Identifier
Mp00258: Set partitions Standard tableau associated to a set partitionStandard tableaux
Mp00081: Standard tableaux reading word permutationPermutations
Mp00071: Permutations descent compositionInteger compositions
Images
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Cc0009;cc-rep-0Cc0007;cc-rep-1
{{1}}=>[[1]]=>[1]=>[1] {{1,2}}=>[[1,2]]=>[1,2]=>[2] {{1},{2}}=>[[1],[2]]=>[2,1]=>[1,1] {{1,2,3}}=>[[1,2,3]]=>[1,2,3]=>[3] {{1,2},{3}}=>[[1,2],[3]]=>[3,1,2]=>[1,2] {{1,3},{2}}=>[[1,3],[2]]=>[2,1,3]=>[1,2] {{1},{2,3}}=>[[1,3],[2]]=>[2,1,3]=>[1,2] {{1},{2},{3}}=>[[1],[2],[3]]=>[3,2,1]=>[1,1,1] {{1,2,3,4}}=>[[1,2,3,4]]=>[1,2,3,4]=>[4] {{1,2,3},{4}}=>[[1,2,3],[4]]=>[4,1,2,3]=>[1,3] {{1,2,4},{3}}=>[[1,2,4],[3]]=>[3,1,2,4]=>[1,3] {{1,2},{3,4}}=>[[1,2],[3,4]]=>[3,4,1,2]=>[2,2] {{1,2},{3},{4}}=>[[1,2],[3],[4]]=>[4,3,1,2]=>[1,1,2] {{1,3,4},{2}}=>[[1,3,4],[2]]=>[2,1,3,4]=>[1,3] {{1,3},{2,4}}=>[[1,3],[2,4]]=>[2,4,1,3]=>[2,2] {{1,3},{2},{4}}=>[[1,3],[2],[4]]=>[4,2,1,3]=>[1,1,2] {{1,4},{2,3}}=>[[1,3],[2,4]]=>[2,4,1,3]=>[2,2] {{1},{2,3,4}}=>[[1,3,4],[2]]=>[2,1,3,4]=>[1,3] {{1},{2,3},{4}}=>[[1,3],[2],[4]]=>[4,2,1,3]=>[1,1,2] {{1,4},{2},{3}}=>[[1,4],[2],[3]]=>[3,2,1,4]=>[1,1,2] {{1},{2,4},{3}}=>[[1,4],[2],[3]]=>[3,2,1,4]=>[1,1,2] {{1},{2},{3,4}}=>[[1,4],[2],[3]]=>[3,2,1,4]=>[1,1,2] {{1},{2},{3},{4}}=>[[1],[2],[3],[4]]=>[4,3,2,1]=>[1,1,1,1] {{1,2,3,4,5}}=>[[1,2,3,4,5]]=>[1,2,3,4,5]=>[5] {{1,2,3,4},{5}}=>[[1,2,3,4],[5]]=>[5,1,2,3,4]=>[1,4] {{1,2,3,5},{4}}=>[[1,2,3,5],[4]]=>[4,1,2,3,5]=>[1,4] {{1,2,3},{4,5}}=>[[1,2,3],[4,5]]=>[4,5,1,2,3]=>[2,3] {{1,2,3},{4},{5}}=>[[1,2,3],[4],[5]]=>[5,4,1,2,3]=>[1,1,3] {{1,2,4,5},{3}}=>[[1,2,4,5],[3]]=>[3,1,2,4,5]=>[1,4] {{1,2,4},{3,5}}=>[[1,2,4],[3,5]]=>[3,5,1,2,4]=>[2,3] {{1,2,4},{3},{5}}=>[[1,2,4],[3],[5]]=>[5,3,1,2,4]=>[1,1,3] {{1,2,5},{3,4}}=>[[1,2,5],[3,4]]=>[3,4,1,2,5]=>[2,3] {{1,2},{3,4,5}}=>[[1,2,5],[3,4]]=>[3,4,1,2,5]=>[2,3] {{1,2},{3,4},{5}}=>[[1,2],[3,4],[5]]=>[5,3,4,1,2]=>[1,2,2] {{1,2,5},{3},{4}}=>[[1,2,5],[3],[4]]=>[4,3,1,2,5]=>[1,1,3] {{1,2},{3,5},{4}}=>[[1,2],[3,5],[4]]=>[4,3,5,1,2]=>[1,2,2] {{1,2},{3},{4,5}}=>[[1,2],[3,5],[4]]=>[4,3,5,1,2]=>[1,2,2] {{1,2},{3},{4},{5}}=>[[1,2],[3],[4],[5]]=>[5,4,3,1,2]=>[1,1,1,2] {{1,3,4,5},{2}}=>[[1,3,4,5],[2]]=>[2,1,3,4,5]=>[1,4] {{1,3,4},{2,5}}=>[[1,3,4],[2,5]]=>[2,5,1,3,4]=>[2,3] {{1,3,4},{2},{5}}=>[[1,3,4],[2],[5]]=>[5,2,1,3,4]=>[1,1,3] {{1,3,5},{2,4}}=>[[1,3,5],[2,4]]=>[2,4,1,3,5]=>[2,3] {{1,3},{2,4,5}}=>[[1,3,5],[2,4]]=>[2,4,1,3,5]=>[2,3] {{1,3},{2,4},{5}}=>[[1,3],[2,4],[5]]=>[5,2,4,1,3]=>[1,2,2] {{1,3,5},{2},{4}}=>[[1,3,5],[2],[4]]=>[4,2,1,3,5]=>[1,1,3] {{1,3},{2,5},{4}}=>[[1,3],[2,5],[4]]=>[4,2,5,1,3]=>[1,2,2] {{1,3},{2},{4,5}}=>[[1,3],[2,5],[4]]=>[4,2,5,1,3]=>[1,2,2] {{1,3},{2},{4},{5}}=>[[1,3],[2],[4],[5]]=>[5,4,2,1,3]=>[1,1,1,2] {{1,4,5},{2,3}}=>[[1,3,5],[2,4]]=>[2,4,1,3,5]=>[2,3] {{1,4},{2,3,5}}=>[[1,3,5],[2,4]]=>[2,4,1,3,5]=>[2,3] {{1,4},{2,3},{5}}=>[[1,3],[2,4],[5]]=>[5,2,4,1,3]=>[1,2,2] {{1,5},{2,3,4}}=>[[1,3,4],[2,5]]=>[2,5,1,3,4]=>[2,3] {{1},{2,3,4,5}}=>[[1,3,4,5],[2]]=>[2,1,3,4,5]=>[1,4] {{1},{2,3,4},{5}}=>[[1,3,4],[2],[5]]=>[5,2,1,3,4]=>[1,1,3] {{1,5},{2,3},{4}}=>[[1,3],[2,5],[4]]=>[4,2,5,1,3]=>[1,2,2] {{1},{2,3,5},{4}}=>[[1,3,5],[2],[4]]=>[4,2,1,3,5]=>[1,1,3] {{1},{2,3},{4,5}}=>[[1,3],[2,5],[4]]=>[4,2,5,1,3]=>[1,2,2] {{1},{2,3},{4},{5}}=>[[1,3],[2],[4],[5]]=>[5,4,2,1,3]=>[1,1,1,2] {{1,4,5},{2},{3}}=>[[1,4,5],[2],[3]]=>[3,2,1,4,5]=>[1,1,3] {{1,4},{2,5},{3}}=>[[1,4],[2,5],[3]]=>[3,2,5,1,4]=>[1,2,2] {{1,4},{2},{3,5}}=>[[1,4],[2,5],[3]]=>[3,2,5,1,4]=>[1,2,2] {{1,4},{2},{3},{5}}=>[[1,4],[2],[3],[5]]=>[5,3,2,1,4]=>[1,1,1,2] {{1,5},{2,4},{3}}=>[[1,4],[2,5],[3]]=>[3,2,5,1,4]=>[1,2,2] {{1},{2,4,5},{3}}=>[[1,4,5],[2],[3]]=>[3,2,1,4,5]=>[1,1,3] {{1},{2,4},{3,5}}=>[[1,4],[2,5],[3]]=>[3,2,5,1,4]=>[1,2,2] {{1},{2,4},{3},{5}}=>[[1,4],[2],[3],[5]]=>[5,3,2,1,4]=>[1,1,1,2] {{1,5},{2},{3,4}}=>[[1,4],[2,5],[3]]=>[3,2,5,1,4]=>[1,2,2] {{1},{2,5},{3,4}}=>[[1,4],[2,5],[3]]=>[3,2,5,1,4]=>[1,2,2] {{1},{2},{3,4,5}}=>[[1,4,5],[2],[3]]=>[3,2,1,4,5]=>[1,1,3] {{1},{2},{3,4},{5}}=>[[1,4],[2],[3],[5]]=>[5,3,2,1,4]=>[1,1,1,2] {{1,5},{2},{3},{4}}=>[[1,5],[2],[3],[4]]=>[4,3,2,1,5]=>[1,1,1,2] {{1},{2,5},{3},{4}}=>[[1,5],[2],[3],[4]]=>[4,3,2,1,5]=>[1,1,1,2] {{1},{2},{3,5},{4}}=>[[1,5],[2],[3],[4]]=>[4,3,2,1,5]=>[1,1,1,2] {{1},{2},{3},{4,5}}=>[[1,5],[2],[3],[4]]=>[4,3,2,1,5]=>[1,1,1,2] {{1},{2},{3},{4},{5}}=>[[1],[2],[3],[4],[5]]=>[5,4,3,2,1]=>[1,1,1,1,1] {{1,2,3,4,5,6}}=>[[1,2,3,4,5,6]]=>[1,2,3,4,5,6]=>[6] {{1,2,3,4,5},{6}}=>[[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>[1,5] {{1,2,3,4,6},{5}}=>[[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>[1,5] {{1,2,3,4},{5,6}}=>[[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>[2,4] {{1,2,3,4},{5},{6}}=>[[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>[1,1,4] {{1,2,3,5,6},{4}}=>[[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>[1,5] {{1,2,3,5},{4,6}}=>[[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>[2,4] {{1,2,3,5},{4},{6}}=>[[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>[1,1,4] {{1,2,3,6},{4,5}}=>[[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>[2,4] {{1,2,3},{4,5,6}}=>[[1,2,3],[4,5,6]]=>[4,5,6,1,2,3]=>[3,3] {{1,2,3},{4,5},{6}}=>[[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>[1,2,3] {{1,2,3,6},{4},{5}}=>[[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>[1,1,4] {{1,2,3},{4,6},{5}}=>[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>[1,2,3] {{1,2,3},{4},{5,6}}=>[[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>[1,2,3] {{1,2,3},{4},{5},{6}}=>[[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>[1,1,1,3] {{1,2,4,5,6},{3}}=>[[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>[1,5] {{1,2,4,5},{3,6}}=>[[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>[2,4] {{1,2,4,5},{3},{6}}=>[[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>[1,1,4] {{1,2,4,6},{3,5}}=>[[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>[2,4] {{1,2,4},{3,5,6}}=>[[1,2,4],[3,5,6]]=>[3,5,6,1,2,4]=>[3,3] {{1,2,4},{3,5},{6}}=>[[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>[1,2,3] {{1,2,4,6},{3},{5}}=>[[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>[1,1,4] {{1,2,4},{3,6},{5}}=>[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>[1,2,3] {{1,2,4},{3},{5,6}}=>[[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>[1,2,3] {{1,2,4},{3},{5},{6}}=>[[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>[1,1,1,3] {{1,2,5,6},{3,4}}=>[[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>[2,4] {{1,2,5},{3,4,6}}=>[[1,2,5],[3,4,6]]=>[3,4,6,1,2,5]=>[3,3] {{1,2,5},{3,4},{6}}=>[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>[1,2,3] {{1,2,6},{3,4,5}}=>[[1,2,5],[3,4,6]]=>[3,4,6,1,2,5]=>[3,3] {{1,2},{3,4,5,6}}=>[[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>[2,4] {{1,2},{3,4,5},{6}}=>[[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>[1,2,3] {{1,2,6},{3,4},{5}}=>[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>[1,2,3] {{1,2},{3,4,6},{5}}=>[[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>[1,2,3] {{1,2},{3,4},{5,6}}=>[[1,2],[3,4],[5,6]]=>[5,6,3,4,1,2]=>[2,2,2] {{1,2},{3,4},{5},{6}}=>[[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>[1,1,2,2] {{1,2,5,6},{3},{4}}=>[[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>[1,1,4] {{1,2,5},{3,6},{4}}=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>[1,2,3] {{1,2,5},{3},{4,6}}=>[[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>[1,2,3] {{1,2,5},{3},{4},{6}}=>[[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>[1,1,1,3] {{1,2,6},{3,5},{4}}=>[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>[1,2,3] {{1,2},{3,5,6},{4}}=>[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>[1,2,3] {{1,2},{3,5},{4,6}}=>[[1,2],[3,5],[4,6]]=>[4,6,3,5,1,2]=>[2,2,2] {{1,2},{3,5},{4},{6}}=>[[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>[1,1,2,2] {{1,2,6},{3},{4,5}}=>[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>[1,2,3] {{1,2},{3,6},{4,5}}=>[[1,2],[3,5],[4,6]]=>[4,6,3,5,1,2]=>[2,2,2] {{1,2},{3},{4,5,6}}=>[[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>[1,2,3] {{1,2},{3},{4,5},{6}}=>[[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>[1,1,2,2] {{1,2,6},{3},{4},{5}}=>[[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>[1,1,1,3] {{1,2},{3,6},{4},{5}}=>[[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>[1,1,2,2] {{1,2},{3},{4,6},{5}}=>[[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>[1,1,2,2] {{1,2},{3},{4},{5,6}}=>[[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>[1,1,2,2] {{1,2},{3},{4},{5},{6}}=>[[1,2],[3],[4],[5],[6]]=>[6,5,4,3,1,2]=>[1,1,1,1,2] {{1,3,4,5,6},{2}}=>[[1,3,4,5,6],[2]]=>[2,1,3,4,5,6]=>[1,5] {{1,3,4,5},{2,6}}=>[[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>[2,4] {{1,3,4,5},{2},{6}}=>[[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>[1,1,4] {{1,3,4,6},{2,5}}=>[[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>[2,4] {{1,3,4},{2,5,6}}=>[[1,3,4],[2,5,6]]=>[2,5,6,1,3,4]=>[3,3] {{1,3,4},{2,5},{6}}=>[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>[1,2,3] {{1,3,4,6},{2},{5}}=>[[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>[1,1,4] {{1,3,4},{2,6},{5}}=>[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>[1,2,3] {{1,3,4},{2},{5,6}}=>[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>[1,2,3] {{1,3,4},{2},{5},{6}}=>[[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>[1,1,1,3] {{1,3,5,6},{2,4}}=>[[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>[2,4] {{1,3,5},{2,4,6}}=>[[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>[3,3] {{1,3,5},{2,4},{6}}=>[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>[1,2,3] {{1,3,6},{2,4,5}}=>[[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>[3,3] {{1,3},{2,4,5,6}}=>[[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>[2,4] {{1,3},{2,4,5},{6}}=>[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>[1,2,3] {{1,3,6},{2,4},{5}}=>[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>[1,2,3] {{1,3},{2,4,6},{5}}=>[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>[1,2,3] {{1,3},{2,4},{5,6}}=>[[1,3],[2,4],[5,6]]=>[5,6,2,4,1,3]=>[2,2,2] {{1,3},{2,4},{5},{6}}=>[[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>[1,1,2,2] {{1,3,5,6},{2},{4}}=>[[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>[1,1,4] {{1,3,5},{2,6},{4}}=>[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>[1,2,3] {{1,3,5},{2},{4,6}}=>[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>[1,2,3] {{1,3,5},{2},{4},{6}}=>[[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>[1,1,1,3] {{1,3,6},{2,5},{4}}=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>[1,2,3] {{1,3},{2,5,6},{4}}=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>[1,2,3] {{1,3},{2,5},{4,6}}=>[[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>[2,2,2] {{1,3},{2,5},{4},{6}}=>[[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>[1,1,2,2] {{1,3,6},{2},{4,5}}=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>[1,2,3] {{1,3},{2,6},{4,5}}=>[[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>[2,2,2] {{1,3},{2},{4,5,6}}=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>[1,2,3] {{1,3},{2},{4,5},{6}}=>[[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>[1,1,2,2] {{1,3,6},{2},{4},{5}}=>[[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>[1,1,1,3] {{1,3},{2,6},{4},{5}}=>[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>[1,1,2,2] {{1,3},{2},{4,6},{5}}=>[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>[1,1,2,2] {{1,3},{2},{4},{5,6}}=>[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>[1,1,2,2] {{1,3},{2},{4},{5},{6}}=>[[1,3],[2],[4],[5],[6]]=>[6,5,4,2,1,3]=>[1,1,1,1,2] {{1,4,5,6},{2,3}}=>[[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>[2,4] {{1,4,5},{2,3,6}}=>[[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>[3,3] {{1,4,5},{2,3},{6}}=>[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>[1,2,3] {{1,4,6},{2,3,5}}=>[[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>[3,3] {{1,4},{2,3,5,6}}=>[[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>[2,4] {{1,4},{2,3,5},{6}}=>[[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>[1,2,3] {{1,4,6},{2,3},{5}}=>[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>[1,2,3] {{1,4},{2,3,6},{5}}=>[[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>[1,2,3] {{1,4},{2,3},{5,6}}=>[[1,3],[2,4],[5,6]]=>[5,6,2,4,1,3]=>[2,2,2] {{1,4},{2,3},{5},{6}}=>[[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>[1,1,2,2] {{1,5,6},{2,3,4}}=>[[1,3,4],[2,5,6]]=>[2,5,6,1,3,4]=>[3,3] {{1,5},{2,3,4,6}}=>[[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>[2,4] {{1,5},{2,3,4},{6}}=>[[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>[1,2,3] {{1,6},{2,3,4,5}}=>[[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>[2,4] {{1},{2,3,4,5,6}}=>[[1,3,4,5,6],[2]]=>[2,1,3,4,5,6]=>[1,5] {{1},{2,3,4,5},{6}}=>[[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>[1,1,4] {{1,6},{2,3,4},{5}}=>[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>[1,2,3] {{1},{2,3,4,6},{5}}=>[[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>[1,1,4] {{1},{2,3,4},{5,6}}=>[[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>[1,2,3] {{1},{2,3,4},{5},{6}}=>[[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>[1,1,1,3] {{1,5,6},{2,3},{4}}=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>[1,2,3] {{1,5},{2,3,6},{4}}=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>[1,2,3] {{1,5},{2,3},{4,6}}=>[[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>[2,2,2] {{1,5},{2,3},{4},{6}}=>[[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>[1,1,2,2] {{1,6},{2,3,5},{4}}=>[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>[1,2,3] {{1},{2,3,5,6},{4}}=>[[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>[1,1,4] {{1},{2,3,5},{4,6}}=>[[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>[1,2,3] {{1},{2,3,5},{4},{6}}=>[[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>[1,1,1,3] {{1,6},{2,3},{4,5}}=>[[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>[2,2,2] {{1},{2,3,6},{4,5}}=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>[1,2,3] {{1},{2,3},{4,5,6}}=>[[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>[1,2,3] {{1},{2,3},{4,5},{6}}=>[[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>[1,1,2,2] {{1,6},{2,3},{4},{5}}=>[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>[1,1,2,2] {{1},{2,3,6},{4},{5}}=>[[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>[1,1,1,3] {{1},{2,3},{4,6},{5}}=>[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>[1,1,2,2] {{1},{2,3},{4},{5,6}}=>[[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>[1,1,2,2] {{1},{2,3},{4},{5},{6}}=>[[1,3],[2],[4],[5],[6]]=>[6,5,4,2,1,3]=>[1,1,1,1,2] {{1,4,5,6},{2},{3}}=>[[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>[1,1,4] {{1,4,5},{2,6},{3}}=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>[1,2,3] {{1,4,5},{2},{3,6}}=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>[1,2,3] {{1,4,5},{2},{3},{6}}=>[[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>[1,1,1,3] {{1,4,6},{2,5},{3}}=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[1,2,3] {{1,4},{2,5,6},{3}}=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[1,2,3] {{1,4},{2,5},{3,6}}=>[[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>[2,2,2] {{1,4},{2,5},{3},{6}}=>[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>[1,1,2,2] {{1,4,6},{2},{3,5}}=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[1,2,3] {{1,4},{2,6},{3,5}}=>[[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>[2,2,2] {{1,4},{2},{3,5,6}}=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[1,2,3] {{1,4},{2},{3,5},{6}}=>[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>[1,1,2,2] {{1,4,6},{2},{3},{5}}=>[[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>[1,1,1,3] {{1,4},{2,6},{3},{5}}=>[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>[1,1,2,2] {{1,4},{2},{3,6},{5}}=>[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>[1,1,2,2] {{1,4},{2},{3},{5,6}}=>[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>[1,1,2,2] {{1,4},{2},{3},{5},{6}}=>[[1,4],[2],[3],[5],[6]]=>[6,5,3,2,1,4]=>[1,1,1,1,2] {{1,5,6},{2,4},{3}}=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[1,2,3] {{1,5},{2,4,6},{3}}=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[1,2,3] {{1,5},{2,4},{3,6}}=>[[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>[2,2,2] {{1,5},{2,4},{3},{6}}=>[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>[1,1,2,2] {{1,6},{2,4,5},{3}}=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>[1,2,3] {{1},{2,4,5,6},{3}}=>[[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>[1,1,4] {{1},{2,4,5},{3,6}}=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>[1,2,3] {{1},{2,4,5},{3},{6}}=>[[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>[1,1,1,3] {{1,6},{2,4},{3,5}}=>[[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>[2,2,2] {{1},{2,4,6},{3,5}}=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[1,2,3] {{1},{2,4},{3,5,6}}=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[1,2,3] {{1},{2,4},{3,5},{6}}=>[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>[1,1,2,2] {{1,6},{2,4},{3},{5}}=>[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>[1,1,2,2] {{1},{2,4,6},{3},{5}}=>[[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>[1,1,1,3] {{1},{2,4},{3,6},{5}}=>[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>[1,1,2,2] {{1},{2,4},{3},{5,