Identifier
Mp00106: Standard tableaux —catabolism⟶ Standard tableaux
Mp00083: Standard tableaux —shape⟶ Integer partitions
Images
=>
Cc0007;cc-rep-0Cc0007;cc-rep-1Cc0002;cc-rep-2
[[1]]=>[[1]]=>[1] [[1,2]]=>[[1,2]]=>[2] [[1],[2]]=>[[1,2]]=>[2] [[1,2,3]]=>[[1,2,3]]=>[3] [[1,3],[2]]=>[[1,2],[3]]=>[2,1] [[1,2],[3]]=>[[1,2,3]]=>[3] [[1],[2],[3]]=>[[1,2],[3]]=>[2,1] [[1,2,3,4]]=>[[1,2,3,4]]=>[4] [[1,3,4],[2]]=>[[1,2,4],[3]]=>[3,1] [[1,2,4],[3]]=>[[1,2,3],[4]]=>[3,1] [[1,2,3],[4]]=>[[1,2,3,4]]=>[4] [[1,3],[2,4]]=>[[1,2,4],[3]]=>[3,1] [[1,2],[3,4]]=>[[1,2,3,4]]=>[4] [[1,4],[2],[3]]=>[[1,2],[3],[4]]=>[2,1,1] [[1,3],[2],[4]]=>[[1,2,4],[3]]=>[3,1] [[1,2],[3],[4]]=>[[1,2,3],[4]]=>[3,1] [[1],[2],[3],[4]]=>[[1,2],[3],[4]]=>[2,1,1] [[1,2,3,4,5]]=>[[1,2,3,4,5]]=>[5] [[1,3,4,5],[2]]=>[[1,2,4,5],[3]]=>[4,1] [[1,2,4,5],[3]]=>[[1,2,3,5],[4]]=>[4,1] [[1,2,3,5],[4]]=>[[1,2,3,4],[5]]=>[4,1] [[1,2,3,4],[5]]=>[[1,2,3,4,5]]=>[5] [[1,3,5],[2,4]]=>[[1,2,4],[3,5]]=>[3,2] [[1,2,5],[3,4]]=>[[1,2,3,4],[5]]=>[4,1] [[1,3,4],[2,5]]=>[[1,2,4,5],[3]]=>[4,1] [[1,2,4],[3,5]]=>[[1,2,3,5],[4]]=>[4,1] [[1,2,3],[4,5]]=>[[1,2,3,4,5]]=>[5] [[1,4,5],[2],[3]]=>[[1,2,5],[3],[4]]=>[3,1,1] [[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]=>[3,1,1] [[1,2,5],[3],[4]]=>[[1,2,3],[4],[5]]=>[3,1,1] [[1,3,4],[2],[5]]=>[[1,2,4,5],[3]]=>[4,1] [[1,2,4],[3],[5]]=>[[1,2,3,5],[4]]=>[4,1] [[1,2,3],[4],[5]]=>[[1,2,3,4],[5]]=>[4,1] [[1,4],[2,5],[3]]=>[[1,2,5],[3],[4]]=>[3,1,1] [[1,3],[2,5],[4]]=>[[1,2,4,5],[3]]=>[4,1] [[1,2],[3,5],[4]]=>[[1,2,3,5],[4]]=>[4,1] [[1,3],[2,4],[5]]=>[[1,2,4],[3,5]]=>[3,2] [[1,2],[3,4],[5]]=>[[1,2,3,4],[5]]=>[4,1] [[1,5],[2],[3],[4]]=>[[1,2],[3],[4],[5]]=>[2,1,1,1] [[1,4],[2],[3],[5]]=>[[1,2,5],[3],[4]]=>[3,1,1] [[1,3],[2],[4],[5]]=>[[1,2,4],[3],[5]]=>[3,1,1] [[1,2],[3],[4],[5]]=>[[1,2,3],[4],[5]]=>[3,1,1] [[1],[2],[3],[4],[5]]=>[[1,2],[3],[4],[5]]=>[2,1,1,1] [[1,2,3,4,5,6]]=>[[1,2,3,4,5,6]]=>[6] [[1,3,4,5,6],[2]]=>[[1,2,4,5,6],[3]]=>[5,1] [[1,2,4,5,6],[3]]=>[[1,2,3,5,6],[4]]=>[5,1] [[1,2,3,5,6],[4]]=>[[1,2,3,4,6],[5]]=>[5,1] [[1,2,3,4,6],[5]]=>[[1,2,3,4,5],[6]]=>[5,1] [[1,2,3,4,5],[6]]=>[[1,2,3,4,5,6]]=>[6] [[1,3,5,6],[2,4]]=>[[1,2,4,6],[3,5]]=>[4,2] [[1,2,5,6],[3,4]]=>[[1,2,3,4],[5,6]]=>[4,2] [[1,3,4,6],[2,5]]=>[[1,2,4,5],[3,6]]=>[4,2] [[1,2,4,6],[3,5]]=>[[1,2,3,5],[4,6]]=>[4,2] [[1,2,3,6],[4,5]]=>[[1,2,3,4,5],[6]]=>[5,1] [[1,3,4,5],[2,6]]=>[[1,2,4,5,6],[3]]=>[5,1] [[1,2,4,5],[3,6]]=>[[1,2,3,5,6],[4]]=>[5,1] [[1,2,3,5],[4,6]]=>[[1,2,3,4,6],[5]]=>[5,1] [[1,2,3,4],[5,6]]=>[[1,2,3,4,5,6]]=>[6] [[1,4,5,6],[2],[3]]=>[[1,2,5,6],[3],[4]]=>[4,1,1] [[1,3,5,6],[2],[4]]=>[[1,2,4,6],[3],[5]]=>[4,1,1] [[1,2,5,6],[3],[4]]=>[[1,2,3,6],[4],[5]]=>[4,1,1] [[1,3,4,6],[2],[5]]=>[[1,2,4,5],[3],[6]]=>[4,1,1] [[1,2,4,6],[3],[5]]=>[[1,2,3,5],[4],[6]]=>[4,1,1] [[1,2,3,6],[4],[5]]=>[[1,2,3,4],[5],[6]]=>[4,1,1] [[1,3,4,5],[2],[6]]=>[[1,2,4,5,6],[3]]=>[5,1] [[1,2,4,5],[3],[6]]=>[[1,2,3,5,6],[4]]=>[5,1] [[1,2,3,5],[4],[6]]=>[[1,2,3,4,6],[5]]=>[5,1] [[1,2,3,4],[5],[6]]=>[[1,2,3,4,5],[6]]=>[5,1] [[1,3,5],[2,4,6]]=>[[1,2,4,6],[3,5]]=>[4,2] [[1,2,5],[3,4,6]]=>[[1,2,3,4,6],[5]]=>[5,1] [[1,3,4],[2,5,6]]=>[[1,2,4,5,6],[3]]=>[5,1] [[1,2,4],[3,5,6]]=>[[1,2,3,5,6],[4]]=>[5,1] [[1,2,3],[4,5,6]]=>[[1,2,3,4,5,6]]=>[6] [[1,4,6],[2,5],[3]]=>[[1,2,5],[3,6],[4]]=>[3,2,1] [[1,3,6],[2,5],[4]]=>[[1,2,4,5],[3],[6]]=>[4,1,1] [[1,2,6],[3,5],[4]]=>[[1,2,3,5],[4],[6]]=>[4,1,1] [[1,3,6],[2,4],[5]]=>[[1,2,4],[3,5],[6]]=>[3,2,1] [[1,2,6],[3,4],[5]]=>[[1,2,3,4],[5],[6]]=>[4,1,1] [[1,4,5],[2,6],[3]]=>[[1,2,5,6],[3],[4]]=>[4,1,1] [[1,3,5],[2,6],[4]]=>[[1,2,4,6],[3],[5]]=>[4,1,1] [[1,2,5],[3,6],[4]]=>[[1,2,3,6],[4],[5]]=>[4,1,1] [[1,3,4],[2,6],[5]]=>[[1,2,4,5,6],[3]]=>[5,1] [[1,2,4],[3,6],[5]]=>[[1,2,3,5,6],[4]]=>[5,1] [[1,2,3],[4,6],[5]]=>[[1,2,3,4,6],[5]]=>[5,1] [[1,3,5],[2,4],[6]]=>[[1,2,4,6],[3,5]]=>[4,2] [[1,2,5],[3,4],[6]]=>[[1,2,3,4],[5,6]]=>[4,2] [[1,3,4],[2,5],[6]]=>[[1,2,4,5],[3,6]]=>[4,2] [[1,2,4],[3,5],[6]]=>[[1,2,3,5],[4,6]]=>[4,2] [[1,2,3],[4,5],[6]]=>[[1,2,3,4,5],[6]]=>[5,1] [[1,5,6],[2],[3],[4]]=>[[1,2,6],[3],[4],[5]]=>[3,1,1,1] [[1,4,6],[2],[3],[5]]=>[[1,2,5],[3],[4],[6]]=>[3,1,1,1] [[1,3,6],[2],[4],[5]]=>[[1,2,4],[3],[5],[6]]=>[3,1,1,1] [[1,2,6],[3],[4],[5]]=>[[1,2,3],[4],[5],[6]]=>[3,1,1,1] [[1,4,5],[2],[3],[6]]=>[[1,2,5,6],[3],[4]]=>[4,1,1] [[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]=>[4,1,1] [[1,2,5],[3],[4],[6]]=>[[1,2,3,6],[4],[5]]=>[4,1,1] [[1,3,4],[2],[5],[6]]=>[[1,2,4,5],[3],[6]]=>[4,1,1] [[1,2,4],[3],[5],[6]]=>[[1