{1,3,4,7,8},{2,5},{6}}
[[1,2,4],[3,5],[6,8],[7]] => [[1,2,3,5,8],[4,6],[7]] => [[1,2,4,7,8],[3,5],[6]] => {{1,2,4,7,8},{3,5},{6}}
[[1,2,3],[4,5],[6,8],[7]] => [[1,2,3,4,5],[6,8],[7]] => [[1,2,3,4,8],[5,7],[6]] => {{1,2,3,4,8},{5,7},{6}}
[[1,4,7],[2,5],[3,6],[8]] => [[1,2,5,8],[3,6],[4,7]] => [[1,4,7,8],[2,5],[3,6]] => {{1,4,7,8},{2,5},{3,6}}
[[1,3,7],[2,5],[4,6],[8]] => [[1,2,4,5],[3,6],[7,8]] => [[1,3,4,8],[2,5],[6,7]] => {{1,3,4,8},{2,5},{6,7}}
[[1,2,7],[3,5],[4,6],[8]] => [[1,2,3,5],[4,6],[7,8]] => [[1,2,4,8],[3,5],[6,7]] => {{1,2,4,8},{3,5},{6,7}}
[[1,3,7],[2,4],[5,6],[8]] => [[1,2,4,6],[3,5],[7,8]] => [[1,3,5,8],[2,4],[6,7]] => {{1,3,5,8},{2,4},{6,7}}
[[1,2,7],[3,4],[5,6],[8]] => [[1,2,3,4],[5,6],[7,8]] => [[1,2,3,8],[4,5],[6,7]] => {{1,2,3,8},{4,5},{6,7}}
[[1,4,6],[2,5],[3,7],[8]] => [[1,2,5,7],[3,6],[4,8]] => [[1,4,6,8],[2,5],[3,7]] => {{1,4,6,8},{2,5},{3,7}}
[[1,3,6],[2,5],[4,7],[8]] => [[1,2,4,5],[3,7],[6,8]] => [[1,3,4,8],[2,6],[5,7]] => {{1,3,4,8},{2,6},{5,7}}
[[1,2,6],[3,5],[4,7],[8]] => [[1,2,3,5],[4,7],[6,8]] => [[1,2,4,8],[3,6],[5,7]] => {{1,2,4,8},{3,6},{5,7}}
[[1,3,6],[2,4],[5,7],[8]] => [[1,2,4,7],[3,5],[6,8]] => [[1,3,6,8],[2,4],[5,7]] => {{1,3,6,8},{2,4},{5,7}}
[[1,2,6],[3,4],[5,7],[8]] => [[1,2,3,4],[5,7],[6,8]] => [[1,2,3,8],[4,6],[5,7]] => {{1,2,3,8},{4,6},{5,7}}
[[1,4,5],[2,6],[3,7],[8]] => [[1,2,5,6],[3,7],[4,8]] => [[1,4,5,8],[2,6],[3,7]] => {{1,4,5,8},{2,6},{3,7}}
[[1,3,5],[2,6],[4,7],[8]] => [[1,2,4,6],[3,7],[5,8]] => [[1,3,5,8],[2,6],[4,7]] => {{1,3,5,8},{2,6},{4,7}}
[[1,2,5],[3,6],[4,7],[8]] => [[1,2,3,6],[4,7],[5,8]] => [[1,2,5,8],[3,6],[4,7]] => {{1,2,5,8},{3,6},{4,7}}
[[1,3,4],[2,6],[5,7],[8]] => [[1,2,4,5,6],[3,7],[8]] => [[1,3,4,5,8],[2,6],[7]] => {{1,3,4,5,8},{2,6},{7}}
[[1,2,4],[3,6],[5,7],[8]] => [[1,2,3,5,6],[4,7],[8]] => [[1,2,4,5,8],[3,6],[7]] => {{1,2,4,5,8},{3,6},{7}}
[[1,2,3],[4,6],[5,7],[8]] => [[1,2,3,4,6],[5,7],[8]] => [[1,2,3,5,8],[4,6],[7]] => {{1,2,3,5,8},{4,6},{7}}
[[1,3,5],[2,4],[6,7],[8]] => [[1,2,4,6,7],[3,5],[8]] => [[1,3,5,6,8],[2,4],[7]] => {{1,3,5,6,8},{2,4},{7}}
[[1,2,5],[3,4],[6,7],[8]] => [[1,2,3,4,7],[5,6],[8]] => [[1,2,3,6,8],[4,5],[7]] => {{1,2,3,6,8},{4,5},{7}}
[[1,3,4],[2,5],[6,7],[8]] => [[1,2,4,5,7],[3,6],[8]] => [[1,3,4,6,8],[2,5],[7]] => {{1,3,4,6,8},{2,5},{7}}
[[1,2,4],[3,5],[6,7],[8]] => [[1,2,3,5,7],[4,6],[8]] => [[1,2,4,6,8],[3,5],[7]] => {{1,2,4,6,8},{3,5},{7}}
[[1,2,3],[4,5],[6,7],[8]] => [[1,2,3,4,5],[6,7],[8]] => [[1,2,3,4,8],[5,6],[7]] => {{1,2,3,4,8},{5,6},{7}}
[[1,6,8],[2,7],[3],[4],[5]] => [[1,2,7],[3,8],[4],[5],[6]] => [[1,6,8],[2,7],[3],[4],[5]] => {{1,6,8},{2,7},{3},{4},{5}}
[[1,5,8],[2,7],[3],[4],[6]] => [[1,2,6,7],[3],[4],[5],[8]] => [[1,5,6,8],[2],[3],[4],[7]] => {{1,5,6,8},{2},{3},{4},{7}}
[[1,4,8],[2,7],[3],[5],[6]] => [[1,2,5,7],[3],[4],[6],[8]] => [[1,4,6,8],[2],[3],[5],[7]] => {{1,4,6,8},{2},{3},{5},{7}}
[[1,3,8],[2,7],[4],[5],[6]] => [[1,2,4,7],[3],[5],[6],[8]] => [[1,3,6,8],[2],[4],[5],[7]] => {{1,3,6,8},{2},{4},{5},{7}}
[[1,2,8],[3,7],[4],[5],[6]] => [[1,2,3,7],[4],[5],[6],[8]] => [[1,2,6,8],[3],[4],[5],[7]] => {{1,2,6,8},{3},{4},{5},{7}}
[[1,5,8],[2,6],[3],[4],[7]] => [[1,2,6],[3,7],[4],[5],[8]] => [[1,5,8],[2,6],[3],[4],[7]] => {{1,5,8},{2,6},{3},{4},{7}}
[[1,4,8],[2,6],[3],[5],[7]] => [[1,2,5,6],[3],[4],[7],[8]] => [[1,4,5,8],[2],[3],[6],[7]] => {{1,4,5,8},{2},{3},{6},{7}}
[[1,3,8],[2,6],[4],[5],[7]] => [[1,2,4,6],[3],[5],[7],[8]] => [[1,3,5,8],[2],[4],[6],[7]] => {{1,3,5,8},{2},{4},{6},{7}}
[[1,2,8],[3,6],[4],[5],[7]] => [[1,2,3,6],[4],[5],[7],[8]] => [[1,2,5,8],[3],[4],[6],[7]] => {{1,2,5,8},{3},{4},{6},{7}}
[[1,4,8],[2,5],[3],[6],[7]] => [[1,2,5],[3,6],[4],[7],[8]] => [[1,4,8],[2,5],[3],[6],[7]] => {{1,4,8},{2,5},{3},{6},{7}}
[[1,3,8],[2,5],[4],[6],[7]] => [[1,2,4,5],[3],[6],[7],[8]] => [[1,3,4,8],[2],[5],[6],[7]] => {{1,3,4,8},{2},{5},{6},{7}}
[[1,2,8],[3,5],[4],[6],[7]] => [[1,2,3,5],[4],[6],[7],[8]] => [[1,2,4,8],[3],[5],[6],[7]] => {{1,2,4,8},{3},{5},{6},{7}}
[[1,3,8],[2,4],[5],[6],[7]] => [[1,2,4],[3,5],[6],[7],[8]] => [[1,3,8],[2,4],[5],[6],[7]] => {{1,3,8},{2,4},{5},{6},{7}}
[[1,2,8],[3,4],[5],[6],[7]] => [[1,2,3,4],[5],[6],[7],[8]] => [[1,2,3,8],[4],[5],[6],[7]] => {{1,2,3,8},{4},{5},{6},{7}}
[[1,6,7],[2,8],[3],[4],[5]] => [[1,2,7,8],[3],[4],[5],[6]] => [[1,6,7,8],[2],[3],[4],[5]] => {{1,6,7,8},{2},{3},{4},{5}}
[[1,5,7],[2,8],[3],[4],[6]] => [[1,2,6,8],[3],[4],[5],[7]] => [[1,5,7,8],[2],[3],[4],[6]] => {{1,5,7,8},{2},{3},{4},{6}}
[[1,4,7],[2,8],[3],[5],[6]] => [[1,2,5,8],[3],[4],[6],[7]] => [[1,4,7,8],[2],[3],[5],[6]] => {{1,4,7,8},{2},{3},{5},{6}}
[[1,3,7],[2,8],[4],[5],[6]] => [[1,2,4,8],[3],[5],[6],[7]] => [[1,3,7,8],[2],[4],[5],[6]] => {{1,3,7,8},{2},{4},{5},{6}}
[[1,2,7],[3,8],[4],[5],[6]] => [[1,2,3,8],[4],[5],[6],[7]] => [[1,2,7,8],[3],[4],[5],[6]] => {{1,2,7,8},{3},{4},{5},{6}}
[[1,5,6],[2,8],[3],[4],[7]] => [[1,2,6,7,8],[3],[4],[5]] => [[1,5,6,7,8],[2],[3],[4]] => {{1,5,6,7,8},{2},{3},{4}}
[[1,4,6],[2,8],[3],[5],[7]] => [[1,2,5,7,8],[3],[4],[6]] => [[1,4,6,7,8],[2],[3],[5]] => {{1,4,6,7,8},{2},{3},{5}}
[[1,3,6],[2,8],[4],[5],[7]] => [[1,2,4,7,8],[3],[5],[6]] => [[1,3,6,7,8],[2],[4],[5]] => {{1,3,6,7,8},{2},{4},{5}}
[[1,2,6],[3,8],[4],[5],[7]] => [[1,2,3,7,8],[4],[5],[6]] => [[1,2,6,7,8],[3],[4],[5]] => {{1,2,6,7,8},{3},{4},{5}}
[[1,4,5],[2,8],[3],[6],[7]] => [[1,2,5,6,8],[3],[4],[7]] => [[1,4,5,7,8],[2],[3],[6]] => {{1,4,5,7,8},{2},{3},{6}}
[[1,3,5],[2,8],[4],[6],[7]] => [[1,2,4,6,8],[3],[5],[7]] => [[1,3,5,7,8],[2],[4],[6]] => {{1,3,5,7,8},{2},{4},{6}}
[[1,2,5],[3,8],[4],[6],[7]] => [[1,2,3,6,8],[4],[5],[7]] => [[1,2,5,7,8],[3],[4],[6]] => {{1,2,5,7,8},{3},{4},{6}}
[[1,3,4],[2,8],[5],[6],[7]] => [[1,2,4,5,8],[3],[6],[7]] => [[1,3,4,7,8],[2],[5],[6]] => {{1,3,4,7,8},{2},{5},{6}}
[[1,2,4],[3,8],[5],[6],[7]] => [[1,2,3,5,8],[4],[6],[7]] => [[1,2,4,7,8],[3],[5],[6]] => {{1,2,4,7,8},{3},{5},{6}}
[[1,2,3],[4,8],[5],[6],[7]] => [[1,2,3,4,8],[5],[6],[7]] => [[1,2,3,7,8],[4],[5],[6]] => {{1,2,3,7,8},{4},{5},{6}}
[[1,5,7],[2,6],[3],[4],[8]] => [[1,2,6,8],[3,7],[4],[5]] => [[1,5,7,8],[2,6],[3],[4]] => {{1,5,7,8},{2,6},{3},{4}}
[[1,4,7],[2,6],[3],[5],[8]] => [[1,2,5,6],[3,8],[4],[7]] => [[1,4,5,8],[2,7],[3],[6]] => {{1,4,5,8},{2,7},{3},{6}}
[[1,3,7],[2,6],[4],[5],[8]] => [[1,2,4,6],[3,8],[5],[7]] => [[1,3,5,8],[2,7],[4],[6]] => {{1,3,5,8},{2,7},{4},{6}}
[[1,2,7],[3,6],[4],[5],[8]] => [[1,2,3,6],[4,8],[5],[7]] => [[1,2,5,8],[3,7],[4],[6]] => {{1,2,5,8},{3,7},{4},{6}}
[[1,4,7],[2,5],[3],[6],[8]] => [[1,2,5,8],[3,6],[4],[7]] => [[1,4,7,8],[2,5],[3],[6]] => {{1,4,7,8},{2,5},{3},{6}}
[[1,3,7],[2,5],[4],[6],[8]] => [[1,2,4,5],[3,8],[6],[7]] => [[1,3,4,8],[2,7],[5],[6]] => {{1,3,4,8},{2,7},{5},{6}}
[[1,2,7],[3,5],[4],[6],[8]] => [[1,2,3,5],[4,8],[6],[7]] => [[1,2,4,8],[3,7],[5],[6]] => {{1,2,4,8},{3,7},{5},{6}}
[[1,3,7],[2,4],[5],[6],[8]] => [[1,2,4,8],[3,5],[6],[7]] => [[1,3,7,8],[2,4],[5],[6]] => {{1,3,7,8},{2,4},{5},{6}}
[[1,2,7],[3,4],[5],[6],[8]] => [[1,2,3,4],[5,8],[6],[7]] => [[1,2,3,8],[4,7],[5],[6]] => {{1,2,3,8},{4,7},{5},{6}}
[[1,5,6],[2,7],[3],[4],[8]] => [[1,2,6,7],[3,8],[4],[5]] => [[1,5,6,8],[2,7],[3],[4]] => {{1,5,6,8},{2,7},{3},{4}}
[[1,4,6],[2,7],[3],[5],[8]] => [[1,2,5,7],[3,8],[4],[6]] => [[1,4,6,8],[2,7],[3],[5]] => {{1,4,6,8},{2,7},{3},{5}}
[[1,3,6],[2,7],[4],[5],[8]] => [[1,2,4,7],[3,8],[5],[6]] => [[1,3,6,8],[2,7],[4],[5]] => {{1,3,6,8},{2,7},{4},{5}}
[[1,2,6],[3,7],[4],[5],[8]] => [[1,2,3,7],[4,8],[5],[6]] => [[1,2,6,8],[3,7],[4],[5]] => {{1,2,6,8},{3,7},{4},{5}}
[[1,4,5],[2,7],[3],[6],[8]] => [[1,2,5,6,7],[3],[4],[8]] => [[1,4,5,6,8],[2],[3],[7]] => {{1,4,5,6,8},{2},{3},{7}}
[[1,3,5],[2,7],[4],[6],[8]] => [[1,2,4,6,7],[3],[5],[8]] => [[1,3,5,6,8],[2],[4],[7]] => {{1,3,5,6,8},{2},{4},{7}}
[[1,2,5],[3,7],[4],[6],[8]] => [[1,2,3,6,7],[4],[5],[8]] => [[1,2,5,6,8],[3],[4],[7]] => {{1,2,5,6,8},{3},{4},{7}}
[[1,3,4],[2,7],[5],[6],[8]] => [[1,2,4,5,7],[3],[6],[8]] => [[1,3,4,6,8],[2],[5],[7]] => {{1,3,4,6,8},{2},{5},{7}}
[[1,2,4],[3,7],[5],[6],[8]] => [[1,2,3,5,7],[4],[6],[8]] => [[1,2,4,6,8],[3],[5],[7]] => {{1,2,4,6,8},{3},{5},{7}}
[[1,2,3],[4,7],[5],[6],[8]] => [[1,2,3,4,7],[5],[6],[8]] => [[1,2,3,6,8],[4],[5],[7]] => {{1,2,3,6,8},{4},{5},{7}}
[[1,4,6],[2,5],[3],[7],[8]] => [[1,2,5,7],[3,6],[4],[8]] => [[1,4,6,8],[2,5],[3],[7]] => {{1,4,6,8},{2,5},{3},{7}}
[[1,3,6],[2,5],[4],[7],[8]] => [[1,2,4,5],[3,7],[6],[8]] => [[1,3,4,8],[2,6],[5],[7]] => {{1,3,4,8},{2,6},{5},{7}}
[[1,2,6],[3,5],[4],[7],[8]] => [[1,2,3,5],[4,7],[6],[8]] => [[1,2,4,8],[3,6],[5],[7]] => {{1,2,4,8},{3,6},{5},{7}}
[[1,3,6],[2,4],[5],[7],[8]] => [[1,2,4,7],[3,5],[6],[8]] => [[1,3,6,8],[2,4],[5],[7]] => {{1,3,6,8},{2,4},{5},{7}}
[[1,2,6],[3,4],[5],[7],[8]] => [[1,2,3,4],[5,7],[6],[8]] => [[1,2,3,8],[4,6],[5],[7]] => {{1,2,3,8},{4,6},{5},{7}}
[[1,4,5],[2,6],[3],[7],[8]] => [[1,2,5,6],[3,7],[4],[8]] => [[1,4,5,8],[2,6],[3],[7]] => {{1,4,5,8},{2,6},{3},{7}}
[[1,3,5],[2,6],[4],[7],[8]] => [[1,2,4,6],[3,7],[5],[8]] => [[1,3,5,8],[2,6],[4],[7]] => {{1,3,5,8},{2,6},{4},{7}}
[[1,2,5],[3,6],[4],[7],[8]] => [[1,2,3,6],[4,7],[5],[8]] => [[1,2,5,8],[3,6],[4],[7]] => {{1,2,5,8},{3,6},{4},{7}}
[[1,3,4],[2,6],[5],[7],[8]] => [[1,2,4,5,6],[3],[7],[8]] => [[1,3,4,5,8],[2],[6],[7]] => {{1,3,4,5,8},{2},{6},{7}}
[[1,2,4],[3,6],[5],[7],[8]] => [[1,2,3,5,6],[4],[7],[8]] => [[1,2,4,5,8],[3],[6],[7]] => {{1,2,4,5,8},{3},{6},{7}}
[[1,2,3],[4,6],[5],[7],[8]] => [[1,2,3,4,6],[5],[7],[8]] => [[1,2,3,5,8],[4],[6],[7]] => {{1,2,3,5,8},{4},{6},{7}}
[[1,3,5],[2,4],[6],[7],[8]] => [[1,2,4,6],[3,5],[7],[8]] => [[1,3,5,8],[2,4],[6],[7]] => {{1,3,5,8},{2,4},{6},{7}}
[[1,2,5],[3,4],[6],[7],[8]] => [[1,2,3,4],[5,6],[7],[8]] => [[1,2,3,8],[4,5],[6],[7]] => {{1,2,3,8},{4,5},{6},{7}}
[[1,3,4],[2,5],[6],[7],[8]] => [[1,2,4,5],[3,6],[7],[8]] => [[1,3,4,8],[2,5],[6],[7]] => {{1,3,4,8},{2,5},{6},{7}}
[[1,2,4],[3,5],[6],[7],[8]] => [[1,2,3,5],[4,6],[7],[8]] => [[1,2,4,8],[3,5],[6],[7]] => {{1,2,4,8},{3,5},{6},{7}}
[[1,2,3],[4,5],[6],[7],[8]] => [[1,2,3,4,5],[6],[7],[8]] => [[1,2,3,4,8],[5],[6],[7]] => {{1,2,3,4,8},{5},{6},{7}}
[[1,7,8],[2],[3],[4],[5],[6]] => [[1,2,8],[3],[4],[5],[6],[7]] => [[1,7,8],[2],[3],[4],[5],[6]] => {{1,7,8},{2},{3},{4},{5},{6}}
[[1,6,8],[2],[3],[4],[5],[7]] => [[1,2,7],[3],[4],[5],[6],[8]] => [[1,6,8],[2],[3],[4],[5],[7]] => {{1,6,8},{2},{3},{4},{5},{7}}
[[1,5,8],[2],[3],[4],[6],[7]] => [[1,2,6],[3],[4],[5],[7],[8]] => [[1,5,8],[2],[3],[4],[6],[7]] => {{1,5,8},{2},{3},{4},{6},{7}}
[[1,4,8],[2],[3],[5],[6],[7]] => [[1,2,5],[3],[4],[6],[7],[8]] => [[1,4,8],[2],[3],[5],[6],[7]] => {{1,4,8},{2},{3},{5},{6},{7}}
[[1,3,8],[2],[4],[5],[6],[7]] => [[1,2,4],[3],[5],[6],[7],[8]] => [[1,3,8],[2],[4],[5],[6],[7]] => {{1,3,8},{2},{4},{5},{6},{7}}
[[1,2,8],[3],[4],[5],[6],[7]] => [[1,2,3],[4],[5],[6],[7],[8]] => [[1,2,8],[3],[4],[5],[6],[7]] => {{1,2,8},{3},{4},{5},{6},{7}}
[[1,6,7],[2],[3],[4],[5],[8]] => [[1,2,7,8],[3],[4],[5],[6]] => [[1,6,7,8],[2],[3],[4],[5]] => {{1,6,7,8},{2},{3},{4},{5}}
[[1,5,7],[2],[3],[4],[6],[8]] => [[1,2,6,8],[3],[4],[5],[7]] => [[1,5,7,8],[2],[3],[4],[6]] => {{1,5,7,8},{2},{3},{4},{6}}
[[1,4,7],[2],[3],[5],[6],[8]] => [[1,2,5,8],[3],[4],[6],[7]] => [[1,4,7,8],[2],[3],[5],[6]] => {{1,4,7,8},{2},{3},{5},{6}}
[[1,3,7],[2],[4],[5],[6],[8]] => [[1,2,4,8],[3],[5],[6],[7]] => [[1,3,7,8],[2],[4],[5],[6]] => {{1,3,7,8},{2},{4},{5},{6}}
[[1,2,7],[3],[4],[5],[6],[8]] => [[1,2,3,8],[4],[5],[6],[7]] => [[1,2,7,8],[3],[4],[5],[6]] => {{1,2,7,8},{3},{4},{5},{6}}
