Identifier
Mp00083: Standard tableaux —shape⟶ Integer partitions
Mp00044: Integer partitions —conjugate⟶ Integer partitions
Images
=>
Cc0007;cc-rep-0Cc0002;cc-rep-1Cc0002;cc-rep-2
[[1]]=>[1]=>[1] [[1,2]]=>[2]=>[1,1] [[1],[2]]=>[1,1]=>[2] [[1,2,3]]=>[3]=>[1,1,1] [[1,3],[2]]=>[2,1]=>[2,1] [[1,2],[3]]=>[2,1]=>[2,1] [[1],[2],[3]]=>[1,1,1]=>[3] [[1,2,3,4]]=>[4]=>[1,1,1,1] [[1,3,4],[2]]=>[3,1]=>[2,1,1] [[1,2,4],[3]]=>[3,1]=>[2,1,1] [[1,2,3],[4]]=>[3,1]=>[2,1,1] [[1,3],[2,4]]=>[2,2]=>[2,2] [[1,2],[3,4]]=>[2,2]=>[2,2] [[1,4],[2],[3]]=>[2,1,1]=>[3,1] [[1,3],[2],[4]]=>[2,1,1]=>[3,1] [[1,2],[3],[4]]=>[2,1,1]=>[3,1] [[1],[2],[3],[4]]=>[1,1,1,1]=>[4] [[1,2,3,4,5]]=>[5]=>[1,1,1,1,1] [[1,3,4,5],[2]]=>[4,1]=>[2,1,1,1] [[1,2,4,5],[3]]=>[4,1]=>[2,1,1,1] [[1,2,3,5],[4]]=>[4,1]=>[2,1,1,1] [[1,2,3,4],[5]]=>[4,1]=>[2,1,1,1] [[1,3,5],[2,4]]=>[3,2]=>[2,2,1] [[1,2,5],[3,4]]=>[3,2]=>[2,2,1] [[1,3,4],[2,5]]=>[3,2]=>[2,2,1] [[1,2,4],[3,5]]=>[3,2]=>[2,2,1] [[1,2,3],[4,5]]=>[3,2]=>[2,2,1] [[1,4,5],[2],[3]]=>[3,1,1]=>[3,1,1] [[1,3,5],[2],[4]]=>[3,1,1]=>[3,1,1] [[1,2,5],[3],[4]]=>[3,1,1]=>[3,1,1] [[1,3,4],[2],[5]]=>[3,1,1]=>[3,1,1] [[1,2,4],[3],[5]]=>[3,1,1]=>[3,1,1] [[1,2,3],[4],[5]]=>[3,1,1]=>[3,1,1] [[1,4],[2,5],[3]]=>[2,2,1]=>[3,2] [[1,3],[2,5],[4]]=>[2,2,1]=>[3,2] [[1,2],[3,5],[4]]=>[2,2,1]=>[3,2] [[1,3],[2,4],[5]]=>[2,2,1]=>[3,2] [[1,2],[3,4],[5]]=>[2,2,1]=>[3,2] [[1,5],[2],[3],[4]]=>[2,1,1,1]=>[4,1] [[1,4],[2],[3],[5]]=>[2,1,1,1]=>[4,1] [[1,3],[2],[4],[5]]=>[2,1,1,1]=>[4,1] [[1,2],[3],[4],[5]]=>[2,1,1,1]=>[4,1] [[1],[2],[3],[4],[5]]=>[1,1,1,1,1]=>[5] [[1,2,3,4,5,6]]=>[6]=>[1,1,1,1,1,1] [[1,3,4,5,6],[2]]=>[5,1]=>[2,1,1,1,1] [[1,2,4,5,6],[3]]=>[5,1]=>[2,1,1,1,1] [[1,2,3,5,6],[4]]=>[5,1]=>[2,1,1,1,1] [[1,2,3,4,6],[5]]=>[5,1]=>[2,1,1,1,1] [[1,2,3,4,5],[6]]=>[5,1]=>[2,1,1,1,1] [[1,3,5,6],[2,4]]=>[4,2]=>[2,2,1,1] [[1,2,5,6],[3,4]]=>[4,2]=>[2,2,1,1] [[1,3,4,6],[2,5]]=>[4,2]=>[2,2,1,1] [[1,2,4,6],[3,5]]=>[4,2]=>[2,2,1,1] [[1,2,3,6],[4,5]]=>[4,2]=>[2,2,1,1] [[1,3,4,5],[2,6]]=>[4,2]=>[2,2,1,1] [[1,2,4,5],[3,6]]=>[4,2]=>[2,2,1,1] [[1,2,3,5],[4,6]]=>[4,2]=>[2,2,1,1] [[1,2,3,4],[5,6]]=>[4,2]=>[2,2,1,1] [[1,4,5,6],[2],[3]]=>[4,1,1]=>[3,1,1,1] [[1,3,5,6],[2],[4]]=>[4,1,1]=>[3,1,1,1] [[1,2,5,6],[3],[4]]=>[4,1,1]=>[3,1,1,1] [[1,3,4,6],[2],[5]]=>[4,1,1]=>[3,1,1,1] [[1,2,4,6],[3],[5]]=>[4,1,1]=>[3,1,1,1] [[1,2,3,6],[4],[5]]=>[4,1,1]=>[3,1,1,1] [[1,3,4,5],[2],[6]]=>[4,1,1]=>[3,1,1,1] [[1,2,4,5],[3],[6]]=>[4,1,1]=>[3,1,1,1] [[1,2,3,5],[4],[6]]=>[4,1,1]=>[3,1,1,1] [[1,2,3,4],[5],[6]]=>[4,1,1]=>[3,1,1,1] [[1,3,5],[2,4,6]]=>[3,3]=>[2,2,2] [[1,2,5],[3,4,6]]=>[3,3]=>[2,2,2] [[1,3,4],[2,5,6]]=>[3,3]=>[2,2,2] [[1,2,4],[3,5,6]]=>[3,3]=>[2,2,2] [[1,2,3],[4,5,6]]=>[3,3]=>[2,2,2] [[1,4,6],[2,5],[3]]=>[3,2,1]=>[3,2,1] [[1,3,6],[2,5],[4]]=>[3,2,1]=>[3,2,1] [[1,2,6],[3,5],[4]]=>[3,2,1]=>[3,2,1] [[1,3,6],[2,4],[5]]=>[3,2,1]=>[3,2,1] [[1,2,6],[3,4],[5]]=>[3,2,1]=>[3,2,1] [[1,4,5],[2,6],[3]]=>[3,2,1]=>[3,2,1] [[1,3,5],[2,6],[4]]=>[3,2,1]=>[3,2,1] [[1,2,5],[3,6],[4]]=>[3,2,1]=>[3,2,1] [[1,3,4],[2,6],[5]]=>[3,2,1]=>[3,2,1] [[1,2,4],[3,6],[5]]=>[3,2,1]=>[3,2,1] [[1,2,3],[4,6],[5]]=>[3,2,1]=>[3,2,1] [[1,3,5],[2,4],[6]]=>[3,2,1]=>[3,2,1] [[1,2,5],[3,4],[6]]=>[3,2,1]=>[3,2,1] [[1,3,4],[2,5],[6]]=>[3,2,1]=>[3,2,1] [[1,2,4],[3,5],[6]]=>[3,2,1]=>[3,2,1] [[1,2,3],[4,5],[6]]=>[3,2,1]=>[3,2,1] [[1,5,6],[2],[3],[4]]=>[3,1,1,1]=>[4,1,1] [[1,4,6],[2],[3],[5]]=>[3,1,1,1]=>[4,1,1] [[1,3,6],[2],[4],[5]]=>[3,1,1,1]=>[4,1,1] [[1,2,6],[3],[4],[5]]=>[3,1,1,1]=>[4,1,1] [[1,4,5],[2],[3],[6]]=>[3,1,1,1]=>[4,1,1] [[1,3,5],[2],[4],[6]]=>[3,1,1,1]=>[4,1,1] [[1,2,5],[3],[4],[6]]=>[3,1,1,1]=>[4,1,1] [[1,3,4],[2],[5],[6]]=>[3,1,1,1]=>[4,1,1] [[1,2,4],[3],[5],[6]]=>[3,1,1,1]=>[4,1,1] [[1,2,3],[4],[5],[6]]=>[3,1,1,1]=>[4,1,1] [[1,4],[2,5],[3,6]]=>[2,2,2]=>[3,3] [[1,3],[2,5],[4,6]]=>[2,2,2]=>[3,3] [[1,2],[3,5],[4,6]]=>[2,2,2]=>[3,3] [[1,3],[2,4],[5,6]]=>[2,2,2]=>[3,3] [[1,2],[3,4],[5,6]]=>[2,2,2]=>[3,3] [[1,5],[2,6],[3],[4]]=>[2,2,1,1]=>[4,2] [[1,4],[2,6],[3],[5]]=>[2,2,1,1]=>[4,2] [[1,3],[2,6],[4],[5]]=>[2,2,1,1]=>[4,2] [[1,2],[3,6],[4],[5]]=>[2,2,1,1]=>[4,2] [[1,4],[2,5],[3],[6]]=>[2,2,1,1]=>[4,2] [[1,3],[2,5],[4],[6]]=>[2,2,1,1]=>[4,2] [[1,2],[3,5],[4],[6]]=>[2,2,1,1]=>[4,2] [[1,3],[2,4],[5],[6]]=>[2,2,1,1]=>[4,2] [[1,2],[3,4],[5],[6]]=>[2,2,1,1]=>[4,2] [[1,6],[2],[3],[4],[5]]=>[2,1,1,1,1]=>[5,1] [[1,5],[2],[3],[4],[6]]=>[2,1,1,1,1]=>[5,1] [[1,4],[2],[3],[5],[6]]=>[2,1,1,1,1]=>[5,1] [[1,3],[2],[4],[5],[6]]=>[2,1,1,1,1]=>[5,1] [[1,2],[3],[4],[5],[6]]=>[2,1,1,1,1]=>[5,1] [[1],[2],[3],[4],[5],[6]]=>[1,1,1,1,1,1]=>[6] [[1,2,3,4,5,6,7]]=>[7]=>[1,1,1,1,1,1,1] [[1,3,4,5,6,7],[2]]=>[6,1]=>[2,1,1,1,1,1] [[1,2,4,5,6,7],[3]]=>[6,1]=>[2,1,1,1,1,1] [[1,2,3,5,6,7],[4]]=>[6,1]=>[2,1,1,1,1,1] [[1,2,3,4,6,7],[5]]=>[6,1]=>[2,1,1,1,1,1] [[1,2,3,4,5,7],[6]]=>[6,1]=>[2,1,1,1,1,1] [[1,2,3,4,5,6],[7]]=>[6,1]=>[2,1,1,1,1,1] [[1,3,5,6,7],[2,4]]=>[5,2]=>[2,2,1,1,1] [[1,2,5,6,7],[3,4]]=>[5,2]=>[2,2,1,1,1] [[1,3,4,6,7],[2,5]]=>[5,2]=>[2,2,1,1,1] [[1,2,4,6,7],[3,5]]=>[5,2]=>[2,2,1,1,1] [[1,2,3,6,7],[4,5]]=>[5,2]=>[2,2,1,1,1] [[1,3,4,5,7],[2,6]]=>[5,2]=>[2,2,1,1,1] [[1,2,4,5,7],[3,6]]=>[5,2]=>[2,2,1,1,1] [[1,2,3,5,7],[4,6]]=>[5,2]=>[2,2,1,1,1] [[1,2,3,4,7],[5,6]]=>[5,2]=>[2,2,1,1,1] [[1,3,4,5,6],[2,7]]=>[5,2]=>[2,2,1,1,1] [[1,2,4,5,6],[3,7]]=>[5,2]=>[2,2,1,1,1] [[1,2,3,5,6],[4,7]]=>[5,2]=>[2,2,1,1,1] [[1,2,3,4,6],[5,7]]=>[5,2]=>[2,2,1,1,1] [[1,2,3,4,5],[6,7]]=>[5,2]=>[2,2,1,1,1] [[1,4,5,6,7],[2],[3]]=>[5,1,1]=>[3,1,1,1,1] [[1,3,5,6,7],[2],[4]]=>[5,1,1]=>[3,1,1,1,1] [[1,2,5,6,7],[3],[4]]=>[5,1,1]=>[3,1,1,1,1] [[1,3,4,6,7],[2],[5]]=>[5,1,1]=>[3,1,1,1,1] [[1,2,4,6,7],[3],[5]]=>[5,1,1]=>[3,1,1,1,1] [[1,2,3,6,7],[4],[5]]=>[5,1,1]=>[3,1,1,1,1] [[1,3,4,5,7],[2],[6]]=>[5,1,1]=>[3,1,1,1,1] [[1,2,4,5,7],[3],[6]]=>[5,1,1]=>[3,1,1,1,1] [[1,2,3,5,7],[4],[6]]=>[5,1,1]=>[3,1,1,1,1] [[1,2,3,4,7],[5],[6]]=>[5,1,1]=>[3,1,1,1,1] [[1,3,4,5,6],[2],[7]]=>[5,1,1]=>[3,1,1,1,1] [[1,2,4,5,6],[3],[7]]=>[5,1,1]=>[3,1,1,1,1] [[1,2,3,5,6],[4],[7]]=>[5,1,1]=>[3,1,1,1,1] [[1,2,3,4,6],[5],[7]]=>[5,1,1]=>[3,1,1,1,1] [[1,2,3,4,5],[6],[7]]=>[5,1,1]=>[3,1,1,1,1] [[1,3,5,7],[2,4,6]]=>[4,3]=>[2,2,2,1] [[1,2,5,7],[3,4,6]]=>[4,3]=>[2,2,2,1] [[1,3,4,7],[2,5,6]]=>[4,3]=>[2,2,2,1] [[1,2,4,7],[3,5,6]]=>[4,3]=>[2,2,2,1] [[1,2,3,7],[4,5,6]]=>[4,3]=>[2,2,2,1] [[1,3,5,6],[2,4,7]]=>[4,3]=>[2,2,2,1] [[1,2,5,6],[3,4,7]]=>[4,3]=>[2,2,2,1] [[1,3,4,6],[2,5,7]]=>[4,3]=>[2,2,2,1] [[1,2,4,6],[3,5,7]]=>[4,3]=>[2,2,2,1] [[1,2,3,6],[4,5,7]]=>[4,3]=>[2,2,2,1] [[1,3,4,5],[2,6,7]]=>[4,3]=>[2,2,2,1] [[1,2,4,5],[3,6,7]]=>[4,3]=>[2,2,2,1] [[1,2,3,5],[4,6,7]]=>[4,3]=>[2,2,2,1] [[1,2,3,4],[5,6,7]]=>[4,3]=>[2,2,2,1] [[1,4,6,7],[2,5],[3]]=>[4,2,1]=>[3,2,1,1] [[1,3,6,7],[2,5],[4]]=>[4,2,1]=>[3,2,1,1] [[1,2,6,7],[3,5],[4]]=>[4,2,1]=>[3,2,1,1] [[1,3,6,7],[2,4],[5]]=>[4,2,1]=>[3,2,1,1] [[1,2,6,7],[3,4],[5]]=>[4,2,1]=>[3,2,1,1] [[1,4,5,7],[2,6],[3]]=>[4,2,1]=>[3,2,1,1] [[1,3,5,7],[2,6],[4]]=>[4,2,1]=>[3,2,1,1] [[1,2,5,7],[3,6],[4]]=>[4,2,1]=>[3,2,1,1] [[1,3,4,7],[2,6],[5]]=>[4,2,1]=>[3,2,1,1] [[1,2,4,7],[3,6],[5]]=>[4,2,1]=>[3,2,1,1] [[1,2,3,7],[4,6],[5]]=>[4,2,1]=>[3,2,1,1] [[1,3,5,7],[2,4],[6]]=>[4,2,1]=>[3,2,1,1] [[1,2,5,7],[3,4],[6]]=>[4,2,1]=>[3,2,1,1] [[1,3,4,7],[2,5],[6]]=>[4,2,1]=>[3,2,1,1] [[1,2,4,7],[3,5],[6]]=>[4,2,1]=>[3,2,1,1] [[1,2,3,7],[4,5],[6]]=>[4,2,1]=>[3,2,1,1] [[1,4,5,6],[2,7],[3]]=>[4,2,1]=>[3,2,1,1] [[1,3,5,6],[2,7],[4]]=>[4,2,1]=>[3,2,1,1] [[1,2,5,6],[3,7],[4]]=>[4,2,1]=>[3,2,1,1] [[1,3,4,6],[2,7],[5]]=>[4,2,1]=>[3,2,1,1] [[1,2,4,6],[3,7],[5]]=>[4,2,1]=>[3,2,1,1] [[1,2,3,6],[4,7],[5]]=>[4,2,1]=>[3,2,1,1] [[1,3,4,5],[2,7],[6]]=>[4,2,1]=>[3,2,1,1] [[1,2,4,5],[3,7],[6]]=>[4,2,1]=>[3,2,1,1] [[1,2,3,5],[4,7],[6]]=>[4,2,1]=>[3,2,1,1] [[1,2,3,4],[5,7],[6]]=>[4,2,1]=>[3,2,1,1] [[1,3,5,6],[2,4],[7]]=>[4,2,1]=>[3,2,1,1] [[1,2,5,6],[3,4],[7]]=>[4,2,1]=>[3,2,1,1] [[1,3,4,6],[2,5],[7]]=>[4,2,1]=>[3,2,1,1] [[1,2,4,6],[3,5],[7]]=>[4,2,1]=>[3,2,1,1] [[1,2,3,6],[4,5],[7]]=>[4,2,1]=>[3,2,1,1] [[1,3,4,5],[2,6],[7]]=>[4,2,1]=>[3,2,1,1] [[1,2,4,5],[3,6],[7]]=>[4,2,1]=>[3,2,1,1] [[1,2,3,5],[4,6],[7]]=>[4,2,1]=>[3,2,1,1] [[1,2,3,4],[5,6],[7]]=>[4,2,1]=>[3,2,1,1] [[1,5,6,7],[2],[3],[4]]=>[4,1,1,1]=>[4,1,1,1] [[1,4,6,7],[2],[3],[5]]=>[4,1,1,1]=>[4,1,1,1] [[1,3,6,7],[2],[4],[5]]=>[4,1,1,1]=>[4,1,1,1] [[1,2,6,7],[3],[4],[5]]=>[4,1,1,1]=>[4,1,1,1] [[1,4,5,7],[2],[3],[6]]=>[4,1,1,1]=>[4,1,1,1] [[1,3,5,7],[2],[4],[6]]=>[4,1,1,1]=>[4,1,1,1] [[1,2,5,7],[3],[4],[6]]=>[4,1,1,1]=>[4,1,1,1] [[1,3,4,7],[2],[5],[6]]=>[4,1,1,1]=>[4,1,1,1] [[1,2,4,7],[3],[5],[6]]=>[4,1,1,1]=>[4,1,1,1] [[1,2,3,7],[4],[5],[6]]=>[4,1,1,1]=>[4,1,1,1] [[1,4,5,6],[2],[3],[7]]=>[4,1,1,1]=>[4,1,1,1] [[1,3,5,6],[2],[4],[7]]=>[4,1,1,1]=>[4,1,1,1] [[1,2,5,6],[3],[4],[7]]=>[4,1,1,1]=>[4,1,1,1] [[1,3,4,6],[2],[5],[7]]=>[4,1,1,1]=>[4,1,1,1] [[1,2,4,6],[3],[5],[7]]=>[4,1,1,1]=>[4,1,1,1] [[1,2,3,6],[4],[5],[7]]=>[4,1,1,1]=>[4,1,1,1] [[1,3,4,5],[2],[6],[7]]=>[4,1,1,1]=>[4,1,1,1] [[1,2,4,5],[3],[6],[7]]=>[4,1,1,1]=>[4,1,1,1] [[1,2,3,5],[4],[6],[7]]=>[4,1,1,1]=>[4,1,1,1] [[1,2,3,4],[5],[6],[7]]=>[4,1,1,1]=>[4,1,1,1] [[1,4,6],[2,5,7],[3]]=>[3,3,1]=>[3,2,2] [[1,3,6],[2,5,7],[4]]=>[3,3,1]=>[3,2,2] [[1,2,6],[3,5,7],[4]]=>[3,3,1]=>[3,2,2] [[1,3,6],[2,4,7],[5]]=>[3,3,1]=>[3,2,2] [[1,2,6],[3,4,7],[5]]=>[3,3,1]=>[3,2,2] [[1,4,5],[2,6,7],[3]]=>[3,3,1]=>[3,2,2] [[1,3,5],[2,6,7],[4]]=>[3,3,1]=>[3,2,2] [[1,2,5],[3,6,7],[4]]=>[3,3,1]=>[3,2,2] [[1,3,4],[2,6,7],[5]]=>[3,3,1]=>[3,2,2] [[1,2,4],[3,6,7],[5]]=>[3,3,1]=>[3,2,2] [[1,2,3],[4,6,7],[5]]=>[3,3,1]=>[3,2,2] [[1,3,5],[2,4,7],[6]]=>[3,3,1]=>[3,2,2] [