,2,3,5],[4],[6]]=>[4,1,1] [[1,2,3],[4],[5],[6]]=>[[1,2,3,4],[5],[6]]=>[4,1,1] [[1,4],[2,5],[3,6]]=>[[1,2,5],[3,6],[4]]=>[3,2,1] [[1,3],[2,5],[4,6]]=>[[1,2,4,5],[3,6]]=>[4,2] [[1,2],[3,5],[4,6]]=>[[1,2,3,5],[4,6]]=>[4,2] [[1,3],[2,4],[5,6]]=>[[1,2,4,6],[3,5]]=>[4,2] [[1,2],[3,4],[5,6]]=>[[1,2,3,4],[5,6]]=>[4,2] [[1,5],[2,6],[3],[4]]=>[[1,2,6],[3],[4],[5]]=>[3,1,1,1] [[1,4],[2,6],[3],[5]]=>[[1,2,5,6],[3],[4]]=>[4,1,1] [[1,3],[2,6],[4],[5]]=>[[1,2,4,6],[3],[5]]=>[4,1,1] [[1,2],[3,6],[4],[5]]=>[[1,2,3,6],[4],[5]]=>[4,1,1] [[1,4],[2,5],[3],[6]]=>[[1,2,5],[3,6],[4]]=>[3,2,1] [[1,3],[2,5],[4],[6]]=>[[1,2,4,5],[3],[6]]=>[4,1,1] [[1,2],[3,5],[4],[6]]=>[[1,2,3,5],[4],[6]]=>[4,1,1] [[1,3],[2,4],[5],[6]]=>[[1,2,4],[3,5],[6]]=>[3,2,1] [[1,2],[3,4],[5],[6]]=>[[1,2,3,4],[5],[6]]=>[4,1,1] [[1,6],[2],[3],[4],[5]]=>[[1,2],[3],[4],[5],[6]]=>[2,1,1,1,1] [[1,5],[2],[3],[4],[6]]=>[[1,2,6],[3],[4],[5]]=>[3,1,1,1] [[1,4],[2],[3],[5],[6]]=>[[1,2,5],[3],[4],[6]]=>[3,1,1,1] [[1,3],[2],[4],[5],[6]]=>[[1,2,4],[3],[5],[6]]=>[3,1,1,1] [[1,2],[3],[4],[5],[6]]=>[[1,2,3],[4],[5],[6]]=>[3,1,1,1] [[1],[2],[3],[4],[5],[6]]=>[[1,2],[3],[4],[5],[6]]=>[2,1,1,1,1] [[1,2,3,4,5,6,7]]=>[[1,2,3,4,5,6,7]]=>[7] [[1,3,4,5,6,7],[2]]=>[[1,2,4,5,6,7],[3]]=>[6,1] [[1,2,4,5,6,7],[3]]=>[[1,2,3,5,6,7],[4]]=>[6,1] [[1,2,3,5,6,7],[4]]=>[[1,2,3,4,6,7],[5]]=>[6,1] [[1,2,3,4,6,7],[5]]=>[[1,2,3,4,5,7],[6]]=>[6,1] [[1,2,3,4,5,7],[6]]=>[[1,2,3,4,5,6],[7]]=>[6,1] [[1,2,3,4,5,6],[7]]=>[[1,2,3,4,5,6,7]]=>[7] [[1,3,5,6,7],[2,4]]=>[[1,2,4,6,7],[3,5]]=>[5,2] [[1,2,5,6,7],[3,4]]=>[[1,2,3,4,7],[5,6]]=>[5,2] [[1,3,4,6,7],[2,5]]=>[[1,2,4,5,7],[3,6]]=>[5,2] [[1,2,4,6,7],[3,5]]=>[[1,2,3,5,7],[4,6]]=>[5,2] [[1,2,3,6,7],[4,5]]=>[[1,2,3,4,5],[6,7]]=>[5,2] [[1,3,4,5,7],[2,6]]=>[[1,2,4,5,6],[3,7]]=>[5,2] [[1,2,4,5,7],[3,6]]=>[[1,2,3,5,6],[4,7]]=>[5,2] [[1,2,3,5,7],[4,6]]=>[[1,2,3,4,6],[5,7]]=>[5,2] [[1,2,3,4,7],[5,6]]=>[[1,2,3,4,5,6],[7]]=>[6,1] [[1,3,4,5,6],[2,7]]=>[[1,2,4,5,6,7],[3]]=>[6,1] [[1,2,4,5,6],[3,7]]=>[[1,2,3,5,6,7],[4]]=>[6,1] [[1,2,3,5,6],[4,7]]=>[[1,2,3,4,6,7],[5]]=>[6,1] [[1,2,3,4,6],[5,7]]=>[[1,2,3,4,5,7],[6]]=>[6,1] [[1,2,3,4,5],[6,7]]=>[[1,2,3,4,5,6,7]]=>[7] [[1,4,5,6,7],[2],[3]]=>[[1,2,5,6,7],[3],[4]]=>[5,1,1] [[1,3,5,6,7],[2],[4]]=>[[1,2,4,6,7],[3],[5]]=>[5,1,1] [[1,2,5,6,7],[3],[4]]=>[[1,2,3,6,7],[4],[5]]=>[5,1,1] [[1,3,4,6,7],[2],[5]]=>[[1,2,4,5,7],[3],[6]]=>[5,1,1] [[1,2,4,6,7],[3],[5]]=>[[1,2,3,5,7],[4],[6]]=>[5,1,1] [[1,2,3,6,7],[4],[5]]=>[[1,2,3,4,7],[5],[6]]=>[5,1,1] [[1,3,4,5,7],[2],[6]]=>[[1,2,4,5,6],[3],[7]]=>[5,1,1] [[1,2,4,5,7],[3],[6]]=>[[1,2,3,5,6],[4],[7]]=>[5,1,1] [[1,2,3,5,7],[4],[6]]=>[[1,2,3,4,6],[5],[7]]=>[5,1,1] [[1,2,3,4,7],[5],[6]]=>[[1,2,3,4,5],[6],[7]]=>[5,1,1] [[1,3,4,5,6],[2],[7]]=>[[1,2,4,5,6,7],[3]]=>[6,1] [[1,2,4,5,6],[3],[7]]=>[[1,2,3,5,6,7],[4]]=>[6,1] [[1,2,3,5,6],[4],[7]]=>[[1,2,3,4,6,7],[5]]=>[6,1] [[1,2,3,4,6],[5],[7]]=>[[1,2,3,4,5,7],[6]]=>[6,1] [[1,2,3,4,5],[6],[7]]=>[[1,2,3,4,5,6],[7]]=>[6,1] [[1,3,5,7],[2,4,6]]=>[[1,2,4,6],[3,5,7]]=>[4,3] [[1,2,5,7],[3,4,6]]=>[[1,2,3,4,6],[5,7]]=>[5,2] [[1,3,4,7],[2,5,6]]=>[[1,2,4,5,6],[3,7]]=>[5,2] [[1,2,4,7],[3,5,6]]=>[[1,2,3,5,6],[4,7]]=>[5,2] [[1,2,3,7],[4,5,6]]=>[[1,2,3,4,5,6],[7]]=>[6,1] [[1,3,5,6],[2,4,7]]=>[[1,2,4,6,7],[3,5]]=>[5,2] [[1,2,5,6],[3,4,7]]=>[[1,2,3,4,7],[5,6]]=>[5,2] [[1,3,4,6],[2,5,7]]=>[[1,2,4,5,7],[3,6]]=>[5,2] [[1,2,4,6],[3,5,7]]=>[[1,2,3,5,7],[4,6]]=>[5,2] [[1,2,3,6],[4,5,7]]=>[[1,2,3,4,5,7],[6]]=>[6,1] [[1,3,4,5],[2,6,7]]=>[[1,2,4,5,6,7],[3]]=>[6,1] [[1,2,4,5],[3,6,7]]=>[[1,2,3,5,6,7],[4]]=>[6,1] [[1,2,3,5],[4,6,7]]=>[[1,2,3,4,6,7],[5]]=>[6,1] [[1,2,3,4],[5,6,7]]=>[[1,2,3,4,5,6,7]]=>[7] [[1,4,6,7],[2,5],[3]]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1] [[1,3,6,7],[2,5],[4]]=>[[1,2,4,5],[3,7],[6]]=>[4,2,1] [[1,2,6,7],[3,5],[4]]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1] [[1,3,6,7],[2,4],[5]]=>[[1,2,4,7],[3,5],[6]]=>[4,2,1] [[1,2,6,7],[3,4],[5]]=>[[1,2,3,4],[5,7],[6]]=>[4,2,1] [[1,4,5,7],[2,6],[3]]=>[[1,2,5,6],[3,7],[4]]=>[4,2,1] [[1,3,5,7],[2,6],[4]]=>[[1,2,4,6],[3,7],[5]]=>[4,2,1] [[1,2,5,7],[3,6],[4]]=>[[1,2,3,6],[4,7],[5]]=>[4,2,1] [[1,3,4,7],[2,6],[5]]=>[[1,2,4,5,6],[3],[7]]=>[5,1,1] [[1,2,4,7],[3,6],[5]]=>[[1,2,3,5,6],[4],[7]]=>[5,1,1] [[1,2,3,7],[4,6],[5]]=>[[1,2,3,4,6],[5],[7]]=>[5,1,1] [[1,3,5,7],[2,4],[6]]=>[[1,2,4,6],[3,5],[7]]=>[4,2,1] [[1,2,5,7],[3,4],[6]]=>[[1,2,3,4],[5,6],[7]]=>[4,2,1] [[1,3,4,7],[2,5],[6]]=>[[1,2,4,5],[3,6],[7]]=>[4,2,1] [[1,2,4,7],[3,5],[6]]=>[[1,2,3,5],[4,6],[7]]=>[4,2