[[1,5,6],[2],[3],[4],[7],[8]] => [[1,2,6,7],[3],[4],[5],[8]] => [[1,5,6,8],[2],[3],[4],[7]] => {{1,5,6,8},{2},{3},{4},{7}}
[[1,4,6],[2],[3],[5],[7],[8]] => [[1,2,5,7],[3],[4],[6],[8]] => [[1,4,6,8],[2],[3],[5],[7]] => {{1,4,6,8},{2},{3},{5},{7}}
[[1,3,6],[2],[4],[5],[7],[8]] => [[1,2,4,7],[3],[5],[6],[8]] => [[1,3,6,8],[2],[4],[5],[7]] => {{1,3,6,8},{2},{4},{5},{7}}
[[1,2,6],[3],[4],[5],[7],[8]] => [[1,2,3,7],[4],[5],[6],[8]] => [[1,2,6,8],[3],[4],[5],[7]] => {{1,2,6,8},{3},{4},{5},{7}}
[[1,4,5],[2],[3],[6],[7],[8]] => [[1,2,5,6],[3],[4],[7],[8]] => [[1,4,5,8],[2],[3],[6],[7]] => {{1,4,5,8},{2},{3},{6},{7}}
[[1,3,5],[2],[4],[6],[7],[8]] => [[1,2,4,6],[3],[5],[7],[8]] => [[1,3,5,8],[2],[4],[6],[7]] => {{1,3,5,8},{2},{4},{6},{7}}
[[1,2,5],[3],[4],[6],[7],[8]] => [[1,2,3,6],[4],[5],[7],[8]] => [[1,2,5,8],[3],[4],[6],[7]] => {{1,2,5,8},{3},{4},{6},{7}}
[[1,3,4],[2],[5],[6],[7],[8]] => [[1,2,4,5],[3],[6],[7],[8]] => [[1,3,4,8],[2],[5],[6],[7]] => {{1,3,4,8},{2},{5},{6},{7}}
[[1,2,4],[3],[5],[6],[7],[8]] => [[1,2,3,5],[4],[6],[7],[8]] => [[1,2,4,8],[3],[5],[6],[7]] => {{1,2,4,8},{3},{5},{6},{7}}
[[1,2,3],[4],[5],[6],[7],[8]] => [[1,2,3,4],[5],[6],[7],[8]] => [[1,2,3,8],[4],[5],[6],[7]] => {{1,2,3,8},{4},{5},{6},{7}}
[[1,5],[2,6],[3,7],[4,8]] => [[1,2,6],[3,7],[4,8],[5]] => [[1,5,8],[2,6],[3,7],[4]] => {{1,5,8},{2,6},{3,7},{4}}
[[1,4],[2,6],[3,7],[5,8]] => [[1,2,5,6],[3,7],[4,8]] => [[1,4,5,8],[2,6],[3,7]] => {{1,4,5,8},{2,6},{3,7}}
[[1,3],[2,6],[4,7],[5,8]] => [[1,2,4,6],[3,7],[5,8]] => [[1,3,5,8],[2,6],[4,7]] => {{1,3,5,8},{2,6},{4,7}}
[[1,2],[3,6],[4,7],[5,8]] => [[1,2,3,6],[4,7],[5,8]] => [[1,2,5,8],[3,6],[4,7]] => {{1,2,5,8},{3,6},{4,7}}
[[1,4],[2,5],[3,7],[6,8]] => [[1,2,5,7],[3,6],[4,8]] => [[1,4,6,8],[2,5],[3,7]] => {{1,4,6,8},{2,5},{3,7}}
[[1,3],[2,5],[4,7],[6,8]] => [[1,2,4,5],[3,7],[6,8]] => [[1,3,4,8],[2,6],[5,7]] => {{1,3,4,8},{2,6},{5,7}}
[[1,2],[3,5],[4,7],[6,8]] => [[1,2,3,5],[4,7],[6,8]] => [[1,2,4,8],[3,6],[5,7]] => {{1,2,4,8},{3,6},{5,7}}
[[1,3],[2,4],[5,7],[6,8]] => [[1,2,4,7],[3,5],[6,8]] => [[1,3,6,8],[2,4],[5,7]] => {{1,3,6,8},{2,4},{5,7}}
[[1,2],[3,4],[5,7],[6,8]] => [[1,2,3,4],[5,7],[6,8]] => [[1,2,3,8],[4,6],[5,7]] => {{1,2,3,8},{4,6},{5,7}}
[[1,4],[2,5],[3,6],[7,8]] => [[1,2,5,8],[3,6],[4,7]] => [[1,4,7,8],[2,5],[3,6]] => {{1,4,7,8},{2,5},{3,6}}
[[1,3],[2,5],[4,6],[7,8]] => [[1,2,4,5],[3,6],[7,8]] => [[1,3,4,8],[2,5],[6,7]] => {{1,3,4,8},{2,5},{6,7}}
[[1,2],[3,5],[4,6],[7,8]] => [[1,2,3,5],[4,6],[7,8]] => [[1,2,4,8],[3,5],[6,7]] => {{1,2,4,8},{3,5},{6,7}}
[[1,3],[2,4],[5,6],[7,8]] => [[1,2,4,6],[3,5],[7,8]] => [[1,3,5,8],[2,4],[6,7]] => {{1,3,5,8},{2,4},{6,7}}
[[1,2],[3,4],[5,6],[7,8]] => [[1,2,3,4],[5,6],[7,8]] => [[1,2,3,8],[4,5],[6,7]] => {{1,2,3,8},{4,5},{6,7}}
[[1,6],[2,7],[3,8],[4],[5]] => [[1,2,7],[3,8],[4],[5],[6]] => [[1,6,8],[2,7],[3],[4],[5]] => {{1,6,8},{2,7},{3},{4},{5}}
[[1,5],[2,7],[3,8],[4],[6]] => [[1,2,6,7],[3,8],[4],[5]] => [[1,5,6,8],[2,7],[3],[4]] => {{1,5,6,8},{2,7},{3},{4}}
[[1,4],[2,7],[3,8],[5],[6]] => [[1,2,5,7],[3,8],[4],[6]] => [[1,4,6,8],[2,7],[3],[5]] => {{1,4,6,8},{2,7},{3},{5}}
[[1,3],[2,7],[4,8],[5],[6]] => [[1,2,4,7],[3,8],[5],[6]] => [[1,3,6,8],[2,7],[4],[5]] => {{1,3,6,8},{2,7},{4},{5}}
[[1,2],[3,7],[4,8],[5],[6]] => [[1,2,3,7],[4,8],[5],[6]] => [[1,2,6,8],[3,7],[4],[5]] => {{1,2,6,8},{3,7},{4},{5}}
[[1,5],[2,6],[3,8],[4],[7]] => [[1,2,6,8],[3,7],[4],[5]] => [[1,5,7,8],[2,6],[3],[4]] => {{1,5,7,8},{2,6},{3},{4}}
[[1,4],[2,6],[3,8],[5],[7]] => [[1,2,5,6],[3,8],[4],[7]] => [[1,4,5,8],[2,7],[3],[6]] => {{1,4,5,8},{2,7},{3},{6}}
[[1,3],[2,6],[4,8],[5],[7]] => [[1,2,4,6],[3,8],[5],[7]] => [[1,3,5,8],[2,7],[4],[6]] => {{1,3,5,8},{2,7},{4},{6}}
[[1,2],[3,6],[4,8],[5],[7]] => [[1,2,3,6],[4,8],[5],[7]] => [[1,2,5,8],[3,7],[4],[6]] => {{1,2,5,8},{3,7},{4},{6}}
[[1,4],[2,5],[3,8],[6],[7]] => [[1,2,5,8],[3,6],[4],[7]] => [[1,4,7,8],[2,5],[3],[6]] => {{1,4,7,8},{2,5},{3},{6}}
[[1,3],[2,5],[4,8],[6],[7]] => [[1,2,4,5],[3,8],[6],[7]] => [[1,3,4,8],[2,7],[5],[6]] => {{1,3,4,8},{2,7},{5},{6}}
[[1,2],[3,5],[4,8],[6],[7]] => [[1,2,3,5],[4,8],[6],[7]] => [[1,2,4,8],[3,7],[5],[6]] => {{1,2,4,8},{3,7},{5},{6}}
[[1,3],[2,4],[5,8],[6],[7]] => [[1,2,4,8],[3,5],[6],[7]] => [[1,3,7,8],[2,4],[5],[6]] => {{1,3,7,8},{2,4},{5},{6}}
[[1,2],[3,4],[5,8],[6],[7]] => [[1,2,3,4],[5,8],[6],[7]] => [[1,2,3,8],[4,7],[5],[6]] => {{1,2,3,8},{4,7},{5},{6}}
[[1,5],[2,6],[3,7],[4],[8]] => [[1,2,6],[3,7],[4,8],[5]] => [[1,5,8],[2,6],[3,7],[4]] => {{1,5,8},{2,6},{3,7},{4}}
[[1,4],[2,6],[3,7],[5],[8]] => [[1,2,5,6],[3,7],[4],[8]] => [[1,4,5,8],[2,6],[3],[7]] => {{1,4,5,8},{2,6},{3},{7}}
[[1,3],[2,6],[4,7],[5],[8]] => [[1,2,4,6],[3,7],[5],[8]] => [[1,3,5,8],[2,6],[4],[7]] => {{1,3,5,8},{2,6},{4},{7}}
[[1,2],[3,6],[4,7],[5],[8]] => [[1,2,3,6],[4,7],[5],[8]] => [[1,2,5,8],[3,6],[4],[7]] => {{1,2,5,8},{3,6},{4},{7}}
[[1,4],[2,5],[3,7],[6],[8]] => [[1,2,5,7],[3,6],[4],[8]] => [[1,4,6,8],[2,5],[3],[7]] => {{1,4,6,8},{2,5},{3},{7}}
[[1,3],[2,5],[4,7],[6],[8]] => [[1,2,4,5],[3,7],[6],[8]] => [[1,3,4,8],[2,6],[5],[7]] => {{1,3,4,8},{2,6},{5},{7}}
[[1,2],[3,5],[4,7],[6],[8]] => [[1,2,3,5],[4,7],[6],[8]] => [[1,2,4,8],[3,6],[5],[7]] => {{1,2,4,8},{3,6},{5},{7}}
[[1,3],[2,4],[5,7],[6],[8]] => [[1,2,4,7],[3,5],[6],[8]] => [[1,3,6,8],[2,4],[5],[7]] => {{1,3,6,8},{2,4},{5},{7}}
[[1,2],[3,4],[5,7],[6],[8]] => [[1,2,3,4],[5,7],[6],[8]] => [[1,2,3,8],[4,6],[5],[7]] => {{1,2,3,8},{4,6},{5},{7}}
[[1,4],[2,5],[3,6],[7],[8]] => [[1,2,5],[3,6],[4,7],[8]] => [[1,4,8],[2,5],[3,6],[7]] => {{1,4,8},{2,5},{3,6},{7}}
[[1,3],[2,5],[4,6],[7],[8]] => [[1,2,4,5],[3,6],[7],[8]] => [[1,3,4,8],[2,5],[6],[7]] => {{1,3,4,8},{2,5},{6},{7}}
[[1,2],[3,5],[4,6],[7],[8]] => [[1,2,3,5],[4,6],[7],[8]] => [[1,2,4,8],[3,5],[6],[7]] => {{1,2,4,8},{3,5},{6},{7}}
[[1,3],[2,4],[5,6],[7],[8]] => [[1,2,4,6],[3,5],[7],[8]] => [[1,3,5,8],[2,4],[6],[7]] => {{1,3,5,8},{2,4},{6},{7}}
[[1,2],[3,4],[5,6],[7],[8]] => [[1,2,3,4],[5,6],[7],[8]] => [[1,2,3,8],[4,5],[6],[7]] => {{1,2,3,8},{4,5},{6},{7}}
[[1,7],[2,8],[3],[4],[5],[6]] => [[1,2,8],[3],[4],[5],[6],[7]] => [[1,7,8],[2],[3],[4],[5],[6]] => {{1,7,8},{2},{3},{4},{5},{6}}
[[1,6],[2,8],[3],[4],[5],[7]] => [[1,2,7,8],[3],[4],[5],[6]] => [[1,6,7,8],[2],[3],[4],[5]] => {{1,6,7,8},{2},{3},{4},{5}}
[[1,5],[2,8],[3],[4],[6],[7]] => [[1,2,6,8],[3],[4],[5],[7]] => [[1,5,7,8],[2],[3],[4],[6]] => {{1,5,7,8},{2},{3},{4},{6}}
[[1,4],[2,8],[3],[5],[6],[7]] => [[1,2,5,8],[3],[4],[6],[7]] => [[1,4,7,8],[2],[3],[5],[6]] => {{1,4,7,8},{2},{3},{5},{6}}
[[1,3],[2,8],[4],[5],[6],[7]] => [[1,2,4,8],[3],[5],[6],[7]] => [[1,3,7,8],[2],[4],[5],[6]] => {{1,3,7,8},{2},{4},{5},{6}}
[[1,2],[3,8],[4],[5],[6],[7]] => [[1,2,3,8],[4],[5],[6],[7]] => [[1,2,7,8],[3],[4],[5],[6]] => {{1,2,7,8},{3},{4},{5},{6}}
[[1,6],[2,7],[3],[4],[5],[8]] => [[1,2,7],[3,8],[4],[5],[6]] => [[1,6,8],[2,7],[3],[4],[5]] => {{1,6,8},{2,7},{3},{4},{5}}
[[1,5],[2,7],[3],[4],[6],[8]] => [[1,2,6,7],[3],[4],[5],[8]] => [[1,5,6,8],[2],[3],[4],[7]] => {{1,5,6,8},{2},{3},{4},{7}}
[[1,4],[2,7],[3],[5],[6],[8]] => [[1,2,5,7],[3],[4],[6],[8]] => [[1,4,6,8],[2],[3],[5],[7]] => {{1,4,6,8},{2},{3},{5},{7}}
[[1,3],[2,7],[4],[5],[6],[8]] => [[1,2,4,7],[3],[5],[6],[8]] => [[1,3,6,8],[2],[4],[5],[7]] => {{1,3,6,8},{2},{4},{5},{7}}
[[1,2],[3,7],[4],[5],[6],[8]] => [[1,2,3,7],[4],[5],[6],[8]] => [[1,2,6,8],[3],[4],[5],[7]] => {{1,2,6,8},{3},{4},{5},{7}}
[[1,5],[2,6],[3],[4],[7],[8]] => [[1,2,6],[3,7],[4],[5],[8]] => [[1,5,8],[2,6],[3],[4],[7]] => {{1,5,8},{2,6},{3},{4},{7}}
[[1,4],[2,6],[3],[5],[7],[8]] => [[1,2,5,6],[3],[4],[7],[8]] => [[1,4,5,8],[2],[3],[6],[7]] => {{1,4,5,8},{2},{3},{6},{7}}
[[1,3],[2,6],[4],[5],[7],[8]] => [[1,2,4,6],[3],[5],[7],[8]] => [[1,3,5,8],[2],[4],[6],[7]] => {{1,3,5,8},{2},{4},{6},{7}}
[[1,2],[3,6],[4],[5],[7],[8]] => [[1,2,3,6],[4],[5],[7],[8]] => [[1,2,5,8],[3],[4],[6],[7]] => {{1,2,5,8},{3},{4},{6},{7}}
[[1,4],[2,5],[3],[6],[7],[8]] => [[1,2,5],[3,6],[4],[7],[8]] => [[1,4,8],[2,5],[3],[6],[7]] => {{1,4,8},{2,5},{3},{6},{7}}
[[1,3],[2,5],[4],[6],[7],[8]] => [[1,2,4,5],[3],[6],[7],[8]] => [[1,3,4,8],[2],[5],[6],[7]] => {{1,3,4,8},{2},{5},{6},{7}}
[[1,2],[3,5],[4],[6],[7],[8]] => [[1,2,3,5],[4],[6],[7],[8]] => [[1,2,4,8],[3],[5],[6],[7]] => {{1,2,4,8},{3},{5},{6},{7}}
[[1,3],[2,4],[5],[6],[7],[8]] => [[1,2,4],[3,5],[6],[7],[8]] => [[1,3,8],[2,4],[5],[6],[7]] => {{1,3,8},{2,4},{5},{6},{7}}
[[1,2],[3,4],[5],[6],[7],[8]] => [[1,2,3,4],[5],[6],[7],[8]] => [[1,2,3,8],[4],[5],[6],[7]] => {{1,2,3,8},{4},{5},{6},{7}}
[[1,8],[2],[3],[4],[5],[6],[7]] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[1,8],[2],[3],[4],[5],[6],[7]] => {{1,8},{2},{3},{4},{5},{6},{7}}
[[1,7],[2],[3],[4],[5],[6],[8]] => [[1,2,8],[3],[4],[5],[6],[7]] => [[1,7,8],[2],[3],[4],[5],[6]] => {{1,7,8},{2},{3},{4},{5},{6}}
[[1,6],[2],[3],[4],[5],[7],[8]] => [[1,2,7],[3],[4],[5],[6],[8]] => [[1,6,8],[2],[3],[4],[5],[7]] => {{1,6,8},{2},{3},{4},{5},{7}}
[[1,5],[2],[3],[4],[6],[7],[8]] => [[1,2,6],[3],[4],[5],[7],[8]] => [[1,5,8],[2],[3],[4],[6],[7]] => {{1,5,8},{2},{3},{4},{6},{7}}
[[1,4],[2],[3],[5],[6],[7],[8]] => [[1,2,5],[3],[4],[6],[7],[8]] => [[1,4,8],[2],[3],[5],[6],[7]] => {{1,4,8},{2},{3},{5},{6},{7}}
[[1,3],[2],[4],[5],[6],[7],[8]] => [[1,2,4],[3],[5],[6],[7],[8]] => [[1,3,8],[2],[4],[5],[6],[7]] => {{1,3,8},{2},{4},{5},{6},{7}}
[[1,2],[3],[4],[5],[6],[7],[8]] => [[1,2,3],[4],[5],[6],[7],[8]] => [[1,2,8],[3],[4],[5],[6],[7]] => {{1,2,8},{3},{4},{5},{6},{7}}
[[1],[2],[3],[4],[5],[6],[7],[8]] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[1,8],[2],[3],[4],[5],[6],[7]] => {{1,8},{2},{3},{4},{5},{6},{7}}
[[1,3,5,7,9],[2,4,6,8,10]] => [[1,2,4,6,8,10],[3,5,7,9]] => [[1,3,5,7,9,10],[2,4,6,8]] => {{1,3,5,7,9,10},{2,4,6,8}}
[[1,3,5,7,8],[2,4,6,9,10]] => [[1,2,4,6,8,9,10],[3,5,7]] => [[1,3,5,7,8,9,10],[2,4,6]] => {{1,3,5,7,8,9,10},{2,4,6}}
[[1,3,5,6,8],[2,4,7,9,10]] => [[1,2,4,6,7,9,10],[3,5,8]] => [[1,3,5,6,8,9,10],[2,4,7]] => {{1,3,5,6,8,9,10},{2,4,7}}
[[1,3,5,6,7],[2,4,8,9,10]] => [[1,2,4,6,7,8,9,10],[3,5]] => [[1,3,5,6,7,8,9,10],[2,4]] => {{1,3,5,6,7,8,9,10},{2,4}}
[[1,3,4,6,7],[2,5,8,9,10]] => [[1,2,4,5,7,8,9,10],[3,6]] => [[1,3,4,6,7,8,9,10],[2,5]] => {{1,3,4,6,7,8,9,10},{2,5}}
[[1,3,4,5,6],[2,7,8,9,10]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => {{1,3,4,5,6,7,8,9,10},{2}}
[[1,2,5,7,9],[3,4,6,8,10]] => [[1,2,3,4,6,8,10],[5,7,9]] => [[1,2,3,5,7,9,10],[4,6,8]] => {{1,2,3,5,7,9,10},{4,6,8}}
[[1,2,5,6,7],[3,4,8,9,10]] => [[1,2,3,4,7,8,9,10],[5,6]] => [[1,2,3,6,7,8,9,10],[4,5]] => {{1,2,3,6,7,8,9,10},{4,5}}
[[1,2,4,7,9],[3,5,6,8,10]] => [[1,2,3,5,6,8,10],[4,7,9]] => [[1,2,4,5,7,9,10],[3,6,8]] => {{1,2,4,5,7,9,10},{3,6,8}}
[[1,2,4,6,9],[3,5,7,8,10]] => [[1,2,3,5,7,8,10],[4,6,9]] => [[1,2,4,6,7,9,10],[3,5,8]] => {{1,2,4,6,7,9,10},{3,5,8}}
[[1,2,4,6,8],[3,5,7,9,10]] => [[1,2,3,5,7,9,10],[4,6,8]] => [[1,2,4,6,8,9,10],[3,5,7]] => {{1,2,4,6,8,9,10},{3,5,7}}
[[1,2,4,6,7],[3,5,8,9,10]] => [[1,2,3,5,7,8,9,10],[4,6]] => [[1,2,4,6,7,8,9,10],[3,5]] => {{1,2,4,6,7,8,9,10},{3,5}}
[[1,2,4,5,9],[3,6,7,8,10]] => [[1,2,3,5,6,7,8,10],[4,9]] => [[1,2,4,5,6,7,9,10],[3,8]] => {{1,2,4,5,6,7,9,10},{3,8}}
[[1,2,4,5,8],[3,6,7,9,10]] => [[1,2,3,5,6,7,9,10],[4,8]] => [[1,2,4,5,6,8,9,10],[3,7]] => {{1,2,4,5,6,8,9,10},{3,7}}
[[1,2,4,5,7],[3,6,8,9,10]] => [[1,2,3,5,6,8,9,10],[4,7]] => [[1,2,4,5,7,8,9,10],[3,6]] => {{1,2,4,5,7,8,9,10},{3,6}}
[[1,2,4,5,6],[3,7,8,9,10]] => [[1,2,3,5,6,7,8,9,10],[4]] => [[1,2,4,5,6,7,8,9,10],[3]] => {{1,2,4,5,6,7,8,9,10},{3}}