[1,2,5],[3,4,7],[6]]=>[3,3,1]=>[3,2,2] [[1,3,4],[2,5,7],[6]]=>[3,3,1]=>[3,2,2] [[1,2,4],[3,5,7],[6]]=>[3,3,1]=>[3,2,2] [[1,2,3],[4,5,7],[6]]=>[3,3,1]=>[3,2,2] [[1,3,5],[2,4,6],[7]]=>[3,3,1]=>[3,2,2] [[1,2,5],[3,4,6],[7]]=>[3,3,1]=>[3,2,2] [[1,3,4],[2,5,6],[7]]=>[3,3,1]=>[3,2,2] [[1,2,4],[3,5,6],[7]]=>[3,3,1]=>[3,2,2] [[1,2,3],[4,5,6],[7]]=>[3,3,1]=>[3,2,2] [[1,4,7],[2,5],[3,6]]=>[3,2,2]=>[3,3,1] [[1,3,7],[2,5],[4,6]]=>[3,2,2]=>[3,3,1] [[1,2,7],[3,5],[4,6]]=>[3,2,2]=>[3,3,1] [[1,3,7],[2,4],[5,6]]=>[3,2,2]=>[3,3,1] [[1,2,7],[3,4],[5,6]]=>[3,2,2]=>[3,3,1] [[1,4,6],[2,5],[3,7]]=>[3,2,2]=>[3,3,1] [[1,3,6],[2,5],[4,7]]=>[3,2,2]=>[3,3,1] [[1,2,6],[3,5],[4,7]]=>[3,2,2]=>[3,3,1] [[1,3,6],[2,4],[5,7]]=>[3,2,2]=>[3,3,1] [[1,2,6],[3,4],[5,7]]=>[3,2,2]=>[3,3,1] [[1,4,5],[2,6],[3,7]]=>[3,2,2]=>[3,3,1] [[1,3,5],[2,6],[4,7]]=>[3,2,2]=>[3,3,1] [[1,2,5],[3,6],[4,7]]=>[3,2,2]=>[3,3,1] [[1,3,4],[2,6],[5,7]]=>[3,2,2]=>[3,3,1] [[1,2,4],[3,6],[5,7]]=>[3,2,2]=>[3,3,1] [[1,2,3],[4,6],[5,7]]=>[3,2,2]=>[3,3,1] [[1,3,5],[2,4],[6,7]]=>[3,2,2]=>[3,3,1] [[1,2,5],[3,4],[6,7]]=>[3,2,2]=>[3,3,1] [[1,3,4],[2,5],[6,7]]=>[3,2,2]=>[3,3,1] [[1,2,4],[3,5],[6,7]]=>[3,2,2]=>[3,3,1] [[1,2,3],[4,5],[6,7]]=>[3,2,2]=>[3,3,1] [[1,5,7],[2,6],[3],[4]]=>[3,2,1,1]=>[4,2,1] [[1,4,7],[2,6],[3],[5]]=>[3,2,1,1]=>[4,2,1] [[1,3,7],[2,6],[4],[5]]=>[3,2,1,1]=>[4,2,1] [[1,2,7],[3,6],[4],[5]]=>[3,2,1,1]=>[4,2,1] [[1,4,7],[2,5],[3],[6]]=>[3,2,1,1]=>[4,2,1] [[1,3,7],[2,5],[4],[6]]=>[3,2,1,1]=>[4,2,1] [[1,2,7],[3,5],[4],[6]]=>[3,2,1,1]=>[4,2,1] [[1,3,7],[2,4],[5],[6]]=>[3,2,1,1]=>[4,2,1] [[1,2,7],[3,4],[5],[6]]=>[3,2,1,1]=>[4,2,1] [[1,5,6],[2,7],[3],[4]]=>[3,2,1,1]=>[4,2,1] [[1,4,6],[2,7],[3],[5]]=>[3,2,1,1]=>[4,2,1] [[1,3,6],[2,7],[4],[5]]=>[3,2,1,1]=>[4,2,1] [[1,2,6],[3,7],[4],[5]]=>[3,2,1,1]=>[4,2,1] [[1,4,5],[2,7],[3],[6]]=>[3,2,1,1]=>[4,2,1] [[1,3,5],[2,7],[4],[6]]=>[3,2,1,1]=>[4,2,1] [[1,2,5],[3,7],[4],[6]]=>[3,2,1,1]=>[4,2,1] [[1,3,4],[2,7],[5],[6]]=>[3,2,1,1]=>[4,2,1] [[1,2,4],[3,7],[5],[6]]=>[3,2,1,1]=>[4,2,1] [[1,2,3],[4,7],[5],[6]]=>[3,2,1,1]=>[4,2,1] [[1,4,6],[2,5],[3],[7]]=>[3,2,1,1]=>[4,2,1] [[1,3,6],[2,5],[4],[7]]=>[3,2,1,1]=>[4,2,1] [[1,2,6],[3,5],[4],[7]]=>[3,2,1,1]=>[4,2,1] [[1,3,6],[2,4],[5],[7]]=>[3,2,1,1]=>[4,2,1] [[1,2,6],[3,4],[5],[7]]=>[3,2,1,1]=>[4,2,1] [[1,4,5],[2,6],[3],[7]]=>[3,2,1,1]=>[4,2,1] [[1,3,5],[2,6],[4],[7]]=>[3,2,1,1]=>[4,2,1] [[1,2,5],[3,6],[4],[7]]=>[3,2,1,1]=>[4,2,1] [[1,3,4],[2,6],[5],[7]]=>[3,2,1,1]=>[4,2,1] [[1,2,4],[3,6],[5],[7]]=>[3,2,1,1]=>[4,2,1] [[1,2,3],[4,6],[5],[7]]=>[3,2,1,1]=>[4,2,1] [[1,3,5],[2,4],[6],[7]]=>[3,2,1,1]=>[4,2,1] [[1,2,5],[3,4],[6],[7]]=>[3,2,1,1]=>[4,2,1] [[1,3,4],[2,5],[6],[7]]=>[3,2,1,1]=>[4,2,1] [[1,2,4],[3,5],[6],[7]]=>[3,2,1,1]=>[4,2,1] [[1,2,3],[4,5],[6],[7]]=>[3,2,1,1]=>[4,2,1] [[1,6,7],[2],[3],[4],[5]]=>[3,1,1,1,1]=>[5,1,1] [[1,5,7],[2],[3],[4],[6]]=>[3,1,1,1,1]=>[5,1,1] [[1,4,7],[2],[3],[5],[6]]=>[3,1,1,1,1]=>[5,1,1] [[1,3,7],[2],[4],[5],[6]]=>[3,1,1,1,1]=>[5,1,1] [[1,2,7],[3],[4],[5],[6]]=>[3,1,1,1,1]=>[5,1,1] [[1,5,6],[2],[3],[4],[7]]=>[3,1,1,1,1]=>[5,1,1] [[1,4,6],[2],[3],[5],[7]]=>[3,1,1,1,1]=>[5,1,1] [[1,3,6],[2],[4],[5],[7]]=>[3,1,1,1,1]=>[5,1,1] [[1,2,6],[3],[4],[5],[7]]=>[3,1,1,1,1]=>[5,1,1] [[1,4,5],[2],[3],[6],[7]]=>[3,1,1,1,1]=>[5,1,1] [[1,3,5],[2],[4],[6],[7]]=>[3,1,1,1,1]=>[5,1,1] [[1,2,5],[3],[4],[6],[7]]=>[3,1,1,1,1]=>[5,1,1] [[1,3,4],[2],[5],[6],[7]]=>[3,1,1,1,1]=>[5,1,1] [[1,2,4],[3],[5],[6],[7]]=>[3,1,1,1,1]=>[5,1,1] [[1,2,3],[4],[5],[6],[7]]=>[3,1,1,1,1]=>[5,1,1] [[1,5],[2,6],[3,7],[4]]=>[2,2,2,1]=>[4,3] [[1,4],[2,6],[3,7],[5]]=>[2,2,2,1]=>[4,3] [[1,3],[2,6],[4,7],[5]]=>[2,2,2,1]=>[4,3] [[1,2],[3,6],[4,7],[5]]=>[2,2,2,1]=>[4,3] [[1,4],[2,5],[3,7],[6]]=>[2,2,2,1]=>[4,3] [[1,3],[2,5],[4,7],[6]]=>[2,2,2,1]=>[4,3] [[1,2],[3,5],[4,7],[6]]=>[2,2,2,1]=>[4,3] [[1,3],[2,4],[5,7],[6]]=>[2,2,2,1]=>[4,3] [[1,2],[3,4],[5,7],[6]]=>[2,2,2,1]=>[4,3] [[1,4],[2,5],[3,6],[7]]=>[2,2,2,1]=>[4,3] [[1,3],[2,5],[4,6],[7]]=>[2,2,2,1]=>[4,3] [[1,2],[3,5],[4,6],[7]]=>[2,2,2,1]=>[4,3] [[1,3],[2,4],[5,6],[7]]=>[2,2,2,1]=>[4,3] [[1,2],[3,4],[5,6],[7]]=>[2,2,2,1]=>[4,3] [[1,6],[2,7],[3],[4],[5]]=>[2,2,1,1,1]=>[5,2] [[1,5],[2,7],[3],[4],[6]]=>[2,2,1,1,1]=>[5,2] [[1,4],[2,7],[3],[5],[6]]=>[2,2,1,1,1]=>[5,2] [[1,3],[2,7],[4],[5],[6]]=>[2,2,1,1,1]=>[5,2] [[1,2],[3,7],[4],[5],[6]]=>[2,2,1,1,1]=>[5,2] [[1,5],[2,6],[3],[4],[7]]=>[2,2,1,1,1]=>[5,2] [[1,4],[2,6],[3],[5],[7]]=>[2,2,1,1,1]=>[5,2] [[1,3],[2,6],[4],[5],[7]]=>[2,2,1,1,1]=>[5,2] [[1,2],[3,6],[4],[5],[7]]=>[2,2,1,1,1]=>[5,2] [[1,4],[2,5],[3],[6],[7]]=>[2,2,1,1,1]=>[5,2] [[1,3],[2,5],[4],[6],[7]]=>[2,2,1,1,1]=>[5,2] [[1,2],[3,5],[4],[6],[7]]=>[2,2,1,1,1]=>[5,2] [[1,3],[2,4],[5],[6],[7]]=>[2,2,1,1,1]=>[5,2] [[1,2],[3,4],[5],[6],[7]]=>[2,2,1,1,1]=>[5,2] [[1,7],[2],[3],[4],[5],[6]]=>[2,1,1,1,1,1]=>[6,1] [[1,6],[2],[3],[4],[5],[7]]=>[2,1,1,1,1,1]=>[6,1] [[1,5],[2],[3],[4],[6],[7]]=>[2,1,1,1,1,1]=>[6,1] [[1,4],[2],[3],[5],[6],[7]]=>[2,1,1,1,1,1]=>[6,1] [[1,3],[2],[4],[5],[6],[7]]=>[2,1,1,1,1,1]=>[6,1] [[1,2],[3],[4],[5],[6],[7]]=>[2,1,1,1,1,1]=>[6,1] [[1],[2],[3],[4],[5],[6],[7]]=>[1,1,1,1,1,1,1]=>[7] [[1,2,3,4,5,6,7,8]]=>[8]=>[1,1,1,1,1,1,1,1] [[1,3,4,5,6,7,8],[2]]=>[7,1]=>[2,1,1,1,1,1,1] [[1,2,4,5,6,7,8],[3]]=>[7,1]=>[2,1,1,1,1,1,1] [[1,2,3,5,6,7,8],[4]]=>[7,1]=>[2,1,1,1,1,1,1] [[1,2,3,4,6,7,8],[5]]=>[7,1]=>[2,1,1,1,1,1,1] [[1,2,3,4,5,7,8],[6]]=>[7,1]=>[2,1,1,1,1,1,1] [[1,2,3,4,5,6,8],[7]]=>[7,1]=>[2,1,1,1,1,1,1] [[1,2,3,4,5,6,7],[8]]=>[7,1]=>[2,1,1,1,1,1,1] [[1,3,5,6,7,8],[2,4]]=>[6,2]=>[2,2,1,1,1,1] [[1,2,5,6,7,8],[3,4]]=>[6,2]=>[2,2,1,1,1,1] [[1,3,4,6,7,8],[2,5]]=>[6,2]=>[2,2,1,1,1,1] [[1,2,4,6,7,8],[3,5]]=>[6,2]=>[2,2,1,1,1,1] [[1,2,3,6,7,8],[4,5]]=>[6,2]=>[2,2,1,1,1,1] [[1,3,4,5,7,8],[2,6]]=>[6,2]=>[2,2,1,1,1,1] [[1,2,4,5,7,8],[3,6]]=>[6,2]=>[2,2,1,1,1,1] [[1,2,3,5,7,8],[4,6]]=>[6,2]=>[2,2,1,1,1,1] [[1,2,3,4,7,8],[5,6]]=>[6,2]=>[2,2,1,1,1,1] [[1,3,4,5,6,8],[2,7]]=>[6,2]=>[2,2,1,1,1,1] [[1,2,4,5,6,8],[3,7]]=>[6,2]=>[2,2,1,1,1,1] [[1,2,3,5,6,8],[4,7]]=>[6,2]=>[2,2,1,1,1,1] [[1,2,3,4,6,8],[5,7]]=>[6,2]=>[2,2,1,1,1,1] [[1,2,3,4,5,8],[6,7]]=>[6,2]=>[2,2,1,1,1,1] [[1,3,4,5,6,7],[2,8]]=>[6,2]=>[2,2,1,1,1,1] [[1,2,4,5,6,7],[3,8]]=>[6,2]=>[2,2,1,1,1,1] [[1,2,3,5,6,7],[4,8]]=>[6,2]=>[2,2,1,1,1,1] [[1,2,3,4,6,7],[5,8]]=>[6,2]=>[2,2,1,1,1,1] [[1,2,3,4,5,7],[6,8]]=>[6,2]=>[2,2,1,1,1,1] [[1,2,3,4,5,6],[7,8]]=>[6,2]=>[2,2,1,1,1,1] [[1,4,5,6,7,8],[2],[3]]=>[6,1,1]=>[3,1,1,1,1,1] [[1,3,5,6,7,8],[2],[4]]=>[6,1,1]=>[3,1,1,1,1,1] [[1,2,5,6,7,8],[3],[4]]=>[6,1,1]=>[3,1,1,1,1,1] [[1,3,4,6,7,8],[2],[5]]=>[6,1,1]=>[3,1,1,1,1,1] [[1,2,4,6,7,8],[3],[5]]=>[6,1,1]=>[3,1,1,1,1,1] [[1,2,3,6,7,8],[4],[5]]=>[6,1,1]=>[3,1,1,1,1,1] [[1,3,4,5,7,8],[2],[6]]=>[6,1,1]=>[3,1,1,1,1,1] [[1,2,4,5,7,8],[3],[6]]=>[6,1,1]=>[3,1,1,1,1,1] [[1,2,3,5,7,8],[4],[6]]=>[6,1,1]=>[3,1,1,1,1,1] [[1,2,3,4,7,8],[5],[6]]=>[6,1,1]=>[3,1,1,1,1,1] [[1,3,4,5,6,8],[2],[7]]=>[6,1,1]=>[3,1,1,1,1,1] [[1,2,4,5,6,8],[3],[7]]=>[6,1,1]=>[3,1,1,1,1,1] [[1,2,3,5,6,8],[4],[7]]=>[6,1,1]=>[3,1,1,1,1,1] [[1,2,3,4,6,8],[5],[7]]=>[6,1,1]=>[3,1,1,1,1,1] [[1,2,3,4,5,8],[6],[7]]=>[6,1,1]=>[3,1,1,1,1,1] [[1,3,4,5,6,7],[2],[8]]=>[6,1,1]=>[3,1,1,1,1,1] [[1,2,4,5,6,7],[3],[8]]=>[6,1,1]=>[3,1,1,1,1,1] [[1,2,3,5,6,7],[4],[8]]=>[6,1,1]=>[3,1,1,1,1,1] [[1,2,3,4,6,7],[5],[8]]=>[6,1,1]=>[3,1,1,1,1,1] [[1,2,3,4,5,7],[6],[8]]=>[6,1,1]=>[3,1,1,1,1,1] [[1,2,3,4,5,6],[7],[8]]=>[6,1,1]=>[3,1,1,1,1,1] [[1,3,5,7,8],[2,4,6]]=>[5,3]=>[2,2,2,1,1] [[1,2,5,7,8],[3,4,6]]=>[5,3]=>[2,2,2,1,1] [[1,3,4,7,8],[2,5,6]]=>[5,3]=>[2,2,2,1,1] [[1,2,4,7,8],[3,5,6]]=>[5,3]=>[2,2,2,1,1] [[1,2,3,7,8],[4,5,6]]=>[5,3]=>[2,2,2,1,1] [[1,3,5,6,8],[2,4,7]]=>[5,3]=>[2,2,2,1,1] [[1,2,5,6,8],[3,4,7]]=>[5,3]=>[2,2,2,1,1] [[1,3,4,6,8],[2,5,7]]=>[5,3]=>[2,2,2,1,1] [[1,2,4,6,8],[3,5,7]]=>[5,3]=>[2,2,2,1,1] [[1,2,3,6,8],[4,5,7]]=>[5,3]=>[2,2,2,1,1] [[1,3,4,5,8],[2,6,7]]=>[5,3]=>[2,2,2,1,1] [[1,2,4,5,8],[3,6,7]]=>[5,3]=>[2,2,2,1,1] [[1,2,3,5,8],[4,6,7]]=>[5,3]=>[2,2,2,1,1] [[1,2,3,4,8],[5,6,7]]=>[5,3]=>[2,2,2,1,1] [[1,3,5,6,7],[2,4,8]]=>[5,3]=>[2,2,2,1,1] [[1,2,5,6,7],[3,4,8]]=>[5,3]=>[2,2,2,1,1] [[1,3,4,6,7],[2,5,8]]=>[5,3]=>[2,2,2,1,1] [[1,2,4,6,7],[3,5,8]]=>[5,3]=>[2,2,2,1,1] [[1,2,3,6,7],[4,5,8]]=>[5,3]=>[2,2,2,1,1] [[1,3,4,5,7],[2,6,8]]=>[5,3]=>[2,2,2,1,1] [[1,2,4,5,7],[3,6,8]]=>[5,3]=>[2,2,2,1,1] [[1,2,3,5,7],[4,6,8]]=>[5,3]=>[2,2,2,1,1] [[1,2,3,4,7],[5,6,8]]=>[5,3]=>[2,2,2,1,1] [[1,3,4,5,6],[2,7,8]]=>[5,3]=>[2,2,2,1,1] [[1,2,4,5,6],[3,7,8]]=>[5,3]=>[2,2,2,1,1] [[1,2,3,5,6],[4,7,8]]=>[5,3]=>[2,2,2,1,1] [[1,2,3,4,6],[5,7,8]]=>[5,3]=>[2,2,2,1,1] [[1,2,3,4,5],[6,7,8]]=>[5,3]=>[2,2,2,1,1] [[1,4,6,7,8],[2,5],[3]]=>[5,2,1]=>[3,2,1,1,1] [[1,3,6,7,8],[2,5],[4]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,6,7,8],[3,5],[4]]=>[5,2,1]=>[3,2,1,1,1] [[1,3,6,7,8],[2,4],[5]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,6,7,8],[3,4],[5]]=>[5,2,1]=>[3,2,1,1,1] [[1,4,5,7,8],[2,6],[3]]=>[5,2,1]=>[3,2,1,1,1] [[1,3,5,7,8],[2,6],[4]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,5,7,8],[3,6],[4]]=>[5,2,1]=>[3,2,1,1,1] [[1,3,4,7,8],[2,6],[5]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,4,7,8],[3,6],[5]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,3,7,8],[4,6],[5]]=>[5,2,1]=>[3,2,1,1,1] [[1,3,5,7,8],[2,4],[6]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,5,7,8],[3,4],[6]]=>[5,2,1]=>[3,2,1,1,1] [[1,3,4,7,8],[2,5],[6]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,4,7,8],[3,5],[6]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,3,7,8],[4,5],[6]]=>[5,2,1]=>[3,2,1,1,1] [[1,4,5,6,8],[2,7],[