,1] [[1,2,3,7],[4,5],[6]]=>[[1,2,3,4,5],[6],[7]]=>[5,1,1] [[1,4,5,6],[2,7],[3]]=>[[1,2,5,6,7],[3],[4]]=>[5,1,1] [[1,3,5,6],[2,7],[4]]=>[[1,2,4,6,7],[3],[5]]=>[5,1,1] [[1,2,5,6],[3,7],[4]]=>[[1,2,3,6,7],[4],[5]]=>[5,1,1] [[1,3,4,6],[2,7],[5]]=>[[1,2,4,5,7],[3],[6]]=>[5,1,1] [[1,2,4,6],[3,7],[5]]=>[[1,2,3,5,7],[4],[6]]=>[5,1,1] [[1,2,3,6],[4,7],[5]]=>[[1,2,3,4,7],[5],[6]]=>[5,1,1] [[1,3,4,5],[2,7],[6]]=>[[1,2,4,5,6,7],[3]]=>[6,1] [[1,2,4,5],[3,7],[6]]=>[[1,2,3,5,6,7],[4]]=>[6,1] [[1,2,3,5],[4,7],[6]]=>[[1,2,3,4,6,7],[5]]=>[6,1] [[1,2,3,4],[5,7],[6]]=>[[1,2,3,4,5,7],[6]]=>[6,1] [[1,3,5,6],[2,4],[7]]=>[[1,2,4,6,7],[3,5]]=>[5,2] [[1,2,5,6],[3,4],[7]]=>[[1,2,3,4,7],[5,6]]=>[5,2] [[1,3,4,6],[2,5],[7]]=>[[1,2,4,5,7],[3,6]]=>[5,2] [[1,2,4,6],[3,5],[7]]=>[[1,2,3,5,7],[4,6]]=>[5,2] [[1,2,3,6],[4,5],[7]]=>[[1,2,3,4,5],[6,7]]=>[5,2] [[1,3,4,5],[2,6],[7]]=>[[1,2,4,5,6],[3,7]]=>[5,2] [[1,2,4,5],[3,6],[7]]=>[[1,2,3,5,6],[4,7]]=>[5,2] [[1,2,3,5],[4,6],[7]]=>[[1,2,3,4,6],[5,7]]=>[5,2] [[1,2,3,4],[5,6],[7]]=>[[1,2,3,4,5,6],[7]]=>[6,1] [[1,5,6,7],[2],[3],[4]]=>[[1,2,6,7],[3],[4],[5]]=>[4,1,1,1] [[1,4,6,7],[2],[3],[5]]=>[[1,2,5,7],[3],[4],[6]]=>[4,1,1,1] [[1,3,6,7],[2],[4],[5]]=>[[1,2,4,7],[3],[5],[6]]=>[4,1,1,1] [[1,2,6,7],[3],[4],[5]]=>[[1,2,3,7],[4],[5],[6]]=>[4,1,1,1] [[1,4,5,7],[2],[3],[6]]=>[[1,2,5,6],[3],[4],[7]]=>[4,1,1,1] [[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]=>[4,1,1,1] [[1,2,5,7],[3],[4],[6]]=>[[1,2,3,6],[4],[5],[7]]=>[4,1,1,1] [[1,3,4,7],[2],[5],[6]]=>[[1,2,4,5],[3],[6],[7]]=>[4,1,1,1] [[1,2,4,7],[3],[5],[6]]=>[[1,2,3,5],[4],[6],[7]]=>[4,1,1,1] [[1,2,3,7],[4],[5],[6]]=>[[1,2,3,4],[5],[6],[7]]=>[4,1,1,1] [[1,4,5,6],[2],[3],[7]]=>[[1,2,5,6,7],[3],[4]]=>[5,1,1] [[1,3,5,6],[2],[4],[7]]=>[[1,2,4,6,7],[3],[5]]=>[5,1,1] [[1,2,5,6],[3],[4],[7]]=>[[1,2,3,6,7],[4],[5]]=>[5,1,1] [[1,3,4,6],[2],[5],[7]]=>[[1,2,4,5,7],[3],[6]]=>[5,1,1] [[1,2,4,6],[3],[5],[7]]=>[[1,2,3,5,7],[4],[6]]=>[5,1,1] [[1,2,3,6],[4],[5],[7]]=>[[1,2,3,4,7],[5],[6]]=>[5,1,1] [[1,3,4,5],[2],[6],[7]]=>[[1,2,4,5,6],[3],[7]]=>[5,1,1] [[1,2,4,5],[3],[6],[7]]=>[[1,2,3,5,6],[4],[7]]=>[5,1,1] [[1,2,3,5],[4],[6],[7]]=>[[1,2,3,4,6],[5],[7]]=>[5,1,1] [[1,2,3,4],[5],[6],[7]]=>[[1,2,3,4,5],[6],[7]]=>[5,1,1] [[1,4,6],[2,5,7],[3]]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1] [[1,3,6],[2,5,7],[4]]=>[[1,2,4,5,7],[3],[6]]=>[5,1,1] [[1,2,6],[3,5,7],[4]]=>[[1,2,3,5,7],[4],[6]]=>[5,1,1] [[1,3,6],[2,4,7],[5]]=>[[1,2,4,7],[3,5],[6]]=>[4,2,1] [[1,2,6],[3,4,7],[5]]=>[[1,2,3,4,7],[5],[6]]=>[5,1,1] [[1,4,5],[2,6,7],[3]]=>[[1,2,5,6,7],[3],[4]]=>[5,1,1] [[1,3,5],[2,6,7],[4]]=>[[1,2,4,6,7],[3],[5]]=>[5,1,1] [[1,2,5],[3,6,7],[4]]=>[[1,2,3,6,7],[4],[5]]=>[5,1,1] [[1,3,4],[2,6,7],[5]]=>[[1,2,4,5,6,7],[3]]=>[6,1] [[1,2,4],[3,6,7],[5]]=>[[1,2,3,5,6,7],[4]]=>[6,1] [[1,2,3],[4,6,7],[5]]=>[[1,2,3,4,6,7],[5]]=>[6,1] [[1,3,5],[2,4,7],[6]]=>[[1,2,4,6,7],[3,5]]=>[5,2] [[1,2,5],[3,4,7],[6]]=>[[1,2,3,4,7],[5,6]]=>[5,2] [[1,3,4],[2,5,7],[6]]=>[[1,2,4,5,7],[3,6]]=>[5,2] [[1,2,4],[3,5,7],[6]]=>[[1,2,3,5,7],[4,6]]=>[5,2] [[1,2,3],[4,5,7],[6]]=>[[1,2,3,4,5,7],[6]]=>[6,1] [[1,3,5],[2,4,6],[7]]=>[[1,2,4,6],[3,5,7]]=>[4,3] [[1,2,5],[3,4,6],[7]]=>[[1,2,3,4,6],[5,7]]=>[5,2] [[1,3,4],[2,5,6],[7]]=>[[1,2,4,5,6],[3,7]]=>[5,2] [[1,2,4],[3,5,6],[7]]=>[[1,2,3,5,6],[4,7]]=>[5,2] [[1,2,3],[4,5,6],[7]]=>[[1,2,3,4,5,6],[7]]=>[6,1] [[1,4,7],[2,5],[3,6]]=>[[1,2,5],[3,6],[4,7]]=>[3,2,2] [[1,3,7],[2,5],[4,6]]=>[[1,2,4,5],[3,6],[7]]=>[4,2,1] [[1,2,7],[3,5],[4,6]]=>[[1,2,3,5],[4,6],[7]]=>[4,2,1] [[1,3,7],[2,4],[5,6]]=>[[1,2,4,6],[3,5],[7]]=>[4,2,1] [[1,2,7],[3,4],[5,6]]=>[[1,2,3,4],[5,6],[7]]=>[4,2,1] [[1,4,6],[2,5],[3,7]]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1] [[1,3,6],[2,5],[4,7]]=>[[1,2,4,5],[3,7],[6]]=>[4,2,1] [[1,2,6],[3,5],[4,7]]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1] [[1,3,6],[2,4],[5,7]]=>[[1,2,4,7],[3,5],[6]]=>[4,2,1] [[1,2,6],[3,4],[5,7]]=>[[1,2,3,4],[5,7],[6]]=>[4,2,1] [[1,4,5],[2,6],[3,7]]=>[[1,2,5,6],[3,7],[4]]=>[4,2,1] [[1,3,5],[2,6],[4,7]]=>[[1,2,4,6],[3,7],[5]]=>[4,2,1] [[1,2,5],[3,6],[4,7]]=>[[1,2,3,6],[4,7],[5]]=>[4,2,1] [[1,3,4],[2,6],[5,7]]=>[[1,2,4,5,6],[3,7]]=>[5,2] [[1,2,4],[3,6],[5,7]]=>[[1,2,3,5,6],[4,7]]=>[5,2] [[1,2,3],[4,6],[5,7]]=>[[1,2,3,4,6],[5,7]]=>[5,2] [[1,3,5],[2,4],[6,7]]=>[[1,2,4,6,7],[3,5]]=>[5,2] [[1,2,5],[3,4],[6,7]]=>[[1,2,3,4,7],[5,6]]=>[5,2] [[1,3,4],[2,5],[6,7]]=>[[1,2,4,5,7],[3,6]]=>[5,2] [[1,2,4],[3,5],[6,7]]=>[[1,2,3,5,7],[4,6]]=>[5,2] [[1,2,3],[4,5],[6,7]]=>[[1,2,3,4,5],[6,7]]=>