Identifier
Mp00258: Set partitions —Standard tableau associated to a set partition⟶ Standard tableaux
Mp00083: Standard tableaux —shape⟶ Integer partitions
Images
=>
Cc0009;cc-rep-0Cc0007;cc-rep-1Cc0002;cc-rep-2
{{1}}=>[[1]]=>[1] {{1,2}}=>[[1,2]]=>[2] {{1},{2}}=>[[1],[2]]=>[1,1] {{1,2,3}}=>[[1,2,3]]=>[3] {{1,2},{3}}=>[[1,2],[3]]=>[2,1] {{1,3},{2}}=>[[1,3],[2]]=>[2,1] {{1},{2,3}}=>[[1,3],[2]]=>[2,1] {{1},{2},{3}}=>[[1],[2],[3]]=>[1,1,1] {{1,2,3,4}}=>[[1,2,3,4]]=>[4] {{1,2,3},{4}}=>[[1,2,3],[4]]=>[3,1] {{1,2,4},{3}}=>[[1,2,4],[3]]=>[3,1] {{1,2},{3,4}}=>[[1,2],[3,4]]=>[2,2] {{1,2},{3},{4}}=>[[1,2],[3],[4]]=>[2,1,1] {{1,3,4},{2}}=>[[1,3,4],[2]]=>[3,1] {{1,3},{2,4}}=>[[1,3],[2,4]]=>[2,2] {{1,3},{2},{4}}=>[[1,3],[2],[4]]=>[2,1,1] {{1,4},{2,3}}=>[[1,3],[2,4]]=>[2,2] {{1},{2,3,4}}=>[[1,3,4],[2]]=>[3,1] {{1},{2,3},{4}}=>[[1,3],[2],[4]]=>[2,1,1] {{1,4},{2},{3}}=>[[1,4],[2],[3]]=>[2,1,1] {{1},{2,4},{3}}=>[[1,4],[2],[3]]=>[2,1,1] {{1},{2},{3,4}}=>[[1,4],[2],[3]]=>[2,1,1] {{1},{2},{3},{4}}=>[[1],[2],[3],[4]]=>[1,1,1,1] {{1,2,3,4,5}}=>[[1,2,3,4,5]]=>[5] {{1,2,3,4},{5}}=>[[1,2,3,4],[5]]=>[4,1] {{1,2,3,5},{4}}=>[[1,2,3,5],[4]]=>[4,1] {{1,2,3},{4,5}}=>[[1,2,3],[4,5]]=>[3,2] {{1,2,3},{4},{5}}=>[[1,2,3],[4],[5]]=>[3,1,1] {{1,2,4,5},{3}}=>[[1,2,4,5],[3]]=>[4,1] {{1,2,4},{3,5}}=>[[1,2,4],[3,5]]=>[3,2] {{1,2,4},{3},{5}}=>[[1,2,4],[3],[5]]=>[3,1,1] {{1,2,5},{3,4}}=>[[1,2,5],[3,4]]=>[3,2] {{1,2},{3,4,5}}=>[[1,2,5],[3,4]]=>[3,2] {{1,2},{3,4},{5}}=>[[1,2],[3,4],[5]]=>[2,2,1] {{1,2,5},{3},{4}}=>[[1,2,5],[3],[4]]=>[3,1,1] {{1,2},{3,5},{4}}=>[[1,2],[3,5],[4]]=>[2,2,1] {{1,2},{3},{4,5}}=>[[1,2],[3,5],[4]]=>[2,2,1] {{1,2},{3},{4},{5}}=>[[1,2],[3],[4],[5]]=>[2,1,1,1] {{1,3,4,5},{2}}=>[[1,3,4,5],[2]]=>[4,1] {{1,3,4},{2,5}}=>[[1,3,4],[2,5]]=>[3,2] {{1,3,4},{2},{5}}=>[[1,3,4],[2],[5]]=>[3,1,1] {{1,3,5},{2,4}}=>[[1,3,5],[2,4]]=>[3,2] {{1,3},{2,4,5}}=>[[1,3,5],[2,4]]=>[3,2] {{1,3},{2,4},{5}}=>[[1,3],[2,4],[5]]=>[2,2,1] {{1,3,5},{2},{4}}=>[[1,3,5],[2],[4]]=>[3,1,1] {{1,3},{2,5},{4}}=>[[1,3],[2,5],[4]]=>[2,2,1] {{1,3},{2},{4,5}}=>[[1,3],[2,5],[4]]=>[2,2,1] {{1,3},{2},{4},{5}}=>[[1,3],[2],[4],[5]]=>[2,1,1,1] {{1,4,5},{2,3}}=>[[1,3,5],[2,4]]=>[3,2] {{1,4},{2,3,5}}=>[[1,3,5],[2,4]]=>[3,2] {{1,4},{2,3},{5}}=>[[1,3],[2,4],[5]]=>[2,2,1] {{1,5},{2,3,4}}=>[[1,3,4],[2,5]]=>[3,2] {{1},{2,3,4,5}}=>[[1,3,4,5],[2]]=>[4,1] {{1},{2,3,4},{5}}=>[[1,3,4],[2],[5]]=>[3,1,1] {{1,5},{2,3},{4}}=>[[1,3],[2,5],[4]]=>[2,2,1] {{1},{2,3,5},{4}}=>[[1,3,5],[2],[4]]=>[3,1,1] {{1},{2,3},{4,5}}=>[[1,3],[2,5],[4]]=>[2,2,1] {{1},{2,3},{4},{5}}=>[[1,3],[2],[4],[5]]=>[2,1,1,1] {{1,4,5},{2},{3}}=>[[1,4,5],[2],[3]]=>[3,1,1] {{1,4},{2,5},{3}}=>[[1,4],[2,5],[3]]=>[2,2,1] {{1,4},{2},{3,5}}=>[[1,4],[2,5],[3]]=>[2,2,1] {{1,4},{2},{3},{5}}=>[[1,4],[2],[3],[5]]=>[2,1,1,1] {{1,5},{2,4},{3}}=>[[1,4],[2,5],[3]]=>[2,2,1] {{1},{2,4,5},{3}}=>[[1,4,5],[2],[3]]=>[3,1,1] {{1},{2,4},{3,5}}=>[[1,4],[2,5],[3]]=>[2,2,1] {{1},{2,4},{3},{5}}=>[[1,4],[2],[3],[5]]=>[2,1,1,1] {{1,5},{2},{3,4}}=>[[1,4],[2,5],[3]]=>[2,2,1] {{1},{2,5},{3,4}}=>[[1,4],[2,5],[3]]=>[2,2,1] {{1},{2},{3,4,5}}=>[[1,4,5],[2],[3]]=>[3,1,1] {{1},{2},{3,4},{5}}=>[[1,4],[2],[3],[5]]=>[2,1,1,1] {{1,5},{2},{3},{4}}=>[[1,5],[2],[3],[4]]=>[2,1,1,1] {{1},{2,5},{3},{4}}=>[[1,5],[2],[3],[4]]=>[2,1,1,1] {{1},{2},{3,5},{4}}=>[[1,5],[2],[3],[4]]=>[2,1,1,1] {{1},{2},{3},{4,5}}=>[[1,5],[2],[3],[4]]=>[2,1,1,1] {{1},{2},{3},{4},{5}}=>[[1],[2],[3],[4],[5]]=>[1,1,1,1,1] {{1,2,3,4,5,6}}=>[[1,2,3,4,5,6]]=>[6] {{1,2,3,4,5},{6}}=>[[1,2,3,4,5],[6]]=>[5,1] {{1,2,3,4,6},{5}}=>[[1,2,3,4,6],[5]]=>[5,1] {{1,2,3,4},{5,6}}=>[[1,2,3,4],[5,6]]=>[4,2] {{1,2,3,4},{5},{6}}=>[[1,2,3,4],[5],[6]]=>[4,1,1] {{1,2,3,5,6},{4}}=>[[1,2,3,5,6],[4]]=>[5,1] {{1,2,3,5},{4,6}}=>[[1,2,3,5],[4,6]]=>[4,2] {{1,2,3,5},{4},{6}}=>[[1,2,3,5],[4],[6]]=>[4,1,1] {{1,2,3,6},{4,5}}=>[[1,2,3,6],[4,5]]=>[4,2] {{1,2,3},{4,5,6}}=>[[1,2,3],[4,5,6]]=>[3,3] {{1,2,3},{4,5},{6}}=>[[1,2,3],[4,5],[6]]=>[3,2,1] {{1,2,3,6},{4},{5}}=>[[1,2,3,6],[4],[5]]=>[4,1,1] {{1,2,3},{4,6},{5}}=>[[1,2,3],[4,6],[5]]=>[3,2,1] {{1,2,3},{4},{5,6}}=>[[1,2,3],[4,6],[5]]=>[3,2,1] {{1,2,3},{4},{5},{6}}=>[[1,2,3],[4],[5],[6]]=>[3,1,1,1] {{1,2,4,5,6},{3}}=>[[1,2,4,5,6],[3]]=>[5,1] {{1,2,4,5},{3,6}}=>[[1,2,4,5],[3,6]]=>[4,2] {{1,2,4,5},{3},{6}}=>[[1,2,4,5],[3],[6]]=>[4,1,1] {{1,2,4,6},{3,5}}=>[[1,2,4,6],[3,5]]=>[4,2] {{1,2,4},{3,5,6}}=>[[1,2,4],[3,5,6]]=>[3,3] {{1,2,4},{3,5},{6}}=>[[1,2,4],[3,5],[6]]=>[3,2,1] {{1,2,4,6},{3},{5}}=>[[1,2,4,6],[3],[5]]=>[4,1,1] {{1,2,4},{3,6},{5}}=>[[1,2,4],[3,6],[5]]=>[3,2,1] {{1,2,4},{3},{5,6}}=>[[1,2,4],[3,6],[5]]=>[3,2,1] {{1,2,4},{3},{5},{6}}=>[[1,2,4],[3],[5],[6]]=>[3,1,1,1] {{1,2,5,6},{3,4}}=>[[1,2,5,6],[3,4]]=>[4,2] {{1,2,5},{3,4,6}}=>[[1,2,5],[3,4,6]]=>[3,3] {{1,2,5},{3,4},{6}}=>[[1,2,5],[3,4],[6]]=>[3,2,1] {{1,2,6},{3,4,5}}=>[[1,2,5],[3,4,6]]=>[3,3] {{1,2},{3,4,5,6}}=>[[1,2,5,6],[3,4]]=>[4,2] {{1,2},{3,4,5},{6}}=>[[1,2,5],[3,4],[6]]=>[3,2,1] {{1,2,6},{3,4},{5}}=>[[1,2,6],[3,4],[5]]=>[3,2,1] {{1,2},{3,4,6},{5}}=>[[1,2,6],[3,4],[5]]=>[3,2,1] {{1,2},{3,4},{5,6}}=>[[1,2],[3,4],[5,6]]=>[2,2,2] {{1,2},{3,4},{5},{6}}=>[[1,2],[3,4],[5],[6]]=>[2,2,1,1] {{1,2,5,6},{3},{4}}=>[[1,2,5,6],[3],[4]]=>[4,1,1] {{1,2,5},{3,6},{4}}=>[[1,2,5],[3,6],[4]]=>[3,2,1] {{1,2,5},{3},{4,6}}=>[[1,2,5],[3,6],[4]]=>[3,2,1] {{1,2,5},{3},{4},{6}}=>[[1,2,5],[3],[4],[6]]=>[3,1,1,1] {{1,2,6},{3,5},{4}}=>[[1,2,6],[3,5],[4]]=>[3,2,1] {{1,2},{3,5,6},{4}}=>[[1,2,6],[3,5],[4]]=>[3,2,1] {{1,2},{3,5},{4,6}}=>[[1,2],[3,5],[4,6]]=>[2,2,2] {{1,2},{3,5},{4},{6}}=>[[1,2],[3,5],[4],[6]]=>[2,2,1,1] {{1,2,6},{3},{4,5}}=>[[1,2,6],[3,5],[4]]=>[3,2,1] {{1,2},{3,6},{4,5}}=>[[1,2],[3,5],[4,6]]=>[2,2,2] {{1,2},{3},{4,5,6}}=>[[1,2,6],[3,5],[4]]=>[3,2,1] {{1,2},{3},{4,5},{6}}=>[[1,2],[3,5],[4],[6]]=>[2,2,1,1] {{1,2,6},{3},{4},{5}}=>[[1,2,6],[3],[4],[5]]=>[3,1,1,1] {{1,2},{3,6},{4},{5}}=>[[1,2],[3,6],[4],[5]]=>[2,2,1,1] {{1,2},{3},{4,6},{5}}=>[[1,2],[3,6],[4],[5]]=>[2,2,1,1] {{1,2},{3},{4},{5,6}}=>[[1,2],[3,6],[4],[5]]=>[2,2,1,1] {{1,2},{3},{4},{5},{6}}=>[[1,2],[3],[4],[5],[6]]=>[2,1,1,1,1] {{1,3,4,5,6},{2}}=>[[1,3,4,5,6],[2]]=>[5,1] {{1,3,4,5},{2,6}}=>[[1,3,4,5],[2,6]]=>[4,2] {{1,3,4,5},{2},{6}}=>[[1,3,4,5],[2],[6]]=>[4,1,1] {{1,3,4,6},{2,5}}=>[[1,3,4,6],[2,5]]=>[4,2] {{1,3,4},{2,5,6}}=>[[1,3,4],[2,5,6]]=>[3,3] {{1,3,4},{2,5},{6}}=>[[1,3,4],[2,5],[6]]=>[3,2,1] {{1,3,4,6},{2},{5}}=>[[1,3,4,6],[2],[5]]=>[4,1,1] {{1,3,4},{2,6},{5}}=>[[1,3,4],[2,6],[5]]=>[3,2,1] {{1,3,4},{2},{5,6}}=>[[1,3,4],[2,6],[5]]=>[3,2,1] {{1,3,4},{2},{5},{6}}=>[[1,3,4],[2],[5],[6]]=>[3,1,1,1] {{1,3,5,6},{2,4}}=>[[1,3,5,6],[2,4]]=>[4,2] {{1,3,5},{2,4,6}}=>[[1,3,5],[2,4,6]]=>[3,3] {{1,3,5},{2,4},{6}}=>[[1,3,5],[2,4],[6]]=>[3,2,1] {{1,3,6},{2,4,5}}=>[[1,3,5],[2,4,6]]=>[3,3] {{1,3},{2,4,5,6}}=>[[1,3,5,6],[2,4]]=>[4,2] {{1,3},{2,4,5},{6}}=>[[1,3,5],[2,4],[6]]=>[3,2,1] {{1,3,6},{2,4},{5}}=>[[1,3,6],[2,4],[5]]=>[3,2,1] {{1,3},{2,4,6},{5}}=>[[1,3,6],[2,4],[5]]=>[3,2,1] {{1,3},{2,4},{5,6}}=>[[1,3],[2,4],[5,6]]=>[2,2,2] {{1,3},{2,4},{5},{6}}=>[[1,3],[2,4],[5],[6]]=>[2,2,1,1] {{1,3,5,6},{2},{4}}=>[[1,3,5,6],[2],[4]]=>[4,1,1] {{1,3,5},{2,6},{4}}=>[[1,3,5],[2,6],[4]]=>[3,2,1] {{1,3,5},{2},{4,6}}=>[[1,3,5],[2,6],[4]]=>[3,2,1] {{1,3,5},{2},{4},{6}}=>[[1,3,5],[2],[4],[6]]=>[3,1,1,1] {{1,3,6},{2,5},{4}}=>[[1,3,6],[2,5],[4]]=>[3,2,1] {{1,3},{2,5,6},{4}}=>[[1,3,6],[2,5],[4]]=>[3,2,1] {{1,3},{2,5},{4,6}}=>[[1,3],[2,5],[4,6]]=>[2,2,2] {{1,3},{2,5},{4},{6}}=>[[1,3],[2,5],[4],[6]]=>[2,2,1,1] {{1,3,6},{2},{4,5}}=>[[1,3,6],[2,5],[4]]=>[3,2,1] {{1,3},{2,6},{4,5}}=>[[1,3],[2,5],[4,6]]=>[2,2,2] {{1,3},{2},{4,5,6}}=>[[1,3,6],[2,5],[4]]=>[3,2,1] {{1,3},{2},{4,5},{6}}=>[[1,3],[2,5],[4],[6]]=>[2,2,1,1] {{1,3,6},{2},{4},{5}}=>[[1,3,6],[2],[4],[5]]=>[3,1,1,1] {{1,3},{2,6},{4},{5}}=>[[1,3],[2,6],[4],[5]]=>[2,2,1,1] {{1,3},{2},{4,6},{5}}=>[[1,3],[2,6],[4],[5]]=>[2,2,1,1] {{1,3},{2},{4},{5,6}}=>[[1,3],[2,6],[4],[5]]=>[2,2,1,1] {{1,3},{2},{4},{5},{6}}=>[[1,3],[2],[4],[5],[6]]=>[2,1,1,1,1] {{1,4,5,6},{2,3}}=>[[1,3,5,6],[2,4]]=>[4,2] {{1,4,5},{2,3,6}}=>[[1,3,5],[2,4,6]]=>[3,3] {{1,4,5},{2,3},{6}}=>[[1,3,5],[2,4],[6]]=>[3,2,1] {{1,4,6},{2,3,5}}=>[[1,3,5],[2,4,6]]=>[3,3] {{1,4},{2,3,5,6}}=>[[1,3,5,6],[2,4]]=>[4,2] {{1,4},{2,3,5},{6}}=>[[1,3,5],[2,4],[6]]=>[3,2,1] {{1,4,6},{2,3},{5}}=>[[1,3,6],[2,4],[5]]=>[3,2,1] {{1,4},{2,3,6},{5}}=>[[1,3,6],[2,4],[5]]=>[3,2,1] {{1,4},{2,3},{5,6}}=>[[1,3],[2,4],[5,6]]=>[2,2,2] {{1,4},{2,3},{5},{6}}=>[[1,3],[2,4],[5],[6]]=>[2,2,1,1] {{1,5,6},{2,3,4}}=>[[1,3,4],[2,5,6]]=>[3,3] {{1,5},{2,3,4,6}}=>[[1,3,4,6],[2,5]]=>[4,2] {{1,5},{2,3,4},{6}}=>[[1