3]]=>[5,2,1]=>[3,2,1,1,1] [[1,3,5,6,8],[2,7],[4]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,5,6,8],[3,7],[4]]=>[5,2,1]=>[3,2,1,1,1] [[1,3,4,6,8],[2,7],[5]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,4,6,8],[3,7],[5]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,3,6,8],[4,7],[5]]=>[5,2,1]=>[3,2,1,1,1] [[1,3,4,5,8],[2,7],[6]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,4,5,8],[3,7],[6]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,3,5,8],[4,7],[6]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,3,4,8],[5,7],[6]]=>[5,2,1]=>[3,2,1,1,1] [[1,3,5,6,8],[2,4],[7]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,5,6,8],[3,4],[7]]=>[5,2,1]=>[3,2,1,1,1] [[1,3,4,6,8],[2,5],[7]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,4,6,8],[3,5],[7]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,3,6,8],[4,5],[7]]=>[5,2,1]=>[3,2,1,1,1] [[1,3,4,5,8],[2,6],[7]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,4,5,8],[3,6],[7]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,3,5,8],[4,6],[7]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,3,4,8],[5,6],[7]]=>[5,2,1]=>[3,2,1,1,1] [[1,4,5,6,7],[2,8],[3]]=>[5,2,1]=>[3,2,1,1,1] [[1,3,5,6,7],[2,8],[4]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,5,6,7],[3,8],[4]]=>[5,2,1]=>[3,2,1,1,1] [[1,3,4,6,7],[2,8],[5]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,4,6,7],[3,8],[5]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,3,6,7],[4,8],[5]]=>[5,2,1]=>[3,2,1,1,1] [[1,3,4,5,7],[2,8],[6]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,4,5,7],[3,8],[6]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,3,5,7],[4,8],[6]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,3,4,7],[5,8],[6]]=>[5,2,1]=>[3,2,1,1,1] [[1,3,4,5,6],[2,8],[7]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,4,5,6],[3,8],[7]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,3,5,6],[4,8],[7]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,3,4,6],[5,8],[7]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,3,4,5],[6,8],[7]]=>[5,2,1]=>[3,2,1,1,1] [[1,3,5,6,7],[2,4],[8]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,5,6,7],[3,4],[8]]=>[5,2,1]=>[3,2,1,1,1] [[1,3,4,6,7],[2,5],[8]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,4,6,7],[3,5],[8]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,3,6,7],[4,5],[8]]=>[5,2,1]=>[3,2,1,1,1] [[1,3,4,5,7],[2,6],[8]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,4,5,7],[3,6],[8]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,3,5,7],[4,6],[8]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,3,4,7],[5,6],[8]]=>[5,2,1]=>[3,2,1,1,1] [[1,3,4,5,6],[2,7],[8]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,4,5,6],[3,7],[8]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,3,5,6],[4,7],[8]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,3,4,6],[5,7],[8]]=>[5,2,1]=>[3,2,1,1,1] [[1,2,3,4,5],[6,7],[8]]=>[5,2,1]=>[3,2,1,1,1] [[1,5,6,7,8],[2],[3],[4]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,4,6,7,8],[2],[3],[5]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,3,6,7,8],[2],[4],[5]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,2,6,7,8],[3],[4],[5]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,4,5,7,8],[2],[3],[6]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,3,5,7,8],[2],[4],[6]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,2,5,7,8],[3],[4],[6]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,3,4,7,8],[2],[5],[6]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,2,4,7,8],[3],[5],[6]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,2,3,7,8],[4],[5],[6]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,4,5,6,8],[2],[3],[7]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,3,5,6,8],[2],[4],[7]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,2,5,6,8],[3],[4],[7]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,3,4,6,8],[2],[5],[7]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,2,4,6,8],[3],[5],[7]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,2,3,6,8],[4],[5],[7]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,3,4,5,8],[2],[6],[7]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,2,4,5,8],[3],[6],[7]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,2,3,5,8],[4],[6],[7]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,2,3,4,8],[5],[6],[7]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,4,5,6,7],[2],[3],[8]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,3,5,6,7],[2],[4],[8]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,2,5,6,7],[3],[4],[8]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,3,4,6,7],[2],[5],[8]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,2,4,6,7],[3],[5],[8]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,2,3,6,7],[4],[5],[8]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,3,4,5,7],[2],[6],[8]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,2,4,5,7],[3],[6],[8]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,2,3,5,7],[4],[6],[8]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,2,3,4,7],[5],[6],[8]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,3,4,5,6],[2],[7],[8]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,2,4,5,6],[3],[7],[8]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,2,3,5,6],[4],[7],[8]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,2,3,4,6],[5],[7],[8]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,2,3,4,5],[6],[7],[8]]=>[5,1,1,1]=>[4,1,1,1,1] [[1,3,5,7],[2,4,6,8]]=>[4,4]=>[2,2,2,2] [[1,2,5,7],[3,4,6,8]]=>[4,4]=>[2,2,2,2] [[1,3,4,7],[2,5,6,8]]=>[4,4]=>[2,2,2,2] [[1,2,4,7],[3,5,6,8]]=>[4,4]=>[2,2,2,2] [[1,2,3,7],[4,5,6,8]]=>[4,4]=>[2,2,2,2] [[1,3,5,6],[2,4,7,8]]=>[4,4]=>[2,2,2,2] [[1,2,5,6],[3,4,7,8]]=>[4,4]=>[2,2,2,2] [[1,3,4,6],[2,5,7,8]]=>[4,4]=>[2,2,2,2] [[1,2,4,6],[3,5,7,8]]=>[4,4]=>[2,2,2,2] [[1,2,3,6],[4,5,7,8]]=>[4,4]=>[2,2,2,2] [[1,3,4,5],[2,6,7,8]]=>[4,4]=>[2,2,2,2] [[1,2,4,5],[3,6,7,8]]=>[4,4]=>[2,2,2,2] [[1,2,3,5],[4,6,7,8]]=>[4,4]=>[2,2,2,2] [[1,2,3,4],[5,6,7,8]]=>[4,4]=>[2,2,2,2] [[1,4,6,8],[2,5,7],[3]]=>[4,3,1]=>[3,2,2,1] [[1,3,6,8],[2,5,7],[4]]=>[4,3,1]=>[3,2,2,1] [[1,2,6,8],[3,5,7],[4]]=>[4,3,1]=>[3,2,2,1] [[1,3,6,8],[2,4,7],[5]]=>[4,3,1]=>[3,2,2,1] [[1,2,6,8],[3,4,7],[5]]=>[4,3,1]=>[3,2,2,1] [[1,4,5,8],[2,6,7],[3]]=>[4,3,1]=>[3,2,2,1] [[1,3,5,8],[2,6,7],[4]]=>[4,3,1]=>[3,2,2,1] [[1,2,5,8],[3,6,7],[4]]=>[4,3,1]=>[3,2,2,1] [[1,3,4,8],[2,6,7],[5]]=>[4,3,1]=>[3,2,2,1] [[1,2,4,8],[3,6,7],[5]]=>[4,3,1]=>[3,2,2,1] [[1,2,3,8],[4,6,7],[5]]=>[4,3,1]=>[3,2,2,1] [[1,3,5,8],[2,4,7],[6]]=>[4,3,1]=>[3,2,2,1] [[1,2,5,8],[3,4,7],[6]]=>[4,3,1]=>[3,2,2,1] [[1,3,4,8],[2,5,7],[6]]=>[4,3,1]=>[3,2,2,1] [[1,2,4,8],[3,5,7],[6]]=>[4,3,1]=>[3,2,2,1] [[1,2,3,8],[4,5,7],[6]]=>[4,3,1]=>[3,2,2,1] [[1,3,5,8],[2,4,6],[7]]=>[4,3,1]=>[3,2,2,1] [[1,2,5,8],[3,4,6],[7]]=>[4,3,1]=>[3,2,2,1] [[1,3,4,8],[2,5,6],[7]]=>[4,3,1]=>[3,2,2,1] [[1,2,4,8],[3,5,6],[7]]=>[4,3,1]=>[3,2,2,1] [[1,2,3,8],[4,5,6],[7]]=>[4,3,1]=>[3,2,2,1] [[1,4,6,7],[2,5,8],[3]]=>[4,3,1]=>[3,2,2,1] [[1,3,6,7],[2,5,8],[4]]=>[4,3,1]=>[3,2,2,1] [[1,2,6,7],[3,5,8],[4]]=>[4,3,1]=>[3,2,2,1] [[1,3,6,7],[2,4,8],[5]]=>[4,3,1]=>[3,2,2,1] [[1,2,6,7],[3,4,8],[5]]=>[4,3,1]=>[3,2,2,1] [[1,4,5,7],[2,6,8],[3]]=>[4,3,1]=>[3,2,2,1] [[1,3,5,7],[2,6,8],[4]]=>[4,3,1]=>[3,2,2,1] [[1,2,5,7],[3,6,8],[4]]=>[4,3,1]=>[3,2,2,1] [[1,3,4,7],[2,6,8],[5]]=>[4,3,1]=>[3,2,2,1] [[1,2,4,7],[3,6,8],[5]]=>[4,3,1]=>[3,2,2,1] [[1,2,3,7],[4,6,8],[5]]=>[4,3,1]=>[3,2,2,1] [[1,3,5,7],[2,4,8],[6]]=>[4,3,1]=>[3,2,2,1] [[1,2,5,7],[3,4,8],[6]]=>[4,3,1]=>[3,2,2,1] [[1,3,4,7],[2,5,8],[6]]=>[4,3,1]=>[3,2,2,1] [[1,2,4,7],[3,5,8],[6]]=>[4,3,1]=>[3,2,2,1] [[1,2,3,7],[4,5,8],[6]]=>[4,3,1]=>[3,2,2,1] [[1,4,5,6],[2,7,8],[3]]=>[4,3,1]=>[3,2,2,1] [[1,3,5,6],[2,7,8],[4]]=>[4,3,1]=>[3,2,2,1] [[1,2,5,6],[3,7,8],[4]]=>[4,3,1]=>[3,2,2,1] [[1,3,4,6],[2,7,8],[5]]=>[4,3,1]=>[3,2,2,1] [[1,2,4,6],[3,7,8],[5]]=>[4,3,1]=>[3,2,2,1] [[1,2,3,6],[4,7,8],[5]]=>[4,3,1]=>[3,2,2,1] [[1,3,4,5],[2,7,8],[6]]=>[4,3,1]=>[3,2,2,1] [[1,2,4,5],[3,7,8],[6]]=>[4,3,1]=>[3,2,2,1] [[1,2,3,5],[4,7,8],[6]]=>[4,3,1]=>[3,2,2,1] [[1,2,3,4],[5,7,8],[6]]=>[4,3,1]=>[3,2,2,1] [[1,3,5,6],[2,4,8],[7]]=>[4,3,1]=>[3,2,2,1] [[1,2,5,6],[3,4,8],[7]]=>[4,3,1]=>[3,2,2,1] [[1,3,4,6],[2,5,8],[7]]=>[4,3,1]=>[3,2,2,1] [[1,2,4,6],[3,5,8],[7]]=>[4,3,1]=>[3,2,2,1] [[1,2,3,6],[4,5,8],[7]]=>[4,3,1]=>[3,2,2,1] [[1,3,4,5],[2,6,8],[7]]=>[4,3,1]=>[3,2,2,1] [[1,2,4,5],[3,6,8],[7]]=>[4,3,1]=>[3,2,2,1] [[1,2,3,5],[4,6,8],[7]]=>[4,3,1]=>[3,2,2,1] [[1,2,3,4],[5,6,8],[7]]=>[4,3,1]=>[3,2,2,1] [[1,3,5,7],[2,4,6],[8]]=>[4,3,1]=>[3,2,2,1] [[1,2,5,7],[3,4,6],[8]]=>[4,3,1]=>[3,2,2,1] [[1,3,4,7],[2,5,6],[8]]=>[4,3,1]=>[3,2,2,1] [[1,2,4,7],[3,5,6],[8]]=>[4,3,1]=>[3,2,2,1] [[1,2,3,7],[4,5,6],[8]]=>[4,3,1]=>[3,2,2,1] [[1,3,5,6],[2,4,7],[8]]=>[4,3,1]=>[3,2,2,1] [[1,2,5,6],[3,4,7],[8]]=>[4,3,1]=>[3,2,2,1] [[1,3,4,6],[2,5,7],[8]]=>[4,3,1]=>[3,2,2,1] [[1,2,4,6],[3,5,7],[8]]=>[4,3,1]=>[3,2,2,1] [[1,2,3,6],[4,5,7],[8]]=>[4,3,1]=>[3,2,2,1] [[1,3,4,5],[2,6,7],[8]]=>[4,3,1]=>[3,2,2,1] [[1,2,4,5],[3,6,7],[8]]=>[4,3,1]=>[3,2,2,1] [[1,2,3,5],[4,6,7],[8]]=>[4,3,1]=>[3,2,2,1] [[1,2,3,4],[5,6,7],[8]]=>[4,3,1]=>[3,2,2,1] [[1,4,7,8],[2,5],[3,6]]=>[4,2,2]=>[3,3,1,1] [[1,3,7,8],[2,5],[4,6]]=>[4,2,2]=>[3,3,1,1] [[1,2,7,8],[3,5],[4,6]]=>[4,2,2]=>[3,3,1,1] [[1,3,7,8],[2,4],[5,6]]=>[4,2,2]=>[3,3,1,1] [[1,2,7,8],[3,4],[5,6]]=>[4,2,2]=>[3,3,1,1] [[1,4,6,8],[2,5],[3,7]]=>[4,2,2]=>[3,3,1,1] [[1,3,6,8],[2,5],[4,