Identifier
Mp00284:
Standard tableaux
—rows⟶
Set partitions
Mp00219: Set partitions —inverse Yip⟶ Set partitions
Mp00219: Set partitions —inverse Yip⟶ Set partitions
Images
[[1]] => {{1}} => {{1}}
[[1,2]] => {{1,2}} => {{1,2}}
[[1],[2]] => {{1},{2}} => {{1},{2}}
[[1,2,3]] => {{1,2,3}} => {{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},{2},{3}}
[[1,2,3,4]] => {{1,2,3,4}} => {{1,2,3,4}}
[[1,3,4],[2]] => {{1,3,4},{2}} => {{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]] => {{1,3},{2,4}} => {{1,4},{2,3}}
[[1,2],[3,4]] => {{1,2},{3,4}} => {{1,2,4},{3}}
[[1,4],[2],[3]] => {{1,4},{2},{3}} => {{1},{2},{3,4}}
[[1,3],[2],[4]] => {{1,3},{2},{4}} => {{1},{2,3},{4}}
[[1,2],[3],[4]] => {{1,2},{3},{4}} => {{1,2},{3},{4}}
[[1],[2],[3],[4]] => {{1},{2},{3},{4}} => {{1},{2},{3},{4}}
[[1,2,3,4,5]] => {{1,2,3,4,5}} => {{1,2,3,4,5}}
[[1,3,4,5],[2]] => {{1,3,4,5},{2}} => {{1},{2,3,4,5}}
[[1,2,4,5],[3]] => {{1,2,4,5},{3}} => {{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]] => {{1,3,5},{2,4}} => {{1,4,5},{2,3}}
[[1,2,5],[3,4]] => {{1,2,5},{3,4}} => {{1,2,4,5},{3}}
[[1,3,4],[2,5]] => {{1,3,4},{2,5}} => {{1,5},{2,3,4}}
[[1,2,4],[3,5]] => {{1,2,4},{3,5}} => {{1,2,5},{3,4}}
[[1,2,3],[4,5]] => {{1,2,3},{4,5}} => {{1,2,3,5},{4}}
[[1,4,5],[2],[3]] => {{1,4,5},{2},{3}} => {{1},{2},{3,4,5}}
[[1,3,5],[2],[4]] => {{1,3,5},{2},{4}} => {{1},{2,3},{4,5}}
[[1,2,5],[3],[4]] => {{1,2,5},{3},{4}} => {{1,2},{3},{4,5}}
[[1,3,4],[2],[5]] => {{1,3,4},{2},{5}} => {{1},{2,3,4},{5}}
[[1,2,4],[3],[5]] => {{1,2,4},{3},{5}} => {{1,2},{3,4},{5}}
[[1,2,3],[4],[5]] => {{1,2,3},{4},{5}} => {{1,2,3},{4},{5}}
[[1,4],[2,5],[3]] => {{1,4},{2,5},{3}} => {{1},{2,5},{3,4}}
[[1,3],[2,5],[4]] => {{1,3},{2,5},{4}} => {{1},{2,3,5},{4}}
[[1,2],[3,5],[4]] => {{1,2},{3,5},{4}} => {{1,2},{3,5},{4}}
[[1,3],[2,4],[5]] => {{1,3},{2,4},{5}} => {{1,4},{2,3},{5}}
[[1,2],[3,4],[5]] => {{1,2},{3,4},{5}} => {{1,2,4},{3},{5}}
[[1,5],[2],[3],[4]] => {{1,5},{2},{3},{4}} => {{1},{2},{3},{4,5}}
[[1,4],[2],[3],[5]] => {{1,4},{2},{3},{5}} => {{1},{2},{3,4},{5}}
[[1,3],[2],[4],[5]] => {{1,3},{2},{4},{5}} => {{1},{2,3},{4},{5}}
[[1,2],[3],[4],[5]] => {{1,2},{3},{4},{5}} => {{1,2},{3},{4},{5}}
[[1],[2],[3],[4],[5]] => {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}}
[[1,2,3,4,5,6]] => {{1,2,3,4,5,6}} => {{1,2,3,4,5,6}}
[[1,3,4,5,6],[2]] => {{1,3,4,5,6},{2}} => {{1},{2,3,4,5,6}}
[[1,2,4,5,6],[3]] => {{1,2,4,5,6},{3}} => {{1,2},{3,4,5,6}}
[[1,2,3,5,6],[4]] => {{1,2,3,5,6},{4}} => {{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]] => {{1,3,5,6},{2,4}} => {{1,4,5,6},{2,3}}
[[1,2,5,6],[3,4]] => {{1,2,5,6},{3,4}} => {{1,2,4,5,6},{3}}
[[1,3,4,6],[2,5]] => {{1,3,4,6},{2,5}} => {{1,5,6},{2,3,4}}
[[1,2,4,6],[3,5]] => {{1,2,4,6},{3,5}} => {{1,2,5,6},{3,4}}
[[1,2,3,6],[4,5]] => {{1,2,3,6},{4,5}} => {{1,2,3,5,6},{4}}
[[1,3,4,5],[2,6]] => {{1,3,4,5},{2,6}} => {{1,6},{2,3,4,5}}
[[1,2,4,5],[3,6]] => {{1,2,4,5},{3,6}} => {{1,2,6},{3,4,5}}
[[1,2,3,5],[4,6]] => {{1,2,3,5},{4,6}} => {{1,2,3,6},{4,5}}
[[1,2,3,4],[5,6]] => {{1,2,3,4},{5,6}} => {{1,2,3,4,6},{5}}
[[1,4,5,6],[2],[3]] => {{1,4,5,6},{2},{3}} => {{1},{2},{3,4,5,6}}
[[1,3,5,6],[2],[4]] => {{1,3,5,6},{2},{4}} => {{1},{2,3},{4,5,6}}
[[1,2,5,6],[3],[4]] => {{1,2,5,6},{3},{4}} => {{1,2},{3},{4,5,6}}
[[1,3,4,6],[2],[5]] => {{1,3,4,6},{2},{5}} => {{1},{2,3,4},{5,6}}
[[1,2,4,6],[3],[5]] => {{1,2,4,6},{3},{5}} => {{1,2},{3,4},{5,6}}
[[1,2,3,6],[4],[5]] => {{1,2,3,6},{4},{5}} => {{1,2,3},{4},{5,6}}
[[1,3,4,5],[2],[6]] => {{1,3,4,5},{2},{6}} => {{1},{2,3,4,5},{6}}
[[1,2,4,5],[3],[6]] => {{1,2,4,5},{3},{6}} => {{1,2},{3,4,5},{6}}
[[1,2,3,5],[4],[6]] => {{1,2,3,5},{4},{6}} => {{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],[2,4,6]] => {{1,3,5},{2,4,6}} => {{1,4,5},{2,3,6}}
[[1,2,5],[3,4,6]] => {{1,2,5},{3,4,6}} => {{1,2,4,5},{3,6}}
[[1,3,4],[2,5,6]] => {{1,3,4},{2,5,6}} => {{1,5},{2,3,4,6}}
[[1,2,4],[3,5,6]] => {{1,2,4},{3,5,6}} => {{1,2,5},{3,4,6}}
[[1,2,3],[4,5,6]] => {{1,2,3},{4,5,6}} => {{1,2,3,5},{4,6}}
[[1,4,6],[2,5],[3]] => {{1,4,6},{2,5},{3}} => {{1},{2,5,6},{3,4}}
[[1,3,6],[2,5],[4]] => {{1,3,6},{2,5},{4}} => {{1},{2,3,5,6},{4}}
[[1,2,6],[3,5],[4]] => {{1,2,6},{3,5},{4}} => {{1,2},{3,5,6},{4}}
[[1,3,6],[2,4],[5]] => {{1,3,6},{2,4},{5}} => {{1,4},{2,3},{5,6}}
[[1,2,6],[3,4],[5]] => {{1,2,6},{3,4},{5}} => {{1,2,4},{3},{5,6}}
[[1,4,5],[2,6],[3]] => {{1,4,5},{2,6},{3}} => {{1},{2,6},{3,4,5}}
[[1,3,5],[2,6],[4]] => {{1,3,5},{2,6},{4}} => {{1},{2,3,6},{4,5}}
[[1,2,5],[3,6],[4]] => {{1,2,5},{3,6},{4}} => {{1,2},{3,6},{4,5}}
[[1,3,4],[2,6],[5]] => {{1,3,4},{2,6},{5}} => {{1},{2,3,4,6},{5}}
[[1,2,4],[3,6],[5]] => {{1,2,4},{3,6},{5}} => {{1,2},{3,4,6},{5}}
[[1,2,3],[4,6],[5]] => {{1,2,3},{4,6},{5}} => {{1,2,3},{4,6},{5}}
[[1,3,5],[2,4],[6]] => {{1,3,5},{2,4},{6}} => {{1,4,5},{2,3},{6}}
[[1,2,5],[3,4],[6]] => {{1,2,5},{3,4},{6}} => {{1,2,4,5},{3},{6}}
[[1,3,4],[2,5],[6]] => {{1,3,4},{2,5},{6}} => {{1,5},{2,3,4},{6}}
[[1,2,4],[3,5],[6]] => {{1,2,4},{3,5},{6}} => {{1,2,5},{3,4},{6}}
[[1,2,3],[4,5],[6]] => {{1,2,3},{4,5},{6}} => {{1,2,3,5},{4},{6}}
[[1,5,6],[2],[3],[4]] => {{1,5,6},{2},{3},{4}} => {{1},{2},{3},{4,5,6}}
[[1,4,6],[2],[3],[5]] => {{1,4,6},{2},{3},{5}} => {{1},{2},{3,4},{5,6}}
[[1,3,6],[2],[4],[5]] => {{1,3,6},{2},{4},{5}} => {{1},{2,3},{4},{5,6}}
[[1,2,6],[3],[4],[5]] => {{1,2,6},{3},{4},{5}} => {{1,2},{3},{4},{5,6}}
[[1,4,5],[2],[3],[6]] => {{1,4,5},{2},{3},{6}} => {{1},{2},{3,4,5},{6}}
[[1,3,5],[2],[4],[6]] => {{1,3,5},{2},{4},{6}} => {{1},{2,3},{4,5},{6}}
[[1,2,5],[3],[4],[6]] => {{1,2,5},{3},{4},{6}} => {{1,2},{3},{4,5},{6}}
[[1,3,4],[2],[5],[6]] => {{1,3,4},{2},{5},{6}} => {{1},{2,3,4},{5},{6}}
[[1,2,4],[3],[5],[6]] => {{1,2,4},{3},{5},{6}} => {{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],[2,5],[3,6]] => {{1,4},{2,5},{3,6}} => {{1,6},{2,5},{3,4}}
[[1,3],[2,5],[4,6]] => {{1,3},{2,5},{4,6}} => {{1,6},{2,3,5},{4}}
>>> Load all 1631 entries. <<<
[[1,2],[3,5],[4,6]] => {{1,2},{3,5},{4,6}} => {{1,2,6},{3,5},{4}}
[[1,3],[2,4],[5,6]] => {{1,3},{2,4},{5,6}} => {{1,4},{2,3,6},{5}}
[[1,2],[3,4],[5,6]] => {{1,2},{3,4},{5,6}} => {{1,2,4},{3,6},{5}}
[[1,5],[2,6],[3],[4]] => {{1,5},{2,6},{3},{4}} => {{1},{2},{3,6},{4,5}}
[[1,4],[2,6],[3],[5]] => {{1,4},{2,6},{3},{5}} => {{1},{2},{3,4,6},{5}}
[[1,3],[2,6],[4],[5]] => {{1,3},{2,6},{4},{5}} => {{1},{2,3},{4,6},{5}}
[[1,2],[3,6],[4],[5]] => {{1,2},{3,6},{4},{5}} => {{1,2},{3},{4,6},{5}}
[[1,4],[2,5],[3],[6]] => {{1,4},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6}}
[[1,3],[2,5],[4],[6]] => {{1,3},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6}}
[[1,2],[3,5],[4],[6]] => {{1,2},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6}}
[[1,3],[2,4],[5],[6]] => {{1,3},{2,4},{5},{6}} => {{1,4},{2,3},{5},{6}}
[[1,2],[3,4],[5],[6]] => {{1,2},{3,4},{5},{6}} => {{1,2,4},{3},{5},{6}}
[[1,6],[2],[3],[4],[5]] => {{1,6},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6}}
[[1,5],[2],[3],[4],[6]] => {{1,5},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6}}
[[1,4],[2],[3],[5],[6]] => {{1,4},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6}}
[[1,3],[2],[4],[5],[6]] => {{1,3},{2},{4},{5},{6}} => {{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],[2],[3],[4],[5],[6]] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[[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]] => {{1,3,4,5,6,7},{2}} => {{1},{2,3,4,5,6,7}}
[[1,2,4,5,6,7],[3]] => {{1,2,4,5,6,7},{3}} => {{1,2},{3,4,5,6,7}}
[[1,2,3,5,6,7],[4]] => {{1,2,3,5,6,7},{4}} => {{1,2,3},{4,5,6,7}}
[[1,2,3,4,6,7],[5]] => {{1,2,3,4,6,7},{5}} => {{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]] => {{1,3,5,6,7},{2,4}} => {{1,4,5,6,7},{2,3}}
[[1,2,5,6,7],[3,4]] => {{1,2,5,6,7},{3,4}} => {{1,2,4,5,6,7},{3}}
[[1,3,4,6,7],[2,5]] => {{1,3,4,6,7},{2,5}} => {{1,5,6,7},{2,3,4}}
[[1,2,4,6,7],[3,5]] => {{1,2,4,6,7},{3,5}} => {{1,2,5,6,7},{3,4}}
[[1,2,3,6,7],[4,5]] => {{1,2,3,6,7},{4,5}} => {{1,2,3,5,6,7},{4}}
[[1,3,4,5,7],[2,6]] => {{1,3,4,5,7},{2,6}} => {{1,6,7},{2,3,4,5}}
[[1,2,4,5,7],[3,6]] => {{1,2,4,5,7},{3,6}} => {{1,2,6,7},{3,4,5}}
[[1,2,3,5,7],[4,6]] => {{1,2,3,5,7},{4,6}} => {{1,2,3,6,7},{4,5}}
[[1,2,3,4,7],[5,6]] => {{1,2,3,4,7},{5,6}} => {{1,2,3,4,6,7},{5}}
[[1,3,4,5,6],[2,7]] => {{1,3,4,5,6},{2,7}} => {{1,7},{2,3,4,5,6}}
[[1,2,4,5,6],[3,7]] => {{1,2,4,5,6},{3,7}} => {{1,2,7},{3,4,5,6}}
[[1,2,3,5,6],[4,7]] => {{1,2,3,5,6},{4,7}} => {{1,2,3,7},{4,5,6}}
[[1,2,3,4,6],[5,7]] => {{1,2,3,4,6},{5,7}} => {{1,2,3,4,7},{5,6}}
[[1,2,3,4,5],[6,7]] => {{1,2,3,4,5},{6,7}} => {{1,2,3,4,5,7},{6}}
[[1,4,5,6,7],[2],[3]] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3,4,5,6,7}}
[[1,3,5,6,7],[2],[4]] => {{1,3,5,6,7},{2},{4}} => {{1},{2,3},{4,5,6,7}}
[[1,2,5,6,7],[3],[4]] => {{1,2,5,6,7},{3},{4}} => {{1,2},{3},{4,5,6,7}}
[[1,3,4,6,7],[2],[5]] => {{1,3,4,6,7},{2},{5}} => {{1},{2,3,4},{5,6,7}}
[[1,2,4,6,7],[3],[5]] => {{1,2,4,6,7},{3},{5}} => {{1,2},{3,4},{5,6,7}}
[[1,2,3,6,7],[4],[5]] => {{1,2,3,6,7},{4},{5}} => {{1,2,3},{4},{5,6,7}}
[[1,3,4,5,7],[2],[6]] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3,4,5},{6,7}}
[[1,2,4,5,7],[3],[6]] => {{1,2,4,5,7},{3},{6}} => {{1,2},{3,4,5},{6,7}}
[[1,2,3,5,7],[4],[6]] => {{1,2,3,5,7},{4},{6}} => {{1,2,3},{4,5},{6,7}}
[[1,2,3,4,7],[5],[6]] => {{1,2,3,4,7},{5},{6}} => {{1,2,3,4},{5},{6,7}}
[[1,3,4,5,6],[2],[7]] => {{1,3,4,5,6},{2},{7}} => {{1},{2,3,4,5,6},{7}}
[[1,2,4,5,6],[3],[7]] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3,4,5,6},{7}}
[[1,2,3,5,6],[4],[7]] => {{1,2,3,5,6},{4},{7}} => {{1,2,3},{4,5,6},{7}}
[[1,2,3,4,6],[5],[7]] => {{1,2,3,4,6},{5},{7}} => {{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}}
[[1,3,5,7],[2,4,6]] => {{1,3,5,7},{2,4,6}} => {{1,4,5},{2,3,6,7}}
[[1,2,5,7],[3,4,6]] => {{1,2,5,7},{3,4,6}} => {{1,2,4,5},{3,6,7}}
[[1,3,4,7],[2,5,6]] => {{1,3,4,7},{2,5,6}} => {{1,5},{2,3,4,6,7}}
[[1,2,4,7],[3,5,6]] => {{1,2,4,7},{3,5,6}} => {{1,2,5},{3,4,6,7}}
[[1,2,3,7],[4,5,6]] => {{1,2,3,7},{4,5,6}} => {{1,2,3,5},{4,6,7}}
[[1,3,5,6],[2,4,7]] => {{1,3,5,6},{2,4,7}} => {{1,4,5,6},{2,3,7}}
[[1,2,5,6],[3,4,7]] => {{1,2,5,6},{3,4,7}} => {{1,2,4,5,6},{3,7}}
[[1,3,4,6],[2,5,7]] => {{1,3,4,6},{2,5,7}} => {{1,5,6},{2,3,4,7}}
[[1,2,4,6],[3,5,7]] => {{1,2,4,6},{3,5,7}} => {{1,2,5,6},{3,4,7}}
[[1,2,3,6],[4,5,7]] => {{1,2,3,6},{4,5,7}} => {{1,2,3,5,6},{4,7}}
[[1,3,4,5],[2,6,7]] => {{1,3,4,5},{2,6,7}} => {{1,6},{2,3,4,5,7}}
[[1,2,4,5],[3,6,7]] => {{1,2,4,5},{3,6,7}} => {{1,2,6},{3,4,5,7}}
[[1,2,3,5],[4,6,7]] => {{1,2,3,5},{4,6,7}} => {{1,2,3,6},{4,5,7}}
[[1,2,3,4],[5,6,7]] => {{1,2,3,4},{5,6,7}} => {{1,2,3,4,6},{5,7}}
[[1,4,6,7],[2,5],[3]] => {{1,4,6,7},{2,5},{3}} => {{1},{2,5,6,7},{3,4}}
[[1,3,6,7],[2,5],[4]] => {{1,3,6,7},{2,5},{4}} => {{1},{2,3,5,6,7},{4}}
[[1,2,6,7],[3,5],[4]] => {{1,2,6,7},{3,5},{4}} => {{1,2},{3,5,6,7},{4}}
[[1,3,6,7],[2,4],[5]] => {{1,3,6,7},{2,4},{5}} => {{1,4},{2,3},{5,6,7}}
[[1,2,6,7],[3,4],[5]] => {{1,2,6,7},{3,4},{5}} => {{1,2,4},{3},{5,6,7}}
[[1,4,5,7],[2,6],[3]] => {{1,4,5,7},{2,6},{3}} => {{1},{2,6,7},{3,4,5}}
[[1,3,5,7],[2,6],[4]] => {{1,3,5,7},{2,6},{4}} => {{1},{2,3,6,7},{4,5}}
[[1,2,5,7],[3,6],[4]] => {{1,2,5,7},{3,6},{4}} => {{1,2},{3,6,7},{4,5}}
[[1,3,4,7],[2,6],[5]] => {{1,3,4,7},{2,6},{5}} => {{1},{2,3,4,6,7},{5}}
[[1,2,4,7],[3,6],[5]] => {{1,2,4,7},{3,6},{5}} => {{1,2},{3,4,6,7},{5}}
[[1,2,3,7],[4,6],[5]] => {{1,2,3,7},{4,6},{5}} => {{1,2,3},{4,6,7},{5}}
[[1,3,5,7],[2,4],[6]] => {{1,3,5,7},{2,4},{6}} => {{1,4,5},{2,3},{6,7}}
[[1,2,5,7],[3,4],[6]] => {{1,2,5,7},{3,4},{6}} => {{1,2,4,5},{3},{6,7}}
[[1,3,4,7],[2,5],[6]] => {{1,3,4,7},{2,5},{6}} => {{1,5},{2,3,4},{6,7}}
[[1,2,4,7],[3,5],[6]] => {{1,2,4,7},{3,5},{6}} => {{1,2,5},{3,4},{6,7}}
[[1,2,3,7],[4,5],[6]] => {{1,2,3,7},{4,5},{6}} => {{1,2,3,5},{4},{6,7}}
[[1,4,5,6],[2,7],[3]] => {{1,4,5,6},{2,7},{3}} => {{1},{2,7},{3,4,5,6}}
[[1,3,5,6],[2,7],[4]] => {{1,3,5,6},{2,7},{4}} => {{1},{2,3,7},{4,5,6}}
[[1,2,5,6],[3,7],[4]] => {{1,2,5,6},{3,7},{4}} => {{1,2},{3,7},{4,5,6}}
[[1,3,4,6],[2,7],[5]] => {{1,3,4,6},{2,7},{5}} => {{1},{2,3,4,7},{5,6}}
[[1,2,4,6],[3,7],[5]] => {{1,2,4,6},{3,7},{5}} => {{1,2},{3,4,7},{5,6}}
[[1,2,3,6],[4,7],[5]] => {{1,2,3,6},{4,7},{5}} => {{1,2,3},{4,7},{5,6}}
[[1,3,4,5],[2,7],[6]] => {{1,3,4,5},{2,7},{6}} => {{1},{2,3,4,5,7},{6}}
[[1,2,4,5],[3,7],[6]] => {{1,2,4,5},{3,7},{6}} => {{1,2},{3,4,5,7},{6}}
[[1,2,3,5],[4,7],[6]] => {{1,2,3,5},{4,7},{6}} => {{1,2,3},{4,5,7},{6}}
[[1,2,3,4],[5,7],[6]] => {{1,2,3,4},{5,7},{6}} => {{1,2,3,4},{5,7},{6}}
[[1,3,5,6],[2,4],[7]] => {{1,3,5,6},{2,4},{7}} => {{1,4,5,6},{2,3},{7}}
[[1,2,5,6],[3,4],[7]] => {{1,2,5,6},{3,4},{7}} => {{1,2,4,5,6},{3},{7}}
[[1,3,4,6],[2,5],[7]] => {{1,3,4,6},{2,5},{7}} => {{1,5,6},{2,3,4},{7}}
[[1,2,4,6],[3,5],[7]] => {{1,2,4,6},{3,5},{7}} => {{1,2,5,6},{3,4},{7}}
[[1,2,3,6],[4,5],[7]] => {{1,2,3,6},{4,5},{7}} => {{1,2,3,5,6},{4},{7}}
[[1,3,4,5],[2,6],[7]] => {{1,3,4,5},{2,6},{7}} => {{1,6},{2,3,4,5},{7}}
[[1,2,4,5],[3,6],[7]] => {{1,2,4,5},{3,6},{7}} => {{1,2,6},{3,4,5},{7}}
[[1,2,3,5],[4,6],[7]] => {{1,2,3,5},{4,6},{7}} => {{1,2,3,6},{4,5},{7}}
[[1,2,3,4],[5,6],[7]] => {{1,2,3,4},{5,6},{7}} => {{1,2,3,4,6},{5},{7}}
[[1,5,6,7],[2],[3],[4]] => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}}
[[1,4,6,7],[2],[3],[5]] => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}}
[[1,3,6,7],[2],[4],[5]] => {{1,3,6,7},{2},{4},{5}} => {{1},{2,3},{4},{5,6,7}}
[[1,2,6,7],[3],[4],[5]] => {{1,2,6,7},{3},{4},{5}} => {{1,2},{3},{4},{5,6,7}}
[[1,4,5,7],[2],[3],[6]] => {{1,4,5,7},{2},{3},{6}} => {{1},{2},{3,4,5},{6,7}}
[[1,3,5,7],[2],[4],[6]] => {{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}}
[[1,2,5,7],[3],[4],[6]] => {{1,2,5,7},{3},{4},{6}} => {{1,2},{3},{4,5},{6,7}}
[[1,3,4,7],[2],[5],[6]] => {{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}}
[[1,2,4,7],[3],[5],[6]] => {{1,2,4,7},{3},{5},{6}} => {{1,2},{3,4},{5},{6,7}}
[[1,2,3,7],[4],[5],[6]] => {{1,2,3,7},{4},{5},{6}} => {{1,2,3},{4},{5},{6,7}}
[[1,4,5,6],[2],[3],[7]] => {{1,4,5,6},{2},{3},{7}} => {{1},{2},{3,4,5,6},{7}}
[[1,3,5,6],[2],[4],[7]] => {{1,3,5,6},{2},{4},{7}} => {{1},{2,3},{4,5,6},{7}}
[[1,2,5,6],[3],[4],[7]] => {{1,2,5,6},{3},{4},{7}} => {{1,2},{3},{4,5,6},{7}}
[[1,3,4,6],[2],[5],[7]] => {{1,3,4,6},{2},{5},{7}} => {{1},{2,3,4},{5,6},{7}}
[[1,2,4,6],[3],[5],[7]] => {{1,2,4,6},{3},{5},{7}} => {{1,2},{3,4},{5,6},{7}}
[[1,2,3,6],[4],[5],[7]] => {{1,2,3,6},{4},{5},{7}} => {{1,2,3},{4},{5,6},{7}}
[[1,3,4,5],[2],[6],[7]] => {{1,3,4,5},{2},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[[1,2,4,5],[3],[6],[7]] => {{1,2,4,5},{3},{6},{7}} => {{1,2},{3,4,5},{6},{7}}
[[1,2,3,5],[4],[6],[7]] => {{1,2,3,5},{4},{6},{7}} => {{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],[2,5,7],[3]] => {{1,4,6},{2,5,7},{3}} => {{1},{2,5,6},{3,4,7}}
[[1,3,6],[2,5,7],[4]] => {{1,3,6},{2,5,7},{4}} => {{1},{2,3,5,6},{4,7}}
[[1,2,6],[3,5,7],[4]] => {{1,2,6},{3,5,7},{4}} => {{1,2},{3,5,6},{4,7}}
[[1,3,6],[2,4,7],[5]] => {{1,3,6},{2,4,7},{5}} => {{1,4,7},{2,3},{5,6}}
[[1,2,6],[3,4,7],[5]] => {{1,2,6},{3,4,7},{5}} => {{1,2,4,7},{3},{5,6}}
[[1,4,5],[2,6,7],[3]] => {{1,4,5},{2,6,7},{3}} => {{1},{2,6},{3,4,5,7}}
[[1,3,5],[2,6,7],[4]] => {{1,3,5},{2,6,7},{4}} => {{1},{2,3,6},{4,5,7}}
[[1,2,5],[3,6,7],[4]] => {{1,2,5},{3,6,7},{4}} => {{1,2},{3,6},{4,5,7}}
[[1,3,4],[2,6,7],[5]] => {{1,3,4},{2,6,7},{5}} => {{1},{2,3,4,6},{5,7}}
[[1,2,4],[3,6,7],[5]] => {{1,2,4},{3,6,7},{5}} => {{1,2},{3,4,6},{5,7}}
[[1,2,3],[4,6,7],[5]] => {{1,2,3},{4,6,7},{5}} => {{1,2,3},{4,6},{5,7}}
[[1,3,5],[2,4,7],[6]] => {{1,3,5},{2,4,7},{6}} => {{1,4,5,7},{2,3},{6}}
[[1,2,5],[3,4,7],[6]] => {{1,2,5},{3,4,7},{6}} => {{1,2,4,5,7},{3},{6}}
[[1,3,4],[2,5,7],[6]] => {{1,3,4},{2,5,7},{6}} => {{1,5,7},{2,3,4},{6}}
[[1,2,4],[3,5,7],[6]] => {{1,2,4},{3,5,7},{6}} => {{1,2,5,7},{3,4},{6}}
[[1,2,3],[4,5,7],[6]] => {{1,2,3},{4,5,7},{6}} => {{1,2,3,5,7},{4},{6}}
[[1,3,5],[2,4,6],[7]] => {{1,3,5},{2,4,6},{7}} => {{1,4,5},{2,3,6},{7}}
[[1,2,5],[3,4,6],[7]] => {{1,2,5},{3,4,6},{7}} => {{1,2,4,5},{3,6},{7}}
[[1,3,4],[2,5,6],[7]] => {{1,3,4},{2,5,6},{7}} => {{1,5},{2,3,4,6},{7}}
[[1,2,4],[3,5,6],[7]] => {{1,2,4},{3,5,6},{7}} => {{1,2,5},{3,4,6},{7}}
[[1,2,3],[4,5,6],[7]] => {{1,2,3},{4,5,6},{7}} => {{1,2,3,5},{4,6},{7}}
[[1,4,7],[2,5],[3,6]] => {{1,4,7},{2,5},{3,6}} => {{1,6,7},{2,5},{3,4}}
[[1,3,7],[2,5],[4,6]] => {{1,3,7},{2,5},{4,6}} => {{1,6,7},{2,3,5},{4}}
[[1,2,7],[3,5],[4,6]] => {{1,2,7},{3,5},{4,6}} => {{1,2,6,7},{3,5},{4}}
[[1,3,7],[2,4],[5,6]] => {{1,3,7},{2,4},{5,6}} => {{1,4},{2,3,6,7},{5}}
[[1,2,7],[3,4],[5,6]] => {{1,2,7},{3,4},{5,6}} => {{1,2,4},{3,6,7},{5}}
[[1,4,6],[2,5],[3,7]] => {{1,4,6},{2,5},{3,7}} => {{1,7},{2,5,6},{3,4}}
[[1,3,6],[2,5],[4,7]] => {{1,3,6},{2,5},{4,7}} => {{1,7},{2,3,5,6},{4}}
[[1,2,6],[3,5],[4,7]] => {{1,2,6},{3,5},{4,7}} => {{1,2,7},{3,5,6},{4}}
[[1,3,6],[2,4],[5,7]] => {{1,3,6},{2,4},{5,7}} => {{1,4},{2,3,7},{5,6}}
[[1,2,6],[3,4],[5,7]] => {{1,2,6},{3,4},{5,7}} => {{1,2,4},{3,7},{5,6}}
[[1,4,5],[2,6],[3,7]] => {{1,4,5},{2,6},{3,7}} => {{1,7},{2,6},{3,4,5}}
[[1,3,5],[2,6],[4,7]] => {{1,3,5},{2,6},{4,7}} => {{1,7},{2,3,6},{4,5}}
[[1,2,5],[3,6],[4,7]] => {{1,2,5},{3,6},{4,7}} => {{1,2,7},{3,6},{4,5}}
[[1,3,4],[2,6],[5,7]] => {{1,3,4},{2,6},{5,7}} => {{1,7},{2,3,4,6},{5}}
[[1,2,4],[3,6],[5,7]] => {{1,2,4},{3,6},{5,7}} => {{1,2,7},{3,4,6},{5}}
[[1,2,3],[4,6],[5,7]] => {{1,2,3},{4,6},{5,7}} => {{1,2,3,7},{4,6},{5}}
[[1,3,5],[2,4],[6,7]] => {{1,3,5},{2,4},{6,7}} => {{1,4,5},{2,3,7},{6}}
[[1,2,5],[3,4],[6,7]] => {{1,2,5},{3,4},{6,7}} => {{1,2,4,5},{3,7},{6}}
[[1,3,4],[2,5],[6,7]] => {{1,3,4},{2,5},{6,7}} => {{1,5},{2,3,4,7},{6}}
[[1,2,4],[3,5],[6,7]] => {{1,2,4},{3,5},{6,7}} => {{1,2,5},{3,4,7},{6}}
[[1,2,3],[4,5],[6,7]] => {{1,2,3},{4,5},{6,7}} => {{1,2,3,5},{4,7},{6}}
[[1,5,7],[2,6],[3],[4]] => {{1,5,7},{2,6},{3},{4}} => {{1},{2},{3,6,7},{4,5}}
[[1,4,7],[2,6],[3],[5]] => {{1,4,7},{2,6},{3},{5}} => {{1},{2},{3,4,6,7},{5}}
[[1,3,7],[2,6],[4],[5]] => {{1,3,7},{2,6},{4},{5}} => {{1},{2,3},{4,6,7},{5}}
[[1,2,7],[3,6],[4],[5]] => {{1,2,7},{3,6},{4},{5}} => {{1,2},{3},{4,6,7},{5}}
[[1,4,7],[2,5],[3],[6]] => {{1,4,7},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6,7}}
[[1,3,7],[2,5],[4],[6]] => {{1,3,7},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6,7}}
