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Identifier
Mp00258: Set partitions —Standard tableau associated to a set partition⟶ Standard tableaux
Images
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Cc0009;cc-rep-0Cc0007;cc-rep-1
{{1}}=>[[1]] {{1,2}}=>[[1,2]] {{1},{2}}=>[[1],[2]] {{1,2,3}}=>[[1,2,3]] {{1,2},{3}}=>[[1,2],[3]] {{1,3},{2}}=>[[1,3],[2]] {{1},{2,3}}=>[[1,3],[2]] {{1},{2},{3}}=>[[1],[2],[3]] {{1,2,3,4}}=>[[1,2,3,4]] {{1,2,3},{4}}=>[[1,2,3],[4]] {{1,2,4},{3}}=>[[1,2,4],[3]] {{1,2},{3,4}}=>[[1,2],[3,4]] {{1,2},{3},{4}}=>[[1,2],[3],[4]] {{1,3,4},{2}}=>[[1,3,4],[2]] {{1,3},{2,4}}=>[[1,3],[2,4]] {{1,3},{2},{4}}=>[[1,3],[2],[4]] {{1,4},{2,3}}=>[[1,3],[2,4]] {{1},{2,3,4}}=>[[1,3,4],[2]] {{1},{2,3},{4}}=>[[1,3],[2],[4]] {{1,4},{2},{3}}=>[[1,4],[2],[3]] {{1},{2,4},{3}}=>[[1,4],[2],[3]] {{1},{2},{3,4}}=>[[1,4],[2],[3]] {{1},{2},{3},{4}}=>[[1],[2],[3],[4]] {{1,2,3,4,5}}=>[[1,2,3,4,5]] {{1,2,3,4},{5}}=>[[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]] {{1,2,4,5},{3}}=>[[1,2,4,5],[3]] {{1,2,4},{3,5}}=>[[1,2,4],[3,5]] {{1,2,4},{3},{5}}=>[[1,2,4],[3],[5]] {{1,2,5},{3,4}}=>[[1,2,5],[3,4]] {{1,2},{3,4,5}}=>[[1,2,5],[3,4]] {{1,2},{3,4},{5}}=>[[1,2],[3,4],[5]] {{1,2,5},{3},{4}}=>[[1,2,5],[3],[4]] {{1,2},{3,5},{4}}=>[[1,2],[3,5],[4]] {{1,2},{3},{4,5}}=>[[1,2],[3,5],[4]] {{1,2},{3},{4},{5}}=>[[1,2],[3],[4],[5]] {{1,3,4,5},{2}}=>[[1,3,4,5],[2]] {{1,3,4},{2,5}}=>[[1,3,4],[2,5]] {{1,3,4},{2},{5}}=>[[1,3,4],[2],[5]] {{1,3,5},{2,4}}=>[[1,3,5],[2,4]] {{1,3},{2,4,5}}=>[[1,3,5],[2,4]] {{1,3},{2,4},{5}}=>[[1,3],[2,4],[5]] {{1,3,5},{2},{4}}=>[[1,3,5],[2],[4]] {{1,3},{2,5},{4}}=>[[1,3],[2,5],[4]] {{1,3},{2},{4,5}}=>[[1,3],[2,5],[4]] {{1,3},{2},{4},{5}}=>[[1,3],[2],[4],[5]] {{1,4,5},{2,3}}=>[[1,3,5],[2,4]] {{1,4},{2,3,5}}=>[[1,3,5],[2,4]] {{1,4},{2,3},{5}}=>[[1,3],[2,4],[5]] {{1,5},{2,3,4}}=>[[1,3,4],[2,5]] {{1},{2,3,4,5}}=>[[1,3,4,5],[2]] {{1},{2,3,4},{5}}=>[[1,3,4],[2],[5]] {{1,5},{2,3},{4}}=>[[1,3],[2,5],[4]] {{1},{2,3,5},{4}}=>[[1,3,5],[2],[4]] {{1},{2,3},{4,5}}=>[[1,3],[2,5],[4]] {{1},{2,3},{4},{5}}=>[[1,3],[2],[4],[5]] {{1,4,5},{2},{3}}=>[[1,4,5],[2],[3]] {{1,4},{2,5},{3}}=>[[1,4],[2,5],[3]] {{1,4},{2},{3,5}}=>[[1,4],[2,5],[3]] {{1,4},{2},{3},{5}}=>[[1,4],[2],[3],[5]] {{1,5},{2,4},{3}}=>[[1,4],[2,5],[3]] {{1},{2,4,5},{3}}=>[[1,4,5],[2],[3]] {{1},{2,4},{3,5}}=>[[1,4],[2,5],[3]] {{1},{2,4},{3},{5}}=>[[1,4],[2],[3],[5]] {{1,5},{2},{3,4}}=>[[1,4],[2,5],[3]] {{1},{2,5},{3,4}}=>[[1,4],[2,5],[3]] {{1},{2},{3,4,5}}=>[[1,4,5],[2],[3]] {{1},{2},{3,4},{5}}=>[[1,4],[2],[3],[5]] {{1,5},{2},{3},{4}}=>[[1,5],[2],[3],[4]] {{1},{2,5},{3},{4}}=>[[1,5],[2],[3],[4]] {{1},{2},{3,5},{4}}=>[[1,5],[2],[3],[4]] {{1},{2},{3},{4,5}}=>[[1,5],[2],[3],[4]] {{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}}=>[[1,2,3,4,5],[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]] {{1,2,3,5,6},{4}}=>[[1,2,3,5,6],[4]] {{1,2,3,5},{4,6}}=>[[1,2,3,5],[4,6]] {{1,2,3,5},{4},{6}}=>[[1,2,3,5],[4],[6]] {{1,2,3,6},{4,5}}=>[[1,2,3,6],[4,5]] {{1,2,3},{4,5,6}}=>[[1,2,3],[4,5,6]] {{1,2,3},{4,5},{6}}=>[[1,2,3],[4,5],[6]] {{1,2,3,6},{4},{5}}=>[[1,2,3,6],[4],[5]] {{1,2,3},{4,6},{5}}=>[[1,2,3],[4,6],[5]] {{1,2,3},{4},{5,6}}=>[[1,2,3],[4,6],[5]] {{1,2,3},{4},{5},{6}}=>[[1,2,3],[4],[5],[6]] {{1,2,4,5,6},{3}}=>[[1,2,4,5,6],[3]] {{1,2,4,5},{3,6}}=>[[1,2,4,5],[3,6]] {{1,2,4,5},{3},{6}}=>[[1,2,4,5],[3],[6]] {{1,2,4,6},{3,5}}=>[[1,2,4,6],[3,5]] {{1,2,4},{3,5,6}}=>[[1,2,4],[3,5,6]] {{1,2,4},{3,5},{6}}=>[[1,2,4],[3,5],[6]] {{1,2,4,6},{3},{5}}=>[[1,2,4,6],[3],[5]] {{1,2,4},{3,6},{5}}=>[[1,2,4],[3,6],[5]] {{1,2,4},{3},{5,6}}=>[[1,2,4],[3,6],[5]] {{1,2,4},{3},{5},{6}}=>[[1,2,4],[3],[5],[6]] {{1,2,5,6},{3,4}}=>[[1,2,5,6],[3,4]] {{1,2,5},{3,4,6}}=>[[1,2,5],[3,4,6]] {{1,2,5},{3,4},{6}}=>[[1,2,5],[3,4],[6]] {{1,2,6},{3,4,5}}=>[[1,2,5],[3,4,6]] {{1,2},{3,4,5,6}}=>[[1,2,5,6],[3,4]] {{1,2},{3,4,5},{6}}=>[[1,2,5],[3,4],[6]] {{1,2,6},{3,4},{5}}=>[[1,2,6],[3,4],[5]] {{1,2},{3,4,6},{5}}=>[[1,2,6],[3,4],[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]] {{1,2,5,6},{3},{4}}=>[[1,2,5,6],[3],[4]] {{1,2,5},{3,6},{4}}=>[[1,2,5],[3,6],[4]] {{1,2,5},{3},{4,6}}=>[[1,2,5],[3,6],[4]] {{1,2,5},{3},{4},{6}}=>[[1,2,5],[3],[4],[6]] {{1,2,6},{3,5},{4}}=>[[1,2,6],[3,5],[4]] {{1,2},{3,5,6},{4}}=>[[1,2,6],[3,5],[4]] {{1,2},{3,5},{4,6}}=>[[1,2],[3,5],[4,6]] {{1,2},{3,5},{4},{6}}=>[[1,2],[3,5],[4],[6]] {{1,2,6},{3},{4,5}}=>[[1,2,6],[3,5],[4]] {{1,2},{3,6},{4,5}}=>[[1,2],[3,5],[4,6]] {{1,2},{3},{4,5,6}}=>[[1,2,6],[3,5],[4]] {{1,2},{3},{4,5},{6}}=>[[1,2],[3,5],[4],[6]] {{1,2,6},{3},{4},{5}}=>[[1,2,6],[3],[4],[5]] {{1,2},{3,6},{4},{5}}=>[[1,2],[3,6],[4],[5]] {{1,2},{3},{4,6},{5}}=>[[1,2],[3,6],[4],[5]] {{1,2},{3},{4},{5,6}}=>[[1,2],[3,6],[4],[5]] {{1,2},{3},{4},{5},{6}}=>[[1,2],[3],[4],[5],[6]] {{1,3,4,5,6},{2}}=>[[1,3,4,5,6],[2]] {{1,3,4,5},{2,6}}=>[[1,3,4,5],[2,6]] {{1,3,4,5},{2},{6}}=>[[1,3,4,5],[2],[6]] {{1,3,4,6},{2,5}}=>[[1,3,4,6],[2,5]] {{1,3,4},{2,5,6}}=>[[1,3,4],[2,5,6]] {{1,3,4},{2,5},{6}}=>[[1,3,4],[2,5],[6]] {{1,3,4,6},{2},{5}}=>[[1,3,4,6],[2],[5]] {{1,3,4},{2,6},{5}}=>[[1,3,4],[2,6],[5]] {{1,3,4},{2},{5,6}}=>[[1,3,4],[2,6],[5]] {{1,3,4},{2},{5},{6}}=>[[1,3,4],[2],[5],[6]] {{1,3,5,6},{2,4}}=>[[1,3,5,6],[2,4]] {{1,3,5},{2,4,6}}=>[[1,3,5],[2,4,6]] {{1,3,5},{2,4},{6}}=>[[1,3,5],[2,4],[6]] {{1,3,6},{2,4,5}}=>[[1,3,5],[2,4,6]] {{1,3},{2,4,5,6}}=>[[1,3,5,6],[2,4]] {{1,3},{2,4,5},{6}}=>[[1,3,5],[2,4],[6]] {{1,3,6},{2,4},{5}}=>[[1,3,6],[2,4],[5]] {{1,3},{2,4,6},{5}}=>[[1,3,6],[2,4],[5]] {{1,3},{2,4},{5,6}}=>[[1,3],[2,4],[5,6]] {{1,3},{2,4},{5},{6}}=>[[1,3],[2,4],[5],[6]] {{1,3,5,6},{2},{4}}=>[[1,3,5,6],[2],[4]] {{1,3,5},{2,6},{4}}=>[[1,3,5],[2,6],[4]] {{1,3,5},{2},{4,6}}=>[[1,3,5],[2,6],[4]] {{1,3,5},{2},{4},{6}}=>[[1,3,5],[2],[4],[6]] {{1,3,6},{2,5},{4}}=>[[1,3,6],[2,5],[4]] {{1,3},{2,5,6},{4}}=>[[1,3,6],[2,5],[4]] {{1,3},{2,5},{4,6}}=>[[1,3],[2,5],[4,6]] {{1,3},{2,5},{4},{6}}=>[[1,3],[2,5],[4],[6]] {{1,3,6},{2},{4,5}}=>[[1,3,6],[2,5],[4]] {{1,3},{2,6},{4,5}}=>[[1,3],[2,5],[4,6]] {{1,3},{2},{4,5,6}}=>[[1,3,6],[2,5],[4]] {{1,3},{2},{4,5},{6}}=>[[1,3],[2,5],[4],[6]] {{1,3,6},{2},{4},{5}}=>[[1,3,6],[2],[4],[5]] {{1,3},{2,6},{4},{5}}=>[[1,3],[2,6],[4],[5]] {{1,3},{2},{4,6},{5}}=>[[1,3],[2,6],[4],[5]] {{1,3},{2},{4},{5,6}}=>[[1,3],[2,6],[4],[5]] {{1,3},{2},{4},{5},{6}}=>[[1,3],[2],[4],[5],[6]] {{1,4,5,6},{2,3}}=>[[1,3,5,6],[2,4]] {{1,4,5},{2,3,6}}=>[[1,3,5],[2,4,6]] {{1,4,5},{2,3},{6}}=>[[1,3,5],[2,4],[6]] {{1,4,6},{2,3,5}}=>[[1,3,5],[2,4,6]] {{1,4},{2,3,5,6}}=>[[1,3,5,6],[2,4]] {{1,4},{2,3,5},{6}}=>[[1,3,5],[2,4],[6]] {{1,4,6},{2,3},{5}}=>[[1,3,6],[2,4],[5]] {{1,4},{2,3,6},{5}}=>[[1,3,6],[2,4],[5]] {{1,4},{2,3},{5,6}}=>[[1,3],[2,4],[5,6]] {{1,4},{2,3},{5},{6}}=>[[1,3],[2,4],[5],[6]] {{1,5,6},{2,3,4}}=>[[1,3,4],[2,5,6]] {{1,5},{2,3,4,6}}=>[[1,3,4,6],[2,5]] {{1,5},{2,3,4},{6}}=>[[1,3,4],[2,5],[6]] {{1,6},{2,3,4,5}}=>[[1,3,4,5],[2,6]] {{1},{2,3,4,5,6}}=>[[1,3,4,5,6],[2]] {{1},{2,3,4,5},{6}}=>[[1,3,4,5],[2],[6]] {{1,6},{2,3,4},{5}}=>[[1,3,4],[2,6],[5]] {{1},{2,3,4,6},{5}}=>[[1,3,4,6],[2],[5]] {{1},{2,3,4},{5,6}}=>[[1,3,4],[2,6],[5]] {{1},{2,3,4},{5},{6}}=>[[1,3,4],[2],[5],[6]] {{1,5,6},{2,3},{4}}=>[[1,3,6],[2,5],[4]] {{1,5},{2,3,6},{4}}=>[[1,3,6],[2,5],[4]] {{1,5},{2,3},{4,6}}=>[[1,3],[2,5],[4,6]] {{1,5},{2,3},{4},{6}}=>[[1,3],[2,5],[4],[6]] {{1,6},{2,3,5},{4}}=>[[1,3,5],[2,6],[4]] {{1},{2,3,5,6},{4}}=>[[1,3,5,6],[2],[4]] {{1},{2,3,5},{4,6}}=>[[1,3,5],[2,6],[4]] {{1},{2,3,5},{4},{6}}=>[[1,3,5],[2],[4],[6]] {{1,6},{2,3},{4,5}}=>[[1,3],[2,5],[4,6]] {{1},{2,3,6},{4,5}}=>[[1,3,6],[2,5],[4]] {{1},{2,3},{4,5,6}}=>[[1,3,6],[2,5],[4]] {{1},{2,3},{4,5},{6}}=>[[1,3],[2,5],[4],[6]] {{1,6},{2,3},{4},{5}}=>[[1,3],[2,6],[4],[5]] {{1},{2,3,6},{4},{5}}=>[[1,3,6],[2],[4],[5]] {{1},{2,3},{4,6},{5}}=>[[1,3],[2,6],[4],[5]] {{1},{2,3},{4},{5,6}}=>[[1,3],[2,6],[4],[5]] {{1},{2,3},{4},{5},{6}}=>[[1,3],[2],[4],[5],[6]] {{1,4,5,6},{2},{3}}=>[[1,4,5,6],[2],[3]] {{1,4,5},{2,6},{3}}=>[[1,4,5],[2,6],[3]] {{1,4,5},{2},{3,6}}=>[[1,4,5],[2,6],[3]] {{1,4,5},{2},{3},{6}}=>[[1,4,5],[2],[3],[6]] {{1,4,6},{2,5},{3}}=>[[1,4,6],[2,5],[3]] {{1,4},{2,5,6},{3}}=>[[1,4,6],[2,5],[3]] {{1,4},{2,5},{3,6}}=>[[1,4],[2,5],[3,6]] {{1,4},{2,5},{3},{6}}=>[[1,4],[2,5],[3],[6]] {{1,4,6},{2},{3,5}}=>[[1,4,6],[2,5],[3]] {{1,4},{2,6},{3,5}}=>[[1,4],[2,5],[3,6]] {{1,4},{2},{3,5,6}}=>[[1,4,6],[2,5],[3]] {{1,4},{2},{3,5},{6}}=>[[1,4],[2,5],[3],[6]] {{1,4,6},{2},{3},{5}}=>[[1,4,6],[2],[3],[5]] {{1,4},{2,6},{3},{5}}=>[[1,4],[2,6],[3],[5]] {{1,4},{2},{3,6},{5}}=>[[1,4],[2,6],[3],[5]] {{1,4},{2},{3},{5,6}}=>[[1,4],[2,6],[3],[5]] {{1,4},{2},{3},{5},{6}}=>[[1,4],[2],[3],[5],[6]] {{1,5,6},{2,4},{3}}=>[[1,4,6],[2,5],[3]] {{1,5},{2,4,6},{3}}=>[[1,4,6],[2,5],[3]] {{1,5},{2,4},{3,6}}=>[[1,4],[2,5],[3,6]] {{1,5},{2,4},{3},{6}}=>[[1,4],[2,5],[3],[6]] {{1,6},{2,4,5},{3}}=>[[1,4,5],[2,6],[3]] {{1},{2,4,5,6},{3}}=>[[1,4,5,6],[2],[3]] {{1},{2,4,5},{3,6}}=>[[1,4,5],[2,6],[3]] {{1},{2,4,5},{3},{6}}=>[[1,4,5],[2],[3],[6]] {{1,6},{2,4},{3,5}}=>[[1,4],[2,5],[3,6]] {{1},{2,4,6},{3,5}}=>[[1,4,6],[2,5],[3]] {{1},{2,4},{3,5,6}}=>[[1,4,6],[2,5],[3]] {{1},{2,4},{3,5},{6}}=>[[1,4],[2,5],[3],[6]] {{1,6},{2,4},{3},{5}}=>[[1,4],[2,6],[3],[5]] {{1},{2,4,6},{3},{5}}=>[[1,4,6],[2],[3],[5]] {{1},{2,4},{3,6},{5}}=>[[1,4],[2,6],[3],[5]] {{1},{2,4},{3},{5,6}}=>[[1,4],[2,6],[3],[5]] {{1},{2,4},{3},{5},{6}}=>[[1,4],[2],[3],[5],[6]] {{1,5,6},{2},{3,4}}=>[[1,4,6],[2,5],[3]] {{1,5},{2,6},{3,4}}=>[[1,4],[2,5],[3,6]] {{1,5},{2},{3,4,6}}=>[[1,4,6],[2,5],[3]] {{1,5},{2},{3,4},{6}}=>[[1,4],[2,5],[3],[6]] {{1,6},{2,5},{3,4}}=>[[1,4],[2,5],[3,6]] {{1},{2,5,6},{3,4}}=>[[1,4,6],[2,5],[3]] {{1},{2,5},{3,4,6}}=>[[1,4,6],[2,5],[3]] {{1},{2,5},{3,4},{6}}=>[[1,4],[2,5],[3],[6]] {{1,6},{2},{3,4,5}}=>[[1,4,5],[2,6],[3]] {{1},{2,6},{3,4,5}}=>[[1,4,5],[2,6],[3]] {{1},{2},{3,4,5,6}}=>[[1,4,5,6],[2],[3]] {{1},{2},{3,4,5},{6}}=>[[1,4,5],[2],[3],[6]] {{1,6},{2},{3,4},{5}}=>[[1,4],[2,6],[3],[5]] {{1},{2,6},{3,4},{5}}=>[[1,4],[2,6],[3],[5]] {{1},{2},{3,4,6},{5}}=>[[1,4,6],[2],[3],[5]] {{1},{2},{3,4},{5,6}}=>[[1,4],[2,6],[3],[5]] {{1},{2},{3,4},{5},{6}}=>