7]]=>[4,2,2]=>[3,3,1,1] [[1,2,6,8],[3,5],[4,7]]=>[4,2,2]=>[3,3,1,1] [[1,3,6,8],[2,4],[5,7]]=>[4,2,2]=>[3,3,1,1] [[1,2,6,8],[3,4],[5,7]]=>[4,2,2]=>[3,3,1,1] [[1,4,5,8],[2,6],[3,7]]=>[4,2,2]=>[3,3,1,1] [[1,3,5,8],[2,6],[4,7]]=>[4,2,2]=>[3,3,1,1] [[1,2,5,8],[3,6],[4,7]]=>[4,2,2]=>[3,3,1,1] [[1,3,4,8],[2,6],[5,7]]=>[4,2,2]=>[3,3,1,1] [[1,2,4,8],[3,6],[5,7]]=>[4,2,2]=>[3,3,1,1] [[1,2,3,8],[4,6],[5,7]]=>[4,2,2]=>[3,3,1,1] [[1,3,5,8],[2,4],[6,7]]=>[4,2,2]=>[3,3,1,1] [[1,2,5,8],[3,4],[6,7]]=>[4,2,2]=>[3,3,1,1] [[1,3,4,8],[2,5],[6,7]]=>[4,2,2]=>[3,3,1,1] [[1,2,4,8],[3,5],[6,7]]=>[4,2,2]=>[3,3,1,1] [[1,2,3,8],[4,5],[6,7]]=>[4,2,2]=>[3,3,1,1] [[1,4,6,7],[2,5],[3,8]]=>[4,2,2]=>[3,3,1,1] [[1,3,6,7],[2,5],[4,8]]=>[4,2,2]=>[3,3,1,1] [[1,2,6,7],[3,5],[4,8]]=>[4,2,2]=>[3,3,1,1] [[1,3,6,7],[2,4],[5,8]]=>[4,2,2]=>[3,3,1,1] [[1,2,6,7],[3,4],[5,8]]=>[4,2,2]=>[3,3,1,1] [[1,4,5,7],[2,6],[3,8]]=>[4,2,2]=>[3,3,1,1] [[1,3,5,7],[2,6],[4,8]]=>[4,2,2]=>[3,3,1,1] [[1,2,5,7],[3,6],[4,8]]=>[4,2,2]=>[3,3,1,1] [[1,3,4,7],[2,6],[5,8]]=>[4,2,2]=>[3,3,1,1] [[1,2,4,7],[3,6],[5,8]]=>[4,2,2]=>[3,3,1,1] [[1,2,3,7],[4,6],[5,8]]=>[4,2,2]=>[3,3,1,1] [[1,3,5,7],[2,4],[6,8]]=>[4,2,2]=>[3,3,1,1] [[1,2,5,7],[3,4],[6,8]]=>[4,2,2]=>[3,3,1,1] [[1,3,4,7],[2,5],[6,8]]=>[4,2,2]=>[3,3,1,1] [[1,2,4,7],[3,5],[6,8]]=>[4,2,2]=>[3,3,1,1] [[1,2,3,7],[4,5],[6,8]]=>[4,2,2]=>[3,3,1,1] [[1,4,5,6],[2,7],[3,8]]=>[4,2,2]=>[3,3,1,1] [[1,3,5,6],[2,7],[4,8]]=>[4,2,2]=>[3,3,1,1] [[1,2,5,6],[3,7],[4,8]]=>[4,2,2]=>[3,3,1,1] [[1,3,4,6],[2,7],[5,8]]=>[4,2,2]=>[3,3,1,1] [[1,2,4,6],[3,7],[5,8]]=>[4,2,2]=>[3,3,1,1] [[1,2,3,6],[4,7],[5,8]]=>[4,2,2]=>[3,3,1,1] [[1,3,4,5],[2,7],[6,8]]=>[4,2,2]=>[3,3,1,1] [[1,2,4,5],[3,7],[6,8]]=>[4,2,2]=>[3,3,1,1] [[1,2,3,5],[4,7],[6,8]]=>[4,2,2]=>[3,3,1,1] [[1,2,3,4],[5,7],[6,8]]=>[4,2,2]=>[3,3,1,1] [[1,3,5,6],[2,4],[7,8]]=>[4,2,2]=>[3,3,1,1] [[1,2,5,6],[3,4],[7,8]]=>[4,2,2]=>[3,3,1,1] [[1,3,4,6],[2,5],[7,8]]=>[4,2,2]=>[3,3,1,1] [[1,2,4,6],[3,5],[7,8]]=>[4,2,2]=>[3,3,1,1] [[1,2,3,6],[4,5],[7,8]]=>[4,2,2]=>[3,3,1,1] [[1,3,4,5],[2,6],[7,8]]=>[4,2,2]=>[3,3,1,1] [[1,2,4,5],[3,6],[7,8]]=>[4,2,2]=>[3,3,1,1] [[1,2,3,5],[4,6],[7,8]]=>[4,2,2]=>[3,3,1,1] [[1,2,3,4],[5,6],[7,8]]=>[4,2,2]=>[3,3,1,1] [[1,5,7,8],[2,6],[3],[4]]=>[4,2,1,1]=>[4,2,1,1] [[1,4,7,8],[2,6],[3],[5]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,7,8],[2,6],[4],[5]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,7,8],[3,6],[4],[5]]=>[4,2,1,1]=>[4,2,1,1] [[1,4,7,8],[2,5],[3],[6]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,7,8],[2,5],[4],[6]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,7,8],[3,5],[4],[6]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,7,8],[2,4],[5],[6]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,7,8],[3,4],[5],[6]]=>[4,2,1,1]=>[4,2,1,1] [[1,5,6,8],[2,7],[3],[4]]=>[4,2,1,1]=>[4,2,1,1] [[1,4,6,8],[2,7],[3],[5]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,6,8],[2,7],[4],[5]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,6,8],[3,7],[4],[5]]=>[4,2,1,1]=>[4,2,1,1] [[1,4,5,8],[2,7],[3],[6]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,5,8],[2,7],[4],[6]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,5,8],[3,7],[4],[6]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,4,8],[2,7],[5],[6]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,4,8],[3,7],[5],[6]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,3,8],[4,7],[5],[6]]=>[4,2,1,1]=>[4,2,1,1] [[1,4,6,8],[2,5],[3],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,6,8],[2,5],[4],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,6,8],[3,5],[4],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,6,8],[2,4],[5],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,6,8],[3,4],[5],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,4,5,8],[2,6],[3],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,5,8],[2,6],[4],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,5,8],[3,6],[4],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,4,8],[2,6],[5],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,4,8],[3,6],[5],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,3,8],[4,6],[5],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,5,8],[2,4],[6],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,5,8],[3,4],[6],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,4,8],[2,5],[6],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,4,8],[3,5],[6],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,3,8],[4,5],[6],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,5,6,7],[2,8],[3],[4]]=>[4,2,1,1]=>[4,2,1,1] [[1,4,6,7],[2,8],[3],[5]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,6,7],[2,8],[4],[5]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,6,7],[3,8],[4],[5]]=>[4,2,1,1]=>[4,2,1,1] [[1,4,5,7],[2,8],[3],[6]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,5,7],[2,8],[4],[6]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,5,7],[3,8],[4],[6]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,4,7],[2,8],[5],[6]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,4,7],[3,8],[5],[6]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,3,7],[4,8],[5],[6]]=>[4,2,1,1]=>[4,2,1,1] [[1,4,5,6],[2,8],[3],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,5,6],[2,8],[4],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,5,6],[3,8],[4],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,4,6],[2,8],[5],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,4,6],[3,8],[5],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,3,6],[4,8],[5],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,4,5],[2,8],[6],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,4,5],[3,8],[6],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,3,5],[4,8],[6],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,3,4],[5,8],[6],[7]]=>[4,2,1,1]=>[4,2,1,1] [[1,4,6,7],[2,5],[3],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,6,7],[2,5],[4],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,6,7],[3,5],[4],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,6,7],[2,4],[5],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,6,7],[3,4],[5],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,4,5,7],[2,6],[3],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,5,7],[2,6],[4],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,5,7],[3,6],[4],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,4,7],[2,6],[5],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,4,7],[3,6],[5],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,3,7],[4,6],[5],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,5,7],[2,4],[6],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,5,7],[3,4],[6],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,4,7],[2,5],[6],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,4,7],[3,5],[6],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,3,7],[4,5],[6],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,4,5,6],[2,7],[3],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,5,6],[2,7],[4],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,5,6],[3,7],[4],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,4,6],[2,7],[5],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,4,6],[3,7],[5],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,3,6],[4,7],[5],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,4,5],[2,7],[6],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,4,5],[3,7],[6],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,3,5],[4,7],[6],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,3,4],[5,7],[6],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,5,6],[2,4],[7],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,5,6],[3,4],[7],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,4,6],[2,5],[7],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,4,6],[3,5],[7],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,3,6],[4,5],[7],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,3,4,5],[2,6],[7],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,4,5],[3,6],[7],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,3,5],[4,6],[7],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,2,3,4],[5,6],[7],[8]]=>[4,2,1,1]=>[4,2,1,1] [[1,6,7,8],[2],[3],[4],[5]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,5,7,8],[2],[3],[4],[6]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,4,7,8],[2],[3],[5],[6]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,3,7,8],[2],[4],[5],[6]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,2,7,8],[3],[4],[5],[6]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,5,6,8],[2],[3],[4],[7]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,4,6,8],[2],[3],[5],[7]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,3,6,8],[2],[4],[5],[7]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,2,6,8],[3],[4],[5],[7]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,4,5,8],[2],[3],[6],[7]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,3,5,8],[2],[4],[6],[7]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,2,5,8],[3],[4],[6],[7]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,3,4,8],[2],[5],[6],[7]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,2,4,8],[3],[5],[6],[7]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,2,3,8],[4],[5],[6],[7]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,5,6,7],[2],[3],[4],[8]