,3,4],[2,5],[6]]=>[3,2,1] {{1,6},{2,3,4,5}}=>[[1,3,4,5],[2,6]]=>[4,2] {{1},{2,3,4,5,6}}=>[[1,3,4,5,6],[2]]=>[5,1] {{1},{2,3,4,5},{6}}=>[[1,3,4,5],[2],[6]]=>[4,1,1] {{1,6},{2,3,4},{5}}=>[[1,3,4],[2,6],[5]]=>[3,2,1] {{1},{2,3,4,6},{5}}=>[[1,3,4,6],[2],[5]]=>[4,1,1] {{1},{2,3,4},{5,6}}=>[[1,3,4],[2,6],[5]]=>[3,2,1] {{1},{2,3,4},{5},{6}}=>[[1,3,4],[2],[5],[6]]=>[3,1,1,1] {{1,5,6},{2,3},{4}}=>[[1,3,6],[2,5],[4]]=>[3,2,1] {{1,5},{2,3,6},{4}}=>[[1,3,6],[2,5],[4]]=>[3,2,1] {{1,5},{2,3},{4,6}}=>[[1,3],[2,5],[4,6]]=>[2,2,2] {{1,5},{2,3},{4},{6}}=>[[1,3],[2,5],[4],[6]]=>[2,2,1,1] {{1,6},{2,3,5},{4}}=>[[1,3,5],[2,6],[4]]=>[3,2,1] {{1},{2,3,5,6},{4}}=>[[1,3,5,6],[2],[4]]=>[4,1,1] {{1},{2,3,5},{4,6}}=>[[1,3,5],[2,6],[4]]=>[3,2,1] {{1},{2,3,5},{4},{6}}=>[[1,3,5],[2],[4],[6]]=>[3,1,1,1] {{1,6},{2,3},{4,5}}=>[[1,3],[2,5],[4,6]]=>[2,2,2] {{1},{2,3,6},{4,5}}=>[[1,3,6],[2,5],[4]]=>[3,2,1] {{1},{2,3},{4,5,6}}=>[[1,3,6],[2,5],[4]]=>[3,2,1] {{1},{2,3},{4,5},{6}}=>[[1,3],[2,5],[4],[6]]=>[2,2,1,1] {{1,6},{2,3},{4},{5}}=>[[1,3],[2,6],[4],[5]]=>[2,2,1,1] {{1},{2,3,6},{4},{5}}=>[[1,3,6],[2],[4],[5]]=>[3,1,1,1] {{1},{2,3},{4,6},{5}}=>[[1,3],[2,6],[4],[5]]=>[2,2,1,1] {{1},{2,3},{4},{5,6}}=>[[1,3],[2,6],[4],[5]]=>[2,2,1,1] {{1},{2,3},{4},{5},{6}}=>[[1,3],[2],[4],[5],[6]]=>[2,1,1,1,1] {{1,4,5,6},{2},{3}}=>[[1,4,5,6],[2],[3]]=>[4,1,1] {{1,4,5},{2,6},{3}}=>[[1,4,5],[2,6],[3]]=>[3,2,1] {{1,4,5},{2},{3,6}}=>[[1,4,5],[2,6],[3]]=>[3,2,1] {{1,4,5},{2},{3},{6}}=>[[1,4,5],[2],[3],[6]]=>[3,1,1,1] {{1,4,6},{2,5},{3}}=>[[1,4,6],[2,5],[3]]=>[3,2,1] {{1,4},{2,5,6},{3}}=>[[1,4,6],[2,5],[3]]=>[3,2,1] {{1,4},{2,5},{3,6}}=>[[1,4],[2,5],[3,6]]=>[2,2,2] {{1,4},{2,5},{3},{6}}=>[[1,4],[2,5],[3],[6]]=>[2,2,1,1] {{1,4,6},{2},{3,5}}=>[[1,4,6],[2,5],[3]]=>[3,2,1] {{1,4},{2,6},{3,5}}=>[[1,4],[2,5],[3,6]]=>[2,2,2] {{1,4},{2},{3,5,6}}=>[[1,4,6],[2,5],[3]]=>[3,2,1] {{1,4},{2},{3,5},{6}}=>[[1,4],[2,5],[3],[6]]=>[2,2,1,1] {{1,4,6},{2},{3},{5}}=>[[1,4,6],[2],[3],[5]]=>[3,1,1,1] {{1,4},{2,6},{3},{5}}=>[[1,4],[2,6],[3],[5]]=>[2,2,1,1] {{1,4},{2},{3,6},{5}}=>[[1,4],[2,6],[3],[5]]=>[2,2,1,1] {{1,4},{2},{3},{5,6}}=>[[1,4],[2,6],[3],[5]]=>[2,2,1,1] {{1,4},{2},{3},{5},{6}}=>[[1,4],[2],[3],[5],[6]]=>[2,1,1,1,1] {{1,5,6},{2,4},{3}}=>[[1,4,6],[2,5],[3]]=>[3,2,1] {{1,5},{2,4,6},{3}}=>[[1,4,6],[2,5],[3]]=>[3,2,1] {{1,5},{2,4},{3,6}}=>[[1,4],[2,5],[3,6]]=>[2,2,2] {{1,5},{2,4},{3},{6}}=>[[1,4],[2,5],[3],[6]]=>[2,2,1,1] {{1,6},{2,4,5},{3}}=>[[1,4,5],[2,6],[3]]=>[3,2,1] {{1},{2,4,5,6},{3}}=>[[1,4,5,6],[2],[3]]=>[4,1,1] {{1},{2,4,5},{3,6}}=>[[1,4,5],[2,6],[3]]=>[3,2,1] {{1},{2,4,5},{3},{6}}=>[[1,4,5],[2],[3],[6]]=>[3,1,1,1] {{1,6},{2,4},{3,5}}=>[[1,4],[2,5],[3,6]]=>[2,2,2] {{1},{2,4,6},{3,5}}=>[[1,4,6],[2,5],[3]]=>[3,2,1] {{1},{2,4},{3,5,6}}=>[[1,4,6],[2,5],[3]]=>[3,2,1] {{1},{2,4},{3,5},{6}}=>[[1,4],[2,5],[3],[6]]=>[2,2,1,1] {{1,6},{2,4},{3},{5}}=>[[1,4],[2,6],[3],[5]]=>[2,2,1,1] {{1},{2,4,6},{3},{5}}=>[[1,4,6],[2],[3],[5]]=>[3,1,1,1] {{1},{2,4},{3,6},{5}}=>[[1,4],[2,6],[3],[5]]=>[2,2,1,1] {{1},{2,4},{3},{5,6}}=>[[1,4],[2,6],[3],[5]]=>[2,2,1,1] {{1},{2,4},{3},{5},{6}}=>[[1,4],[2],[3],[5],[6]]=>[2,1,1,1,1] {{1,5,6},{2},{3,4}}=>[[1,4,6],[2,5],[3]]=>[3,2,1] {{1,5},{2,6},{3,4}}=>[[1,4],[2,5],[3,6]]=>[2,2,2] {{1,5},{2},{3,4,6}}=>[[1,4,6],[2,5],[3]]=>[3,2,1] {{1,5},{2},{3,4},{6}}=>[[1,4],[2,5],[3],[6]]=>[2,2,1,1] {{1,6},{2,5},{3,4}}=>[[1,4],[2,5],[3,6]]=>[2,2,2] {{1},{2,5,6},{3,4}}=>[[1,4,6],[2,5],[3]]=>[3,2,1] {{1},{2,5},{3,4,6}}=>[[1,4,6],[2,5],[3]]=>[3,2,1] {{1},{2,5},{3,4},{6}}=>[[1,4],[2,5],[3],[6]]=>[2,2,1,1] {{1,6},{2},{3,4,5}}=>[[1,4,5],[2,6],[3]]=>[3,2,1] {{1},{2,6},{3,4,5}}=>[[1,4,5],[2,6],[3]]=>[3,2,1] {{1},{2},{3,4,5,6}}=>[[1,4,5,6],[2],[3]]=>[4,1,1] {{1},{2},{3,4,5},{6}}=>[[1,4,5],[2],[3],[6]]=>[3,1,1,1] {{1,6},{2},{3,4},{5}}=>[[1,4],[2,6],[3],[5]]=>[2,2,1,1] {{1},{2,6},{3,4},{5}}=>[[1,4],[2,6],[3],[5]]=>[2,2,1,1] {{1},{2},{3,4,6},{5}}=>[[1,4,6],[2],[3],[5]]=>[3,1,1,1] {{1},{2},{3,4},{5,6}}=>[[1,4],[2,6],[3],[5]]=>[2,2,1,1] {{1},{2},{3,4},{5},{6}}=>[[1,4],[2],[3],[5],[6]]=>[2,1,1,1,1] {{1,5,6},{2},{3},{4}}=>[[1,5,6],[2],[3],[4]]=>[3,1,1,1] {{1,5},{2,6},{3},{4}}=>[[1,5],[2,6],[3],[4]]=>[2,2,1,1] {{1,5},{2},{3,6},{4}}=>[[1,5],[2,6],[3],[4]]=>[2,2,1,1] {{1,5},{2},{3},{4,6}}=>[[1,5],[2,6],[3],[4]]=>[2,2,1,1] {{1,5},{2},{3},{4},{6}}=>[[1,5],[2],[3],[4],[6]]=>[2,1,1,1,1] {{1,6},{2,5},{3},{4}}=>[[1,5],[2,6],[3],[4]]=>[2,2,1,1] {{1},{2,5,6},{3},{4}}=>[[1,5,6],[2],[3],[4]]=>[3,1,1,1] {{1},{2,5},{3,6},{4}}=>[[1,5],[2,6],[3],[4]]=>[2,2,1,1] {{1},{2,5},{3},{4,6}}=>[[1,5],[2,6],[3],[4]]=>[2,2,1,1] {{1},{2,5},{3},{4},{6}}=>[[1,5],[2],[3],[4],[6]]=>[2,1,1,1,1] {{1,6},{2},{3,5},{4}}=>[[1,5],[2,6],[3],[4]]=>[2,2,1,1] {{1},{2,6},{3,5},{4}}=>[[1,5],[2,6],[3],[4]]=>[2,2,1,1] {{1},{2},{3,5,6},{4}}=>[[1,5,6],[2],[3],[4]]=>[3,1,1,1] {{1},{2},{3,5},{4,6}}=>[[1,5],[2,6],[3],[4]]=>[2,2,1,1] {{1},{2},{3,5},{4},{6}}=>[[1,5],[2],[3],[4],[6]]=>[2,1,1,1,1] {{1,6},{2},{3},{4,5}}=>[[1,5],[2,6],[3],[4]]=>[2,2,1,1] {{1},{2,6},{3},{4,5}}=>[[1,5],[2,6],[3],[4]]=>[2,2,1,1] {{1},{2},{3,6},{4,5}}=>[[1,5],[2,6],[3],[4]]=>[2,2,1,1] {{1},{2},{3},{4,5,6}}=>[[1,5,6],[2],[3],[4]]=>[3,1,1,1] {{1},{2},{3},{4,5},{6}}=>[[1,5],[2],[3],[4],[6]]=>[2,1,1,1,1] {{1,6},{2},{3},{4},{5}}=>[[1,6],[2],[3],[4],[5]]=>[2,1,1,1,1] {{1},{2,6},{3},{4},{5}}=>[[1,6],[2],[3],[4],[5]]=>[2,1,1,1,1] {{1},{2},{3,6},{4},{5}}=>[[1,6],[2],[3],[4],[5]]=>[2,1,1,1,1] {{1},{2},{3},{4,6},{5}}=>[[1,6],[2],[3],[4],[5]]=>[2,1,1,1,1] {{1},{2},{3},{4},{5,6}}=>[[1,6],[2],[3],[4],[5]]=>[2,1,1,1,1] {{1},{2},{3},{4},{5},{6}}=>[[1],[2],[3],[4],[5],[6]]=>[1,1,1,1,1,1] {{1,2,3,4,5,6,7}}=>[[1,2,3,4,5,6,7]]=>[7] {{1,2,3,4,5,6},{7}}=>[[1,2,3,4,5,6],[7]]=>[6,1] {{1,2,3,4,5,7},{6}}=>[[1,2,3,4,5,7],[6]]=>[6,1] {{1,2,3,4,5},{6,7}}=>[[1,2,3,4,5],[6,7]]=>[5,2] {{1,2,3,4,5},{6},{7}}=>[[1,2,3,4,5],[6],[7]]=>[5,1,1] {{1,2,3,4,6,7},{5}}=>[[1,2,3,4,6,7],[5]]=>[6,1] {{1,2,3,4,6},{5,7}}=>[[1,2,3,4,6],[5,7]]=>[5,2] {{1,2,3,4,6},{5},{7}}=>[[1,2,3,4,6],[5],[7]]=>[5,1,1] {{1,2,3,4,7},{5,6}}=>[[1,2,3,4,7],[5,6]]=>[5,2] {{1,2,3,4},{5,6,7}}=>[[1,2,3,4],[5,6,7]]=>[4,3] {{1,2,3,4},{5,6},{7}}=>[[1,2,3,4],[5,6],[7]]=>[4,2,1] {{1,2,3,4,7},{5},{6}}=>[[1,2,3,4,7],[5],[6]]=>[5,1,1] {{1,2,3,4},{5,7},{6}}=>[[1,2,3,4],[5,7],[6]]=>[4,2,1] {{1,2,3,4},{5},{6,7}}=>[[1,2,3,4],[5,7],[6]]=>[4,2,1] {{1,2,3,4},{5},{6},{7}}=>[[1,2,3,4],[5],[6],[7]]=>[4,1,1,1] {{1,2,3,5,6,7},{4}}=>[[1,2,3,5,6,7],[4]]=>[6,1] {{1,2,3,5,6},{4,7}}=>[[1,2,3,5,6],[4,7]]=>[5,2] {{1,2,3,5,6},{4},{7}}=>[[1,2,3,5,6],[4],[7]]=>[5,1,1] {{1,2,3,5,7},{4,6}}=>[[1,2,3,5,7],[4,6]]=>[5,2] {{1,2,3,5},{4,6,7}}=>[[1,2,3,5],[4,6,7]]=>[4,3] {{1,2,3,5},{4,6},{7}}=>[[1,2,3,5],[4,6],[7]]=>[4,2,1] {{1,2,3,5,7},{4},{6}}=>[[1,2,3,5,7],[4],[6]]=>[5,1,1] {{1,2,3,5},{4,7},{6}}=>[[1,2,3,5],[4,7],[6]]=>[4,2,1] {{1,2,3,5},{4},{6,7}}=>[[1,2,3,5],[4,7],[6]]=>[4,2,1] {{1,2,3,5},{4},{6},{7}}=>[[1,2,3,5],[4],[6],[7]]=>[4,1,1,1] {{1,2,3,6,7},{4,5}}=>[[1,2,3,6,7],[4,5]]=>[5,2] {{1,2,3,6},{4,5,7}}=>[[1,2,3,6],[4,5,7]]=>[4,3] {{1,2,3,6},{4,5},{7}}=>[[1,2,3,6],[4,5],[7]]=>[4,2,1] {{1,2,3,7},{4,5,6}}=>[[1,2,3,7],[4,5,6]]=>[4,3] {{1,2,3},{4,5,6,7}}=>[[1,2,3,7],[4,5,6]]=>[4,3] {{1,2,3},{4,5,6},{7}}=>[[1,2,3],[4,5,6],[7]]=>[3,3,1] {{1,2,3,7},{4,5},{6}}=>[[1,2,3,7],[4,5],[6]]=>[4,2,1] {{1,2,3},{4,5,7},{6}}=>[[1,2,3],[4,5,7],[6]]=>[3,3,1] {{1,2,3},{4,5},{6,7}}=>[[1,2,3],[4,5],[6,7]]=>[3,2,2] {{1,2,3},{4,5},{6},{7}}=>[[1,2,3],[4,5],[6],[7]]=>[3,2,1,1] {{1,2,3,6,7},{4},{5}}=>[[1,2,3,6,7],[4],[5]]=>[5,1,1] {{1,2,3,6},{4,7},{5}}=>[[1,2,3,6],[4,7],[5]]=>[4,2,1] {{1,2,3,6},{4},{5,7}}=>[[1,2,3,6],[4,7],[5]]=>[4,2,1] {{1,2,3,6},{4},{5},{7}}=>[[1,2,3,6],[4],[5],[7]]=>[4,1,1,1] {{1,2,3,7},{4,6},{5}}=>[[1,2,3,7],[4,6],[5]]=>[4,2,1] {{1,2,3},{4,6,7},{5}}=>[[1,2,3],[4,6,7],[5]]=>[3,3,1] {{1,2,3},{4,6},{5,7}}=>[[1,2,3],[4,6],[5,7]]=>[3,2,2] {{1,2,3},{4,6},{5},{7}}=>[[1,2,3],[4,6],[5],[7]]=>[3,2,1,1] {{1,2,3,7},{4},{5,6}}=>[[1,2,3,7],[4,6],[5]]=>[4,2,1] {{1,2,3},{4,7},{5,6}}=>[[1,2,3],[4,6],[5,7]]=>[3,2,2] {{1,2,3},{4},{5,6,7}}=>[[1,2,3],[4,6,7],[5]]=>[3,3,1] {{1,2,3},{4},{5,6},{7}}=>[[1,2,3],[4,6],[5],[7]]=>[3,2,1,1] {{1,2,3,7},{4},{5},{6}}=>[[1,2,3,7],[4],[5],[6]]=>[4,1,1,1] {{1,2,3},{4,7},{5},{6}}=>[[1,2,3],[4,7],[5],[6]]=>[3,2,1,1] {{1,2,3},{4},{5,7},{6}}=>[[1,2,3],[4,7],[5],[6]]=>[3,2,1,1] {{1,2,3},{4},{5},{6,7}}=>[[1,2,3],[4,7],[5],[6]]=>[3,2,1,1] {{1,2,3},{4},{5},{6},{7}}=>[[1,2,3],[4],[5],[6],[7]]=>[3,1,1,1,1] {{1,2,4,5,6,7},{3}}=>[[1,2,4,5,6,7],[3]]=>[6,1] {{1,2,4,5,6},{3,7}}=>[[1,2,4,5,6],[3,7]]=>[5,2] {{1,2,4,5,6},{3},{7}}=>[[1,2,4,5,6