[5,2] [[1,5,7],[2,6],[3],[4]]=>[[1,2,6],[3,7],[4],[5]]=>[3,2,1,1] [[1,4,7],[2,6],[3],[5]]=>[[1,2,5,6],[3],[4],[7]]=>[4,1,1,1] [[1,3,7],[2,6],[4],[5]]=>[[1,2,4,6],[3],[5],[7]]=>[4,1,1,1] [[1,2,7],[3,6],[4],[5]]=>[[1,2,3,6],[4],[5],[7]]=>[4,1,1,1] [[1,4,7],[2,5],[3],[6]]=>[[1,2,5],[3,6],[4],[7]]=>[3,2,1,1] [[1,3,7],[2,5],[4],[6]]=>[[1,2,4,5],[3],[6],[7]]=>[4,1,1,1] [[1,2,7],[3,5],[4],[6]]=>[[1,2,3,5],[4],[6],[7]]=>[4,1,1,1] [[1,3,7],[2,4],[5],[6]]=>[[1,2,4],[3,5],[6],[7]]=>[3,2,1,1] [[1,2,7],[3,4],[5],[6]]=>[[1,2,3,4],[5],[6],[7]]=>[4,1,1,1] [[1,5,6],[2,7],[3],[4]]=>[[1,2,6,7],[3],[4],[5]]=>[4,1,1,1] [[1,4,6],[2,7],[3],[5]]=>[[1,2,5,7],[3],[4],[6]]=>[4,1,1,1] [[1,3,6],[2,7],[4],[5]]=>[[1,2,4,7],[3],[5],[6]]=>[4,1,1,1] [[1,2,6],[3,7],[4],[5]]=>[[1,2,3,7],[4],[5],[6]]=>[4,1,1,1] [[1,4,5],[2,7],[3],[6]]=>[[1,2,5,6,7],[3],[4]]=>[5,1,1] [[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6,7],[3],[5]]=>[5,1,1] [[1,2,5],[3,7],[4],[6]]=>[[1,2,3,6,7],[4],[5]]=>[5,1,1] [[1,3,4],[2,7],[5],[6]]=>[[1,2,4,5,7],[3],[6]]=>[5,1,1] [[1,2,4],[3,7],[5],[6]]=>[[1,2,3,5,7],[4],[6]]=>[5,1,1] [[1,2,3],[4,7],[5],[6]]=>[[1,2,3,4,7],[5],[6]]=>[5,1,1] [[1,4,6],[2,5],[3],[7]]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1] [[1,3,6],[2,5],[4],[7]]=>[[1,2,4,5],[3,7],[6]]=>[4,2,1] [[1,2,6],[3,5],[4],[7]]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1] [[1,3,6],[2,4],[5],[7]]=>[[1,2,4,7],[3,5],[6]]=>[4,2,1] [[1,2,6],[3,4],[5],[7]]=>[[1,2,3,4],[5,7],[6]]=>[4,2,1] [[1,4,5],[2,6],[3],[7]]=>[[1,2,5,6],[3,7],[4]]=>[4,2,1] [[1,3,5],[2,6],[4],[7]]=>[[1,2,4,6],[3,7],[5]]=>[4,2,1] [[1,2,5],[3,6],[4],[7]]=>[[1,2,3,6],[4,7],[5]]=>[4,2,1] [[1,3,4],[2,6],[5],[7]]=>[[1,2,4,5,6],[3],[7]]=>[5,1,1] [[1,2,4],[3,6],[5],[7]]=>[[1,2,3,5,6],[4],[7]]=>[5,1,1] [[1,2,3],[4,6],[5],[7]]=>[[1,2,3,4,6],[5],[7]]=>[5,1,1] [[1,3,5],[2,4],[6],[7]]=>[[1,2,4,6],[3,5],[7]]=>[4,2,1] [[1,2,5],[3,4],[6],[7]]=>[[1,2,3,4],[5,6],[7]]=>[4,2,1] [[1,3,4],[2,5],[6],[7]]=>[[1,2,4,5],[3,6],[7]]=>[4,2,1] [[1,2,4],[3,5],[6],[7]]=>[[1,2,3,5],[4,6],[7]]=>[4,2,1] [[1,2,3],[4,5],[6],[7]]=>[[1,2,3,4,5],[6],[7]]=>[5,1,1] [[1,6,7],[2],[3],[4],[5]]=>[[1,2,7],[3],[4],[5],[6]]=>[3,1,1,1,1] [[1,5,7],[2],[3],[4],[6]]=>[[1,2,6],[3],[4],[5],[7]]=>[3,1,1,1,1] [[1,4,7],[2],[3],[5],[6]]=>[[1,2,5],[3],[4],[6],[7]]=>[3,1,1,1,1] [[1,3,7],[2],[4],[5],[6]]=>[[1,2,4],[3],[5],[6],[7]]=>[3,1,1,1,1] [[1,2,7],[3],[4],[5],[6]]=>[[1,2,3],[4],[5],[6],[7]]=>[3,1,1,1,1] [[1,5,6],[2],[3],[4],[7]]=>[[1,2,6,7],[3],[4],[5]]=>[4,1,1,1] [[1,4,6],[2],[3],[5],[7]]=>[[1,2,5,7],[3],[4],[6]]=>[4,1,1,1] [[1,3,6],[2],[4],[5],[7]]=>[[1,2,4,7],[3],[5],[6]]=>[4,1,1,1] [[1,2,6],[3],[4],[5],[7]]=>[[1,2,3,7],[4],[5],[6]]=>[4,1,1,1] [[1,4,5],[2],[3],[6],[7]]=>[[1,2,5,6],[3],[4],[7]]=>[4,1,1,1] [[1,3,5],[2],[4],[6],[7]]=>[[1,2,4,6],[3],[5],[7]]=>[4,1,1,1] [[1,2,5],[3],[4],[6],[7]]=>[[1,2,3,6],[4],[5],[7]]=>[4,1,1,1] [[1,3,4],[2],[5],[6],[7]]=>[[1,2,4,5],[3],[6],[7]]=>[4,1,1,1] [[1,2,4],[3],[5],[6],[7]]=>[[1,2,3,5],[4],[6],[7]]=>[4,1,1,1] [[1,2,3],[4],[5],[6],[7]]=>[[1,2,3,4],[5],[6],[7]]=>[4,1,1,1] [[1,5],[2,6],[3,7],[4]]=>[[1,2,6],[3,7],[4],[5]]=>[3,2,1,1] [[1,4],[2,6],[3,7],[5]]=>[[1,2,5,6],[3,7],[4]]=>[4,2,1] [[1,3],[2,6],[4,7],[5]]=>[[1,2,4,6],[3,7],[5]]=>[4,2,1] [[1,2],[3,6],[4,7],[5]]=>[[1,2,3,6],[4,7],[5]]=>[4,2,1] [[1,4],[2,5],[3,7],[6]]=>[[1,2,5,7],[3,6],[4]]=>[4,2,1] [[1,3],[2,5],[4,7],[6]]=>[[1,2,4,5],[3,7],[6]]=>[4,2,1] [[1,2],[3,5],[4,7],[6]]=>[[1,2,3,5],[4,7],[6]]=>[4,2,1] [[1,3],[2,4],[5,7],[6]]=>[[1,2,4,7],[3,5],[6]]=>[4,2,1] [[1,2],[3,4],[5,7],[6]]=>[[1,2,3,4],[5,7],[6]]=>[4,2,1] [[1,4],[2,5],[3,6],[7]]=>[[1,2,5],[3,6],[4,7]]=>[3,2,2] [[1,3],[2,5],[4,6],[7]]=>[[1,2,4,5],[3,6],[7]]=>[4,2,1] [[1,2],[3,5],[4,6],[7]]=>[[1,2,3,5],[4,6],[7]]=>[4,2,1] [[1,3],[2,4],[5,6],[7]]=>[[1,2,4,6],[3,5],[7]]=>[4,2,1] [[1,2],[3,4],[5,6],[7]]=>[[1,2,3,4],[5,6],[7]]=>[4,2,1] [[1,6],[2,7],[3],[4],[5]]=>[[1,2,7],[3],[4],[5],[6]]=>[3,1,1,1,1] [[1,5],[2,7],[3],[4],[6]]=>[[1,2,6,7],[3],[4],[5]]=>[4,1,1,1] [[1,4],[2,7],[3],[5],[6]]=>[[1,2,5,7],[3],[4],[6]]=>[4,1,1,1] [[1,3],[2,7],[4],[5],[6]]=>[[1,2,4,7],[3],[5],[6]]=>[4,1,1,1] [[1,2],[3,7],[4],[5],[6]]=>[[1,2,3,7],[4],[5],[6]]=>[4,1,1,1] [[1,5],[2,6],[3],[4],[7]]=>[[1,2,6],[3,7],[4],[5]]=>[3,2,1,1] [[1,4],[2,6],[3],[5],[7]]=>[[1,2,5,6],[3],[4],[7]]=>[4,1,1,1] [[1,3],[2,6],[4],[5],[7]]=>[[1,2,4,6],[3],[5],[7]]=>[4,1,1,1] [[1,2],[3,6],[4],[5],[7]]=>[[1,2,3,6],[4],[5],[7]]=>[4,1,1,1] [[1,4],[2,5],[3],[6],[7]]=>[[1,2,5],[3,6],[4],[7]]=>[3,2,1,1