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,4,6,7],[2],[3],[5],[8]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,3,6,7],[2],[4],[5],[8]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,2,6,7],[3],[4],[5],[8]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,4,5,7],[2],[3],[6],[8]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,3,5,7],[2],[4],[6],[8]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,2,5,7],[3],[4],[6],[8]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,3,4,7],[2],[5],[6],[8]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,2,4,7],[3],[5],[6],[8]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,2,3,7],[4],[5],[6],[8]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,4,5,6],[2],[3],[7],[8]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,3,5,6],[2],[4],[7],[8]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,2,5,6],[3],[4],[7],[8]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,3,4,6],[2],[5],[7],[8]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,2,4,6],[3],[5],[7],[8]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,2,3,6],[4],[5],[7],[8]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,3,4,5],[2],[6],[7],[8]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,2,4,5],[3],[6],[7],[8]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,2,3,5],[4],[6],[7],[8]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,2,3,4],[5],[6],[7],[8]]=>[4,1,1,1,1]=>[5,1,1,1] [[1,4,7],[2,5,8],[3,6]]=>[3,3,2]=>[3,3,2] [[1,3,7],[2,5,8],[4,6]]=>[3,3,2]=>[3,3,2] [[1,2,7],[3,5,8],[4,6]]=>[3,3,2]=>[3,3,2] [[1,3,7],[2,4,8],[5,6]]=>[3,3,2]=>[3,3,2] [[1,2,7],[3,4,8],[5,6]]=>[3,3,2]=>[3,3,2] [[1,4,6],[2,5,8],[3,7]]=>[3,3,2]=>[3,3,2] [[1,3,6],[2,5,8],[4,7]]=>[3,3,2]=>[3,3,2] [[1,2,6],[3,5,8],[4,7]]=>[3,3,2]=>[3,3,2] [[1,3,6],[2,4,8],[5,7]]=>[3,3,2]=>[3,3,2] [[1,2,6],[3,4,8],[5,7]]=>[3,3,2]=>[3,3,2] [[1,4,5],[2,6,8],[3,7]]=>[3,3,2]=>[3,3,2] [[1,3,5],[2,6,8],[4,7]]=>[3,3,2]=>[3,3,2] [[1,2,5],[3,6,8],[4,7]]=>[3,3,2]=>[3,3,2] [[1,3,4],[2,6,8],[5,7]]=>[3,3,2]=>[3,3,2] [[1,2,4],[3,6,8],[5,7]]=>[3,3,2]=>[3,3,2] [[1,2,3],[4,6,8],[5,7]]=>[3,3,2]=>[3,3,2] [[1,3,5],[2,4,8],[6,7]]=>[3,3,2]=>[3,3,2] [[1,2,5],[3,4,8],[6,7]]=>[3,3,2]=>[3,3,2] [[1,3,4],[2,5,8],[6,7]]=>[3,3,2]=>[3,3,2] [[1,2,4],[3,5,8],[6,7]]=>[3,3,2]=>[3,3,2] [[1,2,3],[4,5,8],[6,7]]=>[3,3,2]=>[3,3,2] [[1,4,6],[2,5,7],[3,8]]=>[3,3,2]=>[3,3,2] [[1,3,6],[2,5,7],[4,8]]=>[3,3,2]=>[3,3,2] [[1,2,6],[3,5,7],[4,8]]=>[3,3,2]=>[3,3,2] [[1,3,6],[2,4,7],[5,8]]=>[3,3,2]=>[3,3,2] [[1,2,6],[3,4,7],[5,8]]=>[3,3,2]=>[3,3,2] [[1,4,5],[2,6,7],[3,8]]=>[3,3,2]=>[3,3,2] [[1,3,5],[2,6,7],[4,8]]=>[3,3,2]=>[3,3,2] [[1,2,5],[3,6,7],[4,8]]=>[3,3,2]=>[3,3,2] [[1,3,4],[2,6,7],[5,8]]=>[3,3,2]=>[3,3,2] [[1,2,4],[3,6,7],[5,8]]=>[3,3,2]=>[3,3,2] [[1,2,3],[4,6,7],[5,8]]=>[3,3,2]=>[3,3,2] [[1,3,5],[2,4,7],[6,8]]=>[3,3,2]=>[3,3,2] [[1,2,5],[3,4,7],[6,8]]=>[3,3,2]=>[3,3,2] [[1,3,4],[2,5,7],[6,8]]=>[3,3,2]=>[3,3,2] [[1,2,4],[3,5,7],[6,8]]=>[3,3,2]=>[3,3,2] [[1,2,3],[4,5,7],[6,8]]=>[3,3,2]=>[3,3,2] [[1,3,5],[2,4,6],[7,8]]=>[3,3,2]=>[3,3,2] [[1,2,5],[3,4,6],[7,8]]=>[3,3,2]=>[3,3,2] [[1,3,4],[2,5,6],[7,8]]=>[3,3,2]=>[3,3,2] [[1,2,4],[3,5,6],[7,8]]=>[3,3,2]=>[3,3,2] [[1,2,3],[4,5,6],[7,8]]=>[3,3,2]=>[3,3,2] [[1,5,7],[2,6,8],[3],[4]]=>[3,3,1,1]=>[4,2,2] [[1,4,7],[2,6,8],[3],[5]]=>[3,3,1,1]=>[4,2,2] [[1,3,7],[2,6,8],[4],[5]]=>[3,3,1,1]=>[4,2,2] [[1,2,7],[3,6,8],[4],[5]]=>[3,3,1,1]=>[4,2,2] [[1,4,7],[2,5,8],[3],[6]]=>[3,3,1,1]=>[4,2,2] [[1,3,7],[2,5,8],[4],[6]]=>[3,3,1,1]=>[4,2,2] [[1,2,7],[3,5,8],[4],[6]]=>[3,3,1,1]=>[4,2,2] [[1,3,7],[2,4,8],[5],[6]]=>[3,3,1,1]=>[4,2,2] [[1,2,7],[3,4,8],[5],[6]]=>[3,3,1,1]=>[4,2,2] [[1,5,6],[2,7,8],[3],[4]]=>[3,3,1,1]=>[4,2,2] [[1,4,6],[2,7,8],[3],[5]]=>[3,3,1,1]=>[4,2,2] [[1,3,6],[2,7,8],[4],[5]]=>[3,3,1,1]=>[4,2,2] [[1,2,6],[3,7,8],[4],[5]]=>[3,3,1,1]=>[4,2,2] [[1,4,5],[2,7,8],[3],[6]]=>[3,3,1,1]=>[4,2,2] [[1,3,5],[2,7,8],[4],[6]]=>[3,3,1,1]=>[4,2,2] [[1,2,5],[3,7,8],[4],[6]]=>[3,3,1,1]=>[4,2,2] [[1,3,4],[2,7,8],[5],[6]]=>[3,3,1,1]=>[4,2,2] [[1,2,4],[3,7,8],[5],[6]]=>[3,3,1,1]=>[4,2,2] [[1,2,3],[4,7,8],[5],[6]]=>[3,3,1,1]=>[4,2,2] [[1,4,6],[2,5,8],[3],[7]]=>[3,3,1,1]=>[4,2,2] [[1,3,6],[2,5,8],[4],[7]]=>[3,3,1,1]=>[4,2,2] [[1,2,6],[3,5,8],[4],[7]]=>[3,3,1,1]=>[4,2,2] [[1,3,6],[2,4,8],[5],[7]]=>[3,3,1,1]=>[4,2,2] [[1,2,6],[3,4,8],[5],[7]]=>[3,3,1,1]=>[4,2,2] [[1,4,5],[2,6,8],[3],[7]]=>[3,3,1,1]=>[4,2,2] [[1,3,5],[2,6,8],[4],[7]]=>[3,3,1,1]=>[4,2,2] [[1,2,5],[3,6,8],[4],[7]]=>[3,3,1,1]=>[4,2,2] [[1,3,4],[2,6,8],[5],[7]]=>[3,3,1,1]=>[4,2,2] [[1,2,4],[3,6,8],[5],[7]]=>[3,3,1,1]=>[4,2,2] [[1,2,3],[4,6,8],[5],[7]]=>[3,3,1,1]=>[4,2,2] [[1,3,5],[2,4,8],[6],[7]]=>[3,3,1,1]=>[4,2,2] [[1,2,5],[3,4,8],[6],[7]]=>[3,3,1,1]=>[4,2,2] [[1,3,4],[2,5,8],[6],[7]]=>[3,3,1,1]=>[4,2,2] [[1,2,4],[3,5,8],[6],[7]]=>[3,3,1,1]=>[4,2,2] [[1,2,3],[4,5,8],[6],[7]]=>[3,3,1,1]=>[4,2,2] [[1,4,6],[2,5,7],[3],[8]]=>[3,3,1,1]=>[4,2,2] [[1,3,6],[2,5,7],[4],[8]]=>[3,3,1,1]=>[4,2,2] [[1,2,6],[3,5,7],[4],[8]]=>[3,3,1,1]=>[4,2,2] [[1,3,6],[2,4,7],[5],[8]]=>[3,3,1,1]=>[4,2,2] [[1,2,6],[3,4,7],[5],[8]]=>[3,3,1,1]=>[4,2,2] [[1,4,5],[2,6,7],[3],[8]]=>[3,3,1,1]=>[4,2,2] [[1,3,5],[2,6,7],[4],[8]]=>[3,3,1,1]=>[4,2,2] [[1,2,5],[3,6,7],[4],[8]]=>[3,3,1,1]=>[4,2,2] [[1,3,4],[2,6,7],[5],[8]]=>[3,3,1,1]=>[4,2,2] [[1,2,4],[3,6,7],[5],[8]]=>[3,3,1,1]=>[4,2,2] [[1,2,3],[4,6,7],[5],[8]]=>[3,3,1,1]=>[4,2,2] [[1,3,5],[2,4,7],[6],[8]]=>[3,3,1,1]=>[4,2,2] [[1,2,5],[3,4,7],[6],[8]]=>[3,3,1,1]=>[4,2,2] [[1,3,4],[2,5,7],[6],[8]]=>[3,3,1,1]=>[4,2,2] [[1,2,4],[3,5,7],[6],[8]]=>[3,3,1,1]=>[4,2,2] [[1,2,3],[4,5,7],[6],[8]]=>[3,3,1,1]=>[4,2,2] [[1,3,5],[2,4,6],[7],[8]]=>[3,3,1,1]=>[4,2,2] [[1,2,5],[3,4,6],[7],[8]]=>[3,3,1,1]=>[4,2,2] [[1,3,4],[2,5,6],[7],[8]]=>[3,3,1,1]=>[4,2,2] [[1,2,4],[3,5,6],[7],[8]]=>[3,3,1,1]=>[4,2,2] [[1,2,3],[4,5,6],[7],[8]]=>[3,3,1,1]=>[4,2,2] [[1,5,8],[2,6],[3,7],[4]]=>[3,2,2,1]=>[4,3,1] [[1,4,8],[2,6],[3,7],[5]]=>[3,2,2,1]=>[4,3,1] [[1,3,8],[2,6],[4,7],[5]]=>[3,2,2,1]=>[4,3,1] [[1,2,8],[3,6],[4,7],[5]]=>[3,2,2,1]=>[4,3,1] [[1,4,8],[2,5],[3,7],[6]]=>[3,2,2,1]=>[4,3,1] [[1,3,8],[2,5],[4,7],[6]]=>[3,2,2,1]=>[4,3,1] [[1,2,8],[3,5],[4,7],[6]]=>[3,2,2,1]=>[4,3,1] [[1,3,8],[2,4],[5,7],[6]]=>[3,2,2,1]=>[4,3,1] [[1,2,8],[3,4],[5,7],[6]]=>[3,2,2,1]=>[4,3,1] [[1,4,8],[2,5],[3,6],[7]]=>[3,2,2,1]=>[4,3,1] [[1,3,8],[2,5],[4,6],[7]]=>[3,2,2,1]=>[4,3,1] [[1,2,8],[3,5],[4,6],[7]]=>[3,2,2,1]=>[4,3,1] [[1,3,8],[2,4],[5,6],[7]]=>[3,2,2,1]=>[4,3,1] [[1,2,8],[3,4],[5,6],[7]]=>[3,2,2,1]=>[4,3,1] [[1,5,7],[2,6],[3,8],[4]]=>[3,2,2,1]=>[4,3,1] [[1,4,7],[2,6],[3,8],[5]]=>[3,2,2,1]=>[4,3,1] [[1,3,7],[2,6],[4,8],[5]]=>[3,2,2,1]=>[4,3,1] [[1,2,7],[3,6],[4,8],[5]]=>[3,2,2,1]=>[4,3,1] [[1,4,7],[2,5],[3,8],[6]]=>[3,2,2,1]=>[4,3,1] [[1,3,7],[2,5],[4,8],[6]]=>[3,2,2,1]=>[4,3,1] [[1,2,7],[3,5],[4,8],[6]]=>[3,2,2,1]=>[4,3,1] [[1,3,7],[2,4],[5,8],[6]]=>[3,2,2,1]=>[4,3,1] [[1,2,7],[3,4],[5,8],[6]]=>[3,2,2,1]=>[4,3,1] [[1,5,6],[2,7],[3,8],[4]]=>[3,2,2,1]=>[4,3,1] [[1,4,6],[2,7],[3,8],[5]]=>[3,2,2,1]=>[4,3,1] [[1,3,6],[2,7],[4,8],[5]]=>[3,2,2,1]=>[4,3,1] [[1,2,6],[3,7],[4,8],[5]]=>[3,2,2,1]=>[4,3,1] [[1,4,5],[2,7],[3,8],[6]]=>[3,2,2,1]=>[4,3,1] [[1,3,5],[2,7],[4,8],[6]]=>[3,2,2,1]=>[4,3,1] [[1,2,5],[3,7],[4,8],[6]]=>[3,2,2,1]=>[4,3,1] [[1,3,4],[2,7],[5,8],[6]]=>[3,2,2,1]=>[4,3,1] [[1,2,4],[3,7],[5,8],[6]]=>[3,2,2,1]=>[4,3,1] [[1,2,3],[4,7],[5,8],[6]]=>[3,2,2,1]=>[4,3,1] [[1,4,6],[2,5],[3,8],[7]]=>[3,2,2,1]=>[4,3,1] [[1,3,6],[2,5],[4,8],[7]]=>[3,2,2,1]=>[4,3,1] [[1,2,6],[3,5],[4,8],[7]]=>[3,2,2,1]=>[4,3,1] [[1,3,6],[2,4],[5,8],[7]]=>[3,2,2,1]=>[4,3,1] [[1,2,6],[3,4],[5,8],[7]]=>[3,2,2,1]=>[4,3,1] [[1,4,5],[2,6],[3,8],[7]]=>[3,2,2,1]=>[4,3,1] [[1,3,5],[2,6],[4,8],[7]]=>[3,2,2,1]=>[4,3,1] [[1,2,5],[3,6],[4,8],[7]]=>[3,2,2,1]=>[4,3,1] [[1,3,4],[2,6],[5,8],[7]]=>[3,2,2,1]=>[4,3,1] [[1,2,4],[3,6],[5,8],[7]]=>[3,2,2,1]=>[4,3,1] [[1,2,3],[4,6],[5,8],[7]]=>[3,2,2,1]=>[4,3,1] [[1,3,5],[2,4],[6,8],[7]]=>[3,2,2,1]=>[4,3,1] [[1,2,5],[3,4],[6,8],[7]]=>[3,2,2,1]=>[4,3,1] [[1,3,4],[2,5],[6,8],[7]]=>[3,2,2,1]=>[4,3,1] [[1,2,4],[3,5],[6,8],[7]]=>[3,2,2,1]=>[4,3,1] [[1,2,3],[4,5],[6,8],[7]]=>[3,2,2,1]=>[4,3,1] [[1,4,7],[2,5],[3,6],[8]]=>[3,2,2,1]=>[4,3,1] [[1,3,7],[2,5],[4,6],[8]]=>[3,2,2,1]=>[4,3,1] [[1,2,7],[3,5],[4,6],[8]]=>[3,2,2,1]=>[4,3,1] [[1,3,7],[2,4],[5,6],[8]]=>[3,2,2,1]=>[4,3,1] [[1,2,7],[3,4],[5,6],[8]]=>[3,2,2,1]=>[4,3,1] [[1,4,6],[2,5],[3,7],[8]]=>[3,2,2,1]=>[4,3,1] [[1,3,6],[2,5],[4,7],[8]]=>[3,2,2,1]=>[4,3,1] [[1,2,6],[3,5],[4,7],[8]]=>[3,2,2,1]=>[4,3,1] [[1,3,6],[2,4],[5,7],[8]]=>[3,2,2,1]=>[4,3,1] [[1,2,6],[3,4],[5,7],[8]]=>[3,2,2,1]=>[4,3,1] [[1,4,5],[2,6],[3,7],[8]]=>[3,2,2,1]=>[4,3,1] [[1,3,5],[2,6],[4,7],[8]]=>[3,2,2,1]=>[4,3,1] [[1,2,5],[3,6],[4,7],[8]]=>[3,2,2,1]=>[4,3,1] [[1,3,4],[2,6],[5,7],[8]]=>[3,2,2,1]=>[4,3,1] [[1,2,4],[3,6],[5,7],[8]]=>[3,2,2,1]=>[4,3,1] [[1,2,3],[4,6],[5,7],[8]]=>[3,2,2,1]=>[4,3,1] [[1,3,5],[2,4],[6,7],[8]]=>[3,2,2,1]=>[4,3,1] [[1,2,5],[3,4],[6,7],[8]]=>[3,2,2,1]=>[4,3,1] [[1,3,4],[2,5],[6,7],[8]]=>[3,2,2,1]=>[4,3,1] [[1,2,4],[3,5],[6,7],[8]]=>[3,2,2,1]=>[4,3,1] [[1,2,3],[4,5],[6,7],[8]]=>[3,2,2,1]=>[4,3,1] [[1,6,8],[2,7],[3],[4],[5]]=>[3,2,1,1,1]=>[5,2,1] [[1,5,8],[2,7],[3],[4],[6]]=>[3,2,1,1,1]=>[5,2,1] [[1,4,8],[2,7],[3],[5],[6]]=>[3,2,1,1,1]=>[5,2,1] [[1,3,8],[2,7],[4],[5],[6]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,8],[3,7],[4],[5],[6]]=>[3,2,1,1,1]=>[5,2,1] [[1,5,8],[2,6],[3],[4],[7]]=>[3,2,1,1,1]=>[5,2,1] [[1,4,8],[2,6],[3],[5],[7]]=>[3,2,1,1,1]=>[5,2,1] [[1,3,8],[2,6],[4],[5],[7]