],[3],[7]]=>[5,1,1] {{1,2,4,5,7},{3,6}}=>[[1,2,4,5,7],[3,6]]=>[5,2] {{1,2,4,5},{3,6,7}}=>[[1,2,4,5],[3,6,7]]=>[4,3] {{1,2,4,5},{3,6},{7}}=>[[1,2,4,5],[3,6],[7]]=>[4,2,1] {{1,2,4,5,7},{3},{6}}=>[[1,2,4,5,7],[3],[6]]=>[5,1,1] {{1,2,4,5},{3,7},{6}}=>[[1,2,4,5],[3,7],[6]]=>[4,2,1] {{1,2,4,5},{3},{6,7}}=>[[1,2,4,5],[3,7],[6]]=>[4,2,1] {{1,2,4,5},{3},{6},{7}}=>[[1,2,4,5],[3],[6],[7]]=>[4,1,1,1] {{1,2,4,6,7},{3,5}}=>[[1,2,4,6,7],[3,5]]=>[5,2] {{1,2,4,6},{3,5,7}}=>[[1,2,4,6],[3,5,7]]=>[4,3] {{1,2,4,6},{3,5},{7}}=>[[1,2,4,6],[3,5],[7]]=>[4,2,1] {{1,2,4,7},{3,5,6}}=>[[1,2,4,7],[3,5,6]]=>[4,3] {{1,2,4},{3,5,6,7}}=>[[1,2,4,7],[3,5,6]]=>[4,3] {{1,2,4},{3,5,6},{7}}=>[[1,2,4],[3,5,6],[7]]=>[3,3,1] {{1,2,4,7},{3,5},{6}}=>[[1,2,4,7],[3,5],[6]]=>[4,2,1] {{1,2,4},{3,5,7},{6}}=>[[1,2,4],[3,5,7],[6]]=>[3,3,1] {{1,2,4},{3,5},{6,7}}=>[[1,2,4],[3,5],[6,7]]=>[3,2,2] {{1,2,4},{3,5},{6},{7}}=>[[1,2,4],[3,5],[6],[7]]=>[3,2,1,1] {{1,2,4,6,7},{3},{5}}=>[[1,2,4,6,7],[3],[5]]=>[5,1,1] {{1,2,4,6},{3,7},{5}}=>[[1,2,4,6],[3,7],[5]]=>[4,2,1] {{1,2,4,6},{3},{5,7}}=>[[1,2,4,6],[3,7],[5]]=>[4,2,1] {{1,2,4,6},{3},{5},{7}}=>[[1,2,4,6],[3],[5],[7]]=>[4,1,1,1] {{1,2,4,7},{3,6},{5}}=>[[1,2,4,7],[3,6],[5]]=>[4,2,1] {{1,2,4},{3,6,7},{5}}=>[[1,2,4],[3,6,7],[5]]=>[3,3,1] {{1,2,4},{3,6},{5,7}}=>[[1,2,4],[3,6],[5,7]]=>[3,2,2] {{1,2,4},{3,6},{5},{7}}=>[[1,2,4],[3,6],[5],[7]]=>[3,2,1,1] {{1,2,4,7},{3},{5,6}}=>[[1,2,4,7],[3,6],[5]]=>[4,2,1] {{1,2,4},{3,7},{5,6}}=>[[1,2,4],[3,6],[5,7]]=>[3,2,2] {{1,2,4},{3},{5,6,7}}=>[[1,2,4],[3,6,7],[5]]=>[3,3,1] {{1,2,4},{3},{5,6},{7}}=>[[1,2,4],[3,6],[5],[7]]=>[3,2,1,1] {{1,2,4,7},{3},{5},{6}}=>[[1,2,4,7],[3],[5],[6]]=>[4,1,1,1] {{1,2,4},{3,7},{5},{6}}=>[[1,2,4],[3,7],[5],[6]]=>[3,2,1,1] {{1,2,4},{3},{5,7},{6}}=>[[1,2,4],[3,7],[5],[6]]=>[3,2,1,1] {{1,2,4},{3},{5},{6,7}}=>[[1,2,4],[3,7],[5],[6]]=>[3,2,1,1] {{1,2,4},{3},{5},{6},{7}}=>[[1,2,4],[3],[5],[6],[7]]=>[3,1,1,1,1] {{1,2,5,6,7},{3,4}}=>[[1,2,5,6,7],[3,4]]=>[5,2] {{1,2,5,6},{3,4,7}}=>[[1,2,5,6],[3,4,7]]=>[4,3] {{1,2,5,6},{3,4},{7}}=>[[1,2,5,6],[3,4],[7]]=>[4,2,1] {{1,2,5,7},{3,4,6}}=>[[1,2,5,7],[3,4,6]]=>[4,3] {{1,2,5},{3,4,6,7}}=>[[1,2,5,7],[3,4,6]]=>[4,3] {{1,2,5},{3,4,6},{7}}=>[[1,2,5],[3,4,6],[7]]=>[3,3,1] {{1,2,5,7},{3,4},{6}}=>[[1,2,5,7],[3,4],[6]]=>[4,2,1] {{1,2,5},{3,4,7},{6}}=>[[1,2,5],[3,4,7],[6]]=>[3,3,1] {{1,2,5},{3,4},{6,7}}=>[[1,2,5],[3,4],[6,7]]=>[3,2,2] {{1,2,5},{3,4},{6},{7}}=>[[1,2,5],[3,4],[6],[7]]=>[3,2,1,1] {{1,2,6,7},{3,4,5}}=>[[1,2,5,7],[3,4,6]]=>[4,3] {{1,2,6},{3,4,5,7}}=>[[1,2,5,7],[3,4,6]]=>[4,3] {{1,2,6},{3,4,5},{7}}=>[[1,2,5],[3,4,6],[7]]=>[3,3,1] {{1,2,7},{3,4,5,6}}=>[[1,2,5,6],[3,4,7]]=>[4,3] {{1,2},{3,4,5,6,7}}=>[[1,2,5,6,7],[3,4]]=>[5,2] {{1,2},{3,4,5,6},{7}}=>[[1,2,5,6],[3,4],[7]]=>[4,2,1] {{1,2,7},{3,4,5},{6}}=>[[1,2,5],[3,4,7],[6]]=>[3,3,1] {{1,2},{3,4,5,7},{6}}=>[[1,2,5,7],[3,4],[6]]=>[4,2,1] {{1,2},{3,4,5},{6,7}}=>[[1,2,5],[3,4],[6,7]]=>[3,2,2] {{1,2},{3,4,5},{6},{7}}=>[[1,2,5],[3,4],[6],[7]]=>[3,2,1,1] {{1,2,6,7},{3,4},{5}}=>[[1,2,6,7],[3,4],[5]]=>[4,2,1] {{1,2,6},{3,4,7},{5}}=>[[1,2,6],[3,4,7],[5]]=>[3,3,1] {{1,2,6},{3,4},{5,7}}=>[[1,2,6],[3,4],[5,7]]=>[3,2,2] {{1,2,6},{3,4},{5},{7}}=>[[1,2,6],[3,4],[5],[7]]=>[3,2,1,1] {{1,2,7},{3,4,6},{5}}=>[[1,2,6],[3,4,7],[5]]=>[3,3,1] {{1,2},{3,4,6,7},{5}}=>[[1,2,6,7],[3,4],[5]]=>[4,2,1] {{1,2},{3,4,6},{5,7}}=>[[1,2,6],[3,4],[5,7]]=>[3,2,2] {{1,2},{3,4,6},{5},{7}}=>[[1,2,6],[3,4],[5],[7]]=>[3,2,1,1] {{1,2,7},{3,4},{5,6}}=>[[1,2,7],[3,4],[5,6]]=>[3,2,2] {{1,2},{3,4,7},{5,6}}=>[[1,2,7],[3,4],[5,6]]=>[3,2,2] {{1,2},{3,4},{5,6,7}}=>[[1,2,7],[3,4],[5,6]]=>[3,2,2] {{1,2},{3,4},{5,6},{7}}=>[[1,2],[3,4],[5,6],[7]]=>[2,2,2,1] {{1,2,7},{3,4},{5},{6}}=>[[1,2,7],[3,4],[5],[6]]=>[3,2,1,1] {{1,2},{3,4,7},{5},{6}}=>[[1,2,7],[3,4],[5],[6]]=>[3,2,1,1] {{1,2},{3,4},{5,7},{6}}=>[[1,2],[3,4],[5,7],[6]]=>[2,2,2,1] {{1,2},{3,4},{5},{6,7}}=>[[1,2],[3,4],[5,7],[6]]=>[2,2,2,1] {{1,2},{3,4},{5},{6},{7}}=>[[1,2],[3,4],[5],[6],[7]]=>[2,2,1,1,1] {{1,2,5,6,7},{3},{4}}=>[[1,2,5,6,7],[3],[4]]=>[5,1,1] {{1,2,5,6},{3,7},{4}}=>[[1,2,5,6],[3,7],[4]]=>[4,2,1] {{1,2,5,6},{3},{4,7}}=>[[1,2,5,6],[3,7],[4]]=>[4,2,1] {{1,2,5,6},{3},{4},{7}}=>[[1,2,5,6],[3],[4],[7]]=>[4,1,1,1] {{1,2,5,7},{3,6},{4}}=>[[1,2,5,7],[3,6],[4]]=>[4,2,1] {{1,2,5},{3,6,7},{4}}=>[[1,2,5],[3,6,7],[4]]=>[3,3,1] {{1,2,5},{3,6},{4,7}}=>[[1,2,5],[3,6],[4,7]]=>[3,2,2] {{1,2,5},{3,6},{4},{7}}=>[[1,2,5],[3,6],[4],[7]]=>[3,2,1,1] {{1,2,5,7},{3},{4,6}}=>[[1,2,5,7],[3,6],[4]]=>[4,2,1] {{1,2,5},{3,7},{4,6}}=>[[1,2,5],[3,6],[4,7]]=>[3,2,2] {{1,2,5},{3},{4,6,7}}=>[[1,2,5],[3,6,7],[4]]=>[3,3,1] {{1,2,5},{3},{4,6},{7}}=>[[1,2,5],[3,6],[4],[7]]=>[3,2,1,1] {{1,2,5,7},{3},{4},{6}}=>[[1,2,5,7],[3],[4],[6]]=>[4,1,1,1] {{1,2,5},{3,7},{4},{6}}=>[[1,2,5],[3,7],[4],[6]]=>[3,2,1,1] {{1,2,5},{3},{4,7},{6}}=>[[1,2,5],[3,7],[4],[6]]=>[3,2,1,1] {{1,2,5},{3},{4},{6,7}}=>[[1,2,5],[3,7],[4],[6]]=>[3,2,1,1] {{1,2,5},{3},{4},{6},{7}}=>[[1,2,5],[3],[4],[6],[7]]=>[3,1,1,1,1] {{1,2,6,7},{3,5},{4}}=>[[1,2,6,7],[3,5],[4]]=>[4,2,1] {{1,2,6},{3,5,7},{4}}=>[[1,2,6],[3,5,7],[4]]=>[3,3,1] {{1,2,6},{3,5},{4,7}}=>[[1,2,6],[3,5],[4,7]]=>[3,2,2] {{1,2,6},{3,5},{4},{7}}=>[[1,2,6],[3,5],[4],[7]]=>[3,2,1,1] {{1,2,7},{3,5,6},{4}}=>[[1,2,6],[3,5,7],[4]]=>[3,3,1] {{1,2},{3,5,6,7},{4}}=>[[1,2,6,7],[3,5],[4]]=>[4,2,1] {{1,2},{3,5,6},{4,7}}=>[[1,2,6],[3,5],[4,7]]=>[3,2,2] {{1,2},{3,5,6},{4},{7}}=>[[1,2,6],[3,5],[4],[7]]=>[3,2,1,1] {{1,2,7},{3,5},{4,6}}=>[[1,2,7],[3,5],[4,6]]=>[3,2,2] {{1,2},{3,5,7},{4,6}}=>[[1,2,7],[3,5],[4,6]]=>[3,2,2] {{1,2},{3,5},{4,6,7}}=>[[1,2,7],[3,5],[4,6]]=>[3,2,2] {{1,2},{3,5},{4,6},{7}}=>[[1,2],[3,5],[4,6],[7]]=>[2,2,2,1] {{1,2,7},{3,5},{4},{6}}=>[[1,2,7],[3,5],[4],[6]]=>[3,2,1,1] {{1,2},{3,5,7},{4},{6}}=>[[1,2,7],[3,5],[4],[6]]=>[3,2,1,1] {{1,2},{3,5},{4,7},{6}}=>[[1,2],[3,5],[4,7],[6]]=>[2,2,2,1] {{1,2},{3,5},{4},{6,7}}=>[[1,2],[3,5],[4,7],[6]]=>[2,2,2,1] {{1,2},{3,5},{4},{6},{7}}=>[[1,2],[3,5],[4],[6],[7]]=>[2,2,1,1,1] {{1,2,6,7},{3},{4,5}}=>[[1,2,6,7],[3,5],[4]]=>[4,2,1] {{1,2,6},{3,7},{4,5}}=>[[1,2,6],[3,5],[4,7]]=>[3,2,2] {{1,2,6},{3},{4,5,7}}=>[[1,2,6],[3,5,7],[4]]=>[3,3,1] {{1,2,6},{3},{4,5},{7}}=>[[1,2,6],[3,5],[4],[7]]=>[3,2,1,1] {{1,2,7},{3,6},{4,5}}=>[[1,2,7],[3,5],[4,6]]=>[3,2,2] {{1,2},{3,6,7},{4,5}}=>[[1,2,7],[3,5],[4,6]]=>[3,2,2] {{1,2},{3,6},{4,5,7}}=>[[1,2,7],[3,5],[4,6]]=>[3,2,2] {{1,2},{3,6},{4,5},{7}}=>[[1,2],[3,5],[4,6],[7]]=>[2,2,2,1] {{1,2,7},{3},{4,5,6}}=>[[1,2,6],[3,5,7],[4]]=>[3,3,1] {{1,2},{3,7},{4,5,6}}=>[[1,2,6],[3,5],[4,7]]=>[3,2,2] {{1,2},{3},{4,5,6,7}}=>[[1,2,6,7],[3,5],[4]]=>[4,2,1] {{1,2},{3},{4,5,6},{7}}=>[[1,2,6],[3,5],[4],[7]]=>[3,2,1,1] {{1,2,7},{3},{4,5},{6}}=>[[1,2,7],[3,5],[4],[6]]=>[3,2,1,1] {{1,2},{3,7},{4,5},{6}}=>[[1,2],[3,5],[4,7],[6]]=>[2,2,2,1] {{1,2},{3},{4,5,7},{6}}=>[[1,2,7],[3,5],[4],[6]]=>[3,2,1,1] {{1,2},{3},{4,5},{6,7}}=>[[1,2],[3,5],[4,7],[6]]=>[2,2,2,1] {{1,2},{3},{4,5},{6},{7}}=>[[1,2],[3,5],[4],[6],[7]]=>[2,2,1,1,1] {{1,2,6,7},{3},{4},{5}}=>[[1,2,6,7],[3],[4],[5]]=>[4,1,1,1] {{1,2,6},{3,7},{4},{5}}=>[[1,2,6],[3,7],[4],[5]]=>[3,2,1,1] {{1,2,6},{3},{4,7},{5}}=>[[1,2,6],[3,7],[4],[5]]=>[3,2,1,1] {{1,2,6},{3},{4},{5,7}}=>[[1,2,6],[3,7],[4],[5]]=>[3,2,1,1] {{1,2,6},{3},{4},{5},{7}}=>[[1,2,6],[3],[4],[5],[7]]=>[3,1,1,1,1] {{1,2,7},{3,6},{4},{5}}=>[[1,2,7],[3,6],[4],[5]]=>[3,2,1,1] {{1,2},{3,6,7},{4},{5}}=>[[1,2,7],[3,6],[4],[5]]=>[3,2,1,1] {{1,2},{3,6},{4,7},{5}}=>[[1,2],[3,6],[4,7],[5]]=>[2,2,2,1] {{1,2},{3,6},{4},{5,7}}=>[[1,2],[3,6],[4,7],[5]]=>[2,2,2,1] {{1,2},{3,6},{4},{5},{7}}=>[[1,2],[3,6],[4],[5],[7]]=>[2,2,1,1,1] {{1,2,7},{3},{4,6},{5}}=>[[1,2,7],[3,6],[4],[5]]=>[3,2,1,1] {{1,2},{3,7},{4,6},{5}}=>[[1,2],[3,6],[4,7],[5]]=>[2,2,2,1] {{1,2},{3},{4,6,7},{5}}=>[[1,2,7],[3,6],[4],[5]]=>[3,2,1,1] {{1,2},{3},{4,6},{5,7}}=>[[1,2],[3,6],[4,7],[5]]=>[2,2,2,1] {{1,2},{3},{4,6},{5},{7}}=>[[1,2],[3,6],[4],[5],[7]]=>[2,2,1,1,1] {{1,2,7},{3},{4},{5,6}}=>[[1,2,7],[3,6],[4],[5]]=>[3,2,1,1] {{1,2},{3,7},{4},{5,6}}=>[[1,2],[3,6],[4,7],[5]]=>[2,2,2,1] {{1,2},{3},{4,7},{5,6}}=>[[1,2],[3,6],[4,7],[5]]=>[2,2,2,1] {{1,2},{3},{4},{5,6,7}}=>[[1,2,7],[3,6],[4],[5]]=>[3,2,1,1] {{1,2},{3},{4},{5,6},{7}}=>[[1,2],[3,6],[4],[5],[7]]=>[2,2,1,1,1] {{1,2,7},{3},{4},{5},{6}}=>[[1,2,7],[3],[4],[5],[6]]=>[3,1,1,1,1] {{1,2},{3,7},{4},{5},{6}}=>[[1,2],[3,7],[4],[5],[6]]=>[2,2,1,1,1] {{1,2},{3},{4,7},{5},{6}}=>[[1,2],[3,7],[4],[5],[6]]=>[2,2,1,1,1] {{1,2},{3},{4},{5,7},{6}}=>[[1,2],[3,7],[4],[5],[6]]=>[2,2,1,1,1] {{1,2},{3},{4},{5},{6,7}}=>[[1,2],[3,7],[4],[5],[6]]=>[2,2,1,1,1] {{1,2},{3},{4},{5},{6},{7}}=>[[1,2],[3],[4],