[[1,4],[2],[3],[5],[6]] {{1,5,6},{2},{3},{4}}=>[[1,5,6],[2],[3],[4]] {{1,5},{2,6},{3},{4}}=>[[1,5],[2,6],[3],[4]] {{1,5},{2},{3,6},{4}}=>[[1,5],[2,6],[3],[4]] {{1,5},{2},{3},{4,6}}=>[[1,5],[2,6],[3],[4]] {{1,5},{2},{3},{4},{6}}=>[[1,5],[2],[3],[4],[6]] {{1,6},{2,5},{3},{4}}=>[[1,5],[2,6],[3],[4]] {{1},{2,5,6},{3},{4}}=>[[1,5,6],[2],[3],[4]] {{1},{2,5},{3,6},{4}}=>[[1,5],[2,6],[3],[4]] {{1},{2,5},{3},{4,6}}=>[[1,5],[2,6],[3],[4]] {{1},{2,5},{3},{4},{6}}=>[[1,5],[2],[3],[4],[6]] {{1,6},{2},{3,5},{4}}=>[[1,5],[2,6],[3],[4]] {{1},{2,6},{3,5},{4}}=>[[1,5],[2,6],[3],[4]] {{1},{2},{3,5,6},{4}}=>[[1,5,6],[2],[3],[4]] {{1},{2},{3,5},{4,6}}=>[[1,5],[2,6],[3],[4]] {{1},{2},{3,5},{4},{6}}=>[[1,5],[2],[3],[4],[6]] {{1,6},{2},{3},{4,5}}=>[[1,5],[2,6],[3],[4]] {{1},{2,6},{3},{4,5}}=>[[1,5],[2,6],[3],[4]] {{1},{2},{3,6},{4,5}}=>[[1,5],[2,6],[3],[4]] {{1},{2},{3},{4,5,6}}=>[[1,5,6],[2],[3],[4]] {{1},{2},{3},{4,5},{6}}=>[[1,5],[2],[3],[4],[6]] {{1,6},{2},{3},{4},{5}}=>[[1,6],[2],[3],[4],[5]] {{1},{2,6},{3},{4},{5}}=>[[1,6],[2],[3],[4],[5]] {{1},{2},{3,6},{4},{5}}=>[[1,6],[2],[3],[4],[5]] {{1},{2},{3},{4,6},{5}}=>[[1,6],[2],[3],[4],[5]] {{1},{2},{3},{4},{5,6}}=>[[1,6],[2],[3],[4],[5]] {{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}}=>[[1,2,3,4,5,6],[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]] {{1,2,3,4,6,7},{5}}=>[[1,2,3,4,6,7],[5]] {{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]] {{1,2,3,4,7},{5,6}}=>[[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},{5,6},{7}}=>[[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},{5,7},{6}}=>[[1,2,3,4],[5,7],[6]] {{1,2,3,4},{5},{6,7}}=>[[1,2,3,4],[5,7],[6]] {{1,2,3,4},{5},{6},{7}}=>[[1,2,3,4],[5],[6],[7]] {{1,2,3,5,6,7},{4}}=>[[1,2,3,5,6,7],[4]] {{1,2,3,5,6},{4,7}}=>[[1,2,3,5,6],[4,7]] {{1,2,3,5,6},{4},{7}}=>[[1,2,3,5,6],[4],[7]] {{1,2,3,5,7},{4,6}}=>[[1,2,3,5,7],[4,6]] {{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]] {{1,2,3,5,7},{4},{6}}=>[[1,2,3,5,7],[4],[6]] {{1,2,3,5},{4,7},{6}}=>[[1,2,3,5],[4,7],[6]] {{1,2,3,5},{4},{6,7}}=>[[1,2,3,5],[4,7],[6]] {{1,2,3,5},{4},{6},{7}}=>[[1,2,3,5],[4],[6],[7]] {{1,2,3,6,7},{4,5}}=>[[1,2,3,6,7],[4,5]] {{1,2,3,6},{4,5,7}}=>[[1,2,3,6],[4,5,7]] {{1,2,3,6},{4,5},{7}}=>[[1,2,3,6],[4,5],[7]] {{1,2,3,7},{4,5,6}}=>[[1,2,3,7],[4,5,6]] {{1,2,3},{4,5,6,7}}=>[[1,2,3,7],[4,5,6]] {{1,2,3},{4,5,6},{7}}=>[[1,2,3],[4,5,6],[7]] {{1,2,3,7},{4,5},{6}}=>[[1,2,3,7],[4,5],[6]] {{1,2,3},{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]] {{1,2,3,6,7},{4},{5}}=>[[1,2,3,6,7],[4],[5]] {{1,2,3,6},{4,7},{5}}=>[[1,2,3,6],[4,7],[5]] {{1,2,3,6},{4},{5,7}}=>[[1,2,3,6],[4,7],[5]] {{1,2,3,6},{4},{5},{7}}=>[[1,2,3,6],[4],[5],[7]] {{1,2,3,7},{4,6},{5}}=>[[1,2,3,7],[4,6],[5]] {{1,2,3},{4,6,7},{5}}=>[[1,2,3],[4,6,7],[5]] {{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]] {{1,2,3,7},{4},{5,6}}=>[[1,2,3,7],[4,6],[5]] {{1,2,3},{4,7},{5,6}}=>[[1,2,3],[4,6],[5,7]] {{1,2,3},{4},{5,6,7}}=>[[1,2,3],[4,6,7],[5]] {{1,2,3},{4},{5,6},{7}}=>[[1,2,3],[4,6],[5],[7]] {{1,2,3,7},{4},{5},{6}}=>[[1,2,3,7],[4],[5],[6]] {{1,2,3},{4,7},{5},{6}}=>[[1,2,3],[4,7],[5],[6]] {{1,2,3},{4},{5,7},{6}}=>[[1,2,3],[4,7],[5],[6]] {{1,2,3},{4},{5},{6,7}}=>[[1,2,3],[4,7],[5],[6]] {{1,2,3},{4},{5},{6},{7}}=>[[1,2,3],[4],[5],[6],[7]] {{1,2,4,5,6,7},{3}}=>[[1,2,4,5,6,7],[3]] {{1,2,4,5,6},{3,7}}=>[[1,2,4,5,6],[3,7]] {{1,2,4,5,6},{3},{7}}=>[[1,2,4,5,6],[3],[7]] {{1,2,4,5,7},{3,6}}=>[[1,2,4,5,7],[3,6]] {{1,2,4,5},{3,6,7}}=>[[1,2,4,5],[3,6,7]] {{1,2,4,5},{3,6},{7}}=>[[1,2,4,5],[3,6],[7]] {{1,2,4,5,7},{3},{6}}=>[[1,2,4,5,7],[3],[6]] {{1,2,4,5},{3,7},{6}}=>[[1,2,4,5],[3,7],[6]] {{1,2,4,5},{3},{6,7}}=>[[1,2,4,5],[3,7],[6]] {{1,2,4,5},{3},{6},{7}}=>[[1,2,4,5],[3],[6],[7]] {{1,2,4,6,7},{3,5}}=>[[1,2,4,6,7],[3,5]] {{1,2,4,6},{3,5,7}}=>[[1,2,4,6],[3,5,7]] {{1,2,4,6},{3,5},{7}}=>[[1,2,4,6],[3,5],[7]] {{1,2,4,7},{3,5,6}}=>[[1,2,4,7],[3,5,6]] {{1,2,4},{3,5,6,7}}=>[[1,2,4,7],[3,5,6]] {{1,2,4},{3,5,6},{7}}=>[[1,2,4],[3,5,6],[7]] {{1,2,4,7},{3,5},{6}}=>[[1,2,4,7],[3,5],[6]] {{1,2,4},{3,5,7},{6}}=>[[1,2,4],[3,5,7],[6]] {{1,2,4},{3,5},{6,7}}=>[[1,2,4],[3,5],[6,7]] {{1,2,4},{3,5},{6},{7}}=>[[1,2,4],[3,5],[6],[7]] {{1,2,4,6,7},{3},{5}}=>[[1,2,4,6,7],[3],[5]] {{1,2,4,6},{3,7},{5}}=>[[1,2,4,6],[3,7],[5]] {{1,2,4,6},{3},{5,7}}=>[[1,2,4,6],[3,7],[5]] {{1,2,4,6},{3},{5},{7}}=>[[1,2,4,6],[3],[5],[7]] {{1,2,4,7},{3,6},{5}}=>[[1,2,4,7],[3,6],[5]] {{1,2,4},{3,6,7},{5}}=>[[1,2,4],[3,6,7],[5]] {{1,2,4},{3,6},{5,7}}=>[[1,2,4],[3,6],[5,7]] {{1,2,4},{3,6},{5},{7}}=>[[1,2,4],[3,6],[5],[7]] {{1,2,4,7},{3},{5,6}}=>[[1,2,4,7],[3,6],[5]] {{1,2,4},{3,7},{5,6}}=>[[1,2,4],[3,6],[5,7]] {{1,2,4},{3},{5,6,7}}=>[[1,2,4],[3,6,7],[5]] {{1,2,4},{3},{5,6},{7}}=>[[1,2,4],[3,6],[5],[7]] {{1,2,4,7},{3},{5},{6}}=>[[1,2,4,7],[3],[5],[6]] {{1,2,4},{3,7},{5},{6}}=>[[1,2,4],[3,7],[5],[6]] {{1,2,4},{3},{5,7},{6}}=>[[1,2,4],[3,7],[5],[6]] {{1,2,4},{3},{5},{6,7}}=>[[1,2,4],[3,7],[5],[6]] {{1,2,4},{3},{5},{6},{7}}=>[[1,2,4],[3],[5],[6],[7]] {{1,2,5,6,7},{3,4}}=>[[1,2,5,6,7],[3,4]] {{1,2,5,6},{3,4,7}}=>[[1,2,5,6],[3,4,7]] {{1,2,5,6},{3,4},{7}}=>[[1,2,5,6],[3,4],[7]] {{1,2,5,7},{3,4,6}}=>[[1,2,5,7],[3,4,6]] {{1,2,5},{3,4,6,7}}=>[[1,2,5,7],[3,4,6]] {{1,2,5},{3,4,6},{7}}=>[[1,2,5],[3,4,6],[7]] {{1,2,5,7},{3,4},{6}}=>[[1,2,5,7],[3,4],[6]] {{1,2,5},{3,4,7},{6}}=>[[1,2,5],[3,4,7],[6]] {{1,2,5},{3,4},{6,7}}=>[[1,2,5],[3,4],[6,7]] {{1,2,5},{3,4},{6},{7}}=>[[1,2,5],[3,4],[6],[7]] {{1,2,6,7},{3,4,5}}=>[[1,2,5,7],[3,4,6]] {{1,2,6},{3,4,5,7}}=>[[1,2,5,7],[3,4,6]] {{1,2,6},{3,4,5},{7}}=>[[1,2,5],[3,4,6],[7]] {{1,2,7},{3,4,5,6}}=>[[1,2,5,6],[3,4,7]] {{1,2},{3,4,5,6,7}}=>[[1,2,5,6,7],[3,4]] {{1,2},{3,4,5,6},{7}}=>[[1,2,5,6],[3,4],[7]] {{1,2,7},{3,4,5},{6}}=>[[1,2,5],[3,4,7],[6]] {{1,2},{3,4,5,7},{6}}=>[[1,2,5,7],[3,4],[6]] {{1,2},{3,4,5},{6,7}}=>[[1,2,5],[3,4],[6,7]] {{1,2},{3,4,5},{6},{7}}=>[[1,2,5],[3,4],[6],[7]] {{1,2,6,7},{3,4},{5}}=>[[1,2,6,7],[3,4],[5]] {{1,2,6},{3,4,7},{5}}=>[[1,2,6],[3,4,7],[5]] {{1,2,6},{3,4},{5,7}}=>[[1,2,6],[3,4],[5,7]] {{1,2,6},{3,4},{5},{7}}=>[[1,2,6],[3,4],[5],[7]] {{1,2,7},{3,4,6},{5}}=>[[1,2,6],[3,4,7],[5]] {{1,2},{3,4,6,7},{5}}=>[[1,2,6,7],[3,4],[5]] {{1,2},{3,4,6},{5,7}}=>[[1,2,6],[3,4],[5,7]] {{1,2},{3,4,6},{5},{7}}=>[[1,2,6],[3,4],[5],[7]] {{1,2,7},{3,4},{5,6}}=>[[1,2,7],[3,4],[5,6]] {{1,2},{3,4,7},{5,6}}=>[[1,2,7],[3,4],[5,6]] {{1,2},{3,4},{5,6,7}}=>[[1,2,7],[3,4],[5,6]] {{1,2},{3,4},{5,6},{7}}=>[[1,2],[3,4],[5,6],[7]] {{1,2,7},{3,4},{5},{6}}=>[[1,2,7],[3,4],[5],[6]] {{1,2},{3,4,7},{5},{6}}=>[[1,2,7],[3,4],[5],[6]] {{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],[5,7],[6]] {{1,2},{3,4},{5},{6},{7}}=>[[1,2],[3,4],[5],[6],[7]] {{1,2,5,6,7},{3},{4}}=>[[1,2,5,6,7],[3],[4]] {{1,2,5,6},{3,7},{4}}=>[[1,2,5,6],[3,7],[4]] {{1,2,5,6},{3},{4,7}}=>[[1,2,5,6],[3,7],[4]] {{1,2,5,6},{3},{4},{7}}=>[[1,2,5,6],[3],[4],[7]] {{1,2,5,7},{3,6},{4}}=>[[1,2,5,7],[3,6],[4]] {{1,2,5},{3,6,7},{4}}=>[[1,2,5],[3,6,7],[4]] {{1,2,5},{3,6},{4,7}}=>[[1,2,5],[3,6],[4,7]] {{1,2,5},{3,6},{4},{7}}=>[[1,2,5],[3,6],[4],[7]] {{1,2,5,7},{3},{4,6}}=>[[1,2,5,7],[3,6],[4]] {{1,2,5},{3,7},{4,6}}=>[[1,2,5],[3,6],[4,7]] {{1,2,5},{3},{4,6,7}}=>[[1,2,5],[3,6,7],[4]] {{1,2,5},{3},{4,6},{7}}=>[[1,2,5],[3,6],[4],[7]] {{1,2,5,7},{3},{4},{6}}=>[[1,2,5,7],[3],[4],[6]] {{1,2,5},{3,7},{4},{6}}=>[[1,2,5],[3,7],[4],[6]] {{1,2,5},{3},{4,7},{6}}=>[[1,2,5],[3,7],[4],[6]] {{1,2,5},{3},{4},{6,7}}=>[[1,2,5],[3,7],[4],[6]] {{1,2,5},{3},{4},{6},{7}}=>[[1,2,5],[3],[4],[6],[7]] {{1,2,6,7},{3,5},{4}}=>[[1,2,6,7],[3,5],[4]] {{1,2,6},{3,5,7},{4}}=>[[1,2,6],[3,5,7],[4]] {{1,2,6},{3,5},{4,7}}=>[[1,2,6],[3,5],[4,7]] {{1,2,6},{3,5},{4},{7}}=>[[1,2,6],[3,5],[4],[7]] {{1,2,7},{3,5,6},{4}}=>[[1,2,6],[3,5,7],[4]] {{1,2},{3,5,6,7},{4}}=>[[1,2,6,7],[3,5],[4]] {{1,2},{3,5,6},{4,7}}=>[[1,2,6],[3,5],[4,7]] {{1,2},{3,5,6},{4},{7}}=>[[1,2,6],[3,5],[4],[7]] {{1,2,7},{3,5},{4,6}}=>[[1,2,7],[3,5],[4,6]] {{1,2},{3,5,7},{4,6}}=>[[1,2,7],[3,5],[4,6]] {{1,2},{3,5},{4,6,7}}=>[[1,2,7],[3,5],[4,6]] {{1,2},{3,5},{4,6},{7}}=>[[1,2],[3,5],[4,6],[7]] {{1,2,7},{3,5},{4},{6}}=>[[1,2,7],[3,5],[4],[6]] {{1,2},{3,5,7},{4},{6}}=>[[1,2,7],[3,5],[4],[6]] {{1,2},{3,5},{4,7},{6}}=>[[1,2],[3,5],[4,7],[6]] {{1,2},{3,5},{4},{6,7}}=>[[1,2],[3,5],[4,7],[6]] {{1,2},{3,5},{4},{6},{7}}=>[[1,2],[3,5],[4],[6],[7]] {{1,2,6,7},{3},{4,5}}=>[[1,2,6,7],[3,5],[4]] {{1,2,6},{3,7},{4,5}}=>[[1,2,6],[3,5],[4,7]] {{1,2,6},{3},{4,5,7}}=>[[1,2,6],[3,5,7],[4]] {{1,2,6},{3},{4,5},{7}}=>[[1,2,6],[3,5],[4],[7]] {{1,2,7},{3,6},{4,5}}=>[[1,2,7],[3,5],[4,6]] {{1,2},{3,6,7},{4,5}}=>[[1,2,7],[3,5],[4,6]] {{1,2},{3,6},{4,5,7}}=>[[1,2,7],[3,5],[4,6]] {{1,2},{3,6},{4,5},{7}}=>[[1,2],[3,5],[4,6],[7]] {{1,2,7},{3},{4,5,6}}=>[[1,2,6],[3,5,7],[4]] {{1,2},{3,7},{4,5,6}}=>[[1,2,6],[3,5],[4,7]] {{1,2},{3},{4,5,6,7}}=>[[1,2,6,7],[3,5],[4]] {{1,2},{3},{4,5,6},{7}}=>[[1,2,6],[3,5],[4],[7]] {{1,2,7},{3},{4,5},{6}}=>[[1,2,7],[3,5],[4],[6]] {{1,2},{3,7},{4,5},{6}}=>[[1,2],[3,5],[4,7],[6]] {{1,2},{3},{4,5,7},{6}}=>[[1,2,7],[3,5],[4],[6]] {{1,2},{3},{4,5},{6,7}}=>[[1,2],[3,5],[4,7],[6]] {{1,2},{3},{4,5},{6},{7}}=>[[1,2],[3,5],[4],[6],[7]] {{1,2,6,7},{3},{4},{5}}=>[[1,2,6,7],[3],[4],[5]] {{1,2,6},{3,7},{4},{5}}=>[[1,2,6],[3,7],[4],[5]] {{1,2,6},{3},{4,7},{5}}=>[[1,2,6],[3,7],[4],[5]] {{1,2,6},{3},{4},{5,7}}=>[[1,2,6],[3,7],[4],[5]] {{1,2,6},{3},{4},{5},{7}}=>[[1,2,6],[3],[4],[5],[7]] {{1,2,7},{3,6},{4},{5}}=>[[1,2,7],[3,6],[4],[5]] {{1,2},{3,6,7},{4},{5}}=>[[1,2,7],[3,6],[4],[5]] {{1,2},{3,6},{4,7},{5}}=>[[1,2],[3,6],[4,7],[5]] {{1,2},{3,6},{4},{5,7}}=>[[1,2],[3,6],[4,7],[5]] {{1,2},{3,6},{4},{5},{7}}=>[[1,2],[3,6],[4],[5],[7]] {{1,2,7},{3},{4,6},{5}}=>[[1,2,7],[3,6],[4],[5]] {{1,2},{3,7},{4,6},{5}}=>[[1,2],[3,6],[4,7],[5]] {{1,2},{3},{4,6,7},{5}}=>[[1,2,7],[3,6],[4],[5]] {{1,2},{3},{4,6},{5,7}}=>[[1,2],[3,6],[4,7],[5]] {{1,2},{3},{4,6},{5},{7}}=>[[1,2],[3,6],[4],[5],[7]] {{1,2,7},{3},{4},{5,6}}=>[[1,2,7],[3,6],[4],[5]] {{1,2},{3,7},{4},{5,6}}=>[[1,2],[3,6],[4,7],[5]] {{1,2},{3},{4,7},{5,6}}=>[[1,2],[3,6],[4,7],[5]] {{1,2},{3},{4},{5,6,7}}=>[[1,2,7],[3,6],[4],[5]] {{1,2},{3},{4},{5,6},{7}}=>[[1,2],[3,