[[1,2,7],[3,5],[4],[6]] => {{1,2,7},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6,7}}
[[1,3,7],[2,4],[5],[6]] => {{1,3,7},{2,4},{5},{6}} => {{1,4},{2,3},{5},{6,7}}
[[1,2,7],[3,4],[5],[6]] => {{1,2,7},{3,4},{5},{6}} => {{1,2,4},{3},{5},{6,7}}
[[1,5,6],[2,7],[3],[4]] => {{1,5,6},{2,7},{3},{4}} => {{1},{2},{3,7},{4,5,6}}
[[1,4,6],[2,7],[3],[5]] => {{1,4,6},{2,7},{3},{5}} => {{1},{2},{3,4,7},{5,6}}
[[1,3,6],[2,7],[4],[5]] => {{1,3,6},{2,7},{4},{5}} => {{1},{2,3},{4,7},{5,6}}
[[1,2,6],[3,7],[4],[5]] => {{1,2,6},{3,7},{4},{5}} => {{1,2},{3},{4,7},{5,6}}
[[1,4,5],[2,7],[3],[6]] => {{1,4,5},{2,7},{3},{6}} => {{1},{2},{3,4,5,7},{6}}
[[1,3,5],[2,7],[4],[6]] => {{1,3,5},{2,7},{4},{6}} => {{1},{2,3},{4,5,7},{6}}
[[1,2,5],[3,7],[4],[6]] => {{1,2,5},{3,7},{4},{6}} => {{1,2},{3},{4,5,7},{6}}
[[1,3,4],[2,7],[5],[6]] => {{1,3,4},{2,7},{5},{6}} => {{1},{2,3,4},{5,7},{6}}
[[1,2,4],[3,7],[5],[6]] => {{1,2,4},{3,7},{5},{6}} => {{1,2},{3,4},{5,7},{6}}
[[1,2,3],[4,7],[5],[6]] => {{1,2,3},{4,7},{5},{6}} => {{1,2,3},{4},{5,7},{6}}
[[1,4,6],[2,5],[3],[7]] => {{1,4,6},{2,5},{3},{7}} => {{1},{2,5,6},{3,4},{7}}
[[1,3,6],[2,5],[4],[7]] => {{1,3,6},{2,5},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[[1,2,6],[3,5],[4],[7]] => {{1,2,6},{3,5},{4},{7}} => {{1,2},{3,5,6},{4},{7}}
[[1,3,6],[2,4],[5],[7]] => {{1,3,6},{2,4},{5},{7}} => {{1,4},{2,3},{5,6},{7}}
[[1,2,6],[3,4],[5],[7]] => {{1,2,6},{3,4},{5},{7}} => {{1,2,4},{3},{5,6},{7}}
[[1,4,5],[2,6],[3],[7]] => {{1,4,5},{2,6},{3},{7}} => {{1},{2,6},{3,4,5},{7}}
[[1,3,5],[2,6],[4],[7]] => {{1,3,5},{2,6},{4},{7}} => {{1},{2,3,6},{4,5},{7}}
[[1,2,5],[3,6],[4],[7]] => {{1,2,5},{3,6},{4},{7}} => {{1,2},{3,6},{4,5},{7}}
[[1,3,4],[2,6],[5],[7]] => {{1,3,4},{2,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[[1,2,4],[3,6],[5],[7]] => {{1,2,4},{3,6},{5},{7}} => {{1,2},{3,4,6},{5},{7}}
[[1,2,3],[4,6],[5],[7]] => {{1,2,3},{4,6},{5},{7}} => {{1,2,3},{4,6},{5},{7}}
[[1,3,5],[2,4],[6],[7]] => {{1,3,5},{2,4},{6},{7}} => {{1,4,5},{2,3},{6},{7}}
[[1,2,5],[3,4],[6],[7]] => {{1,2,5},{3,4},{6},{7}} => {{1,2,4,5},{3},{6},{7}}
[[1,3,4],[2,5],[6],[7]] => {{1,3,4},{2,5},{6},{7}} => {{1,5},{2,3,4},{6},{7}}
[[1,2,4],[3,5],[6],[7]] => {{1,2,4},{3,5},{6},{7}} => {{1,2,5},{3,4},{6},{7}}
[[1,2,3],[4,5],[6],[7]] => {{1,2,3},{4,5},{6},{7}} => {{1,2,3,5},{4},{6},{7}}
[[1,6,7],[2],[3],[4],[5]] => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7}}
[[1,5,7],[2],[3],[4],[6]] => {{1,5,7},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6,7}}
[[1,4,7],[2],[3],[5],[6]] => {{1,4,7},{2},{3},{5},{6}} => {{1},{2},{3,4},{5},{6,7}}
[[1,3,7],[2],[4],[5],[6]] => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6,7}}
[[1,2,7],[3],[4],[5],[6]] => {{1,2,7},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6,7}}
[[1,5,6],[2],[3],[4],[7]] => {{1,5,6},{2},{3},{4},{7}} => {{1},{2},{3},{4,5,6},{7}}
[[1,4,6],[2],[3],[5],[7]] => {{1,4,6},{2},{3},{5},{7}} => {{1},{2},{3,4},{5,6},{7}}
[[1,3,6],[2],[4],[5],[7]] => {{1,3,6},{2},{4},{5},{7}} => {{1},{2,3},{4},{5,6},{7}}
[[1,2,6],[3],[4],[5],[7]] => {{1,2,6},{3},{4},{5},{7}} => {{1,2},{3},{4},{5,6},{7}}
[[1,4,5],[2],[3],[6],[7]] => {{1,4,5},{2},{3},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[[1,3,5],[2],[4],[6],[7]] => {{1,3,5},{2},{4},{6},{7}} => {{1},{2,3},{4,5},{6},{7}}
[[1,2,5],[3],[4],[6],[7]] => {{1,2,5},{3},{4},{6},{7}} => {{1,2},{3},{4,5},{6},{7}}
[[1,3,4],[2],[5],[6],[7]] => {{1,3,4},{2},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[[1,2,4],[3],[5],[6],[7]] => {{1,2,4},{3},{5},{6},{7}} => {{1,2},{3,4},{5},{6},{7}}
[[1,2,3],[4],[5],[6],[7]] => {{1,2,3},{4},{5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}}
[[1,5],[2,6],[3,7],[4]] => {{1,5},{2,6},{3,7},{4}} => {{1},{2,7},{3,6},{4,5}}
[[1,4],[2,6],[3,7],[5]] => {{1,4},{2,6},{3,7},{5}} => {{1},{2,7},{3,4,6},{5}}
[[1,3],[2,6],[4,7],[5]] => {{1,3},{2,6},{4,7},{5}} => {{1},{2,3,7},{4,6},{5}}
[[1,2],[3,6],[4,7],[5]] => {{1,2},{3,6},{4,7},{5}} => {{1,2},{3,7},{4,6},{5}}
[[1,4],[2,5],[3,7],[6]] => {{1,4},{2,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}}
[[1,3],[2,5],[4,7],[6]] => {{1,3},{2,5},{4,7},{6}} => {{1},{2,3,5},{4,7},{6}}
[[1,2],[3,5],[4,7],[6]] => {{1,2},{3,5},{4,7},{6}} => {{1,2},{3,5},{4,7},{6}}
[[1,3],[2,4],[5,7],[6]] => {{1,3},{2,4},{5,7},{6}} => {{1,4,7},{2,3},{5},{6}}
[[1,2],[3,4],[5,7],[6]] => {{1,2},{3,4},{5,7},{6}} => {{1,2,4,7},{3},{5},{6}}
[[1,4],[2,5],[3,6],[7]] => {{1,4},{2,5},{3,6},{7}} => {{1,6},{2,5},{3,4},{7}}
[[1,3],[2,5],[4,6],[7]] => {{1,3},{2,5},{4,6},{7}} => {{1,6},{2,3,5},{4},{7}}
[[1,2],[3,5],[4,6],[7]] => {{1,2},{3,5},{4,6},{7}} => {{1,2,6},{3,5},{4},{7}}
[[1,3],[2,4],[5,6],[7]] => {{1,3},{2,4},{5,6},{7}} => {{1,4},{2,3,6},{5},{7}}
[[1,2],[3,4],[5,6],[7]] => {{1,2},{3,4},{5,6},{7}} => {{1,2,4},{3,6},{5},{7}}
[[1,6],[2,7],[3],[4],[5]] => {{1,6},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7},{5,6}}
[[1,5],[2,7],[3],[4],[6]] => {{1,5},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7},{6}}
[[1,4],[2,7],[3],[5],[6]] => {{1,4},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7},{6}}
[[1,3],[2,7],[4],[5],[6]] => {{1,3},{2,7},{4},{5},{6}} => {{1},{2,3},{4},{5,7},{6}}
[[1,2],[3,7],[4],[5],[6]] => {{1,2},{3,7},{4},{5},{6}} => {{1,2},{3},{4},{5,7},{6}}
[[1,5],[2,6],[3],[4],[7]] => {{1,5},{2,6},{3},{4},{7}} => {{1},{2},{3,6},{4,5},{7}}
[[1,4],[2,6],[3],[5],[7]] => {{1,4},{2,6},{3},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[[1,3],[2,6],[4],[5],[7]] => {{1,3},{2,6},{4},{5},{7}} => {{1},{2,3},{4,6},{5},{7}}
[[1,2],[3,6],[4],[5],[7]] => {{1,2},{3,6},{4},{5},{7}} => {{1,2},{3},{4,6},{5},{7}}
[[1,4],[2,5],[3],[6],[7]] => {{1,4},{2,5},{3},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[[1,3],[2,5],[4],[6],[7]] => {{1,3},{2,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[[1,2],[3,5],[4],[6],[7]] => {{1,2},{3,5},{4},{6},{7}} => {{1,2},{3,5},{4},{6},{7}}
[[1,3],[2,4],[5],[6],[7]] => {{1,3},{2,4},{5},{6},{7}} => {{1,4},{2,3},{5},{6},{7}}
[[1,2],[3,4],[5],[6],[7]] => {{1,2},{3,4},{5},{6},{7}} => {{1,2,4},{3},{5},{6},{7}}
[[1,7],[2],[3],[4],[5],[6]] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7}}
[[1,6],[2],[3],[4],[5],[7]] => {{1,6},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[[1,5],[2],[3],[4],[6],[7]] => {{1,5},{2},{3},{4},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[[1,4],[2],[3],[5],[6],[7]] => {{1,4},{2},{3},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[[1,3],[2],[4],[5],[6],[7]] => {{1,3},{2},{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}} => {{1,2},{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}}
[[1,2,3,4,5,6,7,8]] => {{1,2,3,4,5,6,7,8}} => {{1,2,3,4,5,6,7,8}}
[[1,3,4,5,6,7,8],[2]] => {{1,3,4,5,6,7,8},{2}} => {{1},{2,3,4,5,6,7,8}}
[[1,2,4,5,6,7,8],[3]] => {{1,2,4,5,6,7,8},{3}} => {{1,2},{3,4,5,6,7,8}}
[[1,2,3,5,6,7,8],[4]] => {{1,2,3,5,6,7,8},{4}} => {{1,2,3},{4,5,6,7,8}}
[[1,2,3,4,6,7,8],[5]] => {{1,2,3,4,6,7,8},{5}} => {{1,2,3,4},{5,6,7,8}}
[[1,2,3,4,5,7,8],[6]] => {{1,2,3,4,5,7,8},{6}} => {{1,2,3,4,5},{6,7,8}}
[[1,2,3,4,5,6,8],[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]] => {{1,3,5,6,7,8},{2,4}} => {{1,4,5,6,7,8},{2,3}}
[[1,2,5,6,7,8],[3,4]] => {{1,2,5,6,7,8},{3,4}} => {{1,2,4,5,6,7,8},{3}}
[[1,3,4,6,7,8],[2,5]] => {{1,3,4,6,7,8},{2,5}} => {{1,5,6,7,8},{2,3,4}}
[[1,2,4,6,7,8],[3,5]] => {{1,2,4,6,7,8},{3,5}} => {{1,2,5,6,7,8},{3,4}}
[[1,2,3,6,7,8],[4,5]] => {{1,2,3,6,7,8},{4,5}} => {{1,2,3,5,6,7,8},{4}}
[[1,3,4,5,7,8],[2,6]] => {{1,3,4,5,7,8},{2,6}} => {{1,6,7,8},{2,3,4,5}}
[[1,2,4,5,7,8],[3,6]] => {{1,2,4,5,7,8},{3,6}} => {{1,2,6,7,8},{3,4,5}}
[[1,2,3,5,7,8],[4,6]] => {{1,2,3,5,7,8},{4,6}} => {{1,2,3,6,7,8},{4,5}}
[[1,2,3,4,7,8],[5,6]] => {{1,2,3,4,7,8},{5,6}} => {{1,2,3,4,6,7,8},{5}}
[[1,3,4,5,6,8],[2,7]] => {{1,3,4,5,6,8},{2,7}} => {{1,7,8},{2,3,4,5,6}}
[[1,2,4,5,6,8],[3,7]] => {{1,2,4,5,6,8},{3,7}} => {{1,2,7,8},{3,4,5,6}}
[[1,2,3,5,6,8],[4,7]] => {{1,2,3,5,6,8},{4,7}} => {{1,2,3,7,8},{4,5,6}}
[[1,2,3,4,6,8],[5,7]] => {{1,2,3,4,6,8},{5,7}} => {{1,2,3,4,7,8},{5,6}}
[[1,2,3,4,5,8],[6,7]] => {{1,2,3,4,5,8},{6,7}} => {{1,2,3,4,5,7,8},{6}}
[[1,3,4,5,6,7],[2,8]] => {{1,3,4,5,6,7},{2,8}} => {{1,8},{2,3,4,5,6,7}}
[[1,2,4,5,6,7],[3,8]] => {{1,2,4,5,6,7},{3,8}} => {{1,2,8},{3,4,5,6,7}}
[[1,2,3,5,6,7],[4,8]] => {{1,2,3,5,6,7},{4,8}} => {{1,2,3,8},{4,5,6,7}}
[[1,2,3,4,6,7],[5,8]] => {{1,2,3,4,6,7},{5,8}} => {{1,2,3,4,8},{5,6,7}}
[[1,2,3,4,5,7],[6,8]] => {{1,2,3,4,5,7},{6,8}} => {{1,2,3,4,5,8},{6,7}}
[[1,2,3,4,5,6],[7,8]] => {{1,2,3,4,5,6},{7,8}} => {{1,2,3,4,5,6,8},{7}}
[[1,4,5,6,7,8],[2],[3]] => {{1,4,5,6,7,8},{2},{3}} => {{1},{2},{3,4,5,6,7,8}}
[[1,3,5,6,7,8],[2],[4]] => {{1,3,5,6,7,8},{2},{4}} => {{1},{2,3},{4,5,6,7,8}}
[[1,2,5,6,7,8],[3],[4]] => {{1,2,5,6,7,8},{3},{4}} => {{1,2},{3},{4,5,6,7,8}}
[[1,3,4,6,7,8],[2],[5]] => {{1,3,4,6,7,8},{2},{5}} => {{1},{2,3,4},{5,6,7,8}}
[[1,2,4,6,7,8],[3],[5]] => {{1,2,4,6,7,8},{3},{5}} => {{1,2},{3,4},{5,6,7,8}}
[[1,2,3,6,7,8],[4],[5]] => {{1,2,3,6,7,8},{4},{5}} => {{1,2,3},{4},{5,6,7,8}}
[[1,3,4,5,7,8],[2],[6]] => {{1,3,4,5,7,8},{2},{6}} => {{1},{2,3,4,5},{6,7,8}}
[[1,2,4,5,7,8],[3],[6]] => {{1,2,4,5,7,8},{3},{6}} => {{1,2},{3,4,5},{6,7,8}}
[[1,2,3,5,7,8],[4],[6]] => {{1,2,3,5,7,8},{4},{6}} => {{1,2,3},{4,5},{6,7,8}}
[[1,2,3,4,7,8],[5],[6]] => {{1,2,3,4,7,8},{5},{6}} => {{1,2,3,4},{5},{6,7,8}}
[[1,3,4,5,6,8],[2],[7]] => {{1,3,4,5,6,8},{2},{7}} => {{1},{2,3,4,5,6},{7,8}}
[[1,2,4,5,6,8],[3],[7]] => {{1,2,4,5,6,8},{3},{7}} => {{1,2},{3,4,5,6},{7,8}}
[[1,2,3,5,6,8],[4],[7]] => {{1,2,3,5,6,8},{4},{7}} => {{1,2,3},{4,5,6},{7,8}}
[[1,2,3,4,6,8],[5],[7]] => {{1,2,3,4,6,8},{5},{7}} => {{1,2,3,4},{5,6},{7,8}}
[[1,2,3,4,5,8],[6],[7]] => {{1,2,3,4,5,8},{6},{7}} => {{1,2,3,4,5},{6},{7,8}}
[[1,3,4,5,6,7],[2],[8]] => {{1,3,4,5,6,7},{2},{8}} => {{1},{2,3,4,5,6,7},{8}}
[[1,2,4,5,6,7],[3],[8]] => {{1,2,4,5,6,7},{3},{8}} => {{1,2},{3,4,5,6,7},{8}}
[[1,2,3,5,6,7],[4],[8]] => {{1,2,3,5,6,7},{4},{8}} => {{1,2,3},{4,5,6,7},{8}}
[[1,2,3,4,6,7],[5],[8]] => {{1,2,3,4,6,7},{5},{8}} => {{1,2,3,4},{5,6,7},{8}}
[[1,2,3,4,5,7],[6],[8]] => {{1,2,3,4,5,7},{6},{8}} => {{1,2,3,4,5},{6,7},{8}}
[[1,2,3,4,5,6],[7],[8]] => {{1,2,3,4,5,6},{7},{8}} => {{1,2,3,4,5,6},{7},{8}}
[[1,3,5,7,8],[2,4,6]] => {{1,3,5,7,8},{2,4,6}} => {{1,4,5},{2,3,6,7,8}}
[[1,2,5,7,8],[3,4,6]] => {{1,2,5,7,8},{3,4,6}} => {{1,2,4,5},{3,6,7,8}}
[[1,3,4,7,8],[2,5,6]] => {{1,3,4,7,8},{2,5,6}} => {{1,5},{2,3,4,6,7,8}}
[[1,2,4,7,8],[3,5,6]] => {{1,2,4,7,8},{3,5,6}} => {{1,2,5},{3,4,6,7,8}}
[[1,2,3,7,8],[4,5,6]] => {{1,2,3,7,8},{4,5,6}} => {{1,2,3,5},{4,6,7,8}}
[[1,3,5,6,8],[2,4,7]] => {{1,3,5,6,8},{2,4,7}} => {{1,4,5,6},{2,3,7,8}}
[[1,2,5,6,8],[3,4,7]] => {{1,2,5,6,8},{3,4,7}} => {{1,2,4,5,6},{3,7,8}}
[[1,3,4,6,8],[2,5,7]] => {{1,3,4,6,8},{2,5,7}} => {{1,5,6},{2,3,4,7,8}}
[[1,2,4,6,8],[3,5,7]] => {{1,2,4,6,8},{3,5,7}} => {{1,2,5,6},{3,4,7,8}}
[[1,2,3,6,8],[4,5,7]] => {{1,2,3,6,8},{4,5,7}} => {{1,2,3,5,6},{4,7,8}}
[[1,3,4,5,8],[2,6,7]] => {{1,3,4,5,8},{2,6,7}} => {{1,6},{2,3,4,5,7,8}}
[[1,2,4,5,8],[3,6,7]] => {{1,2,4,5,8},{3,6,7}} => {{1,2,6},{3,4,5,7,8}}
[[1,2,3,5,8],[4,6,7]] => {{1,2,3,5,8},{4,6,7}} => {{1,2,3,6},{4,5,7,8}}
[[1,2,3,4,8],[5,6,7]] => {{1,2,3,4,8},{5,6,7}} => {{1,2,3,4,6},{5,7,8}}
[[1,3,5,6,7],[2,4,8]] => {{1,3,5,6,7},{2,4,8}} => {{1,4,5,6,7},{2,3,8}}
[[1,2,5,6,7],[3,4,8]] => {{1,2,5,6,7},{3,4,8}} => {{1,2,4,5,6,7},{3,8}}
[[1,3,4,6,7],[2,5,8]] => {{1,3,4,6,7},{2,5,8}} => {{1,5,6,7},{2,3,4,8}}
[[1,2,4,6,7],[3,5,8]] => {{1,2,4,6,7},{3,5,8}} => {{1,2,5,6,7},{3,4,8}}
[[1,2,3,6,7],[4,5,8]] => {{1,2,3,6,7},{4,5,8}} => {{1,2,3,5,6,7},{4,8}}
[[1,3,4,5,7],[2,6,8]] => {{1,3,4,5,7},{2,6,8}} => {{1,6,7},{2,3,4,5,8}}
[[1,2,4,5,7],[3,6,8]] => {{1,2,4,5,7},{3,6,8}} => {{1,2,6,7},{3,4,5,8}}
[[1,2,3,5,7],[4,6,8]] => {{1,2,3,5,7},{4,6,8}} => {{1,2,3,6,7},{4,5,8}}
[[1,2,3,4,7],[5,6,8]] => {{1,2,3,4,7},{5,6,8}} => {{1,2,3,4,6,7},{5,8}}
[[1,2,4,5,6],[3,7,8]] => {{1,2,4,5,6},{3,7,8}} => {{1,2,7},{3,4,5,6,8}}
[[1,2,3,5,6],[4,7,8]] => {{1,2,3,5,6},{4,7,8}} => {{1,2,3,7},{4,5,6,8}}
[[1,2,3,4,6],[5,7,8]] => {{1,2,3,4,6},{5,7,8}} => {{1,2,3,4,7},{5,6,8}}
[[1,2,3,4,5],[6,7,8]] => {{1,2,3,4,5},{6,7,8}} => {{1,2,3,4,5,7},{6,8}}
[[1,4,6,7,8],[2,5],[3]] => {{1,4,6,7,8},{2,5},{3}} => {{1},{2,5,6,7,8},{3,4}}
[[1,3,6,7,8],[2,5],[4]] => {{1,3,6,7,8},{2,5},{4}} => {{1},{2,3,5,6,7,8},{4}}
[[1,2,6,7,8],[3,5],[4]] => {{1,2,6,7,8},{3,5},{4}} => {{1,2},{3,5,6,7,8},{4}}
[[1,3,6,7,8],[2,4],[5]] => {{1,3,6,7,8},{2,4},{5}} => {{1,4},{2,3},{5,6,7,8}}
[[1,2,6,7,8],[3,4],[5]] => {{1,2,6,7,8},{3,4},{5}} => {{1,2,4},{3},{5,6,7,8}}
[[1,2,5,7,8],[3,6],[4]] => {{1,2,5,7,8},{3,6},{4}} => {{1,2},{3,6,7,8},{4,5}}
[[1,3,4,7,8],[2,6],[5]] => {{1,3,4,7,8},{2,6},{5}} => {{1},{2,3,4,6,7,8},{5}}
[[1,2,4,7,8],[3,6],[5]] => {{1,2,4,7,8},{3,6},{5}} => {{1,2},{3,4,6,7,8},{5}}
[[1,2,3,7,8],[4,6],[5]] => {{1,2,3,7,8},{4,6},{5}} => {{1,2,3},{4,6,7,8},{5}}
[[1,2,5,7,8],[3,4],[6]] => {{1,2,5,7,8},{3,4},{6}} => {{1,2,4,5},{3},{6,7,8}}
[[1,3,4,7,8],[2,5],[6]] => {{1,3,4,7,8},{2,5},{6}} => {{1,5},{2,3,4},{6,7,8}}
[[1,2,3,7,8],[4,5],[6]] => {{1,2,3,7,8},{4,5},{6}} => {{1,2,3,5},{4},{6,7,8}}
[[1,4,5,6,8],[2,7],[3]] => {{1,4,5,6,8},{2,7},{3}} => {{1},{2,7,8},{3,4,5,6}}
[[1,3,5,6,8],[2,7],[4]] => {{1,3,5,6,8},{2,7},{4}} => {{1},{2,3,7,8},{4,5,6}}
[[1,2,5,6,8],[3,7],[4]] => {{1,2,5,6,8},{3,7},{4}} => {{1,2},{3,7,8},{4,5,6}}
[[1,3,4,6,8],[2,7],[5]] => {{1,3,4,6,8},{2,7},{5}} => {{1},{2,3,4,7,8},{5,6}}
[[1,2,4,6,8],[3,7],[5]] => {{1,2,4,6,8},{3,7},{5}} => {{1,2},{3,4,7,8},{5,6}}
[[1,2,3,6,8],[4,7],[5]] => {{1,2,3,6,8},{4,7},{5}} => {{1,2,3},{4,7,8},{5,6}}
[[1,3,4,5,8],[2,7],[6]] => {{1,3,4,5,8},{2,7},{6}} => {{1},{2,3,4,5,7,8},{6}}
[[1,2,3,4,8],[5,7],[6]] => {{1,2,3,4,8},{5,7},{6}} => {{1,2,3,4},{5,7,8},{6}}
[[1,3,5,6,8],[2,4],[7]] => {{1,3,5,6,8},{2,4},{7}} => {{1,4,5,6},{2,3},{7,8}}
[[1,2,5,6,8],[3,4],[7]] => {{1,2,5,6,8},{3,4},{7}} => {{1,2,4,5,6},{3},{7,8}}
[[1,3,4,6,8],[2,5],[7]] => {{1,3,4,6,8},{2,5},{7}} => {{1,5,6},{2,3,4},{7,8}}
[[1,2,4,6,8],[3,5],[7]] => {{1,2,4,6,8},{3,5},{7}} => {{1,2,5,6},{3,4},{7,8}}
[[1,2,3,6,8],[4,5],[7]] => {{1,2,3,6,8},{4,5},{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}} => {{1,2,6},{3,4,5},{7,8}}
[[1,2,3,4,8],[5,6],[7]] => {{1,2,3,4,8},{5,6},{7}} => {{1,2,3,4,6},{5},{7,8}}
[[1,4,5,6,7],[2,8],[3]] => {{1,4,5,6,7},{2,8},{3}} => {{1},{2,8},{3,4,5,6,7}}
[[1,3,5,6,7],[2,8],[4]] => {{1,3,5,6,7},{2,8},{4}} => {{1},{2,3,8},{4,5,6,7}}
[[1,3,4,6,7],[2,8],[5]] => {{1,3,4,6,7},{2,8},{5}} => {{1},{2,3,4,8},{5,6,7}}
[[1,2,4,6,7],[3,8],[5]] => {{1,2,4,6,7},{3,8},{5}} => {{1,2},{3,4,8},{5,6,7}}
[[1,3,4,5,7],[2,8],[6]] => {{1,3,4,5,7},{2,8},{6}} => {{1},{2,3,4,5,8},{6,7}}
[[1,2,4,5,7],[3,8],[6]] => {{1,2,4,5,7},{3,8},{6}} => {{1,2},{3,4,5,8},{6,7}}
[[1,2,3,5,7],[4,8],[6]] => {{1,2,3,5,7},{4,8},{6}} => {{1,2,3},{4,5,8},{6,7}}
[[1,3,4,5,6],[2,8],[7]] => {{1,3,4,5,6},{2,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[[1,2,4,5,6],[3,8],[7]] => {{1,2,4,5,6},{3,8},{7}} => {{1,2},{3,4,5,6,8},{7}}
[[1,2,3,5,6],[4,8],[7]] => {{1,2,3,5,6},{4,8},{7}} => {{1,2,3},{4,5,6,8},{7}}
[[1,2,3,4,6],[5,8],[7]] => {{1,2,3,4,6},{5,8},{7}} => {{1,2,3,4},{5,6,8},{7}}
[[1,2,3,4,5],[6,8],[7]] => {{1,2,3,4,5},{6,8},{7}} => {{1,2,3,4,5},{6,8},{7}}
[[1,3,5,6,7],[2,4],[8]] => {{1,3,5,6,7},{2,4},{8}} => {{1,4,5,6,7},{2,3},{8}}
[[1,3,4,6,7],[2,5],[8]] => {{1,3,4,6,7},{2,5},{8}} => {{1,5,6,7},{2,3,4},{8}}
[[1,2,4,6,7],[3,5],[8]] => {{1,2,4,6,7},{3,5},{8}} => {{1,2,5,6,7},{3,4},{8}}
[[1,2,3,6,7],[4,5],[8]] => {{1,2,3,6,7},{4,5},{8}} => {{1,2,3,5,6,7},{4},{8}}
[[1,3,4,5,7],[2,6],[8]] => {{1,3,4,5,7},{2,6},{8}} => {{1,6,7},{2,3,4,5},{8}}
[[1,2,4,5,7],[3,6],[8]] => {{1,2,4,5,7},{3,6},{8}} => {{1,2,6,7},{3,4,5},{8}}
[[1,2,3,5,7],[4,6],[8]] => {{1,2,3,5,7},{4,6},{8}} => {{1,2,3,6,7},{4,5},{8}}
[[1,2,3,4,7],[5,6],[8]] => {{1,2,3,4,7},{5,6},{8}} => {{1,2,3,4,6,7},{5},{8}}
[[1,2,3,5,6],[4,7],[8]] => {{1,2,3,5,6},{4,7},{8}} => {{1,2,3,7},{4,5,6},{8}}
[[1,2,3,4,6],[5,7],[8]] => {{1,2,3,4,6},{5,7},{8}} => {{1,2,3,4,7},{5,6},{8}}
[[1,2,3,4,5],[6,7],[8]] => {{1,2,3,4,5},{6,7},{8}} => {{1,2,3,4,5,7},{6},{8}}
[[1,5,6,7,8],[2],[3],[4]] => {{1,5,6,7,8},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7,8}}
[[1,4,6,7,8],[2],[3],[5]] => {{1,4,6,7,8},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7,8}}
[[1,3,6,7,8],[2],[4],[5]] => {{1,3,6,7,8},{2},{4},{5}} => {{1},{2,3},{4},{5,6,7,8}}
[[1,2,6,7,8],[3],[4],[5]] => {{1,2,6,7,8},{3},{4},{5}} => {{1,2},{3},{4},{5,6,7,8}}
[[1,4,5,7,8],[2],[3],[6]] => {{1,4,5,7,8},{2},{3},{6}} => {{1},{2},{3,4,5},{6,7,8}}
[[1,3,5,7,8],[2],[4],[6]] => {{1,3,5,7,8},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7,8}}
[[1,2,5,7,8],[3],[4],[6]] => {{1,2,5,7,8},{3},{4},{6}} => {{1,2},{3},{4,5},{6,7,8}}
[[1,3,4,7,8],[2],[5],[6]] => {{1,3,4,7,8},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7,8}}
[[1,2,4,7,8],[3],[5],[6]] => {{1,2,4,7,8},{3},{5},{6}} => {{1,2},{3,4},{5},{6,7,8}}
[[1,2,3,7,8],[4],[5],[6]] => {{1,2,3,7,8},{4},{5},{6}} => {{1,2,3},{4},{5},{6,7,8}}
[[1,4,5,6,8],[2],[3],[7]] => {{1,4,5,6,8},{2},{3},{7}} => {{1},{2},{3,4,5,6},{7,8}}
[[1,3,5,6,8],[2],[4],[7]] => {{1,3,5,6,8},{2},{4},{7}} => {{1},{2,3},{4,5,6},{7,8}}
[[1,2,5,6,8],[3],[4],[7]] => {{1,2,5,6,8},{3},{4},{7}} => {{1,2},{3},{4,5,6},{7,8}}
[[1,3,4,6,8],[2],[5],[7]] => {{1,3,4,6,8},{2},{5},{7}} => {{1},{2,3,4},{5,6},{7,8}}
[[1,2,4,6,8],[3],[5],[7]] => {{1,2,4,6,8},{3},{5},{7}} => {{1,2},{3,4},{5,6},{7,8}}
[[1,2,3,6,8],[4],[5],[7]] => {{1,2,3,6,8},{4},{5},{7}} => {{1,2,3},{4},{5,6},{7,8}}
[[1,3,4,5,8],[2],[6],[7]] => {{1,3,4,5,8},{2},{6},{7}} => {{1},{2,3,4,5},{6},{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}}
[[1,2,3,5,8],[4],[6],[7]] => {{1,2,3,5,8},{4},{6},{7}} => {{1,2,3},{4,5},{6},{7,8}}
[[1,2,3,4,8],[5],[6],[7]] => {{1,2,3,4,8},{5},{6},{7}} => {{1,2,3,4},{5},{6},{7,8}}
[[1,4,5,6,7],[2],[3],[8]] => {{1,4,5,6,7},{2},{3},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[[1,3,5,6,7],[2],[4],[8]] => {{1,3,5,6,7},{2},{4},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[[1,2,5,6,7],[3],[4],[8]] => {{1,2,5,6,7},{3},{4},{8}} => {{1,2},{3},{4,5,6,7},{8}}
[[1,3,4,6,7],[2],[5],[8]] => {{1,3,4,6,7},{2},{5},{8}} => {{1},{2,3,4},{5,6,7},{8}}
[[1,2,3,6,7],[4],[5],[8]] => {{1,2,3,6,7},{4},{5},{8}} => {{1,2,3},{4},{5,6,7},{8}}