[5],[6],[7]]=>[2,1,1,1,1,1] {{1,3,4,5,6,7},{2}}=>[[1,3,4,5,6,7],[2]]=>[6,1] {{1,3,4,5,6},{2,7}}=>[[1,3,4,5,6],[2,7]]=>[5,2] {{1,3,4,5,6},{2},{7}}=>[[1,3,4,5,6],[2],[7]]=>[5,1,1] {{1,3,4,5,7},{2,6}}=>[[1,3,4,5,7],[2,6]]=>[5,2] {{1,3,4,5},{2,6,7}}=>[[1,3,4,5],[2,6,7]]=>[4,3] {{1,3,4,5},{2,6},{7}}=>[[1,3,4,5],[2,6],[7]]=>[4,2,1] {{1,3,4,5,7},{2},{6}}=>[[1,3,4,5,7],[2],[6]]=>[5,1,1] {{1,3,4,5},{2,7},{6}}=>[[1,3,4,5],[2,7],[6]]=>[4,2,1] {{1,3,4,5},{2},{6,7}}=>[[1,3,4,5],[2,7],[6]]=>[4,2,1] {{1,3,4,5},{2},{6},{7}}=>[[1,3,4,5],[2],[6],[7]]=>[4,1,1,1] {{1,3,4,6,7},{2,5}}=>[[1,3,4,6,7],[2,5]]=>[5,2] {{1,3,4,6},{2,5,7}}=>[[1,3,4,6],[2,5,7]]=>[4,3] {{1,3,4,6},{2,5},{7}}=>[[1,3,4,6],[2,5],[7]]=>[4,2,1] {{1,3,4,7},{2,5,6}}=>[[1,3,4,7],[2,5,6]]=>[4,3] {{1,3,4},{2,5,6,7}}=>[[1,3,4,7],[2,5,6]]=>[4,3] {{1,3,4},{2,5,6},{7}}=>[[1,3,4],[2,5,6],[7]]=>[3,3,1] {{1,3,4,7},{2,5},{6}}=>[[1,3,4,7],[2,5],[6]]=>[4,2,1] {{1,3,4},{2,5,7},{6}}=>[[1,3,4],[2,5,7],[6]]=>[3,3,1] {{1,3,4},{2,5},{6,7}}=>[[1,3,4],[2,5],[6,7]]=>[3,2,2] {{1,3,4},{2,5},{6},{7}}=>[[1,3,4],[2,5],[6],[7]]=>[3,2,1,1] {{1,3,4,6,7},{2},{5}}=>[[1,3,4,6,7],[2],[5]]=>[5,1,1] {{1,3,4,6},{2,7},{5}}=>[[1,3,4,6],[2,7],[5]]=>[4,2,1] {{1,3,4,6},{2},{5,7}}=>[[1,3,4,6],[2,7],[5]]=>[4,2,1] {{1,3,4,6},{2},{5},{7}}=>[[1,3,4,6],[2],[5],[7]]=>[4,1,1,1] {{1,3,4,7},{2,6},{5}}=>[[1,3,4,7],[2,6],[5]]=>[4,2,1] {{1,3,4},{2,6,7},{5}}=>[[1,3,4],[2,6,7],[5]]=>[3,3,1] {{1,3,4},{2,6},{5,7}}=>[[1,3,4],[2,6],[5,7]]=>[3,2,2] {{1,3,4},{2,6},{5},{7}}=>[[1,3,4],[2,6],[5],[7]]=>[3,2,1,1] {{1,3,4,7},{2},{5,6}}=>[[1,3,4,7],[2,6],[5]]=>[4,2,1] {{1,3,4},{2,7},{5,6}}=>[[1,3,4],[2,6],[5,7]]=>[3,2,2] {{1,3,4},{2},{5,6,7}}=>[[1,3,4],[2,6,7],[5]]=>[3,3,1] {{1,3,4},{2},{5,6},{7}}=>[[1,3,4],[2,6],[5],[7]]=>[3,2,1,1] {{1,3,4,7},{2},{5},{6}}=>[[1,3,4,7],[2],[5],[6]]=>[4,1,1,1] {{1,3,4},{2,7},{5},{6}}=>[[1,3,4],[2,7],[5],[6]]=>[3,2,1,1] {{1,3,4},{2},{5,7},{6}}=>[[1,3,4],[2,7],[5],[6]]=>[3,2,1,1] {{1,3,4},{2},{5},{6,7}}=>[[1,3,4],[2,7],[5],[6]]=>[3,2,1,1] {{1,3,4},{2},{5},{6},{7}}=>[[1,3,4],[2],[5],[6],[7]]=>[3,1,1,1,1] {{1,3,5,6,7},{2,4}}=>[[1,3,5,6,7],[2,4]]=>[5,2] {{1,3,5,6},{2,4,7}}=>[[1,3,5,6],[2,4,7]]=>[4,3] {{1,3,5,6},{2,4},{7}}=>[[1,3,5,6],[2,4],[7]]=>[4,2,1] {{1,3,5,7},{2,4,6}}=>[[1,3,5,7],[2,4,6]]=>[4,3] {{1,3,5},{2,4,6,7}}=>[[1,3,5,7],[2,4,6]]=>[4,3] {{1,3,5},{2,4,6},{7}}=>[[1,3,5],[2,4,6],[7]]=>[3,3,1] {{1,3,5,7},{2,4},{6}}=>[[1,3,5,7],[2,4],[6]]=>[4,2,1] {{1,3,5},{2,4,7},{6}}=>[[1,3,5],[2,4,7],[6]]=>[3,3,1] {{1,3,5},{2,4},{6,7}}=>[[1,3,5],[2,4],[6,7]]=>[3,2,2] {{1,3,5},{2,4},{6},{7}}=>[[1,3,5],[2,4],[6],[7]]=>[3,2,1,1] {{1,3,6,7},{2,4,5}}=>[[1,3,5,7],[2,4,6]]=>[4,3] {{1,3,6},{2,4,5,7}}=>[[1,3,5,7],[2,4,6]]=>[4,3] {{1,3,6},{2,4,5},{7}}=>[[1,3,5],[2,4,6],[7]]=>[3,3,1] {{1,3,7},{2,4,5,6}}=>[[1,3,5,6],[2,4,7]]=>[4,3] {{1,3},{2,4,5,6,7}}=>[[1,3,5,6,7],[2,4]]=>[5,2] {{1,3},{2,4,5,6},{7}}=>[[1,3,5,6],[2,4],[7]]=>[4,2,1] {{1,3,7},{2,4,5},{6}}=>[[1,3,5],[2,4,7],[6]]=>[3,3,1] {{1,3},{2,4,5,7},{6}}=>[[1,3,5,7],[2,4],[6]]=>[4,2,1] {{1,3},{2,4,5},{6,7}}=>[[1,3,5],[2,4],[6,7]]=>[3,2,2] {{1,3},{2,4,5},{6},{7}}=>[[1,3,5],[2,4],[6],[7]]=>[3,2,1,1] {{1,3,6,7},{2,4},{5}}=>[[1,3,6,7],[2,4],[5]]=>[4,2,1] {{1,3,6},{2,4,7},{5}}=>[[1,3,6],[2,4,7],[5]]=>[3,3,1] {{1,3,6},{2,4},{5,7}}=>[[1,3,6],[2,4],[5,7]]=>[3,2,2] {{1,3,6},{2,4},{5},{7}}=>[[1,3,6],[2,4],[5],[7]]=>[3,2,1,1] {{1,3,7},{2,4,6},{5}}=>[[1,3,6],[2,4,7],[5]]=>[3,3,1] {{1,3},{2,4,6,7},{5}}=>[[1,3,6,7],[2,4],[5]]=>[4,2,1] {{1,3},{2,4,6},{5,7}}=>[[1,3,6],[2,4],[5,7]]=>[3,2,2] {{1,3},{2,4,6},{5},{7}}=>[[1,3,6],[2,4],[5],[7]]=>[3,2,1,1] {{1,3,7},{2,4},{5,6}}=>[[1,3,7],[2,4],[5,6]]=>[3,2,2] {{1,3},{2,4,7},{5,6}}=>[[1,3,7],[2,4],[5,6]]=>[3,2,2] {{1,3},{2,4},{5,6,7}}=>[[1,3,7],[2,4],[5,6]]=>[3,2,2] {{1,3},{2,4},{5,6},{7}}=>[[1,3],[2,4],[5,6],[7]]=>[2,2,2,1] {{1,3,7},{2,4},{5},{6}}=>[[1,3,7],[2,4],[5],[6]]=>[3,2,1,1] {{1,3},{2,4,7},{5},{6}}=>[[1,3,7],[2,4],[5],[6]]=>[3,2,1,1] {{1,3},{2,4},{5,7},{6}}=>[[1,3],[2,4],[5,7],[6]]=>[2,2,2,1] {{1,3},{2,4},{5},{6,7}}=>[[1,3],[2,4],[5,7],[6]]=>[2,2,2,1] {{1,3},{2,4},{5},{6},{7}}=>[[1,3],[2,4],[5],[6],[7]]=>[2,2,1,1,1] {{1,3,5,6,7},{2},{4}}=>[[1,3,5,6,7],[2],[4]]=>[5,1,1] {{1,3,5,6},{2,7},{4}}=>[[1,3,5,6],[2,7],[4]]=>[4,2,1] {{1,3,5,6},{2},{4,7}}=>[[1,3,5,6],[2,7],[4]]=>[4,2,1] {{1,3,5,6},{2},{4},{7}}=>[[1,3,5,6],[2],[4],[7]]=>[4,1,1,1] {{1,3,5,7},{2,6},{4}}=>[[1,3,5,7],[2,6],[4]]=>[4,2,1] {{1,3,5},{2,6,7},{4}}=>[[1,3,5],[2,6,7],[4]]=>[3,3,1] {{1,3,5},{2,6},{4,7}}=>[[1,3,5],[2,6],[4,7]]=>[3,2,2] {{1,3,5},{2,6},{4},{7}}=>[[1,3,5],[2,6],[4],[7]]=>[3,2,1,1] {{1,3,5,7},{2},{4,6}}=>[[1,3,5,7],[2,6],[4]]=>[4,2,1] {{1,3,5},{2,7},{4,6}}=>[[1,3,5],[2,6],[4,7]]=>[3,2,2] {{1,3,5},{2},{4,6,7}}=>[[1,3,5],[2,6,7],[4]]=>[3,3,1] {{1,3,5},{2},{4,6},{7}}=>[[1,3,5],[2,6],[4],[7]]=>[3,2,1,1] {{1,3,5,7},{2},{4},{6}}=>[[1,3,5,7],[2],[4],[6]]=>[4,1,1,1] {{1,3,5},{2,7},{4},{6}}=>[[1,3,5],[2,7],[4],[6]]=>[3,2,1,1] {{1,3,5},{2},{4,7},{6}}=>[[1,3,5],[2,7],[4],[6]]=>[3,2,1,1] {{1,3,5},{2},{4},{6,7}}=>[[1,3,5],[2,7],[4],[6]]=>[3,2,1,1] {{1,3,5},{2},{4},{6},{7}}=>[[1,3,5],[2],[4],[6],[7]]=>[3,1,1,1,1] {{1,3,6,7},{2,5},{4}}=>[[1,3,6,7],[2,5],[4]]=>[4,2,1] {{1,3,6},{2,5,7},{4}}=>[[1,3,6],[2,5,7],[4]]=>[3,3,1] {{1,3,6},{2,5},{4,7}}=>[[1,3,6],[2,5],[4,7]]=>[3,2,2] {{1,3,6},{2,5},{4},{7}}=>[[1,3,6],[2,5],[4],[7]]=>[3,2,1,1] {{1,3,7},{2,5,6},{4}}=>[[1,3,6],[2,5,7],[4]]=>[3,3,1] {{1,3},{2,5,6,7},{4}}=>[[1,3,6,7],[2,5],[4]]=>[4,2,1] {{1,3},{2,5,6},{4,7}}=>[[1,3,6],[2,5],[4,7]]=>[3,2,2] {{1,3},{2,5,6},{4},{7}}=>[[1,3,6],[2,5],[4],[7]]=>[3,2,1,1] {{1,3,7},{2,5},{4,6}}=>[[1,3,7],[2,5],[4,6]]=>[3,2,2] {{1,3},{2,5,7},{4,6}}=>[[1,3,7],[2,5],[4,6]]=>[3,2,2] {{1,3},{2,5},{4,6,7}}=>[[1,3,7],[2,5],[4,6]]=>[3,2,2] {{1,3},{2,5},{4,6},{7}}=>[[1,3],[2,5],[4,6],[7]]=>[2,2,2,1] {{1,3,7},{2,5},{4},{6}}=>[[1,3,7],[2,5],[4],[6]]=>[3,2,1,1] {{1,3},{2,5,7},{4},{6}}=>[[1,3,7],[2,5],[4],[6]]=>[3,2,1,1] {{1,3},{2,5},{4,7},{6}}=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1] {{1,3},{2,5},{4},{6,7}}=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1] {{1,3},{2,5},{4},{6},{7}}=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,1,1,1] {{1,3,6,7},{2},{4,5}}=>[[1,3,6,7],[2,5],[4]]=>[4,2,1] {{1,3,6},{2,7},{4,5}}=>[[1,3,6],[2,5],[4,7]]=>[3,2,2] {{1,3,6},{2},{4,5,7}}=>[[1,3,6],[2,5,7],[4]]=>[3,3,1] {{1,3,6},{2},{4,5},{7}}=>[[1,3,6],[2,5],[4],[7]]=>[3,2,1,1] {{1,3,7},{2,6},{4,5}}=>[[1,3,7],[2,5],[4,6]]=>[3,2,2] {{1,3},{2,6,7},{4,5}}=>[[1,3,7],[2,5],[4,6]]=>[3,2,2] {{1,3},{2,6},{4,5,7}}=>[[1,3,7],[2,5],[4,6]]=>[3,2,2] {{1,3},{2,6},{4,5},{7}}=>[[1,3],[2,5],[4,6],[7]]=>[2,2,2,1] {{1,3,7},{2},{4,5,6}}=>[[1,3,6],[2,5,7],[4]]=>[3,3,1] {{1,3},{2,7},{4,5,6}}=>[[1,3,6],[2,5],[4,7]]=>[3,2,2] {{1,3},{2},{4,5,6,7}}=>[[1,3,6,7],[2,5],[4]]=>[4,2,1] {{1,3},{2},{4,5,6},{7}}=>[[1,3,6],[2,5],[4],[7]]=>[3,2,1,1] {{1,3,7},{2},{4,5},{6}}=>[[1,3,7],[2,5],[4],[6]]=>[3,2,1,1] {{1,3},{2,7},{4,5},{6}}=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1] {{1,3},{2},{4,5,7},{6}}=>[[1,3,7],[2,5],[4],[6]]=>[3,2,1,1] {{1,3},{2},{4,5},{6,7}}=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1] {{1,3},{2},{4,5},{6},{7}}=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,1,1,1] {{1,3,6,7},{2},{4},{5}}=>[[1,3,6,7],[2],[4],[5]]=>[4,1,1,1] {{1,3,6},{2,7},{4},{5}}=>[[1,3,6],[2,7],[4],[5]]=>[3,2,1,1] {{1,3,6},{2},{4,7},{5}}=>[[1,3,6],[2,7],[4],[5]]=>[3,2,1,1] {{1,3,6},{2},{4},{5,7}}=>[[1,3,6],[2,7],[4],[5]]=>[3,2,1,1] {{1,3,6},{2},{4},{5},{7}}=>[[1,3,6],[2],[4],[5],[7]]=>[3,1,1,1,1] {{1,3,7},{2,6},{4},{5}}=>[[1,3,7],[2,6],[4],[5]]=>[3,2,1,1] {{1,3},{2,6,7},{4},{5}}=>[[1,3,7],[2,6],[4],[5]]=>[3,2,1,1] {{1,3},{2,6},{4,7},{5}}=>[[1,3],[2,6],[4,7],[5]]=>[2,2,2,1] {{1,3},{2,6},{4},{5,7}}=>[[1,3],[2,6],[4,7],[5]]=>[2,2,2,1] {{1,3},{2,6},{4},{5},{7}}=>[[1,3],[2,6],[4],[5],[7]]=>[2,2,1,1,1] {{1,3,7},{2},{4,6},{5}}=>[[1,3,7],[2,6],[4],[5]]=>[3,2,1,1] {{1,3},{2,7},{4,6},{5}}=>[[1,3],[2,6],[4,7],[5]]=>[2,2,2,1] {{1,3},{2},{4,6,7},{5}}=>[[1,3,7],[2,6],[4],[5]]=>[3,2,1,1] {{1,3},{2},{4,6},{5,7}}=>[[1,3],[2,6],[4,7],[5]]=>[2,2,2,1] {{1,3},{2},{4,6},{5},{7}}=>[[1,3],[2,6],[4],[5],[7]]=>[2,2,1,1,1] {{1,3,7},{2},{4},{5,6}}=>[[1,3,7],[2,6],[4],[5]]=>[3,2,1,1] {{1,3},{2,7},{4},{5,6}}=>[[1,3],[2,6],[4,7],[5]]=>[2,2,2,1] {{1,3},{2},{4,7},{5,6}}=>[[1,3],[2,6],[4,7],[5]]=>[2,2,2,1] {{1,3},{2},{4},{5,6,7}}=>[[1,3,7],[2,6],[4],[5]]=>[3,2,1,1] {{1,3},{2},{4},{5,6},{7}}=>[[1,3],[2,6],[4],[5],[7]]=>[2,2,1,1,1] {{1,3,7},{2},{4},{5},{6}}=>[[1,3,7],[2],[4],[5],[6]]=>[3,1,1,1,1] {{1,3},{2,7},{4},{5},{6}}=>[