] [[1,3],[2,5],[4],[6],[7]]=>[[1,2,4,5],[3],[6],[7]]=>[4,1,1,1] [[1,2],[3,5],[4],[6],[7]]=>[[1,2,3,5],[4],[6],[7]]=>[4,1,1,1] [[1,3],[2,4],[5],[6],[7]]=>[[1,2,4],[3,5],[6],[7]]=>[3,2,1,1] [[1,2],[3,4],[5],[6],[7]]=>[[1,2,3,4],[5],[6],[7]]=>[4,1,1,1] [[1,7],[2],[3],[4],[5],[6]]=>[[1,2],[3],[4],[5],[6],[7]]=>[2,1,1,1,1,1] [[1,6],[2],[3],[4],[5],[7]]=>[[1,2,7],[3],[4],[5],[6]]=>[3,1,1,1,1] [[1,5],[2],[3],[4],[6],[7]]=>[[1,2,6],[3],[4],[5],[7]]=>[3,1,1,1,1] [[1,4],[2],[3],[5],[6],[7]]=>[[1,2,5],[3],[4],[6],[7]]=>[3,1,1,1,1] [[1,3],[2],[4],[5],[6],[7]]=>[[1,2,4],[3],[5],[6],[7]]=>[3,1,1,1,1] [[1,2],[3],[4],[5],[6],[7]]=>[[1,2,3],[4],[5],[6],[7]]=>[3,1,1,1,1] [[1],[2],[3],[4],[5],[6],[7]]=>[[1,2],[3],[4],[5],[6],[7]]=>[2,1,1,1,1,1] [[1,2,3,4,5,6,7,8]]=>[[1,2,3,4,5,6,7,8]]=>[8] [[1,3,4,5,6,7,8],[2]]=>[[1,2,4,5,6,7,8],[3]]=>[7,1] [[1,2,4,5,6,7,8],[3]]=>[[1,2,3,5,6,7,8],[4]]=>[7,1] [[1,2,3,5,6,7,8],[4]]=>[[1,2,3,4,6,7,8],[5]]=>[7,1] [[1,2,3,4,6,7,8],[5]]=>[[1,2,3,4,5,7,8],[6]]=>[7,1] [[1,2,3,4,5,7,8],[6]]=>[[1,2,3,4,5,6,8],[7]]=>[7,1] [[1,2,3,4,5,6,8],[7]]=>[[1,2,3,4,5,6,7],[8]]=>[7,1] [[1,2,3,4,5,6,7],[8]]=>[[1,2,3,4,5,6,7,8]]=>[8] [[1,3,5,6,7,8],[2,4]]=>[[1,2,4,6,7,8],[3,5]]=>[6,2] [[1,2,5,6,7,8],[3,4]]=>[[1,2,3,4,7,8],[5,6]]=>[6,2] [[1,3,4,6,7,8],[2,5]]=>[[1,2,4,5,7,8],[3,6]]=>[6,2] [[1,2,4,6,7,8],[3,5]]=>[[1,2,3,5,7,8],[4,6]]=>[6,2] [[1,2,3,6,7,8],[4,5]]=>[[1,2,3,4,5,8],[6,7]]=>[6,2] [[1,3,4,5,7,8],[2,6]]=>[[1,2,4,5,6,8],[3,7]]=>[6,2] [[1,2,4,5,7,8],[3,6]]=>[[1,2,3,5,6,8],[4,7]]=>[6,2] [[1,2,3,5,7,8],[4,6]]=>[[1,2,3,4,6,8],[5,7]]=>[6,2] [[1,2,3,4,7,8],[5,6]]=>[[1,2,3,4,5,6],[7,8]]=>[6,2] [[1,3,4,5,6,8],[2,7]]=>[[1,2,4,5,6,7],[3,8]]=>[6,2] [[1,2,4,5,6,8],[3,7]]=>[[1,2,3,5,6,7],[4,8]]=>[6,2] [[1,2,3,5,6,8],[4,7]]=>[[1,2,3,4,6,7],[5,8]]=>[6,2] [[1,2,3,4,6,8],[5,7]]=>[[1,2,3,4,5,7],[6,8]]=>[6,2] [[1,2,3,4,5,8],[6,7]]=>[[1,2,3,4,5,6,7],[8]]=>[7,1] [[1,3,4,5,6,7],[2,8]]=>[[1,2,4,5,6,7,8],[3]]=>[7,1] [[1,2,4,5,6,7],[3,8]]=>[[1,2,3,5,6,7,8],[4]]=>[7,1] [[1,2,3,5,6,7],[4,8]]=>[[1,2,3,4,6,7,8],[5]]=>[7,1] [[1,2,3,4,6,7],[5,8]]=>[[1,2,3,4,5,7,8],[6]]=>[7,1] [[1,2,3,4,5,7],[6,8]]=>[[1,2,3,4,5,6,8],[7]]=>[7,1] [[1,2,3,4,5,6],[7,8]]=>[[1,2,3,4,5,6,7,8]]=>[8] [[1,4,5,6,7,8],[2],[3]]=>[[1,2,5,6,7,8],[3],[4]]=>[6,1,1] [[1,3,5,6,7,8],[2],[4]]=>[[1,2,4,6,7,8],[3],[5]]=>[6,1,1] [[1,2,5,6,7,8],[3],[4]]=>[[1,2,3,6,7,8],[4],[5]]=>[6,1,1] [[1,3,4,6,7,8],[2],[5]]=>[[1,2,4,5,7,8],[3],[6]]=>[6,1,1] [[1,2,4,6,7,8],[3],[5]]=>[[1,2,3,5,7,8],[4],[6]]=>[6,1,1] [[1,2,3,6,7,8],[4],[5]]=>[[1,2,3,4,7,8],[5],[6]]=>[6,1,1] [[1,3,4,5,7,8],[2],[6]]=>[[1,2,4,5,6,8],[3],[7]]=>[6,1,1] [[1,2,4,5,7,8],[3],[6]]=>[[1,2,3,5,6,8],[4],[7]]=>[6,1,1] [[1,2,3,5,7,8],[4],[6]]=>[[1,2,3,4,6,8],[5],[7]]=>[6,1,1] [[1,2,3,4,7,8],[5],[6]]=>[[1,2,3,4,5,8],[6],[7]]=>[6,1,1] [[1,3,4,5,6,8],[2],[7]]=>[[1,2,4,5,6,7],[3],[8]]=>[6,1,1] [[1,2,4,5,6,8],[3],[7]]=>[[1,2,3,5,6,7],[4],[8]]=>[6,1,1] [[1,2,3,5,6,8],[4],[7]]=>[[1,2,3,4,6,7],[5],[8]]=>[6,1,1] [[1,2,3,4,6,8],[5],[7]]=>[[1,2,3,4,5,7],[6],[8]]=>[6,1,1] [[1,2,3,4,5,8],[6],[7]]=>[[1,2,3,4,5,6],[7],[8]]=>[6,1,1] [[1,3,4,5,6,7],[2],[8]]=>[[1,2,4,5,6,7,8],[3]]=>[7,1] [[1,2,4,5,6,7],[3],[8]]=>[[1,2,3,5,6,7,8],[4]]=>[7,1] [[1,2,3,5,6,7],[4],[8]]=>[[1,2,3,4,6,7,8],[5]]=>[7,1] [[1,2,3,4,6,7],[5],[8]]=>[[1,2,3,4,5,7,8],[6]]=>[7,1] [[1,2,3,4,5,7],[6],[8]]=>[[1,2,3,4,5,6,8],[7]]=>[7,1] [[1,2,3,4,5,6],[7],[8]]=>[[1,2,3,4,5,6,7],[8]]=>[7,1] [[1,3,5,7,8],[2,4,6]]=>[[1,2,4,6,8],[3,5,7]]=>[5,3] [[1,2,5,7,8],[3,4,6]]=>[[1,2,3,4,6],[5,7,8]]=>[5,3] [[1,3,4,7,8],[2,5,6]]=>[[1,2,4,5,6],[3,7,8]]=>[5,3] [[1,2,4,7,8],[3,5,6]]=>[[1,2,3,5,6],[4,7,8]]=>[5,3] [[1,2,3,7,8],[4,5,6]]=>[[1,2,3,4,5,6],[7,8]]=>[6,2] [[1,3,5,6,8],[2,4,7]]=>[[1,2,4,6,7],[3,5,8]]=>[5,3] [[1,2,5,6,8],[3,4,7]]=>[[1,2,3,4,7],[5,6,8]]=>[5,3] [[1,3,4,6,8],[2,5,7]]=>[[1,2,4,5,7],[3,6,8]]=>[5,3] [[1,2,4,6,8],[3,5,7]]=>[[1,2,3,5,7],[4,6,8]]=>[5,3] [[1,2,3,6,8],[4,5,7]]=>[[1,2,3,4,5,7],[6,8]]=>[6,2] [[1,3,4,5,8],[2,6,7]]=>[[1,2,4,5,6,7],[3,8]]=>[6,2] [[1,2,4,5,8],[3,6,7]]=>[[1,2,3,5,6,7],[4,8]]=>[6,2] [[1,2,3,5,8],[4,6,7]]=>[[1,2,3,4,6,7],[5,8]]=>[6,2] [[1,2,3,4,8],[5,6,7]]=>[[1,2,3,4,5,6,7],[8]]=>[7,1] [[1,3,5,6,7],[2,4,8]]=>[[1,2,4,6,7,8],[3,5]]=>[6,2] [[1,2,5,6,7],[3,4,8]]=>[[1,2,3,4,7,8],[5,6]]=>[6,2] [[1,3,4,6,7],[2,5,8]]=>[[1,2,4,5,7,8],[3,6]]=>[6,2] [[1,2,4,6,7],[3,5,8]]=>[[1,2,3,5,7,8],[4,6]]=>[6,2] [[1,2,3,6,7],[4,5,8]]=>[[1,2,3,4,5,8],[6,7]]=>[6,2] [[1,3,4,5,7],[2,6,8]]=>[[1,2,4,5,6,8],[3,7]]=>[6,2] [[1,2,4,5,7],[3,6,8]]=>[[1,2,3,5,6,