[[1,2,3,7,9],[4,5,6,8,10]] => [[1,2,3,4,5,6,8,10],[7,9]] => [[1,2,3,4,5,7,9,10],[6,8]] => {{1,2,3,4,5,7,9,10},{6,8}}
[[1,2,3,7,8],[4,5,6,9,10]] => [[1,2,3,4,5,6,9,10],[7,8]] => [[1,2,3,4,5,8,9,10],[6,7]] => {{1,2,3,4,5,8,9,10},{6,7}}
[[1,2,3,6,9],[4,5,7,8,10]] => [[1,2,3,4,5,7,8,10],[6,9]] => [[1,2,3,4,6,7,9,10],[5,8]] => {{1,2,3,4,6,7,9,10},{5,8}}
[[1,2,3,6,8],[4,5,7,9,10]] => [[1,2,3,4,5,7,9,10],[6,8]] => [[1,2,3,4,6,8,9,10],[5,7]] => {{1,2,3,4,6,8,9,10},{5,7}}
[[1,2,3,6,7],[4,5,8,9,10]] => [[1,2,3,4,5,8,9,10],[6,7]] => [[1,2,3,4,7,8,9,10],[5,6]] => {{1,2,3,4,7,8,9,10},{5,6}}
[[1,2,3,5,9],[4,6,7,8,10]] => [[1,2,3,4,6,7,8,10],[5,9]] => [[1,2,3,5,6,7,9,10],[4,8]] => {{1,2,3,5,6,7,9,10},{4,8}}
[[1,2,3,5,8],[4,6,7,9,10]] => [[1,2,3,4,6,7,9,10],[5,8]] => [[1,2,3,5,6,8,9,10],[4,7]] => {{1,2,3,5,6,8,9,10},{4,7}}
[[1,2,3,5,7],[4,6,8,9,10]] => [[1,2,3,4,6,8,9,10],[5,7]] => [[1,2,3,5,7,8,9,10],[4,6]] => {{1,2,3,5,7,8,9,10},{4,6}}
[[1,2,3,5,6],[4,7,8,9,10]] => [[1,2,3,4,6,7,8,9,10],[5]] => [[1,2,3,5,6,7,8,9,10],[4]] => {{1,2,3,5,6,7,8,9,10},{4}}
[[1,2,3,4,9],[5,6,7,8,10]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,3,4,5,6,7,9,10],[8]] => {{1,2,3,4,5,6,7,9,10},{8}}
[[1,2,3,4,8],[5,6,7,9,10]] => [[1,2,3,4,5,6,7,9,10],[8]] => [[1,2,3,4,5,6,8,9,10],[7]] => {{1,2,3,4,5,6,8,9,10},{7}}
[[1,2,3,4,7],[5,6,8,9,10]] => [[1,2,3,4,5,6,8,9,10],[7]] => [[1,2,3,4,5,7,8,9,10],[6]] => {{1,2,3,4,5,7,8,9,10},{6}}
[[1,2,3,4,6],[5,7,8,9,10]] => [[1,2,3,4,5,7,8,9,10],[6]] => [[1,2,3,4,6,7,8,9,10],[5]] => {{1,2,3,4,6,7,8,9,10},{5}}
[[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]] => {{1,2,3,4,5,6,7,8,9,10}}
[[1,2,5,7,9,11],[3,4,6,8,10,12]] => [[1,2,3,4,6,8,10,12],[5,7,9,11]] => [[1,2,3,5,7,9,11,12],[4,6,8,10]] => {{1,2,3,5,7,9,11,12},{4,6,8,10}}
[[1,2,4,7,9,11],[3,5,6,8,10,12]] => [[1,2,3,5,6,8,10,12],[4,7,9,11]] => [[1,2,4,5,7,9,11,12],[3,6,8,10]] => {{1,2,4,5,7,9,11,12},{3,6,8,10}}
[[1,2,4,6,9,11],[3,5,7,8,10,12]] => [[1,2,3,5,7,8,10,12],[4,6,9,11]] => [[1,2,4,6,7,9,11,12],[3,5,8,10]] => {{1,2,4,6,7,9,11,12},{3,5,8,10}}
[[1,2,4,6,8,11],[3,5,7,9,10,12]] => [[1,2,3,5,7,9,10,12],[4,6,8,11]] => [[1,2,4,6,8,9,11,12],[3,5,7,10]] => {{1,2,4,6,8,9,11,12},{3,5,7,10}}
[[1,2,4,6,8,10],[3,5,7,9,11,12]] => [[1,2,3,5,7,9,11,12],[4,6,8,10]] => [[1,2,4,6,8,10,11,12],[3,5,7,9]] => {{1,2,4,6,8,10,11,12},{3,5,7,9}}
[[1,2,4,6,8,9],[3,5,7,10,11,12]] => [[1,2,3,5,7,9,10,11,12],[4,6,8]] => [[1,2,4,6,8,9,10,11,12],[3,5,7]] => {{1,2,4,6,8,9,10,11,12},{3,5,7}}
[[1,2,4,6,7,11],[3,5,8,9,10,12]] => [[1,2,3,5,7,8,9,10,12],[4,6,11]] => [[1,2,4,6,7,8,9,11,12],[3,5,10]] => {{1,2,4,6,7,8,9,11,12},{3,5,10}}
[[1,2,4,6,7,10],[3,5,8,9,11,12]] => [[1,2,3,5,7,8,9,11,12],[4,6,10]] => [[1,2,4,6,7,8,10,11,12],[3,5,9]] => {{1,2,4,6,7,8,10,11,12},{3,5,9}}
[[1,2,4,6,7,9],[3,5,8,10,11,12]] => [[1,2,3,5,7,8,10,11,12],[4,6,9]] => [[1,2,4,6,7,9,10,11,12],[3,5,8]] => {{1,2,4,6,7,9,10,11,12},{3,5,8}}
[[1,2,4,6,7,8],[3,5,9,10,11,12]] => [[1,2,3,5,7,8,9,10,11,12],[4,6]] => [[1,2,4,6,7,8,9,10,11,12],[3,5]] => {{1,2,4,6,7,8,9,10,11,12},{3,5}}
[[1,2,4,5,9,11],[3,6,7,8,10,12]] => [[1,2,3,5,6,7,8,10,12],[4,9,11]] => [[1,2,4,5,6,7,9,11,12],[3,8,10]] => {{1,2,4,5,6,7,9,11,12},{3,8,10}}
[[1,2,4,5,9,10],[3,6,7,8,11,12]] => [[1,2,3,5,6,7,8,11,12],[4,9,10]] => [[1,2,4,5,6,7,10,11,12],[3,8,9]] => {{1,2,4,5,6,7,10,11,12},{3,8,9}}
[[1,2,4,5,8,11],[3,6,7,9,10,12]] => [[1,2,3,5,6,7,9,10,12],[4,8,11]] => [[1,2,4,5,6,8,9,11,12],[3,7,10]] => {{1,2,4,5,6,8,9,11,12},{3,7,10}}
[[1,2,4,5,8,10],[3,6,7,9,11,12]] => [[1,2,3,5,6,7,9,11,12],[4,8,10]] => [[1,2,4,5,6,8,10,11,12],[3,7,9]] => {{1,2,4,5,6,8,10,11,12},{3,7,9}}
[[1,2,4,5,8,9],[3,6,7,10,11,12]] => [[1,2,3,5,6,7,10,11,12],[4,8,9]] => [[1,2,4,5,6,9,10,11,12],[3,7,8]] => {{1,2,4,5,6,9,10,11,12},{3,7,8}}
[[1,2,4,5,7,11],[3,6,8,9,10,12]] => [[1,2,3,5,6,8,9,10,12],[4,7,11]] => [[1,2,4,5,7,8,9,11,12],[3,6,10]] => {{1,2,4,5,7,8,9,11,12},{3,6,10}}
[[1,2,4,5,7,10],[3,6,8,9,11,12]] => [[1,2,3,5,6,8,9,11,12],[4,7,10]] => [[1,2,4,5,7,8,10,11,12],[3,6,9]] => {{1,2,4,5,7,8,10,11,12},{3,6,9}}
[[1,2,4,5,7,9],[3,6,8,10,11,12]] => [[1,2,3,5,6,8,10,11,12],[4,7,9]] => [[1,2,4,5,7,9,10,11,12],[3,6,8]] => {{1,2,4,5,7,9,10,11,12},{3,6,8}}
[[1,2,4,5,7,8],[3,6,9,10,11,12]] => [[1,2,3,5,6,8,9,10,11,12],[4,7]] => [[1,2,4,5,7,8,9,10,11,12],[3,6]] => {{1,2,4,5,7,8,9,10,11,12},{3,6}}
[[1,2,4,5,6,11],[3,7,8,9,10,12]] => [[1,2,3,5,6,7,8,9,10,12],[4,11]] => [[1,2,4,5,6,7,8,9,11,12],[3,10]] => {{1,2,4,5,6,7,8,9,11,12},{3,10}}
[[1,2,4,5,6,10],[3,7,8,9,11,12]] => [[1,2,3,5,6,7,8,9,11,12],[4,10]] => [[1,2,4,5,6,7,8,10,11,12],[3,9]] => {{1,2,4,5,6,7,8,10,11,12},{3,9}}
[[1,2,4,5,6,9],[3,7,8,10,11,12]] => [[1,2,3,5,6,7,8,10,11,12],[4,9]] => [[1,2,4,5,6,7,9,10,11,12],[3,8]] => {{1,2,4,5,6,7,9,10,11,12},{3,8}}
[[1,2,4,5,6,8],[3,7,9,10,11,12]] => [[1,2,3,5,6,7,9,10,11,12],[4,8]] => [[1,2,4,5,6,8,9,10,11,12],[3,7]] => {{1,2,4,5,6,8,9,10,11,12},{3,7}}
[[1,2,4,5,6,7],[3,8,9,10,11,12]] => [[1,2,3,5,6,7,8,9,10,11,12],[4]] => [[1,2,4,5,6,7,8,9,10,11,12],[3]] => {{1,2,4,5,6,7,8,9,10,11,12},{3}}
[[1,2,3,7,9,11],[4,5,6,8,10,12]] => [[1,2,3,4,5,6,8,10,12],[7,9,11]] => [[1,2,3,4,5,7,9,11,12],[6,8,10]] => {{1,2,3,4,5,7,9,11,12},{6,8,10}}
[[1,2,3,7,9,10],[4,5,6,8,11,12]] => [[1,2,3,4,5,6,8,11,12],[7,9,10]] => [[1,2,3,4,5,7,10,11,12],[6,8,9]] => {{1,2,3,4,5,7,10,11,12},{6,8,9}}
[[1,2,3,7,8,11],[4,5,6,9,10,12]] => [[1,2,3,4,5,6,9,10,12],[7,8,11]] => [[1,2,3,4,5,8,9,11,12],[6,7,10]] => {{1,2,3,4,5,8,9,11,12},{6,7,10}}
[[1,2,3,7,8,10],[4,5,6,9,11,12]] => [[1,2,3,4,5,6,9,11,12],[7,8,10]] => [[1,2,3,4,5,8,10,11,12],[6,7,9]] => {{1,2,3,4,5,8,10,11,12},{6,7,9}}
[[1,2,3,6,9,11],[4,5,7,8,10,12]] => [[1,2,3,4,5,7,8,10,12],[6,9,11]] => [[1,2,3,4,6,7,9,11,12],[5,8,10]] => {{1,2,3,4,6,7,9,11,12},{5,8,10}}
[[1,2,3,6,9,10],[4,5,7,8,11,12]] => [[1,2,3,4,5,7,8,11,12],[6,9,10]] => [[1,2,3,4,6,7,10,11,12],[5,8,9]] => {{1,2,3,4,6,7,10,11,12},{5,8,9}}
[[1,2,3,6,8,11],[4,5,7,9,10,12]] => [[1,2,3,4,5,7,9,10,12],[6,8,11]] => [[1,2,3,4,6,8,9,11,12],[5,7,10]] => {{1,2,3,4,6,8,9,11,12},{5,7,10}}
[[1,2,3,6,8,10],[4,5,7,9,11,12]] => [[1,2,3,4,5,7,9,11,12],[6,8,10]] => [[1,2,3,4,6,8,10,11,12],[5,7,9]] => {{1,2,3,4,6,8,10,11,12},{5,7,9}}
[[1,2,3,6,8,9],[4,5,7,10,11,12]] => [[1,2,3,4,5,7,10,11,12],[6,8,9]] => [[1,2,3,4,6,9,10,11,12],[5,7,8]] => {{1,2,3,4,6,9,10,11,12},{5,7,8}}
[[1,2,3,6,7,11],[4,5,8,9,10,12]] => [[1,2,3,4,5,8,9,10,12],[6,7,11]] => [[1,2,3,4,7,8,9,11,12],[5,6,10]] => {{1,2,3,4,7,8,9,11,12},{5,6,10}}
[[1,2,3,6,7,10],[4,5,8,9,11,12]] => [[1,2,3,4,5,8,9,11,12],[6,7,10]] => [[1,2,3,4,7,8,10,11,12],[5,6,9]] => {{1,2,3,4,7,8,10,11,12},{5,6,9}}
[[1,2,3,6,7,9],[4,5,8,10,11,12]] => [[1,2,3,4,5,8,10,11,12],[6,7,9]] => [[1,2,3,4,7,9,10,11,12],[5,6,8]] => {{1,2,3,4,7,9,10,11,12},{5,6,8}}
[[1,2,3,6,7,8],[4,5,9,10,11,12]] => [[1,2,3,4,5,8,9,10,11,12],[6,7]] => [[1,2,3,4,7,8,9,10,11,12],[5,6]] => {{1,2,3,4,7,8,9,10,11,12},{5,6}}
[[1,2,3,5,9,11],[4,6,7,8,10,12]] => [[1,2,3,4,6,7,8,10,12],[5,9,11]] => [[1,2,3,5,6,7,9,11,12],[4,8,10]] => {{1,2,3,5,6,7,9,11,12},{4,8,10}}
[[1,2,3,5,9,10],[4,6,7,8,11,12]] => [[1,2,3,4,6,7,8,11,12],[5,9,10]] => [[1,2,3,5,6,7,10,11,12],[4,8,9]] => {{1,2,3,5,6,7,10,11,12},{4,8,9}}
[[1,2,3,5,8,11],[4,6,7,9,10,12]] => [[1,2,3,4,6,7,9,10,12],[5,8,11]] => [[1,2,3,5,6,8,9,11,12],[4,7,10]] => {{1,2,3,5,6,8,9,11,12},{4,7,10}}
[[1,2,3,5,8,10],[4,6,7,9,11,12]] => [[1,2,3,4,6,7,9,11,12],[5,8,10]] => [[1,2,3,5,6,8,10,11,12],[4,7,9]] => {{1,2,3,5,6,8,10,11,12},{4,7,9}}
[[1,2,3,5,8,9],[4,6,7,10,11,12]] => [[1,2,3,4,6,7,10,11,12],[5,8,9]] => [[1,2,3,5,6,9,10,11,12],[4,7,8]] => {{1,2,3,5,6,9,10,11,12},{4,7,8}}
[[1,2,3,5,7,11],[4,6,8,9,10,12]] => [[1,2,3,4,6,8,9,10,12],[5,7,11]] => [[1,2,3,5,7,8,9,11,12],[4,6,10]] => {{1,2,3,5,7,8,9,11,12},{4,6,10}}
[[1,2,3,5,7,10],[4,6,8,9,11,12]] => [[1,2,3,4,6,8,9,11,12],[5,7,10]] => [[1,2,3,5,7,8,10,11,12],[4,6,9]] => {{1,2,3,5,7,8,10,11,12},{4,6,9}}
[[1,2,3,5,7,9],[4,6,8,10,11,12]] => [[1,2,3,4,6,8,10,11,12],[5,7,9]] => [[1,2,3,5,7,9,10,11,12],[4,6,8]] => {{1,2,3,5,7,9,10,11,12},{4,6,8}}
[[1,2,3,5,7,8],[4,6,9,10,11,12]] => [[1,2,3,4,6,8,9,10,11,12],[5,7]] => [[1,2,3,5,7,8,9,10,11,12],[4,6]] => {{1,2,3,5,7,8,9,10,11,12},{4,6}}
[[1,2,3,5,6,11],[4,7,8,9,10,12]] => [[1,2,3,4,6,7,8,9,10,12],[5,11]] => [[1,2,3,5,6,7,8,9,11,12],[4,10]] => {{1,2,3,5,6,7,8,9,11,12},{4,10}}
[[1,2,3,5,6,10],[4,7,8,9,11,12]] => [[1,2,3,4,6,7,8,9,11,12],[5,10]] => [[1,2,3,5,6,7,8,10,11,12],[4,9]] => {{1,2,3,5,6,7,8,10,11,12},{4,9}}
[[1,2,3,5,6,9],[4,7,8,10,11,12]] => [[1,2,3,4,6,7,8,10,11,12],[5,9]] => [[1,2,3,5,6,7,9,10,11,12],[4,8]] => {{1,2,3,5,6,7,9,10,11,12},{4,8}}
[[1,2,3,5,6,8],[4,7,9,10,11,12]] => [[1,2,3,4,6,7,9,10,11,12],[5,8]] => [[1,2,3,5,6,8,9,10,11,12],[4,7]] => {{1,2,3,5,6,8,9,10,11,12},{4,7}}
[[1,2,3,5,6,7],[4,8,9,10,11,12]] => [[1,2,3,4,6,7,8,9,10,11,12],[5]] => [[1,2,3,5,6,7,8,9,10,11,12],[4]] => {{1,2,3,5,6,7,8,9,10,11,12},{4}}
[[1,2,3,4,9,11],[5,6,7,8,10,12]] => [[1,2,3,4,5,6,7,8,10,12],[9,11]] => [[1,2,3,4,5,6,7,9,11,12],[8,10]] => {{1,2,3,4,5,6,7,9,11,12},{8,10}}
[[1,2,3,4,9,10],[5,6,7,8,11,12]] => [[1,2,3,4,5,6,7,8,11,12],[9,10]] => [[1,2,3,4,5,6,7,10,11,12],[8,9]] => {{1,2,3,4,5,6,7,10,11,12},{8,9}}
[[1,2,3,4,8,11],[5,6,7,9,10,12]] => [[1,2,3,4,5,6,7,9,10,12],[8,11]] => [[1,2,3,4,5,6,8,9,11,12],[7,10]] => {{1,2,3,4,5,6,8,9,11,12},{7,10}}
[[1,2,3,4,8,10],[5,6,7,9,11,12]] => [[1,2,3,4,5,6,7,9,11,12],[8,10]] => [[1,2,3,4,5,6,8,10,11,12],[7,9]] => {{1,2,3,4,5,6,8,10,11,12},{7,9}}
[[1,2,3,4,8,9],[5,6,7,10,11,12]] => [[1,2,3,4,5,6,7,10,11,12],[8,9]] => [[1,2,3,4,5,6,9,10,11,12],[7,8]] => {{1,2,3,4,5,6,9,10,11,12},{7,8}}
[[1,2,3,4,7,11],[5,6,8,9,10,12]] => [[1,2,3,4,5,6,8,9,10,12],[7,11]] => [[1,2,3,4,5,7,8,9,11,12],[6,10]] => {{1,2,3,4,5,7,8,9,11,12},{6,10}}
[[1,2,3,4,7,10],[5,6,8,9,11,12]] => [[1,2,3,4,5,6,8,9,11,12],[7,10]] => [[1,2,3,4,5,7,8,10,11,12],[6,9]] => {{1,2,3,4,5,7,8,10,11,12},{6,9}}
[[1,2,3,4,7,9],[5,6,8,10,11,12]] => [[1,2,3,4,5,6,8,10,11,12],[7,9]] => [[1,2,3,4,5,7,9,10,11,12],[6,8]] => {{1,2,3,4,5,7,9,10,11,12},{6,8}}
[[1,2,3,4,7,8],[5,6,9,10,11,12]] => [[1,2,3,4,5,6,9,10,11,12],[7,8]] => [[1,2,3,4,5,8,9,10,11,12],[6,7]] => {{1,2,3,4,5,8,9,10,11,12},{6,7}}
[[1,2,3,4,6,11],[5,7,8,9,10,12]] => [[1,2,3,4,5,7,8,9,10,12],[6,11]] => [[1,2,3,4,6,7,8,9,11,12],[5,10]] => {{1,2,3,4,6,7,8,9,11,12},{5,10}}
[[1,2,3,4,6,10],[5,7,8,9,11,12]] => [[1,2,3,4,5,7,8,9,11,12],[6,10]] => [[1,2,3,4,6,7,8,10,11,12],[5,9]] => {{1,2,3,4,6,7,8,10,11,12},{5,9}}
[[1,2,3,4,6,9],[5,7,8,10,11,12]] => [[1,2,3,4,5,7,8,10,11,12],[6,9]] => [[1,2,3,4,6,7,9,10,11,12],[5,8]] => {{1,2,3,4,6,7,9,10,11,12},{5,8}}
[[1,2,3,4,6,8],[5,7,9,10,11,12]] => [[1,2,3,4,5,7,9,10,11,12],[6,8]] => [[1,2,3,4,6,8,9,10,11,12],[5,7]] => {{1,2,3,4,6,8,9,10,11,12},{5,7}}
[[1,2,3,4,6,7],[5,8,9,10,11,12]] => [[1,2,3,4,5,7,8,9,10,11,12],[6]] => [[1,2,3,4,6,7,8,9,10,11,12],[5]] => {{1,2,3,4,6,7,8,9,10,11,12},{5}}
[[1,2,3,4,5,11],[6,7,8,9,10,12]] => [[1,2,3,4,5,6,7,8,9,10,12],[11]] => [[1,2,3,4,5,6,7,8,9,11,12],[10]] => {{1,2,3,4,5,6,7,8,9,11,12},{10}}
[[1,2,3,4,5,10],[6,7,8,9,11,12]] => [[1,2,3,4,5,6,7,8,9,11,12],[10]] => [[1,2,3,4,5,6,7,8,10,11,12],[9]] => {{1,2,3,4,5,6,7,8,10,11,12},{9}}
[[1,2,3,4,5,9],[6,7,8,10,11,12]] => [[1,2,3,4,5,6,7,8,10,11,12],[9]] => [[1,2,3,4,5,6,7,9,10,11,12],[8]] => {{1,2,3,4,5,6,7,9,10,11,12},{8}}
[[1,2,3,4,5,8],[6,7,9,10,11,12]] => [[1,2,3,4,5,6,7,9,10,11,12],[8]] => [[1,2,3,4,5,6,8,9,10,11,12],[7]] => {{1,2,3,4,5,6,8,9,10,11,12},{7}}