6}}=>[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>[1,1,2,2] {{1},{2,4},{3},{5},{6}}=>[[1,4],[2],[3],[5],[6]]=>[6,5,3,2,1,4]=>[1,1,1,1,2] {{1,5,6},{2},{3,4}}=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[1,2,3] {{1,5},{2,6},{3,4}}=>[[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>[2,2,2] {{1,5},{2},{3,4,6}}=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[1,2,3] {{1,5},{2},{3,4},{6}}=>[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>[1,1,2,2] {{1,6},{2,5},{3,4}}=>[[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>[2,2,2] {{1},{2,5,6},{3,4}}=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[1,2,3] {{1},{2,5},{3,4,6}}=>[[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>[1,2,3] {{1},{2,5},{3,4},{6}}=>[[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>[1,1,2,2] {{1,6},{2},{3,4,5}}=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>[1,2,3] {{1},{2,6},{3,4,5}}=>[[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>[1,2,3] {{1},{2},{3,4,5,6}}=>[[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>[1,1,4] {{1},{2},{3,4,5},{6}}=>[[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>[1,1,1,3] {{1,6},{2},{3,4},{5}}=>[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>[1,1,2,2] {{1},{2,6},{3,4},{5}}=>[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>[1,1,2,2] {{1},{2},{3,4,6},{5}}=>[[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>[1,1,1,3] {{1},{2},{3,4},{5,6}}=>[[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>[1,1,2,2] {{1},{2},{3,4},{5},{6}}=>[[1,4],[2],[3],[5],[6]]=>[6,5,3,2,1,4]=>[1,1,1,1,2] {{1,5,6},{2},{3},{4}}=>[[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>[1,1,1,3] {{1,5},{2,6},{3},{4}}=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[1,1,2,2] {{1,5},{2},{3,6},{4}}=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[1,1,2,2] {{1,5},{2},{3},{4,6}}=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[1,1,2,2] {{1,5},{2},{3},{4},{6}}=>[[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>[1,1,1,1,2] {{1,6},{2,5},{3},{4}}=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[1,1,2,2] {{1},{2,5,6},{3},{4}}=>[[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>[1,1,1,3] {{1},{2,5},{3,6},{4}}=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[1,1,2,2] {{1},{2,5},{3},{4,6}}=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[1,1,2,2] {{1},{2,5},{3},{4},{6}}=>[[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>[1,1,1,1,2] {{1,6},{2},{3,5},{4}}=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[1,1,2,2] {{1},{2,6},{3,5},{4}}=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[1,1,2,2] {{1},{2},{3,5,6},{4}}=>[[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>[1,1,1,3] {{1},{2},{3,5},{4,6}}=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[1,1,2,2] {{1},{2},{3,5},{4},{6}}=>[[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>[1,1,1,1,2] {{1,6},{2},{3},{4,5}}=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[1,1,2,2] {{1},{2,6},{3},{4,5}}=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[1,1,2,2] {{1},{2},{3,6},{4,5}}=>[[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>[1,1,2,2] {{1},{2},{3},{4,5,6}}=>[[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>[1,1,1,3] {{1},{2},{3},{4,5},{6}}=>[[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>[1,1,1,1,2] {{1,6},{2},{3},{4},{5}}=>[[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>[1,1,1,1,2] {{1},{2,6},{3},{4},{5}}=>[[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>[1,1,1,1,2] {{1},{2},{3,6},{4},{5}}=>[[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>[1,1,1,1,2] {{1},{2},{3},{4,6},{5}}=>[[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>[1,1,1,1,2] {{1},{2},{3},{4},{5,6}}=>[[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>[1,1,1,1,2] {{1},{2},{3},{4},{5},{6}}=>[[1],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1]=>[1,1,1,1,1,1] {{1,2,3,4,5,6,7}}=>[[1,2,3,4,5,6,7]]=>[1,2,3,4,5,6,7]=>[7] {{1,2,3,4,5,6},{7}}=>[[1,2,3,4,5,6],[7]]=>[7,1,2,3,4,5,6]=>[1,6] {{1,2,3,4,5,7},{6}}=>[[1,2,3,4,5,7],[6]]=>[6,1,2,3,4,5,7]=>[1,6] {{1,2,3,4,5},{6,7}}=>[[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>[2,5] {{1,2,3,4,5},{6},{7}}=>[[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>[1,1,5] {{1,2,3,4,6,7},{5}}=>[[1,2,3,4,6,7],[5]]=>[5,1,2,3,4,6,7]=>[1,6] {{1,2,3,4,6},{5,7}}=>[[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>[2,5] {{1,2,3,4,6},{5},{7}}=>[[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>[1,1,5] {{1,2,3,4,7},{5,6}}=>[[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>[2,5] {{1,2,3,4},{5,6,7}}=>[[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>[3,4] {{1,2,3,4},{5,6},{7}}=>[[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>[1,2,4] {{1,2,3,4,7},{5},{6}}=>[[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>[1,1,5] {{1,2,3,4},{5,7},{6}}=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>[1,2,4] {{1,2,3,4},{5},{6,7}}=>[[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>[1,2,4] {{1,2,3,4},{5},{6},{7}}=>[[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>[1,1,1,4] {{1,2,3,5,6,7},{4}}=>[[1,2,3,5,6,7],[4]]=>[4,1,2,3,5,6,7]=>[1,6] {{1,2,3,5,6},{4,7}}=>[[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>[2,5] {{1,2,3,5,6},{4},{7}}=>[[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>[1,1,5] {{1,2,3,5,7},{4,6}}=>[[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>[2,5] {{1,2,3,5},{4,6,7}}=>[[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>[3,4] {{1,2,3,5},{4,6},{7}}=>[[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>[1,2,4] {{1,2,3,5,7},{4},{6}}=>[[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>[1,1,5] {{1,2,3,5},{4,7},{6}}=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>[1,2,4] {{1,2,3,5},{4},{6,7}}=>[[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>[1,2,4] {{1,2,3,5},{4},{6},{7}}=>[[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>[1,1,1,4] {{1,2,3,6,7},{4,5}}=>[[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>[2,5] {{1,2,3,6},{4,5,7}}=>[[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>[3,4] {{1,2,3,6},{4,5},{7}}=>[[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>[1,2,4] {{1,2,3,7},{4,5,6}}=>[[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>[3,4] {{1,2,3},{4,5,6,7}}=>[[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>[3,4] {{1,2,3},{4,5,6},{7}}=>[[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>[1,3,3] {{1,2,3,7},{4,5},{6}}=>[[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>[1,2,4] {{1,2,3},{4,5,7},{6}}=>[[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>[1,3,3] {{1,2,3},{4,5},{6,7}}=>[[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>[2,2,3] {{1,2,3},{4,5},{6},{7}}=>[[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>[1,1,2,3] {{1,2,3,6,7},{4},{5}}=>[[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>[1,1,5] {{1,2,3,6},{4,7},{5}}=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>[1,2,4] {{1,2,3,6},{4},{5,7}}=>[[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>[1,2,4] {{1,2,3,6},{4},{5},{7}}=>[[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>[1,1,1,4] {{1,2,3,7},{4,6},{5}}=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>[1,2,4] {{1,2,3},{4,6,7},{5}}=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>[1,3,3] {{1,2,3},{4,6},{5,7}}=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>[2,2,3] {{1,2,3},{4,6},{5},{7}}=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>[1,1,2,3] {{1,2,3,7},{4},{5,6}}=>[[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>[1,2,4] {{1,2,3},{4,7},{5,6}}=>[[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>[2,2,3] {{1,2,3},{4},{5,6,7}}=>[[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>[1,3,3] {{1,2,3},{4},{5,6},{7}}=>[[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>[1,1,2,3] {{1,2,3,7},{4},{5},{6}}=>[[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>[1,1,1,4] {{1,2,3},{4,7},{5},{6}}=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>[1,1,2,3] {{1,2,3},{4},{5,7},{6}}=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>[1,1,2,3] {{1,2,3},{4},{5},{6,7}}=>[[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>[1,1,2,3] {{1,2,3},{4},{5},{6},{7}}=>[[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>[1,1,1,1,3] {{1,2,4,5,6,7},{3}}=>[[1,2,4,5,6,7],[3]]=>[3,1,2,4,5,6,7]=>[1,6] {{1,2,4,5,6},{3,7}}=>[[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>[2,5] {{1,2,4,5,6},{3},{7}}=>[[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>[1,1,5] {{1,2,4,5,7},{3,6}}=>[[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>[2,5] {{1,2,4,5},{3,6,7}}=>[[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>[3,4] {{1,2,4,5},{3,6},{7}}=>[[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>[1,2,4] {{1,2,4,5,7},{3},{6}}=>[[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>[1,1,5] {{1,2,4,5},{3,7},{6}}=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>[1,2,4] {{1,2,4,5},{3},{6,7}}=>[[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>[1,2,4] {{1,2,4,5},{3},{6},{7}}=>[[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>[1,1,1,4] {{1,2,4,6,7},{3,5}}=>[[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>[2,5] {{1,2,4,6},{3,5,7}}=>[[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>[3,4] {{1,2,4,6},{3,5},{7}}=>[[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>[1,2,4] {{1,2,4,7},{3,5,6}}=>[[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>[3,4] {{1,2,4},{3,5,6,7}}=>[[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>[3,4] {{1,2,4},{3,5,6},{7}}=>[[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>[1,3,3] {{1,2,4,7},{3,5},{6}}=>[[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>[1,2,4] {{1,2,4},{3,5,7},{6}}=>[[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>[1,3,3] {{1,2,4},{3,5},{6,7}}=>[[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>[2,2,3] {{1,2,4},{3,5},{6},{7}}=>[[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>[1,1,2,3] {{1,2,4,6,7},{3},{5}}=>[[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>[1,1,5] {{1,2,4,6},{3,7},{5}}=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>[1,2,4] {{1,2,4,6},{3},{5,7}}=>[[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>[1,2,4] {{1,2,4,6},{3},{5},{7}}=>[[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>[1,1,1,4] {{1,2,4,7},{3,6},{5}}=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>[1,2,4] {{1,2,4},{3,6,7},{5}}=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>[1,3,3] {{1,2,4},{3,6},{5,7}}=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>[2,2,3] {{1,2,4},{3,6},{5},{7}}=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>[1,1,2,3] {{1,2,4,7},{3},{5,6}}=>[[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>[1,2,4] {{1,2,4},{3,7},{5,6}}=>[[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>[2,2,3] {{1,2,4},{3},{5,6,7}}=>[[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>[1,3,3] {{1,2,4},{3},{5,6},{7}}=>[[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>[1,1,2,3] {{1,2,4,7},{3},{5},{6}}=>[[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>[1,1,1,4] {{1,2,4},{3,7},{5},{6}}=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>[1,1,2,3] {{1,2,4},{3},{5,7},{6}}=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>[1,1,2,3] {{1,2,4},{3},{5},{6,7}}=>[[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>[1,1,2,3] {{1,2,4},{3},{5},{6},{7}}=>[[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>[1,1,1,1,3] {{1,2,5,6,7},{3,4}}=>[[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>[2,5] {{1,2,5,6},{3,4,7}}=>[[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>[3,4] {{1,2,5,6},{3,4},{7}}=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>[1,2,4] {{1,2,5,7},{3,4,6}}=>[[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>[3,4] {{1,2,5},{3,4,6,7}}=>[[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>[3,4] {{1,2,5},{3,4,6},{7}}=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>[1,3,3] {{1,2,5,7},{3,4},{6}}=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>[1,2,4] {{1,2,5},{3,4,7},{6}}=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>[1,3,3] {{1,2,5},{3,4},{6,7}}=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>[2,2,3] {{1,2,5},{3,4},{6},{7}}=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>[1,1,2,3] {{1,2,6,7},{3,4,5}}=>[[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>[3,4] {{1,2,6},{3,4,5,7}}=>[[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>[3,4] {{1,2,6},{3,4,5},{7}}=>[[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>[1,3,3] {{1,2,7},{3,4,5,6}}=>[[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>[3,4] {{1,2},{3,4,5,6,7}}=>[[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>[2,5] {{1,2},{3,4,5,6},{7}}=>[[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>[1,2,4] {{1,2,7},{3,4,5},{6}}=>[[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>[1,3,3] {{1,2},{3,4,5,7},{6}}=>[[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>[1,2,4] {{1,2},{3,4,5},{6,7}}=>[[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>[2,2,3] {{1,2},{3,4,5},{6},{7}}=>[[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>[1,1,2,3] {{1,2,6,7},{3,4},{5}}=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>[1,2,4] {{1,2,6},{3,4,7},{5}}=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>[1,3,3] {{1,2,6},{3,4},{5,7}}=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>[2,2,3] {{1,2,6},{3,4},{5},{7}}=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>[1,1,2,3] {{1,2,7},{3,4,6},{5}}=>[[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>[1,3,3] {{1,2},{3,4,6,7},{5}}=>[[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>[1,2,4] {{1,2},{3,4,6},{5,7}}=>[[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>[2,2,3] {{1,2},{3,4,6},{5},{7}}=>[[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>[1,1,2,3] {{1,2,7},{3,4},{5,6}}=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>[2,2,3] {{1,2},{3,4,7},{5,6}}=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>[2,2,3] {{1,2},{3,4},{5,6,7}}=>[[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>[2,2,3] {{1,2},{3,4},{5,6},{7}}=>[[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>[1,2,2,2] {{1,2,7},{3,4},{5},{6}}=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>[1,1,2,3] {{1,2},{3,4,7},{5},{6}}=>[[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>[1,1,2,3] {{1,2},{3,4},{5,7},{6}}=>[[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>[1,2,2,2] {{1,2},{3,4},{5},{6,7}}=>[[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>[1,2,2,2] {{1,2},{3,4},{5},{6},{7}}=>[[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>[1,1,1,2,2] {{1,2,5,6,7},{3},{4}}=>[[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>[1,1,5] {{1,2,5,6},{3,7},{4}}=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>[1,2,4] {{1,2,5,6},{3},{4,7}}=>[[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>[1,2,4] {{1,2,5,6},{3},{4},{7}}=>[[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>[1,1,1,4] {{1,2,5,7},{3,6},{4}}=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>[1,2,4] {{1,2,5},{3,6,7},{4}}=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>[1,3,3] {{1,2,5},{3,6},{4,7}}=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>[2,2,3] {{1,2,5},{3,6},{4},{7}}=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>[1,1,2,3] {{1,2,5,7},{3},{4,6}}=>[[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>[1,2,4] {{1,2,5},{3,7},{4,6}}=>[[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>[2,2,3] {{1,2,5},{3},{4,6,7}}=>[[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>[1,3,3] {{1,2,5},{3},{4,6},{7}}=>[[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>[1,1,2,3] {{1,2,5,7},{3},{4},{6}}=>[[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>[1,1,1,4] {{1,2,5},{3,7},{4},{6}}=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>[1,1,2,3] {{1,2,5},{3},{4,7},{6}}=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>[1,1,2,3] {{1,2,5},{3},{4},{6,7}}=>[[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>[1,1,2,3] {{1,2,5},{3},{4},{6},{7}}=>[[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>[1,1,1,1,3] {{1,2,6,7},{3,5},{4}}=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>[1,2,4] {{1,2,6},{3,5,7},{4}}=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>[1,3,3] {{1,2,6},{3,5},{4,7}}=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>[2,2,3] {{1,2,6},{3,5},{4},{7}}=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>[1,1,2,3] {{1,2,7},{3,5,6},{4}}=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>[1,3,3] {{1,2},{3,5,6,7},{4}}=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>[1,2,4] {{1,2},{3,5,6},{4,7}}=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>[2,2,3] {{1,2},{3,5,6},{4},{7}}=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>[1,1,2,3] {{1,2,7},{3,5},{4,6}}=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>[2,2,3] {{1,2},{3,5,7},{4,6}}=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>[2,2,3] {{1,2},{3,5},{4,6,7}}=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>[2,2,3] {{1,2},{3,5},{4,6},{7}}=>[[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>[1,2,2,2] {{1,2,7},{3,5},{4},{6}}=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>[1,1,2,3] {{1,2},{3,5,7},{4},{6}}=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>[1,1,2,3] {{1,2},{3,5},{4,7},{6}}=>[[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