[[1,3,4,5,7],[2],[6],[8]] => {{1,3,4,5,7},{2},{6},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[[1,2,4,5,7],[3],[6],[8]] => {{1,2,4,5,7},{3},{6},{8}} => {{1,2},{3,4,5},{6,7},{8}}
[[1,2,3,5,7],[4],[6],[8]] => {{1,2,3,5,7},{4},{6},{8}} => {{1,2,3},{4,5},{6,7},{8}}
[[1,2,3,4,7],[5],[6],[8]] => {{1,2,3,4,7},{5},{6},{8}} => {{1,2,3,4},{5},{6,7},{8}}
[[1,3,4,5,6],[2],[7],[8]] => {{1,3,4,5,6},{2},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[[1,2,3,5,6],[4],[7],[8]] => {{1,2,3,5,6},{4},{7},{8}} => {{1,2,3},{4,5,6},{7},{8}}
[[1,2,3,4,6],[5],[7],[8]] => {{1,2,3,4,6},{5},{7},{8}} => {{1,2,3,4},{5,6},{7},{8}}
[[1,2,3,4,5],[6],[7],[8]] => {{1,2,3,4,5},{6},{7},{8}} => {{1,2,3,4,5},{6},{7},{8}}
[[1,3,5,7],[2,4,6,8]] => {{1,3,5,7},{2,4,6,8}} => {{1,4,5,8},{2,3,6,7}}
[[1,2,5,7],[3,4,6,8]] => {{1,2,5,7},{3,4,6,8}} => {{1,2,4,5,8},{3,6,7}}
[[1,3,4,7],[2,5,6,8]] => {{1,3,4,7},{2,5,6,8}} => {{1,5,8},{2,3,4,6,7}}
[[1,2,4,7],[3,5,6,8]] => {{1,2,4,7},{3,5,6,8}} => {{1,2,5,8},{3,4,6,7}}
[[1,2,3,7],[4,5,6,8]] => {{1,2,3,7},{4,5,6,8}} => {{1,2,3,5,8},{4,6,7}}
[[1,3,5,6],[2,4,7,8]] => {{1,3,5,6},{2,4,7,8}} => {{1,4,5,6,8},{2,3,7}}
[[1,2,5,6],[3,4,7,8]] => {{1,2,5,6},{3,4,7,8}} => {{1,2,4,5,6,8},{3,7}}
[[1,3,4,6],[2,5,7,8]] => {{1,3,4,6},{2,5,7,8}} => {{1,5,6,8},{2,3,4,7}}
[[1,2,4,6],[3,5,7,8]] => {{1,2,4,6},{3,5,7,8}} => {{1,2,5,6,8},{3,4,7}}
[[1,2,3,6],[4,5,7,8]] => {{1,2,3,6},{4,5,7,8}} => {{1,2,3,5,6,8},{4,7}}
[[1,3,4,5],[2,6,7,8]] => {{1,3,4,5},{2,6,7,8}} => {{1,6,8},{2,3,4,5,7}}
[[1,2,4,5],[3,6,7,8]] => {{1,2,4,5},{3,6,7,8}} => {{1,2,6,8},{3,4,5,7}}
[[1,2,3,5],[4,6,7,8]] => {{1,2,3,5},{4,6,7,8}} => {{1,2,3,6,8},{4,5,7}}
[[1,2,3,4],[5,6,7,8]] => {{1,2,3,4},{5,6,7,8}} => {{1,2,3,4,6,8},{5,7}}
[[1,4,6,8],[2,5,7],[3]] => {{1,4,6,8},{2,5,7},{3}} => {{1},{2,5,6},{3,4,7,8}}
[[1,3,6,8],[2,5,7],[4]] => {{1,3,6,8},{2,5,7},{4}} => {{1},{2,3,5,6},{4,7,8}}
[[1,2,6,8],[3,5,7],[4]] => {{1,2,6,8},{3,5,7},{4}} => {{1,2},{3,5,6},{4,7,8}}
[[1,3,6,8],[2,4,7],[5]] => {{1,3,6,8},{2,4,7},{5}} => {{1,4,7,8},{2,3},{5,6}}
[[1,2,6,8],[3,4,7],[5]] => {{1,2,6,8},{3,4,7},{5}} => {{1,2,4,7,8},{3},{5,6}}
[[1,4,5,8],[2,6,7],[3]] => {{1,4,5,8},{2,6,7},{3}} => {{1},{2,6},{3,4,5,7,8}}
[[1,2,5,8],[3,6,7],[4]] => {{1,2,5,8},{3,6,7},{4}} => {{1,2},{3,6},{4,5,7,8}}
[[1,3,4,8],[2,6,7],[5]] => {{1,3,4,8},{2,6,7},{5}} => {{1},{2,3,4,6},{5,7,8}}
[[1,2,3,8],[4,6,7],[5]] => {{1,2,3,8},{4,6,7},{5}} => {{1,2,3},{4,6},{5,7,8}}
[[1,3,5,8],[2,4,7],[6]] => {{1,3,5,8},{2,4,7},{6}} => {{1,4,5,7,8},{2,3},{6}}
[[1,2,5,8],[3,4,7],[6]] => {{1,2,5,8},{3,4,7},{6}} => {{1,2,4,5,7,8},{3},{6}}
[[1,3,4,8],[2,5,7],[6]] => {{1,3,4,8},{2,5,7},{6}} => {{1,5,7,8},{2,3,4},{6}}
[[1,2,4,8],[3,5,7],[6]] => {{1,2,4,8},{3,5,7},{6}} => {{1,2,5,7,8},{3,4},{6}}
[[1,2,3,8],[4,5,7],[6]] => {{1,2,3,8},{4,5,7},{6}} => {{1,2,3,5,7,8},{4},{6}}
[[1,2,5,8],[3,4,6],[7]] => {{1,2,5,8},{3,4,6},{7}} => {{1,2,4,5},{3,6},{7,8}}
[[1,2,4,8],[3,5,6],[7]] => {{1,2,4,8},{3,5,6},{7}} => {{1,2,5},{3,4,6},{7,8}}
[[1,2,3,8],[4,5,6],[7]] => {{1,2,3,8},{4,5,6},{7}} => {{1,2,3,5},{4,6},{7,8}}
[[1,2,6,7],[3,5,8],[4]] => {{1,2,6,7},{3,5,8},{4}} => {{1,2},{3,5,6,7},{4,8}}
[[1,3,6,7],[2,4,8],[5]] => {{1,3,6,7},{2,4,8},{5}} => {{1,4,8},{2,3},{5,6,7}}
[[1,4,5,7],[2,6,8],[3]] => {{1,4,5,7},{2,6,8},{3}} => {{1},{2,6,7},{3,4,5,8}}
[[1,3,5,7],[2,6,8],[4]] => {{1,3,5,7},{2,6,8},{4}} => {{1},{2,3,6,7},{4,5,8}}
[[1,3,4,7],[2,6,8],[5]] => {{1,3,4,7},{2,6,8},{5}} => {{1},{2,3,4,6,7},{5,8}}
[[1,2,4,7],[3,6,8],[5]] => {{1,2,4,7},{3,6,8},{5}} => {{1,2},{3,4,6,7},{5,8}}
[[1,3,5,7],[2,4,8],[6]] => {{1,3,5,7},{2,4,8},{6}} => {{1,4,5,8},{2,3},{6,7}}
[[1,2,5,7],[3,4,8],[6]] => {{1,2,5,7},{3,4,8},{6}} => {{1,2,4,5,8},{3},{6,7}}
[[1,3,4,7],[2,5,8],[6]] => {{1,3,4,7},{2,5,8},{6}} => {{1,5,8},{2,3,4},{6,7}}
[[1,2,4,7],[3,5,8],[6]] => {{1,2,4,7},{3,5,8},{6}} => {{1,2,5,8},{3,4},{6,7}}
[[1,2,5,6],[3,7,8],[4]] => {{1,2,5,6},{3,7,8},{4}} => {{1,2},{3,7},{4,5,6,8}}
[[1,3,4,5],[2,7,8],[6]] => {{1,3,4,5},{2,7,8},{6}} => {{1},{2,3,4,5,7},{6,8}}
[[1,2,4,5],[3,7,8],[6]] => {{1,2,4,5},{3,7,8},{6}} => {{1,2},{3,4,5,7},{6,8}}
[[1,2,3,4],[5,7,8],[6]] => {{1,2,3,4},{5,7,8},{6}} => {{1,2,3,4},{5,7},{6,8}}
[[1,3,5,6],[2,4,8],[7]] => {{1,3,5,6},{2,4,8},{7}} => {{1,4,5,6,8},{2,3},{7}}
[[1,2,5,6],[3,4,8],[7]] => {{1,2,5,6},{3,4,8},{7}} => {{1,2,4,5,6,8},{3},{7}}
[[1,3,4,6],[2,5,8],[7]] => {{1,3,4,6},{2,5,8},{7}} => {{1,5,6,8},{2,3,4},{7}}
[[1,2,4,6],[3,5,8],[7]] => {{1,2,4,6},{3,5,8},{7}} => {{1,2,5,6,8},{3,4},{7}}
[[1,2,3,6],[4,5,8],[7]] => {{1,2,3,6},{4,5,8},{7}} => {{1,2,3,5,6,8},{4},{7}}
[[1,2,4,5],[3,6,8],[7]] => {{1,2,4,5},{3,6,8},{7}} => {{1,2,6,8},{3,4,5},{7}}
[[1,2,3,4],[5,6,8],[7]] => {{1,2,3,4},{5,6,8},{7}} => {{1,2,3,4,6,8},{5},{7}}
[[1,3,5,7],[2,4,6],[8]] => {{1,3,5,7},{2,4,6},{8}} => {{1,4,5},{2,3,6,7},{8}}
[[1,2,3,7],[4,5,6],[8]] => {{1,2,3,7},{4,5,6},{8}} => {{1,2,3,5},{4,6,7},{8}}
[[1,2,5,6],[3,4,7],[8]] => {{1,2,5,6},{3,4,7},{8}} => {{1,2,4,5,6},{3,7},{8}}
[[1,3,4,6],[2,5,7],[8]] => {{1,3,4,6},{2,5,7},{8}} => {{1,5,6},{2,3,4,7},{8}}
[[1,2,4,6],[3,5,7],[8]] => {{1,2,4,6},{3,5,7},{8}} => {{1,2,5,6},{3,4,7},{8}}
[[1,2,3,5],[4,6,7],[8]] => {{1,2,3,5},{4,6,7},{8}} => {{1,2,3,6},{4,5,7},{8}}
[[1,2,3,4],[5,6,7],[8]] => {{1,2,3,4},{5,6,7},{8}} => {{1,2,3,4,6},{5,7},{8}}
[[1,4,7,8],[2,5],[3,6]] => {{1,4,7,8},{2,5},{3,6}} => {{1,6,7,8},{2,5},{3,4}}
[[1,2,7,8],[3,5],[4,6]] => {{1,2,7,8},{3,5},{4,6}} => {{1,2,6,7,8},{3,5},{4}}
[[1,2,7,8],[3,4],[5,6]] => {{1,2,7,8},{3,4},{5,6}} => {{1,2,4},{3,6,7,8},{5}}
[[1,4,6,8],[2,5],[3,7]] => {{1,4,6,8},{2,5},{3,7}} => {{1,7,8},{2,5,6},{3,4}}
[[1,2,6,8],[3,5],[4,7]] => {{1,2,6,8},{3,5},{4,7}} => {{1,2,7,8},{3,5,6},{4}}
[[1,3,6,8],[2,4],[5,7]] => {{1,3,6,8},{2,4},{5,7}} => {{1,4},{2,3,7,8},{5,6}}
[[1,4,5,8],[2,6],[3,7]] => {{1,4,5,8},{2,6},{3,7}} => {{1,7,8},{2,6},{3,4,5}}
[[1,3,5,8],[2,6],[4,7]] => {{1,3,5,8},{2,6},{4,7}} => {{1,7,8},{2,3,6},{4,5}}
[[1,2,5,8],[3,6],[4,7]] => {{1,2,5,8},{3,6},{4,7}} => {{1,2,7,8},{3,6},{4,5}}
[[1,3,4,8],[2,6],[5,7]] => {{1,3,4,8},{2,6},{5,7}} => {{1,7,8},{2,3,4,6},{5}}
[[1,2,4,8],[3,6],[5,7]] => {{1,2,4,8},{3,6},{5,7}} => {{1,2,7,8},{3,4,6},{5}}
[[1,2,3,8],[4,6],[5,7]] => {{1,2,3,8},{4,6},{5,7}} => {{1,2,3,7,8},{4,6},{5}}
[[1,3,5,8],[2,4],[6,7]] => {{1,3,5,8},{2,4},{6,7}} => {{1,4,5},{2,3,7,8},{6}}
[[1,2,5,8],[3,4],[6,7]] => {{1,2,5,8},{3,4},{6,7}} => {{1,2,4,5},{3,7,8},{6}}
[[1,3,4,8],[2,5],[6,7]] => {{1,3,4,8},{2,5},{6,7}} => {{1,5},{2,3,4,7,8},{6}}
[[1,2,4,8],[3,5],[6,7]] => {{1,2,4,8},{3,5},{6,7}} => {{1,2,5},{3,4,7,8},{6}}
[[1,2,3,8],[4,5],[6,7]] => {{1,2,3,8},{4,5},{6,7}} => {{1,2,3,5},{4,7,8},{6}}
[[1,4,6,7],[2,5],[3,8]] => {{1,4,6,7},{2,5},{3,8}} => {{1,8},{2,5,6,7},{3,4}}
[[1,3,6,7],[2,5],[4,8]] => {{1,3,6,7},{2,5},{4,8}} => {{1,8},{2,3,5,6,7},{4}}
[[1,3,6,7],[2,4],[5,8]] => {{1,3,6,7},{2,4},{5,8}} => {{1,4},{2,3,8},{5,6,7}}
[[1,2,6,7],[3,4],[5,8]] => {{1,2,6,7},{3,4},{5,8}} => {{1,2,4},{3,8},{5,6,7}}
[[1,4,5,7],[2,6],[3,8]] => {{1,4,5,7},{2,6},{3,8}} => {{1,8},{2,6,7},{3,4,5}}
[[1,3,5,7],[2,6],[4,8]] => {{1,3,5,7},{2,6},{4,8}} => {{1,8},{2,3,6,7},{4,5}}
[[1,3,4,7],[2,6],[5,8]] => {{1,3,4,7},{2,6},{5,8}} => {{1,8},{2,3,4,6,7},{5}}
[[1,2,4,7],[3,6],[5,8]] => {{1,2,4,7},{3,6},{5,8}} => {{1,2,8},{3,4,6,7},{5}}
[[1,2,3,7],[4,6],[5,8]] => {{1,2,3,7},{4,6},{5,8}} => {{1,2,3,8},{4,6,7},{5}}
[[1,3,5,7],[2,4],[6,8]] => {{1,3,5,7},{2,4},{6,8}} => {{1,4,5},{2,3,8},{6,7}}
[[1,2,5,7],[3,4],[6,8]] => {{1,2,5,7},{3,4},{6,8}} => {{1,2,4,5},{3,8},{6,7}}
[[1,3,4,7],[2,5],[6,8]] => {{1,3,4,7},{2,5},{6,8}} => {{1,5},{2,3,4,8},{6,7}}
[[1,2,4,7],[3,5],[6,8]] => {{1,2,4,7},{3,5},{6,8}} => {{1,2,5},{3,4,8},{6,7}}
[[1,4,5,6],[2,7],[3,8]] => {{1,4,5,6},{2,7},{3,8}} => {{1,8},{2,7},{3,4,5,6}}
[[1,3,5,6],[2,7],[4,8]] => {{1,3,5,6},{2,7},{4,8}} => {{1,8},{2,3,7},{4,5,6}}
[[1,2,5,6],[3,7],[4,8]] => {{1,2,5,6},{3,7},{4,8}} => {{1,2,8},{3,7},{4,5,6}}
[[1,3,4,6],[2,7],[5,8]] => {{1,3,4,6},{2,7},{5,8}} => {{1,8},{2,3,4,7},{5,6}}
[[1,2,4,6],[3,7],[5,8]] => {{1,2,4,6},{3,7},{5,8}} => {{1,2,8},{3,4,7},{5,6}}
[[1,2,3,6],[4,7],[5,8]] => {{1,2,3,6},{4,7},{5,8}} => {{1,2,3,8},{4,7},{5,6}}
[[1,2,4,5],[3,7],[6,8]] => {{1,2,4,5},{3,7},{6,8}} => {{1,2,8},{3,4,5,7},{6}}
[[1,2,3,5],[4,7],[6,8]] => {{1,2,3,5},{4,7},{6,8}} => {{1,2,3,8},{4,5,7},{6}}
[[1,2,3,4],[5,7],[6,8]] => {{1,2,3,4},{5,7},{6,8}} => {{1,2,3,4,8},{5,7},{6}}
[[1,3,5,6],[2,4],[7,8]] => {{1,3,5,6},{2,4},{7,8}} => {{1,4,5,6},{2,3,8},{7}}
[[1,2,5,6],[3,4],[7,8]] => {{1,2,5,6},{3,4},{7,8}} => {{1,2,4,5,6},{3,8},{7}}
[[1,3,4,6],[2,5],[7,8]] => {{1,3,4,6},{2,5},{7,8}} => {{1,5,6},{2,3,4,8},{7}}
[[1,2,4,6],[3,5],[7,8]] => {{1,2,4,6},{3,5},{7,8}} => {{1,2,5,6},{3,4,8},{7}}
[[1,2,3,6],[4,5],[7,8]] => {{1,2,3,6},{4,5},{7,8}} => {{1,2,3,5,6},{4,8},{7}}
[[1,2,4,5],[3,6],[7,8]] => {{1,2,4,5},{3,6},{7,8}} => {{1,2,6},{3,4,5,8},{7}}
[[1,2,3,5],[4,6],[7,8]] => {{1,2,3,5},{4,6},{7,8}} => {{1,2,3,6},{4,5,8},{7}}
[[1,2,3,4],[5,6],[7,8]] => {{1,2,3,4},{5,6},{7,8}} => {{1,2,3,4,6},{5,8},{7}}
[[1,5,7,8],[2,6],[3],[4]] => {{1,5,7,8},{2,6},{3},{4}} => {{1},{2},{3,6,7,8},{4,5}}
[[1,4,7,8],[2,6],[3],[5]] => {{1,4,7,8},{2,6},{3},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[[1,3,7,8],[2,6],[4],[5]] => {{1,3,7,8},{2,6},{4},{5}} => {{1},{2,3},{4,6,7,8},{5}}
[[1,2,7,8],[3,6],[4],[5]] => {{1,2,7,8},{3,6},{4},{5}} => {{1,2},{3},{4,6,7,8},{5}}
[[1,4,7,8],[2,5],[3],[6]] => {{1,4,7,8},{2,5},{3},{6}} => {{1},{2,5},{3,4},{6,7,8}}
[[1,3,7,8],[2,5],[4],[6]] => {{1,3,7,8},{2,5},{4},{6}} => {{1},{2,3,5},{4},{6,7,8}}
[[1,2,7,8],[3,5],[4],[6]] => {{1,2,7,8},{3,5},{4},{6}} => {{1,2},{3,5},{4},{6,7,8}}
[[1,3,7,8],[2,4],[5],[6]] => {{1,3,7,8},{2,4},{5},{6}} => {{1,4},{2,3},{5},{6,7,8}}
[[1,2,7,8],[3,4],[5],[6]] => {{1,2,7,8},{3,4},{5},{6}} => {{1,2,4},{3},{5},{6,7,8}}
[[1,5,6,8],[2,7],[3],[4]] => {{1,5,6,8},{2,7},{3},{4}} => {{1},{2},{3,7,8},{4,5,6}}
[[1,4,6,8],[2,7],[3],[5]] => {{1,4,6,8},{2,7},{3},{5}} => {{1},{2},{3,4,7,8},{5,6}}
[[1,3,6,8],[2,7],[4],[5]] => {{1,3,6,8},{2,7},{4},{5}} => {{1},{2,3},{4,7,8},{5,6}}
[[1,2,6,8],[3,7],[4],[5]] => {{1,2,6,8},{3,7},{4},{5}} => {{1,2},{3},{4,7,8},{5,6}}
[[1,4,5,8],[2,7],[3],[6]] => {{1,4,5,8},{2,7},{3},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[[1,3,5,8],[2,7],[4],[6]] => {{1,3,5,8},{2,7},{4},{6}} => {{1},{2,3},{4,5,7,8},{6}}
[[1,2,5,8],[3,7],[4],[6]] => {{1,2,5,8},{3,7},{4},{6}} => {{1,2},{3},{4,5,7,8},{6}}
[[1,3,4,8],[2,7],[5],[6]] => {{1,3,4,8},{2,7},{5},{6}} => {{1},{2,3,4},{5,7,8},{6}}
[[1,2,4,8],[3,7],[5],[6]] => {{1,2,4,8},{3,7},{5},{6}} => {{1,2},{3,4},{5,7,8},{6}}
[[1,2,3,8],[4,7],[5],[6]] => {{1,2,3,8},{4,7},{5},{6}} => {{1,2,3},{4},{5,7,8},{6}}
[[1,4,6,8],[2,5],[3],[7]] => {{1,4,6,8},{2,5},{3},{7}} => {{1},{2,5,6},{3,4},{7,8}}
[[1,3,6,8],[2,5],[4],[7]] => {{1,3,6,8},{2,5},{4},{7}} => {{1},{2,3,5,6},{4},{7,8}}
[[1,2,6,8],[3,5],[4],[7]] => {{1,2,6,8},{3,5},{4},{7}} => {{1,2},{3,5,6},{4},{7,8}}
[[1,3,6,8],[2,4],[5],[7]] => {{1,3,6,8},{2,4},{5},{7}} => {{1,4},{2,3},{5,6},{7,8}}
[[1,2,6,8],[3,4],[5],[7]] => {{1,2,6,8},{3,4},{5},{7}} => {{1,2,4},{3},{5,6},{7,8}}
[[1,4,5,8],[2,6],[3],[7]] => {{1,4,5,8},{2,6},{3},{7}} => {{1},{2,6},{3,4,5},{7,8}}
[[1,3,5,8],[2,6],[4],[7]] => {{1,3,5,8},{2,6},{4},{7}} => {{1},{2,3,6},{4,5},{7,8}}
[[1,2,5,8],[3,6],[4],[7]] => {{1,2,5,8},{3,6},{4},{7}} => {{1,2},{3,6},{4,5},{7,8}}
[[1,3,4,8],[2,6],[5],[7]] => {{1,3,4,8},{2,6},{5},{7}} => {{1},{2,3,4,6},{5},{7,8}}
[[1,2,4,8],[3,6],[5],[7]] => {{1,2,4,8},{3,6},{5},{7}} => {{1,2},{3,4,6},{5},{7,8}}
[[1,2,3,8],[4,6],[5],[7]] => {{1,2,3,8},{4,6},{5},{7}} => {{1,2,3},{4,6},{5},{7,8}}
[[1,3,5,8],[2,4],[6],[7]] => {{1,3,5,8},{2,4},{6},{7}} => {{1,4,5},{2,3},{6},{7,8}}
[[1,2,5,8],[3,4],[6],[7]] => {{1,2,5,8},{3,4},{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}} => {{1,5},{2,3,4},{6},{7,8}}
[[1,2,4,8],[3,5],[6],[7]] => {{1,2,4,8},{3,5},{6},{7}} => {{1,2,5},{3,4},{6},{7,8}}
[[1,2,3,8],[4,5],[6],[7]] => {{1,2,3,8},{4,5},{6},{7}} => {{1,2,3,5},{4},{6},{7,8}}
[[1,5,6,7],[2,8],[3],[4]] => {{1,5,6,7},{2,8},{3},{4}} => {{1},{2},{3,8},{4,5,6,7}}
[[1,4,6,7],[2,8],[3],[5]] => {{1,4,6,7},{2,8},{3},{5}} => {{1},{2},{3,4,8},{5,6,7}}
[[1,3,6,7],[2,8],[4],[5]] => {{1,3,6,7},{2,8},{4},{5}} => {{1},{2,3},{4,8},{5,6,7}}
[[1,2,6,7],[3,8],[4],[5]] => {{1,2,6,7},{3,8},{4},{5}} => {{1,2},{3},{4,8},{5,6,7}}
[[1,4,5,7],[2,8],[3],[6]] => {{1,4,5,7},{2,8},{3},{6}} => {{1},{2},{3,4,5,8},{6,7}}
[[1,3,5,7],[2,8],[4],[6]] => {{1,3,5,7},{2,8},{4},{6}} => {{1},{2,3},{4,5,8},{6,7}}
[[1,2,5,7],[3,8],[4],[6]] => {{1,2,5,7},{3,8},{4},{6}} => {{1,2},{3},{4,5,8},{6,7}}
[[1,3,4,7],[2,8],[5],[6]] => {{1,3,4,7},{2,8},{5},{6}} => {{1},{2,3,4},{5,8},{6,7}}
[[1,2,4,7],[3,8],[5],[6]] => {{1,2,4,7},{3,8},{5},{6}} => {{1,2},{3,4},{5,8},{6,7}}
[[1,2,3,7],[4,8],[5],[6]] => {{1,2,3,7},{4,8},{5},{6}} => {{1,2,3},{4},{5,8},{6,7}}
[[1,4,5,6],[2,8],[3],[7]] => {{1,4,5,6},{2,8},{3},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[[1,3,5,6],[2,8],[4],[7]] => {{1,3,5,6},{2,8},{4},{7}} => {{1},{2,3},{4,5,6,8},{7}}
[[1,2,5,6],[3,8],[4],[7]] => {{1,2,5,6},{3,8},{4},{7}} => {{1,2},{3},{4,5,6,8},{7}}
[[1,3,4,6],[2,8],[5],[7]] => {{1,3,4,6},{2,8},{5},{7}} => {{1},{2,3,4},{5,6,8},{7}}
[[1,2,4,6],[3,8],[5],[7]] => {{1,2,4,6},{3,8},{5},{7}} => {{1,2},{3,4},{5,6,8},{7}}
[[1,2,3,6],[4,8],[5],[7]] => {{1,2,3,6},{4,8},{5},{7}} => {{1,2,3},{4},{5,6,8},{7}}
[[1,3,4,5],[2,8],[6],[7]] => {{1,3,4,5},{2,8},{6},{7}} => {{1},{2,3,4,5},{6,8},{7}}
[[1,2,4,5],[3,8],[6],[7]] => {{1,2,4,5},{3,8},{6},{7}} => {{1,2},{3,4,5},{6,8},{7}}
[[1,2,3,5],[4,8],[6],[7]] => {{1,2,3,5},{4,8},{6},{7}} => {{1,2,3},{4,5},{6,8},{7}}
[[1,4,6,7],[2,5],[3],[8]] => {{1,4,6,7},{2,5},{3},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[[1,3,6,7],[2,5],[4],[8]] => {{1,3,6,7},{2,5},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[[1,2,6,7],[3,5],[4],[8]] => {{1,2,6,7},{3,5},{4},{8}} => {{1,2},{3,5,6,7},{4},{8}}
[[1,3,6,7],[2,4],[5],[8]] => {{1,3,6,7},{2,4},{5},{8}} => {{1,4},{2,3},{5,6,7},{8}}
[[1,4,5,7],[2,6],[3],[8]] => {{1,4,5,7},{2,6},{3},{8}} => {{1},{2,6,7},{3,4,5},{8}}
[[1,3,5,7],[2,6],[4],[8]] => {{1,3,5,7},{2,6},{4},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[[1,2,5,7],[3,6],[4],[8]] => {{1,2,5,7},{3,6},{4},{8}} => {{1,2},{3,6,7},{4,5},{8}}
[[1,3,4,7],[2,6],[5],[8]] => {{1,3,4,7},{2,6},{5},{8}} => {{1},{2,3,4,6,7},{5},{8}}
[[1,2,4,7],[3,6],[5],[8]] => {{1,2,4,7},{3,6},{5},{8}} => {{1,2},{3,4,6,7},{5},{8}}
[[1,2,3,7],[4,6],[5],[8]] => {{1,2,3,7},{4,6},{5},{8}} => {{1,2,3},{4,6,7},{5},{8}}
[[1,3,5,7],[2,4],[6],[8]] => {{1,3,5,7},{2,4},{6},{8}} => {{1,4,5},{2,3},{6,7},{8}}
[[1,2,5,7],[3,4],[6],[8]] => {{1,2,5,7},{3,4},{6},{8}} => {{1,2,4,5},{3},{6,7},{8}}
[[1,3,4,7],[2,5],[6],[8]] => {{1,3,4,7},{2,5},{6},{8}} => {{1,5},{2,3,4},{6,7},{8}}
[[1,2,4,7],[3,5],[6],[8]] => {{1,2,4,7},{3,5},{6},{8}} => {{1,2,5},{3,4},{6,7},{8}}
[[1,2,3,7],[4,5],[6],[8]] => {{1,2,3,7},{4,5},{6},{8}} => {{1,2,3,5},{4},{6,7},{8}}
[[1,4,5,6],[2,7],[3],[8]] => {{1,4,5,6},{2,7},{3},{8}} => {{1},{2,7},{3,4,5,6},{8}}
[[1,3,5,6],[2,7],[4],[8]] => {{1,3,5,6},{2,7},{4},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[[1,2,5,6],[3,7],[4],[8]] => {{1,2,5,6},{3,7},{4},{8}} => {{1,2},{3,7},{4,5,6},{8}}
[[1,3,4,6],[2,7],[5],[8]] => {{1,3,4,6},{2,7},{5},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[[1,2,4,6],[3,7],[5],[8]] => {{1,2,4,6},{3,7},{5},{8}} => {{1,2},{3,4,7},{5,6},{8}}
[[1,2,3,6],[4,7],[5],[8]] => {{1,2,3,6},{4,7},{5},{8}} => {{1,2,3},{4,7},{5,6},{8}}
[[1,3,4,5],[2,7],[6],[8]] => {{1,3,4,5},{2,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[[1,2,4,5],[3,7],[6],[8]] => {{1,2,4,5},{3,7},{6},{8}} => {{1,2},{3,4,5,7},{6},{8}}
[[1,2,3,5],[4,7],[6],[8]] => {{1,2,3,5},{4,7},{6},{8}} => {{1,2,3},{4,5,7},{6},{8}}
[[1,3,5,6],[2,4],[7],[8]] => {{1,3,5,6},{2,4},{7},{8}} => {{1,4,5,6},{2,3},{7},{8}}
[[1,2,5,6],[3,4],[7],[8]] => {{1,2,5,6},{3,4},{7},{8}} => {{1,2,4,5,6},{3},{7},{8}}
[[1,3,4,6],[2,5],[7],[8]] => {{1,3,4,6},{2,5},{7},{8}} => {{1,5,6},{2,3,4},{7},{8}}
[[1,2,4,6],[3,5],[7],[8]] => {{1,2,4,6},{3,5},{7},{8}} => {{1,2,5,6},{3,4},{7},{8}}
[[1,2,3,6],[4,5],[7],[8]] => {{1,2,3,6},{4,5},{7},{8}} => {{1,2,3,5,6},{4},{7},{8}}
[[1,3,4,5],[2,6],[7],[8]] => {{1,3,4,5},{2,6},{7},{8}} => {{1,6},{2,3,4,5},{7},{8}}
[[1,2,4,5],[3,6],[7],[8]] => {{1,2,4,5},{3,6},{7},{8}} => {{1,2,6},{3,4,5},{7},{8}}
[[1,2,3,5],[4,6],[7],[8]] => {{1,2,3,5},{4,6},{7},{8}} => {{1,2,3,6},{4,5},{7},{8}}
[[1,2,3,4],[5,6],[7],[8]] => {{1,2,3,4},{5,6},{7},{8}} => {{1,2,3,4,6},{5},{7},{8}}
[[1,6,7,8],[2],[3],[4],[5]] => {{1,6,7,8},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7,8}}
[[1,5,7,8],[2],[3],[4],[6]] => {{1,5,7,8},{2},{3},{4},{6}} => {{1},{2},{3},{4,5},{6,7,8}}
[[1,3,7,8],[2],[4],[5],[6]] => {{1,3,7,8},{2},{4},{5},{6}} => {{1},{2,3},{4},{5},{6,7,8}}
[[1,2,7,8],[3],[4],[5],[6]] => {{1,2,7,8},{3},{4},{5},{6}} => {{1,2},{3},{4},{5},{6,7,8}}
[[1,5,6,8],[2],[3],[4],[7]] => {{1,5,6,8},{2},{3},{4},{7}} => {{1},{2},{3},{4,5,6},{7,8}}
[[1,4,6,8],[2],[3],[5],[7]] => {{1,4,6,8},{2},{3},{5},{7}} => {{1},{2},{3,4},{5,6},{7,8}}
[[1,2,6,8],[3],[4],[5],[7]] => {{1,2,6,8},{3},{4},{5},{7}} => {{1,2},{3},{4},{5,6},{7,8}}
[[1,4,5,8],[2],[3],[6],[7]] => {{1,4,5,8},{2},{3},{6},{7}} => {{1},{2},{3,4,5},{6},{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}}
[[1,2,5,8],[3],[4],[6],[7]] => {{1,2,5,8},{3},{4},{6},{7}} => {{1,2},{3},{4,5},{6},{7,8}}
[[1,3,4,8],[2],[5],[6],[7]] => {{1,3,4,8},{2},{5},{6},{7}} => {{1},{2,3,4},{5},{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}}
[[1,2,3,8],[4],[5],[6],[7]] => {{1,2,3,8},{4},{5},{6},{7}} => {{1,2,3},{4},{5},{6},{7,8}}
[[1,5,6,7],[2],[3],[4],[8]] => {{1,5,6,7},{2},{3},{4},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[[1,3,6,7],[2],[4],[5],[8]] => {{1,3,6,7},{2},{4},{5},{8}} => {{1},{2,3},{4},{5,6,7},{8}}
[[1,3,5,7],[2],[4],[6],[8]] => {{1,3,5,7},{2},{4},{6},{8}} => {{1},{2,3},{4,5},{6,7},{8}}
[[1,3,4,7],[2],[5],[6],[8]] => {{1,3,4,7},{2},{5},{6},{8}} => {{1},{2,3,4},{5},{6,7},{8}}
[[1,4,5,6],[2],[3],[7],[8]] => {{1,4,5,6},{2},{3},{7},{8}} => {{1},{2},{3,4,5,6},{7},{8}}
[[1,3,4,6],[2],[5],[7],[8]] => {{1,3,4,6},{2},{5},{7},{8}} => {{1},{2,3,4},{5,6},{7},{8}}
[[1,2,4,6],[3],[5],[7],[8]] => {{1,2,4,6},{3},{5},{7},{8}} => {{1,2},{3,4},{5,6},{7},{8}}