[[1,2,3,4,5,7],[6,8,9,10,11,12]] => [[1,2,3,4,5,6,8,9,10,11,12],[7]] => [[1,2,3,4,5,7,8,9,10,11,12],[6]] => {{1,2,3,4,5,7,8,9,10,11,12},{6}}
[[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[1,2,3,4,5,6,7,8,9,10,11,12]] => [[1,2,3,4,5,6,7,8,9,10,11,12]] => {{1,2,3,4,5,6,7,8,9,10,11,12}}
[[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]] => {{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]] => [[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]] => [[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}}
[[1,2,3,4,5,6,7],[8],[9]] => [[1,2,3,4,5,6,7,8],[9]] => [[1,2,3,4,5,6,7,9],[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]] => [[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]] => [[1,2,3,4,5,6,7,8],[9]] => [[1,2,3,4,5,6,7,9],[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]] => [[1,2,3,4,5,6,9],[7],[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]] => [[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]] => [[1,2,3,4,5,6,7,8],[9]] => [[1,2,3,4,5,6,7,9],[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]] => [[1,2,3,4,5,6,9],[7,8]] => {{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]] => [[1,2,3,4,5,6,9],[7],[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]] => [[1,2,3,4,5,9],[6],[7],[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]] => [[1,2,3,4,5,6,7,9],[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]] => [[1,2,3,4,5,6,9],[7,8]] => {{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]] => [[1,2,3,4,5,6,9],[7],[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]] => [[1,2,3,4,5,9],[6,7],[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]] => [[1,2,3,4,5,9],[6],[7],[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]] => [[1,2,3,4,9],[5],[6],[7],[8]] => {{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]] => [[1,2,3,4,5,9],[6,7,8]] => {{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]] => [[1,2,3,4,5,9],[6,7],[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]] => [[1,2,3,4,5,9],[6],[7],[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]] => [[1,2,3,4,9],[5,6],[7,8]] => {{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]] => [[1,2,3,4,9],[5,6],[7],[8]] => {{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]] => [[1,2,3,4,9],[5],[6],[7],[8]] => {{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]] => [[1,2,3,9],[4],[5],[6],[7],[8]] => {{1,2,3,9},{4},{5},{6},{7},{8}}
[[1,2],[3,4],[5,6],[7,8],[9]] => [[1,2,3,4],[5,6],[7,8],[9]] => [[1,2,3,9],[4,5],[6,7],[8]] => {{1,2,3,9},{4,5},{6,7},{8}}
[[1,2],[3,4],[5,6],[7],[8],[9]] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[1,2,3,9],[4,5],[6],[7],[8]] => {{1,2,3,9},{4,5},{6},{7},{8}}
[[1,2],[3,4],[5],[6],[7],[8],[9]] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[1,2,3,9],[4],[5],[6],[7],[8]] => {{1,2,3,9},{4},{5},{6},{7},{8}}
[[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[1,2,9],[3],[4],[5],[6],[7],[8]] => {{1,2,9},{3},{4},{5},{6},{7},{8}}
[[1],[2],[3],[4],[5],[6],[7],[8],[9]] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => {{1,9},{2},{3},{4},{5},{6},{7},{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]] => {{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]] => [[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]] => [[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}}
[[1,2,3,4,5,6,7,8],[9],[10]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,2,3,4,5,6,7,8,10],[9]] => {{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]] => [[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]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,2,3,4,5,6,7,8,10],[9]] => {{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]] => [[1,2,3,4,5,6,7,10],[8],[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]] => [[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]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,2,3,4,5,6,7,8,10],[9]] => {{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]] => [[1,2,3,4,5,6,7,10],[8,9]] => {{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]] => [[1,2,3,4,5,6,7,10],[8],[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]] => [[1,2,3,4,5,6,10],[7],[8],[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]] => [[1,2,3,4,5,6,7,8,10],[9]] => {{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]] => [[1,2,3,4,5,6,7,10],[8,9]] => {{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]] => [[1,2,3,4,5,6,7,10],[8],[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]] => [[1,2,3,4,5,6,10],[7,8],[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]] => [[1,2,3,4,5,6,10],[7],[8],[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]] => [[1,2,3,4,5,10],[6],[7],[8],[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]] => [[1,2,3,4,5,6,7,10],[8,9]] => {{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]] => [[1,2,3,4,5,6,7,10],[8],[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]] => [[1,2,3,4,5,6,10],[7,8,9]] => {{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]] => [[1,2,3,4,5,6,10],[7,8],[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]] => [[1,2,3,4,5,6,10],[7],[8],[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]] => [[1,2,3,4,5,10],[6,7],[8,9]] => {{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]] => [[1,2,3,4,5,10],[6,7],[8],[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]] => [[1,2,3,4,5,10],[6],[7],[8],[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]] => [[1,2,3,4,10],[5],[6],[7],[8],[9]] => {{1,2,3,4,10},{5},{6},{7},{8},{9}}
[[1,2,3],[4,5,6],[7,8,9],[10]] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,2,3,4,5,10],[6,7,8],[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]] => [[1,2,3,4,5,10],[6,7],[8,9]] => {{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]] => [[1,2,3,4,5,10],[6,7],[8],[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]] => [[1,2,3,4,5,10],[6],[7],[8],[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]] => [[1,2,3,4,10],[5,6],[7,8],[9]] => {{1,2,3,4,10},{5,6},{7,8},{9}}
[[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[1,2,3,4,10],[5,6],[7],[8],[9]] => {{1,2,3,4,10},{5,6},{7},{8},{9}}
[[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[1,2,3,4,10],[5],[6],[7],[8],[9]] => {{1,2,3,4,10},{5},{6},{7},{8},{9}}
[[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[1,2,3,10],[4],[5],[6],[7],[8],[9]] => {{1,2,3,10},{4},{5},{6},{7},{8},{9}}
[[1,2],[3,4],[5,6],[7,8],[9,10]] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[1,2,3,10],[4,5],[6,7],[8,9]] => {{1,2,3,10},{4,5},{6,7},{8,9}}
[[1,2],[3,4],[5,6],[7,8],[9],[10]] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[1,2,3,10],[4,5],[6,7],[8],[9]] => {{1,2,3,10},{4,5},{6,7},{8},{9}}
[[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[1,2,3,10],[4,5],[6],[7],[8],[9]] => {{1,2,3,10},{4,5},{6},{7},{8},{9}}
[[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[1,2,3,10],[4],[5],[6],[7],[8],[9]] => {{1,2,3,10},{4},{5},{6},{7},{8},{9}}
[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => {{1,2,10},{3},{4},{5},{6},{7},{8},{9}}
[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => {{1,10},{2},{3},{4},{5},{6},{7},{8},{9}}
[[1,2,3,4,5,6,7,8,9,10,11,12]] => [[1,2,3,4,5,6,7,8,9,10,11,12]] => [[1,2,3,4,5,6,7,8,9,10,11,12]] => {{1,2,3,4,5,6,7,8,9,10,11,12}}
[[1,3,4,5,6,7,8,9],[2]] => [[1,2,4,5,6,7,8,9],[3]] => [[1,3,4,5,6,7,8,9],[2]] => {{1,3,4,5,6,7,8,9},{2}}
[[1,2,5,6,7,8,9],[3,4]] => [[1,2,3,4,7,8,9],[5,6]] => [[1,2,3,6,7,8,9],[4,5]] => {{1,2,3,6,7,8,9},{4,5}}
[[1,4,5,6,7,8,9],[2],[3]] => [[1,2,5,6,7,8,9],[3],[4]] => [[1,4,5,6,7,8,9],[2],[3]] => {{1,4,5,6,7,8,9},{2},{3}}
[[1,2,3,7,8,9],[4,5,6]] => [[1,2,3,4,5,6],[7,8,9]] => [[1,2,3,4,5,9],[6,7,8]] => {{1,2,3,4,5,9},{6,7,8}}
[[1,5,6,7,8,9],[2],[3],[4]] => [[1,2,6,7,8,9],[3],[4],[5]] => [[1,5,6,7,8,9],[2],[3],[4]] => {{1,5,6,7,8,9},{2},{3},{4}}
[[1,2,3,4,9],[5,6,7,8]] => [[1,2,3,4,5,6,7,8],[9]] => [[1,2,3,4,5,6,7,9],[8]] => {{1,2,3,4,5,6,7,9},{8}}
[[1,2,7,8,9],[3,4],[5,6]] => [[1,2,3,4,9],[5,6],[7,8]] => [[1,2,3,8,9],[4,5],[6,7]] => {{1,2,3,8,9},{4,5},{6,7}}
[[1,6,7,8,9],[2],[3],[4],[5]] => [[1,2,7,8,9],[3],[4],[5],[6]] => [[1,6,7,8,9],[2],[3],[4],[5]] => {{1,6,7,8,9},{2},{3},{4},{5}}
[[1,3,4,5],[2,7,8,9],[6]] => [[1,2,4,5,6,7,8,9],[3]] => [[1,3,4,5,6,7,8,9],[2]] => {{1,3,4,5,6,7,8,9},{2}}
[[1,7,8,9],[2],[3],[4],[5],[6]] => [[1,2,8,9],[3],[4],[5],[6],[7]] => [[1,7,8,9],[2],[3],[4],[5],[6]] => {{1,7,8,9},{2},{3},{4},{5},{6}}
[[1,5,6],[2,8,9],[3],[4],[7]] => [[1,2,6,7,8,9],[3],[4],[5]] => [[1,5,6,7,8,9],[2],[3],[4]] => {{1,5,6,7,8,9},{2},{3},{4}}
[[1,2,9],[3,4],[5,6],[7,8]] => [[1,2,3,4],[5,6],[7,8],[9]] => [[1,2,3,9],[4,5],[6,7],[8]] => {{1,2,3,9},{4,5},{6,7},{8}}
[[1,8,9],[2],[3],[4],[5],[6],[7]] => [[1,2,9],[3],[4],[5],[6],[7],[8]] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => {{1,8,9},{2},{3},{4},{5},{6},{7}}
[[1,7],[2,9],[3],[4],[5],[6],[8]] => [[1,2,8,9],[3],[4],[5],[6],[7]] => [[1,7,8,9],[2],[3],[4],[5],[6]] => {{1,7,8,9},{2},{3},{4},{5},{6}}
[[1,9],[2],[3],[4],[5],[6],[7],[8]] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => {{1,9},{2},{3},{4},{5},{6},{7},{8}}
[[1,3,4,5,6,7,8,9,10],[2]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => {{1,3,4,5,6,7,8,9,10},{2}}
[[1,2,5,6,7,8,9,10],[3,4]] => [[1,2,3,4,7,8,9,10],[5,6]] => [[1,2,3,6,7,8,9,10],[4,5]] => {{1,2,3,6,7,8,9,10},{4,5}}
[[1,4,5,6,7,8,9,10],[2],[3]] => [[1,2,5,6,7,8,9,10],[3],[4]] => [[1,4,5,6,7,8,9,10],[2],[3]] => {{1,4,5,6,7,8,9,10},{2},{3}}
[[1,5,6,7,8,9,10],[2],[3],[4]] => [[1,2,6,7,8,9,10],[3],[4],[5]] => [[1,5,6,7,8,9,10],[2],[3],[4]] => {{1,5,6,7,8,9,10},{2},{3},{4}}
[[1,2,3,4,9,10],[5,6,7,8]] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,2,3,4,5,6,7,10],[8,9]] => {{1,2,3,4,5,6,7,10},{8,9}}
[[1,2,7,8,9,10],[3,4],[5,6]] => [[1,2,3,4,9,10],[5,6],[7,8]] => [[1,2,3,8,9,10],[4,5],[6,7]] => {{1,2,3,8,9,10},{4,5},{6,7}}
[[1,6,7,8,9,10],[2],[3],[4],[5]] => [[1,2,7,8,9,10],[3],[4],[5],[6]] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => {{1,6,7,8,9,10},{2},{3},{4},{5}}
[[1,7,8,9,10],[2],[3],[4],[5],[6]] => [[1,2,8,9,10],[3],[4],[5],[6],[7]] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => {{1,7,8,9,10},{2},{3},{4},{5},{6}}
[[1,2,5,6],[3,4,9,10],[7,8]] => [[1,2,3,4,7,8,9,10],[5,6]] => [[1,2,3,6,7,8,9,10],[4,5]] => {{1,2,3,6,7,8,9,10},{4,5}}
[[1,4,5,6],[2,8,9,10],[3],[7]] => [[1,2,5,6,7,8,9,10],[3],[4]] => [[1,4,5,6,7,8,9,10],[2],[3]] => {{1,4,5,6,7,8,9,10},{2},{3}}
[[1,2,3,10],[4,5,6],[7,8,9]] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,2,3,4,5,10],[6,7,8],[9]] => {{1,2,3,4,5,10},{6,7,8},{9}}
[[1,2,9,10],[3,4],[5,6],[7,8]] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[1,2,3,10],[4,5],[6,7],[8,9]] => {{1,2,3,10},{4,5},{6,7},{8,9}}
[[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [[1,2,9,10],[3],[4],[5],[6],[7],[8]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => {{1,8,9,10},{2},{3},{4},{5},{6},{7}}
[[1,2,7],[3,4,10],[5,6],[8,9]] => [[1,2,3,4,9,10],[5,6],[7,8]] => [[1,2,3,8,9,10],[4,5],[6,7]] => {{1,2,3,8,9,10},{4,5},{6,7}}
[[1,6,7],[2,9,10],[3],[4],[5],[8]] => [[1,2,7,8,9,10],[3],[4],[5],[6]] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => {{1,6,7,8,9,10},{2},{3},{4},{5}}
[[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => {{1,9,10},{2},{3},{4},{5},{6},{7},{8}}