>[1,2,2,2] {{1,2},{3,5},{4},{6,7}}=>[[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>[1,2,2,2] {{1,2},{3,5},{4},{6},{7}}=>[[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>[1,1,1,2,2] {{1,2,6,7},{3},{4,5}}=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>[1,2,4] {{1,2,6},{3,7},{4,5}}=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>[2,2,3] {{1,2,6},{3},{4,5,7}}=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>[1,3,3] {{1,2,6},{3},{4,5},{7}}=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>[1,1,2,3] {{1,2,7},{3,6},{4,5}}=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>[2,2,3] {{1,2},{3,6,7},{4,5}}=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>[2,2,3] {{1,2},{3,6},{4,5,7}}=>[[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>[2,2,3] {{1,2},{3,6},{4,5},{7}}=>[[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>[1,2,2,2] {{1,2,7},{3},{4,5,6}}=>[[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>[1,3,3] {{1,2},{3,7},{4,5,6}}=>[[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>[2,2,3] {{1,2},{3},{4,5,6,7}}=>[[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>[1,2,4] {{1,2},{3},{4,5,6},{7}}=>[[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>[1,1,2,3] {{1,2,7},{3},{4,5},{6}}=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>[1,1,2,3] {{1,2},{3,7},{4,5},{6}}=>[[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>[1,2,2,2] {{1,2},{3},{4,5,7},{6}}=>[[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>[1,1,2,3] {{1,2},{3},{4,5},{6,7}}=>[[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>[1,2,2,2] {{1,2},{3},{4,5},{6},{7}}=>[[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>[1,1,1,2,2] {{1,2,6,7},{3},{4},{5}}=>[[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>[1,1,1,4] {{1,2,6},{3,7},{4},{5}}=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>[1,1,2,3] {{1,2,6},{3},{4,7},{5}}=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>[1,1,2,3] {{1,2,6},{3},{4},{5,7}}=>[[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>[1,1,2,3] {{1,2,6},{3},{4},{5},{7}}=>[[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>[1,1,1,1,3] {{1,2,7},{3,6},{4},{5}}=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>[1,1,2,3] {{1,2},{3,6,7},{4},{5}}=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>[1,1,2,3] {{1,2},{3,6},{4,7},{5}}=>[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>[1,2,2,2] {{1,2},{3,6},{4},{5,7}}=>[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>[1,2,2,2] {{1,2},{3,6},{4},{5},{7}}=>[[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>[1,1,1,2,2] {{1,2,7},{3},{4,6},{5}}=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>[1,1,2,3] {{1,2},{3,7},{4,6},{5}}=>[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>[1,2,2,2] {{1,2},{3},{4,6,7},{5}}=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>[1,1,2,3] {{1,2},{3},{4,6},{5,7}}=>[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>[1,2,2,2] {{1,2},{3},{4,6},{5},{7}}=>[[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>[1,1,1,2,2] {{1,2,7},{3},{4},{5,6}}=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>[1,1,2,3] {{1,2},{3,7},{4},{5,6}}=>[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>[1,2,2,2] {{1,2},{3},{4,7},{5,6}}=>[[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>[1,2,2,2] {{1,2},{3},{4},{5,6,7}}=>[[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>[1,1,2,3] {{1,2},{3},{4},{5,6},{7}}=>[[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>[1,1,1,2,2] {{1,2,7},{3},{4},{5},{6}}=>[[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>[1,1,1,1,3] {{1,2},{3,7},{4},{5},{6}}=>[[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>[1,1,1,2,2] {{1,2},{3},{4,7},{5},{6}}=>[[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>[1,1,1,2,2] {{1,2},{3},{4},{5,7},{6}}=>[[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>[1,1,1,2,2] {{1,2},{3},{4},{5},{6,7}}=>[[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>[1,1,1,2,2] {{1,2},{3},{4},{5},{6},{7}}=>[[1,2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2]=>[1,1,1,1,1,2] {{1,3,4,5,6,7},{2}}=>[[1,3,4,5,6,7],[2]]=>[2,1,3,4,5,6,7]=>[1,6] {{1,3,4,5,6},{2,7}}=>[[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>[2,5] {{1,3,4,5,6},{2},{7}}=>[[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>[1,1,5] {{1,3,4,5,7},{2,6}}=>[[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>[2,5] {{1,3,4,5},{2,6,7}}=>[[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>[3,4] {{1,3,4,5},{2,6},{7}}=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>[1,2,4] {{1,3,4,5,7},{2},{6}}=>[[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>[1,1,5] {{1,3,4,5},{2,7},{6}}=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>[1,2,4] {{1,3,4,5},{2},{6,7}}=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>[1,2,4] {{1,3,4,5},{2},{6},{7}}=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>[1,1,1,4] {{1,3,4,6,7},{2,5}}=>[[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>[2,5] {{1,3,4,6},{2,5,7}}=>[[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>[3,4] {{1,3,4,6},{2,5},{7}}=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>[1,2,4] {{1,3,4,7},{2,5,6}}=>[[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>[3,4] {{1,3,4},{2,5,6,7}}=>[[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>[3,4] {{1,3,4},{2,5,6},{7}}=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>[1,3,3] {{1,3,4,7},{2,5},{6}}=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>[1,2,4] {{1,3,4},{2,5,7},{6}}=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>[1,3,3] {{1,3,4},{2,5},{6,7}}=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>[2,2,3] {{1,3,4},{2,5},{6},{7}}=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>[1,1,2,3] {{1,3,4,6,7},{2},{5}}=>[[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>[1,1,5] {{1,3,4,6},{2,7},{5}}=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>[1,2,4] {{1,3,4,6},{2},{5,7}}=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>[1,2,4] {{1,3,4,6},{2},{5},{7}}=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>[1,1,1,4] {{1,3,4,7},{2,6},{5}}=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>[1,2,4] {{1,3,4},{2,6,7},{5}}=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>[1,3,3] {{1,3,4},{2,6},{5,7}}=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>[2,2,3] {{1,3,4},{2,6},{5},{7}}=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>[1,1,2,3] {{1,3,4,7},{2},{5,6}}=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>[1,2,4] {{1,3,4},{2,7},{5,6}}=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>[2,2,3] {{1,3,4},{2},{5,6,7}}=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>[1,3,3] {{1,3,4},{2},{5,6},{7}}=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>[1,1,2,3] {{1,3,4,7},{2},{5},{6}}=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>[1,1,1,4] {{1,3,4},{2,7},{5},{6}}=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>[1,1,2,3] {{1,3,4},{2},{5,7},{6}}=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>[1,1,2,3] {{1,3,4},{2},{5},{6,7}}=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>[1,1,2,3] {{1,3,4},{2},{5},{6},{7}}=>[[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>[1,1,1,1,3] {{1,3,5,6,7},{2,4}}=>[[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>[2,5] {{1,3,5,6},{2,4,7}}=>[[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>[3,4] {{1,3,5,6},{2,4},{7}}=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>[1,2,4] {{1,3,5,7},{2,4,6}}=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>[3,4] {{1,3,5},{2,4,6,7}}=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>[3,4] {{1,3,5},{2,4,6},{7}}=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>[1,3,3] {{1,3,5,7},{2,4},{6}}=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>[1,2,4] {{1,3,5},{2,4,7},{6}}=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>[1,3,3] {{1,3,5},{2,4},{6,7}}=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>[2,2,3] {{1,3,5},{2,4},{6},{7}}=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>[1,1,2,3] {{1,3,6,7},{2,4,5}}=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>[3,4] {{1,3,6},{2,4,5,7}}=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>[3,4] {{1,3,6},{2,4,5},{7}}=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>[1,3,3] {{1,3,7},{2,4,5,6}}=>[[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>[3,4] {{1,3},{2,4,5,6,7}}=>[[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>[2,5] {{1,3},{2,4,5,6},{7}}=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>[1,2,4] {{1,3,7},{2,4,5},{6}}=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>[1,3,3] {{1,3},{2,4,5,7},{6}}=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>[1,2,4] {{1,3},{2,4,5},{6,7}}=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>[2,2,3] {{1,3},{2,4,5},{6},{7}}=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>[1,1,2,3] {{1,3,6,7},{2,4},{5}}=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>[1,2,4] {{1,3,6},{2,4,7},{5}}=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>[1,3,3] {{1,3,6},{2,4},{5,7}}=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>[2,2,3] {{1,3,6},{2,4},{5},{7}}=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>[1,1,2,3] {{1,3,7},{2,4,6},{5}}=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>[1,3,3] {{1,3},{2,4,6,7},{5}}=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>[1,2,4] {{1,3},{2,4,6},{5,7}}=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>[2,2,3] {{1,3},{2,4,6},{5},{7}}=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>[1,1,2,3] {{1,3,7},{2,4},{5,6}}=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>[2,2,3] {{1,3},{2,4,7},{5,6}}=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>[2,2,3] {{1,3},{2,4},{5,6,7}}=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>[2,2,3] {{1,3},{2,4},{5,6},{7}}=>[[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>[1,2,2,2] {{1,3,7},{2,4},{5},{6}}=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>[1,1,2,3] {{1,3},{2,4,7},{5},{6}}=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>[1,1,2,3] {{1,3},{2,4},{5,7},{6}}=>[[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>[1,2,2,2] {{1,3},{2,4},{5},{6,7}}=>[[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>[1,2,2,2] {{1,3},{2,4},{5},{6},{7}}=>[[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>[1,1,1,2,2] {{1,3,5,6,7},{2},{4}}=>[[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>[1,1,5] {{1,3,5,6},{2,7},{4}}=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>[1,2,4] {{1,3,5,6},{2},{4,7}}=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>[1,2,4] {{1,3,5,6},{2},{4},{7}}=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>[1,1,1,4] {{1,3,5,7},{2,6},{4}}=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>[1,2,4] {{1,3,5},{2,6,7},{4}}=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>[1,3,3] {{1,3,5},{2,6},{4,7}}=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>[2,2,3] {{1,3,5},{2,6},{4},{7}}=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>[1,1,2,3] {{1,3,5,7},{2},{4,6}}=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>[1,2,4] {{1,3,5},{2,7},{4,6}}=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>[2,2,3] {{1,3,5},{2},{4,6,7}}=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>[1,3,3] {{1,3,5},{2},{4,6},{7}}=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>[1,1,2,3] {{1,3,5,7},{2},{4},{6}}=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>[1,1,1,4] {{1,3,5},{2,7},{4},{6}}=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>[1,1,2,3] {{1,3,5},{2},{4,7},{6}}=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>[1,1,2,3] {{1,3,5},{2},{4},{6,7}}=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>[1,1,2,3] {{1,3,5},{2},{4},{6},{7}}=>[[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>[1,1,1,1,3] {{1,3,6,7},{2,5},{4}}=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>[1,2,4] {{1,3,6},{2,5,7},{4}}=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>[1,3,3] {{1,3,6},{2,5},{4,7}}=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>[2,2,3] {{1,3,6},{2,5},{4},{7}}=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>[1,1,2,3] {{1,3,7},{2,5,6},{4}}=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>[1,3,3] {{1,3},{2,5,6,7},{4}}=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>[1,2,4] {{1,3},{2,5,6},{4,7}}=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>[2,2,3] {{1,3},{2,5,6},{4},{7}}=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>[1,1,2,3] {{1,3,7},{2,5},{4,6}}=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>[2,2,3] {{1,3},{2,5,7},{4,6}}=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>[2,2,3] {{1,3},{2,5},{4,6,7}}=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>[2,2,3] {{1,3},{2,5},{4,6},{7}}=>[[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>[1,2,2,2] {{1,3,7},{2,5},{4},{6}}=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>[1,1,2,3] {{1,3},{2,5,7},{4},{6}}=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>[1,1,2,3] {{1,3},{2,5},{4,7},{6}}=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>[1,2,2,2] {{1,3},{2,5},{4},{6,7}}=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>[1,2,2,2] {{1,3},{2,5},{4},{6},{7}}=>[[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>[1,1,1,2,2] {{1,3,6,7},{2},{4,5}}=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>[1,2,4] {{1,3,6},{2,7},{4,5}}=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>[2,2,3] {{1,3,6},{2},{4,5,7}}=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>[1,3,3] {{1,3,6},{2},{4,5},{7}}=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>[1,1,2,3] {{1,3,7},{2,6},{4,5}}=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>[2,2,3] {{1,3},{2,6,7},{4,5}}=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>[2,2,3] {{1,3},{2,6},{4,5,7}}=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>[2,2,3] {{1,3},{2,6},{4,5},{7}}=>[[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>[1,2,2,2] {{1,3,7},{2},{4,5,6}}=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>[1,3,3] {{1,3},{2,7},{4,5,6}}=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>[2,2,3] {{1,3},{2},{4,5,6,7}}=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>[1,2,4] {{1,3},{2},{4,5,6},{7}}=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>[1,1,2,3] {{1,3,7},{2},{4,5},{6}}=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>[1,1,2,3] {{1,3},{2,7},{4,5},{6}}=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>[1,2,2,2] {{1,3},{2},{4,5,7},{6}}=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>[1,1,2,3] {{1,3},{2},{4,5},{6,7}}=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>[1,2,2,2] {{1,3},{2},{4,5},{6},{7}}=>[[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>[1,1,1,2,2] {{1,3,6,7},{2},{4},{5}}=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>[1,1,1,4] {{1,3,6},{2,7},{4},{5}}=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>[1,1,2,3] {{1,3,6},{2},{4,7},{5}}=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>[1,1,2,3] {{1,3,6},{2},{4},{5,7}}=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>[1,1,2,3] {{1,3,6},{2},{4},{5},{7}}=>[[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>[1,1,1,1,3] {{1,3,7},{2,6},{4},{5}}=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>[1,1,2,3] {{1,3},{2,6,7},{4},{5}}=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>[1,1,2,3] {{1,3},{2,6},{4,7},{5}}=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>[1,2,2,2] {{1,3},{2,6},{4},{5,7}}=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>[1,2,2,2] {{1,3},{2,6},{4},{5},{7}}=>[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>[1,1,1,2,2] {{1,3,7},{2},{4,6},{5}}=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>[1,1,2,3] {{1,3},{2,7},{4,6},{5}}=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>[1,2,2,2] {{1,3},{2},{4,6,7},{5}}=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>[1,1,2,3] {{1,3},{2},{4,6},{5,7}}=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>[1,2,2,2] {{1,3},{2},{4,6},{5},{7}}=>[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>[1,1,1,2,2] {{1,3,7},{2},{4},{5,6}}=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>[1,1,2,3] {{1,3},{2,7},{4},{5,6}}=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>[1,2,2,2] {{1,3},{2},{4,7},{5,6}}=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>[1,2,2,2] {{1,3},{2},{4},{5,6,7}}=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>[1,1,2,3] {{1,3},{2},{4},{5,6},{7}}=>[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>[1,1,1,2,2] {{1,3,7},{2},{4},{5},{6}}=>[[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>[1,1,1,1,3] {{1,3},{2,7},{4},{5},{6}}=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>[1,1,1,2,2] {{1,3},{2},{4,7},{5},{6}}=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>[1,1,1,2,2] {{1,3},{2},{4},{5,7},{6}}=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>[1,1,1,2,2] {{1,3},{2},{4},{5},{6,7}}=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>[1,1,1,2,2] {{1,3},{2},{4},{5},{6},{7}}=>[[1,3],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3]=>[1,1,1,1,1,2] {{1,4,5,6,7},{2,3}}=>[[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>[2,5] {{1,4,5,6},{2,3,7}}=>[[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>[3,4] {{1,4,5,6},{2,3},{7}}=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>[1,2,4] {{1,4,5,7},{2,3,6}}=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