[[1,3,4,5],[2],[6],[7],[8]] => {{1,3,4,5},{2},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[[1,2,3,5],[4],[6],[7],[8]] => {{1,2,3,5},{4},{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}} => {{1,2,3,4},{5},{6},{7},{8}}
[[1,4,7],[2,5,8],[3,6]] => {{1,4,7},{2,5,8},{3,6}} => {{1,6,7},{2,5,8},{3,4}}
[[1,3,7],[2,4,8],[5,6]] => {{1,3,7},{2,4,8},{5,6}} => {{1,4},{2,3,6,7},{5,8}}
[[1,4,6],[2,5,8],[3,7]] => {{1,4,6},{2,5,8},{3,7}} => {{1,7},{2,5,6,8},{3,4}}
[[1,3,6],[2,5,8],[4,7]] => {{1,3,6},{2,5,8},{4,7}} => {{1,7},{2,3,5,6,8},{4}}
[[1,2,6],[3,5,8],[4,7]] => {{1,2,6},{3,5,8},{4,7}} => {{1,2,7},{3,5,6,8},{4}}
[[1,2,6],[3,4,8],[5,7]] => {{1,2,6},{3,4,8},{5,7}} => {{1,2,4},{3,7},{5,6,8}}
[[1,4,5],[2,6,8],[3,7]] => {{1,4,5},{2,6,8},{3,7}} => {{1,7},{2,6,8},{3,4,5}}
[[1,3,5],[2,6,8],[4,7]] => {{1,3,5},{2,6,8},{4,7}} => {{1,7},{2,3,6,8},{4,5}}
[[1,2,5],[3,6,8],[4,7]] => {{1,2,5},{3,6,8},{4,7}} => {{1,2,7},{3,6,8},{4,5}}
[[1,3,4],[2,6,8],[5,7]] => {{1,3,4},{2,6,8},{5,7}} => {{1,7},{2,3,4,6,8},{5}}
[[1,3,5],[2,4,8],[6,7]] => {{1,3,5},{2,4,8},{6,7}} => {{1,4,5},{2,3,7},{6,8}}
[[1,2,5],[3,4,8],[6,7]] => {{1,2,5},{3,4,8},{6,7}} => {{1,2,4,5},{3,7},{6,8}}
[[1,3,4],[2,5,8],[6,7]] => {{1,3,4},{2,5,8},{6,7}} => {{1,5},{2,3,4,7},{6,8}}
[[1,2,4],[3,5,8],[6,7]] => {{1,2,4},{3,5,8},{6,7}} => {{1,2,5},{3,4,7},{6,8}}
[[1,2,3],[4,5,8],[6,7]] => {{1,2,3},{4,5,8},{6,7}} => {{1,2,3,5},{4,7},{6,8}}
[[1,4,6],[2,5,7],[3,8]] => {{1,4,6},{2,5,7},{3,8}} => {{1,8},{2,5,6},{3,4,7}}
[[1,3,6],[2,5,7],[4,8]] => {{1,3,6},{2,5,7},{4,8}} => {{1,8},{2,3,5,6},{4,7}}
[[1,3,6],[2,4,7],[5,8]] => {{1,3,6},{2,4,7},{5,8}} => {{1,4,7},{2,3,8},{5,6}}
[[1,3,5],[2,6,7],[4,8]] => {{1,3,5},{2,6,7},{4,8}} => {{1,8},{2,3,6},{4,5,7}}
[[1,3,5],[2,4,7],[6,8]] => {{1,3,5},{2,4,7},{6,8}} => {{1,4,5,7},{2,3,8},{6}}
[[1,2,4],[3,5,7],[6,8]] => {{1,2,4},{3,5,7},{6,8}} => {{1,2,5,7},{3,4,8},{6}}
[[1,2,3],[4,5,7],[6,8]] => {{1,2,3},{4,5,7},{6,8}} => {{1,2,3,5,7},{4,8},{6}}
[[1,2,5],[3,4,6],[7,8]] => {{1,2,5},{3,4,6},{7,8}} => {{1,2,4,5,8},{3,6},{7}}
[[1,3,4],[2,5,6],[7,8]] => {{1,3,4},{2,5,6},{7,8}} => {{1,5,8},{2,3,4,6},{7}}
[[1,2,4],[3,5,6],[7,8]] => {{1,2,4},{3,5,6},{7,8}} => {{1,2,5,8},{3,4,6},{7}}
[[1,2,3],[4,5,6],[7,8]] => {{1,2,3},{4,5,6},{7,8}} => {{1,2,3,5,8},{4,6},{7}}
[[1,5,7],[2,6,8],[3],[4]] => {{1,5,7},{2,6,8},{3},{4}} => {{1},{2},{3,6,7},{4,5,8}}
[[1,4,7],[2,6,8],[3],[5]] => {{1,4,7},{2,6,8},{3},{5}} => {{1},{2},{3,4,6,7},{5,8}}
[[1,3,7],[2,6,8],[4],[5]] => {{1,3,7},{2,6,8},{4},{5}} => {{1},{2,3},{4,6,7},{5,8}}
[[1,2,7],[3,6,8],[4],[5]] => {{1,2,7},{3,6,8},{4},{5}} => {{1,2},{3},{4,6,7},{5,8}}
[[1,4,7],[2,5,8],[3],[6]] => {{1,4,7},{2,5,8},{3},{6}} => {{1},{2,5,8},{3,4},{6,7}}
[[1,3,7],[2,5,8],[4],[6]] => {{1,3,7},{2,5,8},{4},{6}} => {{1},{2,3,5,8},{4},{6,7}}
[[1,2,7],[3,5,8],[4],[6]] => {{1,2,7},{3,5,8},{4},{6}} => {{1,2},{3,5,8},{4},{6,7}}
[[1,3,7],[2,4,8],[5],[6]] => {{1,3,7},{2,4,8},{5},{6}} => {{1,4},{2,3},{5,8},{6,7}}
[[1,2,7],[3,4,8],[5],[6]] => {{1,2,7},{3,4,8},{5},{6}} => {{1,2,4},{3},{5,8},{6,7}}
[[1,5,6],[2,7,8],[3],[4]] => {{1,5,6},{2,7,8},{3},{4}} => {{1},{2},{3,7},{4,5,6,8}}
[[1,4,6],[2,7,8],[3],[5]] => {{1,4,6},{2,7,8},{3},{5}} => {{1},{2},{3,4,7},{5,6,8}}
[[1,3,6],[2,7,8],[4],[5]] => {{1,3,6},{2,7,8},{4},{5}} => {{1},{2,3},{4,7},{5,6,8}}
[[1,2,6],[3,7,8],[4],[5]] => {{1,2,6},{3,7,8},{4},{5}} => {{1,2},{3},{4,7},{5,6,8}}
[[1,4,5],[2,7,8],[3],[6]] => {{1,4,5},{2,7,8},{3},{6}} => {{1},{2},{3,4,5,7},{6,8}}
[[1,3,5],[2,7,8],[4],[6]] => {{1,3,5},{2,7,8},{4},{6}} => {{1},{2,3},{4,5,7},{6,8}}
[[1,2,5],[3,7,8],[4],[6]] => {{1,2,5},{3,7,8},{4},{6}} => {{1,2},{3},{4,5,7},{6,8}}
[[1,3,4],[2,7,8],[5],[6]] => {{1,3,4},{2,7,8},{5},{6}} => {{1},{2,3,4},{5,7},{6,8}}
[[1,2,4],[3,7,8],[5],[6]] => {{1,2,4},{3,7,8},{5},{6}} => {{1,2},{3,4},{5,7},{6,8}}
[[1,4,6],[2,5,8],[3],[7]] => {{1,4,6},{2,5,8},{3},{7}} => {{1},{2,5,6,8},{3,4},{7}}
[[1,3,6],[2,5,8],[4],[7]] => {{1,3,6},{2,5,8},{4},{7}} => {{1},{2,3,5,6,8},{4},{7}}
[[1,2,6],[3,5,8],[4],[7]] => {{1,2,6},{3,5,8},{4},{7}} => {{1,2},{3,5,6,8},{4},{7}}
[[1,3,6],[2,4,8],[5],[7]] => {{1,3,6},{2,4,8},{5},{7}} => {{1,4},{2,3},{5,6,8},{7}}
[[1,2,6],[3,4,8],[5],[7]] => {{1,2,6},{3,4,8},{5},{7}} => {{1,2,4},{3},{5,6,8},{7}}
[[1,4,5],[2,6,8],[3],[7]] => {{1,4,5},{2,6,8},{3},{7}} => {{1},{2,6,8},{3,4,5},{7}}
[[1,3,5],[2,6,8],[4],[7]] => {{1,3,5},{2,6,8},{4},{7}} => {{1},{2,3,6,8},{4,5},{7}}
[[1,2,5],[3,6,8],[4],[7]] => {{1,2,5},{3,6,8},{4},{7}} => {{1,2},{3,6,8},{4,5},{7}}
[[1,3,4],[2,6,8],[5],[7]] => {{1,3,4},{2,6,8},{5},{7}} => {{1},{2,3,4,6,8},{5},{7}}
[[1,2,4],[3,6,8],[5],[7]] => {{1,2,4},{3,6,8},{5},{7}} => {{1,2},{3,4,6,8},{5},{7}}
[[1,2,3],[4,6,8],[5],[7]] => {{1,2,3},{4,6,8},{5},{7}} => {{1,2,3},{4,6,8},{5},{7}}
[[1,3,5],[2,4,8],[6],[7]] => {{1,3,5},{2,4,8},{6},{7}} => {{1,4,5},{2,3},{6,8},{7}}
[[1,2,5],[3,4,8],[6],[7]] => {{1,2,5},{3,4,8},{6},{7}} => {{1,2,4,5},{3},{6,8},{7}}
[[1,3,4],[2,5,8],[6],[7]] => {{1,3,4},{2,5,8},{6},{7}} => {{1,5},{2,3,4},{6,8},{7}}
[[1,2,4],[3,5,8],[6],[7]] => {{1,2,4},{3,5,8},{6},{7}} => {{1,2,5},{3,4},{6,8},{7}}
[[1,2,3],[4,5,8],[6],[7]] => {{1,2,3},{4,5,8},{6},{7}} => {{1,2,3,5},{4},{6,8},{7}}
[[1,4,6],[2,5,7],[3],[8]] => {{1,4,6},{2,5,7},{3},{8}} => {{1},{2,5,6},{3,4,7},{8}}
[[1,3,6],[2,5,7],[4],[8]] => {{1,3,6},{2,5,7},{4},{8}} => {{1},{2,3,5,6},{4,7},{8}}
[[1,2,6],[3,5,7],[4],[8]] => {{1,2,6},{3,5,7},{4},{8}} => {{1,2},{3,5,6},{4,7},{8}}
[[1,3,6],[2,4,7],[5],[8]] => {{1,3,6},{2,4,7},{5},{8}} => {{1,4,7},{2,3},{5,6},{8}}
[[1,2,6],[3,4,7],[5],[8]] => {{1,2,6},{3,4,7},{5},{8}} => {{1,2,4,7},{3},{5,6},{8}}
[[1,4,5],[2,6,7],[3],[8]] => {{1,4,5},{2,6,7},{3},{8}} => {{1},{2,6},{3,4,5,7},{8}}
[[1,3,5],[2,6,7],[4],[8]] => {{1,3,5},{2,6,7},{4},{8}} => {{1},{2,3,6},{4,5,7},{8}}
[[1,2,5],[3,6,7],[4],[8]] => {{1,2,5},{3,6,7},{4},{8}} => {{1,2},{3,6},{4,5,7},{8}}
[[1,3,4],[2,6,7],[5],[8]] => {{1,3,4},{2,6,7},{5},{8}} => {{1},{2,3,4,6},{5,7},{8}}
[[1,2,4],[3,6,7],[5],[8]] => {{1,2,4},{3,6,7},{5},{8}} => {{1,2},{3,4,6},{5,7},{8}}
[[1,2,3],[4,6,7],[5],[8]] => {{1,2,3},{4,6,7},{5},{8}} => {{1,2,3},{4,6},{5,7},{8}}
[[1,3,5],[2,4,7],[6],[8]] => {{1,3,5},{2,4,7},{6},{8}} => {{1,4,5,7},{2,3},{6},{8}}
[[1,2,5],[3,4,7],[6],[8]] => {{1,2,5},{3,4,7},{6},{8}} => {{1,2,4,5,7},{3},{6},{8}}
[[1,3,4],[2,5,7],[6],[8]] => {{1,3,4},{2,5,7},{6},{8}} => {{1,5,7},{2,3,4},{6},{8}}
[[1,2,4],[3,5,7],[6],[8]] => {{1,2,4},{3,5,7},{6},{8}} => {{1,2,5,7},{3,4},{6},{8}}
[[1,3,5],[2,4,6],[7],[8]] => {{1,3,5},{2,4,6},{7},{8}} => {{1,4,5},{2,3,6},{7},{8}}
[[1,2,5],[3,4,6],[7],[8]] => {{1,2,5},{3,4,6},{7},{8}} => {{1,2,4,5},{3,6},{7},{8}}
[[1,2,3],[4,5,6],[7],[8]] => {{1,2,3},{4,5,6},{7},{8}} => {{1,2,3,5},{4,6},{7},{8}}
[[1,5,8],[2,6],[3,7],[4]] => {{1,5,8},{2,6},{3,7},{4}} => {{1},{2,7,8},{3,6},{4,5}}
[[1,4,8],[2,6],[3,7],[5]] => {{1,4,8},{2,6},{3,7},{5}} => {{1},{2,7,8},{3,4,6},{5}}
[[1,3,8],[2,6],[4,7],[5]] => {{1,3,8},{2,6},{4,7},{5}} => {{1},{2,3,7,8},{4,6},{5}}
[[1,2,8],[3,6],[4,7],[5]] => {{1,2,8},{3,6},{4,7},{5}} => {{1,2},{3,7,8},{4,6},{5}}
[[1,4,8],[2,5],[3,7],[6]] => {{1,4,8},{2,5},{3,7},{6}} => {{1},{2,5},{3,4,7,8},{6}}
[[1,3,8],[2,5],[4,7],[6]] => {{1,3,8},{2,5},{4,7},{6}} => {{1},{2,3,5},{4,7,8},{6}}
[[1,2,8],[3,5],[4,7],[6]] => {{1,2,8},{3,5},{4,7},{6}} => {{1,2},{3,5},{4,7,8},{6}}
[[1,3,8],[2,4],[5,7],[6]] => {{1,3,8},{2,4},{5,7},{6}} => {{1,4,7,8},{2,3},{5},{6}}
[[1,2,8],[3,4],[5,7],[6]] => {{1,2,8},{3,4},{5,7},{6}} => {{1,2,4,7,8},{3},{5},{6}}
[[1,4,8],[2,5],[3,6],[7]] => {{1,4,8},{2,5},{3,6},{7}} => {{1,6},{2,5},{3,4},{7,8}}
[[1,3,8],[2,5],[4,6],[7]] => {{1,3,8},{2,5},{4,6},{7}} => {{1,6},{2,3,5},{4},{7,8}}
[[1,2,8],[3,5],[4,6],[7]] => {{1,2,8},{3,5},{4,6},{7}} => {{1,2,6},{3,5},{4},{7,8}}
[[1,3,8],[2,4],[5,6],[7]] => {{1,3,8},{2,4},{5,6},{7}} => {{1,4},{2,3,6},{5},{7,8}}
[[1,2,8],[3,4],[5,6],[7]] => {{1,2,8},{3,4},{5,6},{7}} => {{1,2,4},{3,6},{5},{7,8}}
[[1,5,7],[2,6],[3,8],[4]] => {{1,5,7},{2,6},{3,8},{4}} => {{1},{2,8},{3,6,7},{4,5}}
[[1,4,7],[2,6],[3,8],[5]] => {{1,4,7},{2,6},{3,8},{5}} => {{1},{2,8},{3,4,6,7},{5}}
[[1,3,7],[2,6],[4,8],[5]] => {{1,3,7},{2,6},{4,8},{5}} => {{1},{2,3,8},{4,6,7},{5}}
[[1,2,7],[3,6],[4,8],[5]] => {{1,2,7},{3,6},{4,8},{5}} => {{1,2},{3,8},{4,6,7},{5}}
[[1,4,7],[2,5],[3,8],[6]] => {{1,4,7},{2,5},{3,8},{6}} => {{1},{2,5},{3,4,8},{6,7}}
[[1,3,7],[2,5],[4,8],[6]] => {{1,3,7},{2,5},{4,8},{6}} => {{1},{2,3,5},{4,8},{6,7}}
[[1,2,7],[3,5],[4,8],[6]] => {{1,2,7},{3,5},{4,8},{6}} => {{1,2},{3,5},{4,8},{6,7}}
[[1,3,7],[2,4],[5,8],[6]] => {{1,3,7},{2,4},{5,8},{6}} => {{1,4,8},{2,3},{5},{6,7}}
[[1,2,7],[3,4],[5,8],[6]] => {{1,2,7},{3,4},{5,8},{6}} => {{1,2,4,8},{3},{5},{6,7}}
[[1,5,6],[2,7],[3,8],[4]] => {{1,5,6},{2,7},{3,8},{4}} => {{1},{2,8},{3,7},{4,5,6}}
[[1,4,6],[2,7],[3,8],[5]] => {{1,4,6},{2,7},{3,8},{5}} => {{1},{2,8},{3,4,7},{5,6}}
[[1,3,6],[2,7],[4,8],[5]] => {{1,3,6},{2,7},{4,8},{5}} => {{1},{2,3,8},{4,7},{5,6}}
[[1,2,6],[3,7],[4,8],[5]] => {{1,2,6},{3,7},{4,8},{5}} => {{1,2},{3,8},{4,7},{5,6}}
[[1,4,5],[2,7],[3,8],[6]] => {{1,4,5},{2,7},{3,8},{6}} => {{1},{2,8},{3,4,5,7},{6}}
[[1,3,5],[2,7],[4,8],[6]] => {{1,3,5},{2,7},{4,8},{6}} => {{1},{2,3,8},{4,5,7},{6}}
[[1,2,5],[3,7],[4,8],[6]] => {{1,2,5},{3,7},{4,8},{6}} => {{1,2},{3,8},{4,5,7},{6}}
[[1,3,4],[2,7],[5,8],[6]] => {{1,3,4},{2,7},{5,8},{6}} => {{1},{2,3,4,8},{5,7},{6}}
[[1,2,4],[3,7],[5,8],[6]] => {{1,2,4},{3,7},{5,8},{6}} => {{1,2},{3,4,8},{5,7},{6}}
[[1,2,3],[4,7],[5,8],[6]] => {{1,2,3},{4,7},{5,8},{6}} => {{1,2,3},{4,8},{5,7},{6}}
[[1,4,6],[2,5],[3,8],[7]] => {{1,4,6},{2,5},{3,8},{7}} => {{1},{2,5,6},{3,4,8},{7}}
[[1,3,6],[2,5],[4,8],[7]] => {{1,3,6},{2,5},{4,8},{7}} => {{1},{2,3,5,6},{4,8},{7}}
[[1,2,6],[3,5],[4,8],[7]] => {{1,2,6},{3,5},{4,8},{7}} => {{1,2},{3,5,6},{4,8},{7}}
[[1,3,6],[2,4],[5,8],[7]] => {{1,3,6},{2,4},{5,8},{7}} => {{1,4,8},{2,3},{5,6},{7}}
[[1,2,6],[3,4],[5,8],[7]] => {{1,2,6},{3,4},{5,8},{7}} => {{1,2,4,8},{3},{5,6},{7}}
[[1,4,5],[2,6],[3,8],[7]] => {{1,4,5},{2,6},{3,8},{7}} => {{1},{2,6},{3,4,5,8},{7}}
[[1,3,5],[2,6],[4,8],[7]] => {{1,3,5},{2,6},{4,8},{7}} => {{1},{2,3,6},{4,5,8},{7}}
[[1,2,5],[3,6],[4,8],[7]] => {{1,2,5},{3,6},{4,8},{7}} => {{1,2},{3,6},{4,5,8},{7}}
[[1,3,4],[2,6],[5,8],[7]] => {{1,3,4},{2,6},{5,8},{7}} => {{1},{2,3,4,6},{5,8},{7}}
[[1,2,4],[3,6],[5,8],[7]] => {{1,2,4},{3,6},{5,8},{7}} => {{1,2},{3,4,6},{5,8},{7}}
[[1,2,3],[4,6],[5,8],[7]] => {{1,2,3},{4,6},{5,8},{7}} => {{1,2,3},{4,6},{5,8},{7}}
[[1,3,5],[2,4],[6,8],[7]] => {{1,3,5},{2,4},{6,8},{7}} => {{1,4,5,8},{2,3},{6},{7}}
[[1,2,5],[3,4],[6,8],[7]] => {{1,2,5},{3,4},{6,8},{7}} => {{1,2,4,5,8},{3},{6},{7}}
[[1,3,4],[2,5],[6,8],[7]] => {{1,3,4},{2,5},{6,8},{7}} => {{1,5,8},{2,3,4},{6},{7}}
[[1,2,4],[3,5],[6,8],[7]] => {{1,2,4},{3,5},{6,8},{7}} => {{1,2,5,8},{3,4},{6},{7}}
[[1,4,7],[2,5],[3,6],[8]] => {{1,4,7},{2,5},{3,6},{8}} => {{1,6,7},{2,5},{3,4},{8}}
[[1,3,7],[2,5],[4,6],[8]] => {{1,3,7},{2,5},{4,6},{8}} => {{1,6,7},{2,3,5},{4},{8}}
[[1,2,7],[3,5],[4,6],[8]] => {{1,2,7},{3,5},{4,6},{8}} => {{1,2,6,7},{3,5},{4},{8}}
[[1,3,7],[2,4],[5,6],[8]] => {{1,3,7},{2,4},{5,6},{8}} => {{1,4},{2,3,6,7},{5},{8}}
[[1,2,7],[3,4],[5,6],[8]] => {{1,2,7},{3,4},{5,6},{8}} => {{1,2,4},{3,6,7},{5},{8}}
[[1,4,6],[2,5],[3,7],[8]] => {{1,4,6},{2,5},{3,7},{8}} => {{1,7},{2,5,6},{3,4},{8}}
[[1,3,6],[2,5],[4,7],[8]] => {{1,3,6},{2,5},{4,7},{8}} => {{1,7},{2,3,5,6},{4},{8}}
[[1,2,6],[3,5],[4,7],[8]] => {{1,2,6},{3,5},{4,7},{8}} => {{1,2,7},{3,5,6},{4},{8}}
[[1,3,6],[2,4],[5,7],[8]] => {{1,3,6},{2,4},{5,7},{8}} => {{1,4},{2,3,7},{5,6},{8}}
[[1,2,6],[3,4],[5,7],[8]] => {{1,2,6},{3,4},{5,7},{8}} => {{1,2,4},{3,7},{5,6},{8}}
[[1,4,5],[2,6],[3,7],[8]] => {{1,4,5},{2,6},{3,7},{8}} => {{1,7},{2,6},{3,4,5},{8}}
[[1,3,5],[2,6],[4,7],[8]] => {{1,3,5},{2,6},{4,7},{8}} => {{1,7},{2,3,6},{4,5},{8}}
[[1,2,5],[3,6],[4,7],[8]] => {{1,2,5},{3,6},{4,7},{8}} => {{1,2,7},{3,6},{4,5},{8}}
[[1,3,4],[2,6],[5,7],[8]] => {{1,3,4},{2,6},{5,7},{8}} => {{1,7},{2,3,4,6},{5},{8}}
[[1,2,4],[3,6],[5,7],[8]] => {{1,2,4},{3,6},{5,7},{8}} => {{1,2,7},{3,4,6},{5},{8}}
[[1,2,3],[4,6],[5,7],[8]] => {{1,2,3},{4,6},{5,7},{8}} => {{1,2,3,7},{4,6},{5},{8}}
[[1,3,5],[2,4],[6,7],[8]] => {{1,3,5},{2,4},{6,7},{8}} => {{1,4,5},{2,3,7},{6},{8}}
[[1,2,5],[3,4],[6,7],[8]] => {{1,2,5},{3,4},{6,7},{8}} => {{1,2,4,5},{3,7},{6},{8}}
[[1,3,4],[2,5],[6,7],[8]] => {{1,3,4},{2,5},{6,7},{8}} => {{1,5},{2,3,4,7},{6},{8}}
[[1,2,4],[3,5],[6,7],[8]] => {{1,2,4},{3,5},{6,7},{8}} => {{1,2,5},{3,4,7},{6},{8}}
[[1,2,3],[4,5],[6,7],[8]] => {{1,2,3},{4,5},{6,7},{8}} => {{1,2,3,5},{4,7},{6},{8}}
[[1,6,8],[2,7],[3],[4],[5]] => {{1,6,8},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7,8},{5,6}}
[[1,5,8],[2,7],[3],[4],[6]] => {{1,5,8},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7,8},{6}}
[[1,4,8],[2,7],[3],[5],[6]] => {{1,4,8},{2,7},{3},{5},{6}} => {{1},{2},{3,4},{5,7,8},{6}}
[[1,2,8],[3,7],[4],[5],[6]] => {{1,2,8},{3,7},{4},{5},{6}} => {{1,2},{3},{4},{5,7,8},{6}}
[[1,5,8],[2,6],[3],[4],[7]] => {{1,5,8},{2,6},{3},{4},{7}} => {{1},{2},{3,6},{4,5},{7,8}}
[[1,2,8],[3,6],[4],[5],[7]] => {{1,2,8},{3,6},{4},{5},{7}} => {{1,2},{3},{4,6},{5},{7,8}}
[[1,2,8],[3,5],[4],[6],[7]] => {{1,2,8},{3,5},{4},{6},{7}} => {{1,2},{3,5},{4},{6},{7,8}}
[[1,3,8],[2,4],[5],[6],[7]] => {{1,3,8},{2,4},{5},{6},{7}} => {{1,4},{2,3},{5},{6},{7,8}}
[[1,2,8],[3,4],[5],[6],[7]] => {{1,2,8},{3,4},{5},{6},{7}} => {{1,2,4},{3},{5},{6},{7,8}}
[[1,6,7],[2,8],[3],[4],[5]] => {{1,6,7},{2,8},{3},{4},{5}} => {{1},{2},{3},{4,8},{5,6,7}}
[[1,3,4],[2,8],[5],[6],[7]] => {{1,3,4},{2,8},{5},{6},{7}} => {{1},{2,3,4},{5},{6,8},{7}}
[[1,2,4],[3,8],[5],[6],[7]] => {{1,2,4},{3,8},{5},{6},{7}} => {{1,2},{3,4},{5},{6,8},{7}}
[[1,4,7],[2,6],[3],[5],[8]] => {{1,4,7},{2,6},{3},{5},{8}} => {{1},{2},{3,4,6,7},{5},{8}}
[[1,4,7],[2,5],[3],[6],[8]] => {{1,4,7},{2,5},{3},{6},{8}} => {{1},{2,5},{3,4},{6,7},{8}}
[[1,3,7],[2,5],[4],[6],[8]] => {{1,3,7},{2,5},{4},{6},{8}} => {{1},{2,3,5},{4},{6,7},{8}}
[[1,3,7],[2,4],[5],[6],[8]] => {{1,3,7},{2,4},{5},{6},{8}} => {{1,4},{2,3},{5},{6,7},{8}}
[[1,4,6],[2,7],[3],[5],[8]] => {{1,4,6},{2,7},{3},{5},{8}} => {{1},{2},{3,4,7},{5,6},{8}}
[[1,2,6],[3,5],[4],[7],[8]] => {{1,2,6},{3,5},{4},{7},{8}} => {{1,2},{3,5,6},{4},{7},{8}}
[[1,2,6],[3,4],[5],[7],[8]] => {{1,2,6},{3,4},{5},{7},{8}} => {{1,2,4},{3},{5,6},{7},{8}}
[[1,2,3],[4,6],[5],[7],[8]] => {{1,2,3},{4,6},{5},{7},{8}} => {{1,2,3},{4,6},{5},{7},{8}}
[[1,3,5],[2,4],[6],[7],[8]] => {{1,3,5},{2,4},{6},{7},{8}} => {{1,4,5},{2,3},{6},{7},{8}}
[[1,2,5],[3,4],[6],[7],[8]] => {{1,2,5},{3,4},{6},{7},{8}} => {{1,2,4,5},{3},{6},{7},{8}}
[[1,2,4],[3,5],[6],[7],[8]] => {{1,2,4},{3,5},{6},{7},{8}} => {{1,2,5},{3,4},{6},{7},{8}}
[[1,2,3],[4,5],[6],[7],[8]] => {{1,2,3},{4,5},{6},{7},{8}} => {{1,2,3,5},{4},{6},{7},{8}}
[[1,7,8],[2],[3],[4],[5],[6]] => {{1,7,8},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7,8}}
[[1,6,8],[2],[3],[4],[5],[7]] => {{1,6,8},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7,8}}
[[1,5,8],[2],[3],[4],[6],[7]] => {{1,5,8},{2},{3},{4},{6},{7}} => {{1},{2},{3},{4,5},{6},{7,8}}
[[1,4,8],[2],[3],[5],[6],[7]] => {{1,4,8},{2},{3},{5},{6},{7}} => {{1},{2},{3,4},{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}}
[[1,2,8],[3],[4],[5],[6],[7]] => {{1,2,8},{3},{4},{5},{6},{7}} => {{1,2},{3},{4},{5},{6},{7,8}}
[[1,6,7],[2],[3],[4],[5],[8]] => {{1,6,7},{2},{3},{4},{5},{8}} => {{1},{2},{3},{4},{5,6,7},{8}}
[[1,5,7],[2],[3],[4],[6],[8]] => {{1,5,7},{2},{3},{4},{6},{8}} => {{1},{2},{3},{4,5},{6,7},{8}}
[[1,3,7],[2],[4],[5],[6],[8]] => {{1,3,7},{2},{4},{5},{6},{8}} => {{1},{2,3},{4},{5},{6,7},{8}}
[[1,2,7],[3],[4],[5],[6],[8]] => {{1,2,7},{3},{4},{5},{6},{8}} => {{1,2},{3},{4},{5},{6,7},{8}}
[[1,5,6],[2],[3],[4],[7],[8]] => {{1,5,6},{2},{3},{4},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[[1,4,6],[2],[3],[5],[7],[8]] => {{1,4,6},{2},{3},{5},{7},{8}} => {{1},{2},{3,4},{5,6},{7},{8}}
[[1,3,6],[2],[4],[5],[7],[8]] => {{1,3,6},{2},{4},{5},{7},{8}} => {{1},{2,3},{4},{5,6},{7},{8}}
[[1,2,6],[3],[4],[5],[7],[8]] => {{1,2,6},{3},{4},{5},{7},{8}} => {{1,2},{3},{4},{5,6},{7},{8}}
[[1,4,5],[2],[3],[6],[7],[8]] => {{1,4,5},{2},{3},{6},{7},{8}} => {{1},{2},{3,4,5},{6},{7},{8}}
[[1,3,5],[2],[4],[6],[7],[8]] => {{1,3,5},{2},{4},{6},{7},{8}} => {{1},{2,3},{4,5},{6},{7},{8}}
[[1,2,5],[3],[4],[6],[7],[8]] => {{1,2,5},{3},{4},{6},{7},{8}} => {{1,2},{3},{4,5},{6},{7},{8}}
[[1,3,4],[2],[5],[6],[7],[8]] => {{1,3,4},{2},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[[1,2,4],[3],[5],[6],[7],[8]] => {{1,2,4},{3},{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}} => {{1,2,3},{4},{5},{6},{7},{8}}
[[1,5],[2,6],[3,7],[4,8]] => {{1,5},{2,6},{3,7},{4,8}} => {{1,8},{2,7},{3,6},{4,5}}
[[1,4],[2,6],[3,7],[5,8]] => {{1,4},{2,6},{3,7},{5,8}} => {{1,8},{2,7},{3,4,6},{5}}
[[1,3],[2,6],[4,7],[5,8]] => {{1,3},{2,6},{4,7},{5,8}} => {{1,8},{2,3,7},{4,6},{5}}
[[1,2],[3,6],[4,7],[5,8]] => {{1,2},{3,6},{4,7},{5,8}} => {{1,2,8},{3,7},{4,6},{5}}
[[1,4],[2,5],[3,7],[6,8]] => {{1,4},{2,5},{3,7},{6,8}} => {{1,8},{2,5},{3,4,7},{6}}
[[1,3],[2,5],[4,7],[6,8]] => {{1,3},{2,5},{4,7},{6,8}} => {{1,8},{2,3,5},{4,7},{6}}
[[1,2],[3,5],[4,7],[6,8]] => {{1,2},{3,5},{4,7},{6,8}} => {{1,2,8},{3,5},{4,7},{6}}
[[1,3],[2,4],[5,7],[6,8]] => {{1,3},{2,4},{5,7},{6,8}} => {{1,4,7},{2,3,8},{5},{6}}
[[1,2],[3,4],[5,7],[6,8]] => {{1,2},{3,4},{5,7},{6,8}} => {{1,2,4,7},{3,8},{5},{6}}
[[1,4],[2,5],[3,6],[7,8]] => {{1,4},{2,5},{3,6},{7,8}} => {{1,6},{2,5},{3,4,8},{7}}
[[1,3],[2,5],[4,6],[7,8]] => {{1,3},{2,5},{4,6},{7,8}} => {{1,6},{2,3,5},{4,8},{7}}
[[1,2],[3,5],[4,6],[7,8]] => {{1,2},{3,5},{4,6},{7,8}} => {{1,2,6},{3,5},{4,8},{7}}
[[1,3],[2,4],[5,6],[7,8]] => {{1,3},{2,4},{5,6},{7,8}} => {{1,4,8},{2,3,6},{5},{7}}
[[1,2],[3,4],[5,6],[7,8]] => {{1,2},{3,4},{5,6},{7,8}} => {{1,2,4,8},{3,6},{5},{7}}
[[1,6],[2,7],[3,8],[4],[5]] => {{1,6},{2,7},{3,8},{4},{5}} => {{1},{2},{3,8},{4,7},{5,6}}
[[1,5],[2,7],[3,8],[4],[6]] => {{1,5},{2,7},{3,8},{4},{6}} => {{1},{2},{3,8},{4,5,7},{6}}
[[1,2],[3,7],[4,8],[5],[6]] => {{1,2},{3,7},{4,8},{5},{6}} => {{1,2},{3},{4,8},{5,7},{6}}
[[1,4],[2,6],[3,8],[5],[7]] => {{1,4},{2,6},{3,8},{5},{7}} => {{1},{2},{3,4,6},{5,8},{7}}
[[1,2],[3,5],[4,8],[6],[7]] => {{1,2},{3,5},{4,8},{6},{7}} => {{1,2},{3,5,8},{4},{6},{7}}
[[1,2],[3,4],[5,8],[6],[7]] => {{1,2},{3,4},{5,8},{6},{7}} => {{1,2,4},{3},{5,8},{6},{7}}
[[1,5],[2,6],[3,7],[4],[8]] => {{1,5},{2,6},{3,7},{4},{8}} => {{1},{2,7},{3,6},{4,5},{8}}