[[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => [[1,2,9,10],[3],[4],[5],[6],[7],[8]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => {{1,8,9,10},{2},{3},{4},{5},{6},{7}}
[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => {{1,10},{2},{3},{4},{5},{6},{7},{8},{9}}
[[1,8],[2,9],[3],[4],[5],[6],[7]] => [[1,2,9],[3],[4],[5],[6],[7],[8]] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => {{1,8,9},{2},{3},{4},{5},{6},{7}}
[[1,7],[2,8],[3,9],[4],[5],[6]] => [[1,2,8],[3,9],[4],[5],[6],[7]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => {{1,7,9},{2,8},{3},{4},{5},{6}}
[[1,7,9],[2,8],[3],[4],[5],[6]] => [[1,2,8],[3,9],[4],[5],[6],[7]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => {{1,7,9},{2,8},{3},{4},{5},{6}}
[[1,6],[2,7],[3,8],[4,9],[5]] => [[1,2,7],[3,8],[4,9],[5],[6]] => [[1,6,9],[2,7],[3,8],[4],[5]] => {{1,6,9},{2,7},{3,8},{4},{5}}
[[1,6,9],[2,7],[3,8],[4],[5]] => [[1,2,7],[3,8],[4,9],[5],[6]] => [[1,6,9],[2,7],[3,8],[4],[5]] => {{1,6,9},{2,7},{3,8},{4},{5}}
[[1,6,8],[2,7,9],[3],[4],[5]] => [[1,2,7,9],[3,8],[4],[5],[6]] => [[1,6,8,9],[2,7],[3],[4],[5]] => {{1,6,8,9},{2,7},{3},{4},{5}}
[[1,6,8,9],[2,7],[3],[4],[5]] => [[1,2,7,9],[3,8],[4],[5],[6]] => [[1,6,8,9],[2,7],[3],[4],[5]] => {{1,6,8,9},{2,7},{3},{4},{5}}
[[1,5,9],[2,6],[3,7],[4,8]] => [[1,2,6],[3,7],[4,8],[5,9]] => [[1,5,9],[2,6],[3,7],[4,8]] => {{1,5,9},{2,6},{3,7},{4,8}}
[[1,5,8],[2,6,9],[3,7],[4]] => [[1,2,6,9],[3,7],[4,8],[5]] => [[1,5,8,9],[2,6],[3,7],[4]] => {{1,5,8,9},{2,6},{3,7},{4}}
[[1,5,8,9],[2,6],[3,7],[4]] => [[1,2,6,9],[3,7],[4,8],[5]] => [[1,5,8,9],[2,6],[3,7],[4]] => {{1,5,8,9},{2,6},{3,7},{4}}
[[1,5,7,9],[2,6,8],[3],[4]] => [[1,2,6,8],[3,7,9],[4],[5]] => [[1,5,7,9],[2,6,8],[3],[4]] => {{1,5,7,9},{2,6,8},{3},{4}}
[[1,5,7,8,9],[2,6],[3],[4]] => [[1,2,6,8,9],[3,7],[4],[5]] => [[1,5,7,8,9],[2,6],[3],[4]] => {{1,5,7,8,9},{2,6},{3},{4}}
[[1,4,7],[2,5,8],[3,6,9]] => [[1,2,5,8],[3,6,9],[4,7]] => [[1,4,7,9],[2,5,8],[3,6]] => {{1,4,7,9},{2,5,8},{3,6}}
[[1,4,7,9],[2,5,8],[3,6]] => [[1,2,5,8],[3,6,9],[4,7]] => [[1,4,7,9],[2,5,8],[3,6]] => {{1,4,7,9},{2,5,8},{3,6}}
[[1,4,7,8,9],[2,5],[3,6]] => [[1,2,5,8,9],[3,6],[4,7]] => [[1,4,7,8,9],[2,5],[3,6]] => {{1,4,7,8,9},{2,5},{3,6}}
[[1,4,6,8],[2,5,7,9],[3]] => [[1,2,5,7,9],[3,6,8],[4]] => [[1,4,6,8,9],[2,5,7],[3]] => {{1,4,6,8,9},{2,5,7},{3}}
[[1,4,6,8,9],[2,5,7],[3]] => [[1,2,5,7,9],[3,6,8],[4]] => [[1,4,6,8,9],[2,5,7],[3]] => {{1,4,6,8,9},{2,5,7},{3}}
[[1,4,6,7,8,9],[2,5],[3]] => [[1,2,5,7,8,9],[3,6],[4]] => [[1,4,6,7,8,9],[2,5],[3]] => {{1,4,6,7,8,9},{2,5},{3}}
[[1,3,5,7,9],[2,4,6,8]] => [[1,2,4,6,8],[3,5,7,9]] => [[1,3,5,7,9],[2,4,6,8]] => {{1,3,5,7,9},{2,4,6,8}}
[[1,3,5,7,8,9],[2,4,6]] => [[1,2,4,6,8,9],[3,5,7]] => [[1,3,5,7,8,9],[2,4,6]] => {{1,3,5,7,8,9},{2,4,6}}
[[1,3,5,6,7,8,9],[2,4]] => [[1,2,4,6,7,8,9],[3,5]] => [[1,3,5,6,7,8,9],[2,4]] => {{1,3,5,6,7,8,9},{2,4}}
[[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => {{1,9,10},{2},{3},{4},{5},{6},{7},{8}}
[[1,8],[2,9],[3,10],[4],[5],[6],[7]] => [[1,2,9],[3,10],[4],[5],[6],[7],[8]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => {{1,8,10},{2,9},{3},{4},{5},{6},{7}}
[[1,8,10],[2,9],[3],[4],[5],[6],[7]] => [[1,2,9],[3,10],[4],[5],[6],[7],[8]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => {{1,8,10},{2,9},{3},{4},{5},{6},{7}}
[[1,7],[2,8],[3,9],[4,10],[5],[6]] => [[1,2,8],[3,9],[4,10],[5],[6],[7]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => {{1,7,10},{2,8},{3,9},{4},{5},{6}}
[[1,7,10],[2,8],[3,9],[4],[5],[6]] => [[1,2,8],[3,9],[4,10],[5],[6],[7]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => {{1,7,10},{2,8},{3,9},{4},{5},{6}}
[[1,7,9],[2,8,10],[3],[4],[5],[6]] => [[1,2,8,10],[3,9],[4],[5],[6],[7]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => {{1,7,9,10},{2,8},{3},{4},{5},{6}}
[[1,7,9,10],[2,8],[3],[4],[5],[6]] => [[1,2,8,10],[3,9],[4],[5],[6],[7]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => {{1,7,9,10},{2,8},{3},{4},{5},{6}}
[[1,6],[2,7],[3,8],[4,9],[5,10]] => [[1,2,7],[3,8],[4,9],[5,10],[6]] => [[1,6,10],[2,7],[3,8],[4,9],[5]] => {{1,6,10},{2,7},{3,8},{4,9},{5}}
[[1,6,10],[2,7],[3,8],[4,9],[5]] => [[1,2,7],[3,8],[4,9],[5,10],[6]] => [[1,6,10],[2,7],[3,8],[4,9],[5]] => {{1,6,10},{2,7},{3,8},{4,9},{5}}
[[1,6,9],[2,7,10],[3,8],[4],[5]] => [[1,2,7,10],[3,8],[4,9],[5],[6]] => [[1,6,9,10],[2,7],[3,8],[4],[5]] => {{1,6,9,10},{2,7},{3,8},{4},{5}}
[[1,6,9,10],[2,7],[3,8],[4],[5]] => [[1,2,7,10],[3,8],[4,9],[5],[6]] => [[1,6,9,10],[2,7],[3,8],[4],[5]] => {{1,6,9,10},{2,7},{3,8},{4},{5}}
[[1,6,8,10],[2,7,9],[3],[4],[5]] => [[1,2,7,9],[3,8,10],[4],[5],[6]] => [[1,6,8,10],[2,7,9],[3],[4],[5]] => {{1,6,8,10},{2,7,9},{3},{4},{5}}
[[1,6,8,9,10],[2,7],[3],[4],[5]] => [[1,2,7,9,10],[3,8],[4],[5],[6]] => [[1,6,8,9,10],[2,7],[3],[4],[5]] => {{1,6,8,9,10},{2,7},{3},{4},{5}}
[[1,5,9],[2,6,10],[3,7],[4,8]] => [[1,2,6,10],[3,7],[4,8],[5,9]] => [[1,5,9,10],[2,6],[3,7],[4,8]] => {{1,5,9,10},{2,6},{3,7},{4,8}}
[[1,5,9,10],[2,6],[3,7],[4,8]] => [[1,2,6,10],[3,7],[4,8],[5,9]] => [[1,5,9,10],[2,6],[3,7],[4,8]] => {{1,5,9,10},{2,6},{3,7},{4,8}}
[[1,5,8],[2,6,9],[3,7,10],[4]] => [[1,2,6,9],[3,7,10],[4,8],[5]] => [[1,5,8,10],[2,6,9],[3,7],[4]] => {{1,5,8,10},{2,6,9},{3,7},{4}}
[[1,5,8,10],[2,6,9],[3,7],[4]] => [[1,2,6,9],[3,7,10],[4,8],[5]] => [[1,5,8,10],[2,6,9],[3,7],[4]] => {{1,5,8,10},{2,6,9},{3,7},{4}}
[[1,5,8,9,10],[2,6],[3,7],[4]] => [[1,2,6,9,10],[3,7],[4,8],[5]] => [[1,5,8,9,10],[2,6],[3,7],[4]] => {{1,5,8,9,10},{2,6},{3,7},{4}}
[[1,5,7,9],[2,6,8,10],[3],[4]] => [[1,2,6,8,10],[3,7,9],[4],[5]] => [[1,5,7,9,10],[2,6,8],[3],[4]] => {{1,5,7,9,10},{2,6,8},{3},{4}}
[[1,5,7,9,10],[2,6,8],[3],[4]] => [[1,2,6,8,10],[3,7,9],[4],[5]] => [[1,5,7,9,10],[2,6,8],[3],[4]] => {{1,5,7,9,10},{2,6,8},{3},{4}}
[[1,5,7,8,9,10],[2,6],[3],[4]] => [[1,2,6,8,9,10],[3,7],[4],[5]] => [[1,5,7,8,9,10],[2,6],[3],[4]] => {{1,5,7,8,9,10},{2,6},{3},{4}}
[[1,4,7,10],[2,5,8],[3,6,9]] => [[1,2,5,8],[3,6,9],[4,7,10]] => [[1,4,7,10],[2,5,8],[3,6,9]] => {{1,4,7,10},{2,5,8},{3,6,9}}
[[1,4,7,9],[2,5,8,10],[3,6]] => [[1,2,5,8,10],[3,6,9],[4,7]] => [[1,4,7,9,10],[2,5,8],[3,6]] => {{1,4,7,9,10},{2,5,8},{3,6}}
[[1,4,7,9,10],[2,5,8],[3,6]] => [[1,2,5,8,10],[3,6,9],[4,7]] => [[1,4,7,9,10],[2,5,8],[3,6]] => {{1,4,7,9,10},{2,5,8},{3,6}}
[[1,4,7,8,9,10],[2,5],[3,6]] => [[1,2,5,8,9,10],[3,6],[4,7]] => [[1,4,7,8,9,10],[2,5],[3,6]] => {{1,4,7,8,9,10},{2,5},{3,6}}
[[1,4,6,8,10],[2,5,7,9],[3]] => [[1,2,5,7,9],[3,6,8,10],[4]] => [[1,4,6,8,10],[2,5,7,9],[3]] => {{1,4,6,8,10},{2,5,7,9},{3}}
[[1,4,6,8,9,10],[2,5,7],[3]] => [[1,2,5,7,9,10],[3,6,8],[4]] => [[1,4,6,8,9,10],[2,5,7],[3]] => {{1,4,6,8,9,10},{2,5,7},{3}}
[[1,4,6,7,8,9,10],[2,5],[3]] => [[1,2,5,7,8,9,10],[3,6],[4]] => [[1,4,6,7,8,9,10],[2,5],[3]] => {{1,4,6,7,8,9,10},{2,5},{3}}
[[1,3,5,7,9,10],[2,4,6,8]] => [[1,2,4,6,8,10],[3,5,7,9]] => [[1,3,5,7,9,10],[2,4,6,8]] => {{1,3,5,7,9,10},{2,4,6,8}}
[[1,3,5,7,8,9,10],[2,4,6]] => [[1,2,4,6,8,9,10],[3,5,7]] => [[1,3,5,7,8,9,10],[2,4,6]] => {{1,3,5,7,8,9,10},{2,4,6}}
[[1,3,5,6,7,8,9,10],[2,4]] => [[1,2,4,6,7,8,9,10],[3,5]] => [[1,3,5,6,7,8,9,10],[2,4]] => {{1,3,5,6,7,8,9,10},{2,4}}
[[1,5],[2,6],[3,7],[4,8],[9]] => [[1,2,6],[3,7],[4,8],[5,9]] => [[1,5,9],[2,6],[3,7],[4,8]] => {{1,5,9},{2,6},{3,7},{4,8}}
[[1,3,5,7],[2,4,6,8],[9]] => [[1,2,4,6,8],[3,5,7,9]] => [[1,3,5,7,9],[2,4,6,8]] => {{1,3,5,7,9},{2,4,6,8}}
[[1,4,7],[2,5,8],[3,6,9],[10]] => [[1,2,5,8],[3,6,9],[4,7,10]] => [[1,4,7,10],[2,5,8],[3,6,9]] => {{1,4,7,10},{2,5,8},{3,6,9}}
[[1,2,4,6,8],[3,5,7,9],[10]] => [[1,2,3,5,7,9],[4,6,8,10]] => [[1,2,4,6,8,10],[3,5,7,9]] => {{1,2,4,6,8,10},{3,5,7,9}}
[[1,2,3,4,6,8],[5,7,9],[10]] => [[1,2,3,4,5,7,9],[6,8,10]] => [[1,2,3,4,6,8,10],[5,7,9]] => {{1,2,3,4,6,8,10},{5,7,9}}
[[1,2,3,4,5,6,8],[7,9],[10]] => [[1,2,3,4,5,6,7,9],[8,10]] => [[1,2,3,4,5,6,8,10],[7,9]] => {{1,2,3,4,5,6,8,10},{7,9}}
[[1,2,3,5,7,9],[4,6,8,10]] => [[1,2,3,4,6,8,10],[5,7,9]] => [[1,2,3,5,7,9,10],[4,6,8]] => {{1,2,3,5,7,9,10},{4,6,8}}
[[1,2,3,4,5,7,9],[6,8,10]] => [[1,2,3,4,5,6,8,10],[7,9]] => [[1,2,3,4,5,7,9,10],[6,8]] => {{1,2,3,4,5,7,9,10},{6,8}}
[[1,2,3,4,5,6,7,9],[8,10]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,3,4,5,6,7,9,10],[8]] => {{1,2,3,4,5,6,7,9,10},{8}}
[[1,5],[2,6],[3,7],[4,8],[9,10]] => [[1,2,6,10],[3,7],[4,8],[5,9]] => [[1,5,9,10],[2,6],[3,7],[4,8]] => {{1,5,9,10},{2,6},{3,7},{4,8}}
[[1,5],[2,6],[3,7],[4,9],[8,10]] => [[1,2,6,9],[3,7],[4,8],[5,10]] => [[1,5,8,10],[2,6],[3,7],[4,9]] => {{1,5,8,10},{2,6},{3,7},{4,9}}
[[1,2,3,4,5,6,7,9],[8]] => [[1,2,3,4,5,6,7,8],[9]] => [[1,2,3,4,5,6,7,9],[8]] => {{1,2,3,4,5,6,7,9},{8}}
[[1,2,3,4,5,6,9],[7,8]] => [[1,2,3,4,5,6,7,8],[9]] => [[1,2,3,4,5,6,7,9],[8]] => {{1,2,3,4,5,6,7,9},{8}}
[[1,2,3,4,5,6,9],[7],[8]] => [[1,2,3,4,5,6,7],[8],[9]] => [[1,2,3,4,5,6,9],[7],[8]] => {{1,2,3,4,5,6,9},{7},{8}}
[[1,2,3,4,5,9],[6,7,8]] => [[1,2,3,4,5,6,7,8],[9]] => [[1,2,3,4,5,6,7,9],[8]] => {{1,2,3,4,5,6,7,9},{8}}
[[1,2,3,4,5,9],[6,7],[8]] => [[1,2,3,4,5,6,7],[8],[9]] => [[1,2,3,4,5,6,9],[7],[8]] => {{1,2,3,4,5,6,9},{7},{8}}
[[1,2,3,4,5,9],[6],[7],[8]] => [[1,2,3,4,5,6],[7],[8],[9]] => [[1,2,3,4,5,9],[6],[7],[8]] => {{1,2,3,4,5,9},{6},{7},{8}}
[[1,2,3,4,9],[5,6,7],[8]] => [[1,2,3,4,5,6,7],[8],[9]] => [[1,2,3,4,5,6,9],[7],[8]] => {{1,2,3,4,5,6,9},{7},{8}}
[[1,2,3,4,9],[5,6],[7,8]] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,2,3,4,5,9],[6,7],[8]] => {{1,2,3,4,5,9},{6,7},{8}}
[[1,2,3,4,9],[5,6],[7],[8]] => [[1,2,3,4,5,6],[7],[8],[9]] => [[1,2,3,4,5,9],[6],[7],[8]] => {{1,2,3,4,5,9},{6},{7},{8}}
[[1,2,3,4,9],[5],[6],[7],[8]] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[1,2,3,4,9],[5],[6],[7],[8]] => {{1,2,3,4,9},{5},{6},{7},{8}}
[[1,2,3,9],[4,5,6],[7,8]] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,2,3,4,5,9],[6,7],[8]] => {{1,2,3,4,5,9},{6,7},{8}}
[[1,2,3,9],[4,5,6],[7],[8]] => [[1,2,3,4,5,6],[7],[8],[9]] => [[1,2,3,4,5,9],[6],[7],[8]] => {{1,2,3,4,5,9},{6},{7},{8}}
[[1,2,3,9],[4,5],[6,7],[8]] => [[1,2,3,4,5],[6,7],[8],[9]] => [[1,2,3,4,9],[5,6],[7],[8]] => {{1,2,3,4,9},{5,6},{7},{8}}
[[1,2,3,9],[4,5],[6],[7],[8]] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[1,2,3,4,9],[5],[6],[7],[8]] => {{1,2,3,4,9},{5},{6},{7},{8}}
[[1,2,3,9],[4],[5],[6],[7],[8]] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[1,2,3,9],[4],[5],[6],[7],[8]] => {{1,2,3,9},{4},{5},{6},{7},{8}}
[[1,2,9],[3,4],[5,6],[7],[8]] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[1,2,3,9],[4,5],[6],[7],[8]] => {{1,2,3,9},{4,5},{6},{7},{8}}
[[1,2,9],[3,4],[5],[6],[7],[8]] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[1,2,3,9],[4],[5],[6],[7],[8]] => {{1,2,3,9},{4},{5},{6},{7},{8}}
[[1,2,9],[3],[4],[5],[6],[7],[8]] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[1,2,9],[3],[4],[5],[6],[7],[8]] => {{1,2,9},{3},{4},{5},{6},{7},{8}}
[[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,2,3,4,5,6,7,8,10],[9]] => {{1,2,3,4,5,6,7,8,10},{9}}
[[1,2,3,4,5,6,7,10],[8,9]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,2,3,4,5,6,7,8,10],[9]] => {{1,2,3,4,5,6,7,8,10},{9}}
[[1,2,3,4,5,6,7,10],[8],[9]] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,2,3,4,5,6,7,10],[8],[9]] => {{1,2,3,4,5,6,7,10},{8},{9}}
[[1,2,3,4,5,6,10],[7,8,9]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,2,3,4,5,6,7,8,10],[9]] => {{1,2,3,4,5,6,7,8,10},{9}}
[[1,2,3,4,5,6,10],[7,8],[9]] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,2,3,4,5,6,7,10],[8],[9]] => {{1,2,3,4,5,6,7,10},{8},{9}}