[1,3],[2,7],[4],[5],[6]]=>[2,2,1,1,1] {{1,3},{2},{4,7},{5},{6}}=>[[1,3],[2,7],[4],[5],[6]]=>[2,2,1,1,1] {{1,3},{2},{4},{5,7},{6}}=>[[1,3],[2,7],[4],[5],[6]]=>[2,2,1,1,1] {{1,3},{2},{4},{5},{6,7}}=>[[1,3],[2,7],[4],[5],[6]]=>[2,2,1,1,1] {{1,3},{2},{4},{5},{6},{7}}=>[[1,3],[2],[4],[5],[6],[7]]=>[2,1,1,1,1,1] {{1,4,5,6,7},{2,3}}=>[[1,3,5,6,7],[2,4]]=>[5,2] {{1,4,5,6},{2,3,7}}=>[[1,3,5,6],[2,4,7]]=>[4,3] {{1,4,5,6},{2,3},{7}}=>[[1,3,5,6],[2,4],[7]]=>[4,2,1] {{1,4,5,7},{2,3,6}}=>[[1,3,5,7],[2,4,6]]=>[4,3] {{1,4,5},{2,3,6,7}}=>[[1,3,5,7],[2,4,6]]=>[4,3] {{1,4,5},{2,3,6},{7}}=>[[1,3,5],[2,4,6],[7]]=>[3,3,1] {{1,4,5,7},{2,3},{6}}=>[[1,3,5,7],[2,4],[6]]=>[4,2,1] {{1,4,5},{2,3,7},{6}}=>[[1,3,5],[2,4,7],[6]]=>[3,3,1] {{1,4,5},{2,3},{6,7}}=>[[1,3,5],[2,4],[6,7]]=>[3,2,2] {{1,4,5},{2,3},{6},{7}}=>[[1,3,5],[2,4],[6],[7]]=>[3,2,1,1] {{1,4,6,7},{2,3,5}}=>[[1,3,5,7],[2,4,6]]=>[4,3] {{1,4,6},{2,3,5,7}}=>[[1,3,5,7],[2,4,6]]=>[4,3] {{1,4,6},{2,3,5},{7}}=>[[1,3,5],[2,4,6],[7]]=>[3,3,1] {{1,4,7},{2,3,5,6}}=>[[1,3,5,6],[2,4,7]]=>[4,3] {{1,4},{2,3,5,6,7}}=>[[1,3,5,6,7],[2,4]]=>[5,2] {{1,4},{2,3,5,6},{7}}=>[[1,3,5,6],[2,4],[7]]=>[4,2,1] {{1,4,7},{2,3,5},{6}}=>[[1,3,5],[2,4,7],[6]]=>[3,3,1] {{1,4},{2,3,5,7},{6}}=>[[1,3,5,7],[2,4],[6]]=>[4,2,1] {{1,4},{2,3,5},{6,7}}=>[[1,3,5],[2,4],[6,7]]=>[3,2,2] {{1,4},{2,3,5},{6},{7}}=>[[1,3,5],[2,4],[6],[7]]=>[3,2,1,1] {{1,4,6,7},{2,3},{5}}=>[[1,3,6,7],[2,4],[5]]=>[4,2,1] {{1,4,6},{2,3,7},{5}}=>[[1,3,6],[2,4,7],[5]]=>[3,3,1] {{1,4,6},{2,3},{5,7}}=>[[1,3,6],[2,4],[5,7]]=>[3,2,2] {{1,4,6},{2,3},{5},{7}}=>[[1,3,6],[2,4],[5],[7]]=>[3,2,1,1] {{1,4,7},{2,3,6},{5}}=>[[1,3,6],[2,4,7],[5]]=>[3,3,1] {{1,4},{2,3,6,7},{5}}=>[[1,3,6,7],[2,4],[5]]=>[4,2,1] {{1,4},{2,3,6},{5,7}}=>[[1,3,6],[2,4],[5,7]]=>[3,2,2] {{1,4},{2,3,6},{5},{7}}=>[[1,3,6],[2,4],[5],[7]]=>[3,2,1,1] {{1,4,7},{2,3},{5,6}}=>[[1,3,7],[2,4],[5,6]]=>[3,2,2] {{1,4},{2,3,7},{5,6}}=>[[1,3,7],[2,4],[5,6]]=>[3,2,2] {{1,4},{2,3},{5,6,7}}=>[[1,3,7],[2,4],[5,6]]=>[3,2,2] {{1,4},{2,3},{5,6},{7}}=>[[1,3],[2,4],[5,6],[7]]=>[2,2,2,1] {{1,4,7},{2,3},{5},{6}}=>[[1,3,7],[2,4],[5],[6]]=>[3,2,1,1] {{1,4},{2,3,7},{5},{6}}=>[[1,3,7],[2,4],[5],[6]]=>[3,2,1,1] {{1,4},{2,3},{5,7},{6}}=>[[1,3],[2,4],[5,7],[6]]=>[2,2,2,1] {{1,4},{2,3},{5},{6,7}}=>[[1,3],[2,4],[5,7],[6]]=>[2,2,2,1] {{1,4},{2,3},{5},{6},{7}}=>[[1,3],[2,4],[5],[6],[7]]=>[2,2,1,1,1] {{1,5,6,7},{2,3,4}}=>[[1,3,4,7],[2,5,6]]=>[4,3] {{1,5,6},{2,3,4,7}}=>[[1,3,4,7],[2,5,6]]=>[4,3] {{1,5,6},{2,3,4},{7}}=>[[1,3,4],[2,5,6],[7]]=>[3,3,1] {{1,5,7},{2,3,4,6}}=>[[1,3,4,6],[2,5,7]]=>[4,3] {{1,5},{2,3,4,6,7}}=>[[1,3,4,6,7],[2,5]]=>[5,2] {{1,5},{2,3,4,6},{7}}=>[[1,3,4,6],[2,5],[7]]=>[4,2,1] {{1,5,7},{2,3,4},{6}}=>[[1,3,4],[2,5,7],[6]]=>[3,3,1] {{1,5},{2,3,4,7},{6}}=>[[1,3,4,7],[2,5],[6]]=>[4,2,1] {{1,5},{2,3,4},{6,7}}=>[[1,3,4],[2,5],[6,7]]=>[3,2,2] {{1,5},{2,3,4},{6},{7}}=>[[1,3,4],[2,5],[6],[7]]=>[3,2,1,1] {{1,6,7},{2,3,4,5}}=>[[1,3,4,5],[2,6,7]]=>[4,3] {{1,6},{2,3,4,5,7}}=>[[1,3,4,5,7],[2,6]]=>[5,2] {{1,6},{2,3,4,5},{7}}=>[[1,3,4,5],[2,6],[7]]=>[4,2,1] {{1,7},{2,3,4,5,6}}=>[[1,3,4,5,6],[2,7]]=>[5,2] {{1},{2,3,4,5,6,7}}=>[[1,3,4,5,6,7],[2]]=>[6,1] {{1},{2,3,4,5,6},{7}}=>[[1,3,4,5,6],[2],[7]]=>[5,1,1] {{1,7},{2,3,4,5},{6}}=>[[1,3,4,5],[2,7],[6]]=>[4,2,1] {{1},{2,3,4,5,7},{6}}=>[[1,3,4,5,7],[2],[6]]=>[5,1,1] {{1},{2,3,4,5},{6,7}}=>[[1,3,4,5],[2,7],[6]]=>[4,2,1] {{1},{2,3,4,5},{6},{7}}=>[[1,3,4,5],[2],[6],[7]]=>[4,1,1,1] {{1,6,7},{2,3,4},{5}}=>[[1,3,4],[2,6,7],[5]]=>[3,3,1] {{1,6},{2,3,4,7},{5}}=>[[1,3,4,7],[2,6],[5]]=>[4,2,1] {{1,6},{2,3,4},{5,7}}=>[[1,3,4],[2,6],[5,7]]=>[3,2,2] {{1,6},{2,3,4},{5},{7}}=>[[1,3,4],[2,6],[5],[7]]=>[3,2,1,1] {{1,7},{2,3,4,6},{5}}=>[[1,3,4,6],[2,7],[5]]=>[4,2,1] {{1},{2,3,4,6,7},{5}}=>[[1,3,4,6,7],[2],[5]]=>[5,1,1] {{1},{2,3,4,6},{5,7}}=>[[1,3,4,6],[2,7],[5]]=>[4,2,1] {{1},{2,3,4,6},{5},{7}}=>[[1,3,4,6],[2],[5],[7]]=>[4,1,1,1] {{1,7},{2,3,4},{5,6}}=>[[1,3,4],[2,6],[5,7]]=>[3,2,2] {{1},{2,3,4,7},{5,6}}=>[[1,3,4,7],[2,6],[5]]=>[4,2,1] {{1},{2,3,4},{5,6,7}}=>[[1,3,4],[2,6,7],[5]]=>[3,3,1] {{1},{2,3,4},{5,6},{7}}=>[[1,3,4],[2,6],[5],[7]]=>[3,2,1,1] {{1,7},{2,3,4},{5},{6}}=>[[1,3,4],[2,7],[5],[6]]=>[3,2,1,1] {{1},{2,3,4,7},{5},{6}}=>[[1,3,4,7],[2],[5],[6]]=>[4,1,1,1] {{1},{2,3,4},{5,7},{6}}=>[[1,3,4],[2,7],[5],[6]]=>[3,2,1,1] {{1},{2,3,4},{5},{6,7}}=>[[1,3,4],[2,7],[5],[6]]=>[3,2,1,1] {{1},{2,3,4},{5},{6},{7}}=>[[1,3,4],[2],[5],[6],[7]]=>[3,1,1,1,1] {{1,5,6,7},{2,3},{4}}=>[[1,3,6,7],[2,5],[4]]=>[4,2,1] {{1,5,6},{2,3,7},{4}}=>[[1,3,6],[2,5,7],[4]]=>[3,3,1] {{1,5,6},{2,3},{4,7}}=>[[1,3,6],[2,5],[4,7]]=>[3,2,2] {{1,5,6},{2,3},{4},{7}}=>[[1,3,6],[2,5],[4],[7]]=>[3,2,1,1] {{1,5,7},{2,3,6},{4}}=>[[1,3,6],[2,5,7],[4]]=>[3,3,1] {{1,5},{2,3,6,7},{4}}=>[[1,3,6,7],[2,5],[4]]=>[4,2,1] {{1,5},{2,3,6},{4,7}}=>[[1,3,6],[2,5],[4,7]]=>[3,2,2] {{1,5},{2,3,6},{4},{7}}=>[[1,3,6],[2,5],[4],[7]]=>[3,2,1,1] {{1,5,7},{2,3},{4,6}}=>[[1,3,7],[2,5],[4,6]]=>[3,2,2] {{1,5},{2,3,7},{4,6}}=>[[1,3,7],[2,5],[4,6]]=>[3,2,2] {{1,5},{2,3},{4,6,7}}=>[[1,3,7],[2,5],[4,6]]=>[3,2,2] {{1,5},{2,3},{4,6},{7}}=>[[1,3],[2,5],[4,6],[7]]=>[2,2,2,1] {{1,5,7},{2,3},{4},{6}}=>[[1,3,7],[2,5],[4],[6]]=>[3,2,1,1] {{1,5},{2,3,7},{4},{6}}=>[[1,3,7],[2,5],[4],[6]]=>[3,2,1,1] {{1,5},{2,3},{4,7},{6}}=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1] {{1,5},{2,3},{4},{6,7}}=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1] {{1,5},{2,3},{4},{6},{7}}=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,1,1,1] {{1,6,7},{2,3,5},{4}}=>[[1,3,5],[2,6,7],[4]]=>[3,3,1] {{1,6},{2,3,5,7},{4}}=>[[1,3,5,7],[2,6],[4]]=>[4,2,1] {{1,6},{2,3,5},{4,7}}=>[[1,3,5],[2,6],[4,7]]=>[3,2,2] {{1,6},{2,3,5},{4},{7}}=>[[1,3,5],[2,6],[4],[7]]=>[3,2,1,1] {{1,7},{2,3,5,6},{4}}=>[[1,3,5,6],[2,7],[4]]=>[4,2,1] {{1},{2,3,5,6,7},{4}}=>[[1,3,5,6,7],[2],[4]]=>[5,1,1] {{1},{2,3,5,6},{4,7}}=>[[1,3,5,6],[2,7],[4]]=>[4,2,1] {{1},{2,3,5,6},{4},{7}}=>[[1,3,5,6],[2],[4],[7]]=>[4,1,1,1] {{1,7},{2,3,5},{4,6}}=>[[1,3,5],[2,6],[4,7]]=>[3,2,2] {{1},{2,3,5,7},{4,6}}=>[[1,3,5,7],[2,6],[4]]=>[4,2,1] {{1},{2,3,5},{4,6,7}}=>[[1,3,5],[2,6,7],[4]]=>[3,3,1] {{1},{2,3,5},{4,6},{7}}=>[[1,3,5],[2,6],[4],[7]]=>[3,2,1,1] {{1,7},{2,3,5},{4},{6}}=>[[1,3,5],[2,7],[4],[6]]=>[3,2,1,1] {{1},{2,3,5,7},{4},{6}}=>[[1,3,5,7],[2],[4],[6]]=>[4,1,1,1] {{1},{2,3,5},{4,7},{6}}=>[[1,3,5],[2,7],[4],[6]]=>[3,2,1,1] {{1},{2,3,5},{4},{6,7}}=>[[1,3,5],[2,7],[4],[6]]=>[3,2,1,1] {{1},{2,3,5},{4},{6},{7}}=>[[1,3,5],[2],[4],[6],[7]]=>[3,1,1,1,1] {{1,6,7},{2,3},{4,5}}=>[[1,3,7],[2,5],[4,6]]=>[3,2,2] {{1,6},{2,3,7},{4,5}}=>[[1,3,7],[2,5],[4,6]]=>[3,2,2] {{1,6},{2,3},{4,5,7}}=>[[1,3,7],[2,5],[4,6]]=>[3,2,2] {{1,6},{2,3},{4,5},{7}}=>[[1,3],[2,5],[4,6],[7]]=>[2,2,2,1] {{1,7},{2,3,6},{4,5}}=>[[1,3,6],[2,5],[4,7]]=>[3,2,2] {{1},{2,3,6,7},{4,5}}=>[[1,3,6,7],[2,5],[4]]=>[4,2,1] {{1},{2,3,6},{4,5,7}}=>[[1,3,6],[2,5,7],[4]]=>[3,3,1] {{1},{2,3,6},{4,5},{7}}=>[[1,3,6],[2,5],[4],[7]]=>[3,2,1,1] {{1,7},{2,3},{4,5,6}}=>[[1,3,6],[2,5],[4,7]]=>[3,2,2] {{1},{2,3,7},{4,5,6}}=>[[1,3,6],[2,5,7],[4]]=>[3,3,1] {{1},{2,3},{4,5,6,7}}=>[[1,3,6,7],[2,5],[4]]=>[4,2,1] {{1},{2,3},{4,5,6},{7}}=>[[1,3,6],[2,5],[4],[7]]=>[3,2,1,1] {{1,7},{2,3},{4,5},{6}}=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1] {{1},{2,3,7},{4,5},{6}}=>[[1,3,7],[2,5],[4],[6]]=>[3,2,1,1] {{1},{2,3},{4,5,7},{6}}=>[[1,3,7],[2,5],[4],[6]]=>[3,2,1,1] {{1},{2,3},{4,5},{6,7}}=>[[1,3],[2,5],[4,7],[6]]=>[2,2,2,1] {{1},{2,3},{4,5},{6},{7}}=>[[1,3],[2,5],[4],[6],[7]]=>[2,2,1,1,1] {{1,6,7},{2,3},{4},{5}}=>[[1,3,7],[2,6],[4],[5]]=>[3,2,1,1] {{1,6},{2,3,7},{4},{5}}=>[[1,3,7],[2,6],[4],[5]]=>[3,2,1,1] {{1,6},{2,3},{4,7},{5}}=>[[1,3],[2,6],[4,7],[5]]=>[2,2,2,1] {{1,6},{2,3},{4},{5,7}}=>[[1,3],[2,6],[4,7],[5]]=>[2,2,2,1] {{1,6},{2,3},{4},{5},{7}}=>[[1,3],[2,6],[4],[5],[7]]=>[2,2,1,1,1] {{1,7},{2,3,6},{4},{5}}=>[[1,3,6],[2,7],[4],[5]]=>[3,2,1,1] {{1},{2,3,6,7},{4},{5}}=>[[1,3,6,7],[2],[4],[5]]=>[4,1,1,1] {{1},{2,3,6},{4,7},{5}}=>[[1,3,6],[2,7],[4],[5]]=>[3,2,1,1] {{1},{2,3,6},{4},{5,7}}=>[[1,3,6],[2,7],[4],[5]]=>[3,2,1,1] {{1},{2,3,6},{4},{5},{7}}=>[[1,3,6],[2],[4],[5],[7]]=>[3,1,1,1,1] {{1,7},{2,3},{4,6},{5}}=>[[1,3],[2,6],[4,7],[5]]=>[2,2,2,1] {{1},{2,3,7},{4,6},{5}}=>[[1,3,7],[2,6],[4],[5]]=>[3,2,1,1] {{1},{2,3},{4,6,7},{5}}=>[[1,3,7],[2,6],[4],[5]]=>[3,2,1,1] {{1},{2,3},{4,6},{5,7}}=>[[1,3],[2,6],[4,7],[5]]=>[2,2,2,1] {{1},{2,3},{4,6},{5},{7}}=>[[1,3],[2,6],[4],[5],[7]]=>[2,2,1,1,1] {{1,7},{2,3},{4},{5,6}}=>[[1,3],[2,6],[4,7],[5]]=>[2,2,2,1] {{1},{2,3,7},{4},{5,6}}=>[[1,3,7],[2,6],[4],[5]]=>[3,2,1,1] {{1},{2,3},{4,7},{5,6}}=>[[1,3],[2,6],[4,7