>[3,4] {{1,4,5},{2,3,6,7}}=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>[3,4] {{1,4,5},{2,3,6},{7}}=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>[1,3,3] {{1,4,5,7},{2,3},{6}}=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>[1,2,4] {{1,4,5},{2,3,7},{6}}=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>[1,3,3] {{1,4,5},{2,3},{6,7}}=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>[2,2,3] {{1,4,5},{2,3},{6},{7}}=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>[1,1,2,3] {{1,4,6,7},{2,3,5}}=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>[3,4] {{1,4,6},{2,3,5,7}}=>[[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>[3,4] {{1,4,6},{2,3,5},{7}}=>[[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>[1,3,3] {{1,4,7},{2,3,5,6}}=>[[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>[3,4] {{1,4},{2,3,5,6,7}}=>[[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>[2,5] {{1,4},{2,3,5,6},{7}}=>[[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>[1,2,4] {{1,4,7},{2,3,5},{6}}=>[[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>[1,3,3] {{1,4},{2,3,5,7},{6}}=>[[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>[1,2,4] {{1,4},{2,3,5},{6,7}}=>[[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>[2,2,3] {{1,4},{2,3,5},{6},{7}}=>[[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>[1,1,2,3] {{1,4,6,7},{2,3},{5}}=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>[1,2,4] {{1,4,6},{2,3,7},{5}}=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>[1,3,3] {{1,4,6},{2,3},{5,7}}=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>[2,2,3] {{1,4,6},{2,3},{5},{7}}=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>[1,1,2,3] {{1,4,7},{2,3,6},{5}}=>[[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>[1,3,3] {{1,4},{2,3,6,7},{5}}=>[[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>[1,2,4] {{1,4},{2,3,6},{5,7}}=>[[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>[2,2,3] {{1,4},{2,3,6},{5},{7}}=>[[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>[1,1,2,3] {{1,4,7},{2,3},{5,6}}=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>[2,2,3] {{1,4},{2,3,7},{5,6}}=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>[2,2,3] {{1,4},{2,3},{5,6,7}}=>[[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>[2,2,3] {{1,4},{2,3},{5,6},{7}}=>[[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>[1,2,2,2] {{1,4,7},{2,3},{5},{6}}=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>[1,1,2,3] {{1,4},{2,3,7},{5},{6}}=>[[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>[1,1,2,3] {{1,4},{2,3},{5,7},{6}}=>[[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>[1,2,2,2] {{1,4},{2,3},{5},{6,7}}=>[[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>[1,2,2,2] {{1,4},{2,3},{5},{6},{7}}=>[[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>[1,1,1,2,2] {{1,5,6,7},{2,3,4}}=>[[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>[3,4] {{1,5,6},{2,3,4,7}}=>[[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>[3,4] {{1,5,6},{2,3,4},{7}}=>[[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>[1,3,3] {{1,5,7},{2,3,4,6}}=>[[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>[3,4] {{1,5},{2,3,4,6,7}}=>[[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>[2,5] {{1,5},{2,3,4,6},{7}}=>[[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>[1,2,4] {{1,5,7},{2,3,4},{6}}=>[[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>[1,3,3] {{1,5},{2,3,4,7},{6}}=>[[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>[1,2,4] {{1,5},{2,3,4},{6,7}}=>[[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>[2,2,3] {{1,5},{2,3,4},{6},{7}}=>[[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>[1,1,2,3] {{1,6,7},{2,3,4,5}}=>[[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>[3,4] {{1,6},{2,3,4,5,7}}=>[[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>[2,5] {{1,6},{2,3,4,5},{7}}=>[[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>[1,2,4] {{1,7},{2,3,4,5,6}}=>[[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>[2,5] {{1},{2,3,4,5,6,7}}=>[[1,3,4,5,6,7],[2]]=>[2,1,3,4,5,6,7]=>[1,6] {{1},{2,3,4,5,6},{7}}=>[[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>[1,1,5] {{1,7},{2,3,4,5},{6}}=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>[1,2,4] {{1},{2,3,4,5,7},{6}}=>[[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>[1,1,5] {{1},{2,3,4,5},{6,7}}=>[[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>[1,2,4] {{1},{2,3,4,5},{6},{7}}=>[[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>[1,1,1,4] {{1,6,7},{2,3,4},{5}}=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>[1,3,3] {{1,6},{2,3,4,7},{5}}=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>[1,2,4] {{1,6},{2,3,4},{5,7}}=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>[2,2,3] {{1,6},{2,3,4},{5},{7}}=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>[1,1,2,3] {{1,7},{2,3,4,6},{5}}=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>[1,2,4] {{1},{2,3,4,6,7},{5}}=>[[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>[1,1,5] {{1},{2,3,4,6},{5,7}}=>[[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>[1,2,4] {{1},{2,3,4,6},{5},{7}}=>[[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>[1,1,1,4] {{1,7},{2,3,4},{5,6}}=>[[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>[2,2,3] {{1},{2,3,4,7},{5,6}}=>[[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>[1,2,4] {{1},{2,3,4},{5,6,7}}=>[[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>[1,3,3] {{1},{2,3,4},{5,6},{7}}=>[[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>[1,1,2,3] {{1,7},{2,3,4},{5},{6}}=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>[1,1,2,3] {{1},{2,3,4,7},{5},{6}}=>[[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>[1,1,1,4] {{1},{2,3,4},{5,7},{6}}=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>[1,1,2,3] {{1},{2,3,4},{5},{6,7}}=>[[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>[1,1,2,3] {{1},{2,3,4},{5},{6},{7}}=>[[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>[1,1,1,1,3] {{1,5,6,7},{2,3},{4}}=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>[1,2,4] {{1,5,6},{2,3,7},{4}}=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>[1,3,3] {{1,5,6},{2,3},{4,7}}=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>[2,2,3] {{1,5,6},{2,3},{4},{7}}=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>[1,1,2,3] {{1,5,7},{2,3,6},{4}}=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>[1,3,3] {{1,5},{2,3,6,7},{4}}=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>[1,2,4] {{1,5},{2,3,6},{4,7}}=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>[2,2,3] {{1,5},{2,3,6},{4},{7}}=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>[1,1,2,3] {{1,5,7},{2,3},{4,6}}=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>[2,2,3] {{1,5},{2,3,7},{4,6}}=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>[2,2,3] {{1,5},{2,3},{4,6,7}}=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>[2,2,3] {{1,5},{2,3},{4,6},{7}}=>[[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>[1,2,2,2] {{1,5,7},{2,3},{4},{6}}=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>[1,1,2,3] {{1,5},{2,3,7},{4},{6}}=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>[1,1,2,3] {{1,5},{2,3},{4,7},{6}}=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>[1,2,2,2] {{1,5},{2,3},{4},{6,7}}=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>[1,2,2,2] {{1,5},{2,3},{4},{6},{7}}=>[[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>[1,1,1,2,2] {{1,6,7},{2,3,5},{4}}=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>[1,3,3] {{1,6},{2,3,5,7},{4}}=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>[1,2,4] {{1,6},{2,3,5},{4,7}}=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>[2,2,3] {{1,6},{2,3,5},{4},{7}}=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>[1,1,2,3] {{1,7},{2,3,5,6},{4}}=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>[1,2,4] {{1},{2,3,5,6,7},{4}}=>[[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>[1,1,5] {{1},{2,3,5,6},{4,7}}=>[[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>[1,2,4] {{1},{2,3,5,6},{4},{7}}=>[[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>[1,1,1,4] {{1,7},{2,3,5},{4,6}}=>[[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>[2,2,3] {{1},{2,3,5,7},{4,6}}=>[[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>[1,2,4] {{1},{2,3,5},{4,6,7}}=>[[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>[1,3,3] {{1},{2,3,5},{4,6},{7}}=>[[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>[1,1,2,3] {{1,7},{2,3,5},{4},{6}}=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>[1,1,2,3] {{1},{2,3,5,7},{4},{6}}=>[[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>[1,1,1,4] {{1},{2,3,5},{4,7},{6}}=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>[1,1,2,3] {{1},{2,3,5},{4},{6,7}}=>[[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>[1,1,2,3] {{1},{2,3,5},{4},{6},{7}}=>[[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>[1,1,1,1,3] {{1,6,7},{2,3},{4,5}}=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>[2,2,3] {{1,6},{2,3,7},{4,5}}=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>[2,2,3] {{1,6},{2,3},{4,5,7}}=>[[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>[2,2,3] {{1,6},{2,3},{4,5},{7}}=>[[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>[1,2,2,2] {{1,7},{2,3,6},{4,5}}=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>[2,2,3] {{1},{2,3,6,7},{4,5}}=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>[1,2,4] {{1},{2,3,6},{4,5,7}}=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>[1,3,3] {{1},{2,3,6},{4,5},{7}}=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>[1,1,2,3] {{1,7},{2,3},{4,5,6}}=>[[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>[2,2,3] {{1},{2,3,7},{4,5,6}}=>[[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>[1,3,3] {{1},{2,3},{4,5,6,7}}=>[[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>[1,2,4] {{1},{2,3},{4,5,6},{7}}=>[[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>[1,1,2,3] {{1,7},{2,3},{4,5},{6}}=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>[1,2,2,2] {{1},{2,3,7},{4,5},{6}}=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>[1,1,2,3] {{1},{2,3},{4,5,7},{6}}=>[[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>[1,1,2,3] {{1},{2,3},{4,5},{6,7}}=>[[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>[1,2,2,2] {{1},{2,3},{4,5},{6},{7}}=>[[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>[1,1,1,2,2] {{1,6,7},{2,3},{4},{5}}=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>[1,1,2,3] {{1,6},{2,3,7},{4},{5}}=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>[1,1,2,3] {{1,6},{2,3},{4,7},{5}}=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>[1,2,2,2] {{1,6},{2,3},{4},{5,7}}=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>[1,2,2,2] {{1,6},{2,3},{4},{5},{7}}=>[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>[1,1,1,2,2] {{1,7},{2,3,6},{4},{5}}=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>[1,1,2,3] {{1},{2,3,6,7},{4},{5}}=>[[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>[1,1,1,4] {{1},{2,3,6},{4,7},{5}}=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>[1,1,2,3] {{1},{2,3,6},{4},{5,7}}=>[[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>[1,1,2,3] {{1},{2,3,6},{4},{5},{7}}=>[[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>[1,1,1,1,3] {{1,7},{2,3},{4,6},{5}}=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>[1,2,2,2] {{1},{2,3,7},{4,6},{5}}=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>[1,1,2,3] {{1},{2,3},{4,6,7},{5}}=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>[1,1,2,3] {{1},{2,3},{4,6},{5,7}}=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>[1,2,2,2] {{1},{2,3},{4,6},{5},{7}}=>[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>[1,1,1,2,2] {{1,7},{2,3},{4},{5,6}}=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>[1,2,2,2] {{1},{2,3,7},{4},{5,6}}=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>[1,1,2,3] {{1},{2,3},{4,7},{5,6}}=>[[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>[1,2,2,2] {{1},{2,3},{4},{5,6,7}}=>[[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>[1,1,2,3] {{1},{2,3},{4},{5,6},{7}}=>[[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>[1,1,1,2,2] {{1,7},{2,3},{4},{5},{6}}=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>[1,1,1,2,2] {{1},{2,3,7},{4},{5},{6}}=>[[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>[1,1,1,1,3] {{1},{2,3},{4,7},{5},{6}}=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>[1,1,1,2,2] {{1},{2,3},{4},{5,7},{6}}=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>[1,1,1,2,2] {{1},{2,3},{4},{5},{6,7}}=>[[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>[1,1,1,2,2] {{1},{2,3},{4},{5},{6},{7}}=>[[1,3],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3]=>[1,1,1,1,1,2] {{1,4,5,6,7},{2},{3}}=>[[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>[1,1,5] {{1,4,5,6},{2,7},{3}}=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>[1,2,4] {{1,4,5,6},{2},{3,7}}=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>[1,2,4] {{1,4,5,6},{2},{3},{7}}=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>[1,1,1,4] {{1,4,5,7},{2,6},{3}}=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>[1,2,4] {{1,4,5},{2,6,7},{3}}=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>[1,3,3] {{1,4,5},{2,6},{3,7}}=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>[2,2,3] {{1,4,5},{2,6},{3},{7}}=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>[1,1,2,3] {{1,4,5,7},{2},{3,6}}=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>[1,2,4] {{1,4,5},{2,7},{3,6}}=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>[2,2,3] {{1,4,5},{2},{3,6,7}}=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>[1,3,3] {{1,4,5},{2},{3,6},{7}}=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>[1,1,2,3] {{1,4,5,7},{2},{3},{6}}=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>[1,1,1,4] {{1,4,5},{2,7},{3},{6}}=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>[1,1,2,3] {{1,4,5},{2},{3,7},{6}}=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>[1,1,2,3] {{1,4,5},{2},{3},{6,7}}=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>[1,1,2,3] {{1,4,5},{2},{3},{6},{7}}=>[[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>[1,1,1,1,3] {{1,4,6,7},{2,5},{3}}=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>[1,2,4] {{1,4,6},{2,5,7},{3}}=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>[1,3,3] {{1,4,6},{2,5},{3,7}}=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>[2,2,3] {{1,4,6},{2,5},{3},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>[1,1,2,3] {{1,4,7},{2,5,6},{3}}=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>[1,3,3] {{1,4},{2,5,6,7},{3}}=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>[1,2,4] {{1,4},{2,5,6},{3,7}}=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>[2,2,3] {{1,4},{2,5,6},{3},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>[1,1,2,3] {{1,4,7},{2,5},{3,6}}=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[2,2,3] {{1,4},{2,5,7},{3,6}}=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[2,2,3] {{1,4},{2,5},{3,6,7}}=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[2,2,3] {{1,4},{2,5},{3,6},{7}}=>[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>[1,2,2,2] {{1,4,7},{2,5},{3},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>[1,1,2,3] {{1,4},{2,5,7},{3},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>[1,1,2,3] {{1,4},{2,5},{3,7},{6}}=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>[1,2,2,2] {{1,4},{2,5},{3},{6,7}}=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>[1,2,2,2] {{1,4},{2,5},{3},{6},{7}}=>[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>[1,1,1,2,2] {{1,4,6,7},{2},{3,5}}=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>[1,2,4] {{1,4,6},{2,7},{3,5}}=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>[2,2,3] {{1,4,6},{2},{3,5,7}}=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>[1,3,3] {{1,4,6},{2},{3,5},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>[1,1,2,3] {{1,4,7},{2,6},{3,5}}=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[2,2,3] {{1,4},{2,6,7},{3,5}}=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[2,2,3] {{1,4},{2,6},{3,5,7}}=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[2,2,3] {{1,4},{2,6},{3,5},{7}}=>[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>[1,2,2,2] {{1,4,7},{2},{3,5,6}}=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>[1,3,3] {{1,4},{2,7},{3,5,6}}=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>[2,2,3] {{1,4},{2},{3,5,6,7}}=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>[1,2,4] {{1,4},{2},{3,5,6},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>[1,1,2,3] {{1,4,7},{2},{3,5},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>[1,1,2,3] {{1,4},{2,7},{3,5},{6}}=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>[1,2,2,2] {{1,4},{2},{3,5,7},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>[1,1,2,3] {{1,4},{2},{3,5},{6,7}}=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>[1,2,2,2] {{1,4},{2},{3,5},{6},{7}}=>[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>[1,1,1,2,2] {{1,4,6,7},{2},{3},{5}}=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>[1,1,1,4] {{1,4,6},{2,7},{3},{5}}=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>[1,1,2,3] {{