6],[4],[5],[7]] {{1,2,7},{3},{4},{5},{6}}=>[[1,2,7],[3],[4],[5],[6]] {{1,2},{3,7},{4},{5},{6}}=>[[1,2],[3,7],[4],[5],[6]] {{1,2},{3},{4,7},{5},{6}}=>[[1,2],[3,7],[4],[5],[6]] {{1,2},{3},{4},{5,7},{6}}=>[[1,2],[3,7],[4],[5],[6]] {{1,2},{3},{4},{5},{6,7}}=>[[1,2],[3,7],[4],[5],[6]] {{1,2},{3},{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]] {{1,3,4,5,6},{2,7}}=>[[1,3,4,5,6],[2,7]] {{1,3,4,5,6},{2},{7}}=>[[1,3,4,5,6],[2],[7]] {{1,3,4,5,7},{2,6}}=>[[1,3,4,5,7],[2,6]] {{1,3,4,5},{2,6,7}}=>[[1,3,4,5],[2,6,7]] {{1,3,4,5},{2,6},{7}}=>[[1,3,4,5],[2,6],[7]] {{1,3,4,5,7},{2},{6}}=>[[1,3,4,5,7],[2],[6]] {{1,3,4,5},{2,7},{6}}=>[[1,3,4,5],[2,7],[6]] {{1,3,4,5},{2},{6,7}}=>[[1,3,4,5],[2,7],[6]] {{1,3,4,5},{2},{6},{7}}=>[[1,3,4,5],[2],[6],[7]] {{1,3,4,6,7},{2,5}}=>[[1,3,4,6,7],[2,5]] {{1,3,4,6},{2,5,7}}=>[[1,3,4,6],[2,5,7]] {{1,3,4,6},{2,5},{7}}=>[[1,3,4,6],[2,5],[7]] {{1,3,4,7},{2,5,6}}=>[[1,3,4,7],[2,5,6]] {{1,3,4},{2,5,6,7}}=>[[1,3,4,7],[2,5,6]] {{1,3,4},{2,5,6},{7}}=>[[1,3,4],[2,5,6],[7]] {{1,3,4,7},{2,5},{6}}=>[[1,3,4,7],[2,5],[6]] {{1,3,4},{2,5,7},{6}}=>[[1,3,4],[2,5,7],[6]] {{1,3,4},{2,5},{6,7}}=>[[1,3,4],[2,5],[6,7]] {{1,3,4},{2,5},{6},{7}}=>[[1,3,4],[2,5],[6],[7]] {{1,3,4,6,7},{2},{5}}=>[[1,3,4,6,7],[2],[5]] {{1,3,4,6},{2,7},{5}}=>[[1,3,4,6],[2,7],[5]] {{1,3,4,6},{2},{5,7}}=>[[1,3,4,6],[2,7],[5]] {{1,3,4,6},{2},{5},{7}}=>[[1,3,4,6],[2],[5],[7]] {{1,3,4,7},{2,6},{5}}=>[[1,3,4,7],[2,6],[5]] {{1,3,4},{2,6,7},{5}}=>[[1,3,4],[2,6,7],[5]] {{1,3,4},{2,6},{5,7}}=>[[1,3,4],[2,6],[5,7]] {{1,3,4},{2,6},{5},{7}}=>[[1,3,4],[2,6],[5],[7]] {{1,3,4,7},{2},{5,6}}=>[[1,3,4,7],[2,6],[5]] {{1,3,4},{2,7},{5,6}}=>[[1,3,4],[2,6],[5,7]] {{1,3,4},{2},{5,6,7}}=>[[1,3,4],[2,6,7],[5]] {{1,3,4},{2},{5,6},{7}}=>[[1,3,4],[2,6],[5],[7]] {{1,3,4,7},{2},{5},{6}}=>[[1,3,4,7],[2],[5],[6]] {{1,3,4},{2,7},{5},{6}}=>[[1,3,4],[2,7],[5],[6]] {{1,3,4},{2},{5,7},{6}}=>[[1,3,4],[2,7],[5],[6]] {{1,3,4},{2},{5},{6,7}}=>[[1,3,4],[2,7],[5],[6]] {{1,3,4},{2},{5},{6},{7}}=>[[1,3,4],[2],[5],[6],[7]] {{1,3,5,6,7},{2,4}}=>[[1,3,5,6,7],[2,4]] {{1,3,5,6},{2,4,7}}=>[[1,3,5,6],[2,4,7]] {{1,3,5,6},{2,4},{7}}=>[[1,3,5,6],[2,4],[7]] {{1,3,5,7},{2,4,6}}=>[[1,3,5,7],[2,4,6]] {{1,3,5},{2,4,6,7}}=>[[1,3,5,7],[2,4,6]] {{1,3,5},{2,4,6},{7}}=>[[1,3,5],[2,4,6],[7]] {{1,3,5,7},{2,4},{6}}=>[[1,3,5,7],[2,4],[6]] {{1,3,5},{2,4,7},{6}}=>[[1,3,5],[2,4,7],[6]] {{1,3,5},{2,4},{6,7}}=>[[1,3,5],[2,4],[6,7]] {{1,3,5},{2,4},{6},{7}}=>[[1,3,5],[2,4],[6],[7]] {{1,3,6,7},{2,4,5}}=>[[1,3,5,7],[2,4,6]] {{1,3,6},{2,4,5,7}}=>[[1,3,5,7],[2,4,6]] {{1,3,6},{2,4,5},{7}}=>[[1,3,5],[2,4,6],[7]] {{1,3,7},{2,4,5,6}}=>[[1,3,5,6],[2,4,7]] {{1,3},{2,4,5,6,7}}=>[[1,3,5,6,7],[2,4]] {{1,3},{2,4,5,6},{7}}=>[[1,3,5,6],[2,4],[7]] {{1,3,7},{2,4,5},{6}}=>[[1,3,5],[2,4,7],[6]] {{1,3},{2,4,5,7},{6}}=>[[1,3,5,7],[2,4],[6]] {{1,3},{2,4,5},{6,7}}=>[[1,3,5],[2,4],[6,7]] {{1,3},{2,4,5},{6},{7}}=>[[1,3,5],[2,4],[6],[7]] {{1,3,6,7},{2,4},{5}}=>[[1,3,6,7],[2,4],[5]] {{1,3,6},{2,4,7},{5}}=>[[1,3,6],[2,4,7],[5]] {{1,3,6},{2,4},{5,7}}=>[[1,3,6],[2,4],[5,7]] {{1,3,6},{2,4},{5},{7}}=>[[1,3,6],[2,4],[5],[7]] {{1,3,7},{2,4,6},{5}}=>[[1,3,6],[2,4,7],[5]] {{1,3},{2,4,6,7},{5}}=>[[1,3,6,7],[2,4],[5]] {{1,3},{2,4,6},{5,7}}=>[[1,3,6],[2,4],[5,7]] {{1,3},{2,4,6},{5},{7}}=>[[1,3,6],[2,4],[5],[7]] {{1,3,7},{2,4},{5,6}}=>[[1,3,7],[2,4],[5,6]] {{1,3},{2,4,7},{5,6}}=>[[1,3,7],[2,4],[5,6]] {{1,3},{2,4},{5,6,7}}=>[[1,3,7],[2,4],[5,6]] {{1,3},{2,4},{5,6},{7}}=>[[1,3],[2,4],[5,6],[7]] {{1,3,7},{2,4},{5},{6}}=>[[1,3,7],[2,4],[5],[6]] {{1,3},{2,4,7},{5},{6}}=>[[1,3,7],[2,4],[5],[6]] {{1,3},{2,4},{5,7},{6}}=>[[1,3],[2,4],[5,7],[6]] {{1,3},{2,4},{5},{6,7}}=>[[1,3],[2,4],[5,7],[6]] {{1,3},{2,4},{5},{6},{7}}=>[[1,3],[2,4],[5],[6],[7]] {{1,3,5,6,7},{2},{4}}=>[[1,3,5,6,7],[2],[4]] {{1,3,5,6},{2,7},{4}}=>[[1,3,5,6],[2,7],[4]] {{1,3,5,6},{2},{4,7}}=>[[1,3,5,6],[2,7],[4]] {{1,3,5,6},{2},{4},{7}}=>[[1,3,5,6],[2],[4],[7]] {{1,3,5,7},{2,6},{4}}=>[[1,3,5,7],[2,6],[4]] {{1,3,5},{2,6,7},{4}}=>[[1,3,5],[2,6,7],[4]] {{1,3,5},{2,6},{4,7}}=>[[1,3,5],[2,6],[4,7]] {{1,3,5},{2,6},{4},{7}}=>[[1,3,5],[2,6],[4],[7]] {{1,3,5,7},{2},{4,6}}=>[[1,3,5,7],[2,6],[4]] {{1,3,5},{2,7},{4,6}}=>[[1,3,5],[2,6],[4,7]] {{1,3,5},{2},{4,6,7}}=>[[1,3,5],[2,6,7],[4]] {{1,3,5},{2},{4,6},{7}}=>[[1,3,5],[2,6],[4],[7]] {{1,3,5,7},{2},{4},{6}}=>[[1,3,5,7],[2],[4],[6]] {{1,3,5},{2,7},{4},{6}}=>[[1,3,5],[2,7],[4],[6]] {{1,3,5},{2},{4,7},{6}}=>[[1,3,5],[2,7],[4],[6]] {{1,3,5},{2},{4},{6,7}}=>[[1,3,5],[2,7],[4],[6]] {{1,3,5},{2},{4},{6},{7}}=>[[1,3,5],[2],[4],[6],[7]] {{1,3,6,7},{2,5},{4}}=>[[1,3,6,7],[2,5],[4]] {{1,3,6},{2,5,7},{4}}=>[[1,3,6],[2,5,7],[4]] {{1,3,6},{2,5},{4,7}}=>[[1,3,6],[2,5],[4,7]] {{1,3,6},{2,5},{4},{7}}=>[[1,3,6],[2,5],[4],[7]] {{1,3,7},{2,5,6},{4}}=>[[1,3,6],[2,5,7],[4]] {{1,3},{2,5,6,7},{4}}=>[[1,3,6,7],[2,5],[4]] {{1,3},{2,5,6},{4,7}}=>[[1,3,6],[2,5],[4,7]] {{1,3},{2,5,6},{4},{7}}=>[[1,3,6],[2,5],[4],[7]] {{1,3,7},{2,5},{4,6}}=>[[1,3,7],[2,5],[4,6]] {{1,3},{2,5,7},{4,6}}=>[[1,3,7],[2,5],[4,6]] {{1,3},{2,5},{4,6,7}}=>[[1,3,7],[2,5],[4,6]] {{1,3},{2,5},{4,6},{7}}=>[[1,3],[2,5],[4,6],[7]] {{1,3,7},{2,5},{4},{6}}=>[[1,3,7],[2,5],[4],[6]] {{1,3},{2,5,7},{4},{6}}=>[[1,3,7],[2,5],[4],[6]] {{1,3},{2,5},{4,7},{6}}=>[[1,3],[2,5],[4,7],[6]] {{1,3},{2,5},{4},{6,7}}=>[[1,3],[2,5],[4,7],[6]] {{1,3},{2,5},{4},{6},{7}}=>[[1,3],[2,5],[4],[6],[7]] {{1,3,6,7},{2},{4,5}}=>[[1,3,6,7],[2,5],[4]] {{1,3,6},{2,7},{4,5}}=>[[1,3,6],[2,5],[4,7]] {{1,3,6},{2},{4,5,7}}=>[[1,3,6],[2,5,7],[4]] {{1,3,6},{2},{4,5},{7}}=>[[1,3,6],[2,5],[4],[7]] {{1,3,7},{2,6},{4,5}}=>[[1,3,7],[2,5],[4,6]] {{1,3},{2,6,7},{4,5}}=>[[1,3,7],[2,5],[4,6]] {{1,3},{2,6},{4,5,7}}=>[[1,3,7],[2,5],[4,6]] {{1,3},{2,6},{4,5},{7}}=>[[1,3],[2,5],[4,6],[7]] {{1,3,7},{2},{4,5,6}}=>[[1,3,6],[2,5,7],[4]] {{1,3},{2,7},{4,5,6}}=>[[1,3,6],[2,5],[4,7]] {{1,3},{2},{4,5,6,7}}=>[[1,3,6,7],[2,5],[4]] {{1,3},{2},{4,5,6},{7}}=>[[1,3,6],[2,5],[4],[7]] {{1,3,7},{2},{4,5},{6}}=>[[1,3,7],[2,5],[4],[6]] {{1,3},{2,7},{4,5},{6}}=>[[1,3],[2,5],[4,7],[6]] {{1,3},{2},{4,5,7},{6}}=>[[1,3,7],[2,5],[4],[6]] {{1,3},{2},{4,5},{6,7}}=>[[1,3],[2,5],[4,7],[6]] {{1,3},{2},{4,5},{6},{7}}=>[[1,3],[2,5],[4],[6],[7]] {{1,3,6,7},{2},{4},{5}}=>[[1,3,6,7],[2],[4],[5]] {{1,3,6},{2,7},{4},{5}}=>[[1,3,6],[2,7],[4],[5]] {{1,3,6},{2},{4,7},{5}}=>[[1,3,6],[2,7],[4],[5]] {{1,3,6},{2},{4},{5,7}}=>[[1,3,6],[2,7],[4],[5]] {{1,3,6},{2},{4},{5},{7}}=>[[1,3,6],[2],[4],[5],[7]] {{1,3,7},{2,6},{4},{5}}=>[[1,3,7],[2,6],[4],[5]] {{1,3},{2,6,7},{4},{5}}=>[[1,3,7],[2,6],[4],[5]] {{1,3},{2,6},{4,7},{5}}=>[[1,3],[2,6],[4,7],[5]] {{1,3},{2,6},{4},{5,7}}=>[[1,3],[2,6],[4,7],[5]] {{1,3},{2,6},{4},{5},{7}}=>[[1,3],[2,6],[4],[5],[7]] {{1,3,7},{2},{4,6},{5}}=>[[1,3,7],[2,6],[4],[5]] {{1,3},{2,7},{4,6},{5}}=>[[1,3],[2,6],[4,7],[5]] {{1,3},{2},{4,6,7},{5}}=>[[1,3,7],[2,6],[4],[5]] {{1,3},{2},{4,6},{5,7}}=>[[1,3],[2,6],[4,7],[5]] {{1,3},{2},{4,6},{5},{7}}=>[[1,3],[2,6],[4],[5],[7]] {{1,3,7},{2},{4},{5,6}}=>[[1,3,7],[2,6],[4],[5]] {{1,3},{2,7},{4},{5,6}}=>[[1,3],[2,6],[4,7],[5]] {{1,3},{2},{4,7},{5,6}}=>[[1,3],[2,6],[4,7],[5]] {{1,3},{2},{4},{5,6,7}}=>[[1,3,7],[2,6],[4],[5]] {{1,3},{2},{4},{5,6},{7}}=>[[1,3],[2,6],[4],[5],[7]] {{1,3,7},{2},{4},{5},{6}}=>[[1,3,7],[2],[4],[5],[6]] {{1,3},{2,7},{4},{5},{6}}=>[[1,3],[2,7],[4],[5],[6]] {{1,3},{2},{4,7},{5},{6}}=>[[1,3],[2,7],[4],[5],[6]] {{1,3},{2},{4},{5,7},{6}}=>[[1,3],[2,7],[4],[5],[6]] {{1,3},{2},{4},{5},{6,7}}=>[[1,3],[2,7],[4],[5],[6]] {{1,3},{2},{4},{5},{6},{7}}=>[[1,3],[2],[4],[5],[6],[7]] {{1,4,5,6,7},{2,3}}=>[[1,3,5,6,7],[2,4]] {{1,4,5,6},{2,3,7}}=>[[1,3,5,6],[2,4,7]] {{1,4,5,6},{2,3},{7}}=>[[1,3,5,6],[2,4],[7]] {{1,4,5,7},{2,3,6}}=>[[1,3,5,7],[2,4,6]] {{1,4,5},{2,3,6,7}}=>[[1,3,5,7],[2,4,6]] {{1,4,5},{2,3,6},{7}}=>[[1,3,5],[2,4,6],[7]] {{1,4,5,7},{2,3},{6}}=>[[1,3,5,7],[2,4],[6]] {{1,4,5},{2,3,7},{6}}=>[[1,3,5],[2,4,7],[6]] {{1,4,5},{2,3},{6,7}}=>[[1,3,5],[2,4],[6,7]] {{1,4,5},{2,3},{6},{7}}=>[[1,3,5],[2,4],[6],[7]] {{1,4,6,7},{2,3,5}}=>[[1,3,5,7],[2,4,6]] {{1,4,6},{2,3,5,7}}=>[[1,3,5,7],[2,4,6]] {{1,4,6},{2,3,5},{7}}=>[[1,3,5],[2,4,6],[7]] {{1,4,7},{2,3,5,6}}=>[[1,3,5,6],[2,4,7]] {{1,4},{2,3,5,6,7}}=>[[1,3,5,6,7],[2,4]] {{1,4},{2,3,5,6},{7}}=>[[1,3,5,6],[2,4],[7]] {{1,4,7},{2,3,5},{6}}=>[[1,3,5],[2,4,7],[6]] {{1,4},{2,3,5,7},{6}}=>[[1,3,5,7],[2,4],[6]] {{1,4},{2,3,5},{6,7}}=>[[1,3,5],[2,4],[6,7]] {{1,4},{2,3,5},{6},{7}}=>[[1,3,5],[2,4],[6],[7]] {{1,4,6,7},{2,3},{5}}=>[[1,3,6,7],[2,4],[5]] {{1,4,6},{2,3,7},{5}}=>[[1,3,6],[2,4,7],[5]] {{1,4,6},{2,3},{5,7}}=>[[1,3,6],[2,4],[5,7]] {{1,4,6},{2,3},{5},{7}}=>[[1,3,6],[2,4],[5],[7]] {{1,4,7},{2,3,6},{5}}=>[[1,3,6],[2,4,7],[5]] {{1,4},{2,3,6,7},{5}}=>[[1,3,6,7],[2,4],[5]] {{1,4},{2,3,6},{5,7}}=>[[1,3,6],[2,4],[5,7]] {{1,4},{2,3,6},{5},{7}}=>[[1,3,6],[2,4],[5],[7]] {{1,4,7},{2,3},{5,6}}=>[[1,3,7],[2,4],[5,6]] {{1,4},{2,3,7},{5,6}}=>[[1,3,7],[2,4],[5,6]] {{1,4},{2,3},{5,6,7}}=>[[1,3,7],[2,4],[5,6]] {{1,4},{2,3},{5,6},{7}}=>[[1,3],[2,4],[5,6],[7]] {{1,4,7},{2,3},{5},{6}}=>[[1,3,7],[2,4],[5],[6]] {{1,4},{2,3,7},{5},{6}}=>[[1,3,7],[2,4],[5],[6]] {{1,4},{2,3},{5,7},{6}}=>[[1,3],[2,4],[5,7],[6]] {{1,4},{2,3},{5},{6,7}}=>[[1,3],[2,4],[5,7],[6]] {{1,4},{2,3},{5},{6},{7}}=>[[1,3],[2,4],[5],[6],[7]] {{1,5,6,7},{2,3,4}}=>[[1,3,4,7],[2,5,6]] {{1,5,6},{2,3,4,7}}=>[[1,3,4,7],[2,5,6]] {{1,5,6},{2,3,4},{7}}=>[[1,3,4],[2,5,6],[7]] {{1,5,7},{2,3,4,6}}=>[[1,3,4,6],[2,5,7]] {{1,5},{2,3,4,6,7}}=>[[1,3,4,6,7],[2,5]] {{1,5},{2,3,4,6},{7}}=>[[1,3,4,6],[2,5],[7]] {{1,5,7},{2,3,4},{6}}=>[[1,3,4],[2,5,7],[6]] {{1,5},{2,3,4,7},{6}}=>[[1,3,4,7],[2,5],[6]] {{1,5},{2,3,4},{6,7}}=>[[1,3,4],[2,5],[6,7]] {{1,5},{2,3,4},{6},{7}}=>[[1,3,4],[2,5],[6],[7]] {{1,6,7},{2,3,4,5}}=>[[1,3,4,5],[2,6,7]] {{1,6},{2,3,4,5,7}}=>[[1,3,4,5,7],[2,6]] {{1,6},{2,3,4,5},{7}}=>[[1,3,4,5],[2,6],[7]] {{1,7},{2,3,4,5,6}}=>[[1,3,4,5,6],[2,7]] {{1},{2,3,4,5,6,7}}=>[[1,3,4,5,6,7],[2]] {{1},{2,3,4,5,6},{7}}=>[[1,3,4,5,6],[2],[7]] {{1,7},{2,3,4,5},{6}}=>[[1,3,4,5],[2,7],[6]] {{1},{2,3,4,5,7},{6}}=>[[1,3,4,5,7],[2],[6]] {{1},{2,3,4,5},{6,7}}=>[[1,3,4,5],[2,7],[6]] {{1},{2,3,4,5},{6},{7}}=>[[1,3,4,5],[2],[6],[7]] {