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,8],[3,6],[4],[5],[7]]=>[3,2,1,1,1]=>[5,2,1] [[1,4,8],[2,5],[3],[6],[7]]=>[3,2,1,1,1]=>[5,2,1] [[1,3,8],[2,5],[4],[6],[7]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,8],[3,5],[4],[6],[7]]=>[3,2,1,1,1]=>[5,2,1] [[1,3,8],[2,4],[5],[6],[7]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,8],[3,4],[5],[6],[7]]=>[3,2,1,1,1]=>[5,2,1] [[1,6,7],[2,8],[3],[4],[5]]=>[3,2,1,1,1]=>[5,2,1] [[1,5,7],[2,8],[3],[4],[6]]=>[3,2,1,1,1]=>[5,2,1] [[1,4,7],[2,8],[3],[5],[6]]=>[3,2,1,1,1]=>[5,2,1] [[1,3,7],[2,8],[4],[5],[6]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,7],[3,8],[4],[5],[6]]=>[3,2,1,1,1]=>[5,2,1] [[1,5,6],[2,8],[3],[4],[7]]=>[3,2,1,1,1]=>[5,2,1] [[1,4,6],[2,8],[3],[5],[7]]=>[3,2,1,1,1]=>[5,2,1] [[1,3,6],[2,8],[4],[5],[7]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,6],[3,8],[4],[5],[7]]=>[3,2,1,1,1]=>[5,2,1] [[1,4,5],[2,8],[3],[6],[7]]=>[3,2,1,1,1]=>[5,2,1] [[1,3,5],[2,8],[4],[6],[7]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,5],[3,8],[4],[6],[7]]=>[3,2,1,1,1]=>[5,2,1] [[1,3,4],[2,8],[5],[6],[7]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,4],[3,8],[5],[6],[7]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,3],[4,8],[5],[6],[7]]=>[3,2,1,1,1]=>[5,2,1] [[1,5,7],[2,6],[3],[4],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,4,7],[2,6],[3],[5],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,3,7],[2,6],[4],[5],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,7],[3,6],[4],[5],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,4,7],[2,5],[3],[6],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,3,7],[2,5],[4],[6],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,7],[3,5],[4],[6],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,3,7],[2,4],[5],[6],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,7],[3,4],[5],[6],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,5,6],[2,7],[3],[4],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,4,6],[2,7],[3],[5],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,3,6],[2,7],[4],[5],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,6],[3,7],[4],[5],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,4,5],[2,7],[3],[6],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,3,5],[2,7],[4],[6],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,5],[3,7],[4],[6],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,3,4],[2,7],[5],[6],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,4],[3,7],[5],[6],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,3],[4,7],[5],[6],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,4,6],[2,5],[3],[7],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,3,6],[2,5],[4],[7],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,6],[3,5],[4],[7],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,3,6],[2,4],[5],[7],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,6],[3,4],[5],[7],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,4,5],[2,6],[3],[7],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,3,5],[2,6],[4],[7],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,5],[3,6],[4],[7],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,3,4],[2,6],[5],[7],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,4],[3,6],[5],[7],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,3],[4,6],[5],[7],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,3,5],[2,4],[6],[7],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,5],[3,4],[6],[7],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,3,4],[2,5],[6],[7],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,4],[3,5],[6],[7],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,2,3],[4,5],[6],[7],[8]]=>[3,2,1,1,1]=>[5,2,1] [[1,7,8],[2],[3],[4],[5],[6]]=>[3,1,1,1,1,1]=>[6,1,1] [[1,6,8],[2],[3],[4],[5],[7]]=>[3,1,1,1,1,1]=>[6,1,1] [[1,5,8],[2],[3],[4],[6],[7]]=>[3,1,1,1,1,1]=>[6,1,1] [[1,4,8],[2],[3],[5],[6],[7]]=>[3,1,1,1,1,1]=>[6,1,1] [[1,3,8],[2],[4],[5],[6],[7]]=>[3,1,1,1,1,1]=>[6,1,1] [[1,2,8],[3],[4],[5],[6],[7]]=>[3,1,1,1,1,1]=>[6,1,1] [[1,6,7],[2],[3],[4],[5],[8]]=>[3,1,1,1,1,1]=>[6,1,1] [[1,5,7],[2],[3],[4],[6],[8]]=>[3,1,1,1,1,1]=>[6,1,1] [[1,4,7],[2],[3],[5],[6],[8]]=>[3,1,1,1,1,1]=>[6,1,1] [[1,3,7],[2],[4],[5],[6],[8]]=>[3,1,1,1,1,1]=>[6,1,1] [[1,2,7],[3],[4],[5],[6],[8]]=>[3,1,1,1,1,1]=>[6,1,1] [[1,5,6],[2],[3],[4],[7],[8]]=>[3,1,1,1,1,1]=>[6,1,1] [[1,4,6],[2],[3],[5],[7],[8]]=>[3,1,1,1,1,1]=>[6,1,1] [[1,3,6],[2],[4],[5],[7],[8]]=>[3,1,1,1,1,1]=>[6,1,1] [[1,2,6],[3],[4],[5],[7],[8]]=>[3,1,1,1,1,1]=>[6,1,1] [[1,4,5],[2],[3],[6],[7],[8]]=>[3,1,1,1,1,1]=>[6,1,1] [[1,3,5],[2],[4],[6],[7],[8]]=>[3,1,1,1,1,1]=>[6,1,1] [[1,2,5],[3],[4],[6],[7],[8]]=>[3,1,1,1,1,1]=>[6,1,1] [[1,3,4],[2],[5],[6],[7],[8]]=>[3,1,1,1,1,1]=>[6,1,1] [[1,2,4],[3],[5],[6],[7],[8]]=>[3,1,1,1,1,1]=>[6,1,1] [[1,2,3],[4],[5],[6],[7],[8]]=>[3,1,1,1,1,1]=>[6,1,1] [[1,5],[2,6],[3,7],[4,8]]=>[2,2,2,2]=>[4,4] [[1,4],[2,6],[3,7],[5,8]]=>[2,2,2,2]=>[4,4] [[1,3],[2,6],[4,7],[5,8]]=>[2,2,2,2]=>[4,4] [[1,2],[3,6],[4,7],[5,8]]=>[2,2,2,2]=>[4,4] [[1,4],[2,5],[3,7],[6,8]]=>[2,2,2,2]=>[4,4] [[1,3],[2,5],[4,7],[6,8]]=>[2,2,2,2]=>[4,4] [[1,2],[3,5],[4,7],[6,8]]=>[2,2,2,2]=>[4,4] [[1,3],[2,4],[5,7],[6,8]]=>[2,2,2,2]=>[4,4] [[1,2],[3,4],[5,7],[6,8]]=>[2,2,2,2]=>[4,4] [[1,4],[2,5],[3,6],[7,8]]=>[2,2,2,2]=>[4,4] [[1,3],[2,5],[4,6],[7,8]]=>[2,2,2,2]=>[4,4] [[1,2],[3,5],[4,6],[7,8]]=>[2,2,2,2]=>[4,4] [[1,3],[2,4],[5,6],[7,8]]=>[2,2,2,2]=>[4,4] [[1,2],[3,4],[5,6],[7,8]]=>[2,2,2,2]=>[4,4] [[1,6],[2,7],[3,8],[4],[5]]=>[2,2,2,1,1]=>[5,3] [[1,5],[2,7],[3,8],[4],[6]]=>[2,2,2,1,1]=>[5,3] [[1,4],[2,7],[3,8],[5],[6]]=>[2,2,2,1,1]=>[5,3] [[1,3],[2,7],[4,8],[5],[6]]=>[2,2,2,1,1]=>[5,3] [[1,2],[3,7],[4,8],[5],[6]]=>[2,2,2,1,1]=>[5,3] [[1,5],[2,6],[3,8],[4],[7]]=>[2,2,2,1,1]=>[5,3] [[1,4],[2,6],[3,8],[5],[7]]=>[2,2,2,1,1]=>[5,3] [[1,3],[2,6],[4,8],[5],[7]]=>[2,2,2,1,1]=>[5,3] [[1,2],[3,6],[4,8],[5],[7]]=>[2,2,2,1,1]=>[5,3] [[1,4],[2,5],[3,8],[6],[7]]=>[2,2,2,1,1]=>[5,3] [[1,3],[2,5],[4,8],[6],[7]]=>[2,2,2,1,1]=>[5,3] [[1,2],[3,5],[4,8],[6],[7]]=>[2,2,2,1,1]=>[5,3] [[1,3],[2,4],[5,8],[6],[7]]=>[2,2,2,1,1]=>[5,3] [[1,2],[3,4],[5,8],[6],[7]]=>[2,2,2,1,1]=>[5,3] [[1,5],[2,6],[3,7],[4],[8]]=>[2,2,2,1,1]=>[5,3] [[1,4],[2,6],[3,7],[5],[8]]=>[2,2,2,1,1]=>[5,3] [[1,3],[2,6],[4,7],[5],[8]]=>[2,2,2,1,1]=>[5,3] [[1,2],[3,6],[4,7],[5],[8]]=>[2,2,2,1,1]=>[5,3] [[1,4],[2,5],[3,7],[6],[8]]=>[2,2,2,1,1]=>[5,3] [[1,3],[2,5],[4,7],[6],[8]]=>[2,2,2,1,1]=>[5,3] [[1,2],[3,5],[4,7],[6],[8]]=>[2,2,2,1,1]=>[5,3] [[1,3],[2,4],[5,7],[6],[8]]=>[2,2,2,1,1]=>[5,3] [[1,2],[3,4],[5,7],[6],[8]]=>[2,2,2,1,1]=>[5,3] [[1,4],[2,5],[3,6],[7],[8]]=>[2,2,2,1,1]=>[5,3] [[1,3],[2,5],[4,6],[7],[8]]=>[2,2,2,1,1]=>[5,3] [[1,2],[3,5],[4,6],[7],[8]]=>[2,2,2,1,1]=>[5,3] [[1,3],[2,4],[5,6],[7],[8]]=>[2,2,2,1,1]=>[5,3] [[1,2],[3,4],[5,6],[7],[8]]=>[2,2,2,1,1]=>[5,3] [[1,7],[2,8],[3],[4],[5],[6]]=>[2,2,1,1,1,1]=>[6,2] [[1,6],[2,8],[3],[4],[5],[7]]=>[2,2,1,1,1,1]=>[6,2] [[1,5],[2,8],[3],[4],[6],[7]]=>[2,2,1,1,1,1]=>[6,2] [[1,4],[2,8],[3],[5],[6],[7]]=>[2,2,1,1,1,1]=>[6,2] [[1,3],[2,8],[4],[5],[6],[7]]=>[2,2,1,1,1,1]=>[6,2] [[1,2],[3,8],[4],[5],[6],[7]]=>[2,2,1,1,1,1]=>[6,2] [[1,6],[2,7],[3],[4],[5],[8]]=>[2,2,1,1,1,1]=>[6,2] [[1,5],[2,7],[3],[4],[6],[8]]=>[2,2,1,1,1,1]=>[6,2] [[1,4],[2,7],[3],[5],[6],[8]]=>[2,2,1,1,1,1]=>[6,2] [[1,3],[2,7],[4],[5],[6],[8]]=>[2,2,1,1,1,1]=>[6,2] [[1,2],[3,7],[4],[5],[6],[8]]=>[2,2,1,1,1,1]=>[6,2] [[1,5],[2,6],[3],[4],[7],[8]]=>[2,2,1,1,1,1]=>[6,2] [[1,4],[2,6],[3],[5],[7],[8]]=>[2,2,1,1,1,1]=>[6,2] [[1,3],[2,6],[4],[5],[7],[8]]=>[2,2,1,1,1,1]=>[6,2] [[1,2],[3,6],[4],[5],[7],[8]]=>[2,2,1,1,1,1]=>[6,2] [[1,4],[2,5],[3],[6],[7],[8]]=>[2,2,1,1,1,1]=>[6,2] [[1,3],[2,5],[4],[6],[7],[8]]=>[2,2,1,1,1,1]=>[6,2] [[1,2],[3,5],[4],[6],[7],[8]]=>[2,2,1,1,1,1]=>[6,2] [[1,3],[2,4],[5],[6],[7],[8]]=>[2,2,1,1,1,1]=>[6,2] [[1,2],[3,4],[5],[6],[7],[8]]=>[2,2,1,1,1,1]=>[6,2] [[1,8],[2],[3],[4],[5],[6],[7]]=>[2,1,1,1,1,1,1]=>[7,1] [[1,7],[2],[3],[4],[5],[6],[8]]=>[2,1,1,1,1,1,1]=>[7,1] [[1,6],[2],[3],[4],[5],[7],[8]]=>[2,1,1,1,1,1,1]=>[7,1] [[1,5],[2],[3],[4],[6],[7],[8]]=>[2,1,1,1,1,1,1]=>[7,1] [[1,4],[2],[3],[5],[6],[7],[8]]=>[2,1,1,1,1,1,1]=>[7,1] [[1,3],[2],[4],[5],[6],[7],[8]]=>[2,1,1,1,1,1,1]=>[7,1] [[1,2],[3],[4],[5],[6],[7],[8]]=>[2,1,1,1,1,1,1]=>[7,1] [[1],[2],[3],[4],[5],[6],[7],[8]]=>[1,1,1,1,1,1,1,1]=>[8] [[1,3,5,7,9],[2,4,6,8,10]]=>[5,5]=>[2,2,2,2,2] [[1,3,5,7,8],[2,4,6,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,3,5,6,9],[2,4,7,8,10]]=>[5,5]=>[2,2,2,2,2] [[1,3,5,6,8],[2,4,7,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,3,5,6,7],[2,4,8,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,3,4,7,9],[2,5,6,8,10]]=>[5,5]=>[2,2,2,2,2] [[1,3,4,7,8],[2,5,6,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,3,4,6,9],[2,5,7,8,10]]=>[5,5]=>[2,2,2,2,2] [[1,3,4,6,8],[2,5,7,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,3,4,6,7],[2,5,8,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,3,4,5,9],[2,6,7,8,10]]=>[5,5]=>[2,2,2,2,2] [[1,3,4,5,8],[2,6,7,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,3,4,5,7],[2,6,8,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,3,4,5,6],[2,7,8,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,5,7,9],[3,4,6,8,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,5,7,8],[3,4,6,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,5,6,9],[3,4,7,8,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,5,6,8],