[[1,3],[2,6],[4,7],[5],[8]] => {{1,3},{2,6},{4,7},{5},{8}} => {{1},{2,3,7},{4,6},{5},{8}}
[[1,2],[3,6],[4,7],[5],[8]] => {{1,2},{3,6},{4,7},{5},{8}} => {{1,2},{3,7},{4,6},{5},{8}}
[[1,3],[2,5],[4,7],[6],[8]] => {{1,3},{2,5},{4,7},{6},{8}} => {{1},{2,3,5},{4,7},{6},{8}}
[[1,2],[3,4],[5,7],[6],[8]] => {{1,2},{3,4},{5,7},{6},{8}} => {{1,2,4,7},{3},{5},{6},{8}}
[[1,4],[2,5],[3,6],[7],[8]] => {{1,4},{2,5},{3,6},{7},{8}} => {{1,6},{2,5},{3,4},{7},{8}}
[[1,3],[2,5],[4,6],[7],[8]] => {{1,3},{2,5},{4,6},{7},{8}} => {{1,6},{2,3,5},{4},{7},{8}}
[[1,2],[3,4],[5,6],[7],[8]] => {{1,2},{3,4},{5,6},{7},{8}} => {{1,2,4},{3,6},{5},{7},{8}}
[[1,7],[2,8],[3],[4],[5],[6]] => {{1,7},{2,8},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,8},{6,7}}
[[1,6],[2,8],[3],[4],[5],[7]] => {{1,6},{2,8},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6,8},{7}}
[[1,4],[2,8],[3],[5],[6],[7]] => {{1,4},{2,8},{3},{5},{6},{7}} => {{1},{2},{3,4},{5},{6,8},{7}}
[[1,3],[2,8],[4],[5],[6],[7]] => {{1,3},{2,8},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6,8},{7}}
[[1,2],[3,8],[4],[5],[6],[7]] => {{1,2},{3,8},{4},{5},{6},{7}} => {{1,2},{3},{4},{5},{6,8},{7}}
[[1,5],[2,6],[3],[4],[7],[8]] => {{1,5},{2,6},{3},{4},{7},{8}} => {{1},{2},{3,6},{4,5},{7},{8}}
[[1,4],[2,6],[3],[5],[7],[8]] => {{1,4},{2,6},{3},{5},{7},{8}} => {{1},{2},{3,4,6},{5},{7},{8}}
[[1,2],[3,6],[4],[5],[7],[8]] => {{1,2},{3,6},{4},{5},{7},{8}} => {{1,2},{3},{4,6},{5},{7},{8}}
[[1,4],[2,5],[3],[6],[7],[8]] => {{1,4},{2,5},{3},{6},{7},{8}} => {{1},{2,5},{3,4},{6},{7},{8}}
[[1,2],[3,5],[4],[6],[7],[8]] => {{1,2},{3,5},{4},{6},{7},{8}} => {{1,2},{3,5},{4},{6},{7},{8}}
[[1,3],[2,4],[5],[6],[7],[8]] => {{1,3},{2,4},{5},{6},{7},{8}} => {{1,4},{2,3},{5},{6},{7},{8}}
[[1,2],[3,4],[5],[6],[7],[8]] => {{1,2},{3,4},{5},{6},{7},{8}} => {{1,2,4},{3},{5},{6},{7},{8}}
[[1,8],[2],[3],[4],[5],[6],[7]] => {{1,8},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7,8}}
[[1,7],[2],[3],[4],[5],[6],[8]] => {{1,7},{2},{3},{4},{5},{6},{8}} => {{1},{2},{3},{4},{5},{6,7},{8}}
[[1,6],[2],[3],[4],[5],[7],[8]] => {{1,6},{2},{3},{4},{5},{7},{8}} => {{1},{2},{3},{4},{5,6},{7},{8}}
[[1,5],[2],[3],[4],[6],[7],[8]] => {{1,5},{2},{3},{4},{6},{7},{8}} => {{1},{2},{3},{4,5},{6},{7},{8}}
[[1,4],[2],[3],[5],[6],[7],[8]] => {{1,4},{2},{3},{5},{6},{7},{8}} => {{1},{2},{3,4},{5},{6},{7},{8}}
[[1,3],[2],[4],[5],[6],[7],[8]] => {{1,3},{2},{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}} => {{1,2},{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}}
[[1,3,5,7,9],[2,4,6,8,10]] => {{1,3,5,7,9},{2,4,6,8,10}} => {{1,4,5,8,9},{2,3,6,7,10}}
[[1,3,5,7,8],[2,4,6,9,10]] => {{1,3,5,7,8},{2,4,6,9,10}} => {{1,4,5,9},{2,3,6,7,8,10}}
[[1,3,5,6,9],[2,4,7,8,10]] => {{1,3,5,6,9},{2,4,7,8,10}} => {{1,4,5,6,8,9},{2,3,7,10}}
[[1,3,5,6,8],[2,4,7,9,10]] => {{1,3,5,6,8},{2,4,7,9,10}} => {{1,4,5,6,9},{2,3,7,8,10}}
[[1,3,5,6,7],[2,4,8,9,10]] => {{1,3,5,6,7},{2,4,8,9,10}} => {{1,4,5,6,7,9},{2,3,8,10}}
[[1,3,4,7,9],[2,5,6,8,10]] => {{1,3,4,7,9},{2,5,6,8,10}} => {{1,5,8,9},{2,3,4,6,7,10}}
[[1,3,4,7,8],[2,5,6,9,10]] => {{1,3,4,7,8},{2,5,6,9,10}} => {{1,5,9},{2,3,4,6,7,8,10}}
[[1,3,4,6,9],[2,5,7,8,10]] => {{1,3,4,6,9},{2,5,7,8,10}} => {{1,5,6,8,9},{2,3,4,7,10}}
[[1,3,4,6,8],[2,5,7,9,10]] => {{1,3,4,6,8},{2,5,7,9,10}} => {{1,5,6,9},{2,3,4,7,8,10}}
[[1,3,4,6,7],[2,5,8,9,10]] => {{1,3,4,6,7},{2,5,8,9,10}} => {{1,5,6,7,9},{2,3,4,8,10}}
[[1,3,4,5,9],[2,6,7,8,10]] => {{1,3,4,5,9},{2,6,7,8,10}} => {{1,6,8,9},{2,3,4,5,7,10}}
[[1,3,4,5,8],[2,6,7,9,10]] => {{1,3,4,5,8},{2,6,7,9,10}} => {{1,6,9},{2,3,4,5,7,8,10}}
[[1,3,4,5,7],[2,6,8,9,10]] => {{1,3,4,5,7},{2,6,8,9,10}} => {{1,6,7,9},{2,3,4,5,8,10}}
[[1,3,4,5,6],[2,7,8,9,10]] => {{1,3,4,5,6},{2,7,8,9,10}} => {{1,7,9},{2,3,4,5,6,8,10}}
[[1,2,5,7,9],[3,4,6,8,10]] => {{1,2,5,7,9},{3,4,6,8,10}} => {{1,2,4,5,8,9},{3,6,7,10}}
[[1,2,5,7,8],[3,4,6,9,10]] => {{1,2,5,7,8},{3,4,6,9,10}} => {{1,2,4,5,9},{3,6,7,8,10}}
[[1,2,5,6,9],[3,4,7,8,10]] => {{1,2,5,6,9},{3,4,7,8,10}} => {{1,2,4,5,6,8,9},{3,7,10}}
[[1,2,5,6,8],[3,4,7,9,10]] => {{1,2,5,6,8},{3,4,7,9,10}} => {{1,2,4,5,6,9},{3,7,8,10}}
[[1,2,5,6,7],[3,4,8,9,10]] => {{1,2,5,6,7},{3,4,8,9,10}} => {{1,2,4,5,6,7,9},{3,8,10}}
[[1,2,4,7,9],[3,5,6,8,10]] => {{1,2,4,7,9},{3,5,6,8,10}} => {{1,2,5,8,9},{3,4,6,7,10}}
[[1,2,4,7,8],[3,5,6,9,10]] => {{1,2,4,7,8},{3,5,6,9,10}} => {{1,2,5,9},{3,4,6,7,8,10}}
[[1,2,4,6,9],[3,5,7,8,10]] => {{1,2,4,6,9},{3,5,7,8,10}} => {{1,2,5,6,8,9},{3,4,7,10}}
[[1,2,4,6,8],[3,5,7,9,10]] => {{1,2,4,6,8},{3,5,7,9,10}} => {{1,2,5,6,9},{3,4,7,8,10}}
[[1,2,4,6,7],[3,5,8,9,10]] => {{1,2,4,6,7},{3,5,8,9,10}} => {{1,2,5,6,7,9},{3,4,8,10}}
[[1,2,4,5,9],[3,6,7,8,10]] => {{1,2,4,5,9},{3,6,7,8,10}} => {{1,2,6,8,9},{3,4,5,7,10}}
[[1,2,4,5,8],[3,6,7,9,10]] => {{1,2,4,5,8},{3,6,7,9,10}} => {{1,2,6,9},{3,4,5,7,8,10}}
[[1,2,4,5,7],[3,6,8,9,10]] => {{1,2,4,5,7},{3,6,8,9,10}} => {{1,2,6,7,9},{3,4,5,8,10}}
[[1,2,4,5,6],[3,7,8,9,10]] => {{1,2,4,5,6},{3,7,8,9,10}} => {{1,2,7,9},{3,4,5,6,8,10}}
[[1,2,3,7,9],[4,5,6,8,10]] => {{1,2,3,7,9},{4,5,6,8,10}} => {{1,2,3,5,8,9},{4,6,7,10}}
[[1,2,3,7,8],[4,5,6,9,10]] => {{1,2,3,7,8},{4,5,6,9,10}} => {{1,2,3,5,9},{4,6,7,8,10}}
[[1,2,3,6,9],[4,5,7,8,10]] => {{1,2,3,6,9},{4,5,7,8,10}} => {{1,2,3,5,6,8,9},{4,7,10}}
[[1,2,3,6,8],[4,5,7,9,10]] => {{1,2,3,6,8},{4,5,7,9,10}} => {{1,2,3,5,6,9},{4,7,8,10}}
[[1,2,3,6,7],[4,5,8,9,10]] => {{1,2,3,6,7},{4,5,8,9,10}} => {{1,2,3,5,6,7,9},{4,8,10}}
[[1,2,3,5,9],[4,6,7,8,10]] => {{1,2,3,5,9},{4,6,7,8,10}} => {{1,2,3,6,8,9},{4,5,7,10}}
[[1,2,3,5,8],[4,6,7,9,10]] => {{1,2,3,5,8},{4,6,7,9,10}} => {{1,2,3,6,9},{4,5,7,8,10}}
[[1,2,3,5,7],[4,6,8,9,10]] => {{1,2,3,5,7},{4,6,8,9,10}} => {{1,2,3,6,7,9},{4,5,8,10}}
[[1,2,3,5,6],[4,7,8,9,10]] => {{1,2,3,5,6},{4,7,8,9,10}} => {{1,2,3,7,9},{4,5,6,8,10}}
[[1,2,3,4,9],[5,6,7,8,10]] => {{1,2,3,4,9},{5,6,7,8,10}} => {{1,2,3,4,6,8,9},{5,7,10}}
[[1,2,3,4,8],[5,6,7,9,10]] => {{1,2,3,4,8},{5,6,7,9,10}} => {{1,2,3,4,6,9},{5,7,8,10}}
[[1,2,3,4,7],[5,6,8,9,10]] => {{1,2,3,4,7},{5,6,8,9,10}} => {{1,2,3,4,6,7,9},{5,8,10}}
[[1,2,3,4,6],[5,7,8,9,10]] => {{1,2,3,4,6},{5,7,8,9,10}} => {{1,2,3,4,7,9},{5,6,8,10}}
[[1,2,3,4,5],[6,7,8,9,10]] => {{1,2,3,4,5},{6,7,8,9,10}} => {{1,2,3,4,5,7,9},{6,8,10}}
[[1,3,5,7,9,11],[2,4,6,8,10,12]] => {{1,3,5,7,9,11},{2,4,6,8,10,12}} => {{1,4,5,8,9,12},{2,3,6,7,10,11}}
[[1,3,5,7,9,10],[2,4,6,8,11,12]] => {{1,3,5,7,9,10},{2,4,6,8,11,12}} => {{1,4,5,8,9,10,12},{2,3,6,7,11}}
[[1,3,5,7,8,11],[2,4,6,9,10,12]] => {{1,3,5,7,8,11},{2,4,6,9,10,12}} => {{1,4,5,9,12},{2,3,6,7,8,10,11}}
[[1,3,5,7,8,10],[2,4,6,9,11,12]] => {{1,3,5,7,8,10},{2,4,6,9,11,12}} => {{1,4,5,9,10,12},{2,3,6,7,8,11}}
[[1,3,5,7,8,9],[2,4,6,10,11,12]] => {{1,3,5,7,8,9},{2,4,6,10,11,12}} => {{1,4,5,10,12},{2,3,6,7,8,9,11}}
[[1,3,5,6,9,11],[2,4,7,8,10,12]] => {{1,3,5,6,9,11},{2,4,7,8,10,12}} => {{1,4,5,6,8,9,12},{2,3,7,10,11}}
[[1,3,5,6,9,10],[2,4,7,8,11,12]] => {{1,3,5,6,9,10},{2,4,7,8,11,12}} => {{1,4,5,6,8,9,10,12},{2,3,7,11}}
[[1,3,5,6,8,11],[2,4,7,9,10,12]] => {{1,3,5,6,8,11},{2,4,7,9,10,12}} => {{1,4,5,6,9,12},{2,3,7,8,10,11}}
[[1,3,5,6,8,10],[2,4,7,9,11,12]] => {{1,3,5,6,8,10},{2,4,7,9,11,12}} => {{1,4,5,6,9,10,12},{2,3,7,8,11}}
[[1,3,5,6,8,9],[2,4,7,10,11,12]] => {{1,3,5,6,8,9},{2,4,7,10,11,12}} => {{1,4,5,6,10,12},{2,3,7,8,9,11}}
[[1,3,5,6,7,11],[2,4,8,9,10,12]] => {{1,3,5,6,7,11},{2,4,8,9,10,12}} => {{1,4,5,6,7,9,12},{2,3,8,10,11}}
[[1,3,5,6,7,10],[2,4,8,9,11,12]] => {{1,3,5,6,7,10},{2,4,8,9,11,12}} => {{1,4,5,6,7,9,10,12},{2,3,8,11}}
[[1,3,5,6,7,9],[2,4,8,10,11,12]] => {{1,3,5,6,7,9},{2,4,8,10,11,12}} => {{1,4,5,6,7,10,12},{2,3,8,9,11}}
[[1,3,5,6,7,8],[2,4,9,10,11,12]] => {{1,3,5,6,7,8},{2,4,9,10,11,12}} => {{1,4,5,6,7,8,10,12},{2,3,9,11}}
[[1,3,4,7,9,11],[2,5,6,8,10,12]] => {{1,3,4,7,9,11},{2,5,6,8,10,12}} => {{1,5,8,9,12},{2,3,4,6,7,10,11}}
[[1,3,4,7,9,10],[2,5,6,8,11,12]] => {{1,3,4,7,9,10},{2,5,6,8,11,12}} => {{1,5,8,9,10,12},{2,3,4,6,7,11}}
[[1,3,4,7,8,11],[2,5,6,9,10,12]] => {{1,3,4,7,8,11},{2,5,6,9,10,12}} => {{1,5,9,12},{2,3,4,6,7,8,10,11}}
[[1,3,4,7,8,10],[2,5,6,9,11,12]] => {{1,3,4,7,8,10},{2,5,6,9,11,12}} => {{1,5,9,10,12},{2,3,4,6,7,8,11}}
[[1,3,4,7,8,9],[2,5,6,10,11,12]] => {{1,3,4,7,8,9},{2,5,6,10,11,12}} => {{1,5,10,12},{2,3,4,6,7,8,9,11}}
[[1,3,4,6,9,11],[2,5,7,8,10,12]] => {{1,3,4,6,9,11},{2,5,7,8,10,12}} => {{1,5,6,8,9,12},{2,3,4,7,10,11}}
[[1,3,4,6,9,10],[2,5,7,8,11,12]] => {{1,3,4,6,9,10},{2,5,7,8,11,12}} => {{1,5,6,8,9,10,12},{2,3,4,7,11}}
[[1,3,4,6,8,11],[2,5,7,9,10,12]] => {{1,3,4,6,8,11},{2,5,7,9,10,12}} => {{1,5,6,9,12},{2,3,4,7,8,10,11}}
[[1,3,4,6,8,10],[2,5,7,9,11,12]] => {{1,3,4,6,8,10},{2,5,7,9,11,12}} => {{1,5,6,9,10,12},{2,3,4,7,8,11}}
[[1,3,4,6,8,9],[2,5,7,10,11,12]] => {{1,3,4,6,8,9},{2,5,7,10,11,12}} => {{1,5,6,10,12},{2,3,4,7,8,9,11}}
[[1,3,4,6,7,11],[2,5,8,9,10,12]] => {{1,3,4,6,7,11},{2,5,8,9,10,12}} => {{1,5,6,7,9,12},{2,3,4,8,10,11}}
[[1,3,4,6,7,10],[2,5,8,9,11,12]] => {{1,3,4,6,7,10},{2,5,8,9,11,12}} => {{1,5,6,7,9,10,12},{2,3,4,8,11}}
[[1,3,4,6,7,9],[2,5,8,10,11,12]] => {{1,3,4,6,7,9},{2,5,8,10,11,12}} => {{1,5,6,7,10,12},{2,3,4,8,9,11}}
[[1,3,4,6,7,8],[2,5,9,10,11,12]] => {{1,3,4,6,7,8},{2,5,9,10,11,12}} => {{1,5,6,7,8,10,12},{2,3,4,9,11}}
[[1,3,4,5,9,11],[2,6,7,8,10,12]] => {{1,3,4,5,9,11},{2,6,7,8,10,12}} => {{1,6,8,9,12},{2,3,4,5,7,10,11}}
[[1,3,4,5,9,10],[2,6,7,8,11,12]] => {{1,3,4,5,9,10},{2,6,7,8,11,12}} => {{1,6,8,9,10,12},{2,3,4,5,7,11}}
[[1,3,4,5,8,11],[2,6,7,9,10,12]] => {{1,3,4,5,8,11},{2,6,7,9,10,12}} => {{1,6,9,12},{2,3,4,5,7,8,10,11}}
[[1,3,4,5,8,10],[2,6,7,9,11,12]] => {{1,3,4,5,8,10},{2,6,7,9,11,12}} => {{1,6,9,10,12},{2,3,4,5,7,8,11}}
[[1,3,4,5,8,9],[2,6,7,10,11,12]] => {{1,3,4,5,8,9},{2,6,7,10,11,12}} => {{1,6,10,12},{2,3,4,5,7,8,9,11}}
[[1,3,4,5,7,11],[2,6,8,9,10,12]] => {{1,3,4,5,7,11},{2,6,8,9,10,12}} => {{1,6,7,9,12},{2,3,4,5,8,10,11}}
[[1,3,4,5,7,10],[2,6,8,9,11,12]] => {{1,3,4,5,7,10},{2,6,8,9,11,12}} => {{1,6,7,9,10,12},{2,3,4,5,8,11}}
[[1,3,4,5,7,9],[2,6,8,10,11,12]] => {{1,3,4,5,7,9},{2,6,8,10,11,12}} => {{1,6,7,10,12},{2,3,4,5,8,9,11}}
[[1,3,4,5,7,8],[2,6,9,10,11,12]] => {{1,3,4,5,7,8},{2,6,9,10,11,12}} => {{1,6,7,8,10,12},{2,3,4,5,9,11}}
[[1,3,4,5,6,11],[2,7,8,9,10,12]] => {{1,3,4,5,6,11},{2,7,8,9,10,12}} => {{1,7,9,12},{2,3,4,5,6,8,10,11}}
[[1,3,4,5,6,10],[2,7,8,9,11,12]] => {{1,3,4,5,6,10},{2,7,8,9,11,12}} => {{1,7,9,10,12},{2,3,4,5,6,8,11}}
[[1,3,4,5,6,9],[2,7,8,10,11,12]] => {{1,3,4,5,6,9},{2,7,8,10,11,12}} => {{1,7,10,12},{2,3,4,5,6,8,9,11}}
[[1,3,4,5,6,8],[2,7,9,10,11,12]] => {{1,3,4,5,6,8},{2,7,9,10,11,12}} => {{1,7,8,10,12},{2,3,4,5,6,9,11}}
[[1,3,4,5,6,7],[2,8,9,10,11,12]] => {{1,3,4,5,6,7},{2,8,9,10,11,12}} => {{1,8,10,12},{2,3,4,5,6,7,9,11}}
[[1,2,5,7,9,11],[3,4,6,8,10,12]] => {{1,2,5,7,9,11},{3,4,6,8,10,12}} => {{1,2,4,5,8,9,12},{3,6,7,10,11}}
[[1,2,5,7,9,10],[3,4,6,8,11,12]] => {{1,2,5,7,9,10},{3,4,6,8,11,12}} => {{1,2,4,5,8,9,10,12},{3,6,7,11}}
[[1,2,5,7,8,11],[3,4,6,9,10,12]] => {{1,2,5,7,8,11},{3,4,6,9,10,12}} => {{1,2,4,5,9,12},{3,6,7,8,10,11}}
[[1,2,5,7,8,10],[3,4,6,9,11,12]] => {{1,2,5,7,8,10},{3,4,6,9,11,12}} => {{1,2,4,5,9,10,12},{3,6,7,8,11}}
[[1,2,5,7,8,9],[3,4,6,10,11,12]] => {{1,2,5,7,8,9},{3,4,6,10,11,12}} => {{1,2,4,5,10,12},{3,6,7,8,9,11}}
[[1,2,5,6,9,11],[3,4,7,8,10,12]] => {{1,2,5,6,9,11},{3,4,7,8,10,12}} => {{1,2,4,5,6,8,9,12},{3,7,10,11}}
[[1,2,5,6,9,10],[3,4,7,8,11,12]] => {{1,2,5,6,9,10},{3,4,7,8,11,12}} => {{1,2,4,5,6,8,9,10,12},{3,7,11}}
[[1,2,5,6,8,11],[3,4,7,9,10,12]] => {{1,2,5,6,8,11},{3,4,7,9,10,12}} => {{1,2,4,5,6,9,12},{3,7,8,10,11}}
[[1,2,5,6,8,10],[3,4,7,9,11,12]] => {{1,2,5,6,8,10},{3,4,7,9,11,12}} => {{1,2,4,5,6,9,10,12},{3,7,8,11}}
[[1,2,5,6,8,9],[3,4,7,10,11,12]] => {{1,2,5,6,8,9},{3,4,7,10,11,12}} => {{1,2,4,5,6,10,12},{3,7,8,9,11}}
[[1,2,5,6,7,11],[3,4,8,9,10,12]] => {{1,2,5,6,7,11},{3,4,8,9,10,12}} => {{1,2,4,5,6,7,9,12},{3,8,10,11}}
[[1,2,5,6,7,10],[3,4,8,9,11,12]] => {{1,2,5,6,7,10},{3,4,8,9,11,12}} => {{1,2,4,5,6,7,9,10,12},{3,8,11}}
[[1,2,5,6,7,9],[3,4,8,10,11,12]] => {{1,2,5,6,7,9},{3,4,8,10,11,12}} => {{1,2,4,5,6,7,10,12},{3,8,9,11}}
[[1,2,5,6,7,8],[3,4,9,10,11,12]] => {{1,2,5,6,7,8},{3,4,9,10,11,12}} => {{1,2,4,5,6,7,8,10,12},{3,9,11}}
[[1,2,4,7,9,11],[3,5,6,8,10,12]] => {{1,2,4,7,9,11},{3,5,6,8,10,12}} => {{1,2,5,8,9,12},{3,4,6,7,10,11}}
[[1,2,4,7,9,10],[3,5,6,8,11,12]] => {{1,2,4,7,9,10},{3,5,6,8,11,12}} => {{1,2,5,8,9,10,12},{3,4,6,7,11}}
[[1,2,4,7,8,11],[3,5,6,9,10,12]] => {{1,2,4,7,8,11},{3,5,6,9,10,12}} => {{1,2,5,9,12},{3,4,6,7,8,10,11}}
[[1,2,4,7,8,10],[3,5,6,9,11,12]] => {{1,2,4,7,8,10},{3,5,6,9,11,12}} => {{1,2,5,9,10,12},{3,4,6,7,8,11}}
[[1,2,4,7,8,9],[3,5,6,10,11,12]] => {{1,2,4,7,8,9},{3,5,6,10,11,12}} => {{1,2,5,10,12},{3,4,6,7,8,9,11}}
[[1,2,4,6,9,11],[3,5,7,8,10,12]] => {{1,2,4,6,9,11},{3,5,7,8,10,12}} => {{1,2,5,6,8,9,12},{3,4,7,10,11}}
[[1,2,4,6,9,10],[3,5,7,8,11,12]] => {{1,2,4,6,9,10},{3,5,7,8,11,12}} => {{1,2,5,6,8,9,10,12},{3,4,7,11}}
[[1,2,4,6,8,11],[3,5,7,9,10,12]] => {{1,2,4,6,8,11},{3,5,7,9,10,12}} => {{1,2,5,6,9,12},{3,4,7,8,10,11}}
[[1,2,4,6,8,10],[3,5,7,9,11,12]] => {{1,2,4,6,8,10},{3,5,7,9,11,12}} => {{1,2,5,6,9,10,12},{3,4,7,8,11}}
[[1,2,4,6,8,9],[3,5,7,10,11,12]] => {{1,2,4,6,8,9},{3,5,7,10,11,12}} => {{1,2,5,6,10,12},{3,4,7,8,9,11}}
[[1,2,4,6,7,11],[3,5,8,9,10,12]] => {{1,2,4,6,7,11},{3,5,8,9,10,12}} => {{1,2,5,6,7,9,12},{3,4,8,10,11}}
[[1,2,4,6,7,10],[3,5,8,9,11,12]] => {{1,2,4,6,7,10},{3,5,8,9,11,12}} => {{1,2,5,6,7,9,10,12},{3,4,8,11}}
[[1,2,4,6,7,9],[3,5,8,10,11,12]] => {{1,2,4,6,7,9},{3,5,8,10,11,12}} => {{1,2,5,6,7,10,12},{3,4,8,9,11}}
[[1,2,4,6,7,8],[3,5,9,10,11,12]] => {{1,2,4,6,7,8},{3,5,9,10,11,12}} => {{1,2,5,6,7,8,10,12},{3,4,9,11}}
[[1,2,4,5,9,11],[3,6,7,8,10,12]] => {{1,2,4,5,9,11},{3,6,7,8,10,12}} => {{1,2,6,8,9,12},{3,4,5,7,10,11}}
[[1,2,4,5,9,10],[3,6,7,8,11,12]] => {{1,2,4,5,9,10},{3,6,7,8,11,12}} => {{1,2,6,8,9,10,12},{3,4,5,7,11}}
[[1,2,4,5,8,11],[3,6,7,9,10,12]] => {{1,2,4,5,8,11},{3,6,7,9,10,12}} => {{1,2,6,9,12},{3,4,5,7,8,10,11}}
[[1,2,4,5,8,10],[3,6,7,9,11,12]] => {{1,2,4,5,8,10},{3,6,7,9,11,12}} => {{1,2,6,9,10,12},{3,4,5,7,8,11}}
[[1,2,4,5,8,9],[3,6,7,10,11,12]] => {{1,2,4,5,8,9},{3,6,7,10,11,12}} => {{1,2,6,10,12},{3,4,5,7,8,9,11}}
[[1,2,4,5,7,11],[3,6,8,9,10,12]] => {{1,2,4,5,7,11},{3,6,8,9,10,12}} => {{1,2,6,7,9,12},{3,4,5,8,10,11}}
[[1,2,4,5,7,10],[3,6,8,9,11,12]] => {{1,2,4,5,7,10},{3,6,8,9,11,12}} => {{1,2,6,7,9,10,12},{3,4,5,8,11}}
[[1,2,4,5,7,9],[3,6,8,10,11,12]] => {{1,2,4,5,7,9},{3,6,8,10,11,12}} => {{1,2,6,7,10,12},{3,4,5,8,9,11}}
[[1,2,4,5,7,8],[3,6,9,10,11,12]] => {{1,2,4,5,7,8},{3,6,9,10,11,12}} => {{1,2,6,7,8,10,12},{3,4,5,9,11}}
[[1,2,4,5,6,11],[3,7,8,9,10,12]] => {{1,2,4,5,6,11},{3,7,8,9,10,12}} => {{1,2,7,9,12},{3,4,5,6,8,10,11}}
[[1,2,4,5,6,10],[3,7,8,9,11,12]] => {{1,2,4,5,6,10},{3,7,8,9,11,12}} => {{1,2,7,9,10,12},{3,4,5,6,8,11}}
[[1,2,4,5,6,9],[3,7,8,10,11,12]] => {{1,2,4,5,6,9},{3,7,8,10,11,12}} => {{1,2,7,10,12},{3,4,5,6,8,9,11}}
[[1,2,4,5,6,8],[3,7,9,10,11,12]] => {{1,2,4,5,6,8},{3,7,9,10,11,12}} => {{1,2,7,8,10,12},{3,4,5,6,9,11}}
[[1,2,4,5,6,7],[3,8,9,10,11,12]] => {{1,2,4,5,6,7},{3,8,9,10,11,12}} => {{1,2,8,10,12},{3,4,5,6,7,9,11}}
[[1,2,3,7,9,11],[4,5,6,8,10,12]] => {{1,2,3,7,9,11},{4,5,6,8,10,12}} => {{1,2,3,5,8,9,12},{4,6,7,10,11}}
[[1,2,3,7,9,10],[4,5,6,8,11,12]] => {{1,2,3,7,9,10},{4,5,6,8,11,12}} => {{1,2,3,5,8,9,10,12},{4,6,7,11}}
[[1,2,3,7,8,11],[4,5,6,9,10,12]] => {{1,2,3,7,8,11},{4,5,6,9,10,12}} => {{1,2,3,5,9,12},{4,6,7,8,10,11}}
[[1,2,3,7,8,10],[4,5,6,9,11,12]] => {{1,2,3,7,8,10},{4,5,6,9,11,12}} => {{1,2,3,5,9,10,12},{4,6,7,8,11}}
[[1,2,3,7,8,9],[4,5,6,10,11,12]] => {{1,2,3,7,8,9},{4,5,6,10,11,12}} => {{1,2,3,5,10,12},{4,6,7,8,9,11}}
[[1,2,3,6,9,11],[4,5,7,8,10,12]] => {{1,2,3,6,9,11},{4,5,7,8,10,12}} => {{1,2,3,5,6,8,9,12},{4,7,10,11}}
[[1,2,3,6,9,10],[4,5,7,8,11,12]] => {{1,2,3,6,9,10},{4,5,7,8,11,12}} => {{1,2,3,5,6,8,9,10,12},{4,7,11}}
[[1,2,3,6,8,11],[4,5,7,9,10,12]] => {{1,2,3,6,8,11},{4,5,7,9,10,12}} => {{1,2,3,5,6,9,12},{4,7,8,10,11}}
[[1,2,3,6,8,10],[4,5,7,9,11,12]] => {{1,2,3,6,8,10},{4,5,7,9,11,12}} => {{1,2,3,5,6,9,10,12},{4,7,8,11}}
[[1,2,3,6,8,9],[4,5,7,10,11,12]] => {{1,2,3,6,8,9},{4,5,7,10,11,12}} => {{1,2,3,5,6,10,12},{4,7,8,9,11}}
[[1,2,3,6,7,11],[4,5,8,9,10,12]] => {{1,2,3,6,7,11},{4,5,8,9,10,12}} => {{1,2,3,5,6,7,9,12},{4,8,10,11}}
[[1,2,3,6,7,10],[4,5,8,9,11,12]] => {{1,2,3,6,7,10},{4,5,8,9,11,12}} => {{1,2,3,5,6,7,9,10,12},{4,8,11}}
[[1,2,3,6,7,9],[4,5,8,10,11,12]] => {{1,2,3,6,7,9},{4,5,8,10,11,12}} => {{1,2,3,5,6,7,10,12},{4,8,9,11}}
[[1,2,3,6,7,8],[4,5,9,10,11,12]] => {{1,2,3,6,7,8},{4,5,9,10,11,12}} => {{1,2,3,5,6,7,8,10,12},{4,9,11}}
[[1,2,3,5,9,11],[4,6,7,8,10,12]] => {{1,2,3,5,9,11},{4,6,7,8,10,12}} => {{1,2,3,6,8,9,12},{4,5,7,10,11}}
[[1,2,3,5,9,10],[4,6,7,8,11,12]] => {{1,2,3,5,9,10},{4,6,7,8,11,12}} => {{1,2,3,6,8,9,10,12},{4,5,7,11}}
[[1,2,3,5,8,11],[4,6,7,9,10,12]] => {{1,2,3,5,8,11},{4,6,7,9,10,12}} => {{1,2,3,6,9,12},{4,5,7,8,10,11}}
[[1,2,3,5,8,10],[4,6,7,9,11,12]] => {{1,2,3,5,8,10},{4,6,7,9,11,12}} => {{1,2,3,6,9,10,12},{4,5,7,8,11}}
[[1,2,3,5,8,9],[4,6,7,10,11,12]] => {{1,2,3,5,8,9},{4,6,7,10,11,12}} => {{1,2,3,6,10,12},{4,5,7,8,9,11}}
[[1,2,3,5,7,11],[4,6,8,9,10,12]] => {{1,2,3,5,7,11},{4,6,8,9,10,12}} => {{1,2,3,6,7,9,12},{4,5,8,10,11}}
[[1,2,3,5,7,10],[4,6,8,9,11,12]] => {{1,2,3,5,7,10},{4,6,8,9,11,12}} => {{1,2,3,6,7,9,10,12},{4,5,8,11}}
[[1,2,3,5,7,9],[4,6,8,10,11,12]] => {{1,2,3,5,7,9},{4,6,8,10,11,12}} => {{1,2,3,6,7,10,12},{4,5,8,9,11}}
[[1,2,3,5,7,8],[4,6,9,10,11,12]] => {{1,2,3,5,7,8},{4,6,9,10,11,12}} => {{1,2,3,6,7,8,10,12},{4,5,9,11}}
[[1,2,3,5,6,11],[4,7,8,9,10,12]] => {{1,2,3,5,6,11},{4,7,8,9,10,12}} => {{1,2,3,7,9,12},{4,5,6,8,10,11}}
[[1,2,3,5,6,10],[4,7,8,9,11,12]] => {{1,2,3,5,6,10},{4,7,8,9,11,12}} => {{1,2,3,7,9,10,12},{4,5,6,8,11}}
[[1,2,3,5,6,9],[4,7,8,10,11,12]] => {{1,2,3,5,6,9},{4,7,8,10,11,12}} => {{1,2,3,7,10,12},{4,5,6,8,9,11}}
[[1,2,3,5,6,8],[4,7,9,10,11,12]] => {{1,2,3,5,6,8},{4,7,9,10,11,12}} => {{1,2,3,7,8,10,12},{4,5,6,9,11}}
[[1,2,3,5,6,7],[4,8,9,10,11,12]] => {{1,2,3,5,6,7},{4,8,9,10,11,12}} => {{1,2,3,8,10,12},{4,5,6,7,9,11}}
[[1,2,3,4,9,11],[5,6,7,8,10,12]] => {{1,2,3,4,9,11},{5,6,7,8,10,12}} => {{1,2,3,4,6,8,9,12},{5,7,10,11}}