],[5]]=>[2,2,2,1] {{1},{2,3},{4},{5,6,7}}=>[[1,3,7],[2,6],[4],[5]]=>[3,2,1,1] {{1},{2,3},{4},{5,6},{7}}=>[[1,3],[2,6],[4],[5],[7]]=>[2,2,1,1,1] {{1,7},{2,3},{4},{5},{6}}=>[[1,3],[2,7],[4],[5],[6]]=>[2,2,1,1,1] {{1},{2,3,7},{4},{5},{6}}=>[[1,3,7],[2],[4],[5],[6]]=>[3,1,1,1,1] {{1},{2,3},{4,7},{5},{6}}=>[[1,3],[2,7],[4],[5],[6]]=>[2,2,1,1,1] {{1},{2,3},{4},{5,7},{6}}=>[[1,3],[2,7],[4],[5],[6]]=>[2,2,1,1,1] {{1},{2,3},{4},{5},{6,7}}=>[[1,3],[2,7],[4],[5],[6]]=>[2,2,1,1,1] {{1},{2,3},{4},{5},{6},{7}}=>[[1,3],[2],[4],[5],[6],[7]]=>[2,1,1,1,1,1] {{1,4,5,6,7},{2},{3}}=>[[1,4,5,6,7],[2],[3]]=>[5,1,1] {{1,4,5,6},{2,7},{3}}=>[[1,4,5,6],[2,7],[3]]=>[4,2,1] {{1,4,5,6},{2},{3,7}}=>[[1,4,5,6],[2,7],[3]]=>[4,2,1] {{1,4,5,6},{2},{3},{7}}=>[[1,4,5,6],[2],[3],[7]]=>[4,1,1,1] {{1,4,5,7},{2,6},{3}}=>[[1,4,5,7],[2,6],[3]]=>[4,2,1] {{1,4,5},{2,6,7},{3}}=>[[1,4,5],[2,6,7],[3]]=>[3,3,1] {{1,4,5},{2,6},{3,7}}=>[[1,4,5],[2,6],[3,7]]=>[3,2,2] {{1,4,5},{2,6},{3},{7}}=>[[1,4,5],[2,6],[3],[7]]=>[3,2,1,1] {{1,4,5,7},{2},{3,6}}=>[[1,4,5,7],[2,6],[3]]=>[4,2,1] {{1,4,5},{2,7},{3,6}}=>[[1,4,5],[2,6],[3,7]]=>[3,2,2] {{1,4,5},{2},{3,6,7}}=>[[1,4,5],[2,6,7],[3]]=>[3,3,1] {{1,4,5},{2},{3,6},{7}}=>[[1,4,5],[2,6],[3],[7]]=>[3,2,1,1] {{1,4,5,7},{2},{3},{6}}=>[[1,4,5,7],[2],[3],[6]]=>[4,1,1,1] {{1,4,5},{2,7},{3},{6}}=>[[1,4,5],[2,7],[3],[6]]=>[3,2,1,1] {{1,4,5},{2},{3,7},{6}}=>[[1,4,5],[2,7],[3],[6]]=>[3,2,1,1] {{1,4,5},{2},{3},{6,7}}=>[[1,4,5],[2,7],[3],[6]]=>[3,2,1,1] {{1,4,5},{2},{3},{6},{7}}=>[[1,4,5],[2],[3],[6],[7]]=>[3,1,1,1,1] {{1,4,6,7},{2,5},{3}}=>[[1,4,6,7],[2,5],[3]]=>[4,2,1] {{1,4,6},{2,5,7},{3}}=>[[1,4,6],[2,5,7],[3]]=>[3,3,1] {{1,4,6},{2,5},{3,7}}=>[[1,4,6],[2,5],[3,7]]=>[3,2,2] {{1,4,6},{2,5},{3},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[3,2,1,1] {{1,4,7},{2,5,6},{3}}=>[[1,4,6],[2,5,7],[3]]=>[3,3,1] {{1,4},{2,5,6,7},{3}}=>[[1,4,6,7],[2,5],[3]]=>[4,2,1] {{1,4},{2,5,6},{3,7}}=>[[1,4,6],[2,5],[3,7]]=>[3,2,2] {{1,4},{2,5,6},{3},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[3,2,1,1] {{1,4,7},{2,5},{3,6}}=>[[1,4,7],[2,5],[3,6]]=>[3,2,2] {{1,4},{2,5,7},{3,6}}=>[[1,4,7],[2,5],[3,6]]=>[3,2,2] {{1,4},{2,5},{3,6,7}}=>[[1,4,7],[2,5],[3,6]]=>[3,2,2] {{1,4},{2,5},{3,6},{7}}=>[[1,4],[2,5],[3,6],[7]]=>[2,2,2,1] {{1,4,7},{2,5},{3},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[3,2,1,1] {{1,4},{2,5,7},{3},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[3,2,1,1] {{1,4},{2,5},{3,7},{6}}=>[[1,4],[2,5],[3,7],[6]]=>[2,2,2,1] {{1,4},{2,5},{3},{6,7}}=>[[1,4],[2,5],[3,7],[6]]=>[2,2,2,1] {{1,4},{2,5},{3},{6},{7}}=>[[1,4],[2,5],[3],[6],[7]]=>[2,2,1,1,1] {{1,4,6,7},{2},{3,5}}=>[[1,4,6,7],[2,5],[3]]=>[4,2,1] {{1,4,6},{2,7},{3,5}}=>[[1,4,6],[2,5],[3,7]]=>[3,2,2] {{1,4,6},{2},{3,5,7}}=>[[1,4,6],[2,5,7],[3]]=>[3,3,1] {{1,4,6},{2},{3,5},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[3,2,1,1] {{1,4,7},{2,6},{3,5}}=>[[1,4,7],[2,5],[3,6]]=>[3,2,2] {{1,4},{2,6,7},{3,5}}=>[[1,4,7],[2,5],[3,6]]=>[3,2,2] {{1,4},{2,6},{3,5,7}}=>[[1,4,7],[2,5],[3,6]]=>[3,2,2] {{1,4},{2,6},{3,5},{7}}=>[[1,4],[2,5],[3,6],[7]]=>[2,2,2,1] {{1,4,7},{2},{3,5,6}}=>[[1,4,6],[2,5,7],[3]]=>[3,3,1] {{1,4},{2,7},{3,5,6}}=>[[1,4,6],[2,5],[3,7]]=>[3,2,2] {{1,4},{2},{3,5,6,7}}=>[[1,4,6,7],[2,5],[3]]=>[4,2,1] {{1,4},{2},{3,5,6},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[3,2,1,1] {{1,4,7},{2},{3,5},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[3,2,1,1] {{1,4},{2,7},{3,5},{6}}=>[[1,4],[2,5],[3,7],[6]]=>[2,2,2,1] {{1,4},{2},{3,5,7},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[3,2,1,1] {{1,4},{2},{3,5},{6,7}}=>[[1,4],[2,5],[3,7],[6]]=>[2,2,2,1] {{1,4},{2},{3,5},{6},{7}}=>[[1,4],[2,5],[3],[6],[7]]=>[2,2,1,1,1] {{1,4,6,7},{2},{3},{5}}=>[[1,4,6,7],[2],[3],[5]]=>[4,1,1,1] {{1,4,6},{2,7},{3},{5}}=>[[1,4,6],[2,7],[3],[5]]=>[3,2,1,1] {{1,4,6},{2},{3,7},{5}}=>[[1,4,6],[2,7],[3],[5]]=>[3,2,1,1] {{1,4,6},{2},{3},{5,7}}=>[[1,4,6],[2,7],[3],[5]]=>[3,2,1,1] {{1,4,6},{2},{3},{5},{7}}=>[[1,4,6],[2],[3],[5],[7]]=>[3,1,1,1,1] {{1,4,7},{2,6},{3},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[3,2,1,1] {{1,4},{2,6,7},{3},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[3,2,1,1] {{1,4},{2,6},{3,7},{5}}=>[[1,4],[2,6],[3,7],[5]]=>[2,2,2,1] {{1,4},{2,6},{3},{5,7}}=>[[1,4],[2,6],[3,7],[5]]=>[2,2,2,1] {{1,4},{2,6},{3},{5},{7}}=>[[1,4],[2,6],[3],[5],[7]]=>[2,2,1,1,1] {{1,4,7},{2},{3,6},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[3,2,1,1] {{1,4},{2,7},{3,6},{5}}=>[[1,4],[2,6],[3,7],[5]]=>[2,2,2,1] {{1,4},{2},{3,6,7},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[3,2,1,1] {{1,4},{2},{3,6},{5,7}}=>[[1,4],[2,6],[3,7],[5]]=>[2,2,2,1] {{1,4},{2},{3,6},{5},{7}}=>[[1,4],[2,6],[3],[5],[7]]=>[2,2,1,1,1] {{1,4,7},{2},{3},{5,6}}=>[[1,4,7],[2,6],[3],[5]]=>[3,2,1,1] {{1,4},{2,7},{3},{5,6}}=>[[1,4],[2,6],[3,7],[5]]=>[2,2,2,1] {{1,4},{2},{3,7},{5,6}}=>[[1,4],[2,6],[3,7],[5]]=>[2,2,2,1] {{1,4},{2},{3},{5,6,7}}=>[[1,4,7],[2,6],[3],[5]]=>[3,2,1,1] {{1,4},{2},{3},{5,6},{7}}=>[[1,4],[2,6],[3],[5],[7]]=>[2,2,1,1,1] {{1,4,7},{2},{3},{5},{6}}=>[[1,4,7],[2],[3],[5],[6]]=>[3,1,1,1,1] {{1,4},{2,7},{3},{5},{6}}=>[[1,4],[2,7],[3],[5],[6]]=>[2,2,1,1,1] {{1,4},{2},{3,7},{5},{6}}=>[[1,4],[2,7],[3],[5],[6]]=>[2,2,1,1,1] {{1,4},{2},{3},{5,7},{6}}=>[[1,4],[2,7],[3],[5],[6]]=>[2,2,1,1,1] {{1,4},{2},{3},{5},{6,7}}=>[[1,4],[2,7],[3],[5],[6]]=>[2,2,1,1,1] {{1,4},{2},{3},{5},{6},{7}}=>[[1,4],[2],[3],[5],[6],[7]]=>[2,1,1,1,1,1] {{1,5,6,7},{2,4},{3}}=>[[1,4,6,7],[2,5],[3]]=>[4,2,1] {{1,5,6},{2,4,7},{3}}=>[[1,4,6],[2,5,7],[3]]=>[3,3,1] {{1,5,6},{2,4},{3,7}}=>[[1,4,6],[2,5],[3,7]]=>[3,2,2] {{1,5,6},{2,4},{3},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[3,2,1,1] {{1,5,7},{2,4,6},{3}}=>[[1,4,6],[2,5,7],[3]]=>[3,3,1] {{1,5},{2,4,6,7},{3}}=>[[1,4,6,7],[2,5],[3]]=>[4,2,1] {{1,5},{2,4,6},{3,7}}=>[[1,4,6],[2,5],[3,7]]=>[3,2,2] {{1,5},{2,4,6},{3},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[3,2,1,1] {{1,5,7},{2,4},{3,6}}=>[[1,4,7],[2,5],[3,6]]=>[3,2,2] {{1,5},{2,4,7},{3,6}}=>[[1,4,7],[2,5],[3,6]]=>[3,2,2] {{1,5},{2,4},{3,6,7}}=>[[1,4,7],[2,5],[3,6]]=>[3,2,2] {{1,5},{2,4},{3,6},{7}}=>[[1,4],[2,5],[3,6],[7]]=>[2,2,2,1] {{1,5,7},{2,4},{3},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[3,2,1,1] {{1,5},{2,4,7},{3},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[3,2,1,1] {{1,5},{2,4},{3,7},{6}}=>[[1,4],[2,5],[3,7],[6]]=>[2,2,2,1] {{1,5},{2,4},{3},{6,7}}=>[[1,4],[2,5],[3,7],[6]]=>[2,2,2,1] {{1,5},{2,4},{3},{6},{7}}=>[[1,4],[2,5],[3],[6],[7]]=>[2,2,1,1,1] {{1,6,7},{2,4,5},{3}}=>[[1,4,5],[2,6,7],[3]]=>[3,3,1] {{1,6},{2,4,5,7},{3}}=>[[1,4,5,7],[2,6],[3]]=>[4,2,1] {{1,6},{2,4,5},{3,7}}=>[[1,4,5],[2,6],[3,7]]=>[3,2,2] {{1,6},{2,4,5},{3},{7}}=>[[1,4,5],[2,6],[3],[7]]=>[3,2,1,1] {{1,7},{2,4,5,6},{3}}=>[[1,4,5,6],[2,7],[3]]=>[4,2,1] {{1},{2,4,5,6,7},{3}}=>[[1,4,5,6,7],[2],[3]]=>[5,1,1] {{1},{2,4,5,6},{3,7}}=>[[1,4,5,6],[2,7],[3]]=>[4,2,1] {{1},{2,4,5,6},{3},{7}}=>[[1,4,5,6],[2],[3],[7]]=>[4,1,1,1] {{1,7},{2,4,5},{3,6}}=>[[1,4,5],[2,6],[3,7]]=>[3,2,2] {{1},{2,4,5,7},{3,6}}=>[[1,4,5,7],[2,6],[3]]=>[4,2,1] {{1},{2,4,5},{3,6,7}}=>[[1,4,5],[2,6,7],[3]]=>[3,3,1] {{1},{2,4,5},{3,6},{7}}=>[[1,4,5],[2,6],[3],[7]]=>[3,2,1,1] {{1,7},{2,4,5},{3},{6}}=>[[1,4,5],[2,7],[3],[6]]=>[3,2,1,1] {{1},{2,4,5,7},{3},{6}}=>[[1,4,5,7],[2],[3],[6]]=>[4,1,1,1] {{1},{2,4,5},{3,7},{6}}=>[[1,4,5],[2,7],[3],[6]]=>[3,2,1,1] {{1},{2,4,5},{3},{6,7}}=>[[1,4,5],[2,7],[3],[6]]=>[3,2,1,1] {{1},{2,4,5},{3},{6},{7}}=>[[1,4,5],[2],[3],[6],[7]]=>[3,1,1,1,1] {{1,6,7},{2,4},{3,5}}=>[[1,4,7],[2,5],[3,6]]=>[3,2,2] {{1,6},{2,4,7},{3,5}}=>[[1,4,7],[2,5],[3,6]]=>[3,2,2] {{1,6},{2,4},{3,5,7}}=>[[1,4,7],[2,5],[3,6]]=>[3,2,2] {{1,6},{2,4},{3,5},{7}}=>[[1,4],[2,5],[3,6],[7]]=>[2,2,2,1] {{1,7},{2,4,6},{3,5}}=>[[1,4,6],[2,5],[3,7]]=>[3,2,2] {{1},{2,4,6,7},{3,5}}=>[[1,4,6,7],[2,5],[3]]=>[4,2,1] {{1},{2,4,6},{3,5,7}}=>[[1,4,6],[2,5,7],[3]]=>[3,3,1] {{1},{2,4,6},{3,5},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[3,2,1,1] {{1,7},{2,4},{3,5,6}}=>[[1,4,6],[2,5],[3,7]]=>[3,2,2] {{1},{2,4,7},{3,5,6}}=>[[1,4,6],[2,5,7],[3]]=>[3,3,1] {{1},{2,4},{3,5,6,7}}=>[[1,4,6,7],[2,5],[3]]=>[4,2,1] {{1},{2,4},{3,5,6},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[3,2,1,1] {{1,7},{2,4},{3,5},{6}}=>[[1,4],[2,5],[3,7],[6]]=>[2,2,2,1] {{1},{2,4,7},{3,5},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[3,2,1,1] {{1},{2,4},{3,5,7},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[3,2,1,1] {{1},{2,4},{3,5},{6,7}}=>[[1,4],[2,5],[3,7],[6]]=>[2,2,2,1] {{1},{2,4},{3,5},{6},{7}}=>[[1,4],[2,5