[[1,2,3,4,5,6,10],[7],[8],[9]] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[1,2,3,4,5,6,10],[7],[8],[9]] => {{1,2,3,4,5,6,10},{7},{8},{9}}
[[1,2,3,4,5,10],[6,7,8,9]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[1,2,3,4,5,6,7,8,10],[9]] => {{1,2,3,4,5,6,7,8,10},{9}}
[[1,2,3,4,5,10],[6,7,8],[9]] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,2,3,4,5,6,7,10],[8],[9]] => {{1,2,3,4,5,6,7,10},{8},{9}}
[[1,2,3,4,5,10],[6,7],[8,9]] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,2,3,4,5,6,10],[7,8],[9]] => {{1,2,3,4,5,6,10},{7,8},{9}}
[[1,2,3,4,5,10],[6,7],[8],[9]] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[1,2,3,4,5,6,10],[7],[8],[9]] => {{1,2,3,4,5,6,10},{7},{8},{9}}
[[1,2,3,4,5,10],[6],[7],[8],[9]] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[1,2,3,4,5,10],[6],[7],[8],[9]] => {{1,2,3,4,5,10},{6},{7},{8},{9}}
[[1,2,3,4,10],[5,6,7,8],[9]] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[1,2,3,4,5,6,7,10],[8],[9]] => {{1,2,3,4,5,6,7,10},{8},{9}}
[[1,2,3,4,10],[5,6,7],[8,9]] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,2,3,4,5,6,10],[7,8],[9]] => {{1,2,3,4,5,6,10},{7,8},{9}}
[[1,2,3,4,10],[5,6,7],[8],[9]] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[1,2,3,4,5,6,10],[7],[8],[9]] => {{1,2,3,4,5,6,10},{7},{8},{9}}
[[1,2,3,4,10],[5,6],[7,8],[9]] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,2,3,4,5,10],[6,7],[8],[9]] => {{1,2,3,4,5,10},{6,7},{8},{9}}
[[1,2,3,4,10],[5,6],[7],[8],[9]] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[1,2,3,4,5,10],[6],[7],[8],[9]] => {{1,2,3,4,5,10},{6},{7},{8},{9}}
[[1,2,3,4,10],[5],[6],[7],[8],[9]] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[1,2,3,4,10],[5],[6],[7],[8],[9]] => {{1,2,3,4,10},{5},{6},{7},{8},{9}}
[[1,2,3,10],[4,5,6],[7,8],[9]] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,2,3,4,5,10],[6,7],[8],[9]] => {{1,2,3,4,5,10},{6,7},{8},{9}}
[[1,2,3,10],[4,5,6],[7],[8],[9]] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[1,2,3,4,5,10],[6],[7],[8],[9]] => {{1,2,3,4,5,10},{6},{7},{8},{9}}
[[1,2,3,10],[4,5],[6,7],[8,9]] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[1,2,3,4,10],[5,6],[7,8],[9]] => {{1,2,3,4,10},{5,6},{7,8},{9}}
[[1,2,3,10],[4,5],[6,7],[8],[9]] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[1,2,3,4,10],[5,6],[7],[8],[9]] => {{1,2,3,4,10},{5,6},{7},{8},{9}}
[[1,2,3,10],[4,5],[6],[7],[8],[9]] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[1,2,3,4,10],[5],[6],[7],[8],[9]] => {{1,2,3,4,10},{5},{6},{7},{8},{9}}
[[1,2,3,10],[4],[5],[6],[7],[8],[9]] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[1,2,3,10],[4],[5],[6],[7],[8],[9]] => {{1,2,3,10},{4},{5},{6},{7},{8},{9}}
[[1,2,10],[3,4],[5,6],[7,8],[9]] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[1,2,3,10],[4,5],[6,7],[8],[9]] => {{1,2,3,10},{4,5},{6,7},{8},{9}}
[[1,2,10],[3,4],[5,6],[7],[8],[9]] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[1,2,3,10],[4,5],[6],[7],[8],[9]] => {{1,2,3,10},{4,5},{6},{7},{8},{9}}
[[1,2,10],[3,4],[5],[6],[7],[8],[9]] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[1,2,3,10],[4],[5],[6],[7],[8],[9]] => {{1,2,3,10},{4},{5},{6},{7},{8},{9}}
[[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => {{1,2,10},{3},{4},{5},{6},{7},{8},{9}}
[] => [] => [] => {}
[[1,3,5,7,8],[2,4,6,9]] => [[1,2,4,6,8,9],[3,5,7]] => [[1,3,5,7,8,9],[2,4,6]] => {{1,3,5,7,8,9},{2,4,6}}
[[1,5,8],[2,6],[3,7],[4,9]] => [[1,2,6,9],[3,7],[4,8],[5]] => [[1,5,8,9],[2,6],[3,7],[4]] => {{1,5,8,9},{2,6},{3,7},{4}}
[[1,8],[2],[3],[4],[5],[6],[7],[9]] => [[1,2,9],[3],[4],[5],[6],[7],[8]] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => {{1,8,9},{2},{3},{4},{5},{6},{7}}
[[1,2,4,5,6,7,8,9,10],[3]] => [[1,2,3,5,6,7,8,9,10],[4]] => [[1,2,4,5,6,7,8,9,10],[3]] => {{1,2,4,5,6,7,8,9,10},{3}}
[[1,3,4,6,7,8,9,10],[2,5]] => [[1,2,4,5,7,8,9,10],[3,6]] => [[1,3,4,6,7,8,9,10],[2,5]] => {{1,3,4,6,7,8,9,10},{2,5}}
[[1,3,5,6,8,9,10],[2,4,7]] => [[1,2,4,6,7,9,10],[3,5,8]] => [[1,3,5,6,8,9,10],[2,4,7]] => {{1,3,5,6,8,9,10},{2,4,7}}
[[1,3,5,7,8,10],[2,4,6,9]] => [[1,2,4,6,8,9],[3,5,7,10]] => [[1,3,5,7,8,10],[2,4,6,9]] => {{1,3,5,7,8,10},{2,4,6,9}}
[[1,4,7,9],[2,5,8],[3,6,10]] => [[1,2,5,8,10],[3,6,9],[4,7]] => [[1,4,7,9,10],[2,5,8],[3,6]] => {{1,4,7,9,10},{2,5,8},{3,6}}
[[1,5,8,10],[2,6],[3,7],[4,9]] => [[1,2,6,9],[3,7],[4,8],[5,10]] => [[1,5,8,10],[2,6],[3,7],[4,9]] => {{1,5,8,10},{2,6},{3,7},{4,9}}
[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => {{1,9,10},{2},{3},{4},{5},{6},{7},{8}}
[[1,3,4,5,6,7,8],[2,9]] => [[1,2,4,5,6,7,8,9],[3]] => [[1,3,4,5,6,7,8,9],[2]] => {{1,3,4,5,6,7,8,9},{2}}
[[1,3,4,5,6,7,8],[2],[9]] => [[1,2,4,5,6,7,8,9],[3]] => [[1,3,4,5,6,7,8,9],[2]] => {{1,3,4,5,6,7,8,9},{2}}
[[1,3,4,5,6,7],[2,8,9]] => [[1,2,4,5,6,7,8,9],[3]] => [[1,3,4,5,6,7,8,9],[2]] => {{1,3,4,5,6,7,8,9},{2}}
[[1,3,4,5,6,7],[2,9],[8]] => [[1,2,4,5,6,7,8,9],[3]] => [[1,3,4,5,6,7,8,9],[2]] => {{1,3,4,5,6,7,8,9},{2}}
[[1,3,4,5,6],[2,7,8,9]] => [[1,2,4,5,6,7,8,9],[3]] => [[1,3,4,5,6,7,8,9],[2]] => {{1,3,4,5,6,7,8,9},{2}}
[[1,3,4,5,6],[2,8,9],[7]] => [[1,2,4,5,6,7,8,9],[3]] => [[1,3,4,5,6,7,8,9],[2]] => {{1,3,4,5,6,7,8,9},{2}}
[[1,3,4,5,6,7,8,9],[2,10]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => {{1,3,4,5,6,7,8,9,10},{2}}
[[1,3,4,5,6,7,8,9],[2],[10]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => {{1,3,4,5,6,7,8,9,10},{2}}
[[1,3,4,5,6,7,8],[2,9,10]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => {{1,3,4,5,6,7,8,9,10},{2}}
[[1,3,4,5,6,7,8],[2,10],[9]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => {{1,3,4,5,6,7,8,9,10},{2}}
[[1,3,4,5,6,7],[2,8,9,10]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => {{1,3,4,5,6,7,8,9,10},{2}}
[[1,3,4,5,6,7],[2,9,10],[8]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => {{1,3,4,5,6,7,8,9,10},{2}}
[[1,3,4,5,6],[2,8,9,10],[7]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[1,3,4,5,6,7,8,9,10],[2]] => {{1,3,4,5,6,7,8,9,10},{2}}
[[1,2,4,6,8,10],[3,5,7,9]] => [[1,2,3,5,7,9],[4,6,8,10]] => [[1,2,4,6,8,10],[3,5,7,9]] => {{1,2,4,6,8,10},{3,5,7,9}}
[[1,2,4,6,8,9,10],[3,5,7]] => [[1,2,3,5,7,9,10],[4,6,8]] => [[1,2,4,6,8,9,10],[3,5,7]] => {{1,2,4,6,8,9,10},{3,5,7}}
[[1,2,4,6,7,9,10],[3,5,8]] => [[1,2,3,5,7,8,10],[4,6,9]] => [[1,2,4,6,7,9,10],[3,5,8]] => {{1,2,4,6,7,9,10},{3,5,8}}
[[1,2,4,6,7,8,9,10],[3,5]] => [[1,2,3,5,7,8,9,10],[4,6]] => [[1,2,4,6,7,8,9,10],[3,5]] => {{1,2,4,6,7,8,9,10},{3,5}}
[[1,2,4,5,7,9,10],[3,6,8]] => [[1,2,3,5,6,8,10],[4,7,9]] => [[1,2,4,5,7,9,10],[3,6,8]] => {{1,2,4,5,7,9,10},{3,6,8}}
[[1,2,4,5,7,8,9,10],[3,6]] => [[1,2,3,5,6,8,9,10],[4,7]] => [[1,2,4,5,7,8,9,10],[3,6]] => {{1,2,4,5,7,8,9,10},{3,6}}
[[1,2,4,5,6,7,9,10],[3,8]] => [[1,2,3,5,6,7,8,10],[4,9]] => [[1,2,4,5,6,7,9,10],[3,8]] => {{1,2,4,5,6,7,9,10},{3,8}}
[[1,2,4,5,6,8,9,10],[3,7]] => [[1,2,3,5,6,7,9,10],[4,8]] => [[1,2,4,5,6,8,9,10],[3,7]] => {{1,2,4,5,6,8,9,10},{3,7}}
[[1,2,3,4,6,8,10],[5,7,9]] => [[1,2,3,4,5,7,9],[6,8,10]] => [[1,2,3,4,6,8,10],[5,7,9]] => {{1,2,3,4,6,8,10},{5,7,9}}
[[1,2,3,4,7,8,9,10],[5,6]] => [[1,2,3,4,5,6,9,10],[7,8]] => [[1,2,3,4,5,8,9,10],[6,7]] => {{1,2,3,4,5,8,9,10},{6,7}}
[[1,2,3,5,6,8,10],[4,7,9]] => [[1,2,3,4,6,7,9],[5,8,10]] => [[1,2,3,5,6,8,10],[4,7,9]] => {{1,2,3,5,6,8,10},{4,7,9}}
[[1,2,3,5,7,9,10],[4,6,8]] => [[1,2,3,4,6,8,10],[5,7,9]] => [[1,2,3,5,7,9,10],[4,6,8]] => {{1,2,3,5,7,9,10},{4,6,8}}
[[1,2,3,5,7,8,9,10],[4,6]] => [[1,2,3,4,6,8,9,10],[5,7]] => [[1,2,3,5,7,8,9,10],[4,6]] => {{1,2,3,5,7,8,9,10},{4,6}}
[[1,2,3,5,6,7,9,10],[4,8]] => [[1,2,3,4,6,7,8,10],[5,9]] => [[1,2,3,5,6,7,9,10],[4,8]] => {{1,2,3,5,6,7,9,10},{4,8}}
[[1,2,3,5,6,8,9,10],[4,7]] => [[1,2,3,4,6,7,9,10],[5,8]] => [[1,2,3,5,6,8,9,10],[4,7]] => {{1,2,3,5,6,8,9,10},{4,7}}
[[1,2,3,5,6,7,8,9,10],[4]] => [[1,2,3,4,6,7,8,9,10],[5]] => [[1,2,3,5,6,7,8,9,10],[4]] => {{1,2,3,5,6,7,8,9,10},{4}}
[[1,2,3,4,5,6,8,10],[7,9]] => [[1,2,3,4,5,6,7,9],[8,10]] => [[1,2,3,4,5,6,8,10],[7,9]] => {{1,2,3,4,5,6,8,10},{7,9}}
[[1,2,3,4,5,6,9,10],[7,8]] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,2,3,4,5,6,7,10],[8,9]] => {{1,2,3,4,5,6,7,10},{8,9}}
[[1,2,3,4,5,7,8,10],[6,9]] => [[1,2,3,4,5,6,8,9],[7,10]] => [[1,2,3,4,5,7,8,10],[6,9]] => {{1,2,3,4,5,7,8,10},{6,9}}
[[1,2,3,4,5,7,9,10],[6,8]] => [[1,2,3,4,5,6,8,10],[7,9]] => [[1,2,3,4,5,7,9,10],[6,8]] => {{1,2,3,4,5,7,9,10},{6,8}}
[[1,2,3,4,5,8,9,10],[6,7]] => [[1,2,3,4,5,6,7,10],[8,9]] => [[1,2,3,4,5,6,9,10],[7,8]] => {{1,2,3,4,5,6,9,10},{7,8}}
[[1,2,3,4,6,7,9,10],[5,8]] => [[1,2,3,4,5,7,8,10],[6,9]] => [[1,2,3,4,6,7,9,10],[5,8]] => {{1,2,3,4,6,7,9,10},{5,8}}
[[1,2,3,4,6,8,9,10],[5,7]] => [[1,2,3,4,5,7,9,10],[6,8]] => [[1,2,3,4,6,8,9,10],[5,7]] => {{1,2,3,4,6,8,9,10},{5,7}}
[[1,2,3,4,6,7,8,9,10],[5]] => [[1,2,3,4,5,7,8,9,10],[6]] => [[1,2,3,4,6,7,8,9,10],[5]] => {{1,2,3,4,6,7,8,9,10},{5}}
[[1,2,3,4,5,6,7,9,10],[8]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,3,4,5,6,7,9,10],[8]] => {{1,2,3,4,5,6,7,9,10},{8}}
[[1,2,3,4,5,6,8,9,10],[7]] => [[1,2,3,4,5,6,7,9,10],[8]] => [[1,2,3,4,5,6,8,9,10],[7]] => {{1,2,3,4,5,6,8,9,10},{7}}
[[1,2,3,4,5,7,8,9,10],[6]] => [[1,2,3,4,5,6,8,9,10],[7]] => [[1,2,3,4,5,7,8,9,10],[6]] => {{1,2,3,4,5,7,8,9,10},{6}}
[[1,2,4,6,8,10,11,12],[3,5,7,9]] => [[1,2,3,5,7,9,11,12],[4,6,8,10]] => [[1,2,4,6,8,10,11,12],[3,5,7,9]] => {{1,2,4,6,8,10,11,12},{3,5,7,9}}
[[1,2,4,6,8,9,11,12],[3,5,7,10]] => [[1,2,3,5,7,9,10,12],[4,6,8,11]] => [[1,2,4,6,8,9,11,12],[3,5,7,10]] => {{1,2,4,6,8,9,11,12},{3,5,7,10}}
[[1,2,4,6,8,9,10,11,12],[3,5,7]] => [[1,2,3,5,7,9,10,11,12],[4,6,8]] => [[1,2,4,6,8,9,10,11,12],[3,5,7]] => {{1,2,4,6,8,9,10,11,12},{3,5,7}}
[[1,2,4,6,7,9,11,12],[3,5,8,10]] => [[1,2,3,5,7,8,10,12],[4,6,9,11]] => [[1,2,4,6,7,9,11,12],[3,5,8,10]] => {{1,2,4,6,7,9,11,12},{3,5,8,10}}
[[1,2,4,6,7,9,10,11,12],[3,5,8]] => [[1,2,3,5,7,8,10,11,12],[4,6,9]] => [[1,2,4,6,7,9,10,11,12],[3,5,8]] => {{1,2,4,6,7,9,10,11,12},{3,5,8}}
[[1,2,4,6,7,8,9,11,12],[3,5,10]] => [[1,2,3,5,7,8,9,10,12],[4,6,11]] => [[1,2,4,6,7,8,9,11,12],[3,5,10]] => {{1,2,4,6,7,8,9,11,12},{3,5,10}}
[[1,2,4,6,7,8,10,11,12],[3,5,9]] => [[1,2,3,5,7,8,9,11,12],[4,6,10]] => [[1,2,4,6,7,8,10,11,12],[3,5,9]] => {{1,2,4,6,7,8,10,11,12},{3,5,9}}
[[1,2,4,6,7,8,9,10,11,12],[3,5]] => [[1,2,3,5,7,8,9,10,11,12],[4,6]] => [[1,2,4,6,7,8,9,10,11,12],[3,5]] => {{1,2,4,6,7,8,9,10,11,12},{3,5}}
[[1,2,4,5,6,9,10,11,12],[3,7,8]] => [[1,2,3,5,6,7,8,11,12],[4,9,10]] => [[1,2,4,5,6,7,10,11,12],[3,8,9]] => {{1,2,4,5,6,7,10,11,12},{3,8,9}}
[[1,2,4,5,7,9,11,12],[3,6,8,10]] => [[1,2,3,5,6,8,10,12],[4,7,9,11]] => [[1,2,4,5,7,9,11,12],[3,6,8,10]] => {{1,2,4,5,7,9,11,12},{3,6,8,10}}
[[1,2,4,5,7,9,10,11,12],[3,6,8]] => [[1,2,3,5,6,8,10,11,12],[4,7,9]] => [[1,2,4,5,7,9,10,11,12],[3,6,8]] => {{1,2,4,5,7,9,10,11,12},{3,6,8}}
[[1,2,4,5,7,8,9,11,12],[3,6,10]] => [[1,2,3,5,6,8,9,10,12],[4,7,11]] => [[1,2,4,5,7,8,9,11,12],[3,6,10]] => {{1,2,4,5,7,8,9,11,12},{3,6,10}}
[[1,2,4,5,7,8,10,11,12],[3,6,9]] => [[1,2,3,5,6,8,9,11,12],[4,7,10]] => [[1,2,4,5,7,8,10,11,12],[3,6,9]] => {{1,2,4,5,7,8,10,11,12},{3,6,9}}
[[1,2,4,5,7,8,9,10,11,12],[3,6]] => [[1,2,3,5,6,8,9,10,11,12],[4,7]] => [[1,2,4,5,7,8,9,10,11,12],[3,6]] => {{1,2,4,5,7,8,9,10,11,12},{3,6}}
[[1,2,4,5,6,7,9,11,12],[3,8,10]] => [[1,2,3,5,6,7,8,10,12],[4,9,11]] => [[1,2,4,5,6,7,9,11,12],[3,8,10]] => {{1,2,4,5,6,7,9,11,12},{3,8,10}}
[[1,2,4,5,6,8,9,11,12],[3,7,10]] => [[1,2,3,5,6,7,9,10,12],[4,8,11]] => [[1,2,4,5,6,8,9,11,12],[3,7,10]] => {{1,2,4,5,6,8,9,11,12},{3,7,10}}