[[1,2,3,4,9,10],[5,6,7,8,11,12]] => {{1,2,3,4,9,10},{5,6,7,8,11,12}} => {{1,2,3,4,6,8,9,10,12},{5,7,11}}
[[1,2,3,4,8,11],[5,6,7,9,10,12]] => {{1,2,3,4,8,11},{5,6,7,9,10,12}} => {{1,2,3,4,6,9,12},{5,7,8,10,11}}
[[1,2,3,4,8,10],[5,6,7,9,11,12]] => {{1,2,3,4,8,10},{5,6,7,9,11,12}} => {{1,2,3,4,6,9,10,12},{5,7,8,11}}
[[1,2,3,4,8,9],[5,6,7,10,11,12]] => {{1,2,3,4,8,9},{5,6,7,10,11,12}} => {{1,2,3,4,6,10,12},{5,7,8,9,11}}
[[1,2,3,4,7,11],[5,6,8,9,10,12]] => {{1,2,3,4,7,11},{5,6,8,9,10,12}} => {{1,2,3,4,6,7,9,12},{5,8,10,11}}
[[1,2,3,4,7,10],[5,6,8,9,11,12]] => {{1,2,3,4,7,10},{5,6,8,9,11,12}} => {{1,2,3,4,6,7,9,10,12},{5,8,11}}
[[1,2,3,4,7,9],[5,6,8,10,11,12]] => {{1,2,3,4,7,9},{5,6,8,10,11,12}} => {{1,2,3,4,6,7,10,12},{5,8,9,11}}
[[1,2,3,4,7,8],[5,6,9,10,11,12]] => {{1,2,3,4,7,8},{5,6,9,10,11,12}} => {{1,2,3,4,6,7,8,10,12},{5,9,11}}
[[1,2,3,4,6,11],[5,7,8,9,10,12]] => {{1,2,3,4,6,11},{5,7,8,9,10,12}} => {{1,2,3,4,7,9,12},{5,6,8,10,11}}
[[1,2,3,4,6,10],[5,7,8,9,11,12]] => {{1,2,3,4,6,10},{5,7,8,9,11,12}} => {{1,2,3,4,7,9,10,12},{5,6,8,11}}
[[1,2,3,4,6,9],[5,7,8,10,11,12]] => {{1,2,3,4,6,9},{5,7,8,10,11,12}} => {{1,2,3,4,7,10,12},{5,6,8,9,11}}
[[1,2,3,4,6,8],[5,7,9,10,11,12]] => {{1,2,3,4,6,8},{5,7,9,10,11,12}} => {{1,2,3,4,7,8,10,12},{5,6,9,11}}
[[1,2,3,4,6,7],[5,8,9,10,11,12]] => {{1,2,3,4,6,7},{5,8,9,10,11,12}} => {{1,2,3,4,8,10,12},{5,6,7,9,11}}
[[1,2,3,4,5,11],[6,7,8,9,10,12]] => {{1,2,3,4,5,11},{6,7,8,9,10,12}} => {{1,2,3,4,5,7,9,12},{6,8,10,11}}
[[1,2,3,4,5,10],[6,7,8,9,11,12]] => {{1,2,3,4,5,10},{6,7,8,9,11,12}} => {{1,2,3,4,5,7,9,10,12},{6,8,11}}
[[1,2,3,4,5,9],[6,7,8,10,11,12]] => {{1,2,3,4,5,9},{6,7,8,10,11,12}} => {{1,2,3,4,5,7,10,12},{6,8,9,11}}
[[1,2,3,4,5,8],[6,7,9,10,11,12]] => {{1,2,3,4,5,8},{6,7,9,10,11,12}} => {{1,2,3,4,5,7,8,10,12},{6,9,11}}
[[1,2,3,4,5,7],[6,8,9,10,11,12]] => {{1,2,3,4,5,7},{6,8,9,10,11,12}} => {{1,2,3,4,5,8,10,12},{6,7,9,11}}
[[1,2,3,4,5,6],[7,8,9,10,11,12]] => {{1,2,3,4,5,6},{7,8,9,10,11,12}} => {{1,2,3,4,5,6,8,10,12},{7,9,11}}
[[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],[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}} => {{1,2,3,4,5,6,8},{7,9}}
[[1,2,3,4,5,6],[7,8],[9]] => {{1,2,3,4,5,6},{7,8},{9}} => {{1,2,3,4,5,6,8},{7},{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}} => {{1,2,3,4,5,7,9},{6,8}}
[[1,2,3,4,5],[6,7,8],[9]] => {{1,2,3,4,5},{6,7,8},{9}} => {{1,2,3,4,5,7},{6,8},{9}}
[[1,2,3,4,5],[6,7],[8,9]] => {{1,2,3,4,5},{6,7},{8,9}} => {{1,2,3,4,5,7},{6,9},{8}}
[[1,2,3,4,5],[6,7],[8],[9]] => {{1,2,3,4,5},{6,7},{8},{9}} => {{1,2,3,4,5,7},{6},{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}} => {{1,2,3,4,6,8},{5,7},{9}}
[[1,2,3,4],[5,6,7],[8,9]] => {{1,2,3,4},{5,6,7},{8,9}} => {{1,2,3,4,6,9},{5,7},{8}}
[[1,2,3,4],[5,6,7],[8],[9]] => {{1,2,3,4},{5,6,7},{8},{9}} => {{1,2,3,4,6},{5,7},{8},{9}}
[[1,2,3,4],[5,6],[7,8],[9]] => {{1,2,3,4},{5,6},{7,8},{9}} => {{1,2,3,4,6},{5,8},{7},{9}}
[[1,2,3,4],[5,6],[7],[8],[9]] => {{1,2,3,4},{5,6},{7},{8},{9}} => {{1,2,3,4,6},{5},{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}} => {{1,2,3,5,8},{4,6,9},{7}}
[[1,2,3],[4,5,6],[7,8],[9]] => {{1,2,3},{4,5,6},{7,8},{9}} => {{1,2,3,5,8},{4,6},{7},{9}}
[[1,2,3],[4,5,6],[7],[8],[9]] => {{1,2,3},{4,5,6},{7},{8},{9}} => {{1,2,3,5},{4,6},{7},{8},{9}}
[[1,2,3],[4,5],[6,7],[8,9]] => {{1,2,3},{4,5},{6,7},{8,9}} => {{1,2,3,5,9},{4,7},{6},{8}}
[[1,2,3],[4,5],[6,7],[8],[9]] => {{1,2,3},{4,5},{6,7},{8},{9}} => {{1,2,3,5},{4,7},{6},{8},{9}}
[[1,2,3],[4,5],[6],[7],[8],[9]] => {{1,2,3},{4,5},{6},{7},{8},{9}} => {{1,2,3,5},{4},{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}} => {{1,2,4,8},{3,6},{5},{7},{9}}
[[1,2],[3,4],[5,6],[7],[8],[9]] => {{1,2},{3,4},{5,6},{7},{8},{9}} => {{1,2,4},{3,6},{5},{7},{8},{9}}
[[1,2],[3,4],[5],[6],[7],[8],[9]] => {{1,2},{3,4},{5},{6},{7},{8},{9}} => {{1,2,4},{3},{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}}
[[1,2,3,4,5,6,7,8,9,10]] => {{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],[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}} => {{1,2,3,4,5,6,7,9},{8,10}}
[[1,2,3,4,5,6,7],[8,9],[10]] => {{1,2,3,4,5,6,7},{8,9},{10}} => {{1,2,3,4,5,6,7,9},{8},{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}} => {{1,2,3,4,5,6,8,10},{7,9}}
[[1,2,3,4,5,6],[7,8,9],[10]] => {{1,2,3,4,5,6},{7,8,9},{10}} => {{1,2,3,4,5,6,8},{7,9},{10}}
[[1,2,3,4,5,6],[7,8],[9,10]] => {{1,2,3,4,5,6},{7,8},{9,10}} => {{1,2,3,4,5,6,8},{7,10},{9}}
[[1,2,3,4,5,6],[7,8],[9],[10]] => {{1,2,3,4,5,6},{7,8},{9},{10}} => {{1,2,3,4,5,6,8},{7},{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}} => {{1,2,3,4,5,7,9},{6,8},{10}}
[[1,2,3,4,5],[6,7,8],[9,10]] => {{1,2,3,4,5},{6,7,8},{9,10}} => {{1,2,3,4,5,7,10},{6,8},{9}}
[[1,2,3,4,5],[6,7,8],[9],[10]] => {{1,2,3,4,5},{6,7,8},{9},{10}} => {{1,2,3,4,5,7},{6,8},{9},{10}}
[[1,2,3,4,5],[6,7],[8,9],[10]] => {{1,2,3,4,5},{6,7},{8,9},{10}} => {{1,2,3,4,5,7},{6,9},{8},{10}}
[[1,2,3,4,5],[6,7],[8],[9],[10]] => {{1,2,3,4,5},{6,7},{8},{9},{10}} => {{1,2,3,4,5,7},{6},{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}} => {{1,2,3,4,6,8},{5,7,10},{9}}
[[1,2,3,4],[5,6,7,8],[9],[10]] => {{1,2,3,4},{5,6,7,8},{9},{10}} => {{1,2,3,4,6,8},{5,7},{9},{10}}
[[1,2,3,4],[5,6,7],[8,9,10]] => {{1,2,3,4},{5,6,7},{8,9,10}} => {{1,2,3,4,6,9},{5,7,10},{8}}
[[1,2,3,4],[5,6,7],[8,9],[10]] => {{1,2,3,4},{5,6,7},{8,9},{10}} => {{1,2,3,4,6,9},{5,7},{8},{10}}
[[1,2,3,4],[5,6,7],[8],[9],[10]] => {{1,2,3,4},{5,6,7},{8},{9},{10}} => {{1,2,3,4,6},{5,7},{8},{9},{10}}
[[1,2,3,4],[5,6],[7,8],[9,10]] => {{1,2,3,4},{5,6},{7,8},{9,10}} => {{1,2,3,4,6,10},{5,8},{7},{9}}
[[1,2,3,4],[5,6],[7,8],[9],[10]] => {{1,2,3,4},{5,6},{7,8},{9},{10}} => {{1,2,3,4,6},{5,8},{7},{9},{10}}
[[1,2,3,4],[5,6],[7],[8],[9],[10]] => {{1,2,3,4},{5,6},{7},{8},{9},{10}} => {{1,2,3,4,6},{5},{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}} => {{1,2,3,5,8},{4,6,9},{7},{10}}
[[1,2,3],[4,5,6],[7,8],[9,10]] => {{1,2,3},{4,5,6},{7,8},{9,10}} => {{1,2,3,5,8},{4,6,10},{7},{9}}
[[1,2,3],[4,5,6],[7,8],[9],[10]] => {{1,2,3},{4,5,6},{7,8},{9},{10}} => {{1,2,3,5,8},{4,6},{7},{9},{10}}
[[1,2,3],[4,5,6],[7],[8],[9],[10]] => {{1,2,3},{4,5,6},{7},{8},{9},{10}} => {{1,2,3,5},{4,6},{7},{8},{9},{10}}
[[1,2,3],[4,5],[6,7],[8,9],[10]] => {{1,2,3},{4,5},{6,7},{8,9},{10}} => {{1,2,3,5,9},{4,7},{6},{8},{10}}
[[1,2,3],[4,5],[6,7],[8],[9],[10]] => {{1,2,3},{4,5},{6,7},{8},{9},{10}} => {{1,2,3,5},{4,7},{6},{8},{9},{10}}
[[1,2,3],[4,5],[6],[7],[8],[9],[10]] => {{1,2,3},{4,5},{6},{7},{8},{9},{10}} => {{1,2,3,5},{4},{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}} => {{1,2,4,8},{3,6},{5,10},{7},{9}}
[[1,2],[3,4],[5,6],[7,8],[9],[10]] => {{1,2},{3,4},{5,6},{7,8},{9},{10}} => {{1,2,4,8},{3,6},{5},{7},{9},{10}}
[[1,2],[3,4],[5,6],[7],[8],[9],[10]] => {{1,2},{3,4},{5,6},{7},{8},{9},{10}} => {{1,2,4},{3,6},{5},{7},{8},{9},{10}}
[[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => {{1,2},{3,4},{5},{6},{7},{8},{9},{10}} => {{1,2,4},{3},{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}}
[[1,2,3,4,5,6,7,8,9,10,11,12]] => {{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},{7,8,9,10},{11,12}} => {{1,2,3,4,5,6,8,10},{7,9,12},{11}}
[[1,2,3,4],[5,6,7,8],[9,10],[11,12]] => {{1,2,3,4},{5,6,7,8},{9,10},{11,12}} => {{1,2,3,4,6,8,12},{5,7,10},{9},{11}}
[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => {{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}} => {{1,2,4,8},{3,6,12},{5,10},{7},{9},{11}}
[[1,3,4,5,6,7,8,9],[2]] => {{1,3,4,5,6,7,8,9},{2}} => {{1},{2,3,4,5,6,7,8,9}}
[[1,2,5,6,7,8,9],[3,4]] => {{1,2,5,6,7,8,9},{3,4}} => {{1,2,4,5,6,7,8,9},{3}}
[[1,4,5,6,7,8,9],[2],[3]] => {{1,4,5,6,7,8,9},{2},{3}} => {{1},{2},{3,4,5,6,7,8,9}}
[[1,2,3,7,8,9],[4,5,6]] => {{1,2,3,7,8,9},{4,5,6}} => {{1,2,3,5},{4,6,7,8,9}}
[[1,3,6,7,8,9],[2,5],[4]] => {{1,3,6,7,8,9},{2,5},{4}} => {{1},{2,3,5,6,7,8,9},{4}}
[[1,5,6,7,8,9],[2],[3],[4]] => {{1,5,6,7,8,9},{2},{3},{4}} => {{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}} => {{1,2,3,4,6,8,9},{5,7}}
[[1,3,4,8,9],[2,6,7],[5]] => {{1,3,4,8,9},{2,6,7},{5}} => {{1},{2,3,4,6},{5,7,8,9}}
[[1,2,7,8,9],[3,4],[5,6]] => {{1,2,7,8,9},{3,4},{5,6}} => {{1,2,4},{3,6,7,8,9},{5}}
[[1,4,7,8,9],[2,6],[3],[5]] => {{1,4,7,8,9},{2,6},{3},{5}} => {{1},{2},{3,4,6,7,8,9},{5}}
[[1,6,7,8,9],[2],[3],[4],[5]] => {{1,6,7,8,9},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7,8,9}}
[[1,3,4,5],[2,7,8,9],[6]] => {{1,3,4,5},{2,7,8,9},{6}} => {{1},{2,3,4,5,7,9},{6,8}}
[[1,2,5,9],[3,4,8],[6,7]] => {{1,2,5,9},{3,4,8},{6,7}} => {{1,2,4,5},{3,7},{6,8,9}}
[[1,4,5,9],[2,7,8],[3],[6]] => {{1,4,5,9},{2,7,8},{3},{6}} => {{1},{2},{3,4,5,7},{6,8,9}}
[[1,3,8,9],[2,5],[4,7],[6]] => {{1,3,8,9},{2,5},{4,7},{6}} => {{1},{2,3,5},{4,7,8,9},{6}}
[[1,5,8,9],[2,7],[3],[4],[6]] => {{1,5,8,9},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7,8,9},{6}}
[[1,7,8,9],[2],[3],[4],[5],[6]] => {{1,7,8,9},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7,8,9}}
[[1,3,6],[2,5,9],[4,8],[7]] => {{1,3,6},{2,5,9},{4,8},{7}} => {{1},{2,3,5,6},{4,8},{7,9}}
[[1,5,6],[2,8,9],[3],[4],[7]] => {{1,5,6},{2,8,9},{3},{4},{7}} => {{1},{2},{3},{4,5,6,8},{7,9}}
[[1,2,9],[3,4],[5,6],[7,8]] => {{1,2,9},{3,4},{5,6},{7,8}} => {{1,2,4,8,9},{3,6},{5},{7}}
[[1,4,9],[2,6],[3,8],[5],[7]] => {{1,4,9},{2,6},{3,8},{5},{7}} => {{1},{2},{3,4,6},{5,8,9},{7}}
[[1,6,9],[2,8],[3],[4],[5],[7]] => {{1,6,9},{2,8},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6,8,9},{7}}
[[1,8,9],[2],[3],[4],[5],[6],[7]] => {{1,8,9},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7,8,9}}
[[1,3],[2,5],[4,7],[6,9],[8]] => {{1,3},{2,5},{4,7},{6,9},{8}} => {{1},{2,3,5,9},{4,7},{6},{8}}
[[1,5],[2,7],[3,9],[4],[6],[8]] => {{1,5},{2,7},{3,9},{4},{6},{8}} => {{1},{2},{3},{4,5,7},{6,9},{8}}
[[1,7],[2,9],[3],[4],[5],[6],[8]] => {{1,7},{2,9},{3},{4},{5},{6},{8}} => {{1},{2},{3},{4},{5},{6,7,9},{8}}
[[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}}
[[1,3,4,5,6,7,8,9,10],[2]] => {{1,3,4,5,6,7,8,9,10},{2}} => {{1},{2,3,4,5,6,7,8,9,10}}
[[1,2,5,6,7,8,9,10],[3,4]] => {{1,2,5,6,7,8,9,10},{3,4}} => {{1,2,4,5,6,7,8,9,10},{3}}
[[1,4,5,6,7,8,9,10],[2],[3]] => {{1,4,5,6,7,8,9,10},{2},{3}} => {{1},{2},{3,4,5,6,7,8,9,10}}
[[1,2,3,7,8,9,10],[4,5,6]] => {{1,2,3,7,8,9,10},{4,5,6}} => {{1,2,3,5},{4,6,7,8,9,10}}
[[1,3,6,7,8,9,10],[2,5],[4]] => {{1,3,6,7,8,9,10},{2,5},{4}} => {{1},{2,3,5,6,7,8,9,10},{4}}
[[1,5,6,7,8,9,10],[2],[3],[4]] => {{1,5,6,7,8,9,10},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7,8,9,10}}
[[1,2,3,4,9,10],[5,6,7,8]] => {{1,2,3,4,9,10},{5,6,7,8}} => {{1,2,3,4,6,8,9,10},{5,7}}
[[1,3,4,8,9,10],[2,6,7],[5]] => {{1,3,4,8,9,10},{2,6,7},{5}} => {{1},{2,3,4,6},{5,7,8,9,10}}
[[1,2,7,8,9,10],[3,4],[5,6]] => {{1,2,7,8,9,10},{3,4},{5,6}} => {{1,2,4},{3,6,7,8,9,10},{5}}
[[1,4,7,8,9,10],[2,6],[3],[5]] => {{1,4,7,8,9,10},{2,6},{3},{5}} => {{1},{2},{3,4,6,7,8,9,10},{5}}
[[1,6,7,8,9,10],[2],[3],[4],[5]] => {{1,6,7,8,9,10},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5,6,7,8,9,10}}
[[1,3,4,5,10],[2,7,8,9],[6]] => {{1,3,4,5,10},{2,7,8,9},{6}} => {{1},{2,3,4,5,7,9,10},{6,8}}
[[1,2,5,9,10],[3,4,8],[6,7]] => {{1,2,5,9,10},{3,4,8},{6,7}} => {{1,2,4,5},{3,7},{6,8,9,10}}
[[1,4,5,9,10],[2,7,8],[3],[6]] => {{1,4,5,9,10},{2,7,8},{3},{6}} => {{1},{2},{3,4,5,7},{6,8,9,10}}
[[1,3,8,9,10],[2,5],[4,7],[6]] => {{1,3,8,9,10},{2,5},{4,7},{6}} => {{1},{2,3,5},{4,7,8,9,10},{6}}
[[1,5,8,9,10],[2,7],[3],[4],[6]] => {{1,5,8,9,10},{2,7},{3},{4},{6}} => {{1},{2},{3},{4,5,7,8,9,10},{6}}
[[1,7,8,9,10],[2],[3],[4],[5],[6]] => {{1,7,8,9,10},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6,7,8,9,10}}
[[1,2,5,6],[3,4,9,10],[7,8]] => {{1,2,5,6},{3,4,9,10},{7,8}} => {{1,2,4,5,6},{3,8,10},{7,9}}
[[1,4,5,6],[2,8,9,10],[3],[7]] => {{1,4,5,6},{2,8,9,10},{3},{7}} => {{1},{2},{3,4,5,6,8,10},{7,9}}
[[1,2,3,10],[4,5,6],[7,8,9]] => {{1,2,3,10},{4,5,6},{7,8,9}} => {{1,2,3,5,8},{4,6,9,10},{7}}
[[1,3,6,10],[2,5,9],[4,8],[7]] => {{1,3,6,10},{2,5,9},{4,8},{7}} => {{1},{2,3,5,6},{4,8},{7,9,10}}
[[1,5,6,10],[2,8,9],[3],[4],[7]] => {{1,5,6,10},{2,8,9},{3},{4},{7}} => {{1},{2},{3},{4,5,6,8},{7,9,10}}
[[1,2,9,10],[3,4],[5,6],[7,8]] => {{1,2,9,10},{3,4},{5,6},{7,8}} => {{1,2,4,8,9,10},{3,6},{5},{7}}
[[1,4,9,10],[2,6],[3,8],[5],[7]] => {{1,4,9,10},{2,6},{3,8},{5},{7}} => {{1},{2},{3,4,6},{5,8,9,10},{7}}
[[1,6,9,10],[2,8],[3],[4],[5],[7]] => {{1,6,9,10},{2,8},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6,8,9,10},{7}}
[[1,8,9,10],[2],[3],[4],[5],[6],[7]] => {{1,8,9,10},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7,8,9,10}}
[[1,3,4],[2,6,7],[5,9,10],[8]] => {{1,3,4},{2,6,7},{5,9,10},{8}} => {{1},{2,3,4,6,9},{5,7,10},{8}}
[[1,2,7],[3,4,10],[5,6],[8,9]] => {{1,2,7},{3,4,10},{5,6},{8,9}} => {{1,2,4,9},{3,6,7},{5},{8,10}}
[[1,4,7],[2,6,10],[3,9],[5],[8]] => {{1,4,7},{2,6,10},{3,9},{5},{8}} => {{1},{2},{3,4,6,7},{5,9},{8,10}}
[[1,6,7],[2,9,10],[3],[4],[5],[8]] => {{1,6,7},{2,9,10},{3},{4},{5},{8}} => {{1},{2},{3},{4},{5,6,7,9},{8,10}}
[[1,3,10],[2,5],[4,7],[6,9],[8]] => {{1,3,10},{2,5},{4,7},{6,9},{8}} => {{1},{2,3,5,9,10},{4,7},{6},{8}}
[[1,5,10],[2,7],[3,9],[4],[6],[8]] => {{1,5,10},{2,7},{3,9},{4},{6},{8}} => {{1},{2},{3},{4,5,7},{6,9,10},{8}}
[[1,7,10],[2,9],[3],[4],[5],[6],[8]] => {{1,7,10},{2,9},{3},{4},{5},{6},{8}} => {{1},{2},{3},{4},{5},{6,7,9,10},{8}}
[[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => {{1,9,10},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8,9,10}}
[[1,4],[2,6],[3,8],[5,10],[7],[9]] => {{1,4},{2,6},{3,8},{5,10},{7},{9}} => {{1},{2},{3,4,6,10},{5,8},{7},{9}}
[[1,6],[2,8],[3,10],[4],[5],[7],[9]] => {{1,6},{2,8},{3,10},{4},{5},{7},{9}} => {{1},{2},{3},{4},{5,6,8},{7,10},{9}}
[[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => {{1,8},{2,10},{3},{4},{5},{6},{7},{9}} => {{1},{2},{3},{4},{5},{6},{7,8,10},{9}}
[[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}}
[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]] => {{1,4,9},{2,6,12},{3,8},{5,11},{7},{10}} => {{1},{2},{3,4,6,11},{5,8,9},{7},{10,12}}
[[1,8],[2,9],[3],[4],[5],[6],[7]] => {{1,8},{2,9},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6,9},{7,8}}
[[1,7],[2,8],[3,9],[4],[5],[6]] => {{1,7},{2,8},{3,9},{4},{5},{6}} => {{1},{2},{3},{4,9},{5,8},{6,7}}
[[1,7,9],[2,8],[3],[4],[5],[6]] => {{1,7,9},{2,8},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,8,9},{6,7}}
[[1,6],[2,7],[3,8],[4,9],[5]] => {{1,6},{2,7},{3,8},{4,9},{5}} => {{1},{2,9},{3,8},{4,7},{5,6}}
[[1,6,9],[2,7],[3,8],[4],[5]] => {{1,6,9},{2,7},{3,8},{4},{5}} => {{1},{2},{3,8,9},{4,7},{5,6}}
[[1,6,8],[2,7,9],[3],[4],[5]] => {{1,6,8},{2,7,9},{3},{4},{5}} => {{1},{2},{3},{4,7,8},{5,6,9}}
[[1,6,8,9],[2,7],[3],[4],[5]] => {{1,6,8,9},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7,8,9},{5,6}}
[[1,5,9],[2,6],[3,7],[4,8]] => {{1,5,9},{2,6},{3,7},{4,8}} => {{1,8,9},{2,7},{3,6},{4,5}}
[[1,5,8],[2,6,9],[3,7],[4]] => {{1,5,8},{2,6,9},{3,7},{4}} => {{1},{2,7,8},{3,6,9},{4,5}}
[[1,5,8,9],[2,6],[3,7],[4]] => {{1,5,8,9},{2,6},{3,7},{4}} => {{1},{2,7,8,9},{3,6},{4,5}}
[[1,5,7,9],[2,6,8],[3],[4]] => {{1,5,7,9},{2,6,8},{3},{4}} => {{1},{2},{3,6,7},{4,5,8,9}}
[[1,5,7,8,9],[2,6],[3],[4]] => {{1,5,7,8,9},{2,6},{3},{4}} => {{1},{2},{3,6,7,8,9},{4,5}}
[[1,4,7],[2,5,8],[3,6,9]] => {{1,4,7},{2,5,8},{3,6,9}} => {{1,6,7},{2,5,8},{3,4,9}}
[[1,4,7,9],[2,5,8],[3,6]] => {{1,4,7,9},{2,5,8},{3,6}} => {{1,6,7},{2,5,8,9},{3,4}}
[[1,4,7,8,9],[2,5],[3,6]] => {{1,4,7,8,9},{2,5},{3,6}} => {{1,6,7,8,9},{2,5},{3,4}}
[[1,4,6,8],[2,5,7,9],[3]] => {{1,4,6,8},{2,5,7,9},{3}} => {{1},{2,5,6,9},{3,4,7,8}}
[[1,4,6,8,9],[2,5,7],[3]] => {{1,4,6,8,9},{2,5,7},{3}} => {{1},{2,5,6},{3,4,7,8,9}}
[[1,4,6,7,8,9],[2,5],[3]] => {{1,4,6,7,8,9},{2,5},{3}} => {{1},{2,5,6,7,8,9},{3,4}}
[[1,3,5,7,9],[2,4,6,8]] => {{1,3,5,7,9},{2,4,6,8}} => {{1,4,5,8,9},{2,3,6,7}}
[[1,3,5,7,8,9],[2,4,6]] => {{1,3,5,7,8,9},{2,4,6}} => {{1,4,5},{2,3,6,7,8,9}}
[[1,3,5,6,7,8,9],[2,4]] => {{1,3,5,6,7,8,9},{2,4}} => {{1,4,5,6,7,8,9},{2,3}}
[[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => {{1,9},{2,10},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7,10},{8,9}}
[[1,8],[2,9],[3,10],[4],[5],[6],[7]] => {{1,8},{2,9},{3,10},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5,10},{6,9},{7,8}}
[[1,8,10],[2,9],[3],[4],[5],[6],[7]] => {{1,8,10},{2,9},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6,9,10},{7,8}}
[[1,7],[2,8],[3,9],[4,10],[5],[6]] => {{1,7},{2,8},{3,9},{4,10},{5},{6}} => {{1},{2},{3,10},{4,9},{5,8},{6,7}}
[[1,7,10],[2,8],[3,9],[4],[5],[6]] => {{1,7,10},{2,8},{3,9},{4},{5},{6}} => {{1},{2},{3},{4,9,10},{5,8},{6,7}}
[[1,7,9],[2,8,10],[3],[4],[5],[6]] => {{1,7,9},{2,8,10},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,8,9},{6,7,10}}
[[1,7,9,10],[2,8],[3],[4],[5],[6]] => {{1,7,9,10},{2,8},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5,8,9,10},{6,7}}
[[1,6],[2,7],[3,8],[4,9],[5,10]] => {{1,6},{2,7},{3,8},{4,9},{5,10}} => {{1,10},{2,9},{3,8},{4,7},{5,6}}
[[1,6,10],[2,7],[3,8],[4,9],[5]] => {{1,6,10},{2,7},{3,8},{4,9},{5}} => {{1},{2,9,10},{3,8},{4,7},{5,6}}
[[1,6,9],[2,7,10],[3,8],[4],[5]] => {{1,6,9},{2,7,10},{3,8},{4},{5}} => {{1},{2},{3,8,9},{4,7,10},{5,6}}
[[1,6,9,10],[2,7],[3,8],[4],[5]] => {{1,6,9,10},{2,7},{3,8},{4},{5}} => {{1},{2},{3,8,9,10},{4,7},{5,6}}
[[1,6,8,10],[2,7,9],[3],[4],[5]] => {{1,6,8,10},{2,7,9},{3},{4},{5}} => {{1},{2},{3},{4,7,8},{5,6,9,10}}
[[1,6,8,9,10],[2,7],[3],[4],[5]] => {{1,6,8,9,10},{2,7},{3},{4},{5}} => {{1},{2},{3},{4,7,8,9,10},{5,6}}
[[1,5,9],[2,6,10],[3,7],[4,8]] => {{1,5,9},{2,6,10},{3,7},{4,8}} => {{1,8,9},{2,7,10},{3,6},{4,5}}
[[1,5,9,10],[2,6],[3,7],[4,8]] => {{1,5,9,10},{2,6},{3,7},{4,8}} => {{1,8,9,10},{2,7},{3,6},{4,5}}
[[1,5,8],[2,6,9],[3,7,10],[4]] => {{1,5,8},{2,6,9},{3,7,10},{4}} => {{1},{2,7,8},{3,6,9},{4,5,10}}
[[1,5,8,10],[2,6,9],[3,7],[4]] => {{1,5,8,10},{2,6,9},{3,7},{4}} => {{1},{2,7,8},{3,6,9,10},{4,5}}
[[1,5,8,9,10],[2,6],[3,7],[4]] => {{1,5,8,9,10},{2,6},{3,7},{4}} => {{1},{2,7,8,9,10},{3,6},{4,5}}
[[1,5,7,9],[2,6,8,10],[3],[4]] => {{1,5,7,9},{2,6,8,10},{3},{4}} => {{1},{2},{3,6,7,10},{4,5,8,9}}
[[1,5,7,9,10],[2,6,8],[3],[4]] => {{1,5,7,9,10},{2,6,8},{3},{4}} => {{1},{2},{3,6,7},{4,5,8,9,10}}
[[1,5,7,8,9,10],[2,6],[3],[4]] => {{1,5,7,8,9,10},{2,6},{3},{4}} => {{1},{2},{3,6,7,8,9,10},{4,5}}
[[1,4,7,10],[2,5,8],[3,6,9]] => {{1,4,7,10},{2,5,8},{3,6,9}} => {{1,6,7},{2,5,8},{3,4,9,10}}