[3,4,7,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,5,6,7],[3,4,8,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,4,7,9],[3,5,6,8,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,4,7,8],[3,5,6,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,4,6,9],[3,5,7,8,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,4,6,8],[3,5,7,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,4,6,7],[3,5,8,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,4,5,9],[3,6,7,8,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,4,5,8],[3,6,7,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,4,5,7],[3,6,8,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,4,5,6],[3,7,8,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,3,7,9],[4,5,6,8,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,3,7,8],[4,5,6,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,3,6,9],[4,5,7,8,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,3,6,8],[4,5,7,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,3,6,7],[4,5,8,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,3,5,9],[4,6,7,8,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,3,5,8],[4,6,7,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,3,5,7],[4,6,8,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,3,5,6],[4,7,8,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,3,4,9],[5,6,7,8,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,3,4,8],[5,6,7,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,3,4,7],[5,6,8,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,3,4,6],[5,7,8,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,2,3,4,5],[6,7,8,9,10]]=>[5,5]=>[2,2,2,2,2] [[1,3,5,7,9,11],[2,4,6,8,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,5,7,9,10],[2,4,6,8,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,5,7,8,11],[2,4,6,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,5,7,8,10],[2,4,6,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,5,7,8,9],[2,4,6,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,5,6,9,11],[2,4,7,8,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,5,6,9,10],[2,4,7,8,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,5,6,8,11],[2,4,7,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,5,6,8,10],[2,4,7,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,5,6,8,9],[2,4,7,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,5,6,7,11],[2,4,8,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,5,6,7,10],[2,4,8,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,5,6,7,9],[2,4,8,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,5,6,7,8],[2,4,9,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,7,9,11],[2,5,6,8,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,7,9,10],[2,5,6,8,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,7,8,11],[2,5,6,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,7,8,10],[2,5,6,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,7,8,9],[2,5,6,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,6,9,11],[2,5,7,8,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,6,9,10],[2,5,7,8,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,6,8,11],[2,5,7,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,6,8,10],[2,5,7,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,6,8,9],[2,5,7,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,6,7,11],[2,5,8,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,6,7,10],[2,5,8,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,6,7,9],[2,5,8,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,6,7,8],[2,5,9,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,5,9,11],[2,6,7,8,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,5,9,10],[2,6,7,8,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,5,8,11],[2,6,7,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,5,8,10],[2,6,7,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,5,8,9],[2,6,7,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,5,7,11],[2,6,8,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,5,7,10],[2,6,8,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,5,7,9],[2,6,8,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,5,7,8],[2,6,9,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,5,6,11],[2,7,8,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,5,6,10],[2,7,8,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,5,6,9],[2,7,8,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,5,6,8],[2,7,9,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,3,4,5,6,7],[2,8,9,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,5,7,9,11],[3,4,6,8,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,5,7,9,10],[3,4,6,8,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,5,7,8,11],[3,4,6,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,5,7,8,10],[3,4,6,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,5,7,8,9],[3,4,6,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,5,6,9,11],[3,4,7,8,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,5,6,9,10],[3,4,7,8,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,5,6,8,11],[3,4,7,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,5,6,8,10],[3,4,7,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,5,6,8,9],[3,4,7,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,5,6,7,11],[3,4,8,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,5,6,7,10],[3,4,8,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,5,6,7,9],[3,4,8,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,5,6,7,8],[3,4,9,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,7,9,11],[3,5,6,8,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,7,9,10],[3,5,6,8,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,7,8,11],[3,5,6,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,7,8,10],[3,5,6,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,7,8,9],[3,5,6,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,6,9,11],[3,5,7,8,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,6,9,10],[3,5,7,8,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,6,8,11],[3,5,7,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,6,8,10],[3,5,7,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,6,8,9],[3,5,7,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,6,7,11],[3,5,8,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,6,7,10],[3,5,8,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,6,7,9],[3,5,8,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,6,7,8],[3,5,9,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,5,9,11],[3,6,7,8,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,5,9,10],[3,6,7,8,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,5,8,11],[3,6,7,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,5,8,10],[3,6,7,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,5,8,9],[3,6,7,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,5,7,11],[3,6,8,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,5,7,10],[3,6,8,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,5,7,9],[3,6,8,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,5,7,8],[3,6,9,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,5,6,11],[3,7,8,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,5,6,10],[3,7,8,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,5,6,9],[3,7,8,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,5,6,8],[3,7,9,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,4,5,6,7],[3,8,9,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,7,9,11],[4,5,6,8,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,7,9,10],[4,5,6,8,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,7,8,11],[4,5,6,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,7,8,10],[4,5,6,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,7,8,9],[4,5,6,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,6,9,11],[4,5,7,8,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,6,9,10],[4,5,7,8,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,6,8,11],[4,5,7,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,6,8,10],[4,5,7,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,6,8,9],[4,5,7,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,6,7,11],[4,5,8,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,6,7,10],[4,5,8,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,6,7,9],[4,5,8,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,6,7,8],[4,5,9,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,5,9,11],[4,6,7,8,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,5,9,10],[4,6,7,8,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,5,8,11],[4,6,7,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,5,8,10],[4,6,7,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,5,8,9],[4,6,7,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,5,7,11],[4,6,8,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,5,7,10],[4,6,8,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,5,7,9],[4,6,8,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,5,7,8],[4,6,9,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,5,6,11],[4,7,8,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,5,6,10],[4,7,8,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,5,6,9],[4,7,8,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,5,6,8],[4,7,9,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