],[3],[6],[7]]=>[2,2,1,1,1] {{1,6,7},{2,4},{3},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[3,2,1,1] {{1,6},{2,4,7},{3},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[3,2,1,1] {{1,6},{2,4},{3,7},{5}}=>[[1,4],[2,6],[3,7],[5]]=>[2,2,2,1] {{1,6},{2,4},{3},{5,7}}=>[[1,4],[2,6],[3,7],[5]]=>[2,2,2,1] {{1,6},{2,4},{3},{5},{7}}=>[[1,4],[2,6],[3],[5],[7]]=>[2,2,1,1,1] {{1,7},{2,4,6},{3},{5}}=>[[1,4,6],[2,7],[3],[5]]=>[3,2,1,1] {{1},{2,4,6,7},{3},{5}}=>[[1,4,6,7],[2],[3],[5]]=>[4,1,1,1] {{1},{2,4,6},{3,7},{5}}=>[[1,4,6],[2,7],[3],[5]]=>[3,2,1,1] {{1},{2,4,6},{3},{5,7}}=>[[1,4,6],[2,7],[3],[5]]=>[3,2,1,1] {{1},{2,4,6},{3},{5},{7}}=>[[1,4,6],[2],[3],[5],[7]]=>[3,1,1,1,1] {{1,7},{2,4},{3,6},{5}}=>[[1,4],[2,6],[3,7],[5]]=>[2,2,2,1] {{1},{2,4,7},{3,6},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[3,2,1,1] {{1},{2,4},{3,6,7},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[3,2,1,1] {{1},{2,4},{3,6},{5,7}}=>[[1,4],[2,6],[3,7],[5]]=>[2,2,2,1] {{1},{2,4},{3,6},{5},{7}}=>[[1,4],[2,6],[3],[5],[7]]=>[2,2,1,1,1] {{1,7},{2,4},{3},{5,6}}=>[[1,4],[2,6],[3,7],[5]]=>[2,2,2,1] {{1},{2,4,7},{3},{5,6}}=>[[1,4,7],[2,6],[3],[5]]=>[3,2,1,1] {{1},{2,4},{3,7},{5,6}}=>[[1,4],[2,6],[3,7],[5]]=>[2,2,2,1] {{1},{2,4},{3},{5,6,7}}=>[[1,4,7],[2,6],[3],[5]]=>[3,2,1,1] {{1},{2,4},{3},{5,6},{7}}=>[[1,4],[2,6],[3],[5],[7]]=>[2,2,1,1,1] {{1,7},{2,4},{3},{5},{6}}=>[[1,4],[2,7],[3],[5],[6]]=>[2,2,1,1,1] {{1},{2,4,7},{3},{5},{6}}=>[[1,4,7],[2],[3],[5],[6]]=>[3,1,1,1,1] {{1},{2,4},{3,7},{5},{6}}=>[[1,4],[2,7],[3],[5],[6]]=>[2,2,1,1,1] {{1},{2,4},{3},{5,7},{6}}=>[[1,4],[2,7],[3],[5],[6]]=>[2,2,1,1,1] {{1},{2,4},{3},{5},{6,7}}=>[[1,4],[2,7],[3],[5],[6]]=>[2,2,1,1,1] {{1},{2,4},{3},{5},{6},{7}}=>[[1,4],[2],[3],[5],[6],[7]]=>[2,1,1,1,1,1] {{1,5,6,7},{2},{3,4}}=>[[1,4,6,7],[2,5],[3]]=>[4,2,1] {{1,5,6},{2,7},{3,4}}=>[[1,4,6],[2,5],[3,7]]=>[3,2,2] {{1,5,6},{2},{3,4,7}}=>[[1,4,6],[2,5,7],[3]]=>[3,3,1] {{1,5,6},{2},{3,4},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[3,2,1,1] {{1,5,7},{2,6},{3,4}}=>[[1,4,7],[2,5],[3,6]]=>[3,2,2] {{1,5},{2,6,7},{3,4}}=>[[1,4,7],[2,5],[3,6]]=>[3,2,2] {{1,5},{2,6},{3,4,7}}=>[[1,4,7],[2,5],[3,6]]=>[3,2,2] {{1,5},{2,6},{3,4},{7}}=>[[1,4],[2,5],[3,6],[7]]=>[2,2,2,1] {{1,5,7},{2},{3,4,6}}=>[[1,4,6],[2,5,7],[3]]=>[3,3,1] {{1,5},{2,7},{3,4,6}}=>[[1,4,6],[2,5],[3,7]]=>[3,2,2] {{1,5},{2},{3,4,6,7}}=>[[1,4,6,7],[2,5],[3]]=>[4,2,1] {{1,5},{2},{3,4,6},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[3,2,1,1] {{1,5,7},{2},{3,4},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[3,2,1,1] {{1,5},{2,7},{3,4},{6}}=>[[1,4],[2,5],[3,7],[6]]=>[2,2,2,1] {{1,5},{2},{3,4,7},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[3,2,1,1] {{1,5},{2},{3,4},{6,7}}=>[[1,4],[2,5],[3,7],[6]]=>[2,2,2,1] {{1,5},{2},{3,4},{6},{7}}=>[[1,4],[2,5],[3],[6],[7]]=>[2,2,1,1,1] {{1,6,7},{2,5},{3,4}}=>[[1,4,7],[2,5],[3,6]]=>[3,2,2] {{1,6},{2,5,7},{3,4}}=>[[1,4,7],[2,5],[3,6]]=>[3,2,2] {{1,6},{2,5},{3,4,7}}=>[[1,4,7],[2,5],[3,6]]=>[3,2,2] {{1,6},{2,5},{3,4},{7}}=>[[1,4],[2,5],[3,6],[7]]=>[2,2,2,1] {{1,7},{2,5,6},{3,4}}=>[[1,4,6],[2,5],[3,7]]=>[3,2,2] {{1},{2,5,6,7},{3,4}}=>[[1,4,6,7],[2,5],[3]]=>[4,2,1] {{1},{2,5,6},{3,4,7}}=>[[1,4,6],[2,5,7],[3]]=>[3,3,1] {{1},{2,5,6},{3,4},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[3,2,1,1] {{1,7},{2,5},{3,4,6}}=>[[1,4,6],[2,5],[3,7]]=>[3,2,2] {{1},{2,5,7},{3,4,6}}=>[[1,4,6],[2,5,7],[3]]=>[3,3,1] {{1},{2,5},{3,4,6,7}}=>[[1,4,6,7],[2,5],[3]]=>[4,2,1] {{1},{2,5},{3,4,6},{7}}=>[[1,4,6],[2,5],[3],[7]]=>[3,2,1,1] {{1,7},{2,5},{3,4},{6}}=>[[1,4],[2,5],[3,7],[6]]=>[2,2,2,1] {{1},{2,5,7},{3,4},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[3,2,1,1] {{1},{2,5},{3,4,7},{6}}=>[[1,4,7],[2,5],[3],[6]]=>[3,2,1,1] {{1},{2,5},{3,4},{6,7}}=>[[1,4],[2,5],[3,7],[6]]=>[2,2,2,1] {{1},{2,5},{3,4},{6},{7}}=>[[1,4],[2,5],[3],[6],[7]]=>[2,2,1,1,1] {{1,6,7},{2},{3,4,5}}=>[[1,4,5],[2,6,7],[3]]=>[3,3,1] {{1,6},{2,7},{3,4,5}}=>[[1,4,5],[2,6],[3,7]]=>[3,2,2] {{1,6},{2},{3,4,5,7}}=>[[1,4,5,7],[2,6],[3]]=>[4,2,1] {{1,6},{2},{3,4,5},{7}}=>[[1,4,5],[2,6],[3],[7]]=>[3,2,1,1] {{1,7},{2,6},{3,4,5}}=>[[1,4,5],[2,6],[3,7]]=>[3,2,2] {{1},{2,6,7},{3,4,5}}=>[[1,4,5],[2,6,7],[3]]=>[3,3,1] {{1},{2,6},{3,4,5,7}}=>[[1,4,5,7],[2,6],[3]]=>[4,2,1] {{1},{2,6},{3,4,5},{7}}=>[[1,4,5],[2,6],[3],[7]]=>[3,2,1,1] {{1,7},{2},{3,4,5,6}}=>[[1,4,5,6],[2,7],[3]]=>[4,2,1] {{1},{2,7},{3,4,5,6}}=>[[1,4,5,6],[2,7],[3]]=>[4,2,1] {{1},{2},{3,4,5,6,7}}=>[[1,4,5,6,7],[2],[3]]=>[5,1,1] {{1},{2},{3,4,5,6},{7}}=>[[1,4,5,6],[2],[3],[7]]=>[4,1,1,1] {{1,7},{2},{3,4,5},{6}}=>[[1,4,5],[2,7],[3],[6]]=>[3,2,1,1] {{1},{2,7},{3,4,5},{6}}=>[[1,4,5],[2,7],[3],[6]]=>[3,2,1,1] {{1},{2},{3,4,5,7},{6}}=>[[1,4,5,7],[2],[3],[6]]=>[4,1,1,1] {{1},{2},{3,4,5},{6,7}}=>[[1,4,5],[2,7],[3],[6]]=>[3,2,1,1] {{1},{2},{3,4,5},{6},{7}}=>[[1,4,5],[2],[3],[6],[7]]=>[3,1,1,1,1] {{1,6,7},{2},{3,4},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[3,2,1,1] {{1,6},{2,7},{3,4},{5}}=>[[1,4],[2,6],[3,7],[5]]=>[2,2,2,1] {{1,6},{2},{3,4,7},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[3,2,1,1] {{1,6},{2},{3,4},{5,7}}=>[[1,4],[2,6],[3,7],[5]]=>[2,2,2,1] {{1,6},{2},{3,4},{5},{7}}=>[[1,4],[2,6],[3],[5],[7]]=>[2,2,1,1,1] {{1,7},{2,6},{3,4},{5}}=>[[1,4],[2,6],[3,7],[5]]=>[2,2,2,1] {{1},{2,6,7},{3,4},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[3,2,1,1] {{1},{2,6},{3,4,7},{5}}=>[[1,4,7],[2,6],[3],[5]]=>[3,2,1,1] {{1},{2,6},{3,4},{5,7}}=>[[1,4],[2,6],[3,7],[5]]=>[2,2,2,1] {{1},{2,6},{3,4},{5},{7}}=>[[1,4],[2,6],[3],[5],[7]]=>[2,2,1,1,1] {{1,7},{2},{3,4,6},{5}}=>[[1,4,6],[2,7],[3],[5]]=>[3,2,1,1] {{1},{2,7},{3,4,6},{5}}=>[[1,4,6],[2,7],[3],[5]]=>[3,2,1,1] {{1},{2},{3,4,6,7},{5}}=>[[1,4,6,7],[2],[3],[5]]=>[4,1,1,1] {{1},{2},{3,4,6},{5,7}}=>[[1,4,6],[2,7],[3],[5]]=>[3,2,1,1] {{1},{2},{3,4,6},{5},{7}}=>[[1,4,6],[2],[3],[5],[7]]=>[3,1,1,1,1] {{1,7},{2},{3,4},{5,6}}=>[[1,4],[2,6],[3,7],[5]]=>[2,2,2,1] {{1},{2,7},{3,4},{5,6}}=>[[1,4],[2,6],[3,7],[5]]=>[2,2,2,1] {{1},{2},{3,4,7},{5,6}}=>[[1,4,7],[2,6],[3],[5]]=>[3,2,1,1] {{1},{2},{3,4},{5,6,7}}=>[[1,4,7],[2,6],[3],[5]]=>[3,2,1,1] {{1},{2},{3,4},{5,6},{7}}=>[[1,4],[2,6],[3],[5],[7]]=>[2,2,1,1,1] {{1,7},{2},{3,4},{5},{6}}=>[[1,4],[2,7],[3],[5],[6]]=>[2,2,1,1,1] {{1},{2,7},{3,4},{5},{6}}=>[[1,4],[2,7],[3],[5],[6]]=>[2,2,1,1,1] {{1},{2},{3,4,7},{5},{6}}=>[[1,4,7],[2],[3],[5],[6]]=>[3,1,1,1,1] {{1},{2},{3,4},{5,7},{6}}=>[[1,4],[2,7],[3],[5],[6]]=>[2,2,1,1,1] {{1},{2},{3,4},{5},{6,7}}=>[[1,4],[2,7],[3],[5],[6]]=>[2,2,1,1,1] {{1},{2},{3,4},{5},{6},{7}}=>[[1,4],[2],[3],[5],[6],[7]]=>[2,1,1,1,1,1] {{1,5,6,7},{2},{3},{4}}=>[[1,5,6,7],[2],[3],[4]]=>[4,1,1,1] {{1,5,6},{2,7},{3},{4}}=>[[1,5,6],[2,7],[3],[4]]=>[3,2,1,1] {{1,5,6},{2},{3,7},{4}}=>[[1,5,6],[2,7],[3],[4]]=>[3,2,1,1] {{1,5,6},{2},{3},{4,7}}=>[[1,5,6],[2,7],[3],[4]]=>[3,2,1,1] {{1,5,6},{2},{3},{4},{7}}=>[[1,5,6],[2],[3],[4],[7]]=>[3,1,1,1,1] {{1,5,7},{2,6},{3},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1,5},{2,6,7},{3},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1,5},{2,6},{3,7},{4}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1,5},{2,6},{3},{4,7}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1,5},{2,6},{3},{4},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[2,2,1,1,1] {{1,5,7},{2},{3,6},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1,5},{2,7},{3,6},{4}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1,5},{2},{3,6,7},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1,5},{2},{3,6},{4,7}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1,5},{2},{3,6},{4},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[2,2,1,1,1] {{1,5,7},{2},{3},{4,6}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1,5},{2,7},{3},{4,6}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1,5},{2},{3,7},{4,6}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1,5},{2},{3},{4,6,7}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1,5},{2},{3},{4,6},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[2,2,1,1,1] {{1,5,7},{2},{3},{4},{6}}=>[[1,5,7],[2],[3],[4],[6]]=>[3,1,1,1,1] {{1,5},{2,7},{3},{4},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[2,2,1,1,1] {{1,5},{2},{3,7},{4},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[2,2,1,1,1] {{1,5},{2},{3},{4,7},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[2,2,1,1,1] {{1,5},{2},{3},{4},{6,7}}=>[[1,5],[2,7],[3],[4],[6]]=>[2,2,1,1,1] {{1,5},{2},{3},{4},{6},{7}}=>[[1,5],[2],[3],[4],[6],[7]]=>[2,1,1,1,1,1] {{1,6,7},{2,5},{3},