[[1,4,7,9],[2,5,8,10],[3,6]] => {{1,4,7,9},{2,5,8,10},{3,6}} => {{1,6,7,10},{2,5,8,9},{3,4}}
[[1,4,7,9,10],[2,5,8],[3,6]] => {{1,4,7,9,10},{2,5,8},{3,6}} => {{1,6,7},{2,5,8,9,10},{3,4}}
[[1,4,7,8,9,10],[2,5],[3,6]] => {{1,4,7,8,9,10},{2,5},{3,6}} => {{1,6,7,8,9,10},{2,5},{3,4}}
[[1,4,6,8,10],[2,5,7,9],[3]] => {{1,4,6,8,10},{2,5,7,9},{3}} => {{1},{2,5,6,9,10},{3,4,7,8}}
[[1,4,6,8,9,10],[2,5,7],[3]] => {{1,4,6,8,9,10},{2,5,7},{3}} => {{1},{2,5,6},{3,4,7,8,9,10}}
[[1,4,6,7,8,9,10],[2,5],[3]] => {{1,4,6,7,8,9,10},{2,5},{3}} => {{1},{2,5,6,7,8,9,10},{3,4}}
[[1,3,5,7,9,10],[2,4,6,8]] => {{1,3,5,7,9,10},{2,4,6,8}} => {{1,4,5,8,9,10},{2,3,6,7}}
[[1,3,5,7,8,9,10],[2,4,6]] => {{1,3,5,7,8,9,10},{2,4,6}} => {{1,4,5},{2,3,6,7,8,9,10}}
[[1,3,5,6,7,8,9,10],[2,4]] => {{1,3,5,6,7,8,9,10},{2,4}} => {{1,4,5,6,7,8,9,10},{2,3}}
[[1,3],[2,4],[5],[6],[7],[8],[9]] => {{1,3},{2,4},{5},{6},{7},{8},{9}} => {{1,4},{2,3},{5},{6},{7},{8},{9}}
[[1,4],[2,5],[3,6],[7],[8],[9]] => {{1,4},{2,5},{3,6},{7},{8},{9}} => {{1,6},{2,5},{3,4},{7},{8},{9}}
[[1,2,4],[3,5],[6],[7],[8],[9]] => {{1,2,4},{3,5},{6},{7},{8},{9}} => {{1,2,5},{3,4},{6},{7},{8},{9}}
[[1,5],[2,6],[3,7],[4,8],[9]] => {{1,5},{2,6},{3,7},{4,8},{9}} => {{1,8},{2,7},{3,6},{4,5},{9}}
[[1,2,5],[3,6],[4,7],[8],[9]] => {{1,2,5},{3,6},{4,7},{8},{9}} => {{1,2,7},{3,6},{4,5},{8},{9}}
[[1,3,5],[2,4,6],[7],[8],[9]] => {{1,3,5},{2,4,6},{7},{8},{9}} => {{1,4,5},{2,3,6},{7},{8},{9}}
[[1,2,3,5],[4,6],[7],[8],[9]] => {{1,2,3,5},{4,6},{7},{8},{9}} => {{1,2,3,6},{4,5},{7},{8},{9}}
[[1,2,6],[3,7],[4,8],[5,9]] => {{1,2,6},{3,7},{4,8},{5,9}} => {{1,2,9},{3,8},{4,7},{5,6}}
[[1,3,6],[2,4,7],[5,8],[9]] => {{1,3,6},{2,4,7},{5,8},{9}} => {{1,4,7},{2,3,8},{5,6},{9}}
[[1,2,3,6],[4,7],[5,8],[9]] => {{1,2,3,6},{4,7},{5,8},{9}} => {{1,2,3,8},{4,7},{5,6},{9}}
[[1,2,4,6],[3,5,7],[8],[9]] => {{1,2,4,6},{3,5,7},{8},{9}} => {{1,2,5,6},{3,4,7},{8},{9}}
[[1,2,3,4,6],[5,7],[8],[9]] => {{1,2,3,4,6},{5,7},{8},{9}} => {{1,2,3,4,7},{5,6},{8},{9}}
[[1,2,4,7],[3,5,8],[6,9]] => {{1,2,4,7},{3,5,8},{6,9}} => {{1,2,5,8},{3,4,9},{6,7}}
[[1,2,3,4,7],[5,8],[6,9]] => {{1,2,3,4,7},{5,8},{6,9}} => {{1,2,3,4,9},{5,8},{6,7}}
[[1,3,5,7],[2,4,6,8],[9]] => {{1,3,5,7},{2,4,6,8},{9}} => {{1,4,5,8},{2,3,6,7},{9}}
[[1,2,3,5,7],[4,6,8],[9]] => {{1,2,3,5,7},{4,6,8},{9}} => {{1,2,3,6,7},{4,5,8},{9}}
[[1,2,3,4,5,7],[6,8],[9]] => {{1,2,3,4,5,7},{6,8},{9}} => {{1,2,3,4,5,8},{6,7},{9}}
[[1,2,4,6,8],[3,5,7,9]] => {{1,2,4,6,8},{3,5,7,9}} => {{1,2,5,6,9},{3,4,7,8}}
[[1,2,3,4,6,8],[5,7,9]] => {{1,2,3,4,6,8},{5,7,9}} => {{1,2,3,4,7,8},{5,6,9}}
[[1,2,3,4,5,6,8],[7,9]] => {{1,2,3,4,5,6,8},{7,9}} => {{1,2,3,4,5,6,9},{7,8}}
[[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => {{1,3},{2,4},{5},{6},{7},{8},{9},{10}} => {{1,4},{2,3},{5},{6},{7},{8},{9},{10}}
[[1,4],[2,5],[3,6],[7],[8],[9],[10]] => {{1,4},{2,5},{3,6},{7},{8},{9},{10}} => {{1,6},{2,5},{3,4},{7},{8},{9},{10}}
[[1,2,4],[3,5],[6],[7],[8],[9],[10]] => {{1,2,4},{3,5},{6},{7},{8},{9},{10}} => {{1,2,5},{3,4},{6},{7},{8},{9},{10}}
[[1,5],[2,6],[3,7],[4,8],[9],[10]] => {{1,5},{2,6},{3,7},{4,8},{9},{10}} => {{1,8},{2,7},{3,6},{4,5},{9},{10}}
[[1,2,5],[3,6],[4,7],[8],[9],[10]] => {{1,2,5},{3,6},{4,7},{8},{9},{10}} => {{1,2,7},{3,6},{4,5},{8},{9},{10}}
[[1,3,5],[2,4,6],[7],[8],[9],[10]] => {{1,3,5},{2,4,6},{7},{8},{9},{10}} => {{1,4,5},{2,3,6},{7},{8},{9},{10}}
[[1,2,3,5],[4,6],[7],[8],[9],[10]] => {{1,2,3,5},{4,6},{7},{8},{9},{10}} => {{1,2,3,6},{4,5},{7},{8},{9},{10}}
[[1,2,6],[3,7],[4,8],[5,9],[10]] => {{1,2,6},{3,7},{4,8},{5,9},{10}} => {{1,2,9},{3,8},{4,7},{5,6},{10}}
[[1,3,6],[2,4,7],[5,8],[9],[10]] => {{1,3,6},{2,4,7},{5,8},{9},{10}} => {{1,4,7},{2,3,8},{5,6},{9},{10}}
[[1,2,3,6],[4,7],[5,8],[9],[10]] => {{1,2,3,6},{4,7},{5,8},{9},{10}} => {{1,2,3,8},{4,7},{5,6},{9},{10}}
[[1,2,4,6],[3,5,7],[8],[9],[10]] => {{1,2,4,6},{3,5,7},{8},{9},{10}} => {{1,2,5,6},{3,4,7},{8},{9},{10}}
[[1,2,3,4,6],[5,7],[8],[9],[10]] => {{1,2,3,4,6},{5,7},{8},{9},{10}} => {{1,2,3,4,7},{5,6},{8},{9},{10}}
[[1,3,7],[2,4,8],[5,9],[6,10]] => {{1,3,7},{2,4,8},{5,9},{6,10}} => {{1,4,9},{2,3,10},{5,8},{6,7}}
[[1,2,3,7],[4,8],[5,9],[6,10]] => {{1,2,3,7},{4,8},{5,9},{6,10}} => {{1,2,3,10},{4,9},{5,8},{6,7}}
[[1,4,7],[2,5,8],[3,6,9],[10]] => {{1,4,7},{2,5,8},{3,6,9},{10}} => {{1,6,7},{2,5,8},{3,4,9},{10}}
[[1,2,4,7],[3,5,8],[6,9],[10]] => {{1,2,4,7},{3,5,8},{6,9},{10}} => {{1,2,5,8},{3,4,9},{6,7},{10}}
[[1,2,3,4,7],[5,8],[6,9],[10]] => {{1,2,3,4,7},{5,8},{6,9},{10}} => {{1,2,3,4,9},{5,8},{6,7},{10}}
[[1,3,5,7],[2,4,6,8],[9],[10]] => {{1,3,5,7},{2,4,6,8},{9},{10}} => {{1,4,5,8},{2,3,6,7},{9},{10}}
[[1,2,3,5,7],[4,6,8],[9],[10]] => {{1,2,3,5,7},{4,6,8},{9},{10}} => {{1,2,3,6,7},{4,5,8},{9},{10}}
[[1,2,3,4,5,7],[6,8],[9],[10]] => {{1,2,3,4,5,7},{6,8},{9},{10}} => {{1,2,3,4,5,8},{6,7},{9},{10}}
[[1,2,5,8],[3,6,9],[4,7,10]] => {{1,2,5,8},{3,6,9},{4,7,10}} => {{1,2,7,8},{3,6,9},{4,5,10}}
[[1,3,5,8],[2,4,6,9],[7,10]] => {{1,3,5,8},{2,4,6,9},{7,10}} => {{1,4,5,10},{2,3,6,9},{7,8}}
[[1,2,3,5,8],[4,6,9],[7,10]] => {{1,2,3,5,8},{4,6,9},{7,10}} => {{1,2,3,6,9},{4,5,10},{7,8}}
[[1,2,3,4,5,8],[6,9],[7,10]] => {{1,2,3,4,5,8},{6,9},{7,10}} => {{1,2,3,4,5,10},{6,9},{7,8}}
[[1,2,4,6,8],[3,5,7,9],[10]] => {{1,2,4,6,8},{3,5,7,9},{10}} => {{1,2,5,6,9},{3,4,7,8},{10}}
[[1,2,3,4,6,8],[5,7,9],[10]] => {{1,2,3,4,6,8},{5,7,9},{10}} => {{1,2,3,4,7,8},{5,6,9},{10}}
[[1,2,3,4,5,6,8],[7,9],[10]] => {{1,2,3,4,5,6,8},{7,9},{10}} => {{1,2,3,4,5,6,9},{7,8},{10}}
[[1,2,3,5,7,9],[4,6,8,10]] => {{1,2,3,5,7,9},{4,6,8,10}} => {{1,2,3,6,7,10},{4,5,8,9}}
[[1,2,3,4,5,7,9],[6,8,10]] => {{1,2,3,4,5,7,9},{6,8,10}} => {{1,2,3,4,5,8,9},{6,7,10}}
[[1,2,3,4,5,6,7,9],[8,10]] => {{1,2,3,4,5,6,7,9},{8,10}} => {{1,2,3,4,5,6,7,10},{8,9}}
[[1,2],[3,4],[5,6],[7,9],[8,10]] => {{1,2},{3,4},{5,6},{7,9},{8,10}} => {{1,2,4,10},{3,6},{5,9},{7},{8}}
[[1,2],[3,4],[5,7],[6,8],[9,10]] => {{1,2},{3,4},{5,7},{6,8},{9,10}} => {{1,2,4,7},{3,8},{5,10},{6},{9}}
[[1,2],[3,4],[5,7],[6,9],[8,10]] => {{1,2},{3,4},{5,7},{6,9},{8,10}} => {{1,2,4,7},{3,10},{5,9},{6},{8}}
[[1,2],[3,4],[5,8],[6,9],[7,10]] => {{1,2},{3,4},{5,8},{6,9},{7,10}} => {{1,2,4,9},{3,10},{5,8},{6},{7}}
[[1,2],[3,5],[4,6],[7,8],[9,10]] => {{1,2},{3,5},{4,6},{7,8},{9,10}} => {{1,2,6},{3,5,10},{4,8},{7},{9}}
[[1,2],[3,5],[4,6],[7,9],[8,10]] => {{1,2},{3,5},{4,6},{7,9},{8,10}} => {{1,2,6},{3,5,9},{4,10},{7},{8}}
[[1,2],[3,5],[4,7],[6,8],[9,10]] => {{1,2},{3,5},{4,7},{6,8},{9,10}} => {{1,2,8},{3,5,10},{4,7},{6},{9}}
[[1,2],[3,5],[4,7],[6,9],[8,10]] => {{1,2},{3,5},{4,7},{6,9},{8,10}} => {{1,2,10},{3,5,9},{4,7},{6},{8}}
[[1,2],[3,5],[4,8],[6,9],[7,10]] => {{1,2},{3,5},{4,8},{6,9},{7,10}} => {{1,2,10},{3,5,8},{4,9},{6},{7}}
[[1,2],[3,6],[4,7],[5,8],[9,10]] => {{1,2},{3,6},{4,7},{5,8},{9,10}} => {{1,2,8},{3,7},{4,6},{5,10},{9}}
[[1,2],[3,6],[4,7],[5,9],[8,10]] => {{1,2},{3,6},{4,7},{5,9},{8,10}} => {{1,2,10},{3,7},{4,6},{5,9},{8}}
[[1,2],[3,6],[4,8],[5,9],[7,10]] => {{1,2},{3,6},{4,8},{5,9},{7,10}} => {{1,2,10},{3,9},{4,6},{5,8},{7}}
[[1,2],[3,7],[4,8],[5,9],[6,10]] => {{1,2},{3,7},{4,8},{5,9},{6,10}} => {{1,2,10},{3,9},{4,8},{5,7},{6}}
[[1,3],[2,4],[5,6],[7,8],[9,10]] => {{1,3},{2,4},{5,6},{7,8},{9,10}} => {{1,4,8},{2,3,6},{5,10},{7},{9}}
[[1,3],[2,4],[5,6],[7,9],[8,10]] => {{1,3},{2,4},{5,6},{7,9},{8,10}} => {{1,4,10},{2,3,6},{5,9},{7},{8}}
[[1,3],[2,4],[5,7],[6,8],[9,10]] => {{1,3},{2,4},{5,7},{6,8},{9,10}} => {{1,4,7},{2,3,8},{5,10},{6},{9}}
[[1,3],[2,4],[5,7],[6,9],[8,10]] => {{1,3},{2,4},{5,7},{6,9},{8,10}} => {{1,4,7},{2,3,10},{5,9},{6},{8}}
[[1,3],[2,4],[5,8],[6,9],[7,10]] => {{1,3},{2,4},{5,8},{6,9},{7,10}} => {{1,4,9},{2,3,10},{5,8},{6},{7}}
[[1,3],[2,5],[4,6],[7,8],[9,10]] => {{1,3},{2,5},{4,6},{7,8},{9,10}} => {{1,6},{2,3,5,10},{4,8},{7},{9}}
[[1,3],[2,5],[4,6],[7,9],[8,10]] => {{1,3},{2,5},{4,6},{7,9},{8,10}} => {{1,6},{2,3,5,9},{4,10},{7},{8}}
[[1,3],[2,5],[4,7],[6,8],[9,10]] => {{1,3},{2,5},{4,7},{6,8},{9,10}} => {{1,8},{2,3,5,10},{4,7},{6},{9}}
[[1,3],[2,5],[4,7],[6,9],[8,10]] => {{1,3},{2,5},{4,7},{6,9},{8,10}} => {{1,10},{2,3,5,9},{4,7},{6},{8}}
[[1,3],[2,5],[4,8],[6,9],[7,10]] => {{1,3},{2,5},{4,8},{6,9},{7,10}} => {{1,10},{2,3,5,8},{4,9},{6},{7}}
[[1,3],[2,6],[4,7],[5,8],[9,10]] => {{1,3},{2,6},{4,7},{5,8},{9,10}} => {{1,8},{2,3,7},{4,6},{5,10},{9}}
[[1,3],[2,6],[4,7],[5,9],[8,10]] => {{1,3},{2,6},{4,7},{5,9},{8,10}} => {{1,10},{2,3,7},{4,6},{5,9},{8}}
[[1,3],[2,6],[4,8],[5,9],[7,10]] => {{1,3},{2,6},{4,8},{5,9},{7,10}} => {{1,10},{2,3,9},{4,6},{5,8},{7}}
[[1,3],[2,7],[4,8],[5,9],[6,10]] => {{1,3},{2,7},{4,8},{5,9},{6,10}} => {{1,10},{2,3,9},{4,8},{5,7},{6}}
[[1,4],[2,5],[3,6],[7,8],[9,10]] => {{1,4},{2,5},{3,6},{7,8},{9,10}} => {{1,6},{2,5,10},{3,4,8},{7},{9}}
[[1,4],[2,5],[3,6],[7,9],[8,10]] => {{1,4},{2,5},{3,6},{7,9},{8,10}} => {{1,6},{2,5,9},{3,4,10},{7},{8}}
[[1,4],[2,5],[3,7],[6,8],[9,10]] => {{1,4},{2,5},{3,7},{6,8},{9,10}} => {{1,8},{2,5,10},{3,4,7},{6},{9}}
[[1,4],[2,5],[3,7],[6,9],[8,10]] => {{1,4},{2,5},{3,7},{6,9},{8,10}} => {{1,10},{2,5,9},{3,4,7},{6},{8}}
[[1,4],[2,5],[3,8],[6,9],[7,10]] => {{1,4},{2,5},{3,8},{6,9},{7,10}} => {{1,10},{2,5,8},{3,4,9},{6},{7}}
[[1,4],[2,6],[3,7],[5,8],[9,10]] => {{1,4},{2,6},{3,7},{5,8},{9,10}} => {{1,8},{2,7},{3,4,6},{5,10},{9}}
[[1,4],[2,6],[3,7],[5,9],[8,10]] => {{1,4},{2,6},{3,7},{5,9},{8,10}} => {{1,10},{2,7},{3,4,6},{5,9},{8}}
[[1,4],[2,6],[3,8],[5,9],[7,10]] => {{1,4},{2,6},{3,8},{5,9},{7,10}} => {{1,10},{2,9},{3,4,6},{5,8},{7}}
[[1,4],[2,7],[3,8],[5,9],[6,10]] => {{1,4},{2,7},{3,8},{5,9},{6,10}} => {{1,10},{2,9},{3,4,8},{5,7},{6}}
[[1,5],[2,6],[3,7],[4,8],[9,10]] => {{1,5},{2,6},{3,7},{4,8},{9,10}} => {{1,8},{2,7},{3,6},{4,5,10},{9}}
[[1,5],[2,6],[3,7],[4,9],[8,10]] => {{1,5},{2,6},{3,7},{4,9},{8,10}} => {{1,10},{2,7},{3,6},{4,5,9},{8}}
[[1,5],[2,6],[3,8],[4,9],[7,10]] => {{1,5},{2,6},{3,8},{4,9},{7,10}} => {{1,10},{2,9},{3,6},{4,5,8},{7}}
[[1,5],[2,7],[3,8],[4,9],[6,10]] => {{1,5},{2,7},{3,8},{4,9},{6,10}} => {{1,10},{2,9},{3,8},{4,5,7},{6}}
[[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]] => {{1,2},{3,4},{5,6},{7,8},{9,11},{10,12}} => {{1,2,4,8},{3,6,11},{5,12},{7},{9},{10}}
[[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]] => {{1,2},{3,4},{5,6},{7,9},{8,10},{11,12}} => {{1,2,4,10},{3,6,12},{5,9},{7},{8},{11}}
[[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]] => {{1,2},{3,4},{5,6},{7,9},{8,11},{10,12}} => {{1,2,4,12},{3,6,11},{5,9},{7},{8},{10}}
[[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]] => {{1,2},{3,4},{5,6},{7,10},{8,11},{9,12}} => {{1,2,4,12},{3,6,10},{5,11},{7},{8},{9}}
[[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]] => {{1,2},{3,4},{5,7},{6,8},{9,10},{11,12}} => {{1,2,4,7},{3,8},{5,10},{6,12},{9},{11}}
[[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]] => {{1,2},{3,4},{5,7},{6,8},{9,11},{10,12}} => {{1,2,4,7},{3,8},{5,12},{6,11},{9},{10}}
[[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]] => {{1,2},{3,4},{5,7},{6,9},{8,10},{11,12}} => {{1,2,4,7},{3,10},{5,9},{6,12},{8},{11}}
[[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]] => {{1,2},{3,4},{5,7},{6,9},{8,11},{10,12}} => {{1,2,4,7},{3,12},{5,9},{6,11},{8},{10}}
[[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]] => {{1,2},{3,4},{5,7},{6,10},{8,11},{9,12}} => {{1,2,4,7},{3,12},{5,11},{6,10},{8},{9}}
[[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]] => {{1,2},{3,4},{5,8},{6,9},{7,10},{11,12}} => {{1,2,4,9},{3,10},{5,8},{6,12},{7},{11}}
[[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]] => {{1,2},{3,4},{5,8},{6,9},{7,11},{10,12}} => {{1,2,4,9},{3,12},{5,8},{6,11},{7},{10}}
[[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]] => {{1,2},{3,4},{5,8},{6,10},{7,11},{9,12}} => {{1,2,4,11},{3,12},{5,8},{6,10},{7},{9}}
[[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]] => {{1,2},{3,4},{5,9},{6,10},{7,11},{8,12}} => {{1,2,4,11},{3,12},{5,10},{6,9},{7},{8}}
[[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]] => {{1,2},{3,5},{4,6},{7,8},{9,10},{11,12}} => {{1,2,6,12},{3,5,10},{4,8},{7},{9},{11}}
[[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]] => {{1,2},{3,5},{4,6},{7,8},{9,11},{10,12}} => {{1,2,6,11},{3,5,12},{4,8},{7},{9},{10}}
[[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]] => {{1,2},{3,5},{4,6},{7,9},{8,10},{11,12}} => {{1,2,6,12},{3,5,9},{4,10},{7},{8},{11}}
[[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]] => {{1,2},{3,5},{4,6},{7,9},{8,11},{10,12}} => {{1,2,6,11},{3,5,9},{4,12},{7},{8},{10}}
[[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]] => {{1,2},{3,5},{4,6},{7,10},{8,11},{9,12}} => {{1,2,6,10},{3,5,11},{4,12},{7},{8},{9}}
[[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]] => {{1,2},{3,5},{4,7},{6,8},{9,10},{11,12}} => {{1,2,8},{3,5,10},{4,7},{6,12},{9},{11}}
[[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]] => {{1,2},{3,5},{4,7},{6,8},{9,11},{10,12}} => {{1,2,8},{3,5,12},{4,7},{6,11},{9},{10}}
[[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]] => {{1,2},{3,5},{4,7},{6,9},{8,10},{11,12}} => {{1,2,10},{3,5,9},{4,7},{6,12},{8},{11}}
[[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]] => {{1,2},{3,5},{4,7},{6,9},{8,11},{10,12}} => {{1,2,12},{3,5,9},{4,7},{6,11},{8},{10}}
[[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]] => {{1,2},{3,5},{4,7},{6,10},{8,11},{9,12}} => {{1,2,12},{3,5,11},{4,7},{6,10},{8},{9}}
[[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]] => {{1,2},{3,5},{4,8},{6,9},{7,10},{11,12}} => {{1,2,10},{3,5,8},{4,9},{6,12},{7},{11}}
[[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]] => {{1,2},{3,5},{4,8},{6,9},{7,11},{10,12}} => {{1,2,12},{3,5,8},{4,9},{6,11},{7},{10}}
[[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]] => {{1,2},{3,5},{4,8},{6,10},{7,11},{9,12}} => {{1,2,12},{3,5,8},{4,11},{6,10},{7},{9}}
[[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]] => {{1,2},{3,5},{4,9},{6,10},{7,11},{8,12}} => {{1,2,12},{3,5,10},{4,11},{6,9},{7},{8}}
[[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]] => {{1,2},{3,6},{4,7},{5,8},{9,10},{11,12}} => {{1,2,8},{3,7},{4,6,12},{5,10},{9},{11}}
[[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]] => {{1,2},{3,6},{4,7},{5,8},{9,11},{10,12}} => {{1,2,8},{3,7},{4,6,11},{5,12},{9},{10}}
[[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]] => {{1,2},{3,6},{4,7},{5,9},{8,10},{11,12}} => {{1,2,10},{3,7},{4,6,12},{5,9},{8},{11}}
[[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]] => {{1,2},{3,6},{4,7},{5,9},{8,11},{10,12}} => {{1,2,12},{3,7},{4,6,11},{5,9},{8},{10}}
[[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]] => {{1,2},{3,6},{4,7},{5,10},{8,11},{9,12}} => {{1,2,12},{3,7},{4,6,10},{5,11},{8},{9}}
[[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]] => {{1,2},{3,6},{4,8},{5,9},{7,10},{11,12}} => {{1,2,10},{3,9},{4,6,12},{5,8},{7},{11}}
[[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]] => {{1,2},{3,6},{4,8},{5,9},{7,11},{10,12}} => {{1,2,12},{3,9},{4,6,11},{5,8},{7},{10}}
[[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]] => {{1,2},{3,6},{4,8},{5,10},{7,11},{9,12}} => {{1,2,12},{3,11},{4,6,10},{5,8},{7},{9}}
[[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]] => {{1,2},{3,6},{4,9},{5,10},{7,11},{8,12}} => {{1,2,12},{3,11},{4,6,9},{5,10},{7},{8}}
[[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]] => {{1,2},{3,7},{4,8},{5,9},{6,10},{11,12}} => {{1,2,10},{3,9},{4,8},{5,7},{6,12},{11}}
[[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]] => {{1,2},{3,7},{4,8},{5,9},{6,11},{10,12}} => {{1,2,12},{3,9},{4,8},{5,7},{6,11},{10}}
[[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]] => {{1,2},{3,7},{4,8},{5,10},{6,11},{9,12}} => {{1,2,12},{3,11},{4,8},{5,7},{6,10},{9}}
[[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]] => {{1,2},{3,7},{4,9},{5,10},{6,11},{8,12}} => {{1,2,12},{3,11},{4,10},{5,7},{6,9},{8}}
[[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]] => {{1,2},{3,8},{4,9},{5,10},{6,11},{7,12}} => {{1,2,12},{3,11},{4,10},{5,9},{6,8},{7}}
[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]] => {{1,3},{2,4},{5,6},{7,8},{9,10},{11,12}} => {{1,4,8},{2,3,6,12},{5,10},{7},{9},{11}}
[[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]] => {{1,3},{2,4},{5,6},{7,8},{9,11},{10,12}} => {{1,4,8},{2,3,6,11},{5,12},{7},{9},{10}}
[[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]] => {{1,3},{2,4},{5,6},{7,9},{8,10},{11,12}} => {{1,4,10},{2,3,6,12},{5,9},{7},{8},{11}}
[[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]] => {{1,3},{2,4},{5,6},{7,9},{8,11},{10,12}} => {{1,4,12},{2,3,6,11},{5,9},{7},{8},{10}}
[[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]] => {{1,3},{2,4},{5,6},{7,10},{8,11},{9,12}} => {{1,4,12},{2,3,6,10},{5,11},{7},{8},{9}}
[[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]] => {{1,3},{2,4},{5,7},{6,8},{9,10},{11,12}} => {{1,4,7},{2,3,8},{5,10},{6,12},{9},{11}}
[[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]] => {{1,3},{2,4},{5,7},{6,8},{9,11},{10,12}} => {{1,4,7},{2,3,8},{5,12},{6,11},{9},{10}}
[[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]] => {{1,3},{2,4},{5,7},{6,9},{8,10},{11,12}} => {{1,4,7},{2,3,10},{5,9},{6,12},{8},{11}}
[[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]] => {{1,3},{2,4},{5,7},{6,9},{8,11},{10,12}} => {{1,4,7},{2,3,12},{5,9},{6,11},{8},{10}}
[[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]] => {{1,3},{2,4},{5,7},{6,10},{8,11},{9,12}} => {{1,4,7},{2,3,12},{5,11},{6,10},{8},{9}}
[[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]] => {{1,3},{2,4},{5,8},{6,9},{7,10},{11,12}} => {{1,4,9},{2,3,10},{5,8},{6,12},{7},{11}}
[[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]] => {{1,3},{2,4},{5,8},{6,9},{7,11},{10,12}} => {{1,4,9},{2,3,12},{5,8},{6,11},{7},{10}}
[[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]] => {{1,3},{2,4},{5,8},{6,10},{7,11},{9,12}} => {{1,4,11},{2,3,12},{5,8},{6,10},{7},{9}}
[[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]] => {{1,3},{2,4},{5,9},{6,10},{7,11},{8,12}} => {{1,4,11},{2,3,12},{5,10},{6,9},{7},{8}}
[[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]] => {{1,3},{2,5},{4,6},{7,8},{9,10},{11,12}} => {{1,6,12},{2,3,5,10},{4,8},{7},{9},{11}}
[[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]] => {{1,3},{2,5},{4,6},{7,8},{9,11},{10,12}} => {{1,6,11},{2,3,5,12},{4,8},{7},{9},{10}}