1,4,6},{2},{3,7},{5}}=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>[1,1,2,3] {{1,4,6},{2},{3},{5,7}}=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>[1,1,2,3] {{1,4,6},{2},{3},{5},{7}}=>[[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>[1,1,1,1,3] {{1,4,7},{2,6},{3},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[1,1,2,3] {{1,4},{2,6,7},{3},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[1,1,2,3] {{1,4},{2,6},{3,7},{5}}=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[1,2,2,2] {{1,4},{2,6},{3},{5,7}}=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[1,2,2,2] {{1,4},{2,6},{3},{5},{7}}=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>[1,1,1,2,2] {{1,4,7},{2},{3,6},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[1,1,2,3] {{1,4},{2,7},{3,6},{5}}=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[1,2,2,2] {{1,4},{2},{3,6,7},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[1,1,2,3] {{1,4},{2},{3,6},{5,7}}=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[1,2,2,2] {{1,4},{2},{3,6},{5},{7}}=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>[1,1,1,2,2] {{1,4,7},{2},{3},{5,6}}=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[1,1,2,3] {{1,4},{2,7},{3},{5,6}}=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[1,2,2,2] {{1,4},{2},{3,7},{5,6}}=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[1,2,2,2] {{1,4},{2},{3},{5,6,7}}=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[1,1,2,3] {{1,4},{2},{3},{5,6},{7}}=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>[1,1,1,2,2] {{1,4,7},{2},{3},{5},{6}}=>[[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>[1,1,1,1,3] {{1,4},{2,7},{3},{5},{6}}=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>[1,1,1,2,2] {{1,4},{2},{3,7},{5},{6}}=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>[1,1,1,2,2] {{1,4},{2},{3},{5,7},{6}}=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>[1,1,1,2,2] {{1,4},{2},{3},{5},{6,7}}=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>[1,1,1,2,2] {{1,4},{2},{3},{5},{6},{7}}=>[[1,4],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4]=>[1,1,1,1,1,2] {{1,5,6,7},{2,4},{3}}=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>[1,2,4] {{1,5,6},{2,4,7},{3}}=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>[1,3,3] {{1,5,6},{2,4},{3,7}}=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>[2,2,3] {{1,5,6},{2,4},{3},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>[1,1,2,3] {{1,5,7},{2,4,6},{3}}=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>[1,3,3] {{1,5},{2,4,6,7},{3}}=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>[1,2,4] {{1,5},{2,4,6},{3,7}}=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>[2,2,3] {{1,5},{2,4,6},{3},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>[1,1,2,3] {{1,5,7},{2,4},{3,6}}=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[2,2,3] {{1,5},{2,4,7},{3,6}}=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[2,2,3] {{1,5},{2,4},{3,6,7}}=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[2,2,3] {{1,5},{2,4},{3,6},{7}}=>[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>[1,2,2,2] {{1,5,7},{2,4},{3},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>[1,1,2,3] {{1,5},{2,4,7},{3},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>[1,1,2,3] {{1,5},{2,4},{3,7},{6}}=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>[1,2,2,2] {{1,5},{2,4},{3},{6,7}}=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>[1,2,2,2] {{1,5},{2,4},{3},{6},{7}}=>[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>[1,1,1,2,2] {{1,6,7},{2,4,5},{3}}=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>[1,3,3] {{1,6},{2,4,5,7},{3}}=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>[1,2,4] {{1,6},{2,4,5},{3,7}}=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>[2,2,3] {{1,6},{2,4,5},{3},{7}}=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>[1,1,2,3] {{1,7},{2,4,5,6},{3}}=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>[1,2,4] {{1},{2,4,5,6,7},{3}}=>[[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>[1,1,5] {{1},{2,4,5,6},{3,7}}=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>[1,2,4] {{1},{2,4,5,6},{3},{7}}=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>[1,1,1,4] {{1,7},{2,4,5},{3,6}}=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>[2,2,3] {{1},{2,4,5,7},{3,6}}=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>[1,2,4] {{1},{2,4,5},{3,6,7}}=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>[1,3,3] {{1},{2,4,5},{3,6},{7}}=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>[1,1,2,3] {{1,7},{2,4,5},{3},{6}}=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>[1,1,2,3] {{1},{2,4,5,7},{3},{6}}=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>[1,1,1,4] {{1},{2,4,5},{3,7},{6}}=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>[1,1,2,3] {{1},{2,4,5},{3},{6,7}}=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>[1,1,2,3] {{1},{2,4,5},{3},{6},{7}}=>[[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>[1,1,1,1,3] {{1,6,7},{2,4},{3,5}}=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[2,2,3] {{1,6},{2,4,7},{3,5}}=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[2,2,3] {{1,6},{2,4},{3,5,7}}=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[2,2,3] {{1,6},{2,4},{3,5},{7}}=>[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>[1,2,2,2] {{1,7},{2,4,6},{3,5}}=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>[2,2,3] {{1},{2,4,6,7},{3,5}}=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>[1,2,4] {{1},{2,4,6},{3,5,7}}=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>[1,3,3] {{1},{2,4,6},{3,5},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>[1,1,2,3] {{1,7},{2,4},{3,5,6}}=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>[2,2,3] {{1},{2,4,7},{3,5,6}}=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>[1,3,3] {{1},{2,4},{3,5,6,7}}=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>[1,2,4] {{1},{2,4},{3,5,6},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>[1,1,2,3] {{1,7},{2,4},{3,5},{6}}=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>[1,2,2,2] {{1},{2,4,7},{3,5},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>[1,1,2,3] {{1},{2,4},{3,5,7},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>[1,1,2,3] {{1},{2,4},{3,5},{6,7}}=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>[1,2,2,2] {{1},{2,4},{3,5},{6},{7}}=>[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>[1,1,1,2,2] {{1,6,7},{2,4},{3},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[1,1,2,3] {{1,6},{2,4,7},{3},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[1,1,2,3] {{1,6},{2,4},{3,7},{5}}=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[1,2,2,2] {{1,6},{2,4},{3},{5,7}}=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[1,2,2,2] {{1,6},{2,4},{3},{5},{7}}=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>[1,1,1,2,2] {{1,7},{2,4,6},{3},{5}}=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>[1,1,2,3] {{1},{2,4,6,7},{3},{5}}=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>[1,1,1,4] {{1},{2,4,6},{3,7},{5}}=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>[1,1,2,3] {{1},{2,4,6},{3},{5,7}}=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>[1,1,2,3] {{1},{2,4,6},{3},{5},{7}}=>[[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>[1,1,1,1,3] {{1,7},{2,4},{3,6},{5}}=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[1,2,2,2] {{1},{2,4,7},{3,6},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[1,1,2,3] {{1},{2,4},{3,6,7},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[1,1,2,3] {{1},{2,4},{3,6},{5,7}}=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[1,2,2,2] {{1},{2,4},{3,6},{5},{7}}=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>[1,1,1,2,2] {{1,7},{2,4},{3},{5,6}}=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[1,2,2,2] {{1},{2,4,7},{3},{5,6}}=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[1,1,2,3] {{1},{2,4},{3,7},{5,6}}=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[1,2,2,2] {{1},{2,4},{3},{5,6,7}}=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[1,1,2,3] {{1},{2,4},{3},{5,6},{7}}=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>[1,1,1,2,2] {{1,7},{2,4},{3},{5},{6}}=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>[1,1,1,2,2] {{1},{2,4,7},{3},{5},{6}}=>[[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>[1,1,1,1,3] {{1},{2,4},{3,7},{5},{6}}=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>[1,1,1,2,2] {{1},{2,4},{3},{5,7},{6}}=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>[1,1,1,2,2] {{1},{2,4},{3},{5},{6,7}}=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>[1,1,1,2,2] {{1},{2,4},{3},{5},{6},{7}}=>[[1,4],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4]=>[1,1,1,1,1,2] {{1,5,6,7},{2},{3,4}}=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>[1,2,4] {{1,5,6},{2,7},{3,4}}=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>[2,2,3] {{1,5,6},{2},{3,4,7}}=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>[1,3,3] {{1,5,6},{2},{3,4},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>[1,1,2,3] {{1,5,7},{2,6},{3,4}}=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[2,2,3] {{1,5},{2,6,7},{3,4}}=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[2,2,3] {{1,5},{2,6},{3,4,7}}=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[2,2,3] {{1,5},{2,6},{3,4},{7}}=>[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>[1,2,2,2] {{1,5,7},{2},{3,4,6}}=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>[1,3,3] {{1,5},{2,7},{3,4,6}}=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>[2,2,3] {{1,5},{2},{3,4,6,7}}=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>[1,2,4] {{1,5},{2},{3,4,6},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>[1,1,2,3] {{1,5,7},{2},{3,4},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>[1,1,2,3] {{1,5},{2,7},{3,4},{6}}=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>[1,2,2,2] {{1,5},{2},{3,4,7},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>[1,1,2,3] {{1,5},{2},{3,4},{6,7}}=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>[1,2,2,2] {{1,5},{2},{3,4},{6},{7}}=>[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>[1,1,1,2,2] {{1,6,7},{2,5},{3,4}}=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[2,2,3] {{1,6},{2,5,7},{3,4}}=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[2,2,3] {{1,6},{2,5},{3,4,7}}=>[[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>[2,2,3] {{1,6},{2,5},{3,4},{7}}=>[[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>[1,2,2,2] {{1,7},{2,5,6},{3,4}}=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>[2,2,3] {{1},{2,5,6,7},{3,4}}=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>[1,2,4] {{1},{2,5,6},{3,4,7}}=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>[1,3,3] {{1},{2,5,6},{3,4},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>[1,1,2,3] {{1,7},{2,5},{3,4,6}}=>[[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>[2,2,3] {{1},{2,5,7},{3,4,6}}=>[[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>[1,3,3] {{1},{2,5},{3,4,6,7}}=>[[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>[1,2,4] {{1},{2,5},{3,4,6},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>[1,1,2,3] {{1,7},{2,5},{3,4},{6}}=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>[1,2,2,2] {{1},{2,5,7},{3,4},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>[1,1,2,3] {{1},{2,5},{3,4,7},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>[1,1,2,3] {{1},{2,5},{3,4},{6,7}}=>[[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>[1,2,2,2] {{1},{2,5},{3,4},{6},{7}}=>[[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>[1,1,1,2,2] {{1,6,7},{2},{3,4,5}}=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>[1,3,3] {{1,6},{2,7},{3,4,5}}=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>[2,2,3] {{1,6},{2},{3,4,5,7}}=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>[1,2,4] {{1,6},{2},{3,4,5},{7}}=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>[1,1,2,3] {{1,7},{2,6},{3,4,5}}=>[[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>[2,2,3] {{1},{2,6,7},{3,4,5}}=>[[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>[1,3,3] {{1},{2,6},{3,4,5,7}}=>[[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>[1,2,4] {{1},{2,6},{3,4,5},{7}}=>[[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>[1,1,2,3] {{1,7},{2},{3,4,5,6}}=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>[1,2,4] {{1},{2,7},{3,4,5,6}}=>[[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>[1,2,4] {{1},{2},{3,4,5,6,7}}=>[[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>[1,1,5] {{1},{2},{3,4,5,6},{7}}=>[[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>[1,1,1,4] {{1,7},{2},{3,4,5},{6}}=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>[1,1,2,3] {{1},{2,7},{3,4,5},{6}}=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>[1,1,2,3] {{1},{2},{3,4,5,7},{6}}=>[[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>[1,1,1,4] {{1},{2},{3,4,5},{6,7}}=>[[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>[1,1,2,3] {{1},{2},{3,4,5},{6},{7}}=>[[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>[1,1,1,1,3] {{1,6,7},{2},{3,4},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[1,1,2,3] {{1,6},{2,7},{3,4},{5}}=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[1,2,2,2] {{1,6},{2},{3,4,7},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[1,1,2,3] {{1,6},{2},{3,4},{5,7}}=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[1,2,2,2] {{1,6},{2},{3,4},{5},{7}}=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>[1,1,1,2,2] {{1,7},{2,6},{3,4},{5}}=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[1,2,2,2] {{1},{2,6,7},{3,4},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[1,1,2,3] {{1},{2,6},{3,4,7},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[1,1,2,3] {{1},{2,6},{3,4},{5,7}}=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[1,2,2,2] {{1},{2,6},{3,4},{5},{7}}=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>[1,1,1,2,2] {{1,7},{2},{3,4,6},{5}}=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>[1,1,2,3] {{1},{2,7},{3,4,6},{5}}=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>[1,1,2,3] {{1},{2},{3,4,6,7},{5}}=>[[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>[1,1,1,4] {{1},{2},{3,4,6},{5,7}}=>[[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>[1,1,2,3] {{1},{2},{3,4,6},{5},{7}}=>[[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>[1,1,1,1,3] {{1,7},{2},{3,4},{5,6}}=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[1,2,2,2] {{1},{2,7},{3,4},{5,6}}=>[[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>[1,2,2,2] {{1},{2},{3,4,7},{5,6}}=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[1,1,2,3] {{1},{2},{3,4},{5,6,7}}=>[[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>[1,1,2,3] {{1},{2},{3,4},{5,6},{7}}=>[[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>[1,1,1,2,2] {{1,7},{2},{3,4},{5},{6}}=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>[1,1,1,2,2] {{1},{2,7},{3,4},{5},{6}}=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>[1,1,1,2,2] {{1},{2},{3,4,7},{5},{6}}=>[[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>[1,1,1,1,3] {{1},{2},{3,4},{5,7},{6}}=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>[1,1,1,2,2] {{1},{2},{3,4},{5},{6,7}}=>[[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>[1,1,1,2,2] {{1},{2},{3,4},{5},{6},{7}}=>[[1,4],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4]=>[1,1,1,1,1,2] {{1,5,6,7},{2},{3},{4}}=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>[1,1,1,4] {{1,5,6},{2,7},{3},{4}}=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>[1,1,2,3] {{1,5,6},{2},{3,7},{4}}=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>[1,1,2,3] {{1,5,6},{2},{3},{4,7}}=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>[1,1,2,3] {{1,5,6},{2},{3},{4},{7}}=>[[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>[1,1,1,1,3] {{1,5,7},{2,6},{3},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1,5},{2,6,7},{3},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1,5},{2,6},{3,7},{4}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1,5},{2,6},{3},{4,7}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1,5},{2,6},{3},{4},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>[1,1,1,2,2] {{1,5,7},{2},{3,6},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1,5},{2,7},{3,6},{4}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1,5},{2},{3,6,7},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1,5},{2},{3,6},{4,7}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1,5},{2},{3,6},{4},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>[1,1,1,2,2] {{1,5,7},{2},{3},{4,6}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1,5},{2,7},{3},{4,6}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1,5},{2},{3,7},{4,6}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1,5},{2},{3},{4,6,7}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1,5},{2},{3},{4,6},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>[1,1,1,2,2] {{1,5,7},{2},{3},{4},{6}}=>[[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>[1,1,1,1,3] {{1,5},{2,7},{3},{4},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[1,1,1,2,2] {{1,5},{2},{3,7},{4},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[1,1,1,2,2] {{1,5},{2},{3},{4,7},