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1,6},{2,5,7},{3},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1,6},{2,5},{3,7},{4}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1,6},{2,5},{3},{4,7}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1,6},{2,5},{3},{4},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[2,2,1,1,1] {{1,7},{2,5,6},{3},{4}}=>[[1,5,6],[2,7],[3],[4]]=>[3,2,1,1] {{1},{2,5,6,7},{3},{4}}=>[[1,5,6,7],[2],[3],[4]]=>[4,1,1,1] {{1},{2,5,6},{3,7},{4}}=>[[1,5,6],[2,7],[3],[4]]=>[3,2,1,1] {{1},{2,5,6},{3},{4,7}}=>[[1,5,6],[2,7],[3],[4]]=>[3,2,1,1] {{1},{2,5,6},{3},{4},{7}}=>[[1,5,6],[2],[3],[4],[7]]=>[3,1,1,1,1] {{1,7},{2,5},{3,6},{4}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1},{2,5,7},{3,6},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1},{2,5},{3,6,7},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1},{2,5},{3,6},{4,7}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1},{2,5},{3,6},{4},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[2,2,1,1,1] {{1,7},{2,5},{3},{4,6}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1},{2,5,7},{3},{4,6}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1},{2,5},{3,7},{4,6}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1},{2,5},{3},{4,6,7}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1},{2,5},{3},{4,6},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[2,2,1,1,1] {{1,7},{2,5},{3},{4},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[2,2,1,1,1] {{1},{2,5,7},{3},{4},{6}}=>[[1,5,7],[2],[3],[4],[6]]=>[3,1,1,1,1] {{1},{2,5},{3,7},{4},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[2,2,1,1,1] {{1},{2,5},{3},{4,7},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[2,2,1,1,1] {{1},{2,5},{3},{4},{6,7}}=>[[1,5],[2,7],[3],[4],[6]]=>[2,2,1,1,1] {{1},{2,5},{3},{4},{6},{7}}=>[[1,5],[2],[3],[4],[6],[7]]=>[2,1,1,1,1,1] {{1,6,7},{2},{3,5},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1,6},{2,7},{3,5},{4}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1,6},{2},{3,5,7},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1,6},{2},{3,5},{4,7}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1,6},{2},{3,5},{4},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[2,2,1,1,1] {{1,7},{2,6},{3,5},{4}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1},{2,6,7},{3,5},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1},{2,6},{3,5,7},{4}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1},{2,6},{3,5},{4,7}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1},{2,6},{3,5},{4},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[2,2,1,1,1] {{1,7},{2},{3,5,6},{4}}=>[[1,5,6],[2,7],[3],[4]]=>[3,2,1,1] {{1},{2,7},{3,5,6},{4}}=>[[1,5,6],[2,7],[3],[4]]=>[3,2,1,1] {{1},{2},{3,5,6,7},{4}}=>[[1,5,6,7],[2],[3],[4]]=>[4,1,1,1] {{1},{2},{3,5,6},{4,7}}=>[[1,5,6],[2,7],[3],[4]]=>[3,2,1,1] {{1},{2},{3,5,6},{4},{7}}=>[[1,5,6],[2],[3],[4],[7]]=>[3,1,1,1,1] {{1,7},{2},{3,5},{4,6}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1},{2,7},{3,5},{4,6}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1},{2},{3,5,7},{4,6}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1},{2},{3,5},{4,6,7}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1},{2},{3,5},{4,6},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[2,2,1,1,1] {{1,7},{2},{3,5},{4},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[2,2,1,1,1] {{1},{2,7},{3,5},{4},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[2,2,1,1,1] {{1},{2},{3,5,7},{4},{6}}=>[[1,5,7],[2],[3],[4],[6]]=>[3,1,1,1,1] {{1},{2},{3,5},{4,7},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[2,2,1,1,1] {{1},{2},{3,5},{4},{6,7}}=>[[1,5],[2,7],[3],[4],[6]]=>[2,2,1,1,1] {{1},{2},{3,5},{4},{6},{7}}=>[[1,5],[2],[3],[4],[6],[7]]=>[2,1,1,1,1,1] {{1,6,7},{2},{3},{4,5}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1,6},{2,7},{3},{4,5}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1,6},{2},{3,7},{4,5}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1,6},{2},{3},{4,5,7}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1,6},{2},{3},{4,5},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[2,2,1,1,1] {{1,7},{2,6},{3},{4,5}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1},{2,6,7},{3},{4,5}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1},{2,6},{3,7},{4,5}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1},{2,6},{3},{4,5,7}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1},{2,6},{3},{4,5},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[2,2,1,1,1] {{1,7},{2},{3,6},{4,5}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1},{2,7},{3,6},{4,5}}=>[[1,5],[2,6],[3,7],[4]]=>[2,2,2,1] {{1},{2},{3,6,7},{4,5}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1},{2},{3,6},{4,5,7}}=>[[1,5,7],[2,6],[3],[4]]=>[3,2,1,1] {{1},{2},{3,6},{4,5},{7}}=>[[1,5],[2,6],[3],[4],[7]]=>[2,2,1,1,1] {{1,7},{2},{3},{4,5,6}}=>[[1,5,6],[2,7],[3],[4]]=>[3,2,1,1] {{1},{2,7},{3},{4,5,6}}=>[[1,5,6],[2,7],[3],[4]]=>[3,2,1,1] {{1},{2},{3,7},{4,5,6}}=>[[1,5,6],[2,7],[3],[4]]=>[3,2,1,1] {{1},{2},{3},{4,5,6,7}}=>[[1,5,6,7],[2],[3],[4]]=>[4,1,1,1] {{1},{2},{3},{4,5,6},{7}}=>[[1,5,6],[2],[3],[4],[7]]=>[3,1,1,1,1] {{1,7},{2},{3},{4,5},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[2,2,1,1,1] {{1},{2,7},{3},{4,5},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[2,2,1,1,1] {{1},{2},{3,7},{4,5},{6}}=>[[1,5],[2,7],[3],[4],[6]]=>[2,2,1,1,1] {{1},{2},{3},{4,5,7},{6}}=>[[1,5,7],[2],[3],[4],[6]]=>[3,1,1,1,1] {{1},{2},{3},{4,5},{6,7}}=>[[1,5],[2,7],[3],[4],[6]]=>[2,2,1,1,1] {{1},{2},{3},{4,5},{6},{7}}=>[[1,5],[2],[3],[4],[6],[7]]=>[2,1,1,1,1,1] {{1,6,7},{2},{3},{4},{5}}=>[[1,6,7],[2],[3],[4],[5]]=>[3,1,1,1,1] {{1,6},{2,7},{3},{4},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[2,2,1,1,1] {{1,6},{2},{3,7},{4},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[2,2,1,1,1] {{1,6},{2},{3},{4,7},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[2,2,1,1,1] {{1,6},{2},{3},{4},{5,7}}=>[[1,6],[2,7],[3],[4],[5]]=>[2,2,1,1,1] {{1,6},{2},{3},{4},{5},{7}}=>[[1,6],[2],[3],[4],[5],[7]]=>[2,1,1,1,1,1] {{1,7},{2,6},{3},{4},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[2,2,1,1,1] {{1},{2,6,7},{3},{4},{5}}=>[[1,6,7],[2],[3],[4],[5]]=>[3,1,1,1,1] {{1},{2,6},{3,7},{4},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[2,2,1,1,1] {{1},{2,6},{3},{4,7},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[2,2,1,1,1] {{1},{2,6},{3},{4},{5,7}}=>[[1,6],[2,7],[3],[4],[5]]=>[2,2,1,1,1] {{1},{2,6},{3},{4},{5},{7}}=>[[1,6],[2],[3],[4],[5],[7]]=>[2,1,1,1,1,1] {{1,7},{2},{3,6},{4},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[2,2,1,1,1] {{1},{2,7},{3,6},{4},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[2,2,1,1,1] {{1},{2},{3,6,7},{4},{5}}=>[[1,6,7],[2],[3],[4],[5]]=>[3,1,1,1,1] {{1},{2},{3,6},{4,7},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[2,2,1,1,1] {{1},{2},{3,6},{4},{5,7}}=>[[1,6],[2,7],[3],[4],[5]]=>[2,2,1,1,1] {{1},{2},{3,6},{4},{5},{7}}=>[[1,6],[2],[3],[4],[5],[7]]=>[2,1,1,1,1,1] {{1,7},{2},{3},{4,6},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[2,2,1,1,1] {{1},{2,7},{3},{4,6},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[2,2,1,1,1] {{1},{2},{3,7},{4,6},{5}}=>[[1,6],[2,7],[3],[4],[5]]=>[2,2,1,1,1] {{1},{2},{3},{4,6,7},{5}}=>[[1,6,7],[2],[3],[4],[5]]=>[3,1,1,1,1] {{1},{2},{3},{4,6},{5,7}}=>[[1,6],[2,7],[3],[4],[5]]=>[2,2,1,1,1] {{1},{2},{3},{4,6},{5},{7}}=>[[1,6],[2],[3],[4],[5],[7]]=>[2,1,1,1,1,1] {{1,7},{2},{3},{4},{5,6}}=>[[1,6],[2,7],[3],[4],[5]]=>[2,2,1,1,1] {{1},{2,7},{3},{4},{5,6}}=>[[1,6],[2,7],[3],[4],[5]]=>[2,2,1,1,1] {{1},{2},{3,7},{4},{5,6}}=>[[1,6],[2,7],[3],[4],[5]]=>[2,2,1,1,1] {{1},{2},{3},{4,7},{5,6}}=>[[1,6],[2,7],[3],[4],[5]]=>[2,2,1,1,1] {{1},{2},{3},{4},{5,6,7}}=>[[1,6,7],[2],[3],[4],[5]]=>[3,1,1,1,1] {{1},{2},{3},{4},{5,6},{7}}=>[[1,6],[2],[3],[4],[5],[7]]=>[2,1,1,1,1,1] {{1,7},{2},{3},{4},{5},{6}}=>[[1,7],[2],[3],[4],[5],[6]]=>[2,1,1,1,1,1] {{1},{2,7},{3},{4},{5},{6}}=>[[1,7],[2],[3],[4],[5],[6]]=>[2,1,1,1,1,1] {{1},{2},{3,7},{4},{5},{6}}=>[[1,7],[2],[3],[4],[5],[6]]=>[2,1,1,1,1,1] {{1},{2},{3},{4,7},{5},{6}}=>[[1,7],[2],[3],[4],[5],[6]]=>[2,1,1,1,1,1] {{1},{2},{3},{4},{5,7},{6}}=>[[1,7],[2],[3],[4],[5],[6]]=>[2,1,1,1,1,1] {{1},{2},{3},{4},{5},{6,7}}=>[[1,7],[2],[3],[4],[5],[6]]=>[2,1,1,1,1,1] {{1},{2},{3},{4},{5},{6},{7}}=>[[1],[2],[3],[4],[5],[6],[7]]=>[1,1,1,1,1,1,1]
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
shape
Description
Sends a tableau to its shape.