8],[4,7]]=>[6,2] [[1,2,3,5,7],[4,6,8]]=>[[1,2,3,4,6,8],[5,7]]=>[6,2] [[1,2,3,4,7],[5,6,8]]=>[[1,2,3,4,5,6,8],[7]]=>[7,1] [[1,3,4,5,6],[2,7,8]]=>[[1,2,4,5,6,7,8],[3]]=>[7,1] [[1,2,4,5,6],[3,7,8]]=>[[1,2,3,5,6,7,8],[4]]=>[7,1] [[1,2,3,5,6],[4,7,8]]=>[[1,2,3,4,6,7,8],[5]]=>[7,1] [[1,2,3,4,6],[5,7,8]]=>[[1,2,3,4,5,7,8],[6]]=>[7,1] [[1,2,3,4,5],[6,7,8]]=>[[1,2,3,4,5,6,7,8]]=>[8] [[1,4,6,7,8],[2,5],[3]]=>[[1,2,5,7,8],[3,6],[4]]=>[5,2,1] [[1,3,6,7,8],[2,5],[4]]=>[[1,2,4,5,8],[3,7],[6]]=>[5,2,1] [[1,2,6,7,8],[3,5],[4]]=>[[1,2,3,5,8],[4,7],[6]]=>[5,2,1] [[1,3,6,7,8],[2,4],[5]]=>[[1,2,4,7,8],[3,5],[6]]=>[5,2,1] [[1,2,6,7,8],[3,4],[5]]=>[[1,2,3,4,8],[5,7],[6]]=>[5,2,1] [[1,4,5,7,8],[2,6],[3]]=>[[1,2,5,6,8],[3,7],[4]]=>[5,2,1] [[1,3,5,7,8],[2,6],[4]]=>[[1,2,4,6,8],[3,7],[5]]=>[5,2,1] [[1,2,5,7,8],[3,6],[4]]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1] [[1,3,4,7,8],[2,6],[5]]=>[[1,2,4,5,6],[3,8],[7]]=>[5,2,1] [[1,2,4,7,8],[3,6],[5]]=>[[1,2,3,5,6],[4,8],[7]]=>[5,2,1] [[1,2,3,7,8],[4,6],[5]]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1] [[1,3,5,7,8],[2,4],[6]]=>[[1,2,4,6,8],[3,5],[7]]=>[5,2,1] [[1,2,5,7,8],[3,4],[6]]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1] [[1,3,4,7,8],[2,5],[6]]=>[[1,2,4,5,8],[3,6],[7]]=>[5,2,1] [[1,2,4,7,8],[3,5],[6]]=>[[1,2,3,5,8],[4,6],[7]]=>[5,2,1] [[1,2,3,7,8],[4,5],[6]]=>[[1,2,3,4,5],[6,8],[7]]=>[5,2,1] [[1,4,5,6,8],[2,7],[3]]=>[[1,2,5,6,7],[3,8],[4]]=>[5,2,1] [[1,3,5,6,8],[2,7],[4]]=>[[1,2,4,6,7],[3,8],[5]]=>[5,2,1] [[1,2,5,6,8],[3,7],[4]]=>[[1,2,3,6,7],[4,8],[5]]=>[5,2,1] [[1,3,4,6,8],[2,7],[5]]=>[[1,2,4,5,7],[3,8],[6]]=>[5,2,1] [[1,2,4,6,8],[3,7],[5]]=>[[1,2,3,5,7],[4,8],[6]]=>[5,2,1] [[1,2,3,6,8],[4,7],[5]]=>[[1,2,3,4,7],[5,8],[6]]=>[5,2,1] [[1,3,4,5,8],[2,7],[6]]=>[[1,2,4,5,6,7],[3],[8]]=>[6,1,1] [[1,2,4,5,8],[3,7],[6]]=>[[1,2,3,5,6,7],[4],[8]]=>[6,1,1] [[1,2,3,5,8],[4,7],[6]]=>[[1,2,3,4,6,7],[5],[8]]=>[6,1,1] [[1,2,3,4,8],[5,7],[6]]=>[[1,2,3,4,5,7],[6],[8]]=>[6,1,1] [[1,3,5,6,8],[2,4],[7]]=>[[1,2,4,6,7],[3,5],[8]]=>[5,2,1] [[1,2,5,6,8],[3,4],[7]]=>[[1,2,3,4,7],[5,6],[8]]=>[5,2,1] [[1,3,4,6,8],[2,5],[7]]=>[[1,2,4,5,7],[3,6],[8]]=>[5,2,1] [[1,2,4,6,8],[3,5],[7]]=>[[1,2,3,5,7],[4,6],[8]]=>[5,2,1] [[1,2,3,6,8],[4,5],[7]]=>[[1,2,3,4,5],[6,7],[8]]=>[5,2,1] [[1,3,4,5,8],[2,6],[7]]=>[[1,2,4,5,6],[3,7],[8]]=>[5,2,1] [[1,2,4,5,8],[3,6],[7]]=>[[1,2,3,5,6],[4,7],[8]]=>[5,2,1] [[1,2,3,5,8],[4,6],[7]]=>[[1,2,3,4,6],[5,7],[8]]=>[5,2,1] [[1,2,3,4,8],[5,6],[7]]=>[[1,2,3,4,5,6],[7],[8]]=>[6,1,1] [[1,4,5,6,7],[2,8],[3]]=>[[1,2,5,6,7,8],[3],[4]]=>[6,1,1] [[1,3,5,6,7],[2,8],[4]]=>[[1,2,4,6,7,8],[3],[5]]=>[6,1,1] [[1,2,5,6,7],[3,8],[4]]=>[[1,2,3,6,7,8],[4],[5]]=>[6,1,1] [[1,3,4,6,7],[2,8],[5]]=>[[1,2,4,5,7,8],[3],[6]]=>[6,1,1] [[1,2,4,6,7],[3,8],[5]]=>[[1,2,3,5,7,8],[4],[6]]=>[6,1,1] [[1,2,3,6,7],[4,8],[5]]=>[[1,2,3,4,7,8],[5],[6]]=>[6,1,1] [[1,3,4,5,7],[2,8],[6]]=>[[1,2,4,5,6,8],[3],[7]]=>[6,1,1] [[1,2,4,5,7],[3,8],[6]]=>[[1,2,3,5,6,8],[4],[7]]=>[6,1,1] [[1,2,3,5,7],[4,8],[6]]=>[[1,2,3,4,6,8],[5],[7]]=>[6,1,1] [[1,2,3,4,7],[5,8],[6]]=>[[1,2,3,4,5,8],[6],[7]]=>[6,1,1] [[1,3,4,5,6],[2,8],[7]]=>[[1,2,4,5,6,7,8],[3]]=>[7,1] [[1,2,4,5,6],[3,8],[7]]=>[[1,2,3,5,6,7,8],[4]]=>[7,1] [[1,2,3,5,6],[4,8],[7]]=>[[1,2,3,4,6,7,8],[5]]=>[7,1] [[1,2,3,4,6],[5,8],[7]]=>[[1,2,3,4,5,7,8],[6]]=>[7,1] [[1,2,3,4,5],[6,8],[7]]=>[[1,2,3,4,5,6,8],[7]]=>[7,1] [[1,3,5,6,7],[2,4],[8]]=>[[1,2,4,6,7,8],[3,5]]=>[6,2] [[1,2,5,6,7],[3,4],[8]]=>[[1,2,3,4,7,8],[5,6]]=>[6,2] [[1,3,4,6,7],[2,5],[8]]=>[[1,2,4,5,7,8],[3,6]]=>[6,2] [[1,2,4,6,7],[3,5],[8]]=>[[1,2,3,5,7,8],[4,6]]=>[6,2] [[1,2,3,6,7],[4,5],[8]]=>[[1,2,3,4,5,8],[6,7]]=>[6,2] [[1,3,4,5,7],[2,6],[8]]=>[[1,2,4,5,6,8],[3,7]]=>[6,2] [[1,2,4,5,7],[3,6],[8]]=>[[1,2,3,5,6,8],[4,7]]=>[6,2] [[1,2,3,5,7],[4,6],[8]]=>[[1,2,3,4,6,8],[5,7]]=>[6,2] [[1,2,3,4,7],[5,6],[8]]=>[[1,2,3,4,5,6],[7,8]]=>[6,2] [[1,3,4,5,6],[2,7],[8]]=>[[1,2,4,5,6,7],[3,8]]=>[6,2] [[1,2,4,5,6],[3,7],[8]]=>[[1,2,3,5,6,7],[4,8]]=>[6,2] [[1,2,3,5,6],[4,7],[8]]=>[[1,2,3,4,6,7],[5,8]]=>[6,2] [[1,2,3,4,6],[5,7],[8]]=>[[1,2,3,4,5,7],[6,8]]=>[6,2] [[1,2,3,4,5],[6,7],[8]]=>[[1,2,3,4,5,6,7],[8]]=>[7,1] [[1,5,6,7,8],[2],[3],[4]]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,1,1,1] [[1,4,6,7,8],[2],[3],[5]]=>[[1,2,5,7,8],[3],[4],[6]]=>[5,1,1,1] [[1,3,6,7,8],[2],[4],[5]]=>[[1,2,4,7,8],[3],[5],[6]]=>[5,1,1,1] [[1,2,6,7,8],[3],[4],[5]]=>[[1,2,3,7,8],[4],[5],[6]]=>[5,1,1,1] [[1,4,5,7,8],[2],[3],[6]]=>[[1,2,5,6,8],[3],[4],[7]]=>[5,1,1,1] [[1,3,5,7,8],[2],[4],[6]]=>[[