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[1,1,1,2,2] {{1,5},{2},{3},{4},{6,7}}=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[1,1,1,2,2] {{1,5},{2},{3},{4},{6},{7}}=>[[1,5],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5]=>[1,1,1,1,1,2] {{1,6,7},{2,5},{3},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1,6},{2,5,7},{3},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1,6},{2,5},{3,7},{4}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1,6},{2,5},{3},{4,7}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1,6},{2,5},{3},{4},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>[1,1,1,2,2] {{1,7},{2,5,6},{3},{4}}=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>[1,1,2,3] {{1},{2,5,6,7},{3},{4}}=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>[1,1,1,4] {{1},{2,5,6},{3,7},{4}}=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>[1,1,2,3] {{1},{2,5,6},{3},{4,7}}=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>[1,1,2,3] {{1},{2,5,6},{3},{4},{7}}=>[[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>[1,1,1,1,3] {{1,7},{2,5},{3,6},{4}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1},{2,5,7},{3,6},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1},{2,5},{3,6,7},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1},{2,5},{3,6},{4,7}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1},{2,5},{3,6},{4},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>[1,1,1,2,2] {{1,7},{2,5},{3},{4,6}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1},{2,5,7},{3},{4,6}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1},{2,5},{3,7},{4,6}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1},{2,5},{3},{4,6,7}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1},{2,5},{3},{4,6},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>[1,1,1,2,2] {{1,7},{2,5},{3},{4},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[1,1,1,2,2] {{1},{2,5,7},{3},{4},{6}}=>[[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>[1,1,1,1,3] {{1},{2,5},{3,7},{4},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[1,1,1,2,2] {{1},{2,5},{3},{4,7},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[1,1,1,2,2] {{1},{2,5},{3},{4},{6,7}}=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[1,1,1,2,2] {{1},{2,5},{3},{4},{6},{7}}=>[[1,5],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5]=>[1,1,1,1,1,2] {{1,6,7},{2},{3,5},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1,6},{2,7},{3,5},{4}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1,6},{2},{3,5,7},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1,6},{2},{3,5},{4,7}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1,6},{2},{3,5},{4},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>[1,1,1,2,2] {{1,7},{2,6},{3,5},{4}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1},{2,6,7},{3,5},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1},{2,6},{3,5,7},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1},{2,6},{3,5},{4,7}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1},{2,6},{3,5},{4},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>[1,1,1,2,2] {{1,7},{2},{3,5,6},{4}}=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>[1,1,2,3] {{1},{2,7},{3,5,6},{4}}=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>[1,1,2,3] {{1},{2},{3,5,6,7},{4}}=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>[1,1,1,4] {{1},{2},{3,5,6},{4,7}}=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>[1,1,2,3] {{1},{2},{3,5,6},{4},{7}}=>[[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>[1,1,1,1,3] {{1,7},{2},{3,5},{4,6}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1},{2,7},{3,5},{4,6}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1},{2},{3,5,7},{4,6}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1},{2},{3,5},{4,6,7}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1},{2},{3,5},{4,6},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>[1,1,1,2,2] {{1,7},{2},{3,5},{4},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[1,1,1,2,2] {{1},{2,7},{3,5},{4},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[1,1,1,2,2] {{1},{2},{3,5,7},{4},{6}}=>[[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>[1,1,1,1,3] {{1},{2},{3,5},{4,7},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[1,1,1,2,2] {{1},{2},{3,5},{4},{6,7}}=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[1,1,1,2,2] {{1},{2},{3,5},{4},{6},{7}}=>[[1,5],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5]=>[1,1,1,1,1,2] {{1,6,7},{2},{3},{4,5}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1,6},{2,7},{3},{4,5}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1,6},{2},{3,7},{4,5}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1,6},{2},{3},{4,5,7}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1,6},{2},{3},{4,5},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>[1,1,1,2,2] {{1,7},{2,6},{3},{4,5}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1},{2,6,7},{3},{4,5}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1},{2,6},{3,7},{4,5}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1},{2,6},{3},{4,5,7}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1},{2,6},{3},{4,5},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>[1,1,1,2,2] {{1,7},{2},{3,6},{4,5}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1},{2,7},{3,6},{4,5}}=>[[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>[1,2,2,2] {{1},{2},{3,6,7},{4,5}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1},{2},{3,6},{4,5,7}}=>[[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>[1,1,2,3] {{1},{2},{3,6},{4,5},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>[1,1,1,2,2] {{1,7},{2},{3},{4,5,6}}=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>[1,1,2,3] {{1},{2,7},{3},{4,5,6}}=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>[1,1,2,3] {{1},{2},{3,7},{4,5,6}}=>[[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>[1,1,2,3] {{1},{2},{3},{4,5,6,7}}=>[[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>[1,1,1,4] {{1},{2},{3},{4,5,6},{7}}=>[[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>[1,1,1,1,3] {{1,7},{2},{3},{4,5},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[1,1,1,2,2] {{1},{2,7},{3},{4,5},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[1,1,1,2,2] {{1},{2},{3,7},{4,5},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[1,1,1,2,2] {{1},{2},{3},{4,5,7},{6}}=>[[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>[1,1,1,1,3] {{1},{2},{3},{4,5},{6,7}}=>[[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>[1,1,1,2,2] {{1},{2},{3},{4,5},{6},{7}}=>[[1,5],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5]=>[1,1,1,1,1,2] {{1,6,7},{2},{3},{4},{5}}=>[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>[1,1,1,1,3] {{1,6},{2,7},{3},{4},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2] {{1,6},{2},{3,7},{4},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2] {{1,6},{2},{3},{4,7},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2] {{1,6},{2},{3},{4},{5,7}}=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2] {{1,6},{2},{3},{4},{5},{7}}=>[[1,6],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6]=>[1,1,1,1,1,2] {{1,7},{2,6},{3},{4},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2] {{1},{2,6,7},{3},{4},{5}}=>[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>[1,1,1,1,3] {{1},{2,6},{3,7},{4},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2] {{1},{2,6},{3},{4,7},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2] {{1},{2,6},{3},{4},{5,7}}=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2] {{1},{2,6},{3},{4},{5},{7}}=>[[1,6],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6]=>[1,1,1,1,1,2] {{1,7},{2},{3,6},{4},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2] {{1},{2,7},{3,6},{4},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2] {{1},{2},{3,6,7},{4},{5}}=>[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>[1,1,1,1,3] {{1},{2},{3,6},{4,7},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2] {{1},{2},{3,6},{4},{5,7}}=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2] {{1},{2},{3,6},{4},{5},{7}}=>[[1,6],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6]=>[1,1,1,1,1,2] {{1,7},{2},{3},{4,6},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2] {{1},{2,7},{3},{4,6},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2] {{1},{2},{3,7},{4,6},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2] {{1},{2},{3},{4,6,7},{5}}=>[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>[1,1,1,1,3] {{1},{2},{3},{4,6},{5,7}}=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2] {{1},{2},{3},{4,6},{5},{7}}=>[[1,6],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6]=>[1,1,1,1,1,2] {{1,7},{2},{3},{4},{5,6}}=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2] {{1},{2,7},{3},{4},{5,6}}=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2] {{1},{2},{3,7},{4},{5,6}}=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2] {{1},{2},{3},{4,7},{5,6}}=>[[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>[1,1,1,2,2] {{1},{2},{3},{4},{5,6,7}}=>[[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>[1,1,1,1,3] {{1},{2},{3},{4},{5,6},{7}}=>[[1,6],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6]=>[1,1,1,1,1,2] {{1,7},{2},{3},{4},{5},{6}}=>[[1,7],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,2] {{1},{2,7},{3},{4},{5},{6}}=>[[1,7],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,2] {{1},{2},{3,7},{4},{5},{6}}=>[[1,7],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,2] {{1},{2},{3},{4,7},{5},{6}}=>[[1,7],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,2] {{1},{2},{3},{4},{5,7},{6}}=>[[1,7],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,2] {{1},{2},{3},{4},{5},{6,7}}=>[[1,7],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,2] {{1},{2},{3},{4},{5},{6},{7}}=>[[1],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1] {{1,2},{3,4},{5,6},{7,8}}=>[[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>[2,2,2,2] {{1,3},{2,4},{5,6},{7,8}}=>[[1,3],[2,4],[5,6],[7,8]]=>[7,8,5,6,2,4,1,3]=>[2,2,2,2] {{1,4},{2,3},{5,6},{7,8}}=>[[1,3],[2,4],[5,6],[7,8]]=>[7,8,5,6,2,4,1,3]=>[2,2,2,2] {{1,5},{2,3},{4,6},{7,8}}=>[[1,3],[2,5],[4,6],[7,8]]=>[7,8,4,6,2,5,1,3]=>[2,2,2,2] {{1,6},{2,3},{4,5},{7,8}}=>[[1,3],[2,5],[4,6],[7,8]]=>[7,8,4,6,2,5,1,3]=>[2,2,2,2] {{1,7},{2,3},{4,5},{6,8}}=>[[1,3],[2,5],[4,7],[6,8]]=>[6,8,4,7,2,5,1,3]=>[2,2,2,2] {{1,8},{2,3},{4,5},{6,7}}=>[[1,3],[2,5],[4,7],[6,8]]=>[6,8,4,7,2,5,1,3]=>[2,2,2,2] {{1,8},{2,4},{3,5},{6,7}}=>[[1,4],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4]=>[2,2,2,2] {{1,7},{2,4},{3,5},{6,8}}=>[[1,4],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4]=>[2,2,2,2] {{1,6},{2,4},{3,5},{7,8}}=>[[1,4],[2,5],[3,6],[7,8]]=>[7,8,3,6,2,5,1,4]=>[2,2,2,2] {{1,5},{2,4},{3,6},{7,8}}=>[[1,4],[2,5],[3,6],[7,8]]=>[7,8,3,6,2,5,1,4]=>[2,2,2,2] {{1,4},{2,5},{3,6},{7,8}}=>[[1,4],[2,5],[3,6],[7,8]]=>[7,8,3,6,2,5,1,4]=>[2,2,2,2] {{1,3},{2,5},{4,6},{7,8}}=>[[1,3],[2,5],[4,6],[7,8]]=>[7,8,4,6,2,5,1,3]=>[2,2,2,2] {{1,2},{3,5},{4,6},{7,8}}=>[[1,2],[3,5],[4,6],[7,8]]=>[7,8,4,6,3,5,1,2]=>[2,2,2,2] {{1,2},{3,6},{4,5},{7,8}}=>[[1,2],[3,5],[4,6],[7,8]]=>[7,8,4,6,3,5,1,2]=>[2,2,2,2] {{1,3},{2,6},{4,5},{7,8}}=>[[1,3],[2,5],[4,6],[7,8]]=>[7,8,4,6,2,5,1,3]=>[2,2,2,2] {{1,4},{2,6},{3,5},{7,8}}=>[[1,4],[2,5],[3,6],[7,8]]=>[7,8,3,6,2,5,1,4]=>[2,2,2,2] {{1,5},{2,6},{3,4},{7,8}}=>[[1,4],[2,5],[3,6],[7,8]]=>[7,8,3,6,2,5,1,4]=>[2,2,2,2] {{1,6},{2,5},{3,4},{7,8}}=>[[1,4],[2,5],[3,6],[7,8]]=>[7,8,3,6,2,5,1,4]=>[2,2,2,2] {{1,7},{2,5},{3,4},{6,8}}=>[[1,4],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4]=>[2,2,2,2] {{1,8},{2,5},{3,4},{6,7}}=>[[1,4],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4]=>[2,2,2,2] {{1,8},{2,6},{3,4},{5,7}}=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[2,2,2,2] {{1,7},{2,6},{3,4},{5,8}}=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[2,2,2,2] {{1,6},{2,7},{3,4},{5,8}}=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[2,2,2,2] {{1,5},{2,7},{3,4},{6,8}}=>[[1,4],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4]=>[2,2,2,2] {{1,4},{2,7},{3,5},{6,8}}=>[[1,4],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4]=>[2,2,2,2] {{1,3},{2,7},{4,5},{6,8}}=>[[1,3],[2,5],[4,7],[6,8]]=>[6,8,4,7,2,5,1,3]=>[2,2,2,2] {{1,2},{3,7},{4,5},{6,8}}=>[[1,2],[3,5],[4,7],[6,8]]=>[6,8,4,7,3,5,1,2]=>[2,2,2,2] {{1,2},{3,8},{4,5},{6,7}}=>[[1,2],[3,5],[4,7],[6,8]]=>[6,8,4,7,3,5,1,2]=>[2,2,2,2] {{1,3},{2,8},{4,5},{6,7}}=>[[1,3],[2,5],[4,7],[6,8]]=>[6,8,4,7,2,5,1,3]=>[2,2,2,2] {{1,4},{2,8},{3,5},{6,7}}=>[[1,4],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4]=>[2,2,2,2] {{1,5},{2,8},{3,4},{6,7}}=>[[1,4],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4]=>[2,2,2,2] {{1,6},{2,8},{3,4},{5,7}}=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[2,2,2,2] {{1,7},{2,8},{3,4},{5,6}}=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[2,2,2,2] {{1,8},{2,7},{3,4},{5,6}}=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[2,2,2,2] {{1,8},{2,7},{3,5},{4,6}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,7},{2,8},{3,5},{4,6}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,6},{2,8},{3,5},{4,7}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,5},{2,8},{3,6},{4,7}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,4},{2,8},{3,6},{5,7}}=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[2,2,2,2] {{1,3},{2,8},{4,6},{5,7}}=>[[1,3],[2,6],[4,7],[5,8]]=>[5,8,4,7,2,6,1,3]=>[2,2,2,2] {{1,2},{3,8},{4,6},{5,7}}=>[[1,2],[3,6],[4,7],[5,8]]=>[5,8,4,7,3,6,1,2]=>[2,2,2,2] {{1,2},{3,7},{4,6},{5,8}}=>[[1,2],[3,6],[4,7],[5,8]]=>[5,8,4,7,3,6,1,2]=>[2,2,2,2] {{1,3},{2,7},{4,6},{5,8}}=>[[1,3],[2,6],[4,7],[5,8]]=>[5,8,4,7,2,6,1,3]=>[2,2,2,2] {{1,4},{2,7},{3,6},{5,8}}=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[2,2,2,2] {{1,5},{2,7},{3,6},{4,8}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,6},{2,7},{3,5},{4,8}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,7},{2,6},{3,5},{4,8}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,8},{2,6},{3,5},{4,7}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,8},{2,5},{3,6},{4,7}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,7},{2,5},{3,6},{4,8}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,6},{2,5},{3,7},{4,8}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,5},{2,6},{3,7},{4,8}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,4},{2,6},{3,7},{5,8}}=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[2,2,2,2] {{1,3},{2,6},{4,7},{5,8}}=>[[1,3],[2,6],[4,7],[5,8]]=>[5,8,4,7,2,6,1,3]=>[2,2,2,2] {{1,2},{3,6},{4,7},{5,8}}=>[[1,2],[3,6],[4,7],[5,8]]=>[5,8,4,7,3,6,1,2]=>[2,2,2,2] {{1,2},{3,5},{4,7},{6,8}}=>[[1,2],[3,5],[4,7],[6,8]]=>[6,8,4,7,3,5,1,2]=>[2,2,2,2] {{1,3},{2,5},{4,7},{6,8}}=>[[1,3],[2,5],[4,7],[6,8]]=>[6,8,4,7,2,5,1,3]=>[2,2,2,2] {{1,4},{2,5},{3,7},{6,8}}=>[[1,4],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4]=>[2,2,2,2] {{1,5},{2,4},{3,7},{6,8}}=>[[1,4],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4]=>[2,2,2,2] {{1,6},{2,4},{3,7},{5,8}}=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[2,2,2,2] {{1,7},{2,4},{3,6},{5,8}}=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[2,2,2,2] {{1,8},{2,4},{3,6},{5,7}}=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[2,2,2,2] {{1,8},{2,3},{4,6},{5,7}}=>[[1,3],[2,6],[4,7],[5,8]]=>[5,8,4,7,2,6,1,3]=>[2,2,2,2] {{1,7},{2,3},{4,6},{5,8}}=>[[1,3],[2,6],[4,7],[5,8]]=>[5,8,4,7,2,6,1,3]=>[2,2,2,2] {{1,6},{2,3},{4,7},{5,8}}=>[[1,3],[2,6],[4,7],[5,8]]=>[5,8,4,7,2,6,1,3]=>[2,2,2,2] {{1,5},{2,3},{4,7},{6,8}}=>[[1,3],[2,5],[4,7],[6,8]]=>[6,8,4,7,2,5,1,3]=>[2,2,2,2] {{1,4},{2,3},{5,7},{6,8}}=>[[1,3],[2,4],[5,7],[6,8]]=>[6,8,5,7,2,4,1,3]=>[2,2,2,2] {{1,3},{2,4},{5,7},{6,8}}=>[[1,3],[2,4],[5,7],[6,8]]=>[6,8,5,7,2,4,1,3]=>[2,2,2,2] {{1,2},{3,4},{5,7},{6,8}}=>[[1,2],[3,4],[5,7],[6,8]]=>[6,8,5,7,3,4,1,2]=>[2,2,2,2] {{1,2},{3,4},{5,8},{6,7}}=>[[1,2],[3,4],[5,7],[6,8]]=>[6,8,5,7,3,4,1,2]=>[2,2,2,2] {{1,3},{2,4},{5,8},{6,7}}=>[[1,3],[2,4],[5,7],[6,8]]=>[6,8,5,7,2,4,1,3]=>[2,2,2,2] {{1,4},{2,3},{5,8},{6,7}}=>[[1,3],[2,4],[5,7],[6,8]]=>[6,8,5,7,2,4,1,3]=>[2,2,2,2] {{1,5},{2,3},{4,8},{6,7}}=>[[1,3],[2,5],[4,7],[6,8]]=>[6,8,4,7,2,5,1,3]=>[2,2,2,2] {{1,6},{2,3},{4,8},{5,7}}=>[[1,3],[2,6],[4,7],[5,8]]=>[5,8,4,7,2,6,1,3]=>[2,2,2,2] {{1,7},{2,3},{4,8},{5,6}}=>[[1,3],[2,6],[4,7],[5,8]]=>[5,8,4,7,2,6,1,3]=>[2,2,2,2] {{1,8},{2,3},{4,7},{5,6}}=>[[1,3],[2,6],[4,7],[5,8]]=>[5,8,4,7,2,6,1,3]=>[2,2,2,2] {{1,8},{2,4},{3,7},{5,6}}=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[2,2,2,2] {{1,7},{2,4},{3,8},{5,6}}=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[2,2,2,2] {{1,6},{2,4},{3,8},{5,7}}=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[2,2,2,2] {{1,5},{2,4},{3,8},{6,7}}=>[[1,4],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4]=>[2,2,2,2] {{1,4},{2,5},{3,8},{6,7}}=>[[1,4],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4]=>[2,2,2,2] {{1,3},{2,5},{4,8},{6,7}}=>[[1,3],[2,5],[4,7],[6,8]]=>[6,8,4,7,2,5,1,3]=>[2,2,2,2] {{1,2},{3,5},{4,8},{6,7}}=>[[1,2],[3,5],[4,7],[6,8]]=>[6,8,4,7,3,5,1,2]=>[2,2,2,2] {{1,2},{3,6},{4,8},{5,7}}=>[[1,2],[3,6],[4,7],[5,8]]=>[5,8,4,7,3,6,1,2]=>[2,2,2,2] {{1,3},{2,6},{4,8},{5,7}}=>[[1,3],[2,6],[4,7],[5,8]]=>[5,8,4,7,2,6,1,3]=>[2,2,2,2] {{1,4},{2,6},{3,8},{5,7}}=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[2,2,2,2] {{1,5},{2,6},{3,8},{4,7}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,6},{2,5},{3,