{1,6,7},{2,3,4},{5}}=>[[1,3,4],[2,6,7],[5]] {{1,6},{2,3,4,7},{5}}=>[[1,3,4,7],[2,6],[5]] {{1,6},{2,3,4},{5,7}}=>[[1,3,4],[2,6],[5,7]] {{1,6},{2,3,4},{5},{7}}=>[[1,3,4],[2,6],[5],[7]] {{1,7},{2,3,4,6},{5}}=>[[1,3,4,6],[2,7],[5]] {{1},{2,3,4,6,7},{5}}=>[[1,3,4,6,7],[2],[5]] {{1},{2,3,4,6},{5,7}}=>[[1,3,4,6],[2,7],[5]] {{1},{2,3,4,6},{5},{7}}=>[[1,3,4,6],[2],[5],[7]] {{1,7},{2,3,4},{5,6}}=>[[1,3,4],[2,6],[5,7]] {{1},{2,3,4,7},{5,6}}=>[[1,3,4,7],[2,6],[5]] {{1},{2,3,4},{5,6,7}}=>[[1,3,4],[2,6,7],[5]] {{1},{2,3,4},{5,6},{7}}=>[[1,3,4],[2,6],[5],[7]] {{1,7},{2,3,4},{5},{6}}=>[[1,3,4],[2,7],[5],[6]] {{1},{2,3,4,7},{5},{6}}=>[[1,3,4,7],[2],[5],[6]] {{1},{2,3,4},{5,7},{6}}=>[[1,3,4],[2,7],[5],[6]] {{1},{2,3,4},{5},{6,7}}=>[[1,3,4],[2,7],[5],[6]] {{1},{2,3,4},{5},{6},{7}}=>[[1,3,4],[2],[5],[6],[7]] {{1,5,6,7},{2,3},{4}}=>[[1,3,6,7],[2,5],[4]] {{1,5,6},{2,3,7},{4}}=>[[1,3,6],[2,5,7],[4]] {{1,5,6},{2,3},{4,7}}=>[[1,3,6],[2,5],[4,7]] {{1,5,6},{2,3},{4},{7}}=>[[1,3,6],[2,5],[4],[7]] {{1,5,7},{2,3,6},{4}}=>[[1,3,6],[2,5,7],[4]] {{1,5},{2,3,6,7},{4}}=>[[1,3,6,7],[2,5],[4]] {{1,5},{2,3,6},{4,7}}=>[[1,3,6],[2,5],[4,7]] {{1,5},{2,3,6},{4},{7}}=>[[1,3,6],[2,5],[4],[7]] {{1,5,7},{2,3},{4,6}}=>[[1,3,7],[2,5],[4,6]] {{1,5},{2,3,7},{4,6}}=>[[1,3,7],[2,5],[4,6]] {{1,5},{2,3},{4,6,7}}=>[[1,3,7],[2,5],[4,6]] {{1,5},{2,3},{4,6},{7}}=>[[1,3],[2,5],[4,6],[7]] {{1,5,7},{2,3},{4},{6}}=>[[1,3,7],[2,5],[4],[6]] {{1,5},{2,3,7},{4},{6}}=>[[1,3,7],[2,5],[4],[6]] {{1,5},{2,3},{4,7},{6}}=>[[1,3],[2,5],[4,7],[6]] {{1,5},{2,3},{4},{6,7}}=>[[1,3],[2,5],[4,7],[6]] {{1,5},{2,3},{4},{6},{7}}=>[[1,3],[2,5],[4],[6],[7]] {{1,6,7},{2,3,5},{4}}=>[[1,3,5],[2,6,7],[4]] {{1,6},{2,3,5,7},{4}}=>[[1,3,5,7],[2,6],[4]] {{1,6},{2,3,5},{4,7}}=>[[1,3,5],[2,6],[4,7]] {{1,6},{2,3,5},{4},{7}}=>[[1,3,5],[2,6],[4],[7]] {{1,7},{2,3,5,6},{4}}=>[[1,3,5,6],[2,7],[4]] {{1},{2,3,5,6,7},{4}}=>[[1,3,5,6,7],[2],[4]] {{1},{2,3,5,6},{4,7}}=>[[1,3,5,6],[2,7],[4]] {{1},{2,3,5,6},{4},{7}}=>[[1,3,5,6],[2],[4],[7]] {{1,7},{2,3,5},{4,6}}=>[[1,3,5],[2,6],[4,7]] {{1},{2,3,5,7},{4,6}}=>[[1,3,5,7],[2,6],[4]] {{1},{2,3,5},{4,6,7}}=>[[1,3,5],[2,6,7],[4]] {{1},{2,3,5},{4,6},{7}}=>[[1,3,5],[2,6],[4],[7]] {{1,7},{2,3,5},{4},{6}}=>[[1,3,5],[2,7],[4],[6]] {{1},{2,3,5,7},{4},{6}}=>[[1,3,5,7],[2],[4],[6]] {{1},{2,3,5},{4,7},{6}}=>[[1,3,5],[2,7],[4],[6]] {{1},{2,3,5},{4},{6,7}}=>[[1,3,5],[2,7],[4],[6]] {{1},{2,3,5},{4},{6},{7}}=>[[1,3,5],[2],[4],[6],[7]] {{1,6,7},{2,3},{4,5}}=>[[1,3,7],[2,5],[4,6]] {{1,6},{2,3,7},{4,5}}=>[[1,3,7],[2,5],[4,6]] {{1,6},{2,3},{4,5,7}}=>[[1,3,7],[2,5],[4,6]] {{1,6},{2,3},{4,5},{7}}=>[[1,3],[2,5],[4,6],[7]] {{1,7},{2,3,6},{4,5}}=>[[1,3,6],[2,5],[4,7]] {{1},{2,3,6,7},{4,5}}=>[[1,3,6,7],[2,5],[4]] {{1},{2,3,6},{4,5,7}}=>[[1,3,6],[2,5,7],[4]] {{1},{2,3,6},{4,5},{7}}=>[[1,3,6],[2,5],[4],[7]] {{1,7},{2,3},{4,5,6}}=>[[1,3,6],[2,5],[4,7]] {{1},{2,3,7},{4,5,6}}=>[[1,3,6],[2,5,7],[4]] {{1},{2,3},{4,5,6,7}}=>[[1,3,6,7],[2,5],[4]] {{1},{2,3},{4,5,6},{7}}=>[[1,3,6],[2,5],[4],[7]] {{1,7},{2,3},{4,5},{6}}=>[[1,3],[2,5],[4,7],[6]] {{1},{2,3,7},{4,5},{6}}=>[[1,3,7],[2,5],[4],[6]] {{1},{2,3},{4,5,7},{6}}=>[[1,3,7],[2,5],[4],[6]] {{1},{2,3},{4,5},{6,7}}=>[[1,3],[2,5],[4,7],[6]] {{1},{2,3},{4,5},{6},{7}}=>[[1,3],[2,5],[4],[6],[7]] {{1,6,7},{2,3},{4},{5}}=>[[1,3,7],[2,6],[4],[5]] {{1,6},{2,3,7},{4},{5}}=>[[1,3,7],[2,6],[4],[5]] {{1,6},{2,3},{4,7},{5}}=>[[1,3],[2,6],[4,7],[5]] {{1,6},{2,3},{4},{5,7}}=>[[1,3],[2,6],[4,7],[5]] {{1,6},{2,3},{4},{5},{7}}=>[[1,3],[2,6],[4],[5],[7]] {{1,7},{2,3,6},{4},{5}}=>[[1,3,6],[2,7],[4],[5]] {{1},{2,3,6,7},{4},{5}}=>[[1,3,6,7],[2],[4],[5]] {{1},{2,3,6},{4,7},{5}}=>[[1,3,6],[2,7],[4],[5]] {{1},{2,3,6},{4},{5,7}}=>[[1,3,6],[2,7],[4],[5]] {{1},{2,3,6},{4},{5},{7}}=>[[1,3,6],[2],[4],[5],[7]] {{1,7},{2,3},{4,6},{5}}=>[[1,3],[2,6],[4,7],[5]] {{1},{2,3,7},{4,6},{5}}=>[[1,3,7],[2,6],[4],[5]] {{1},{2,3},{4,6,7},{5}}=>[[1,3,7],[2,6],[4],[5]] {{1},{2,3},{4,6},{5,7}}=>[[1,3],[2,6],[4,7],[5]] {{1},{2,3},{4,6},{5},{7}}=>[[1,3],[2,6],[4],[5],[7]] {{1,7},{2,3},{4},{5,6}}=>[[1,3],[2,6],[4,7],[5]] {{1},{2,3,7},{4},{5,6}}=>[[1,3,7],[2,6],[4],[5]] {{1},{2,3},{4,7},{5,6}}=>[[1,3],[2,6],[4,7],[5]] {{1},{2,3},{4},{5,6,7}}=>[[1,3,7],[2,6],[4],[5]] {{1},{2,3},{4},{5,6},{7}}=>[[1,3],[2,6],[4],[5],[7]] {{1,7},{2,3},{4},{5},{6}}=>[[1,3],[2,7],[4],[5],[6]] {{1},{2,3,7},{4},{5},{6}}=>[[1,3,7],[2],[4],[5],[6]] {{1},{2,3},{4,7},{5},{6}}=>[[1,3],[2,7],[4],[5],[6]] {{1},{2,3},{4},{5,7},{6}}=>[[1,3],[2,7],[4],[5],[6]] {{1},{2,3},{4},{5},{6,7}}=>[[1,3],[2,7],[4],[5],[6]] {{1},{2,3},{4},{5},{6},{7}}=>[[1,3],[2],[4],[5],[6],[7]] {{1,4,5,6,7},{2},{3}}=>[[1,4,5,6,7],[2],[3]] {{1,4,5,6},{2,7},{3}}=>[[1,4,5,6],[2,7],[3]] {{1,4,5,6},{2},{3,7}}=>[[1,4,5,6],[2,7],[3]] {{1,4,5,6},{2},{3},{7}}=>[[1,4,5,6],[2],[3],[7]] {{1,4,5,7},{2,6},{3}}=>[[1,4,5,7],[2,6],[3]] {{1,4,5},{2,6,7},{3}}=>[[1,4,5],[2,6,7],[3]] {{1,4,5},{2,6},{3,7}}=>[[1,4,5],[2,6],[3,7]] {{1,4,5},{2,6},{3},{7}}=>[[1,4,5],[2,6],[3],[7]] {{1,4,5,7},{2},{3,6}}=>[[1,4,5,7],[2,6],[3]] {{1,4,5},{2,7},{3,6}}=>[[1,4,5],[2,6],[3,7]] {{1,4,5},{2},{3,6,7}}=>[[1,4,5],[2,6,7],[3]] {{1,4,5},{2},{3,6},{7}}=>[[1,4,5],[2,6],[3],[7]] {{1,4,5,7},{2},{3},{6}}=>[[1,4,5,7],[2],[3],[6]] {{1,4,5},{2,7},{3},{6}}=>[[1,4,5],[2,7],[3],[6]] {{1,4,5},{2},{3,7},{6}}=>[[1,4,5],[2,7],[3],[6]] {{1,4,5},{2},{3},{6,7}}=>[[1,4,5],[2,7],[3],[6]] {{1,4,5},{2},{3},{6},{7}}=>[[1,4,5],[2],[3],[6],[7]] {{1,4,6,7},{2,5},{3}}=>[[1,4,6,7],[2,5],[3]] {{1,4,6},{2,5,7},{3}}=>[[1,4,6],[2,5,7],[3]] {{1,4,6},{2,5},{3,7}}=>[[1,4,6],[2,5],[3,7]] {{1,4,6},{2,5},{3},{7}}=>[[1,4,6],[2,5],[3],[7]] {{1,4,7},{2,5,6},{3}}=>[[1,4,6],[2,5,7],[3]] {{1,4},{2,5,6,7},{3}}=>[[1,4,6,7],[2,5],[3]] {{1,4},{2,5,6},{3,7}}=>[[1,4,6],[2,5],[3,7]] {{1,4},{2,5,6},{3},{7}}=>[[1,4,6],[2,5],[3],[7]] {{1,4,7},{2,5},{3,6}}=>[[1,4,7],[2,5],[3,6]] {{1,4},{2,5,7},{3,6}}=>[[1,4,7],[2,5],[3,6]] {{1,4},{2,5},{3,6,7}}=>[[1,4,7],[2,5],[3,6]] {{1,4},{2,5},{3,6},{7}}=>[[1,4],[2,5],[3,6],[7]] {{1,4,7},{2,5},{3},{6}}=>[[1,4,7],[2,5],[3],[6]] {{1,4},{2,5,7},{3},{6}}=>[[1,4,7],[2,5],[3],[6]] {{1,4},{2,5},{3,7},{6}}=>[[1,4],[2,5],[3,7],[6]] {{1,4},{2,5},{3},{6,7}}=>[[1,4],[2,5],[3,7],[6]] {{1,4},{2,5},{3},{6},{7}}=>[[1,4],[2,5],[3],[6],[7]] {{1,4,6,7},{2},{3,5}}=>[[1,4,6,7],[2,5],[3]] {{1,4,6},{2,7},{3,5}}=>[[1,4,6],[2,5],[3,7]] {{1,4,6},{2},{3,5,7}}=>[[1,4,6],[2,5,7],[3]] {{1,4,6},{2},{3,5},{7}}=>[[1,4,6],[2,5],[3],[7]] {{1,4,7},{2,6},{3,5}}=>[[1,4,7],[2,5],[3,6]] {{1,4},{2,6,7},{3,5}}=>[[1,4,7],[2,5],[3,6]] {{1,4},{2,6},{3,5,7}}=>[[1,4,7],[2,5],[3,6]] {{1,4},{2,6},{3,5},{7}}=>[[1,4],[2,5],[3,6],[7]] {{1,4,7},{2},{3,5,6}}=>[[1,4,6],[2,5,7],[3]] {{1,4},{2,7},{3,5,6}}=>[[1,4,6],[2,5],[3,7]] {{1,4},{2},{3,5,6,7}}=>[[1,4,6,7],[2,5],[3]] {{1,4},{2},{3,5,6},{7}}=>[[1,4,6],[2,5],[3],[7]] {{1,4,7},{2},{3,5},{6}}=>[[1,4,7],[2,5],[3],[6]] {{1,4},{2,7},{3,5},{6}}=>[[1,4],[2,5],[3,7],[6]] {{1,4},{2},{3,5,7},{6}}=>[[1,4,7],[2,5],[3],[6]] {{1,4},{2},{3,5},{6,7}}=>[[1,4],[2,5],[3,7],[6]] {{1,4},{2},{3,5},{6},{7}}=>[[1,4],[2,5],[3],[6],[7]] {{1,4,6,7},{2},{3},{5}}=>[[1,4,6,7],[2],[3],[5]] {{1,4,6},{2,7},{3},{5}}=>[[1,4,6],[2,7],[3],[5]] {{1,4,6},{2},{3,7},{5}}=>[[1,4,6],[2,7],[3],[5]] {{1,4,6},{2},{3},{5,7}}=>[[1,4,6],[2,7],[3],[5]] {{1,4,6},{2},{3},{5},{7}}=>[[1,4,6],[2],[3],[5],[7]] {{1,4,7},{2,6},{3},{5}}=>[[1,4,7],[2,6],[3],[5]] {{1,4},{2,6,7},{3},{5}}=>[[1,4,7],[2,6],[3],[5]] {{1,4},{2,6},{3,7},{5}}=>[[1,4],[2,6],[3,7],[5]] {{1,4},{2,6},{3},{5,7}}=>[[1,4],[2,6],[3,7],[5]] {{1,4},{2,6},{3},{5},{7}}=>[[1,4],[2,6],[3],[5],[7]] {{1,4,7},{2},{3,6},{5}}=>[[1,4,7],[2,6],[3],[5]] {{1,4},{2,7},{3,6},{5}}=>[[1,4],[2,6],[3,7],[5]] {{1,4},{2},{3,6,7},{5}}=>[[1,4,7],[2,6],[3],[5]] {{1,4},{2},{3,6},{5,7}}=>[[1,4],[2,6],[3,7],[5]] {{1,4},{2},{3,6},{5},{7}}=>[[1,4],[2,6],[3],[5],[7]] {{1,4,7},{2},{3},{5,6}}=>[[1,4,7],[2,6],[3],[5]] {{1,4},{2,7},{3},{5,6}}=>[[1,4],[2,6],[3,7],[5]] {{1,4},{2},{3,7},{5,6}}=>[[1,4],[2,6],[3,7],[5]] {{1,4},{2},{3},{5,6,7}}=>[[1,4,7],[2,6],[3],[5]] {{1,4},{2},{3},{5,6},{7}}=>[[1,4],[2,6],[3],[5],[7]] {{1,4,7},{2},{3},{5},{6}}=>[[1,4,7],[2],[3],[5],[6]] {{1,4},{2,7},{3},{5},{6}}=>[[1,4],[2,7],[3],[5],[6]] {{1,4},{2},{3,7},{5},{6}}=>[[1,4],[2,7],[3],[5],[6]] {{1,4},{2},{3},{5,7},{6}}=>[[1,4],[2,7],[3],[5],[6]] {{1,4},{2},{3},{5},{6,7}}=>[[1,4],[2,7],[3],[5],[6]] {{1,4},{2},{3},{5},{6},{7}}=>[[1,4],[2],[3],[5],[6],[7]] {{1,5,6,7},{2,4},{3}}=>[[1,4,6,7],[2,5],[3]] {{1,5,6},{2,4,7},{3}}=>[[1,4,6],[2,5,7],[3]] {{1,5,6},{2,4},{3,7}}=>[[1,4,6],[2,5],[3,7]] {{1,5,6},{2,4},{3},{7}}=>[[1,4,6],[2,5],[3],[7]] {{1,5,7},{2,4,6},{3}}=>[[1,4,6],[2,5,7],[3]] {{1,5},{2,4,6,7},{3}}=>[[1,4,6,7],[2,5],[3]] {{1,5},{2,4,6},{3,7}}=>[[1,4,6],[2,5],[3,7]] {{1,5},{2,4,6},{3},{7}}=>[[1,4,6],[2,5],[3],[7]] {{1,5,7},{2,4},{3,6}}=>[[1,4,7],[2,5],[3,6]] {{1,5},{2,4,7},{3,6}}=>[[1,4,7],[2,5],[3,6]] {{1,5},{2,4},{3,6,7}}=>[[1,4,7],[2,5],[3,6]] {{1,5},{2,4},{3,6},{7}}=>[[1,4],[2,5],[3,6],[7]] {{1,5,7},{2,4},{3},{6}}=>[[1,4,7],[2,5],[3],[6]] {{1,5},{2,4,7},{3},{6}}=>[[1,4,7],[2,5],[3],[6]] {{1,5},{2,4},{3,7},{6}}=>[[1,4],[2,5],[3,7],[6]] {{1,5},{2,4},{3},{6,7}}=>[[1,4],[2,5],[3,7],[6]] {{1,5},{2,4},{3},{6},{7}}=>[[1,4],[2,5],[3],[6],[7]] {{1,6,7},{2,4,5},{3}}=>[[1,4,5],[2,6,7],[3]] {{1,6},{2,4,5,7},{3}}=>[[1,4,5,7],[2,6],[3]] {{1,6},{2,4,5},{3,7}}=>[[1,4,5],[2,6],[3,7]] {{1,6},{2,4,5},{3},{7}}=>[[1,4,5],[2,6],[3],[7]] {{1,7},{2,4,5,6},{3}}=>[[1,4,5,6],[2,7],[3]] {{1},{2,4,5,6,7},{3}}=>[[1,4,5,6,7],[2],[3]] {{1},{2,4,5,6},{3,7}}=>[[1,4,5,6],[2,7],[3]] {{1},{2,4,5,6},{3},{7}}=>[[1,4,5,6],[2],[3],[7]] {{1,7},{2,4,5},{3,6}}=>[[1,4,5],[2,6],[3,7]] {{1},{2,4,5,7},{3,6}}=>[[1,4,5,7],[2,6],[3]] {{1},{2,4,5},{3,6,7}}=>[[1,4,5],[2,6,7],[3]] {{1},{2,4,5},{3,6},{7}}=>[[1,4,5],[2,6],[3],[7]] {{1,7},{2,4,5},{3},{6}}=>[[1,4,5],[2,7],[3],[6]] {{1},{2,4,5,7},{3},{6}}=>[[1,4,5,7],[2],[3],[6]] {{1},{2,4,5},{3,7},{6}}=>[[1,4,5],[2,7],[3],[6]] {{1},{2,4,5},{3},{6,7}}=>[[1,4,5],[2,7],[3],[6]] {{1},{2,4,5},{3},{6},{7}}=>[[1,4,5],[2],[3],[6],[7]] {{1,6,7},{2,4},{3,5}}=>[[1,4,7],[2,5],[3,6]] {{1,6},{2,4,7},{3,5}}=>[[1,4,7],[2,5],[3,6]] {{1,