[[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]] => {{1,3},{2,5},{4,6},{7,9},{8,10},{11,12}} => {{1,6,12},{2,3,5,9},{4,10},{7},{8},{11}}
[[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]] => {{1,3},{2,5},{4,6},{7,9},{8,11},{10,12}} => {{1,6,11},{2,3,5,9},{4,12},{7},{8},{10}}
[[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]] => {{1,3},{2,5},{4,6},{7,10},{8,11},{9,12}} => {{1,6,10},{2,3,5,11},{4,12},{7},{8},{9}}
[[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]] => {{1,3},{2,5},{4,7},{6,8},{9,10},{11,12}} => {{1,8},{2,3,5,10},{4,7},{6,12},{9},{11}}
[[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]] => {{1,3},{2,5},{4,7},{6,8},{9,11},{10,12}} => {{1,8},{2,3,5,12},{4,7},{6,11},{9},{10}}
[[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]] => {{1,3},{2,5},{4,7},{6,9},{8,10},{11,12}} => {{1,10},{2,3,5,9},{4,7},{6,12},{8},{11}}
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]] => {{1,3},{2,5},{4,7},{6,9},{8,11},{10,12}} => {{1,12},{2,3,5,9},{4,7},{6,11},{8},{10}}
[[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]] => {{1,3},{2,5},{4,7},{6,10},{8,11},{9,12}} => {{1,12},{2,3,5,11},{4,7},{6,10},{8},{9}}
[[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]] => {{1,3},{2,5},{4,8},{6,9},{7,10},{11,12}} => {{1,10},{2,3,5,8},{4,9},{6,12},{7},{11}}
[[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]] => {{1,3},{2,5},{4,8},{6,9},{7,11},{10,12}} => {{1,12},{2,3,5,8},{4,9},{6,11},{7},{10}}
[[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]] => {{1,3},{2,5},{4,8},{6,10},{7,11},{9,12}} => {{1,12},{2,3,5,8},{4,11},{6,10},{7},{9}}
[[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]] => {{1,3},{2,5},{4,9},{6,10},{7,11},{8,12}} => {{1,12},{2,3,5,10},{4,11},{6,9},{7},{8}}
[[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]] => {{1,3},{2,6},{4,7},{5,8},{9,10},{11,12}} => {{1,8},{2,3,7},{4,6,12},{5,10},{9},{11}}
[[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]] => {{1,3},{2,6},{4,7},{5,8},{9,11},{10,12}} => {{1,8},{2,3,7},{4,6,11},{5,12},{9},{10}}
[[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]] => {{1,3},{2,6},{4,7},{5,9},{8,10},{11,12}} => {{1,10},{2,3,7},{4,6,12},{5,9},{8},{11}}
[[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]] => {{1,3},{2,6},{4,7},{5,9},{8,11},{10,12}} => {{1,12},{2,3,7},{4,6,11},{5,9},{8},{10}}
[[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]] => {{1,3},{2,6},{4,7},{5,10},{8,11},{9,12}} => {{1,12},{2,3,7},{4,6,10},{5,11},{8},{9}}
[[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]] => {{1,3},{2,6},{4,8},{5,9},{7,10},{11,12}} => {{1,10},{2,3,9},{4,6,12},{5,8},{7},{11}}
[[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]] => {{1,3},{2,6},{4,8},{5,9},{7,11},{10,12}} => {{1,12},{2,3,9},{4,6,11},{5,8},{7},{10}}
[[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]] => {{1,3},{2,6},{4,8},{5,10},{7,11},{9,12}} => {{1,12},{2,3,11},{4,6,10},{5,8},{7},{9}}
[[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]] => {{1,3},{2,6},{4,9},{5,10},{7,11},{8,12}} => {{1,12},{2,3,11},{4,6,9},{5,10},{7},{8}}
[[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]] => {{1,3},{2,7},{4,8},{5,9},{6,10},{11,12}} => {{1,10},{2,3,9},{4,8},{5,7},{6,12},{11}}
[[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]] => {{1,3},{2,7},{4,8},{5,9},{6,11},{10,12}} => {{1,12},{2,3,9},{4,8},{5,7},{6,11},{10}}
[[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]] => {{1,3},{2,7},{4,8},{5,10},{6,11},{9,12}} => {{1,12},{2,3,11},{4,8},{5,7},{6,10},{9}}
[[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]] => {{1,3},{2,7},{4,9},{5,10},{6,11},{8,12}} => {{1,12},{2,3,11},{4,10},{5,7},{6,9},{8}}
[[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]] => {{1,3},{2,8},{4,9},{5,10},{6,11},{7,12}} => {{1,12},{2,3,11},{4,10},{5,9},{6,8},{7}}
[[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]] => {{1,4},{2,5},{3,6},{7,8},{9,10},{11,12}} => {{1,6,12},{2,5,10},{3,4,8},{7},{9},{11}}
[[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]] => {{1,4},{2,5},{3,6},{7,8},{9,11},{10,12}} => {{1,6,11},{2,5,12},{3,4,8},{7},{9},{10}}
[[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]] => {{1,4},{2,5},{3,6},{7,9},{8,10},{11,12}} => {{1,6,12},{2,5,9},{3,4,10},{7},{8},{11}}
[[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]] => {{1,4},{2,5},{3,6},{7,9},{8,11},{10,12}} => {{1,6,11},{2,5,9},{3,4,12},{7},{8},{10}}
[[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]] => {{1,4},{2,5},{3,6},{7,10},{8,11},{9,12}} => {{1,6,10},{2,5,11},{3,4,12},{7},{8},{9}}
[[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]] => {{1,4},{2,5},{3,7},{6,8},{9,10},{11,12}} => {{1,8},{2,5,10},{3,4,7},{6,12},{9},{11}}
[[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]] => {{1,4},{2,5},{3,7},{6,8},{9,11},{10,12}} => {{1,8},{2,5,12},{3,4,7},{6,11},{9},{10}}
[[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]] => {{1,4},{2,5},{3,7},{6,9},{8,10},{11,12}} => {{1,10},{2,5,9},{3,4,7},{6,12},{8},{11}}
[[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]] => {{1,4},{2,5},{3,7},{6,9},{8,11},{10,12}} => {{1,12},{2,5,9},{3,4,7},{6,11},{8},{10}}
[[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]] => {{1,4},{2,5},{3,7},{6,10},{8,11},{9,12}} => {{1,12},{2,5,11},{3,4,7},{6,10},{8},{9}}
[[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]] => {{1,4},{2,5},{3,8},{6,9},{7,10},{11,12}} => {{1,10},{2,5,8},{3,4,9},{6,12},{7},{11}}
[[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]] => {{1,4},{2,5},{3,8},{6,9},{7,11},{10,12}} => {{1,12},{2,5,8},{3,4,9},{6,11},{7},{10}}
[[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]] => {{1,4},{2,5},{3,8},{6,10},{7,11},{9,12}} => {{1,12},{2,5,8},{3,4,11},{6,10},{7},{9}}
[[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]] => {{1,4},{2,5},{3,9},{6,10},{7,11},{8,12}} => {{1,12},{2,5,10},{3,4,11},{6,9},{7},{8}}
[[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]] => {{1,4},{2,6},{3,7},{5,8},{9,10},{11,12}} => {{1,8},{2,7},{3,4,6,12},{5,10},{9},{11}}
[[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]] => {{1,4},{2,6},{3,7},{5,8},{9,11},{10,12}} => {{1,8},{2,7},{3,4,6,11},{5,12},{9},{10}}
[[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]] => {{1,4},{2,6},{3,7},{5,9},{8,10},{11,12}} => {{1,10},{2,7},{3,4,6,12},{5,9},{8},{11}}
[[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]] => {{1,4},{2,6},{3,7},{5,9},{8,11},{10,12}} => {{1,12},{2,7},{3,4,6,11},{5,9},{8},{10}}
[[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]] => {{1,4},{2,6},{3,7},{5,10},{8,11},{9,12}} => {{1,12},{2,7},{3,4,6,10},{5,11},{8},{9}}
[[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]] => {{1,4},{2,6},{3,8},{5,9},{7,10},{11,12}} => {{1,10},{2,9},{3,4,6,12},{5,8},{7},{11}}
[[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]] => {{1,4},{2,6},{3,8},{5,9},{7,11},{10,12}} => {{1,12},{2,9},{3,4,6,11},{5,8},{7},{10}}
[[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]] => {{1,4},{2,6},{3,8},{5,10},{7,11},{9,12}} => {{1,12},{2,11},{3,4,6,10},{5,8},{7},{9}}
[[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]] => {{1,4},{2,6},{3,9},{5,10},{7,11},{8,12}} => {{1,12},{2,11},{3,4,6,9},{5,10},{7},{8}}
[[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]] => {{1,4},{2,7},{3,8},{5,9},{6,10},{11,12}} => {{1,10},{2,9},{3,4,8},{5,7},{6,12},{11}}
[[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]] => {{1,4},{2,7},{3,8},{5,9},{6,11},{10,12}} => {{1,12},{2,9},{3,4,8},{5,7},{6,11},{10}}
[[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]] => {{1,4},{2,7},{3,8},{5,10},{6,11},{9,12}} => {{1,12},{2,11},{3,4,8},{5,7},{6,10},{9}}
[[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]] => {{1,4},{2,7},{3,9},{5,10},{6,11},{8,12}} => {{1,12},{2,11},{3,4,10},{5,7},{6,9},{8}}
[[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]] => {{1,4},{2,8},{3,9},{5,10},{6,11},{7,12}} => {{1,12},{2,11},{3,4,10},{5,9},{6,8},{7}}
[[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]] => {{1,5},{2,6},{3,7},{4,8},{9,10},{11,12}} => {{1,8},{2,7},{3,6,12},{4,5,10},{9},{11}}
[[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]] => {{1,5},{2,6},{3,7},{4,8},{9,11},{10,12}} => {{1,8},{2,7},{3,6,11},{4,5,12},{9},{10}}
[[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]] => {{1,5},{2,6},{3,7},{4,9},{8,10},{11,12}} => {{1,10},{2,7},{3,6,12},{4,5,9},{8},{11}}
[[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]] => {{1,5},{2,6},{3,7},{4,9},{8,11},{10,12}} => {{1,12},{2,7},{3,6,11},{4,5,9},{8},{10}}
[[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]] => {{1,5},{2,6},{3,7},{4,10},{8,11},{9,12}} => {{1,12},{2,7},{3,6,10},{4,5,11},{8},{9}}
[[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]] => {{1,5},{2,6},{3,8},{4,9},{7,10},{11,12}} => {{1,10},{2,9},{3,6,12},{4,5,8},{7},{11}}
[[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]] => {{1,5},{2,6},{3,8},{4,9},{7,11},{10,12}} => {{1,12},{2,9},{3,6,11},{4,5,8},{7},{10}}
[[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]] => {{1,5},{2,6},{3,8},{4,10},{7,11},{9,12}} => {{1,12},{2,11},{3,6,10},{4,5,8},{7},{9}}
[[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]] => {{1,5},{2,6},{3,9},{4,10},{7,11},{8,12}} => {{1,12},{2,11},{3,6,9},{4,5,10},{7},{8}}
[[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]] => {{1,5},{2,7},{3,8},{4,9},{6,10},{11,12}} => {{1,10},{2,9},{3,8},{4,5,7},{6,12},{11}}
[[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]] => {{1,5},{2,7},{3,8},{4,9},{6,11},{10,12}} => {{1,12},{2,9},{3,8},{4,5,7},{6,11},{10}}
[[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]] => {{1,5},{2,7},{3,8},{4,10},{6,11},{9,12}} => {{1,12},{2,11},{3,8},{4,5,7},{6,10},{9}}
[[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]] => {{1,5},{2,7},{3,9},{4,10},{6,11},{8,12}} => {{1,12},{2,11},{3,10},{4,5,7},{6,9},{8}}
[[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]] => {{1,5},{2,8},{3,9},{4,10},{6,11},{7,12}} => {{1,12},{2,11},{3,10},{4,5,9},{6,8},{7}}
[[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]] => {{1,6},{2,7},{3,8},{4,9},{5,10},{11,12}} => {{1,10},{2,9},{3,8},{4,7},{5,6,12},{11}}
[[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]] => {{1,6},{2,7},{3,8},{4,9},{5,11},{10,12}} => {{1,12},{2,9},{3,8},{4,7},{5,6,11},{10}}
[[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]] => {{1,6},{2,7},{3,8},{4,10},{5,11},{9,12}} => {{1,12},{2,11},{3,8},{4,7},{5,6,10},{9}}
[[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]] => {{1,6},{2,7},{3,9},{4,10},{5,11},{8,12}} => {{1,12},{2,11},{3,10},{4,7},{5,6,9},{8}}
[[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]] => {{1,6},{2,8},{3,9},{4,10},{5,11},{7,12}} => {{1,12},{2,11},{3,10},{4,9},{5,6,8},{7}}
[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]] => {{1,7},{2,8},{3,9},{4,10},{5,11},{6,12}} => {{1,12},{2,11},{3,10},{4,9},{5,8},{6,7}}
[[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}}
[[1,2,3,4,5,6,9],[7,8]] => {{1,2,3,4,5,6,9},{7,8}} => {{1,2,3,4,5,6,8,9},{7}}
[[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}}
[[1,2,3,4,5,9],[6,7,8]] => {{1,2,3,4,5,9},{6,7,8}} => {{1,2,3,4,5,7},{6,8,9}}
[[1,2,3,4,5,9],[6,7],[8]] => {{1,2,3,4,5,9},{6,7},{8}} => {{1,2,3,4,5,7},{6},{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}}
[[1,2,3,4,9],[5,6],[7],[8]] => {{1,2,3,4,9},{5,6},{7},{8}} => {{1,2,3,4,6},{5},{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}}
[[1,2,3,9],[4,5],[6],[7],[8]] => {{1,2,3,9},{4,5},{6},{7},{8}} => {{1,2,3,5},{4},{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}}
[[1,2,9],[3,4],[5],[6],[7],[8]] => {{1,2,9},{3,4},{5},{6},{7},{8}} => {{1,2,4},{3},{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}}
[[1,3],[2,9],[4],[5],[6],[7],[8]] => {{1,3},{2,9},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7,9},{8}}
[[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}}
[[1,2,3,4,5,6,7,10],[8,9]] => {{1,2,3,4,5,6,7,10},{8,9}} => {{1,2,3,4,5,6,7,9,10},{8}}
[[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}}
[[1,2,3,4,5,6,10],[7,8,9]] => {{1,2,3,4,5,6,10},{7,8,9}} => {{1,2,3,4,5,6,8},{7,9,10}}
[[1,2,3,4,5,6,10],[7,8],[9]] => {{1,2,3,4,5,6,10},{7,8},{9}} => {{1,2,3,4,5,6,8},{7},{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}}
[[1,2,3,4,5,10],[6,7,8,9]] => {{1,2,3,4,5,10},{6,7,8,9}} => {{1,2,3,4,5,7,9,10},{6,8}}
[[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}}
[[1,2,3,4,10],[5,6],[7],[8],[9]] => {{1,2,3,4,10},{5,6},{7},{8},{9}} => {{1,2,3,4,6},{5},{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}}
[[1,2,3,10],[4,5],[6],[7],[8],[9]] => {{1,2,3,10},{4,5},{6},{7},{8},{9}} => {{1,2,3,5},{4},{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}}
[[1,2,10],[3,4],[5],[6],[7],[8],[9]] => {{1,2,10},{3,4},{5},{6},{7},{8},{9}} => {{1,2,4},{3},{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}}
[] => {} => {}
[[1,2,4,5,6,7,8,9],[3]] => {{1,2,4,5,6,7,8,9},{3}} => {{1,2},{3,4,5,6,7,8,9}}
[[1,6,8,9],[2],[3],[4],[5],[7]] => {{1,6,8,9},{2},{3},{4},{5},{7}} => {{1},{2},{3},{4},{5,6},{7,8,9}}
[[1,7,9],[2],[3],[4],[5],[6],[8]] => {{1,7,9},{2},{3},{4},{5},{6},{8}} => {{1},{2},{3},{4},{5},{6,7},{8,9}}
[[1,8],[2],[3],[4],[5],[6],[7],[9]] => {{1,8},{2},{3},{4},{5},{6},{7},{9}} => {{1},{2},{3},{4},{5},{6},{7,8},{9}}
[[1,2,4,5,6,7,8,9,10],[3]] => {{1,2,4,5,6,7,8,9,10},{3}} => {{1,2},{3,4,5,6,7,8,9,10}}
[[1,3,4,6,7,8,9,10],[2,5]] => {{1,3,4,6,7,8,9,10},{2,5}} => {{1,5,6,7,8,9,10},{2,3,4}}
[[1,8,10],[2],[3],[4],[5],[6],[7],[9]] => {{1,8,10},{2},{3},{4},{5},{6},{7},{9}} => {{1},{2},{3},{4},{5},{6},{7,8},{9,10}}
[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => {{1,9},{2},{3},{4},{5},{6},{7},{8},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8,9},{10}}
[[1,3,4,5,6,7,8],[2],[9]] => {{1,3,4,5,6,7,8},{2},{9}} => {{1},{2,3,4,5,6,7,8},{9}}
[[1,3,4,5,6,7],[2,9],[8]] => {{1,3,4,5,6,7},{2,9},{8}} => {{1},{2,3,4,5,6,7,9},{8}}
[[1,3,4,5,6],[2,8,9],[7]] => {{1,3,4,5,6},{2,8,9},{7}} => {{1},{2,3,4,5,6,8},{7,9}}
[[1,3,4],[2],[5],[6],[7],[8],[9]] => {{1,3,4},{2},{5},{6},{7},{8},{9}} => {{1},{2,3,4},{5},{6},{7},{8},{9}}
[[1,3],[2],[4],[5],[6],[7],[8],[9]] => {{1,3},{2},{4},{5},{6},{7},{8},{9}} => {{1},{2,3},{4},{5},{6},{7},{8},{9}}
[[1,3,4,5,6,7,8,9],[2],[10]] => {{1,3,4,5,6,7,8,9},{2},{10}} => {{1},{2,3,4,5,6,7,8,9},{10}}
[[1,3,4,5,6,7,8],[2,10],[9]] => {{1,3,4,5,6,7,8},{2,10},{9}} => {{1},{2,3,4,5,6,7,8,10},{9}}
[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]] => {{1,3},{2},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2,3},{4},{5},{6},{7},{8},{9},{10}}
[[1,2,4,5,6,7,8,10],[3,9]] => {{1,2,4,5,6,7,8,10},{3,9}} => {{1,2,9,10},{3,4,5,6,7,8}}
[[1,2,4,5,6,7,9,10],[3,8]] => {{1,2,4,5,6,7,9,10},{3,8}} => {{1,2,8,9,10},{3,4,5,6,7}}
[[1,2,4,5,6,8,9,10],[3,7]] => {{1,2,4,5,6,8,9,10},{3,7}} => {{1,2,7,8,9,10},{3,4,5,6}}
[[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},{5,6,9,10}}
[[1,2,3,4,7,8,9,10],[5,6]] => {{1,2,3,4,7,8,9,10},{5,6}} => {{1,2,3,4,6,7,8,9,10},{5}}
[[1,2,3,5,6,7,8,10],[4,9]] => {{1,2,3,5,6,7,8,10},{4,9}} => {{1,2,3,9,10},{4,5,6,7,8}}
[[1,2,3,5,6,7,9,10],[4,8]] => {{1,2,3,5,6,7,9,10},{4,8}} => {{1,2,3,8,9,10},{4,5,6,7}}
[[1,2,3,5,6,8,9,10],[4,7]] => {{1,2,3,5,6,8,9,10},{4,7}} => {{1,2,3,7,8,9,10},{4,5,6}}
[[1,2,3,5,6,7,8,9,10],[4]] => {{1,2,3,5,6,7,8,9,10},{4}} => {{1,2,3},{4,5,6,7,8,9,10}}
[[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}}
[[1,2,3,4,5,6,9,10],[7,8]] => {{1,2,3,4,5,6,9,10},{7,8}} => {{1,2,3,4,5,6,8,9,10},{7}}
[[1,2,3,4,5,7,8,10],[6,9]] => {{1,2,3,4,5,7,8,10},{6,9}} => {{1,2,3,4,5,9,10},{6,7,8}}
[[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}}
[[1,2,3,4,5,6,7,9,10],[8]] => {{1,2,3,4,5,6,7,9,10},{8}} => {{1,2,3,4,5,6,7},{8,9,10}}
[[1,2,3,4,5,6,8,9,10],[7]] => {{1,2,3,4,5,6,8,9,10},{7}} => {{1,2,3,4,5,6},{7,8,9,10}}
[[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},{6,7,8,9,10}}
[[1,2,4,5,6,7,8,10,11,12],[3,9]] => {{1,2,4,5,6,7,8,10,11,12},{3,9}} => {{1,2,9,10,11,12},{3,4,5,6,7,8}}
[[1,2,4,5,6,7,9,10,11,12],[3,8]] => {{1,2,4,5,6,7,9,10,11,12},{3,8}} => {{1,2,8,9,10,11,12},{3,4,5,6,7}}
[[1,2,3,5,6,9,10,12],[4,7,8,11]] => {{1,2,3,5,6,9,10,12},{4,7,8,11}} => {{1,2,3,7,11,12},{4,5,6,8,9,10}}
[[1,2,3,5,6,8,9,10,11,12],[4,7]] => {{1,2,3,5,6,8,9,10,11,12},{4,7}} => {{1,2,3,7,8,9,10,11,12},{4,5,6}}
[[1,2,3,5,6,7,8,9,11,12],[4,10]] => {{1,2,3,5,6,7,8,9,11,12},{4,10}} => {{1,2,3,10,11,12},{4,5,6,7,8,9}}
[[1,2,3,5,6,7,8,10,11,12],[4,9]] => {{1,2,3,5,6,7,8,10,11,12},{4,9}} => {{1,2,3,9,10,11,12},{4,5,6,7,8}}
[[1,2,3,4,6,7,8,10,12],[5,9,11]] => {{1,2,3,4,6,7,8,10,12},{5,9,11}} => {{1,2,3,4,9,10},{5,6,7,8,11,12}}
[[1,2,3,4,6,7,8,9,10,12],[5,11]] => {{1,2,3,4,6,7,8,9,10,12},{5,11}} => {{1,2,3,4,11,12},{5,6,7,8,9,10}}
[[1,2,3,4,6,7,8,9,11,12],[5,10]] => {{1,2,3,4,6,7,8,9,11,12},{5,10}} => {{1,2,3,4,10,11,12},{5,6,7,8,9}}
[[1,2,3,4,5,6,7,9,10,12],[8,11]] => {{1,2,3,4,5,6,7,9,10,12},{8,11}} => {{1,2,3,4,5,6,7,11,12},{8,9,10}}
[[1,2,3,4,5,7,8,10,11,12],[6,9]] => {{1,2,3,4,5,7,8,10,11,12},{6,9}} => {{1,2,3,4,5,9,10,11,12},{6,7,8}}
[[1,7,8],[2],[3],[4],[5],[6],[9]] => {{1,7,8},{2},{3},{4},{5},{6},{9}} => {{1},{2},{3},{4},{5},{6,7,8},{9}}
[[1,2,3,6,7,8,9],[4,5]] => {{1,2,3,6,7,8,9},{4,5}} => {{1,2,3,5,6,7,8,9},{4}}
[[1,2,3,8,9],[4,5],[6,7]] => {{1,2,3,8,9},{4,5},{6,7}} => {{1,2,3,5},{4,7,8,9},{6}}
[[1,2,3,4,8,9,10],[5,6,7]] => {{1,2,3,4,8,9,10},{5,6,7}} => {{1,2,3,4,6},{5,7,8,9,10}}
[[1,2,5,10],[3,7],[4,9],[6],[8]] => {{1,2,5,10},{3,7},{4,9},{6},{8}} => {{1,2},{3},{4,5,7},{6,9,10},{8}}
[[1,2,3,4,7,8],[5,6],[9]] => {{1,2,3,4,7,8},{5,6},{9}} => {{1,2,3,4,6,7,8},{5},{9}}
[[1,2,3,4,9,10],[5,6],[7,8]] => {{1,2,3,4,9,10},{5,6},{7,8}} => {{1,2,3,4,6},{5,8,9,10},{7}}
Map
rows
Description
The set partition whose blocks are the rows of the tableau.
Map
inverse Yip
Description
The inverse of a transformation of set partitions due to Yip.
Return the set partition of $\{1,...,n\}$ corresponding to the set of arcs, interpreted as a rook placement, applying Yip's bijection $\psi^{-1}$.
Return the set partition of $\{1,...,n\}$ corresponding to the set of arcs, interpreted as a rook placement, applying Yip's bijection $\psi^{-1}$.
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