8},{4,7}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,7},{2,5},{3,8},{4,6}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,8},{2,5},{3,7},{4,6}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,8},{2,6},{3,7},{4,5}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,7},{2,6},{3,8},{4,5}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,6},{2,7},{3,8},{4,5}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,5},{2,7},{3,8},{4,6}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,4},{2,7},{3,8},{5,6}}=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[2,2,2,2] {{1,3},{2,7},{4,8},{5,6}}=>[[1,3],[2,6],[4,7],[5,8]]=>[5,8,4,7,2,6,1,3]=>[2,2,2,2] {{1,2},{3,7},{4,8},{5,6}}=>[[1,2],[3,6],[4,7],[5,8]]=>[5,8,4,7,3,6,1,2]=>[2,2,2,2] {{1,2},{3,8},{4,7},{5,6}}=>[[1,2],[3,6],[4,7],[5,8]]=>[5,8,4,7,3,6,1,2]=>[2,2,2,2] {{1,3},{2,8},{4,7},{5,6}}=>[[1,3],[2,6],[4,7],[5,8]]=>[5,8,4,7,2,6,1,3]=>[2,2,2,2] {{1,4},{2,8},{3,7},{5,6}}=>[[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>[2,2,2,2] {{1,5},{2,8},{3,7},{4,6}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,6},{2,8},{3,7},{4,5}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,7},{2,8},{3,6},{4,5}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1,8},{2,7},{3,6},{4,5}}=>[[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] {{1},{2,3},{4,5,6,8},{7}}=>[[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>[1,1,2,4] {{1},{2,4,6,8},{3},{5},{7}}=>[[1,4,6,8],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6,8]=>[1,1,1,1,4] {{1},{2,4,8},{3},{5,7},{6}}=>[[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>[1,1,1,2,3] {{1},{2,8},{3,4},{5,6,7}}=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>[1,2,2,3] {{1},{2,3,5},{4},{6,7,8}}=>[[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>[1,1,3,3] {{1},{2,8},{3,7},{4,6},{5}}=>[[1,6],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6]=>[1,1,2,2,2] {{1,2},{3,4},{5,6,8},{7}}=>[[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>[1,2,2,3] {{1,2},{3,6,7,8},{4},{5}}=>[[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>[1,1,2,4] {{1,2},{3,5,6},{4},{7,8}}=>[[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>[1,2,2,3] {{1,2},{3,7,8},{4},{5,6}}=>[[1,2,8],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2,8]=>[1,2,2,3] {{1,2},{3,5,8},{4},{6,7}}=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>[1,2,2,3] {{1,2},{3,5,6,8},{4},{7}}=>[[1,2,6,8],[3,5],[4],[7]]=>[7,4,3,5,1,2,6,8]=>[1,1,2,4] {{1,2},{3,6,8},{4,5},{7}}=>[[1,2,8],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2,8]=>[1,2,2,3] {{1,2},{3,4,6},{5},{7,8}}=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>[1,2,2,3] {{1,2},{3,7,8},{4,6},{5}}=>[[1,2,8],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2,8]=>[1,2,2,3] {{1,2},{3,8},{4,6,7},{5}}=>[[1,2,7],[3,6],[4,8],[5]]=>[5,4,8,3,6,1,2,7]=>[1,2,2,3] {{1,2},{3,4,6,8},{5},{7}}=>[[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>[1,1,2,4] {{1,2},{3,8},{4,5,7},{6}}=>[[1,2,7],[3,5],[4,8],[6]]=>[6,4,8,3,5,1,2,7]=>[1,2,2,3] {{1,3},{2},{4,6,8},{5},{7}}=>[[1,3,8],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3,8]=>[1,1,1,2,3] {{1,3},{2},{4,8},{5,7},{6}}=>[[1,3],[2,7],[4,8],[5],[6]]=>[6,5,4,8,2,7,1,3]=>[1,1,2,2,2] {{1,3},{2},{4,5,6,8},{7}}=>[[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>[1,1,2,4] {{1,5,6,7,8},{2},{3},{4}}=>[[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>[1,1,1,5] {{1,6,7,8},{2},{3},{4,5}}=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>[1,1,2,4] {{1,4,5,6},{2},{3},{7,8}}=>[[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>[1,1,2,4] {{1,4,7,8},{2},{3},{5,6}}=>[[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>[1,1,2,4] {{1,4,5,8},{2},{3},{6,7}}=>[[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>[1,1,2,4] {{1,3,4},{2},{5,6},{7,8}}=>[[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>[1,2,2,3] {{1,3,4},{2},{5,7,8},{6}}=>[[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>[1,1,3,3] {{1,3,4},{2},{5,8},{6,7}}=>[[1,3,4],[2,7],[5,8],[6]]=>[6,5,8,2,7,1,3,4]=>[1,2,2,3] {{1,5,6},{2},{3,4},{7,8}}=>[[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>[1,2,2,3] {{1,7,8},{2},{3,4},{5,6}}=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[1,2,2,3] {{1,5,8},{2},{3,4},{6,7}}=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>[1,2,2,3] {{1,3,5},{2},{4},{6,7,8}}=>[[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>[1,1,3,3] {{1,6,7,8},{2},{3,5},{4}}=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>[1,1,2,4] {{1,7,8},{2},{3,5,6},{4}}=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,2,7,8,1,5,6]=>[1,1,3,3] {{1,3,5,7},{2},{4},{6},{8}}=>[[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>[1,1,1,1,4] {{1,3,6},{2},{4,5},{7,8}}=>[[1,3,6],[2,5],[4,8],[7]]=>[7,4,8,2,5,1,3,6]=>[1,2,2,3] {{1,7,8},{2},{3,6},{4,5}}=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>[1,2,2,3] {{1,3,8},{2},{4,5},{6,7}}=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>[1,2,2,3] {{1,3,7},{2},{4,6},{5},{8}}=>[[1,3,7],[2,6],[4],[5],[8]]=>[8,5,4,2,6,1,3,7]=>[1,1,1,2,3] {{1,3,8},{2},{4,6,7},{5}}=>[[1,3,7],[2,6,8],[4],[5]]=>[5,4,2,6,8,1,3,7]=>[1,1,3,3] {{1,3,8},{2},{4,7},{5,6}}=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>[1,2,2,3] {{1,4},{2,3},{5,7,8},{6}}=>[[1,3,8],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3,8]=>[1,2,2,3] {{1,4},{2,3},{5,6,8},{7}}=>[[1,3,8],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3,8]=>[1,2,2,3] {{1,8},{2,3},{4},{5,6,7}}=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>[1,2,2,3] {{1,6,8},{2,3},{4,5},{7}}=>[[1,3,8],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3,8]=>[1,2,2,3] {{1,4,6},{2,3},{5},{7,8}}=>[[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>[1,2,2,3] {{1,8},{2,3},{4,6,7},{5}}=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>[1,2,2,3] {{1,4,8},{2,3},{5},{6,7}}=>[[1,3,8],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3,8]=>[1,2,2,3] {{1,4,6,8},{2,3},{5},{7}}=>[[1,3,6,8],[2,4],[5],[7]]=>[7,5,2,4,1,3,6,8]=>[1,1,2,4] {{1,8},{2,3},{4,5,7},{6}}=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>[1,2,2,3] {{1,4,8},{2,3},{5,7},{6}}=>[[1,3,8],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3,8]=>[1,2,2,3] {{1,2,4},{3},{5,6},{7,8}}=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>[1,2,2,3] {{1,2,4},{3},{5,8},{6,7}}=>[[1,2,4],[3,7],[5,8],[6]]=>[6,5,8,3,7,1,2,4]=>[1,2,2,3] {{1,2,4},{3},{5,6,8},{7}}=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>[1,1,3,3] {{1,5},{2,4},{3},{6,8},{7}}=>[[1,4],[2,5],[3,8],[6],[7]]=>[7,6,3,8,2,5,1,4]=>[1,1,2,2,2] {{1,5,6},{2,4},{3},{7,8}}=>[[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>[1,2,2,3] {{1,7,8},{2,4},{3},{5,6}}=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[1,2,2,3] {{1,5,8},{2,4},{3},{6,7}}=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>[1,2,2,3] {{1,6,7,8},{2,5},{3},{4}}=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>[1,1,2,4] {{1,7,8},{2,5,6},{3},{4}}=>[[1,5,6],[2,7,8],[3],[4]]=>[4,3,2,7,8,1,5,6]=>[1,1,3,3] {{1,8},{2,5,6,7},{3},{4}}=>[[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>[1,1,2,4] {{1,6},{2,4,5},{3},{7,8}}=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>[1,2,2,3] {{1,8},{2,4,5},{3},{6,7}}=>[[1,4,5],[2,7],[3,8],[6]]=>[6,3,8,2,7,1,4,5]=>[1,2,2,3] {{1,2,6},{3},{4,5},{7,8}}=>[[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>[1,2,2,3] {{1,7,8},{2,6},{3},{4,5}}=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>[1,2,2,3] {{1,8},{2,6,7},{3},{4,5}}=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>[1,2,2,3] {{1,2,8},{3},{4,5},{6,7}}=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>[1,2,2,3] {{1,2,6,8},{3},{4,5},{7}}=>[[1,2,6,8],[3,5],[4],[7]]=>[7,4,3,5,1,2,6,8]=>[1,1,2,4] {{1,2,4,6},{3},{5},{7,8}}=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>[1,1,2,4] {{1,7},{2,4,6},{3},{5},{8}}=>[[1,4,6],[2,7],[3],[5],[8]]=>[8,5,3,2,7,1,4,6]=>[1,1,1,2,3] {{1,2,4,8},{3},{5},{6,7}}=>[[1,2,4,8],[3,7],[5],[6]]=>[6,5,3,7,1,2,4,8]=>[1,1,2,4] {{1,2,4,6,8},{3},{5},{7}}=>[[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>[1,1,1,5] {{1,8},{2,4,7},{3},{5,6}}=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>[1,2,2,3] {{1,2,8},{3},{4,7},{5,6}}=>[[1,2,8],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2,8]=>[1,2,2,3] {{1,2,8},{3},{4,5,7},{6}}=>[[1,2,7],[3,5,8],[4],[6]]=>[6,4,3,5,8,1,2,7]=>[1,1,3,3] {{1,2,4,8},{3},{5,7},{6}}=>[[1,2,4,8],[3,7],[5],[6]]=>[6,5,3,7,1,2,4,8]=>[1,1,2,4] {{1,6,8},{2,5},{3,4},{7}}=>[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>[1,2,2,3] {{1,8},{2,5,7},{3,4},{6}}=>[[1,4,7],[2,5],[3,8],[6]]=>[6,3,8,2,5,1,4,7]=>[1,2,2,3] {{1,6},{2,3,5},{4},{7,8}}=>[[1,3,5],[2,6],[4,8],[7]]=>[7,4,8,2,6,1,3,5]=>[1,2,2,3] {{1,8},{2,3,5},{4},{6,7}}=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>[1,2,2,3] {{1,6,8},{2,3,5},{4},{7}}=>[[1,3,5],[2,6,8],[4],[7]]=>[7,4,2,6,8,1,3,5]=>[1,1,3,3] {{1,2,6},{3,5},{4},{7,8}}=>[[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>[1,2,2,3] {{1,7},{2,6},{3,5},{4},{8}}=>[[1,5],[2,6],[3,7],[4],[8]]=>[8,4,3,7,2,6,1,5]=>[1,1,2,2,2] {{1,7,8},{2,6},{3,5},{4}}=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>[1,2,2,3] {{1,8},{2,6,7},{3,5},{4}}=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>[1,2,2,3] {{1,2,8},{3,5},{4},{6,7}}=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>[1,2,2,3] {{1,2,6,8},{3,5},{4},{7}}=>[[1,2,6,8],[3,5],[4],[7]]=>[7,4,3,5,1,2,6,8]=>[1,1,2,4] {{1,8},{2,7},{3,5,6},{4}}=>[[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>[1,2,2,3] {{1,8},{2,3,7},{4},{5,6}}=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>[1,2,2,3] {{1,2,8},{3,7},{4},{5,6}}=>[[1,2,8],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2,8]=>[1,2,2,3] {{1,8},{2,3,5,7},{4},{6}}=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>[1,1,2,4] {{1,2,8},{3,5,7},{4},{6}}=>[[1,2,7],[3,5,8],[4],[6]]=>[6,4,3,5,8,1,2,7]=>[1,1,3,3] {{1,8},{2,3,7},{4,5},{6}}=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>[1,2,2,3] {{1,8},{2,7},{3,4,6},{5}}=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>[1,2,2,3] {{1,8},{2,3,7},{4,6},{5}}=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>[1,2,2,3] {{1,2,8},{3,7},{4,6},{5}}=>[[1,2,8],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2,8]=>[1,2,2,3] {{1,5,7,8},{2,6},{3},{4}}=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>[1,1,2,4] {{1,5,6,8},{2,7},{3},{4}}=>[[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>[1,1,2,4] {{1,2,4,8},{3,7},{5},{6}}=>[[1,2,4,8],[3,7],[5],[6]]=>[6,5,3,7,1,2,4,8]=>[1,1,2,4] {{1,3,6,8},{2,4},{5},{7}}=>[[1,3,6,8],[2,4],[5],[7]]=>[7,5,2,4,1,3,6,8]=>[1,1,2,4] {{1,2,5,8},{3,6},{4},{7}}=>[[1,2,5,8],[3,6],[4],[7]]=>[7,4,3,6,1,2,5,8]=>[1,1,2,4] {{1,3,4,8},{2,6},{5},{7}}=>[[1,3,4,8],[2,6],[5],[7]]=>[7,5,2,6,1,3,4,8]=>[1,1,2,4] {{1,2,4,8},{3,6},{5},{7}}=>[[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>[1,1,2,4] {{1,4,6,7},{2,8},{3},{5}}=>[[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>[1,1,2,4] {{1,3,5,7},{2,8},{4},{6}}=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>[1,1,2,4] {{1,3,4,7},{2,8},{5},{6}}=>[[1,3,4,7],[2,8],[5],[6]]=>[6,5,2,8,1,3,4,7]=>[1,1,2,4] {{1,2,4,7},{3,8},{5},{6}}=>[[1,2,4,7],[3,8],[5],[6]]=>[6,5,3,8,1,2,4,7]=>[1,1,2,4] {{1,2,5,6},{3,8},{4},{7}}=>[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>[1,1,2,4] {{1,3,5,7},{2,6},{4},{8}}=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>[1,1,2,4] {{1,3,5,7},{2,4},{6},{8}}=>[[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>[1,1,2,4] {{1,4,7},{2,6,8},{3},{5}}=>[[1,4,7],[2,6,8],[3],[5]]=>[5,3,2,6,8,1,4,7]=>[1,1,3,3] {{1,3,7},{2,4,8},{5},{6}}=>[[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>[1,1,3,3] {{1,3,6},{2,7,8},{4},{5}}=>[[1,3,6],[2,7,8],[4],[5]]=>[5,4,2,7,8,1,3,6]=>[1,1,3,3] {{1,2,4},{3,7,8},{5},{6}}=>[[1,2,4],[3,7,8],[5],[6]]=>[6,5,3,7,8,1,2,4]=>[1,1,3,3] {{1,2,6},{3,5,8},{4},{7}}=>[[1,2,6],[3,5,8],[4],[7]]=>[7,4,3,5,8,1,2,6]=>[1,1,3,3] {{1,3,6},{2,4,8},{5},{7}}=>[[1,3,6],[2,4,8],[5],[7]]=>[7,5,2,4,8,1,3,6]=>[1,1,3,3] {{1,3,5},{2,6,8},{4},{7}}=>[[1,3,5],[2,6,8],[4],[7]]=>[7,4,2,6,8,1,3,5]=>[1,1,3,3] {{1,3,4},{2,6,8},{5},{7}}=>[[1,3,4],[2,6,8],[5],[7]]=>[7,5,2,6,8,1,3,4]=>[1,1,3,3] {{1,2,4},{3,6,8},{5},{7}}=>[[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>[1,1,3,3] {{1,4,8},{2,6},{3,7},{5}}=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[1,2,2,3] {{1,3,8},{2,6},{4,7},{5}}=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>[1,2,2,3] {{1,2,8},{3,6},{4,7},{5}}=>[[1,2,8],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2,8]=>[1,2,2,3] {{1,4,8},{2,5},{3,7},{6}}=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>[1,2,2,3] {{1,3,8},{2,5},{4,7},{6}}=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>[1,2,2,3] {{1,2,8},{3,5},{4,7},{6}}=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>[1,2,2,3] {{1,4,8},{2,5},{3,6},{7}}=>[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>[1,2,2,3] {{1,4,7},{2,6},{3,8},{5}}=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>[1,2,2,3] {{1,3,7},{2,6},{4,8},{5}}=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>[1,2,2,3] {{1,2,7},{3,6},{4,8},{5}}=>[[1,2,7],[3,6],[4,8],[5]]=>[5,4,8,3,6,1,2,7]=>[1,2,2,3] {{1,4,7},{2,5},{3,8},{6}}=>[[1,4,7],[2,5],[3,8],[6]]=>[6,3,8,2,5,1,4,7]=>[1,2,2,3] {{1,3,7},{2,5},{4,8},{6}}=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>[1,2,2,3] {{1,2,7},{3,5},{4,8},{6}}=>[[1,2,7],[3,5],[4,8],[6]]=>[6,4,8,3,5,1,2,7]=>[1,2,2,3] {{1,4,6},{2,7},{3,8},{5}}=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>[1,2,2,3] {{1,3,6},{2,7},{4,8},{5}}=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>[1,2,2,3] {{1,2,6},{3,7},{4,8},{5}}=>[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>[1,2,2,3] {{1,3,5},{2,7},{4,8},{6}}=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>[1,2,2,3] {{1,2,5},{3,7},{4,8},{6}}=>[[1,2,5],[3,7],[4,8],[6]]=>[6,4,8,3,7,1,2,5]=>[1,2,2,3] {{1,3,6},{2,5},{4,8},{7}}=>[[1,3,6],[2,5],[4,8],[7]]=>[7,4,8,2,5,1,3,6]=>[1,2,2,3] {{1,2,6},{3,5},{4,8},{7}}=>[[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>[1,2,2,3] {{1,3,5},{2,6},{4,8},{7}}=>[[1,3,5],[2,6],[4,8],[7]]=>[7,4,8,2,6,1,3,5]=>[1,2,2,3] {{1,2,5},{3,6},{4,8},{7}}=>[[1,2,5],[3,6],[4,8],[7]]=>[7,4,8,3,6,1,2,5]=>[1,2,2,3] {{1,3,4},{2,6},{5,8},{7}}=>[[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>[1,2,2,3] {{1,2,4},{3,6},{5,8},{7}}=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>[1,2,2,3] {{1,3,5},{2,4},{6,8},{7}}=>[[1,3,5],[2,4],[6,8],[7]]=>[7,6,8,2,4,1,3,5]=>[1,2,2,3] {{1,4,7},{2,5},{3,6},{8}}=>[[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>[1,2,2,3] {{1,3,7},{2,5},{4,6},{8}}=>[[1,3,7],[2,5],[4,6],[8]]=>[8,4,6,2,5,1,3,7]=>[1,2,2,3] {{1,3,5,8},{2},{4,6},{7}}=>[[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>[1,1,2,4] {{1,3,5,7},{2},{4},{6,8}}=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>[1,1,2,4] {{1,5,7},{2,4},{3},{6,8}}=>[[1,4,7],[2,5],[3,8],[6]]=>[6,3,8,2,5,1,4,7]=>[1,2,2,3] {{1,5},{2,4,8},{3},{6,7}}=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>[1,2,2,3] {{1,5,8},{2,4},{3,6},{7}}=>[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>[1,2,2,3] {{1,6,8},{2,4},{3,5},{7}}=>[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>[1,2,2,3] {{1},{2,3,5,8},{4,6},{7}}=>[[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>[1,1,2,4] {{1,5,8},{2,6},{3,4},{7}}=>[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>[1,2,2,3] {{1,4,8},{2,6},{3,5},{7}}=>[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>[1,2,2,3] {{1,4},{2,5,8},{3},{6,7}}=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>[1,2,2,3] {{1,4,7},{2,5},{3},{6,8}}=>[[1,4,7],[2,5],[3,8],[6]]=>[6,3,8,2,5,1,4,7]=>[1,2,2,3] {{1,4},{2},{3,6,7},{5,8}}=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>[1,2,2,3] {{1,4},{2},{3,6},{5,7,8}}=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[1,2,2,3] {{1,4},{2},{3,7},{5,6,8}}=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[1,2,2,3] {{1,4},{2},{3,5,8},{6,7}}=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>[1,2,2,3] {{1,5},{2},{3,4,8},{6,7}}=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>[1,2,2,3] {{1,2,5},{3},{4,7,8},{6}}=>[[1,2,5],[3,7,8],[4],[6]]=>[6,4,3,7,8,1,2,5]=>[1,1,3,3] {{1,2,5,7},{3},{4,8},{6}}=>[[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>[1,1,2,4] {{1},{2,3,5,7},{4},{6,8}}=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>[1,1,2,4] {{1,5,7},{2},{3,4},{6,8}}=>[[1,4,7],[2,5],[3,8],[6]]=>[6,3,8,2,5,1,4,7]=>[1,2,2,3] {{1,4,7},{2},{3,5},{6,8}}=>[[1,4,7],[2,5],[3,8],[6]]=>[6,3,8,2,5,1,4,7]=>[1,2,2,3] {{1,4},{2},{3,8},{5,6,7}}=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>[1,2,2,3] {{1,4,6},{2},{3,8},{5,7}}=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>[1,2,2,3] {{1,4,6},{2},{3,7},{5,8}}=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>[1,2,2,3] {{1},{2,6},{3,4,7},{5,8}}=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>[1,2,2,3] {{1,6},{2,3,7},{4},{5,8}}=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>[1,2,2,3] {{1,2},{3,6,7},{4,8},{5}}=>[[1,2,7],[3,6],[4,8],[5]]=>[5,4,8,3,6,1,2,7]=>[1,2,2,3] {{1,2},{3,6},{4,7,8},{5}}=>[[1,2,8],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2,8]=>[1,2,2,3] {{1,6},{2,3},{4},{5,7,8}}=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>[1,2,2,3] {{1},{2,6},{3,4},{5,7,8}}=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[1,2,2,3] {{1},{2,7},{3,4},{5,6,8}}=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[1,2,2,3] {{1,7},{2,3},{4},{5,6,8}}=