6},{2,4},{3,5,7}}=>[[1,4,7],[2,5],[3,6]] {{1,6},{2,4},{3,5},{7}}=>[[1,4],[2,5],[3,6],[7]] {{1,7},{2,4,6},{3,5}}=>[[1,4,6],[2,5],[3,7]] {{1},{2,4,6,7},{3,5}}=>[[1,4,6,7],[2,5],[3]] {{1},{2,4,6},{3,5,7}}=>[[1,4,6],[2,5,7],[3]] {{1},{2,4,6},{3,5},{7}}=>[[1,4,6],[2,5],[3],[7]] {{1,7},{2,4},{3,5,6}}=>[[1,4,6],[2,5],[3,7]] {{1},{2,4,7},{3,5,6}}=>[[1,4,6],[2,5,7],[3]] {{1},{2,4},{3,5,6,7}}=>[[1,4,6,7],[2,5],[3]] {{1},{2,4},{3,5,6},{7}}=>[[1,4,6],[2,5],[3],[7]] {{1,7},{2,4},{3,5},{6}}=>[[1,4],[2,5],[3,7],[6]] {{1},{2,4,7},{3,5},{6}}=>[[1,4,7],[2,5],[3],[6]] {{1},{2,4},{3,5,7},{6}}=>[[1,4,7],[2,5],[3],[6]] {{1},{2,4},{3,5},{6,7}}=>[[1,4],[2,5],[3,7],[6]] {{1},{2,4},{3,5},{6},{7}}=>[[1,4],[2,5],[3],[6],[7]] {{1,6,7},{2,4},{3},{5}}=>[[1,4,7],[2,6],[3],[5]] {{1,6},{2,4,7},{3},{5}}=>[[1,4,7],[2,6],[3],[5]] {{1,6},{2,4},{3,7},{5}}=>[[1,4],[2,6],[3,7],[5]] {{1,6},{2,4},{3},{5,7}}=>[[1,4],[2,6],[3,7],[5]] {{1,6},{2,4},{3},{5},{7}}=>[[1,4],[2,6],[3],[5],[7]] {{1,7},{2,4,6},{3},{5}}=>[[1,4,6],[2,7],[3],[5]] {{1},{2,4,6,7},{3},{5}}=>[[1,4,6,7],[2],[3],[5]] {{1},{2,4,6},{3,7},{5}}=>[[1,4,6],[2,7],[3],[5]] {{1},{2,4,6},{3},{5,7}}=>[[1,4,6],[2,7],[3],[5]] {{1},{2,4,6},{3},{5},{7}}=>[[1,4,6],[2],[3],[5],[7]] {{1,7},{2,4},{3,6},{5}}=>[[1,4],[2,6],[3,7],[5]] {{1},{2,4,7},{3,6},{5}}=>[[1,4,7],[2,6],[3],[5]] {{1},{2,4},{3,6,7},{5}}=>[[1,4,7],[2,6],[3],[5]] {{1},{2,4},{3,6},{5,7}}=>[[1,4],[2,6],[3,7],[5]] {{1},{2,4},{3,6},{5},{7}}=>[[1,4],[2,6],[3],[5],[7]] {{1,7},{2,4},{3},{5,6}}=>[[1,4],[2,6],[3,7],[5]] {{1},{2,4,7},{3},{5,6}}=>[[1,4,7],[2,6],[3],[5]] {{1},{2,4},{3,7},{5,6}}=>[[1,4],[2,6],[3,7],[5]] {{1},{2,4},{3},{5,6,7}}=>[[1,4,7],[2,6],[3],[5]] {{1},{2,4},{3},{5,6},{7}}=>[[1,4],[2,6],[3],[5],[7]] {{1,7},{2,4},{3},{5},{6}}=>[[1,4],[2,7],[3],[5],[6]] {{1},{2,4,7},{3},{5},{6}}=>[[1,4,7],[2],[3],[5],[6]] {{1},{2,4},{3,7},{5},{6}}=>[[1,4],[2,7],[3],[5],[6]] {{1},{2,4},{3},{5,7},{6}}=>[[1,4],[2,7],[3],[5],[6]] {{1},{2,4},{3},{5},{6,7}}=>[[1,4],[2,7],[3],[5],[6]] {{1},{2,4},{3},{5},{6},{7}}=>[[1,4],[2],[3],[5],[6],[7]] {{1,5,6,7},{2},{3,4}}=>[[1,4,6,7],[2,5],[3]] {{1,5,6},{2,7},{3,4}}=>[[1,4,6],[2,5],[3,7]] {{1,5,6},{2},{3,4,7}}=>[[1,4,6],[2,5,7],[3]] {{1,5,6},{2},{3,4},{7}}=>[[1,4,6],[2,5],[3],[7]] {{1,5,7},{2,6},{3,4}}=>[[1,4,7],[2,5],[3,6]] {{1,5},{2,6,7},{3,4}}=>[[1,4,7],[2,5],[3,6]] {{1,5},{2,6},{3,4,7}}=>[[1,4,7],[2,5],[3,6]] {{1,5},{2,6},{3,4},{7}}=>[[1,4],[2,5],[3,6],[7]] {{1,5,7},{2},{3,4,6}}=>[[1,4,6],[2,5,7],[3]] {{1,5},{2,7},{3,4,6}}=>[[1,4,6],[2,5],[3,7]] {{1,5},{2},{3,4,6,7}}=>[[1,4,6,7],[2,5],[3]] {{1,5},{2},{3,4,6},{7}}=>[[1,4,6],[2,5],[3],[7]] {{1,5,7},{2},{3,4},{6}}=>[[1,4,7],[2,5],[3],[6]] {{1,5},{2,7},{3,4},{6}}=>[[1,4],[2,5],[3,7],[6]] {{1,5},{2},{3,4,7},{6}}=>[[1,4,7],[2,5],[3],[6]] {{1,5},{2},{3,4},{6,7}}=>[[1,4],[2,5],[3,7],[6]] {{1,5},{2},{3,4},{6},{7}}=>[[1,4],[2,5],[3],[6],[7]] {{1,6,7},{2,5},{3,4}}=>[[1,4,7],[2,5],[3,6]] {{1,6},{2,5,7},{3,4}}=>[[1,4,7],[2,5],[3,6]] {{1,6},{2,5},{3,4,7}}=>[[1,4,7],[2,5],[3,6]] {{1,6},{2,5},{3,4},{7}}=>[[1,4],[2,5],[3,6],[7]] {{1,7},{2,5,6},{3,4}}=>[[1,4,6],[2,5],[3,7]] {{1},{2,5,6,7},{3,4}}=>[[1,4,6,7],[2,5],[3]] {{1},{2,5,6},{3,4,7}}=>[[1,4,6],[2,5,7],[3]] {{1},{2,5,6},{3,4},{7}}=>[[1,4,6],[2,5],[3],[7]] {{1,7},{2,5},{3,4,6}}=>[[1,4,6],[2,5],[3,7]] {{1},{2,5,7},{3,4,6}}=>[[1,4,6],[2,5,7],[3]] {{1},{2,5},{3,4,6,7}}=>[[1,4,6,7],[2,5],[3]] {{1},{2,5},{3,4,6},{7}}=>[[1,4,6],[2,5],[3],[7]] {{1,7},{2,5},{3,4},{6}}=>[[1,4],[2,5],[3,7],[6]] {{1},{2,5,7},{3,4},{6}}=>[[1,4,7],[2,5],[3],[6]] {{1},{2,5},{3,4,7},{6}}=>[[1,4,7],[2,5],[3],[6]] {{1},{2,5},{3,4},{6,7}}=>[[1,4],[2,5],[3,7],[6]] {{1},{2,5},{3,4},{6},{7}}=>[[1,4],[2,5],[3],[6],[7]] {{1,6,7},{2},{3,4,5}}=>[[1,4,5],[2,6,7],[3]] {{1,6},{2,7},{3,4,5}}=>[[1,4,5],[2,6],[3,7]] {{1,6},{2},{3,4,5,7}}=>[[1,4,5,7],[2,6],[3]] {{1,6},{2},{3,4,5},{7}}=>[[1,4,5],[2,6],[3],[7]] {{1,7},{2,6},{3,4,5}}=>[[1,4,5],[2,6],[3,7]] {{1},{2,6,7},{3,4,5}}=>[[1,4,5],[2,6,7],[3]] {{1},{2,6},{3,4,5,7}}=>[[1,4,5,7],[2,6],[3]] {{1},{2,6},{3,4,5},{7}}=>[[1,4,5],[2,6],[3],[7]] {{1,7},{2},{3,4,5,6}}=>[[1,4,5,6],[2,7],[3]] {{1},{2,7},{3,4,5,6}}=>[[1,4,5,6],[2,7],[3]] {{1},{2},{3,4,5,6,7}}=>[[1,4,5,6,7],[2],[3]] {{1},{2},{3,4,5,6},{7}}=>[[1,4,5,6],[2],[3],[7]] {{1,7},{2},{3,4,5},{6}}=>[[1,4,5],[2,7],[3],[6]] {{1},{2,7},{3,4,5},{6}}=>[[1,4,5],[2,7],[3],[6]] {{1},{2},{3,4,5,7},{6}}=>[[1,4,5,7],[2],[3],[6]] {{1},{2},{3,4,5},{6,7}}=>[[1,4,5],[2,7],[3],[6]] {{1},{2},{3,4,5},{6},{7}}=>[[1,4,5],[2],[3],[6],[7]] {{1,6,7},{2},{3,4},{5}}=>[[1,4,7],[2,6],[3],[5]] {{1,6},{2,7},{3,4},{5}}=>[[1,4],[2,6],[3,7],[5]] {{1,6},{2},{3,4,7},{5}}=>[[1,4,7],[2,6],[3],[5]] {{1,6},{2},{3,4},{5,7}}=>[[1,4],[2,6],[3,7],[5]] {{1,6},{2},{3,4},{5},{7}}=>[[1,4],[2,6],[3],[5],[7]] {{1,7},{2,6},{3,4},{5}}=>[[1,4],[2,6],[3,7],[5]] {{1},{2,6,7},{3,4},{5}}=>[[1,4,7],[2,6],[3],[5]] {{1},{2,6},{3,4,7},{5}}=>[[1,4,7],[2,6],[3],[5]] {{1},{2,6},{3,4},{5,7}}=>[[1,4],[2,6],[3,7],[5]] {{1},{2,6},{3,4},{5},{7}}=>[[1,4],[2,6],[3],[5],[7]] {{1,7},{2},{3,4,6},{5}}=>[[1,4,6],[2,7],[3],[5]] {{1},{2,7},{3,4,6},{5}}=>[[1,4,6],[2,7],[3],[5]] {{1},{2},{3,4,6,7},{5}}=>[[1,4,6,7],[2],[3],[5]] {{1},{2},{3,4,6},{5,7}}=>[[1,4,6],[2,7],[3],[5]] {{1},{2},{3,4,6},{5},{7}}=>[[1,4,6],[2],[3],[5],[7]] {{1,7},{2},{3,4},{5,6}}=>[[1,4],[2,6],[3,7],[5]] {{1},{2,7},{3,4},{5,6}}=>[[1,4],[2,6],[3,7],[5]] {{1},{2},{3,4,7},{5,6}}=>[[1,4,7],[2,6],[3],[5]] {{1},{2},{3,4},{5,6,7}}=>[[1,4,7],[2,6],[3],[5]] {{1},{2},{3,4},{5,6},{7}}=>[[1,4],[2,6],[3],[5],[7]] {{1,7},{2},{3,4},{5},{6}}=>[[1,4],[2,7],[3],[5],[6]] {{1},{2,7},{3,4},{5},{6}}=>[[1,4],[2,7],[3],[5],[6]] {{1},{2},{3,4,7},{5},{6}}=>[[1,4,7],[2],[3],[5],[6]] {{1},{2},{3,4},{5,7},{6}}=>[[1,4],[2,7],[3],[5],[6]] {{1},{2},{3,4},{5},{6,7}}=>[[1,4],[2,7],[3],[5],[6]] {{1},{2},{3,4},{5},{6},{7}}=>[[1,4],[2],[3],[5],[6],[7]] {{1,5,6,7},{2},{3},{4}}=>[[1,5,6,7],[2],[3],[4]] {{1,5,6},{2,7},{3},{4}}=>[[1,5,6],[2,7],[3],[4]] {{1,5,6},{2},{3,7},{4}}=>[[1,5,6],[2,7],[3],[4]] {{1,5,6},{2},{3},{4,7}}=>[[1,5,6],[2,7],[3],[4]] {{1,5,6},{2},{3},{4},{7}}=>[[1,5,6],[2],[3],[4],[7]] {{1,5,7},{2,6},{3},{4}}=>[[1,5,7],[2,6],[3],[4]] {{1,5},{2,6,7},{3},{4}}=>[[1,5,7],[2,6],[3],[4]] {{1,5},{2,6},{3,7},{4}}=>[[1,5],[2,6],[3,7],[4]] {{1,5},{2,6},{3},{4,7}}=>[[1,5],[2,6],[3,7],[4]] {{1,5},{2,6},{3},{4},{7}}=>[[1,5],[2,6],[3],[4],[7]] {{1,5,7},{2},{3,6},{4}}=>[[1,5,7],[2,6],[3],[4]] {{1,5},{2,7},{3,6},{4}}=>[[1,5],[2,6],[3,7],[4]] {{1,5},{2},{3,6,7},{4}}=>[[1,5,7],[2,6],[3],[4]] {{1,5},{2},{3,6},{4,7}}=>[[1,5],[2,6],[3,7],[4]] {{1,5},{2},{3,6},{4},{7}}=>[[1,5],[2,6],[3],[4],[7]] {{1,5,7},{2},{3},{4,6}}=>[[1,5,7],[2,6],[3],[4]] {{1,5},{2,7},{3},{4,6}}=>[[1,5],[2,6],[3,7],[4]] {{1,5},{2},{3,7},{4,6}}=>[[1,5],[2,6],[3,7],[4]] {{1,5},{2},{3},{4,6,7}}=>[[1,5,7],[2,6],[3],[4]] {{1,5},{2},{3},{4,6},{7}}=>[[1,5],[2,6],[3],[4],[7]] {{1,5,7},{2},{3},{4},{6}}=>[[1,5,7],[2],[3],[4],[6]] {{1,5},{2,7},{3},{4},{6}}=>[[1,5],[2,7],[3],[4],[6]] {{1,5},{2},{3,7},{4},{6}}=>[[1,5],[2,7],[3],[4],[6]] {{1,5},{2},{3},{4,7},{6}}=>[[1,5],[2,7],[3],[4],[6]] {{1,5},{2},{3},{4},{6,7}}=>[[1,5],[2,7],[3],[4],[6]] {{1,5},{2},{3},{4},{6},{7}}=>[[1,5],[2],[3],[4],[6],[7]] {{1,6,7},{2,5},{3},{4}}=>[[1,5,7],[2,6],[3],[4]] {{1,6},{2,5,7},{3},{4}}=>[[1,5,7],[2,6],[3],[4]] {{1,6},{2,5},{3,7},{4}}=>[[1,5],[2,6],[3,7],[4]] {{1,6},{2,5},{3},{4,7}}=>[[1,5],[2,6],[3,7],[4]] {{1,6},{2,5},{3},{4},{7}}=>[[1,5],[2,6],[3],[4],[7]] {{1,7},{2,5,6},{3},{4}}=>[[1,5,6],[2,7],[3],[4]] {{1},{2,5,6,7},{3},{4}}=>[[1,5,6,7],[2],[3],[4]] {{1},{2,5,6},{3,7},{4}}=>[[1,5,6],[2,7],[3],[4]] {{1},{2,5,6},{3},{4,7}}=>[[1,5,6],[2,7],[3],[4]] {{1},{2,5,6},{3},{4},{7}}=>[[1,5,6],[2],[3],[4],[7]] {{1,7},{2,5},{3,6},{4}}=>[[1,5],[2,6],[3,7],[4]] {{1},{2,5,7},{3,6},{4}}=>[[1,5,7],[2,6],[3],[4]] {{1},{2,5},{3,6,7},{4}}=>[[1,5,7],[2,6],[3],[4]] {{1},{2,5},{3,6},{4,7}}=>[[1,5],[2,6],[3,7],[4]] {{1},{2,5},{3,6},{4},{7}}=>[[1,5],[2,6],[3],[4],[7]] {{1,7},{2,5},{3},{4,6}}=>[[1,5],[2,6],[3,7],[4]] {{1},{2,5,7},{3},{4,6}}=>[[1,5,7],[2,6],[3],[4]] {{1},{2,5},{3,7},{4,6}}=>[[1,5],[2,6],[3,7],[4]] {{1},{2,5},{3},{4,6,7}}=>[[1,5,7],[2,6],[3],[4]] {{1},{2,5},{3},{4,6},{7}}=>[[1,5],[2,6],[3],[4],[7]] {{1,7},{2,5},{3},{4},{6}}=>[[1,5],[2,7],[3],[4],[6]] {{1},{2,5,7},{3},{4},{6}}=>[[1,5,7],[2],[3],[4],[6]] {{1},{2,5},{3,7},{4},{6}}=>[[1,5],[2,7],[3],[4],[6]] {{1},{2,5},{3},{4,7},{6}}=>[[1,5],[2,7],[3],[4],[6]] {{1},{2,5},{3},{4},{6,7}}=>[[1,5],[2,7],[3],[4],[6]] {{1},{2,5},{3},{4},{6},{7}}=>[[1,5],[2],[3],[4],[6],[7]] {{1,6,7},{2},{3,5},{4}}=>[[1,5,7],[2,6],[3],[4]] {{1,6},{2,7},{3,5},{4}}=>[[1,5],[2,6],[3,7],[4]] {{1,6},{2},{3,5,7},{4}}=>[[1,5,7],[2,6],[3],[4]] {{1,6},{2},{3,5},{4,7}}=>[[1,5],[2,6],[3,7],[4]] {{1,6},{2},{3,5},{4},{7}}=>[[1,5],[2,6],[3],[4],[7]] {{1,7},{2,6},{3,5},{4}}=>[[1,5],[2,6],[3,7],[4]] {{1},{2,6,7},{3,5},{4}}=>[[1,5,7],[2,6],[3],[4]] {{1},{2,6},{3,5,7},{4}}=>[[1,5,7],[2,6],[3],[4]] {{1},{2,6},{3,5},{4,7}}=>[[1,5],[2,6],[3,7],[4]] {{1},{2,6},{3,5},{4},{7}}=>[[1,5],[2,6],[3],[4],[7]] {{1,7},{2},{3,5,6},{4}}=>[[1,5,6],[2,7],[3],[4]] {{1},{2,7},{3,5,6},{4}}=>[[1,5,6],[2,7],[3],[4]] {{1},{2},{3,5,6,7},{4}}=>[[1,5,6,7],[2],[3],[4]] {{1},{2},{3,5,6},{4,7}}=>[[1,5,6],[2,7],[3],[4]] {{1},{2},{3,5,6},{4},{7}}=>[[1,5,6],[2],[3],[4],[7]] {{1,7},{2},{3,5},{4,6}}=>[[1,5],[2,6],[3,7],[4]] {{1},{2,7},{3,5},{4,6}}=>[[1,5],[2,6],[3,7],[4]] {{1},{2},{3,5,7},{4,6}}=>[[1,5,7],[2,6],[3],[4]] {{1},{2},{3,5},{4,6,7}}=>[[1,5,7],[2,6],[3],[4]] {{1},{2},{3,5},{4,6},{7}}=>[[1,5],[2,6],[3],[4],[7]] {{1,7},{2},{3,5},{4},{6}}=>[[1,5],[2,7],[3],[4],[6]] {{1},{2,7},{3,5},{4},{6}}=>[[1,5],[2,7],[3],[4],[6]] {{1},{2},{3,5,7},{4},{6}}=>[[1,5,7],[2],[3],[4],[6]] {{1},{2},{3,5},{4,7},{6}}=>[[1,5],[2,7],[3],[4],[6]] {{1},{2},{3,5},{4},{6,7}}=>[[1,5],[2,7],[3],[4],[6]] {{1},{2},{3,5},{4},{6},{7}}=>[[1,5],[2],[3],[4],[6],[7]] {{1,6,7},{2},{3},{4,5}}=>[[1,5,7],[2,6],[3],[4]] {{1,6},{2,7},{3},{4,5}}=>[[1,5],[2,6],[3,7],[4]] {{1,6},{2},{3,7},{4,5}}=>[[1,5],[2,6],[3,7],[4]] {{1,6},{2},{3},{4,5,7}}=>[[1,5,7],[2,6],[3],[4]] {{1,6},{2},{3},{4,5},{7}}=>[[1,5],[2,6],[3