1,2,4,6,8],[3],[5],[7]]=>[5,1,1,1] [[1,2,5,7,8],[3],[4],[6]]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,1,1,1] [[1,3,4,7,8],[2],[5],[6]]=>[[1,2,4,5,8],[3],[6],[7]]=>[5,1,1,1] [[1,2,4,7,8],[3],[5],[6]]=>[[1,2,3,5,8],[4],[6],[7]]=>[5,1,1,1] [[1,2,3,7,8],[4],[5],[6]]=>[[1,2,3,4,8],[5],[6],[7]]=>[5,1,1,1] [[1,4,5,6,8],[2],[3],[7]]=>[[1,2,5,6,7],[3],[4],[8]]=>[5,1,1,1] [[1,3,5,6,8],[2],[4],[7]]=>[[1,2,4,6,7],[3],[5],[8]]=>[5,1,1,1] [[1,2,5,6,8],[3],[4],[7]]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,1,1,1] [[1,3,4,6,8],[2],[5],[7]]=>[[1,2,4,5,7],[3],[6],[8]]=>[5,1,1,1] [[1,2,4,6,8],[3],[5],[7]]=>[[1,2,3,5,7],[4],[6],[8]]=>[5,1,1,1] [[1,2,3,6,8],[4],[5],[7]]=>[[1,2,3,4,7],[5],[6],[8]]=>[5,1,1,1] [[1,3,4,5,8],[2],[6],[7]]=>[[1,2,4,5,6],[3],[7],[8]]=>[5,1,1,1] [[1,2,4,5,8],[3],[6],[7]]=>[[1,2,3,5,6],[4],[7],[8]]=>[5,1,1,1] [[1,2,3,5,8],[4],[6],[7]]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,1,1,1] [[1,2,3,4,8],[5],[6],[7]]=>[[1,2,3,4,5],[6],[7],[8]]=>[5,1,1,1] [[1,4,5,6,7],[2],[3],[8]]=>[[1,2,5,6,7,8],[3],[4]]=>[6,1,1] [[1,3,5,6,7],[2],[4],[8]]=>[[1,2,4,6,7,8],[3],[5]]=>[6,1,1] [[1,2,5,6,7],[3],[4],[8]]=>[[1,2,3,6,7,8],[4],[5]]=>[6,1,1] [[1,3,4,6,7],[2],[5],[8]]=>[[1,2,4,5,7,8],[3],[6]]=>[6,1,1] [[1,2,4,6,7],[3],[5],[8]]=>[[1,2,3,5,7,8],[4],[6]]=>[6,1,1] [[1,2,3,6,7],[4],[5],[8]]=>[[1,2,3,4,7,8],[5],[6]]=>[6,1,1] [[1,3,4,5,7],[2],[6],[8]]=>[[1,2,4,5,6,8],[3],[7]]=>[6,1,1] [[1,2,4,5,7],[3],[6],[8]]=>[[1,2,3,5,6,8],[4],[7]]=>[6,1,1] [[1,2,3,5,7],[4],[6],[8]]=>[[1,2,3,4,6,8],[5],[7]]=>[6,1,1] [[1,2,3,4,7],[5],[6],[8]]=>[[1,2,3,4,5,8],[6],[7]]=>[6,1,1] [[1,3,4,5,6],[2],[7],[8]]=>[[1,2,4,5,6,7],[3],[8]]=>[6,1,1] [[1,2,4,5,6],[3],[7],[8]]=>[[1,2,3,5,6,7],[4],[8]]=>[6,1,1] [[1,2,3,5,6],[4],[7],[8]]=>[[1,2,3,4,6,7],[5],[8]]=>[6,1,1] [[1,2,3,4,6],[5],[7],[8]]=>[[1,2,3,4,5,7],[6],[8]]=>[6,1,1] [[1,2,3,4,5],[6],[7],[8]]=>[[1,2,3,4,5,6],[7],[8]]=>[6,1,1] [[1,3,5,7],[2,4,6,8]]=>[[1,2,4,6,8],[3,5,7]]=>[5,3] [[1,2,5,7],[3,4,6,8]]=>[[1,2,3,4,6,8],[5,7]]=>[6,2] [[1,3,4,7],[2,5,6,8]]=>[[1,2,4,5,6,8],[3,7]]=>[6,2] [[1,2,4,7],[3,5,6,8]]=>[[1,2,3,5,6,8],[4,7]]=>[6,2] [[1,2,3,7],[4,5,6,8]]=>[[1,2,3,4,5,6,8],[7]]=>[7,1] [[1,3,5,6],[2,4,7,8]]=>[[1,2,4,6,7,8],[3,5]]=>[6,2] [[1,2,5,6],[3,4,7,8]]=>[[1,2,3,4,7,8],[5,6]]=>[6,2] [[1,3,4,6],[2,5,7,8]]=>[[1,2,4,5,7,8],[3,6]]=>[6,2] [[1,2,4,6],[3,5,7,8]]=>[[1,2,3,5,7,8],[4,6]]=>[6,2] [[1,2,3,6],[4,5,7,8]]=>[[1,2,3,4,5,7,8],[6]]=>[7,1] [[1,3,4,5],[2,6,7,8]]=>[[1,2,4,5,6,7,8],[3]]=>[7,1] [[1,2,4,5],[3,6,7,8]]=>[[1,2,3,5,6,7,8],[4]]=>[7,1] [[1,2,3,5],[4,6,7,8]]=>[[1,2,3,4,6,7,8],[5]]=>[7,1] [[1,2,3,4],[5,6,7,8]]=>[[1,2,3,4,5,6,7,8]]=>[8] [[1,4,6,8],[2,5,7],[3]]=>[[1,2,5,7],[3,6,8],[4]]=>[4,3,1] [[1,3,6,8],[2,5,7],[4]]=>[[1,2,4,5,7],[3,8],[6]]=>[5,2,1] [[1,2,6,8],[3,5,7],[4]]=>[[1,2,3,5,7],[4,8],[6]]=>[5,2,1] [[1,3,6,8],[2,4,7],[5]]=>[[1,2,4,7],[3,5,8],[6]]=>[4,3,1] [[1,2,6,8],[3,4,7],[5]]=>[[1,2,3,4,7],[5,8],[6]]=>[5,2,1] [[1,4,5,8],[2,6,7],[3]]=>[[1,2,5,6,7],[3,8],[4]]=>[5,2,1] [[1,3,5,8],[2,6,7],[4]]=>[[1,2,4,6,7],[3,8],[5]]=>[5,2,1] [[1,2,5,8],[3,6,7],[4]]=>[[1,2,3,6,7],[4,8],[5]]=>[5,2,1] [[1,3,4,8],[2,6,7],[5]]=>[[1,2,4,5,6,7],[3],[8]]=>[6,1,1] [[1,2,4,8],[3,6,7],[5]]=>[[1,2,3,5,6,7],[4],[8]]=>[6,1,1] [[1,2,3,8],[4,6,7],[5]]=>[[1,2,3,4,6,7],[5],[8]]=>[6,1,1] [[1,3,5,8],[2,4,7],[6]]=>[[1,2,4,6,7],[3,5],[8]]=>[5,2,1] [[1,2,5,8],[3,4,7],[6]]=>[[1,2,3,4,7],[5,6],[8]]=>[5,2,1] [[1,3,4,8],[2,5,7],[6]]=>[[1,2,4,5,7],[3,6],[8]]=>[5,2,1] [[1,2,4,8],[3,5,7],[6]]=>[[1,2,3,5,7],[4,6],[8]]=>[5,2,1] [[1,2,3,8],[4,5,7],[6]]=>[[1,2,3,4,5,7],[6],[8]]=>[6,1,1] [[1,3,5,8],[2,4,6],[7]]=>[[1,2,4,6],[3,5,7],[8]]=>[4,3,1] [[1,2,5,8],[3,4,6],[7]]=>[[1,2,3,4,6],[5,7],[8]]=>[5,2,1] [[1,3,4,8],[2,5,6],[7]]=>[[1,2,4,5,6],[3,7],[8]]=>[5,2,1] [[1,2,4,8],[3,5,6],[7]]=>[[1,2,3,5,6],[4,7],[8]]=>[5,2,1] [[1,2,3,8],[4,5,6],[7]]=>[[1,2,3,4,5,6],[7],[8]]=>[6,1,1] [[1,4,6,7],[2,5,8],[3]]=>[[1,2,5,7,8],[3,6],[4]]=>[5,2,1] [[1,3,6,7],[2,5,8],[4]]=>[[1,2,4,5,8],[3,7],[6]]=>[5,2,1] [[1,2,6,7],[3,5,8],[4]]=>[[1,2,3,5,8],[4,7],[6]]=>[5,2,1] [[1,3,6,7],[2,4,8],[5]]=>[[1,2,4,7,8],[3,5],[6]]=>[5,2,1] [[1,2,6,7],[3,4,8],[5]]=>[[1,2,3,4,8],[5,7],[6]]=>[5,2,1] [[1,4,5,7],[2,6,8],[3]]=>[[1,2,5,6,8],[3,7],[4]]=>[5,2,1] [[1,3,5,7],[2,6,8],[4]]=>[[1,2,4,6,8],[3,7],[5]]=>[5,2,1] [[1,2,5,7],[3,6,8],[4]]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1] [[1,3,4,7],[2,6,8],[5]]=>[[1,2,4,5,6,8],[3],[7]]=>[6,1,1] [[1,2,4,7],[3,6,8],[5]]=>[[1,2,3,5,6,8],[4],[7]]=>[6,1,1] [[1,2,