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>[1,2,2,3] {{1,2},{3,7},{4,6,8},{5}}=>[[1,2,8],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2,8]=>[1,2,2,3] {{1,2},{3,5,8},{4,7},{6}}=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>[1,2,2,3] {{1,7},{2,3,8},{4,5},{6}}=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>[1,2,2,3] {{1},{2,5},{3,4,8},{6,7}}=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>[1,2,2,3] {{1},{2,4},{3,5,8},{6,7}}=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>[1,2,2,3] {{1},{2,4},{3,7},{5,6,8}}=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[1,2,2,3] {{1},{2,4},{3,6},{5,7,8}}=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[1,2,2,3] {{1},{2,4},{3,6,7},{5,8}}=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>[1,2,2,3] {{1,3},{2,6,7},{4},{5,8}}=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>[1,2,2,3] {{1,3},{2,6},{4},{5,7,8}}=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>[1,2,2,3] {{1,3},{2,7},{4},{5,6,8}}=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>[1,2,2,3] {{1,3},{2,7,8},{4,5},{6}}=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>[1,2,2,3] {{1,3,8},{2,4,7},{5},{6}}=>[[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>[1,1,3,3] {{1,4,8},{2,3,7},{5},{6}}=>[[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>[1,1,3,3] {{1,4,7},{2,3,8},{5},{6}}=>[[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>[1,1,3,3] {{1,3,7},{2,8},{4,5},{6}}=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>[1,2,2,3] {{1,3},{2,8},{4},{5,6,7}}=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>[1,2,2,3] {{1,3,6},{2,8},{4},{5,7}}=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>[1,2,2,3] {{1,3,6},{2,7},{4},{5,8}}=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>[1,2,2,3] {{1},{2,4,6},{3,7},{5,8}}=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>[1,2,2,3] {{1},{2,4,6},{3,8},{5,7}}=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>[1,2,2,3] {{1},{2,4},{3,8},{5,6,7}}=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>[1,2,2,3] {{1},{2,4,7},{3,5},{6,8}}=>[[1,4,7],[2,5],[3,8],[6]]=>[6,3,8,2,5,1,4,7]=>[1,2,2,3] {{1},{2,5,7},{3,4},{6,8}}=>[[1,4,7],[2,5],[3,8],[6]]=>[6,3,8,2,5,1,4,7]=>[1,2,2,3] {{1},{2,8},{3,4,6},{5,7}}=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>[1,2,2,3] {{1,8},{2,3,6},{4},{5,7}}=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>[1,2,2,3] {{1,2,6},{3,8},{4,7},{5}}=>[[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>[1,2,2,3] {{1,7},{2,3,6},{4},{5,8}}=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>[1,2,2,3] {{1},{2,7},{3,4,6},{5,8}}=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>[1,2,2,3] {{1,2},{3,6,8},{4,7},{5}}=>[[1,2,8],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2,8]=>[1,2,2,3] {{1,2},{3,5,7},{4,8},{6}}=>[[1,2,7],[3,5],[4,8],[6]]=>[6,4,8,3,5,1,2,7]=>[1,2,2,3] {{1,2},{3,7},{4,5,8},{6}}=>[[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>[1,2,2,3] {{1,4,8},{2,7},{3},{5,6}}=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[1,2,2,3] {{1,3,7},{2,8},{4},{5,6}}=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>[1,2,2,3] {{1,3,7},{2,8},{4,6},{5}}=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>[1,2,2,3] {{1,3,7},{2},{4,5,8},{6}}=>[[1,3,7],[2,5,8],[4],[6]]=>[6,4,2,5,8,1,3,7]=>[1,1,3,3] {{1,7},{2,3},{4,5,8},{6}}=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>[1,2,2,3] {{1,7},{2,3,8},{4,6},{5}}=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>[1,2,2,3] {{1,7},{2,3,8},{4},{5,6}}=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>[1,2,2,3] {{1,7,8},{2,5},{3,6},{4}}=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>[1,2,2,3] {{1,7},{2,4,6,8},{3},{5}}=>[[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>[1,1,2,4] {{1,7},{2,4,5},{3,8},{6}}=>[[1,4,5],[2,7],[3,8],[6]]=>[6,3,8,2,7,1,4,5]=>[1,2,2,3] {{1,4,6},{2,5},{3},{7,8}}=>[[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>[1,2,2,3] {{1,5,7,8},{2},{3,6},{4}}=>[[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>[1,1,2,4] {{1,5,8},{2,7},{3,6},{4}}=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>[1,2,2,3] {{1,8},{2,5,7},{3,6},{4}}=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>[1,2,2,3] {{1,5,8},{2,6,7},{3},{4}}=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>[1,1,3,3] {{1,4,5,7},{2},{3,8},{6}}=>[[1,4,5,7],[2,8],[3],[6]]=>[6,3,2,8,1,4,5,7]=>[1,1,2,4] {{1,3,5},{2,6},{4},{7,8}}=>[[1,3,5],[2,6],[4,8],[7]]=>[7,4,8,2,6,1,3,5]=>[1,2,2,3] {{1,3,6},{2,8},{4,7},{5}}=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>[1,2,2,3] {{1,4,6,8},{2},{3,7},{5}}=>[[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>[1,1,2,4] {{1,8},{2,4,6},{3,7},{5}}=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>[1,2,2,3] {{1,4,8},{2,5},{3},{6,7}}=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>[1,2,2,3] {{1,3,5},{2,8},{4},{6,7}}=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>[1,2,2,3] {{1,5},{2,3,8},{4},{6,7}}=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>[1,2,2,3] {{1,8},{2,6},{3,4,7},{5}}=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>[1,2,2,3] {{1,6,8},{2},{3,4,7},{5}}=>[[1,4,7],[2,6,8],[3],[5]]=>[5,3,2,6,8,1,4,7]=>[1,1,3,3] {{1,6,8},{2,4},{3,7},{5}}=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[1,2,2,3] {{1,6},{2,3,8},{4,7},{5}}=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>[1,2,2,3] {{1,6},{2,3,7,8},{4},{5}}=>[[1,3,7,8],[2,6],[4],[5]]=>[5,4,2,6,1,3,7,8]=>[1,1,2,4] {{1,5},{2,3,7},{4,8},{6}}=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>[1,2,2,3] {{1,5},{2,3,6},{4},{7,8}}=>[[1,3,6],[2,5],[4,8],[7]]=>[7,4,8,2,5,1,3,6]=>[1,2,2,3] {{1,5,7},{2,4},{3,8},{6}}=>[[1,4,7],[2,5],[3,8],[6]]=>[6,3,8,2,5,1,4,7]=>[1,2,2,3] {{1,6,7},{2,4,8},{3},{5}}=>[[1,4,7],[2,6,8],[3],[5]]=>[5,3,2,6,8,1,4,7]=>[1,1,3,3] {{1,6,8},{2,5,7},{3},{4}}=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>[1,1,3,3] {{1,6,8},{2,7},{3,5},{4}}=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>[1,2,2,3] {{1,6,8},{2,7},{3},{4,5}}=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>[1,2,2,3] {{1,6,7},{2,8},{3,4},{5}}=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>[1,2,2,3] {{1,5,7},{2},{3,4,8},{6}}=>[[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>[1,1,3,3] {{1,7},{2,5},{3,4,8},{6}}=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>[1,2,2,3] {{1,7},{2,6,8},{3,4},{5}}=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[1,2,2,3] {{1,4,8},{2,3,6},{5},{7}}=>[[1,3,6],[2,4,8],[5],[7]]=>[7,5,2,4,8,1,3,6]=>[1,1,3,3] {{1,5},{2,4,8},{3,7},{6}}=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>[1,2,2,3] {{1,5},{2,4,7},{3,8},{6}}=>[[1,4,7],[2,5],[3,8],[6]]=>[6,3,8,2,5,1,4,7]=>[1,2,2,3] {{1,5},{2,4,8},{3,6},{7}}=>[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>[1,2,2,3] {{1,6},{2,4,8},{3,5},{7}}=>[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>[1,2,2,3] {{1,6},{2,5},{3,4,8},{7}}=>[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>[1,2,2,3] {{1,6},{2,3,5},{4,8},{7}}=>[[1,3,5],[2,6],[4,8],[7]]=>[7,4,8,2,6,1,3,5]=>[1,2,2,3] {{1,5},{2,3,6},{4,8},{7}}=>[[1,3,6],[2,5],[4,8],[7]]=>[7,4,8,2,5,1,3,6]=>[1,2,2,3] {{1,5},{2,6},{3,4,8},{7}}=>[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>[1,2,2,3] {{1,4,8},{2,7},{3,6},{5}}=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[1,2,2,3] {{1,4,7},{2,8},{3,6},{5}}=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>[1,2,2,3] {{1,4,6},{2,8},{3,7},{5}}=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>[1,2,2,3] {{1,4,7},{2,8},{3,5},{6}}=>[[1,4,7],[2,5],[3,8],[6]]=>[6,3,8,2,5,1,4,7]=>[1,2,2,3] {{1,5},{2,8},{3,4,7},{6}}=>[[1,4,7],[2,5],[3,8],[6]]=>[6,3,8,2,5,1,4,7]=>[1,2,2,3] {{1,5},{2,3,8},{4,7},{6}}=>[[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>[1,2,2,3] {{1,2,5},{3,8},{4,7},{6}}=>[[1,2,5],[3,7],[4,8],[6]]=>[6,4,8,3,7,1,2,5]=>[1,2,2,3] {{1,5},{2,7},{3,4,8},{6}}=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>[1,2,2,3] {{1,4,8},{2,7},{3,5},{6}}=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>[1,2,2,3] {{1,7},{2,6},{3,4,8},{5}}=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[1,2,2,3] {{1,7},{2,3,6},{4,8},{5}}=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>[1,2,2,3] {{1,8},{2,3,6},{4,7},{5}}=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>[1,2,2,3] {{1,8},{2,3,5},{4,7},{6}}=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>[1,2,2,3] {{1,8},{2,5},{3,4,7},{6}}=>[[1,4,7],[2,5],[3,8],[6]]=>[6,3,8,2,5,1,4,7]=>[1,2,2,3] {{1,8},{2,4,7},{3,5},{6}}=>[[1,4,7],[2,5],[3,8],[6]]=>[6,3,8,2,5,1,4,7]=>[1,2,2,3] {{1,8},{2,4,7},{3,6},{5}}=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>[1,2,2,3] {{1,7},{2,4,8},{3,6},{5}}=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[1,2,2,3] {{1,3,5},{2,8},{4,7},{6}}=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>[1,2,2,3] {{1,3,8},{2,7},{4,6},{5}}=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>[1,2,2,3] {{1,6},{2,4,8},{3,7},{5}}=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[1,2,2,3] {{1,6},{2,4,7},{3,8},{5}}=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>[1,2,2,3] {{1,7},{2,4,6},{3,8},{5}}=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>[1,2,2,3] {{1,7},{2,4,8},{3,5},{6}}=>[[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>[1,2,2,3] {{1,7},{2,3,5},{4,8},{6}}=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>[1,2,2,3] {{1,2,7},{3,8},{4,6},{5}}=>[[1,2,7],[3,6],[4,8],[5]]=>[5,4,8,3,6,1,2,7]=>[1,2,2,3] {{1,7},{2,8},{3,4,6},{5}}=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>[1,2,2,3] {{1,6},{2,8},{3,4,7},{5}}=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>[1,2,2,3] {{1,6},{2,3,7},{4,8},{5}}=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>[1,2,2,3] {{1,6},{2,7},{3,4,8},{5}}=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[1,2,2,3] {{1,3,5},{2},{4,6,8},{7}}=>[[1,3,5],[2,6,8],[4],[7]]=>[7,4,2,6,8,1,3,5]=>[1,1,3,3] {{1,3},{2,4,6,8},{5},{7}}=>[[1,3,6,8],[2,4],[5],[7]]=>[7,5,2,4,1,3,6,8]=>[1,1,2,4] {{1},{2,4,6,8},{3},{5,7}}=>[[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>[1,1,2,4] {{1,3},{2},{4,6,8},{5,7}}=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>[1,2,2,3] {{1,3,6},{2},{4,8},{5,7}}=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>[1,2,2,3] {{1,3,6},{2},{4,7},{5,8}}=>[[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>[1,2,2,3] {{1,3,5},{2},{4,7},{6,8}}=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>[1,2,2,3] {{1,3,5,7},{2},{4,6},{8}}=>[[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>[1,1,2,4] {{1,3,7},{2},{4,6,8},{5}}=>[[1,3,7],[2,6,8],[4],[5]]=>[5,4,2,6,8,1,3,7]=>[1,1,3,3] {{1,3,7},{2},{4,6},{5,8}}=>[[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>[1,2,2,3] {{1,3,5,7},{2},{4,8},{6}}=>[[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>[1,1,2,4] {{1,3},{2,4,8},{5,7},{6}}=>[[1,3,8],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3,8]=>[1,2,2,3] {{1},{2,4,8},{3,5,7},{6}}=>[[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>[1,1,3,3] {{1,4},{2,8},{3,5,7},{6}}=>[[1,4,7],[2,5],[3,8],[6]]=>[6,3,8,2,5,1,4,7]=>[1,2,2,3] {{1,4},{2,5,7},{3,8},{6}}=>[[1,4,7],[2,5],[3,8],[6]]=>[6,3,8,2,5,1,4,7]=>[1,2,2,3] {{1,3},{2,5,7},{4,8},{6}}=>[[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>[1,2,2,3] {{1,3},{2,7},{4,6,8},{5}}=>[[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>[1,2,2,3] {{1,3,7},{2,4,6},{5},{8}}=>[[1,3,6],[2,4,7],[5],[8]]=>[8,5,2,4,7,1,3,6]=>[1,1,3,3] {{1,7},{2,4,6},{3},{5,8}}=>[[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>[1,2,2,3] {{1,5,7},{2,4,8},{3},{6}}=>[[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>[1,1,3,3] {{1},{2,8},{3,5,7},{4,6}}=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>[1,2,2,3] {{1,7},{2,4,6},{3,5},{8}}=>[[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>[1,2,2,3] {{1,4,7},{2,6},{3,5},{8}}=>[[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>[1,2,2,3] {{1},{2,5,8},{3,7},{4,6}}=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>[1,2,2,3] {{1},{2,5,8},{3,6},{4,7}}=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>[1,2,2,3] {{1},{2,4,8},{3,6},{5,7}}=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[1,2,2,3] {{1},{2,4,6,8},{3,5},{7}}=>[[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>[1,1,2,4] {{1,4},{2,6,8},{3,5},{7}}=>[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>[1,2,2,3] {{1,4},{2,5},{3,6,8},{7}}=>[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>[1,2,2,3] {{1,3},{2,5},{4,6,8},{7}}=>[[1,3,8],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3,8]=>[1,2,2,3] {{1,5},{2,4,6,8},{3},{7}}=>[[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>[1,1,2,4] {{1,5},{2,4},{3,6,8},{7}}=>[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>[1,2,2,3] {{1},{2,6,8},{3,5,7},{4}}=>[[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>[1,1,3,3] {{1,6},{2,8},{3,5,7},{4}}=>[[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>[1,2,2,3] {{1,6},{2,4,8},{3},{5,7}}=>[[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>[1,2,2,3] {{1,6},{2,4,7},{3},{5,8}}=>[[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>[1,2,2,3] {{1,5},{2,4,7},{3},{6,8}}=>[[1,4,7],[2,5],[3,8],[6]]=>[6,3,8,2,5,1,4,7]=>[1,2,2,3] {{1,5,7},{2,4,6},{3},{8}}=>[[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>[1,1,3,3] {{1,5,7},{2,4},{3,6},{8}}=>[[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>[1,2,2,3] {{1},{2,6,8},{3,5},{4,7}}=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>[1,2,2,3] {{1},{2,4,6,8},{3,7},{5}}=>[[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>[1,1,2,4] {{1,6},{2,7},{3,5,8},{4}}=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>[1,2,2,3] {{1,3,5},{2,7},{4},{6,8}}=>[[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>[1,2,2,3] {{1,7},{2,6,8},{3,5},{4}}=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>[1,2,2,3] {{1,7},{2,6},{3,5,8},{4}}=>[[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>[1,2,2,3] {{1,2},{3,4,6},{5,8},{7}}=>[[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>[1,2,2,3] {{1,2},{3,6},{4,5,8},{7}}=>[[1,2,8],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2,8]=>[1,2,2,3] {{1,2},{3,5,6},{4,8},{7}}=>[[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>[1,2,2,3] {{1,2,5,6},{3},{4,8},{7}}=>[[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>[1,1,2,4] {{1,2,6},{3},{4,5,8},{7}}=>[[1,2,6],[3,5,8],[4],[7]]=>[7,4,3,5,8,1,2,6]=>[1,1,3,3] {{1,6},{2,3},{4,5,8},{7}}=>[[1,3,8],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3,8]=>[1,2,2,3] {{1,5,6},{2,3},{4,8},{7}}=>[[1,3,6],[2,5],[4,8],[7]]=>[7,4,8,2,5,1,3,6]=>[1,2,2,3] {{1,5,6},{2,3,8},{4},{7}}=>[[1,3,6],[2,5,8],[4],[7]]=>[7,4,2,5,8,1,3,6]=>[1,1,3,3] {{1,5,6},{2,8},{3,4},{7}}=>[[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>[1,2,2,3] {{1,5},{2,8},{3,4,6},{7}}=>[[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>[1,2,2,3] {{1,5},{2,3,8},{4,6},{7}}=>[[1,3,8],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3,8]=>[1,2,2,3] {{1,6},{2,3,5,8},{4},{7}}=>[[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>[1,1,2,4] {{1,2,5},{3,8},{4,6},{7}}=>[[1,2,5],[3,6],[4,8],[7]]=>[7,4,8,3,6,1,2,5]=>[1,2,2,3] {{1,2,4},{3,6},{5},{7,8}}=>[[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>[1,2,2,3] {{1,2,4,6},{3},{5,8},{7}}=>[[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>[1,1,2,4] {{1,2,4},{3,8},{5,7},{6}}=>[[1,2,4],[3,7],[5,8],[6]]=>[6,5,8,3,7,1,2,4]=>[1,2,2,3] {{1,2,4},{3,8},{5},{6,7}}=>[[1,2,4],[3,7],[5,8],[6]]=>[6,5,8,3,7,1,2,4]=>[1,2,2,3] {{1,4},{2,3,8},{5},{6,7}}=>[[1,3,8],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3,8]=>[1,2,2,3] {{1,3,4},{2,8},{5},{6,7}}=>[[1,3,4],[2,7],[5,8],[6]]=>[6,5,8,2,7,1,3,4]=>[1,2,2,3] {{1,3,4},{2,8},{5,7},{6}}=>[[1,3,4],[2,7],[5,8],[6]]=>[6,5,8,2,7,1,3,4]=>[1,2,2,3] {{1,4},{2,3,8},{5,7},{6}}=>[[1,3,8],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3,8]=>[1,2,2,3] {{1,4,6},{2,3},{5,8},{7}}=>[[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>[1,2,2,3] {{1,4},{2,3,6},{5},{7,8}}=>[[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>[1,2,2,3] {{1,4},{2,3,6,8},{5},{7}}=>[[1,3,6,8],[2,4],[5],[7]]=>[7,5,2,4,1,3,6,8]=>[1,1,2,4] {{1,4},{2,3,6},{5,8},{7}}=>[[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>[1,2,2,3] {{1,8},{2,4,5},{3,7},{6}}=>[[1,4,5],[2,7],[3,8],[6]]=>[6,3,8,2,7,1,4,5]=>[1,2,2,3] {{1,3,8},{2,6},{4,5},{7}}=>[[1,3,8],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3,8]=>[1,2,2,3] {{1,3,4},{2,6},{5},{7,8}}=>[[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>[1,2,2,3] {{1,6},{2,5,8},{3,4},{7}}=>[[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>[1,2,2,3] {{1,6},{2,4,5},{3,8},{7}}=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>[1,2,2,3] {{1,4,5},{2,8},{3,6},{7}}=>[[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>[1,2,2,3]
Map
Standard tableau associated to a set partition
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.
Map
reading word permutation
Description
Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottom-most row in English notation.
Map
descent composition
Description
The descent composition of a permutation.
The descent composition of a permutation $\pi$ of length $n$ is the integer composition of $n$ whose descent set equals the descent set of $\pi$. The descent set of a permutation $\pi$ is $\{i \mid 1 \leq i < n, \pi(i) > \pi(i+1)\}$. The descent set of a composition $c = (i_1, i_2, \ldots, i_k)$ is the set $\{ i_1, i_1 + i_2, i_1 + i_2 + i_3, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$.