],[4],[7]] {{1,7},{2,6},{3},{4,5}}=>[[1,5],[2,6],[3,7],[4]] {{1},{2,6,7},{3},{4,5}}=>[[1,5,7],[2,6],[3],[4]] {{1},{2,6},{3,7},{4,5}}=>[[1,5],[2,6],[3,7],[4]] {{1},{2,6},{3},{4,5,7}}=>[[1,5,7],[2,6],[3],[4]] {{1},{2,6},{3},{4,5},{7}}=>[[1,5],[2,6],[3],[4],[7]] {{1,7},{2},{3,6},{4,5}}=>[[1,5],[2,6],[3,7],[4]] {{1},{2,7},{3,6},{4,5}}=>[[1,5],[2,6],[3,7],[4]] {{1},{2},{3,6,7},{4,5}}=>[[1,5,7],[2,6],[3],[4]] {{1},{2},{3,6},{4,5,7}}=>[[1,5,7],[2,6],[3],[4]] {{1},{2},{3,6},{4,5},{7}}=>[[1,5],[2,6],[3],[4],[7]] {{1,7},{2},{3},{4,5,6}}=>[[1,5,6],[2,7],[3],[4]] {{1},{2,7},{3},{4,5,6}}=>[[1,5,6],[2,7],[3],[4]] {{1},{2},{3,7},{4,5,6}}=>[[1,5,6],[2,7],[3],[4]] {{1},{2},{3},{4,5,6,7}}=>[[1,5,6,7],[2],[3],[4]] {{1},{2},{3},{4,5,6},{7}}=>[[1,5,6],[2],[3],[4],[7]] {{1,7},{2},{3},{4,5},{6}}=>[[1,5],[2,7],[3],[4],[6]] {{1},{2,7},{3},{4,5},{6}}=>[[1,5],[2,7],[3],[4],[6]] {{1},{2},{3,7},{4,5},{6}}=>[[1,5],[2,7],[3],[4],[6]] {{1},{2},{3},{4,5,7},{6}}=>[[1,5,7],[2],[3],[4],[6]] {{1},{2},{3},{4,5},{6,7}}=>[[1,5],[2,7],[3],[4],[6]] {{1},{2},{3},{4,5},{6},{7}}=>[[1,5],[2],[3],[4],[6],[7]] {{1,6,7},{2},{3},{4},{5}}=>[[1,6,7],[2],[3],[4],[5]] {{1,6},{2,7},{3},{4},{5}}=>[[1,6],[2,7],[3],[4],[5]] {{1,6},{2},{3,7},{4},{5}}=>[[1,6],[2,7],[3],[4],[5]] {{1,6},{2},{3},{4,7},{5}}=>[[1,6],[2,7],[3],[4],[5]] {{1,6},{2},{3},{4},{5,7}}=>[[1,6],[2,7],[3],[4],[5]] {{1,6},{2},{3},{4},{5},{7}}=>[[1,6],[2],[3],[4],[5],[7]] {{1,7},{2,6},{3},{4},{5}}=>[[1,6],[2,7],[3],[4],[5]] {{1},{2,6,7},{3},{4},{5}}=>[[1,6,7],[2],[3],[4],[5]] {{1},{2,6},{3,7},{4},{5}}=>[[1,6],[2,7],[3],[4],[5]] {{1},{2,6},{3},{4,7},{5}}=>[[1,6],[2,7],[3],[4],[5]] {{1},{2,6},{3},{4},{5,7}}=>[[1,6],[2,7],[3],[4],[5]] {{1},{2,6},{3},{4},{5},{7}}=>[[1,6],[2],[3],[4],[5],[7]] {{1,7},{2},{3,6},{4},{5}}=>[[1,6],[2,7],[3],[4],[5]] {{1},{2,7},{3,6},{4},{5}}=>[[1,6],[2,7],[3],[4],[5]] {{1},{2},{3,6,7},{4},{5}}=>[[1,6,7],[2],[3],[4],[5]] {{1},{2},{3,6},{4,7},{5}}=>[[1,6],[2,7],[3],[4],[5]] {{1},{2},{3,6},{4},{5,7}}=>[[1,6],[2,7],[3],[4],[5]] {{1},{2},{3,6},{4},{5},{7}}=>[[1,6],[2],[3],[4],[5],[7]] {{1,7},{2},{3},{4,6},{5}}=>[[1,6],[2,7],[3],[4],[5]] {{1},{2,7},{3},{4,6},{5}}=>[[1,6],[2,7],[3],[4],[5]] {{1},{2},{3,7},{4,6},{5}}=>[[1,6],[2,7],[3],[4],[5]] {{1},{2},{3},{4,6,7},{5}}=>[[1,6,7],[2],[3],[4],[5]] {{1},{2},{3},{4,6},{5,7}}=>[[1,6],[2,7],[3],[4],[5]] {{1},{2},{3},{4,6},{5},{7}}=>[[1,6],[2],[3],[4],[5],[7]] {{1,7},{2},{3},{4},{5,6}}=>[[1,6],[2,7],[3],[4],[5]] {{1},{2,7},{3},{4},{5,6}}=>[[1,6],[2,7],[3],[4],[5]] {{1},{2},{3,7},{4},{5,6}}=>[[1,6],[2,7],[3],[4],[5]] {{1},{2},{3},{4,7},{5,6}}=>[[1,6],[2,7],[3],[4],[5]] {{1},{2},{3},{4},{5,6,7}}=>[[1,6,7],[2],[3],[4],[5]] {{1},{2},{3},{4},{5,6},{7}}=>[[1,6],[2],[3],[4],[5],[7]] {{1,7},{2},{3},{4},{5},{6}}=>[[1,7],[2],[3],[4],[5],[6]] {{1},{2,7},{3},{4},{5},{6}}=>[[1,7],[2],[3],[4],[5],[6]] {{1},{2},{3,7},{4},{5},{6}}=>[[1,7],[2],[3],[4],[5],[6]] {{1},{2},{3},{4,7},{5},{6}}=>[[1,7],[2],[3],[4],[5],[6]] {{1},{2},{3},{4},{5,7},{6}}=>[[1,7],[2],[3],[4],[5],[6]] {{1},{2},{3},{4},{5},{6,7}}=>[[1,7],[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},{7,8}}=>[[1,2],[3,4],[5,6],[7,8]] {{1,3},{2,4},{5,6},{7,8}}=>[[1,3],[2,4],[5,6],[7,8]] {{1,4},{2,3},{5,6},{7,8}}=>[[1,3],[2,4],[5,6],[7,8]] {{1,5},{2,3},{4,6},{7,8}}=>[[1,3],[2,5],[4,6],[7,8]] {{1,6},{2,3},{4,5},{7,8}}=>[[1,3],[2,5],[4,6],[7,8]] {{1,7},{2,3},{4,5},{6,8}}=>[[1,3],[2,5],[4,7],[6,8]] {{1,8},{2,3},{4,5},{6,7}}=>[[1,3],[2,5],[4,7],[6,8]] {{1,8},{2,4},{3,5},{6,7}}=>[[1,4],[2,5],[3,7],[6,8]] {{1,7},{2,4},{3,5},{6,8}}=>[[1,4],[2,5],[3,7],[6,8]] {{1,6},{2,4},{3,5},{7,8}}=>[[1,4],[2,5],[3,6],[7,8]] {{1,5},{2,4},{3,6},{7,8}}=>[[1,4],[2,5],[3,6],[7,8]] {{1,4},{2,5},{3,6},{7,8}}=>[[1,4],[2,5],[3,6],[7,8]] {{1,3},{2,5},{4,6},{7,8}}=>[[1,3],[2,5],[4,6],[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],[3,5],[4,6],[7,8]] {{1,3},{2,6},{4,5},{7,8}}=>[[1,3],[2,5],[4,6],[7,8]] {{1,4},{2,6},{3,5},{7,8}}=>[[1,4],[2,5],[3,6],[7,8]] {{1,5},{2,6},{3,4},{7,8}}=>[[1,4],[2,5],[3,6],[7,8]] {{1,6},{2,5},{3,4},{7,8}}=>[[1,4],[2,5],[3,6],[7,8]] {{1,7},{2,5},{3,4},{6,8}}=>[[1,4],[2,5],[3,7],[6,8]] {{1,8},{2,5},{3,4},{6,7}}=>[[1,4],[2,5],[3,7],[6,8]] {{1,8},{2,6},{3,4},{5,7}}=>[[1,4],[2,6],[3,7],[5,8]] {{1,7},{2,6},{3,4},{5,8}}=>[[1,4],[2,6],[3,7],[5,8]] {{1,6},{2,7},{3,4},{5,8}}=>[[1,4],[2,6],[3,7],[5,8]] {{1,5},{2,7},{3,4},{6,8}}=>[[1,4],[2,5],[3,7],[6,8]] {{1,4},{2,7},{3,5},{6,8}}=>[[1,4],[2,5],[3,7],[6,8]] {{1,3},{2,7},{4,5},{6,8}}=>[[1,3],[2,5],[4,7],[6,8]] {{1,2},{3,7},{4,5},{6,8}}=>[[1,2],[3,5],[4,7],[6,8]] {{1,2},{3,8},{4,5},{6,7}}=>[[1,2],[3,5],[4,7],[6,8]] {{1,3},{2,8},{4,5},{6,7}}=>[[1,3],[2,5],[4,7],[6,8]] {{1,4},{2,8},{3,5},{6,7}}=>[[1,4],[2,5],[3,7],[6,8]] {{1,5},{2,8},{3,4},{6,7}}=>[[1,4],[2,5],[3,7],[6,8]] {{1,6},{2,8},{3,4},{5,7}}=>[[1,4],[2,6],[3,7],[5,8]] {{1,7},{2,8},{3,4},{5,6}}=>[[1,4],[2,6],[3,7],[5,8]] {{1,8},{2,7},{3,4},{5,6}}=>[[1,4],[2,6],[3,7],[5,8]] {{1,8},{2,7},{3,5},{4,6}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,7},{2,8},{3,5},{4,6}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,6},{2,8},{3,5},{4,7}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,5},{2,8},{3,6},{4,7}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,4},{2,8},{3,6},{5,7}}=>[[1,4],[2,6],[3,7],[5,8]] {{1,3},{2,8},{4,6},{5,7}}=>[[1,3],[2,6],[4,7],[5,8]] {{1,2},{3,8},{4,6},{5,7}}=>[[1,2],[3,6],[4,7],[5,8]] {{1,2},{3,7},{4,6},{5,8}}=>[[1,2],[3,6],[4,7],[5,8]] {{1,3},{2,7},{4,6},{5,8}}=>[[1,3],[2,6],[4,7],[5,8]] {{1,4},{2,7},{3,6},{5,8}}=>[[1,4],[2,6],[3,7],[5,8]] {{1,5},{2,7},{3,6},{4,8}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,6},{2,7},{3,5},{4,8}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,7},{2,6},{3,5},{4,8}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,8},{2,6},{3,5},{4,7}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,8},{2,5},{3,6},{4,7}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,7},{2,5},{3,6},{4,8}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,6},{2,5},{3,7},{4,8}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,5},{2,6},{3,7},{4,8}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,4},{2,6},{3,7},{5,8}}=>[[1,4],[2,6],[3,7],[5,8]] {{1,3},{2,6},{4,7},{5,8}}=>[[1,3],[2,6],[4,7],[5,8]] {{1,2},{3,6},{4,7},{5,8}}=>[[1,2],[3,6],[4,7],[5,8]] {{1,2},{3,5},{4,7},{6,8}}=>[[1,2],[3,5],[4,7],[6,8]] {{1,3},{2,5},{4,7},{6,8}}=>[[1,3],[2,5],[4,7],[6,8]] {{1,4},{2,5},{3,7},{6,8}}=>[[1,4],[2,5],[3,7],[6,8]] {{1,5},{2,4},{3,7},{6,8}}=>[[1,4],[2,5],[3,7],[6,8]] {{1,6},{2,4},{3,7},{5,8}}=>[[1,4],[2,6],[3,7],[5,8]] {{1,7},{2,4},{3,6},{5,8}}=>[[1,4],[2,6],[3,7],[5,8]] {{1,8},{2,4},{3,6},{5,7}}=>[[1,4],[2,6],[3,7],[5,8]] {{1,8},{2,3},{4,6},{5,7}}=>[[1,3],[2,6],[4,7],[5,8]] {{1,7},{2,3},{4,6},{5,8}}=>[[1,3],[2,6],[4,7],[5,8]] {{1,6},{2,3},{4,7},{5,8}}=>[[1,3],[2,6],[4,7],[5,8]] {{1,5},{2,3},{4,7},{6,8}}=>[[1,3],[2,5],[4,7],[6,8]] {{1,4},{2,3},{5,7},{6,8}}=>[[1,3],[2,4],[5,7],[6,8]] {{1,3},{2,4},{5,7},{6,8}}=>[[1,3],[2,4],[5,7],[6,8]] {{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],[5,7],[6,8]] {{1,3},{2,4},{5,8},{6,7}}=>[[1,3],[2,4],[5,7],[6,8]] {{1,4},{2,3},{5,8},{6,7}}=>[[1,3],[2,4],[5,7],[6,8]] {{1,5},{2,3},{4,8},{6,7}}=>[[1,3],[2,5],[4,7],[6,8]] {{1,6},{2,3},{4,8},{5,7}}=>[[1,3],[2,6],[4,7],[5,8]] {{1,7},{2,3},{4,8},{5,6}}=>[[1,3],[2,6],[4,7],[5,8]] {{1,8},{2,3},{4,7},{5,6}}=>[[1,3],[2,6],[4,7],[5,8]] {{1,8},{2,4},{3,7},{5,6}}=>[[1,4],[2,6],[3,7],[5,8]] {{1,7},{2,4},{3,8},{5,6}}=>[[1,4],[2,6],[3,7],[5,8]] {{1,6},{2,4},{3,8},{5,7}}=>[[1,4],[2,6],[3,7],[5,8]] {{1,5},{2,4},{3,8},{6,7}}=>[[1,4],[2,5],[3,7],[6,8]] {{1,4},{2,5},{3,8},{6,7}}=>[[1,4],[2,5],[3,7],[6,8]] {{1,3},{2,5},{4,8},{6,7}}=>[[1,3],[2,5],[4,7],[6,8]] {{1,2},{3,5},{4,8},{6,7}}=>[[1,2],[3,5],[4,7],[6,8]] {{1,2},{3,6},{4,8},{5,7}}=>[[1,2],[3,6],[4,7],[5,8]] {{1,3},{2,6},{4,8},{5,7}}=>[[1,3],[2,6],[4,7],[5,8]] {{1,4},{2,6},{3,8},{5,7}}=>[[1,4],[2,6],[3,7],[5,8]] {{1,5},{2,6},{3,8},{4,7}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,6},{2,5},{3,8},{4,7}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,7},{2,5},{3,8},{4,6}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,8},{2,5},{3,7},{4,6}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,8},{2,6},{3,7},{4,5}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,7},{2,6},{3,8},{4,5}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,6},{2,7},{3,8},{4,5}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,5},{2,7},{3,8},{4,6}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,4},{2,7},{3,8},{5,6}}=>[[1,4],[2,6],[3,7],[5,8]] {{1,3},{2,7},{4,8},{5,6}}=>[[1,3],[2,6],[4,7],[5,8]] {{1,2},{3,7},{4,8},{5,6}}=>[[1,2],[3,6],[4,7],[5,8]] {{1,2},{3,8},{4,7},{5,6}}=>[[1,2],[3,6],[4,7],[5,8]] {{1,3},{2,8},{4,7},{5,6}}=>[[1,3],[2,6],[4,7],[5,8]] {{1,4},{2,8},{3,7},{5,6}}=>[[1,4],[2,6],[3,7],[5,8]] {{1,5},{2,8},{3,7},{4,6}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,6},{2,8},{3,7},{4,5}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,7},{2,8},{3,6},{4,5}}=>[[1,5],[2,6],[3,7],[4,8]] {{1,8},{2,7},{3,6},{4,5}}=>[[1,5],[2,6],[3,7],[4,8]] {{1},{2,3},{4,5,6,8},{7}}=>[[1,3,6,8],[2,5],[4],[7]] {{1},{2,4,6,8},{3},{5},{7}}=>[[1,4,6,8],[2],[3],[5],[7]] {{1},{2,4,8},{3},{5,7},{6}}=>[[1,4,8],[2,7],[3],[5],[6]] {{1},{2,8},{3,4},{5,6,7}}=>[[1,4,7],[2,6],[3,8],[5]] {{1},{2,3,5},{4},{6,7,8}}=>[[1,3,5],[2,7,8],[4],[6]] {{1},{2,6,8},{3,5},{4},{7}}=>[[1,5,8],[2,6],[3],[4],[7]] {{1},{2,8},{3,5,7},{4},{6}}=>[[1,5,7],[2,8],[3],[4],[6]] {{1},{2,8},{3,7},{4,6},{5}}=>[[1,6],[2,7],[3,8],[4],[5]] {{1,2},{3,4},{5,7,8},{6}}=>[[1,2,8],[3,4],[5,7],[6]] {{1,2},{3,4},{5,6,8},{7}}=>[[1,2,8],[3,4],[5,6],[7]] {{1,2},{3,6,7,8},{4},{5}}=>[[1,2,7,8],[3,6],[4],[5]] {{1,2},{3,5,6},{4},{7,8}}=>[[1,2,6],[3,5],[4,8],[7]] {{1,2},{3,7,8},{4},{5,6}}=>[[1,2,8],[3,6],[4,7],[5]] {{1,2},{3,5,8},{4},{6,7}}=>[[1,2,8],[3,5],[4,7],[6]] {{1,2},{3,5,6,8},{4},{7}}=>[[1,2,6,8],[3,5],[4],[7]] {{1,2},{3,6,8},{4,5},{7}}=>[[1,2,8],[3,5],[4,6],[7]] {{1,2},{3,4,6},{5},{7,8}}=>[[1,2,6],[3,4],[5,8],[7]] {{1,2},{3,7,8},