[[1,2,4,5,6,8,10,11,12],[3,7,9]] => [[1,2,3,5,6,7,9,11,12],[4,8,10]] => [[1,2,4,5,6,8,10,11,12],[3,7,9]] => {{1,2,4,5,6,8,10,11,12},{3,7,9}}
[[1,2,4,5,6,8,9,10,11,12],[3,7]] => [[1,2,3,5,6,7,9,10,11,12],[4,8]] => [[1,2,4,5,6,8,9,10,11,12],[3,7]] => {{1,2,4,5,6,8,9,10,11,12},{3,7}}
[[1,2,4,5,6,7,8,9,11,12],[3,10]] => [[1,2,3,5,6,7,8,9,10,12],[4,11]] => [[1,2,4,5,6,7,8,9,11,12],[3,10]] => {{1,2,4,5,6,7,8,9,11,12},{3,10}}
[[1,2,4,5,6,7,8,10,11,12],[3,9]] => [[1,2,3,5,6,7,8,9,11,12],[4,10]] => [[1,2,4,5,6,7,8,10,11,12],[3,9]] => {{1,2,4,5,6,7,8,10,11,12},{3,9}}
[[1,2,4,5,6,7,9,10,11,12],[3,8]] => [[1,2,3,5,6,7,8,10,11,12],[4,9]] => [[1,2,4,5,6,7,9,10,11,12],[3,8]] => {{1,2,4,5,6,7,9,10,11,12},{3,8}}
[[1,2,4,5,6,7,8,9,10,11,12],[3]] => [[1,2,3,5,6,7,8,9,10,11,12],[4]] => [[1,2,4,5,6,7,8,9,10,11,12],[3]] => {{1,2,4,5,6,7,8,9,10,11,12},{3}}
[[1,2,3,4,6,9,10,11,12],[5,7,8]] => [[1,2,3,4,5,7,8,11,12],[6,9,10]] => [[1,2,3,4,6,7,10,11,12],[5,8,9]] => {{1,2,3,4,6,7,10,11,12},{5,8,9}}
[[1,2,3,4,7,9,10,11,12],[5,6,8]] => [[1,2,3,4,5,6,8,11,12],[7,9,10]] => [[1,2,3,4,5,7,10,11,12],[6,8,9]] => {{1,2,3,4,5,7,10,11,12},{6,8,9}}
[[1,2,3,4,7,8,9,11,12],[5,6,10]] => [[1,2,3,4,5,6,9,10,12],[7,8,11]] => [[1,2,3,4,5,8,9,11,12],[6,7,10]] => {{1,2,3,4,5,8,9,11,12},{6,7,10}}
[[1,2,3,4,7,8,10,11,12],[5,6,9]] => [[1,2,3,4,5,6,9,11,12],[7,8,10]] => [[1,2,3,4,5,8,10,11,12],[6,7,9]] => {{1,2,3,4,5,8,10,11,12},{6,7,9}}
[[1,2,3,4,7,8,9,10,11,12],[5,6]] => [[1,2,3,4,5,6,9,10,11,12],[7,8]] => [[1,2,3,4,5,8,9,10,11,12],[6,7]] => {{1,2,3,4,5,8,9,10,11,12},{6,7}}
[[1,2,3,5,6,9,10,11,12],[4,7,8]] => [[1,2,3,4,6,7,8,11,12],[5,9,10]] => [[1,2,3,5,6,7,10,11,12],[4,8,9]] => {{1,2,3,5,6,7,10,11,12},{4,8,9}}
[[1,2,3,5,7,9,11,12],[4,6,8,10]] => [[1,2,3,4,6,8,10,12],[5,7,9,11]] => [[1,2,3,5,7,9,11,12],[4,6,8,10]] => {{1,2,3,5,7,9,11,12},{4,6,8,10}}
[[1,2,3,5,7,9,10,11,12],[4,6,8]] => [[1,2,3,4,6,8,10,11,12],[5,7,9]] => [[1,2,3,5,7,9,10,11,12],[4,6,8]] => {{1,2,3,5,7,9,10,11,12},{4,6,8}}
[[1,2,3,5,7,8,9,11,12],[4,6,10]] => [[1,2,3,4,6,8,9,10,12],[5,7,11]] => [[1,2,3,5,7,8,9,11,12],[4,6,10]] => {{1,2,3,5,7,8,9,11,12},{4,6,10}}
[[1,2,3,5,7,8,10,11,12],[4,6,9]] => [[1,2,3,4,6,8,9,11,12],[5,7,10]] => [[1,2,3,5,7,8,10,11,12],[4,6,9]] => {{1,2,3,5,7,8,10,11,12},{4,6,9}}
[[1,2,3,5,7,8,9,10,11,12],[4,6]] => [[1,2,3,4,6,8,9,10,11,12],[5,7]] => [[1,2,3,5,7,8,9,10,11,12],[4,6]] => {{1,2,3,5,7,8,9,10,11,12},{4,6}}
[[1,2,3,5,6,7,9,11,12],[4,8,10]] => [[1,2,3,4,6,7,8,10,12],[5,9,11]] => [[1,2,3,5,6,7,9,11,12],[4,8,10]] => {{1,2,3,5,6,7,9,11,12},{4,8,10}}
[[1,2,3,5,6,8,9,11,12],[4,7,10]] => [[1,2,3,4,6,7,9,10,12],[5,8,11]] => [[1,2,3,5,6,8,9,11,12],[4,7,10]] => {{1,2,3,5,6,8,9,11,12},{4,7,10}}
[[1,2,3,5,6,8,10,11,12],[4,7,9]] => [[1,2,3,4,6,7,9,11,12],[5,8,10]] => [[1,2,3,5,6,8,10,11,12],[4,7,9]] => {{1,2,3,5,6,8,10,11,12},{4,7,9}}
[[1,2,3,5,6,8,9,10,11,12],[4,7]] => [[1,2,3,4,6,7,9,10,11,12],[5,8]] => [[1,2,3,5,6,8,9,10,11,12],[4,7]] => {{1,2,3,5,6,8,9,10,11,12},{4,7}}
[[1,2,3,5,6,7,8,9,11,12],[4,10]] => [[1,2,3,4,6,7,8,9,10,12],[5,11]] => [[1,2,3,5,6,7,8,9,11,12],[4,10]] => {{1,2,3,5,6,7,8,9,11,12},{4,10}}
[[1,2,3,5,6,7,8,10,11,12],[4,9]] => [[1,2,3,4,6,7,8,9,11,12],[5,10]] => [[1,2,3,5,6,7,8,10,11,12],[4,9]] => {{1,2,3,5,6,7,8,10,11,12},{4,9}}
[[1,2,3,5,6,7,9,10,11,12],[4,8]] => [[1,2,3,4,6,7,8,10,11,12],[5,9]] => [[1,2,3,5,6,7,9,10,11,12],[4,8]] => {{1,2,3,5,6,7,9,10,11,12},{4,8}}
[[1,2,3,5,6,7,8,9,10,11,12],[4]] => [[1,2,3,4,6,7,8,9,10,11,12],[5]] => [[1,2,3,5,6,7,8,9,10,11,12],[4]] => {{1,2,3,5,6,7,8,9,10,11,12},{4}}
[[1,2,3,4,5,7,9,11,12],[6,8,10]] => [[1,2,3,4,5,6,8,10,12],[7,9,11]] => [[1,2,3,4,5,7,9,11,12],[6,8,10]] => {{1,2,3,4,5,7,9,11,12},{6,8,10}}
[[1,2,3,4,5,8,9,10,11,12],[6,7]] => [[1,2,3,4,5,6,7,10,11,12],[8,9]] => [[1,2,3,4,5,6,9,10,11,12],[7,8]] => {{1,2,3,4,5,6,9,10,11,12},{7,8}}
[[1,2,3,4,6,7,9,11,12],[5,8,10]] => [[1,2,3,4,5,7,8,10,12],[6,9,11]] => [[1,2,3,4,6,7,9,11,12],[5,8,10]] => {{1,2,3,4,6,7,9,11,12},{5,8,10}}
[[1,2,3,4,6,8,9,11,12],[5,7,10]] => [[1,2,3,4,5,7,9,10,12],[6,8,11]] => [[1,2,3,4,6,8,9,11,12],[5,7,10]] => {{1,2,3,4,6,8,9,11,12},{5,7,10}}
[[1,2,3,4,6,8,10,11,12],[5,7,9]] => [[1,2,3,4,5,7,9,11,12],[6,8,10]] => [[1,2,3,4,6,8,10,11,12],[5,7,9]] => {{1,2,3,4,6,8,10,11,12},{5,7,9}}
[[1,2,3,4,6,8,9,10,11,12],[5,7]] => [[1,2,3,4,5,7,9,10,11,12],[6,8]] => [[1,2,3,4,6,8,9,10,11,12],[5,7]] => {{1,2,3,4,6,8,9,10,11,12},{5,7}}
[[1,2,3,4,6,7,8,9,11,12],[5,10]] => [[1,2,3,4,5,7,8,9,10,12],[6,11]] => [[1,2,3,4,6,7,8,9,11,12],[5,10]] => {{1,2,3,4,6,7,8,9,11,12},{5,10}}
[[1,2,3,4,6,7,8,10,11,12],[5,9]] => [[1,2,3,4,5,7,8,9,11,12],[6,10]] => [[1,2,3,4,6,7,8,10,11,12],[5,9]] => {{1,2,3,4,6,7,8,10,11,12},{5,9}}
[[1,2,3,4,6,7,9,10,11,12],[5,8]] => [[1,2,3,4,5,7,8,10,11,12],[6,9]] => [[1,2,3,4,6,7,9,10,11,12],[5,8]] => {{1,2,3,4,6,7,9,10,11,12},{5,8}}
[[1,2,3,4,6,7,8,9,10,11,12],[5]] => [[1,2,3,4,5,7,8,9,10,11,12],[6]] => [[1,2,3,4,6,7,8,9,10,11,12],[5]] => {{1,2,3,4,6,7,8,9,10,11,12},{5}}
[[1,2,3,4,5,6,7,9,11,12],[8,10]] => [[1,2,3,4,5,6,7,8,10,12],[9,11]] => [[1,2,3,4,5,6,7,9,11,12],[8,10]] => {{1,2,3,4,5,6,7,9,11,12},{8,10}}
[[1,2,3,4,5,6,8,9,11,12],[7,10]] => [[1,2,3,4,5,6,7,9,10,12],[8,11]] => [[1,2,3,4,5,6,8,9,11,12],[7,10]] => {{1,2,3,4,5,6,8,9,11,12},{7,10}}
[[1,2,3,4,5,6,8,10,11,12],[7,9]] => [[1,2,3,4,5,6,7,9,11,12],[8,10]] => [[1,2,3,4,5,6,8,10,11,12],[7,9]] => {{1,2,3,4,5,6,8,10,11,12},{7,9}}
[[1,2,3,4,5,6,9,10,11,12],[7,8]] => [[1,2,3,4,5,6,7,8,11,12],[9,10]] => [[1,2,3,4,5,6,7,10,11,12],[8,9]] => {{1,2,3,4,5,6,7,10,11,12},{8,9}}
[[1,2,3,4,5,7,8,9,11,12],[6,10]] => [[1,2,3,4,5,6,8,9,10,12],[7,11]] => [[1,2,3,4,5,7,8,9,11,12],[6,10]] => {{1,2,3,4,5,7,8,9,11,12},{6,10}}
[[1,2,3,4,5,7,8,10,11,12],[6,9]] => [[1,2,3,4,5,6,8,9,11,12],[7,10]] => [[1,2,3,4,5,7,8,10,11,12],[6,9]] => {{1,2,3,4,5,7,8,10,11,12},{6,9}}
[[1,2,3,4,5,7,9,10,11,12],[6,8]] => [[1,2,3,4,5,6,8,10,11,12],[7,9]] => [[1,2,3,4,5,7,9,10,11,12],[6,8]] => {{1,2,3,4,5,7,9,10,11,12},{6,8}}
[[1,2,3,4,5,7,8,9,10,11,12],[6]] => [[1,2,3,4,5,6,8,9,10,11,12],[7]] => [[1,2,3,4,5,7,8,9,10,11,12],[6]] => {{1,2,3,4,5,7,8,9,10,11,12},{6}}
[[1,2,3,4,5,6,7,8,9,11,12],[10]] => [[1,2,3,4,5,6,7,8,9,10,12],[11]] => [[1,2,3,4,5,6,7,8,9,11,12],[10]] => {{1,2,3,4,5,6,7,8,9,11,12},{10}}
[[1,2,3,4,5,6,7,8,10,11,12],[9]] => [[1,2,3,4,5,6,7,8,9,11,12],[10]] => [[1,2,3,4,5,6,7,8,10,11,12],[9]] => {{1,2,3,4,5,6,7,8,10,11,12},{9}}
[[1,2,3,4,5,6,7,9,10,11,12],[8]] => [[1,2,3,4,5,6,7,8,10,11,12],[9]] => [[1,2,3,4,5,6,7,9,10,11,12],[8]] => {{1,2,3,4,5,6,7,9,10,11,12},{8}}
[[1,2,3,4,5,6,8,9,10,11,12],[7]] => [[1,2,3,4,5,6,7,9,10,11,12],[8]] => [[1,2,3,4,5,6,8,9,10,11,12],[7]] => {{1,2,3,4,5,6,8,9,10,11,12},{7}}
[[1,2,5,6,7,8],[3,4,9]] => [[1,2,3,4,7,8,9],[5,6]] => [[1,2,3,6,7,8,9],[4,5]] => {{1,2,3,6,7,8,9},{4,5}}
[[1,2,5,6,7,8],[3,4],[9]] => [[1,2,3,4,7,8,9],[5,6]] => [[1,2,3,6,7,8,9],[4,5]] => {{1,2,3,6,7,8,9},{4,5}}
[[1,4,5,6,7,8],[2],[3],[9]] => [[1,2,5,6,7,8,9],[3],[4]] => [[1,4,5,6,7,8,9],[2],[3]] => {{1,4,5,6,7,8,9},{2},{3}}
[[1,2,3,7,8],[4,5,6],[9]] => [[1,2,3,4,5,6],[7,8,9]] => [[1,2,3,4,5,9],[6,7,8]] => {{1,2,3,4,5,9},{6,7,8}}
[[1,5,6,7,8],[2],[3],[4],[9]] => [[1,2,6,7,8,9],[3],[4],[5]] => [[1,5,6,7,8,9],[2],[3],[4]] => {{1,5,6,7,8,9},{2},{3},{4}}
[[1,2,7,8],[3,4],[5,6],[9]] => [[1,2,3,4,9],[5,6],[7,8]] => [[1,2,3,8,9],[4,5],[6,7]] => {{1,2,3,8,9},{4,5},{6,7}}
[[1,6,7,8],[2],[3],[4],[5],[9]] => [[1,2,7,8,9],[3],[4],[5],[6]] => [[1,6,7,8,9],[2],[3],[4],[5]] => {{1,6,7,8,9},{2},{3},{4},{5}}
[[1,7,8],[2],[3],[4],[5],[6],[9]] => [[1,2,8,9],[3],[4],[5],[6],[7]] => [[1,7,8,9],[2],[3],[4],[5],[6]] => {{1,7,8,9},{2},{3},{4},{5},{6}}
[[1,2,5,6,7,8,9],[3,4,10]] => [[1,2,3,4,7,8,9,10],[5,6]] => [[1,2,3,6,7,8,9,10],[4,5]] => {{1,2,3,6,7,8,9,10},{4,5}}
[[1,2,5,6,7,8,9],[3,4],[10]] => [[1,2,3,4,7,8,9,10],[5,6]] => [[1,2,3,6,7,8,9,10],[4,5]] => {{1,2,3,6,7,8,9,10},{4,5}}
[[1,4,5,6,7,8,9],[2],[3],[10]] => [[1,2,5,6,7,8,9,10],[3],[4]] => [[1,4,5,6,7,8,9,10],[2],[3]] => {{1,4,5,6,7,8,9,10},{2},{3}}
[[1,5,6,7,8,9],[2],[3],[4],[10]] => [[1,2,6,7,8,9,10],[3],[4],[5]] => [[1,5,6,7,8,9,10],[2],[3],[4]] => {{1,5,6,7,8,9,10},{2},{3},{4}}
[[1,2,3,4,9],[5,6,7,8],[10]] => [[1,2,3,4,5,6,7,8],[9,10]] => [[1,2,3,4,5,6,7,10],[8,9]] => {{1,2,3,4,5,6,7,10},{8,9}}
[[1,2,7,8,9],[3,4],[5,6],[10]] => [[1,2,3,4,9,10],[5,6],[7,8]] => [[1,2,3,8,9,10],[4,5],[6,7]] => {{1,2,3,8,9,10},{4,5},{6,7}}
[[1,6,7,8,9],[2],[3],[4],[5],[10]] => [[1,2,7,8,9,10],[3],[4],[5],[6]] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => {{1,6,7,8,9,10},{2},{3},{4},{5}}
[[1,7,8,9],[2],[3],[4],[5],[6],[10]] => [[1,2,8,9,10],[3],[4],[5],[6],[7]] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => {{1,7,8,9,10},{2},{3},{4},{5},{6}}
[[1,2,9],[3,4],[5,6],[7,8],[10]] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[1,2,3,10],[4,5],[6,7],[8,9]] => {{1,2,3,10},{4,5},{6,7},{8,9}}
[[1,8,9],[2],[3],[4],[5],[6],[7],[10]] => [[1,2,9,10],[3],[4],[5],[6],[7],[8]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => {{1,8,9,10},{2},{3},{4},{5},{6},{7}}
[[1,2,3,6,7,8,9],[4,5]] => [[1,2,3,4,5,8,9],[6,7]] => [[1,2,3,4,7,8,9],[5,6]] => {{1,2,3,4,7,8,9},{5,6}}
[[1,2,3,4,8,9],[5,6,7]] => [[1,2,3,4,5,6,7],[8,9]] => [[1,2,3,4,5,6,9],[7,8]] => {{1,2,3,4,5,6,9},{7,8}}
[[1,2,3,8,9],[4,5],[6,7]] => [[1,2,3,4,5],[6,7],[8,9]] => [[1,2,3,4,9],[5,6],[7,8]] => {{1,2,3,4,9},{5,6},{7,8}}
[[1,2,5,6],[3,4,8,9],[7]] => [[1,2,3,4,7,8,9],[5,6]] => [[1,2,3,6,7,8,9],[4,5]] => {{1,2,3,6,7,8,9},{4,5}}
[[1,2,3,6],[4,5,9],[7,8]] => [[1,2,3,4,5,8,9],[6,7]] => [[1,2,3,4,7,8,9],[5,6]] => {{1,2,3,4,7,8,9},{5,6}}
[[1,2,8,9],[3],[4],[5],[6],[7]] => [[1,2,3,9],[4],[5],[6],[7],[8]] => [[1,2,8,9],[3],[4],[5],[6],[7]] => {{1,2,8,9},{3},{4},{5},{6},{7}}
[[1,2,3,6,7,8,9,10],[4,5]] => [[1,2,3,4,5,8,9,10],[6,7]] => [[1,2,3,4,7,8,9,10],[5,6]] => {{1,2,3,4,7,8,9,10},{5,6}}
[[1,2,3,4,8,9,10],[5,6,7]] => [[1,2,3,4,5,6,7],[8,9,10]] => [[1,2,3,4,5,6,10],[7,8,9]] => {{1,2,3,4,5,6,10},{7,8,9}}
[[1,2,3,8,9,10],[4,5],[6,7]] => [[1,2,3,4,5,10],[6,7],[8,9]] => [[1,2,3,4,9,10],[5,6],[7,8]] => {{1,2,3,4,9,10},{5,6},{7,8}}
[[1,2,4,5,6],[3,8,9,10],[7]] => [[1,2,3,5,6,7,8,9,10],[4]] => [[1,2,4,5,6,7,8,9,10],[3]] => {{1,2,4,5,6,7,8,9,10},{3}}
[[1,2,4,9,10],[3,6],[5,8],[7]] => [[1,2,3,5,6],[4,8],[7,10],[9]] => [[1,2,4,5,10],[3,7],[6,9],[8]] => {{1,2,4,5,10},{3,7},{6,9},{8}}
[[1,2,9,10],[3],[4],[5],[6],[7],[8]] => [[1,2,3,10],[4],[5],[6],[7],[8],[9]] => [[1,2,9,10],[3],[4],[5],[6],[7],[8]] => {{1,2,9,10},{3},{4},{5},{6},{7},{8}}
[[1,2,4],[3,6],[5,8],[7,10],[9]] => [[1,2,3,5,6],[4,8],[7,10],[9]] => [[1,2,4,5,10],[3,7],[6,9],[8]] => {{1,2,4,5,10},{3,7},{6,9},{8}}
[[1,2,4,5,6,7],[3,9,10],[8]] => [[1,2,3,5,6,7,8,9,10],[4]] => [[1,2,4,5,6,7,8,9,10],[3]] => {{1,2,4,5,6,7,8,9,10},{3}}
[[1,2,3,4,9,10],[5,6],[7,8]] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[1,2,3,4,5,10],[6,7],[8,9]] => {{1,2,3,4,5,10},{6,7},{8,9}}
[[1,2,4,5,6,7,8,9],[3],[10]] => [[1,2,3,5,6,7,8,9,10],[4]] => [[1,2,4,5,6,7,8,9,10],[3]] => {{1,2,4,5,6,7,8,9,10},{3}}
[[1,2,3,4,7,8],[5,6],[9,10]] => [[1,2,3,4,5,6,9,10],[7,8]] => [[1,2,3,4,5,8,9,10],[6,7]] => {{1,2,3,4,5,8,9,10},{6,7}}
[[1,2,3,4,5,6,7,9],[8],[10]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,3,4,5,6,7,9,10],[8]] => {{1,2,3,4,5,6,7,9,10},{8}}
[[1,2,8],[3,9],[4],[5],[6],[7]] => [[1,2,3,9],[4],[5],[6],[7],[8]] => [[1,2,8,9],[3],[4],[5],[6],[7]] => {{1,2,8,9},{3},{4},{5},{6},{7}}
[[1,2,9],[3,10],[4],[5],[6],[7],[8]] => [[1,2,3,10],[4],[5],[6],[7],[8],[9]] => [[1,2,9,10],[3],[4],[5],[6],[7],[8]] => {{1,2,9,10},{3},{4},{5},{6},{7},{8}}