,5,6,7],[4,8,9,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,4,9,11],[5,6,7,8,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,4,9,10],[5,6,7,8,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,4,8,11],[5,6,7,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,4,8,10],[5,6,7,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,4,8,9],[5,6,7,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,4,7,11],[5,6,8,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,4,7,10],[5,6,8,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,4,7,9],[5,6,8,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,4,7,8],[5,6,9,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,4,6,11],[5,7,8,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,4,6,10],[5,7,8,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,4,6,9],[5,7,8,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,4,6,8],[5,7,9,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,4,6,7],[5,8,9,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,4,5,11],[6,7,8,9,10,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,4,5,10],[6,7,8,9,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,4,5,9],[6,7,8,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,4,5,8],[6,7,9,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,4,5,7],[6,8,9,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[6,6]=>[2,2,2,2,2,2] [[1,2,3,4,5,6,7,8,9]]=>[9]=>[1,1,1,1,1,1,1,1,1] [[1,2,3,4,5,6,7,8],[9]]=>[8,1]=>[2,1,1,1,1,1,1,1] [[1,2,3,4,5,6,7],[8,9]]=>[7,2]=>[2,2,1,1,1,1,1] [[1,2,3,4,5,6,7],[8],[9]]=>[7,1,1]=>[3,1,1,1,1,1,1] [[1,2,3,4,5,6],[7,8,9]]=>[6,3]=>[2,2,2,1,1,1] [[1,2,3,4,5,6],[7,8],[9]]=>[6,2,1]=>[3,2,1,1,1,1] [[1,2,3,4,5,6],[7],[8],[9]]=>[6,1,1,1]=>[4,1,1,1,1,1] [[1,2,3,4,5],[6,7,8,9]]=>[5,4]=>[2,2,2,2,1] [[1,2,3,4,5],[6,7,8],[9]]=>[5,3,1]=>[3,2,2,1,1] [[1,2,3,4,5],[6,7],[8,9]]=>[5,2,2]=>[3,3,1,1,1] [[1,2,3,4,5],[6,7],[8],[9]]=>[5,2,1,1]=>[4,2,1,1,1] [[1,2,3,4,5],[6],[7],[8],[9]]=>[5,1,1,1,1]=>[5,1,1,1,1] [[1,2,3,4],[5,6,7,8],[9]]=>[4,4,1]=>[3,2,2,2] [[1,2,3,4],[5,6,7],[8,9]]=>[4,3,2]=>[3,3,2,1] [[1,2,3,4],[5,6,7],[8],[9]]=>[4,3,1,1]=>[4,2,2,1] [[1,2,3,4],[5,6],[7,8],[9]]=>[4,2,2,1]=>[4,3,1,1] [[1,2,3,4],[5,6],[7],[8],[9]]=>[4,2,1,1,1]=>[5,2,1,1] [[1,2,3,4],[5],[6],[7],[8],[9]]=>[4,1,1,1,1,1]=>[6,1,1,1] [[1,2,3],[4,5,6],[7,8,9]]=>[3,3,3]=>[3,3,3] [[1,2,3],[4,5,6],[7,8],[9]]=>[3,3,2,1]=>[4,3,2] [[1,2,3],[4,5,6],[7],[8],[9]]=>[3,3,1,1,1]=>[5,2,2] [[1,2,3],[4,5],[6,7],[8,9]]=>[3,2,2,2]=>[4,4,1] [[1,2,3],[4,5],[6,7],[8],[9]]=>[3,2,2,1,1]=>[5,3,1] [[1,2,3],[4,5],[6],[7],[8],[9]]=>[3,2,1,1,1,1]=>[6,2,1] [[1,2,3],[4],[5],[6],[7],[8],[9]]=>[3,1,1,1,1,1,1]=>[7,1,1] [[1,2],[3,4],[5,6],[7,8],[9]]=>[2,2,2,2,1]=>[5,4] [[1,2],[3,4],[5,6],[7],[8],[9]]=>[2,2,2,1,1,1]=>[6,3] [[1,2],[3,4],[5],[6],[7],[8],[9]]=>[2,2,1,1,1,1,1]=>[7,2] [[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[2,1,1,1,1,1,1,1]=>[8,1] [[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[1,1,1,1,1,1,1,1,1]=>[9] [[1,2,3,4,5,6,7,8,9,10]]=>[10]=>[1,1,1,1,1,1,1,1,1,1] [[1,2,3,4,5,6,7,8,9],[10]]=>[9,1]=>[2,1,1,1,1,1,1,1,1] [[1,2,3,4,5,6,7,8],[9,10]]=>[8,2]=>[2,2,1,1,1,1,1,1] [[1,2,3,4,5,6,7,8],[9],[10]]=>[8,1,1]=>[3,1,1,1,1,1,1,1] [[1,2,3,4,5,6,7],[8,9,10]]=>[7,3]=>[2,2,2,1,1,1,1] [[1,2,3,4,5,6,7],[8,9],[10]]=>[7,2,1]=>[3,2,1,1,1,1,1] [[1,2,3,4,5,6,7],[8],[9],[10]]=>[7,1,1,1]=>[4,1,1,1,1,1,1] [[1,2,3,4,5,6],[7,8,9,10]]=>[6,4]=>[2,2,2,2,1,1] [[1,2,3,4,5,6],[7,8,9],[10]]=>[6,3,1]=>[3,2,2,1,1,1] [[1,2,3,4,5,6],[7,8],[9,10]]=>[6,2,2]=>[3,3,1,1,1,1] [[1,2,3,4,5,6],[7,8],[9],[10]]=>[6,2,1,1]=>[4,2,1,1,1,1] [[1,2,3,4,5,6],[7],[8],[9],[10]]=>[6,1,1,1,1]=>[5,1,1,1,1,1] [[1,2,3,4,5],[6,7,8,9],[10]]=>[5,4,1]=>[3,2,2,2,1] [[1,2,3,4,5],[6,7,8],[9,10]]=>[5,3,2]=>[3,3,2,1,1] [[1,2,3,4,5],[6,7,8],[9],[10]]=>[5,3,1,1]=>[4,2,2,1,1] [[1,2,3,4,5],[6,7],[8,9],[10]]=>[5,2,2,1]=>[4,3,1,1,1] [[1,2,3,4,5],[6,7],[8],[9],[10]]=>[5,2,1,1,1]=>[5,2,1,1,1] [[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[5,1,1,1,1,1]=>[6,1,1,1,1] [[1,2,3,4],[5,6,7,8],[9,10]]=>[4,4,2]=>[3,3,2,2] [[1,2,3,4],[5,6,7,8],[9],[10]]=>[4,4,1,1]=>[4,2,2,2] [[1,2,3,4],[5,6,7],[8,9,10]]=>[4,3,3]=>[3,3,3,1] [[1,2,3,4],[5,6,7],[8,9],[10]]=>[4,3,2,1]=>[4,3,2,1] [[1,2,3,4],[5,6,7],[8],[9],[10]]=>[4,3,1,1,1]=>[5,2,2,1] [[1,2,3,4],[5,6],[7,8],[9,10]]=>[4,2,2,2]=>[4,4,1,1] [[1,2,3,4],[5,6],[7,8],[9],[10]]=>[4,2,2,1,1]=>[5,3,1,1] [[1,2,3,4],[5,6],[7],[8],[9],[10]]=>[4,2,1,1,1,1]=>[6,2,1,1] [[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[4,1,1,1,1,1,1]=>[7,1,1,1] [[1,2,3],[4,5,6],[7,8,9],[10]]=>[3,3,3,1]=>[4,3,3] [[1,2,3],[4,5,6],[7,8],[9,10]]=>[3,3,2,2]=>[4,4,2] [[1,2,3],[4,5,6],[7,8],[9],[10]]=>[3,3,2,1,1]=>[5,3,2] [[1,2,3],[4,5,6],[7],[8],[9],[10]]=>[3,3,1,1,1,1]=>[6,2,2] [[1,2,3],[4,5],[6,7],[8,9],[10]]=>[3,2,2,2,1]=>[5,4,1] [[1,2,3],[4,5],[6,7],[8],[9],[10]]=>[3,2,2,1,1,1]=>[6,3,1] [[1,2,3],[4,5],[6],[7],[8],[9],[10]]=>[3,2,1,1,1,1,1]=>[7,2,1] [[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [[1,2],[3,4],[5,6],[7,8],[9,10]]=>[2,2,2,2,2]=>[5,5] [[1,2],[3,4],[5,6],[7,8],[9],[10]]=>[2,2,2,2,1,1]=>[6,4] [[1,2],[3,4],[5,6],[7],[8],[9],[10]]=>[2,2,2,1,1,1,1]=>[7,3] [[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>[2,2,1,1,1,1,1,1]=>[8,2] [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[2,1,1,1,1,1,1,1,1]=>[9,1] [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[1,1,1,1,1,1,1,1,1,1]=>[10] [[1,3,4,5,6,7,8,9],[2]]=>[8,1]=>[2,1,1,1,1,1,1,1] [[1,2,5,6,7,8,9],[3,4]]=>[7,2]=>[2,2,1,1,1,1,1] [[1,4,5,6,7,8,9],[2],[3]]=>[7,1,1]=>[3,1,1,1,1,1,1] [[1,2,3,7,8,9],[4,5,6]]=>[6,3]=>[2,2,2,1,1,1] [[1,3,6,7,8,9],[2,5],[4]]=>[6,2,1]=>[3,2,1,1,1,1] [[1,5,6,7,8,9],[2],[3],[4]]=>[6,1,1,1]=>[4,1,1,1,1,1] [[1,2,3,4,9],[5,6,7,8]]=>[5,4]=>[2,2,2,2,1] [[1,3,4,8,9],[2,6,7],[5]]=>[5,3,1]=>[3,2,2,1,1] [[1,2,7,8,9],[3,4],[5,6]]=>[5,2,2]=>[3,3,1,1,1] [[1,4,7,8,9],[2,6],[3],[5]]=>[5,2,1,1]=>[4,2,1,1,1] [[1,6,7,8,9],[2],[3],[4],[5]]=>[5,1,1,1,1]=>[5,1,1,1,1] [[1,3,4,5],[2,7,8,9],[6]]=>[4,4,1]=>[3,2,2,2] [[1,2,5,9],[3,4,8],[6,7]]=>[4,3,2]=>[3,3,2,1] [[1,4,5,9],[2,7,8],[3],[6]]=>[4,3,1,1]=>[4,2,2,1] [[1,3,8,9],[2,5],[4,7],[6]]=>[4,2,2,1]=>[4,3,1,1] [[1,5,8,9],[2,7],[3],[4],[6]]=>[4,2,1,1,1]=>[5,2,1,1] [[1,7,8,9],[2],[3],[4],[5],[6]]=>[4,1,1,1,1,1]=>[6,1,1,1] [[1,3,6],[2,5,9],[4,8],[7]]=>[3,3,2,1]=>[4,3,2] [[1,5,6],[2,8,9],[3],[4],[7]]=>[3,3,1,1,1]=>[5,2,2] [[1,2,9],[3,4],[5,6],[7,8]]=>[3,2,2,2]=>[4,4,1] [[1,4,9],[2,6],[3,8],[5],[7]]=>[3,2,2,1,1]=>[5,3,1] [[1,6,9],[2,8],[3],[4],[5],[7]]=>[3,2,1,1,1,1]=>[6,2,1] [[1,8,9],[2],[3],[4],[5],[6],[7]]=>[3,1,1,1,1,1,1]=>[7,1,1] [[1,3],[2,5],[4,7],[6,9],[8]]=>[2,2,2,2,1]=>[5,4] [[1,5],[2,7],[3,9],[4],[6],[8]]=>[2,2,2,1,1,1]=>[6,3] [[1,7],[2,9],[3],[4],[5],[6],[8]]=>[2,2,1,1,1,1,1]=>[7,2] [[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[2,1,1,1,1,1,1,1]=>[8,1] [[1,3,4,5,6,7,8,9,10],[2]]=>[9,1]=>[2,1,1,1,1,1,1,1,1] [[1,2,5,6,7,8,9,10],[3,4]]=>[8,2]=>[2,2,1,1,1,1,1,1] [[1,4,5,6,7,8,9,10],[2],[3]]=>[8,1,1]=>[3,1,1,1,1,1,1,1] [[1,2,3,7,8,9,10],[4,5,6]]=>[7,3]=>[2,2,2,1,1,1,1] [[1,3,6,7,8,9,10],[2,5],[4]]=>[7,2,1]=>[3,2,1,1,1,1,1] [[1,5,6,7,8,9,10],[2],[3],[4]]=>[7,1,1,1]=>[4,1,1,1,1,1,1] [[1,2,3,4,9,10],[5,6,7,8]]=>[6,4]=>[2,2,2,2,1,1] [[1,3,4,8,9,10],[2,6,7],[5]]=>[6,3,1]=>[3,2,2,1,1,1] [[1,2,7,8,9,10],[3,4],[5,6]]=>[6,2,2]=>[3,3,1,1,1,1] [[1,4,7,8,9,10],[2,6],[3],[5]]=>[6,2,1,1]=>[4,2,1,1,1,1] [[1,6,7,8,9,10],[2],[3],[4],[5]]=>[6,1,1,1,1]=>[5,1,1,1,1,1] [[1,3,4,5,10],[2,7,8,9],[6]]=>[5,4,1]=>[3,2,2,2,1] [[1,2,5,9,10],[3,4,8],[6,7]]=>[5,3,2]=>[3,3,2,1,1] [[1,4,5,9,10],[2,7,8],[3],[6]]=>[5,3,1,1]=>[4,2,2,1,1] [[1,3,8,9,10],[2,5],[4,7],[6]]=>[5,2,2,1]=>[4,3,1,1,1] [[1,5,8,9,10],[2,7],[3],[4],[6]]=>[5,2,1,1,1]=>[5,2,1,1,1] [[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[5,1,1,1,1,1]=>[6,1,1,1,1] [[1,2,5,6],[3,4,9,10],[7,8]]=>[4,4,2]=>[3,3,2,2] [[1,4,5,6],[2,8,9,10],[3],[7]]=>[4,4,1,1]=>[4,2,2,2] [[1,2,3,10],[4,5,6],[7,8,9]]=>[4,3,3]=>[3,3,3,1] [[1,3,6,10],[2,5,9],[4,8],[7]]=>[4,3,2,1]=>[4,3,2,1] [[1,5,6,10],[2,8,9],[3],[4],[7]]=>[4,3,1,1,1]=>[5,2,2,1] [[1,2,9,10],[3,4],[5,6],[7,8]]=>[4,2,2,2]=>[4,4,1,1] [[1,4,9,10],[2,6],[3,8],[5],[7]]=>[4,2,2,1,1]=>[5,3,1,1] [[1,6,9,10],[2,8],[3],[4],[5],[7]]=>[4,2,1,1,1,1]=>[6,2,1,1] [[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[4,1,1,1,1,1,1]=>[7,1,1,1] [[1,3,4],[2,6,7],[5,9,10],[8]]=>[3,3,3,1]=>[4,3,3] [[1,2,7],[3,4,10],[5,6],[8,9]]=>[3,3,2,2]=>[4,4,2] [[1,4,7],[2,6,10],[3,9],[5],[8]]=>[3,3,2,1,1]=>[5,3,2] [[1,6,7],[2,9,10],[3],[4],[5],[8]]=>[3,3,1,1,1,1]=>[6,2,2] [[1,3,10],[2,5],[4,7],[6,9],[8]]=>[3,2,2,2,1]=>[5,4,1] [[1,5,10],[2,7],[3,9],[4],[6],[8]]=>[3,2,2,1,1,1]=>[6,3,1] [[1,7,10],[2,9],[3],[4],[5],[6],[8]]=>[3,2,1,1,1,1,1]=>[7,2,1] [[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[3,1,1,1,1,1,1,1]=>[8,1,1] [[1,4],[2,6],[3,8],[5,10],[7],[9]]=>[2,2,2,2,1,1]=>[6,4] [[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>[2,2,2,1,1,1,1]=>[7,3] [[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>[2,2,1,1,1,1,1,1]=>[8,2] [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[2,1,1,1,1,1,1,1,1]=>[9,1]
Map
shape
Description
Sends a tableau to its shape.
Map
conjugate
Description
Return the conjugate partition of the partition.
The conjugate partition of the partition $\lambda$ of $n$ is the partition $\lambda^*$ whose Ferrers diagram is obtained from the diagram of $\lambda$ by interchanging rows with columns.
This is also called the associated partition or the transpose in the literature.