{4,6},{5}}=>[[1,2,8],[3,6],[4,7],[5]] {{1,2},{3,8},{4,6,7},{5}}=>[[1,2,7],[3,6],[4,8],[5]] {{1,2},{3,4,8},{5},{6,7}}=>[[1,2,8],[3,4],[5,7],[6]] {{1,2},{3,4,6,8},{5},{7}}=>[[1,2,6,8],[3,4],[5],[7]] {{1,2},{3,8},{4,5,7},{6}}=>[[1,2,7],[3,5],[4,8],[6]] {{1,2},{3,4,8},{5,7},{6}}=>[[1,2,8],[3,4],[5,7],[6]] {{1,3},{2},{4,6,8},{5},{7}}=>[[1,3,8],[2,6],[4],[5],[7]] {{1,3},{2},{4,8},{5,7},{6}}=>[[1,3],[2,7],[4,8],[5],[6]] {{1,3},{2},{4,5,6,8},{7}}=>[[1,3,6,8],[2,5],[4],[7]] {{1,5,6,7,8},{2},{3},{4}}=>[[1,5,6,7,8],[2],[3],[4]] {{1,6,7,8},{2},{3},{4,5}}=>[[1,5,7,8],[2,6],[3],[4]] {{1,4,5,6},{2},{3},{7,8}}=>[[1,4,5,6],[2,8],[3],[7]] {{1,4,7,8},{2},{3},{5,6}}=>[[1,4,7,8],[2,6],[3],[5]] {{1,4,5,8},{2},{3},{6,7}}=>[[1,4,5,8],[2,7],[3],[6]] {{1,3,4},{2},{5,6},{7,8}}=>[[1,3,4],[2,6],[5,8],[7]] {{1,3,4},{2},{5,7,8},{6}}=>[[1,3,4],[2,7,8],[5],[6]] {{1,3,4},{2},{5,8},{6,7}}=>[[1,3,4],[2,7],[5,8],[6]] {{1,5,6},{2},{3,4},{7,8}}=>[[1,4,6],[2,5],[3,8],[7]] {{1,7,8},{2},{3,4},{5,6}}=>[[1,4,8],[2,6],[3,7],[5]] {{1,5,8},{2},{3,4},{6,7}}=>[[1,4,8],[2,5],[3,7],[6]] {{1,3,5},{2},{4},{6,8},{7}}=>[[1,3,5],[2,8],[4],[6],[7]] {{1,3,5},{2},{4},{6,7,8}}=>[[1,3,5],[2,7,8],[4],[6]] {{1,6,7,8},{2},{3,5},{4}}=>[[1,5,7,8],[2,6],[3],[4]] {{1,7,8},{2},{3,5,6},{4}}=>[[1,5,6],[2,7,8],[3],[4]] {{1,3,5,7},{2},{4},{6},{8}}=>[[1,3,5,7],[2],[4],[6],[8]] {{1,3,6},{2},{4,5},{7,8}}=>[[1,3,6],[2,5],[4,8],[7]] {{1,7,8},{2},{3,6},{4,5}}=>[[1,5,8],[2,6],[3,7],[4]] {{1,3,8},{2},{4,5},{6,7}}=>[[1,3,8],[2,5],[4,7],[6]] {{1,3,7},{2},{4,6},{5},{8}}=>[[1,3,7],[2,6],[4],[5],[8]] {{1,3,8},{2},{4,6,7},{5}}=>[[1,3,7],[2,6,8],[4],[5]] {{1,3,8},{2},{4,7},{5,6}}=>[[1,3,8],[2,6],[4,7],[5]] {{1,4},{2,3},{5,7,8},{6}}=>[[1,3,8],[2,4],[5,7],[6]] {{1,4},{2,3},{5,6,8},{7}}=>[[1,3,8],[2,4],[5,6],[7]] {{1,8},{2,3},{4},{5,6,7}}=>[[1,3,7],[2,6],[4,8],[5]] {{1,6,8},{2,3},{4,5},{7}}=>[[1,3,8],[2,5],[4,6],[7]] {{1,4,6},{2,3},{5},{7,8}}=>[[1,3,6],[2,4],[5,8],[7]] {{1,8},{2,3},{4,6,7},{5}}=>[[1,3,7],[2,6],[4,8],[5]] {{1,4,8},{2,3},{5},{6,7}}=>[[1,3,8],[2,4],[5,7],[6]] {{1,4,6,8},{2,3},{5},{7}}=>[[1,3,6,8],[2,4],[5],[7]] {{1,8},{2,3},{4,5,7},{6}}=>[[1,3,7],[2,5],[4,8],[6]] {{1,4,8},{2,3},{5,7},{6}}=>[[1,3,8],[2,4],[5,7],[6]] {{1,2,4},{3},{5,6},{7,8}}=>[[1,2,4],[3,6],[5,8],[7]] {{1,2,4},{3},{5,8},{6,7}}=>[[1,2,4],[3,7],[5,8],[6]] {{1,2,4},{3},{5,6,8},{7}}=>[[1,2,4],[3,6,8],[5],[7]] {{1,5},{2,4},{3},{6,8},{7}}=>[[1,4],[2,5],[3,8],[6],[7]] {{1,5,6},{2,4},{3},{7,8}}=>[[1,4,6],[2,5],[3,8],[7]] {{1,7,8},{2,4},{3},{5,6}}=>[[1,4,8],[2,6],[3,7],[5]] {{1,5,7},{2,4},{3},{6},{8}}=>[[1,4,7],[2,5],[3],[6],[8]] {{1,5,8},{2,4},{3},{6,7}}=>[[1,4,8],[2,5],[3,7],[6]] {{1,6,7,8},{2,5},{3},{4}}=>[[1,5,7,8],[2,6],[3],[4]] {{1,7,8},{2,5,6},{3},{4}}=>[[1,5,6],[2,7,8],[3],[4]] {{1,8},{2,5,6,7},{3},{4}}=>[[1,5,6,7],[2,8],[3],[4]] {{1,6},{2,4,5},{3},{7,8}}=>[[1,4,5],[2,6],[3,8],[7]] {{1,8},{2,4,5},{3},{6,7}}=>[[1,4,5],[2,7],[3,8],[6]] {{1,2,6},{3},{4,5},{7,8}}=>[[1,2,6],[3,5],[4,8],[7]] {{1,7,8},{2,6},{3},{4,5}}=>[[1,5,8],[2,6],[3,7],[4]] {{1,8},{2,6,7},{3},{4,5}}=>[[1,5,7],[2,6],[3,8],[4]] {{1,2,8},{3},{4,5},{6,7}}=>[[1,2,8],[3,5],[4,7],[6]] {{1,2,6,8},{3},{4,5},{7}}=>[[1,2,6,8],[3,5],[4],[7]] {{1,2,4,6},{3},{5},{7,8}}=>[[1,2,4,6],[3,8],[5],[7]] {{1,7},{2,4,6},{3},{5},{8}}=>[[1,4,6],[2,7],[3],[5],[8]] {{1,2,4,8},{3},{5},{6,7}}=>[[1,2,4,8],[3,7],[5],[6]] {{1,2,4,6,8},{3},{5},{7}}=>[[1,2,4,6,8],[3],[5],[7]] {{1,8},{2,4,7},{3},{5,6}}=>[[1,4,7],[2,6],[3,8],[5]] {{1,2,8},{3},{4,7},{5,6}}=>[[1,2,8],[3,6],[4,7],[5]] {{1,2,8},{3},{4,5,7},{6}}=>[[1,2,7],[3,5,8],[4],[6]] {{1,2,4,8},{3},{5,7},{6}}=>[[1,2,4,8],[3,7],[5],[6]] {{1,6,8},{2,5},{3,4},{7}}=>[[1,4,8],[2,5],[3,6],[7]] {{1,8},{2,5,7},{3,4},{6}}=>[[1,4,7],[2,5],[3,8],[6]] {{1,6},{2,3,5},{4},{7,8}}=>[[1,3,5],[2,6],[4,8],[7]] {{1,8},{2,3,5},{4},{6,7}}=>[[1,3,5],[2,7],[4,8],[6]] {{1,6,8},{2,3,5},{4},{7}}=>[[1,3,5],[2,6,8],[4],[7]] {{1,2,6},{3,5},{4},{7,8}}=>[[1,2,6],[3,5],[4,8],[7]] {{1,7},{2,6},{3,5},{4},{8}}=>[[1,5],[2,6],[3,7],[4],[8]] {{1,7,8},{2,6},{3,5},{4}}=>[[1,5,8],[2,6],[3,7],[4]] {{1,8},{2,6,7},{3,5},{4}}=>[[1,5,7],[2,6],[3,8],[4]] {{1,2,8},{3,5},{4},{6,7}}=>[[1,2,8],[3,5],[4,7],[6]] {{1,2,6,8},{3,5},{4},{7}}=>[[1,2,6,8],[3,5],[4],[7]] {{1,8},{2,7},{3,5,6},{4}}=>[[1,5,6],[2,7],[3,8],[4]] {{1,8},{2,3,7},{4},{5,6}}=>[[1,3,7],[2,6],[4,8],[5]] {{1,2,8},{3,7},{4},{5,6}}=>[[1,2,8],[3,6],[4,7],[5]] {{1,8},{2,3,5,7},{4},{6}}=>[[1,3,5,7],[2,8],[4],[6]] {{1,2,8},{3,5,7},{4},{6}}=>[[1,2,7],[3,5,8],[4],[6]] {{1,8},{2,3,7},{4,5},{6}}=>[[1,3,7],[2,5],[4,8],[6]] {{1,8},{2,7},{3,4,6},{5}}=>[[1,4,6],[2,7],[3,8],[5]] {{1,8},{2,3,7},{4,6},{5}}=>[[1,3,7],[2,6],[4,8],[5]] {{1,2,8},{3,7},{4,6},{5}}=>[[1,2,8],[3,6],[4,7],[5]] {{1,5,7,8},{2,6},{3},{4}}=>[[1,5,7,8],[2,6],[3],[4]] {{1,5,6,8},{2,7},{3},{4}}=>[[1,5,6,8],[2,7],[3],[4]] {{1,2,4,8},{3,7},{5},{6}}=>[[1,2,4,8],[3,7],[5],[6]] {{1,3,6,8},{2,4},{5},{7}}=>[[1,3,6,8],[2,4],[5],[7]] {{1,2,5,8},{3,6},{4},{7}}=>[[1,2,5,8],[3,6],[4],[7]] {{1,3,4,8},{2,6},{5},{7}}=>[[1,3,4,8],[2,6],[5],[7]] {{1,2,4,8},{3,6},{5},{7}}=>[[1,2,4,8],[3,6],[5],[7]] {{1,4,6,7},{2,8},{3},{5}}=>[[1,4,6,7],[2,8],[3],[5]] {{1,3,5,7},{2,8},{4},{6}}=>[[1,3,5,7],[2,8],[4],[6]] {{1,3,4,7},{2,8},{5},{6}}=>[[1,3,4,7],[2,8],[5],[6]] {{1,2,4,7},{3,8},{5},{6}}=>[[1,2,4,7],[3,8],[5],[6]] {{1,2,5,6},{3,8},{4},{7}}=>[[1,2,5,6],[3,8],[4],[7]] {{1,3,5,7},{2,6},{4},{8}}=>[[1,3,5,7],[2,6],[4],[8]] {{1,3,5,7},{2,4},{6},{8}}=>[[1,3,5,7],[2,4],[6],[8]] {{1,4,7},{2,6,8},{3},{5}}=>[[1,4,7],[2,6,8],[3],[5]] {{1,3,7},{2,4,8},{5},{6}}=>[[1,3,7],[2,4,8],[5],[6]] {{1,3,6},{2,7,8},{4},{5}}=>[[1,3,6],[2,7,8],[4],[5]] {{1,2,4},{3,7,8},{5},{6}}=>[[1,2,4],[3,7,8],[5],[6]] {{1,2,6},{3,5,8},{4},{7}}=>[[1,2,6],[3,5,8],[4],[7]] {{1,3,6},{2,4,8},{5},{7}}=>[[1,3,6],[2,4,8],[5],[7]] {{1,3,5},{2,6,8},{4},{7}}=>[[1,3,5],[2,6,8],[4],[7]] {{1,3,4},{2,6,8},{5},{7}}=>[[1,3,4],[2,6,8],[5],[7]] {{1,2,4},{3,6,8},{5},{7}}=>[[1,2,4],[3,6,8],[5],[7]] {{1,4,8},{2,6},{3,7},{5}}=>[[1,4,8],[2,6],[3,7],[5]] {{1,3,8},{2,6},{4,7},{5}}=>[[1,3,8],[2,6],[4,7],[5]] {{1,2,8},{3,6},{4,7},{5}}=>[[1,2,8],[3,6],[4,7],[5]] {{1,4,8},{2,5},{3,7},{6}}=>[[1,4,8],[2,5],[3,7],[6]] {{1,3,8},{2,5},{4,7},{6}}=>[[1,3,8],[2,5],[4,7],[6]] {{1,2,8},{3,5},{4,7},{6}}=>[[1,2,8],[3,5],[4,7],[6]] {{1,4,8},{2,5},{3,6},{7}}=>[[1,4,8],[2,5],[3,6],[7]] {{1,4,7},{2,6},{3,8},{5}}=>[[1,4,7],[2,6],[3,8],[5]] {{1,3,7},{2,6},{4,8},{5}}=>[[1,3,7],[2,6],[4,8],[5]] {{1,2,7},{3,6},{4,8},{5}}=>[[1,2,7],[3,6],[4,8],[5]] {{1,4,7},{2,5},{3,8},{6}}=>[[1,4,7],[2,5],[3,8],[6]] {{1,3,7},{2,5},{4,8},{6}}=>[[1,3,7],[2,5],[4,8],[6]] {{1,2,7},{3,5},{4,8},{6}}=>[[1,2,7],[3,5],[4,8],[6]] {{1,4,6},{2,7},{3,8},{5}}=>[[1,4,6],[2,7],[3,8],[5]] {{1,3,6},{2,7},{4,8},{5}}=>[[1,3,6],[2,7],[4,8],[5]] {{1,2,6},{3,7},{4,8},{5}}=>[[1,2,6],[3,7],[4,8],[5]] {{1,3,5},{2,7},{4,8},{6}}=>[[1,3,5],[2,7],[4,8],[6]] {{1,2,5},{3,7},{4,8},{6}}=>[[1,2,5],[3,7],[4,8],[6]] {{1,3,6},{2,5},{4,8},{7}}=>[[1,3,6],[2,5],[4,8],[7]] {{1,2,6},{3,5},{4,8},{7}}=>[[1,2,6],[3,5],[4,8],[7]] {{1,3,5},{2,6},{4,8},{7}}=>[[1,3,5],[2,6],[4,8],[7]] {{1,2,5},{3,6},{4,8},{7}}=>[[1,2,5],[3,6],[4,8],[7]] {{1,3,4},{2,6},{5,8},{7}}=>[[1,3,4],[2,6],[5,8],[7]] {{1,2,4},{3,6},{5,8},{7}}=>[[1,2,4],[3,6],[5,8],[7]] {{1,3,5},{2,4},{6,8},{7}}=>[[1,3,5],[2,4],[6,8],[7]] {{1,4,7},{2,5},{3,6},{8}}=>[[1,4,7],[2,5],[3,6],[8]] {{1,3,7},{2,5},{4,6},{8}}=>[[1,3,7],[2,5],[4,6],[8]] {{1,3,5,8},{2},{4,6},{7}}=>[[1,3,5,8],[2,6],[4],[7]] {{1,3,5,7},{2},{4},{6,8}}=>[[1,3,5,7],[2,8],[4],[6]] {{1,5,7},{2,4},{3},{6,8}}=>[[1,4,7],[2,5],[3,8],[6]] {{1,5},{2,4,8},{3},{6,7}}=>[[1,4,8],[2,5],[3,7],[6]] {{1,5,8},{2,4},{3,6},{7}}=>[[1,4,8],[2,5],[3,6],[7]] {{1,6,8},{2,4},{3,5},{7}}=>[[1,4,8],[2,5],[3,6],[7]] {{1},{2,3,5,8},{4,6},{7}}=>[[1,3,5,8],[2,6],[4],[7]] {{1,5,8},{2,6},{3,4},{7}}=>[[1,4,8],[2,5],[3,6],[7]] {{1,4,8},{2,6},{3,5},{7}}=>[[1,4,8],[2,5],[3,6],[7]] {{1,4},{2,5,8},{3},{6,7}}=>[[1,4,8],[2,5],[3,7],[6]] {{1,4,7},{2,5},{3},{6,8}}=>[[1,4,7],[2,5],[3,8],[6]] {{1,4},{2},{3,6,7},{5,8}}=>[[1,4,7],[2,6],[3,8],[5]] {{1,4},{2},{3,6},{5,7,8}}=>[[1,4,8],[2,6],[3,7],[5]] {{1,4},{2},{3,7},{5,6,8}}=>[[1,4,8],[2,6],[3,7],[5]] {{1,4},{2},{3,5,8},{6,7}}=>[[1,4,8],[2,5],[3,7],[6]] {{1,5},{2},{3,4,8},{6,7}}=>[[1,4,8],[2,5],[3,7],[6]] {{1,2,5},{3},{4,7,8},{6}}=>[[1,2,5],[3,7,8],[4],[6]] {{1,2,5,7},{3},{4,8},{6}}=>[[1,2,5,7],[3,8],[4],[6]] {{1},{2,3,5,7},{4},{6,8}}=>[[1,3,5,7],[2,8],[4],[6]] {{1,5,7},{2},{3,4},{6,8}}=>[[1,4,7],[2,5],[3,8],[6]] {{1,4,7},{2},{3,5},{6,8}}=>[[1,4,7],[2,5],[3,8],[6]] {{1,4},{2},{3,8},{5,6,7}}=>[[1,4,7],[2,6],[3,8],[5]] {{1,4,6},{2},{3,8},{5,7}}=>[[1,4,6],[2,7],[3,8],[5]] {{1,4,6},{2},{3,7},{5,8}}=>[[1,4,6],[2,7],[3,8],[5]] {{1},{2,6},{3,4,7},{5,8}}=>[[1,4,7],[2,6],[3,8],[5]] {{1,6},{2,3,7},{4},{5,8}}=>[[1,3,7],[2,6],[4,8],[5]] {{1,2},{3,6,7},{4,8},{5}}=>[[1,2,7],[3,6],[4,8],[5]] {{1,2},{3,6},{4,7,8},{5}}=>[[1,2,8],[3,6],[4,7],[5]] {{1,6},{2,3},{4},{5,7,8}}=>[[1,3,8],[2,6],[4,7],[5]] {{1},{2,6},{3,4},{5,7,8}}=>[[1,4,8],[2,6],[3,7],[5]] {{1},{2,7},{3,4},{5,6,8}}=>[[1,4,8],[2,6],[3,7],[5]] {{1,7},{2,3},{4},{5,6,8}}=>[[1,3,8],[2,6],[4,7],[5]] {{1,2},{3,7},{4,6,8},{5}}=>[[1,2,8],[3,6],[4,7],[5]] {{1,2},{3,5,8},{4,7},{6}}=>[[1,2,8],[3,5],[4,7],[6]] {{1,7},{2,3,8},{4,5},{6}}=>[[1,3,8],[2,5],[4,7],[6]] {{1},{2,5},{3,4,8},{6,7}}=>[[1,4,8],[2,5],[3,7],[6]] {{1},{2,4},{3,5,8},{6,7}}=>[[1,4,8],[2,5],[3,7],[6]] {{1},{2,4},{3,7},{5,6,8}}=>[[1,4,8],[2,6],[3,7],[5]] {{1},{2,4},{3,6},{5,7,8}}=>[[1,4,8],[2,6],[3,7],[5]] {{1},{2,4},{3,6,7},{5,8}}=>[[1,4,7],[2,6],[3,8],[5]] {{1,3},{2,6,7},{4},{5,8}}=>[[1,3,7],[2,6],[4,8],[5]] {{1,3},{2,6},{4},{5,7,8}}=>[[1,3,8],[2,6],[4,7],[5]] {{1,3},{2,7},{4},{5,6,8}}=>[[1,3,8],[2,6],[4,7],[5]] {{1,3},{2,7,8},{4,5},{6}}=>[[1,3,8],[2,5],[4,7],[6]] {{1,3,8},{2,4,7},{5},{6}}=>[[1,3,7],[2,4,8],[5],[6]] {{1,4,8},{2,3,7},{5},{6}}=>[[1,3,7],[2,4,8],[5],[6]] {{1,4,7},{2,3,8},{5},{6}}=>[[1,3,7],[2,4,8],[5],[6]] {{1,3,7},{2,8},{4,5},{6}}=>[[1,3,7],[2,5],[4,8],[6]] {{1,3},{2,8},{4},{5,6,7}}=>[[1,3,7],[2,6],[4,8],[5]] {{1,3,6},{2,8},{4},{5,7}}=>[[1,3,6],[2,7],[4,8],[5]] {{1,3