[[1,5,7],[2,6,8],[3],[4],[9]] => [[1,2,6,8],[3,7,9],[4],[5]] => [[1,5,7,9],[2,6,8],[3],[4]] => {{1,5,7,9},{2,6,8},{3},{4}}
[[1,7],[2,8],[3,9],[4],[5],[6],[10]] => [[1,2,8],[3,9],[4,10],[5],[6],[7]] => [[1,7,10],[2,8],[3,9],[4],[5],[6]] => {{1,7,10},{2,8},{3,9},{4},{5},{6}}
[[1,7],[2,8],[3],[4],[5],[6],[9]] => [[1,2,8],[3,9],[4],[5],[6],[7]] => [[1,7,9],[2,8],[3],[4],[5],[6]] => {{1,7,9},{2,8},{3},{4},{5},{6}}
[[1,6],[2,7],[3,8],[4],[5],[9]] => [[1,2,7],[3,8],[4,9],[5],[6]] => [[1,6,9],[2,7],[3,8],[4],[5]] => {{1,6,9},{2,7},{3,8},{4},{5}}
[[1,6,8],[2,7],[3],[4],[5],[9]] => [[1,2,7,9],[3,8],[4],[5],[6]] => [[1,6,8,9],[2,7],[3],[4],[5]] => {{1,6,8,9},{2,7},{3},{4},{5}}
[[1,5,8],[2,6],[3,7],[4],[9]] => [[1,2,6,9],[3,7],[4,8],[5]] => [[1,5,8,9],[2,6],[3,7],[4]] => {{1,5,8,9},{2,6},{3,7},{4}}
[[1,5,7,8],[2,6],[3],[4],[9]] => [[1,2,6,8,9],[3,7],[4],[5]] => [[1,5,7,8,9],[2,6],[3],[4]] => {{1,5,7,8,9},{2,6},{3},{4}}
[[1,4,7],[2,5,8],[3,6],[9]] => [[1,2,5,8],[3,6,9],[4,7]] => [[1,4,7,9],[2,5,8],[3,6]] => {{1,4,7,9},{2,5,8},{3,6}}
[[1,4,7,8],[2,5],[3,6],[9]] => [[1,2,5,8,9],[3,6],[4,7]] => [[1,4,7,8,9],[2,5],[3,6]] => {{1,4,7,8,9},{2,5},{3,6}}
[[1,4,6,8],[2,5,7],[3],[9]] => [[1,2,5,7,9],[3,6,8],[4]] => [[1,4,6,8,9],[2,5,7],[3]] => {{1,4,6,8,9},{2,5,7},{3}}
[[1,4,6,7,8],[2,5],[3],[9]] => [[1,2,5,7,8,9],[3,6],[4]] => [[1,4,6,7,8,9],[2,5],[3]] => {{1,4,6,7,8,9},{2,5},{3}}
[[1,3,5,7,8],[2,4,6],[9]] => [[1,2,4,6,8,9],[3,5,7]] => [[1,3,5,7,8,9],[2,4,6]] => {{1,3,5,7,8,9},{2,4,6}}
[[1,3,5,6,7,8],[2,4],[9]] => [[1,2,4,6,7,8,9],[3,5]] => [[1,3,5,6,7,8,9],[2,4]] => {{1,3,5,6,7,8,9},{2,4}}
[[1,8],[2,9],[3],[4],[5],[6],[7],[10]] => [[1,2,9],[3,10],[4],[5],[6],[7],[8]] => [[1,8,10],[2,9],[3],[4],[5],[6],[7]] => {{1,8,10},{2,9},{3},{4},{5},{6},{7}}
[[1,7,9],[2,8],[3],[4],[5],[6],[10]] => [[1,2,8,10],[3,9],[4],[5],[6],[7]] => [[1,7,9,10],[2,8],[3],[4],[5],[6]] => {{1,7,9,10},{2,8},{3},{4},{5},{6}}
[[1,6],[2,7],[3,8],[4,9],[5],[10]] => [[1,2,7],[3,8],[4,9],[5,10],[6]] => [[1,6,10],[2,7],[3,8],[4,9],[5]] => {{1,6,10},{2,7},{3,8},{4,9},{5}}
[[1,6,9],[2,7],[3,8],[4],[5],[10]] => [[1,2,7,10],[3,8],[4,9],[5],[6]] => [[1,6,9,10],[2,7],[3,8],[4],[5]] => {{1,6,9,10},{2,7},{3,8},{4},{5}}
[[1,6,8],[2,7,9],[3],[4],[5],[10]] => [[1,2,7,9],[3,8,10],[4],[5],[6]] => [[1,6,8,10],[2,7,9],[3],[4],[5]] => {{1,6,8,10},{2,7,9},{3},{4},{5}}
[[1,6,8,9],[2,7],[3],[4],[5],[10]] => [[1,2,7,9,10],[3,8],[4],[5],[6]] => [[1,6,8,9,10],[2,7],[3],[4],[5]] => {{1,6,8,9,10},{2,7},{3},{4},{5}}
[[1,5,9],[2,6],[3,7],[4,8],[10]] => [[1,2,6,10],[3,7],[4,8],[5,9]] => [[1,5,9,10],[2,6],[3,7],[4,8]] => {{1,5,9,10},{2,6},{3,7},{4,8}}
[[1,5,8],[2,6,9],[3,7],[4],[10]] => [[1,2,6,9],[3,7,10],[4,8],[5]] => [[1,5,8,10],[2,6,9],[3,7],[4]] => {{1,5,8,10},{2,6,9},{3,7},{4}}
[[1,5,8,9],[2,6],[3,7],[4],[10]] => [[1,2,6,9,10],[3,7],[4,8],[5]] => [[1,5,8,9,10],[2,6],[3,7],[4]] => {{1,5,8,9,10},{2,6},{3,7},{4}}
[[1,5,7,9],[2,6,8],[3],[4],[10]] => [[1,2,6,8,10],[3,7,9],[4],[5]] => [[1,5,7,9,10],[2,6,8],[3],[4]] => {{1,5,7,9,10},{2,6,8},{3},{4}}
[[1,5,7,8,9],[2,6],[3],[4],[10]] => [[1,2,6,8,9,10],[3,7],[4],[5]] => [[1,5,7,8,9,10],[2,6],[3],[4]] => {{1,5,7,8,9,10},{2,6},{3},{4}}
[[1,4,7,9],[2,5,8],[3,6],[10]] => [[1,2,5,8,10],[3,6,9],[4,7]] => [[1,4,7,9,10],[2,5,8],[3,6]] => {{1,4,7,9,10},{2,5,8},{3,6}}
[[1,4,7,8,9],[2,5],[3,6],[10]] => [[1,2,5,8,9,10],[3,6],[4,7]] => [[1,4,7,8,9,10],[2,5],[3,6]] => {{1,4,7,8,9,10},{2,5},{3,6}}
[[1,4,6,8],[2,5,7,9],[3],[10]] => [[1,2,5,7,9],[3,6,8,10],[4]] => [[1,4,6,8,10],[2,5,7,9],[3]] => {{1,4,6,8,10},{2,5,7,9},{3}}
[[1,4,6,8,9],[2,5,7],[3],[10]] => [[1,2,5,7,9,10],[3,6,8],[4]] => [[1,4,6,8,9,10],[2,5,7],[3]] => {{1,4,6,8,9,10},{2,5,7},{3}}
[[1,4,6,7,8,9],[2,5],[3],[10]] => [[1,2,5,7,8,9,10],[3,6],[4]] => [[1,4,6,7,8,9,10],[2,5],[3]] => {{1,4,6,7,8,9,10},{2,5},{3}}
[[1,3,5,7,9],[2,4,6,8],[10]] => [[1,2,4,6,8,10],[3,5,7,9]] => [[1,3,5,7,9,10],[2,4,6,8]] => {{1,3,5,7,9,10},{2,4,6,8}}
[[1,3,5,7,8,9],[2,4,6],[10]] => [[1,2,4,6,8,9,10],[3,5,7]] => [[1,3,5,7,8,9,10],[2,4,6]] => {{1,3,5,7,8,9,10},{2,4,6}}
[[1,3,5,6,7,8,9],[2,4],[10]] => [[1,2,4,6,7,8,9,10],[3,5]] => [[1,3,5,6,7,8,9,10],[2,4]] => {{1,3,5,6,7,8,9,10},{2,4}}
[[1,2,4,6,8,9],[3,5,7,10]] => [[1,2,3,5,7,9,10],[4,6,8]] => [[1,2,4,6,8,9,10],[3,5,7]] => {{1,2,4,6,8,9,10},{3,5,7}}
[[1,2,4,6,7,8,9],[3,5,10]] => [[1,2,3,5,7,8,9,10],[4,6]] => [[1,2,4,6,7,8,9,10],[3,5]] => {{1,2,4,6,7,8,9,10},{3,5}}
[[1,2,4,5,6,7,8,9],[3,10]] => [[1,2,3,5,6,7,8,9,10],[4]] => [[1,2,4,5,6,7,8,9,10],[3]] => {{1,2,4,5,6,7,8,9,10},{3}}
[[1,2],[3,9],[4],[5],[6],[7],[8]] => [[1,2,3,9],[4],[5],[6],[7],[8]] => [[1,2,8,9],[3],[4],[5],[6],[7]] => {{1,2,8,9},{3},{4},{5},{6},{7}}
[[1,2],[3,10],[4],[5],[6],[7],[8],[9]] => [[1,2,3,10],[4],[5],[6],[7],[8],[9]] => [[1,2,9,10],[3],[4],[5],[6],[7],[8]] => {{1,2,9,10},{3},{4},{5},{6},{7},{8}}
[[1,2,3,5,7],[4,6,9,10],[8]] => [[1,2,3,4,6,8,9,10],[5,7]] => [[1,2,3,5,7,8,9,10],[4,6]] => {{1,2,3,5,7,8,9,10},{4,6}}
[[1,2,3,4,5,7],[6,9,10],[8]] => [[1,2,3,4,5,6,8,9,10],[7]] => [[1,2,3,4,5,7,8,9,10],[6]] => {{1,2,3,4,5,7,8,9,10},{6}}
[[1,2,3,4,5,6,7],[8,10],[9]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,3,4,5,6,7,9,10],[8]] => {{1,2,3,4,5,6,7,9,10},{8}}
[[1,2,3,4,6,8],[5,7,9,10]] => [[1,2,3,4,5,7,9,10],[6,8]] => [[1,2,3,4,6,8,9,10],[5,7]] => {{1,2,3,4,6,8,9,10},{5,7}}
[[1,2,3,4,5,6,8],[7,9,10]] => [[1,2,3,4,5,6,7,9,10],[8]] => [[1,2,3,4,5,6,8,9,10],[7]] => {{1,2,3,4,5,6,8,9,10},{7}}
[[1,2,3,4,5,8,9],[6,7]] => [[1,2,3,4,5,6,7],[8,9]] => [[1,2,3,4,5,6,9],[7,8]] => {{1,2,3,4,5,6,9},{7,8}}
[[1,2,3,4,6,7,9],[5,8,10]] => [[1,2,3,4,5,7,8,10],[6,9]] => [[1,2,3,4,6,7,9,10],[5,8]] => {{1,2,3,4,6,7,9,10},{5,8}}
[[1,2,3,4,5,6,8,9],[7,10]] => [[1,2,3,4,5,6,7,9,10],[8]] => [[1,2,3,4,5,6,8,9,10],[7]] => {{1,2,3,4,5,6,8,9,10},{7}}
[[1,2,3,4,7,9],[5,6],[8]] => [[1,2,3,4,5,6],[7,8],[9]] => [[1,2,3,4,5,9],[6,7],[8]] => {{1,2,3,4,5,9},{6,7},{8}}
[[1,2,3,4,7,10],[5,6],[8],[9]] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,2,3,4,5,10],[6,7],[8],[9]] => {{1,2,3,4,5,10},{6,7},{8},{9}}
[[1,2,3,4,5,6,8],[7,10],[9]] => [[1,2,3,4,5,6,7,9,10],[8]] => [[1,2,3,4,5,6,8,9,10],[7]] => {{1,2,3,4,5,6,8,9,10},{7}}
[[1,2,3,4,5,7],[6,8,9,10]] => [[1,2,3,4,5,6,8,9,10],[7]] => [[1,2,3,4,5,7,8,9,10],[6]] => {{1,2,3,4,5,7,8,9,10},{6}}
[[1,2,3,4,5,7],[6,8,10],[9]] => [[1,2,3,4,5,6,8,10],[7,9]] => [[1,2,3,4,5,7,9,10],[6,8]] => {{1,2,3,4,5,7,9,10},{6,8}}
[[1,2,3,4,5,7],[6,9],[8,10]] => [[1,2,3,4,5,6,8,9],[7,10]] => [[1,2,3,4,5,7,8,10],[6,9]] => {{1,2,3,4,5,7,8,10},{6,9}}
[[1,2,3,4,6],[5,7,8,10],[9]] => [[1,2,3,4,5,7,8,10],[6,9]] => [[1,2,3,4,6,7,9,10],[5,8]] => {{1,2,3,4,6,7,9,10},{5,8}}
[[1,2,3,4,6],[5,7,9],[8,10]] => [[1,2,3,4,5,7,9],[6,8,10]] => [[1,2,3,4,6,8,10],[5,7,9]] => {{1,2,3,4,6,8,10},{5,7,9}}
[[1,2,3,5],[4,6,7,9],[8,10]] => [[1,2,3,4,6,7,9],[5,8,10]] => [[1,2,3,5,6,8,10],[4,7,9]] => {{1,2,3,5,6,8,10},{4,7,9}}
[[1,2,3,5],[4,6,8],[7,9,10]] => [[1,2,3,4,6,8,10],[5,7,9]] => [[1,2,3,5,7,9,10],[4,6,8]] => {{1,2,3,5,7,9,10},{4,6,8}}
[[1,2,4,5,7,9],[3,6,8,10]] => [[1,2,3,5,6,8,10],[4,7,9]] => [[1,2,4,5,7,9,10],[3,6,8]] => {{1,2,4,5,7,9,10},{3,6,8}}
[[1,4,5,6],[2,8,9],[3],[7]] => [[1,2,5,6,7,8,9],[3],[4]] => [[1,4,5,6,7,8,9],[2],[3]] => {{1,4,5,6,7,8,9},{2},{3}}
[[1,2,4,5,6,7,8],[3,9,10]] => [[1,2,3,5,6,7,8,9,10],[4]] => [[1,2,4,5,6,7,8,9,10],[3]] => {{1,2,4,5,6,7,8,9,10},{3}}
[[1,2,3,6,9],[4,5],[7],[8]] => [[1,2,3,4,5],[6,7],[8],[9]] => [[1,2,3,4,9],[5,6],[7],[8]] => {{1,2,3,4,9},{5,6},{7},{8}}
[[1,2,7,9],[3,4],[5,6],[8]] => [[1,2,3,4],[5,6],[7,8],[9]] => [[1,2,3,9],[4,5],[6,7],[8]] => {{1,2,3,9},{4,5},{6,7},{8}}
[[1,2,5,9],[3,4],[6],[7],[8]] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[1,2,3,9],[4,5],[6],[7],[8]] => {{1,2,3,9},{4,5},{6},{7},{8}}
[[1,2,3,4,5,8,10],[6,7],[9]] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[1,2,3,4,5,6,10],[7,8],[9]] => {{1,2,3,4,5,6,10},{7,8},{9}}
[[1,2,3,7,8,10],[4,5,6],[9]] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[1,2,3,4,5,10],[6,7,8],[9]] => {{1,2,3,4,5,10},{6,7,8},{9}}
[[1,2,3,8,10],[4,5],[6,7],[9]] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[1,2,3,4,10],[5,6],[7,8],[9]] => {{1,2,3,4,10},{5,6},{7,8},{9}}
[[1,2,3,6,10],[4,5],[7],[8],[9]] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[1,2,3,4,10],[5,6],[7],[8],[9]] => {{1,2,3,4,10},{5,6},{7},{8},{9}}
[[1,2,7,10],[3,4],[5,6],[8],[9]] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[1,2,3,10],[4,5],[6,7],[8],[9]] => {{1,2,3,10},{4,5},{6,7},{8},{9}}
[[1,2,5,10],[3,4],[6],[7],[8],[9]] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[1,2,3,10],[4,5],[6],[7],[8],[9]] => {{1,2,3,10},{4,5},{6},{7},{8},{9}}
[[1,6,7],[2,9],[3],[4],[5],[8]] => [[1,2,7,8,9],[3],[4],[5],[6]] => [[1,6,7,8,9],[2],[3],[4],[5]] => {{1,6,7,8,9},{2},{3},{4},{5}}
[[1,5,6,7],[2,9,10],[3],[4],[8]] => [[1,2,6,7,8,9,10],[3],[4],[5]] => [[1,5,6,7,8,9,10],[2],[3],[4]] => {{1,5,6,7,8,9,10},{2},{3},{4}}
[[1,7,8],[2,10],[3],[4],[5],[6],[9]] => [[1,2,8,9,10],[3],[4],[5],[6],[7]] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => {{1,7,8,9,10},{2},{3},{4},{5},{6}}
[[1,5,7,8],[2,6,9,10],[3],[4]] => [[1,2,6,8,9,10],[3,7],[4],[5]] => [[1,5,7,8,9,10],[2,6],[3],[4]] => {{1,5,7,8,9,10},{2,6},{3},{4}}
[[1,5,6,7],[2,8,9,10],[3],[4]] => [[1,2,6,7,8,9,10],[3],[4],[5]] => [[1,5,6,7,8,9,10],[2],[3],[4]] => {{1,5,6,7,8,9,10},{2},{3},{4}}
[[1,6,7,8,9],[2,10],[3],[4],[5]] => [[1,2,7,8,9,10],[3],[4],[5],[6]] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => {{1,6,7,8,9,10},{2},{3},{4},{5}}
[[1,4,5,6,7,8],[2,9],[3]] => [[1,2,5,6,7,8,9],[3],[4]] => [[1,4,5,6,7,8,9],[2],[3]] => {{1,4,5,6,7,8,9},{2},{3}}
[[1,5,6,7,8],[2,9],[3],[4]] => [[1,2,6,7,8,9],[3],[4],[5]] => [[1,5,6,7,8,9],[2],[3],[4]] => {{1,5,6,7,8,9},{2},{3},{4}}
[[1,6,7,8],[2,9],[3],[4],[5]] => [[1,2,7,8,9],[3],[4],[5],[6]] => [[1,6,7,8,9],[2],[3],[4],[5]] => {{1,6,7,8,9},{2},{3},{4},{5}}
[[1,7,8],[2,9],[3],[4],[5],[6]] => [[1,2,8,9],[3],[4],[5],[6],[7]] => [[1,7,8,9],[2],[3],[4],[5],[6]] => {{1,7,8,9},{2},{3},{4},{5},{6}}
[[1,4,5,6,7,8,9],[2,10],[3]] => [[1,2,5,6,7,8,9,10],[3],[4]] => [[1,4,5,6,7,8,9,10],[2],[3]] => {{1,4,5,6,7,8,9,10},{2},{3}}
[[1,2,3,5,6,7],[4,8,9,10]] => [[1,2,3,4,6,7,8,9,10],[5]] => [[1,2,3,5,6,7,8,9,10],[4]] => {{1,2,3,5,6,7,8,9,10},{4}}
[[1,5,6,7,8,9],[2,10],[3],[4]] => [[1,2,6,7,8,9,10],[3],[4],[5]] => [[1,5,6,7,8,9,10],[2],[3],[4]] => {{1,5,6,7,8,9,10},{2},{3},{4}}
[[1,7,8,9],[2,10],[3],[4],[5],[6]] => [[1,2,8,9,10],[3],[4],[5],[6],[7]] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => {{1,7,8,9,10},{2},{3},{4},{5},{6}}
[[1,8,9],[2,10],[3],[4],[5],[6],[7]] => [[1,2,9,10],[3],[4],[5],[6],[7],[8]] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => {{1,8,9,10},{2},{3},{4},{5},{6},{7}}
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).
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
inverse promotion
Description
The inverse promotion of a standard Young tableau.
This map replaces the entry $1$ of the tableau with $n+1$, uses the jeu de taquin to move it to the outer rim, and finally decreases all entries by one.
This map replaces the entry $1$ of the tableau with $n+1$, uses the jeu de taquin to move it to the outer rim, and finally decreases all entries by one.
Map
rows
Description
The set partition whose blocks are the rows of the tableau.
searching the database
Sorry, this map was not found in the database.