,6},{2,7},{4},{5,8}}=>[[1,3,6],[2,7],[4,8],[5]] {{1},{2,4,6},{3,7},{5,8}}=>[[1,4,6],[2,7],[3,8],[5]] {{1},{2,4,6},{3,8},{5,7}}=>[[1,4,6],[2,7],[3,8],[5]] {{1},{2,4},{3,8},{5,6,7}}=>[[1,4,7],[2,6],[3,8],[5]] {{1},{2,4,7},{3,5},{6,8}}=>[[1,4,7],[2,5],[3,8],[6]] {{1},{2,5,7},{3,4},{6,8}}=>[[1,4,7],[2,5],[3,8],[6]] {{1},{2,8},{3,4,6},{5,7}}=>[[1,4,6],[2,7],[3,8],[5]] {{1,8},{2,3,6},{4},{5,7}}=>[[1,3,6],[2,7],[4,8],[5]] {{1,2,6},{3,8},{4,7},{5}}=>[[1,2,6],[3,7],[4,8],[5]] {{1,7},{2,3,6},{4},{5,8}}=>[[1,3,6],[2,7],[4,8],[5]] {{1},{2,7},{3,4,6},{5,8}}=>[[1,4,6],[2,7],[3,8],[5]] {{1,2},{3,6,8},{4,7},{5}}=>[[1,2,8],[3,6],[4,7],[5]] {{1,2},{3,5,7},{4,8},{6}}=>[[1,2,7],[3,5],[4,8],[6]] {{1,2},{3,7},{4,5,8},{6}}=>[[1,2,8],[3,5],[4,7],[6]] {{1,4,8},{2,7},{3},{5,6}}=>[[1,4,8],[2,6],[3,7],[5]] {{1,3,7},{2,8},{4},{5,6}}=>[[1,3,7],[2,6],[4,8],[5]] {{1,3,7},{2,8},{4,6},{5}}=>[[1,3,7],[2,6],[4,8],[5]] {{1,3,7},{2},{4,5,8},{6}}=>[[1,3,7],[2,5,8],[4],[6]] {{1,7},{2,3},{4,5,8},{6}}=>[[1,3,8],[2,5],[4,7],[6]] {{1,7},{2,3,8},{4,6},{5}}=>[[1,3,8],[2,6],[4,7],[5]] {{1,7},{2,3,8},{4},{5,6}}=>[[1,3,8],[2,6],[4,7],[5]] {{1,7,8},{2,5},{3,6},{4}}=>[[1,5,8],[2,6],[3,7],[4]] {{1,7},{2,4,6,8},{3},{5}}=>[[1,4,6,8],[2,7],[3],[5]] {{1,7},{2,4,5},{3,8},{6}}=>[[1,4,5],[2,7],[3,8],[6]] {{1,4,6},{2,5},{3},{7,8}}=>[[1,4,6],[2,5],[3,8],[7]] {{1,5,7,8},{2},{3,6},{4}}=>[[1,5,7,8],[2,6],[3],[4]] {{1,5,8},{2,7},{3,6},{4}}=>[[1,5,8],[2,6],[3,7],[4]] {{1,8},{2,5,7},{3,6},{4}}=>[[1,5,7],[2,6],[3,8],[4]] {{1,5,8},{2,6,7},{3},{4}}=>[[1,5,7],[2,6,8],[3],[4]] {{1,4,5,7},{2},{3,8},{6}}=>[[1,4,5,7],[2,8],[3],[6]] {{1,3,5},{2,6},{4},{7,8}}=>[[1,3,5],[2,6],[4,8],[7]] {{1,3,6},{2,8},{4,7},{5}}=>[[1,3,6],[2,7],[4,8],[5]] {{1,4,6,8},{2},{3,7},{5}}=>[[1,4,6,8],[2,7],[3],[5]] {{1,8},{2,4,6},{3,7},{5}}=>[[1,4,6],[2,7],[3,8],[5]] {{1,4,8},{2,5},{3},{6,7}}=>[[1,4,8],[2,5],[3,7],[6]] {{1,3,5},{2,8},{4},{6,7}}=>[[1,3,5],[2,7],[4,8],[6]] {{1,5},{2,3,8},{4},{6,7}}=>[[1,3,8],[2,5],[4,7],[6]] {{1,8},{2,6},{3,4,7},{5}}=>[[1,4,7],[2,6],[3,8],[5]] {{1,6,8},{2},{3,4,7},{5}}=>[[1,4,7],[2,6,8],[3],[5]] {{1,6,8},{2,4},{3,7},{5}}=>[[1,4,8],[2,6],[3,7],[5]] {{1,6},{2,3,8},{4,7},{5}}=>[[1,3,8],[2,6],[4,7],[5]] {{1,6},{2,3,7,8},{4},{5}}=>[[1,3,7,8],[2,6],[4],[5]] {{1,5},{2,3,7},{4,8},{6}}=>[[1,3,7],[2,5],[4,8],[6]] {{1,5},{2,3,6},{4},{7,8}}=>[[1,3,6],[2,5],[4,8],[7]] {{1,5,7},{2,4},{3,8},{6}}=>[[1,4,7],[2,5],[3,8],[6]] {{1,6,7},{2,4,8},{3},{5}}=>[[1,4,7],[2,6,8],[3],[5]] {{1,6,8},{2,5,7},{3},{4}}=>[[1,5,7],[2,6,8],[3],[4]] {{1,6,8},{2,7},{3,5},{4}}=>[[1,5,8],[2,6],[3,7],[4]] {{1,6,8},{2,7},{3},{4,5}}=>[[1,5,8],[2,6],[3,7],[4]] {{1,6,7},{2,8},{3,4},{5}}=>[[1,4,7],[2,6],[3,8],[5]] {{1,5,7},{2},{3,4,8},{6}}=>[[1,4,7],[2,5,8],[3],[6]] {{1,7},{2,5},{3,4,8},{6}}=>[[1,4,8],[2,5],[3,7],[6]] {{1,7},{2,6,8},{3,4},{5}}=>[[1,4,8],[2,6],[3,7],[5]] {{1,4,8},{2,3,6},{5},{7}}=>[[1,3,6],[2,4,8],[5],[7]] {{1,5},{2,4,8},{3,7},{6}}=>[[1,4,8],[2,5],[3,7],[6]] {{1,5},{2,4,7},{3,8},{6}}=>[[1,4,7],[2,5],[3,8],[6]] {{1,5},{2,4,8},{3,6},{7}}=>[[1,4,8],[2,5],[3,6],[7]] {{1,6},{2,4,8},{3,5},{7}}=>[[1,4,8],[2,5],[3,6],[7]] {{1,6},{2,5},{3,4,8},{7}}=>[[1,4,8],[2,5],[3,6],[7]] {{1,6},{2,3,5},{4,8},{7}}=>[[1,3,5],[2,6],[4,8],[7]] {{1,5},{2,3,6},{4,8},{7}}=>[[1,3,6],[2,5],[4,8],[7]] {{1,5},{2,6},{3,4,8},{7}}=>[[1,4,8],[2,5],[3,6],[7]] {{1,4,8},{2,7},{3,6},{5}}=>[[1,4,8],[2,6],[3,7],[5]] {{1,4,7},{2,8},{3,6},{5}}=>[[1,4,7],[2,6],[3,8],[5]] {{1,4,6},{2,8},{3,7},{5}}=>[[1,4,6],[2,7],[3,8],[5]] {{1,4,7},{2,8},{3,5},{6}}=>[[1,4,7],[2,5],[3,8],[6]] {{1,5},{2,8},{3,4,7},{6}}=>[[1,4,7],[2,5],[3,8],[6]] {{1,5},{2,3,8},{4,7},{6}}=>[[1,3,8],[2,5],[4,7],[6]] {{1,2,5},{3,8},{4,7},{6}}=>[[1,2,5],[3,7],[4,8],[6]] {{1,5},{2,7},{3,4,8},{6}}=>[[1,4,8],[2,5],[3,7],[6]] {{1,4,8},{2,7},{3,5},{6}}=>[[1,4,8],[2,5],[3,7],[6]] {{1,7},{2,6},{3,4,8},{5}}=>[[1,4,8],[2,6],[3,7],[5]] {{1,7},{2,3,6},{4,8},{5}}=>[[1,3,6],[2,7],[4,8],[5]] {{1,8},{2,3,6},{4,7},{5}}=>[[1,3,6],[2,7],[4,8],[5]] {{1,8},{2,3,5},{4,7},{6}}=>[[1,3,5],[2,7],[4,8],[6]] {{1,8},{2,5},{3,4,7},{6}}=>[[1,4,7],[2,5],[3,8],[6]] {{1,8},{2,4,7},{3,5},{6}}=>[[1,4,7],[2,5],[3,8],[6]] {{1,8},{2,4,7},{3,6},{5}}=>[[1,4,7],[2,6],[3,8],[5]] {{1,7},{2,4,8},{3,6},{5}}=>[[1,4,8],[2,6],[3,7],[5]] {{1,3,5},{2,8},{4,7},{6}}=>[[1,3,5],[2,7],[4,8],[6]] {{1,3,8},{2,7},{4,6},{5}}=>[[1,3,8],[2,6],[4,7],[5]] {{1,6},{2,4,8},{3,7},{5}}=>[[1,4,8],[2,6],[3,7],[5]] {{1,6},{2,4,7},{3,8},{5}}=>[[1,4,7],[2,6],[3,8],[5]] {{1,7},{2,4,6},{3,8},{5}}=>[[1,4,6],[2,7],[3,8],[5]] {{1,7},{2,4,8},{3,5},{6}}=>[[1,4,8],[2,5],[3,7],[6]] {{1,7},{2,3,5},{4,8},{6}}=>[[1,3,5],[2,7],[4,8],[6]] {{1,2,7},{3,8},{4,6},{5}}=>[[1,2,7],[3,6],[4,8],[5]] {{1,7},{2,8},{3,4,6},{5}}=>[[1,4,6],[2,7],[3,8],[5]] {{1,6},{2,8},{3,4,7},{5}}=>[[1,4,7],[2,6],[3,8],[5]] {{1,6},{2,3,7},{4,8},{5}}=>[[1,3,7],[2,6],[4,8],[5]] {{1,6},{2,7},{3,4,8},{5}}=>[[1,4,8],[2,6],[3,7],[5]] {{1,3,5},{2},{4,6,8},{7}}=>[[1,3,5],[2,6,8],[4],[7]] {{1,3},{2,4,6,8},{5},{7}}=>[[1,3,6,8],[2,4],[5],[7]] {{1},{2,4,6,8},{3},{5,7}}=>[[1,4,6,8],[2,7],[3],[5]] {{1,3},{2},{4,6,8},{5,7}}=>[[1,3,8],[2,6],[4,7],[5]] {{1,3,6},{2},{4,8},{5,7}}=>[[1,3,6],[2,7],[4,8],[5]] {{1,3,6},{2},{4,7},{5,8}}=>[[1,3,6],[2,7],[4,8],[5]] {{1,3,5},{2},{4,7},{6,8}}=>[[1,3,5],[2,7],[4,8],[6]] {{1,3,5,7},{2},{4,6},{8}}=>[[1,3,5,7],[2,6],[4],[8]] {{1,3,7},{2},{4,6,8},{5}}=>[[1,3,7],[2,6,8],[4],[5]] {{1,3,7},{2},{4,6},{5,8}}=>[[1,3,7],[2,6],[4,8],[5]] {{1,3,5,7},{2},{4,8},{6}}=>[[1,3,5,7],[2,8],[4],[6]] {{1,3},{2,4,8},{5,7},{6}}=>[[1,3,8],[2,4],[5,7],[6]] {{1},{2,4,8},{3,5,7},{6}}=>[[1,4,7],[2,5,8],[3],[6]] {{1,4},{2,8},{3,5,7},{6}}=>[[1,4,7],[2,5],[3,8],[6]] {{1,4},{2,5,7},{3,8},{6}}=>[[1,4,7],[2,5],[3,8],[6]] {{1,3},{2,5,7},{4,8},{6}}=>[[1,3,7],[2,5],[4,8],[6]] {{1,3},{2,7},{4,6,8},{5}}=>[[1,3,8],[2,6],[4,7],[5]] {{1,3,7},{2,4,6},{5},{8}}=>[[1,3,6],[2,4,7],[5],[8]] {{1,7},{2,4,6},{3},{5,8}}=>[[1,4,6],[2,7],[3,8],[5]] {{1,5,7},{2,4,8},{3},{6}}=>[[1,4,7],[2,5,8],[3],[6]] {{1},{2,8},{3,5,7},{4,6}}=>[[1,5,7],[2,6],[3,8],[4]] {{1,7},{2,4,6},{3,5},{8}}=>[[1,4,6],[2,5],[3,7],[8]] {{1,4,7},{2,6},{3,5},{8}}=>[[1,4,7],[2,5],[3,6],[8]] {{1},{2,5,8},{3,7},{4,6}}=>[[1,5,8],[2,6],[3,7],[4]] {{1},{2,5,8},{3,6},{4,7}}=>[[1,5,8],[2,6],[3,7],[4]] {{1},{2,4,8},{3,6},{5,7}}=>[[1,4,8],[2,6],[3,7],[5]] {{1},{2,4,6,8},{3,5},{7}}=>[[1,4,6,8],[2,5],[3],[7]] {{1,4},{2,6,8},{3,5},{7}}=>[[1,4,8],[2,5],[3,6],[7]] {{1,4},{2,5},{3,6,8},{7}}=>[[1,4,8],[2,5],[3,6],[7]] {{1,3},{2,5},{4,6,8},{7}}=>[[1,3,8],[2,5],[4,6],[7]] {{1,5},{2,4,6,8},{3},{7}}=>[[1,4,6,8],[2,5],[3],[7]] {{1,5},{2,4},{3,6,8},{7}}=>[[1,4,8],[2,5],[3,6],[7]] {{1},{2,6,8},{3,5,7},{4}}=>[[1,5,7],[2,6,8],[3],[4]] {{1,6},{2,8},{3,5,7},{4}}=>[[1,5,7],[2,6],[3,8],[4]] {{1,6},{2,4,8},{3},{5,7}}=>[[1,4,8],[2,6],[3,7],[5]] {{1,6},{2,4,7},{3},{5,8}}=>[[1,4,7],[2,6],[3,8],[5]] {{1,5},{2,4,7},{3},{6,8}}=>[[1,4,7],[2,5],[3,8],[6]] {{1,5,7},{2,4,6},{3},{8}}=>[[1,4,6],[2,5,7],[3],[8]] {{1,5,7},{2,4},{3,6},{8}}=>[[1,4,7],[2,5],[3,6],[8]] {{1},{2,6,8},{3,5},{4,7}}=>[[1,5,8],[2,6],[3,7],[4]] {{1},{2,4,6,8},{3,7},{5}}=>[[1,4,6,8],[2,7],[3],[5]] {{1,6},{2,7},{3,5,8},{4}}=>[[1,5,8],[2,6],[3,7],[4]] {{1,3,5},{2,7},{4},{6,8}}=>[[1,3,5],[2,7],[4,8],[6]] {{1,7},{2,6,8},{3,5},{4}}=>[[1,5,8],[2,6],[3,7],[4]] {{1,7},{2,6},{3,5,8},{4}}=>[[1,5,8],[2,6],[3,7],[4]] {{1,2},{3,4,6},{5,8},{7}}=>[[1,2,6],[3,4],[5,8],[7]] {{1,2},{3,6},{4,5,8},{7}}=>[[1,2,8],[3,5],[4,6],[7]] {{1,2},{3,5,6},{4,8},{7}}=>[[1,2,6],[3,5],[4,8],[7]] {{1,2,5,6},{3},{4,8},{7}}=>[[1,2,5,6],[3,8],[4],[7]] {{1,2,6},{3},{4,5,8},{7}}=>[[1,2,6],[3,5,8],[4],[7]] {{1,6},{2,3},{4,5,8},{7}}=>[[1,3,8],[2,5],[4,6],[7]] {{1,5,6},{2,3},{4,8},{7}}=>[[1,3,6],[2,5],[4,8],[7]] {{1,5,6},{2,3,8},{4},{7}}=>[[1,3,6],[2,5,8],[4],[7]] {{1,5,6},{2,8},{3,4},{7}}=>[[1,4,6],[2,5],[3,8],[7]] {{1,5},{2,8},{3,4,6},{7}}=>[[1,4,6],[2,5],[3,8],[7]] {{1,5},{2,3,8},{4,6},{7}}=>[[1,3,8],[2,5],[4,6],[7]] {{1,6},{2,3,5,8},{4},{7}}=>[[1,3,5,8],[2,6],[4],[7]] {{1,2,5},{3,8},{4,6},{7}}=>[[1,2,5],[3,6],[4,8],[7]] {{1,2,4},{3,6},{5},{7,8}}=>[[1,2,4],[3,6],[5,8],[7]] {{1,2,4,6},{3},{5,8},{7}}=>[[1,2,4,6],[3,8],[5],[7]] {{1,2,4},{3,8},{5,7},{6}}=>[[1,2,4],[3,7],[5,8],[6]] {{1,2,4},{3,8},{5},{6,7}}=>[[1,2,4],[3,7],[5,8],[6]] {{1,4},{2,3,8},{5},{6,7}}=>[[1,3,8],[2,4],[5,7],[6]] {{1,3,4},{2,8},{5},{6,7}}=>[[1,3,4],[2,7],[5,8],[6]] {{1,3,4},{2,8},{5,7},{6}}=>[[1,3,4],[2,7],[5,8],[6]] {{1,4},{2,3,8},{5,7},{6}}=>[[1,3,8],[2,4],[5,7],[6]] {{1,4,6},{2,3},{5,8},{7}}=>[[1,3,6],[2,4],[5,8],[7]] {{1,4},{2,3,6},{5},{7,8}}=>[[1,3,6],[2,4],[5,8],[7]] {{1,4},{2,3,6,8},{5},{7}}=>[[1,3,6,8],[2,4],[5],[7]] {{1,4},{2,3,6},{5,8},{7}}=>[[1,3,6],[2,4],[5,8],[7]] {{1,8},{2,4,5},{3,7},{6}}=>[[1,4,5],[2,7],[3,8],[6]] {{1,3,8},{2,6},{4,5},{7}}=>[[1,3,8],[2,5],[4,6],[7]] {{1,3,4},{2,6},{5},{7,8}}=>[[1,3,4],[2,6],[5,8],[7]] {{1,6},{2,5,8},{3,4},{7}}=>[[1,4,8],[2,5],[3,6],[7]] {{1,6},{2,4,5},{3,8},{7}}=>[[1,4,5],[2,6],[3,8],[7]] {{1,4,5},{2,8},{3,6},{7}}=>[[1,4,5],[2,6],[3,8],[7]]
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Description
Sends a set partition to the associated standard tableau.
The $j$th column of the standard tableau associated to a set partition is the set of $j$th smallest elements of its blocks arranged in increassing order.
References
[1] Prasad, A., Ram, S. Set partitions, tableaux, and subspace profiles under regular split semisimple matrices arXiv:2112.00479
Properties
surjective
Sage code
def mapping(x):
    """
    Return the standard tableau associated to a set partition.
    
    EXAMPLE::

    sage: mapping([[1, 2], [3, 6, 7], [4, 5]])
    [[1, 2, 7], [3, 5], [4, 6]]
    """
    A = [sorted(a) for a in x]
    m = max(len(a) for a in A)
    if m==1:
        return Tableau(sorted(a for a in A))
    else:
        last_row = sorted(a[-1] for a in A if len(a)==m)
        l = len(last_row)
        AA = [a[:m-1] for a in A]
        TT = mapping(AA)
        T = []
        for i,r in enumerate(TT):
            if i
Weight
51
Created
Jul 20, 2022 at 16:52 by Amritanshu Prasad
Updated
Jul 20, 2022 at 16:52 by Amritanshu Prasad