3,7],[4,6,8],[5]]=>[[1,2,3,4,6,8],[5],[7]]=>[6,1,1] [[1,3,5,7],[2,4,8],[6]]=>[[1,2,4,6,8],[3,5],[7]]=>[5,2,1] [[1,2,5,7],[3,4,8],[6]]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1] [[1,3,4,7],[2,5,8],[6]]=>[[1,2,4,5,8],[3,6],[7]]=>[5,2,1] [[1,2,4,7],[3,5,8],[6]]=>[[1,2,3,5,8],[4,6],[7]]=>[5,2,1] [[1,2,3,7],[4,5,8],[6]]=>[[1,2,3,4,5,8],[6],[7]]=>[6,1,1] [[1,4,5,6],[2,7,8],[3]]=>[[1,2,5,6,7,8],[3],[4]]=>[6,1,1] [[1,3,5,6],[2,7,8],[4]]=>[[1,2,4,6,7,8],[3],[5]]=>[6,1,1] [[1,2,5,6],[3,7,8],[4]]=>[[1,2,3,6,7,8],[4],[5]]=>[6,1,1] [[1,3,4,6],[2,7,8],[5]]=>[[1,2,4,5,7,8],[3],[6]]=>[6,1,1] [[1,2,4,6],[3,7,8],[5]]=>[[1,2,3,5,7,8],[4],[6]]=>[6,1,1] [[1,2,3,6],[4,7,8],[5]]=>[[1,2,3,4,7,8],[5],[6]]=>[6,1,1] [[1,3,4,5],[2,7,8],[6]]=>[[1,2,4,5,6,7,8],[3]]=>[7,1] [[1,2,4,5],[3,7,8],[6]]=>[[1,2,3,5,6,7,8],[4]]=>[7,1] [[1,2,3,5],[4,7,8],[6]]=>[[1,2,3,4,6,7,8],[5]]=>[7,1] [[1,2,3,4],[5,7,8],[6]]=>[[1,2,3,4,5,7,8],[6]]=>[7,1] [[1,3,5,6],[2,4,8],[7]]=>[[1,2,4,6,7,8],[3,5]]=>[6,2] [[1,2,5,6],[3,4,8],[7]]=>[[1,2,3,4,7,8],[5,6]]=>[6,2] [[1,3,4,6],[2,5,8],[7]]=>[[1,2,4,5,7,8],[3,6]]=>[6,2] [[1,2,4,6],[3,5,8],[7]]=>[[1,2,3,5,7,8],[4,6]]=>[6,2] [[1,2,3,6],[4,5,8],[7]]=>[[1,2,3,4,5,8],[6,7]]=>[6,2] [[1,3,4,5],[2,6,8],[7]]=>[[1,2,4,5,6,8],[3,7]]=>[6,2] [[1,2,4,5],[3,6,8],[7]]=>[[1,2,3,5,6,8],[4,7]]=>[6,2] [[1,2,3,5],[4,6,8],[7]]=>[[1,2,3,4,6,8],[5,7]]=>[6,2] [[1,2,3,4],[5,6,8],[7]]=>[[1,2,3,4,5,6,8],[7]]=>[7,1] [[1,3,5,7],[2,4,6],[8]]=>[[1,2,4,6,8],[3,5,7]]=>[5,3] [[1,2,5,7],[3,4,6],[8]]=>[[1,2,3,4,6],[5,7,8]]=>[5,3] [[1,3,4,7],[2,5,6],[8]]=>[[1,2,4,5,6],[3,7,8]]=>[5,3] [[1,2,4,7],[3,5,6],[8]]=>[[1,2,3,5,6],[4,7,8]]=>[5,3] [[1,2,3,7],[4,5,6],[8]]=>[[1,2,3,4,5,6],[7,8]]=>[6,2] [[1,3,5,6],[2,4,7],[8]]=>[[1,2,4,6,7],[3,5,8]]=>[5,3] [[1,2,5,6],[3,4,7],[8]]=>[[1,2,3,4,7],[5,6,8]]=>[5,3] [[1,3,4,6],[2,5,7],[8]]=>[[1,2,4,5,7],[3,6,8]]=>[5,3] [[1,2,4,6],[3,5,7],[8]]=>[[1,2,3,5,7],[4,6,8]]=>[5,3] [[1,2,3,6],[4,5,7],[8]]=>[[1,2,3,4,5,7],[6,8]]=>[6,2] [[1,3,4,5],[2,6,7],[8]]=>[[1,2,4,5,6,7],[3,8]]=>[6,2] [[1,2,4,5],[3,6,7],[8]]=>[[1,2,3,5,6,7],[4,8]]=>[6,2] [[1,2,3,5],[4,6,7],[8]]=>[[1,2,3,4,6,7],[5,8]]=>[6,2] [[1,2,3,4],[5,6,7],[8]]=>[[1,2,3,4,5,6,7],[8]]=>[7,1] [[1,4,7,8],[2,5],[3,6]]=>[[1,2,5,8],[3,6],[4,7]]=>[4,2,2] [[1,3,7,8],[2,5],[4,6]]=>[[1,2,4,5],[3,6],[7,8]]=>[4,2,2] [[1,2,7,8],[3,5],[4,6]]=>[[1,2,3,5],[4,6],[7,8]]=>[4,2,2] [[1,3,7,8],[2,4],[5,6]]=>[[1,2,4,6],[3,5],[7,8]]=>[4,2,2] [[1,2,7,8],[3,4],[5,6]]=>[[1,2,3,4],[5,6],[7,8]]=>[4,2,2] [[1,4,6,8],[2,5],[3,7]]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2] [[1,3,6,8],[2,5],[4,7]]=>[[1,2,4,5],[3,7],[6,8]]=>[4,2,2] [[1,2,6,8],[3,5],[4,7]]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2] [[1,3,6,8],[2,4],[5,7]]=>[[1,2,4,7],[3,5],[6,8]]=>[4,2,2] [[1,2,6,8],[3,4],[5,7]]=>[[1,2,3,4],[5,7],[6,8]]=>[4,2,2] [[1,4,5,8],[2,6],[3,7]]=>[[1,2,5,6],[3,7],[4,8]]=>[4,2,2] [[1,3,5,8],[2,6],[4,7]]=>[[1,2,4,6],[3,7],[5,8]]=>[4,2,2] [[1,2,5,8],[3,6],[4,7]]=>[[1,2,3,6],[4,7],[5,8]]=>[4,2,2] [[1,3,4,8],[2,6],[5,7]]=>[[1,2,4,5,6],[3,7],[8]]=>[5,2,1] [[1,2,4,8],[3,6],[5,7]]=>[[1,2,3,5,6],[4,7],[8]]=>[5,2,1] [[1,2,3,8],[4,6],[5,7]]=>[[1,2,3,4,6],[5,7],[8]]=>[5,2,1] [[1,3,5,8],[2,4],[6,7]]=>[[1,2,4,6,7],[3,5],[8]]=>[5,2,1] [[1,2,5,8],[3,4],[6,7]]=>[[1,2,3,4,7],[5,6],[8]]=>[5,2,1] [[1,3,4,8],[2,5],[6,7]]=>[[1,2,4,5,7],[3,6],[8]]=>[5,2,1] [[1,2,4,8],[3,5],[6,7]]=>[[1,2,3,5,7],[4,6],[8]]=>[5,2,1] [[1,2,3,8],[4,5],[6,7]]=>[[1,2,3,4,5],[6,7],[8]]=>[5,2,1] [[1,4,6,7],[2,5],[3,8]]=>[[1,2,5,7,8],[3,6],[4]]=>[5,2,1] [[1,3,6,7],[2,5],[4,8]]=>[[1,2,4,5,8],[3,7],[6]]=>[5,2,1] [[1,2,6,7],[3,5],[4,8]]=>[[1,2,3,5,8],[4,7],[6]]=>[5,2,1] [[1,3,6,7],[2,4],[5,8]]=>[[1,2,4,7,8],[3,5],[6]]=>[5,2,1] [[1,2,6,7],[3,4],[5,8]]=>[[1,2,3,4,8],[5,7],[6]]=>[5,2,1] [[1,4,5,7],[2,6],[3,8]]=>[[1,2,5,6,8],[3,7],[4]]=>[5,2,1] [[1,3,5,7],[2,6],[4,8]]=>[[1,2,4,6,8],[3,7],[5]]=>[5,2,1] [[1,2,5,7],[3,6],[4,8]]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1] [[1,3,4,7],[2,6],[5,8]]=>[[1,2,4,5,6],[3,8],[7]]=>[5,2,1] [[1,2,4,7],[3,6],[5,8]]=>[[1,2,3,5,6],[4,8],[7]]=>[5,2,1] [[1,2,3,7],[4,6],[5,8]]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1] [[1,3,5,7],[2,4],[6,8]]=>[[1,2,4,6,8],[3,5],[7]]=>[5,2,1] [[1,2,5,7],[3,4],[6,8]]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1] [[1,3,4,7],[2,5],[6,8]]=>[[1,2,4,5,8],[3,6],[7]]=>[5,2,1] [[1,2,4,7],[3,5],[6,8]]=>[[1,2,3,5,8],[4,6],[7]]=>[5,2,1] [[1,2,3,7],[4,5],[6,8]]=>[[1,2,3,4,5],[6,8],[7]]=>[5,2,1] [[1,4,5,6],[2,7],[3,8]]=>[[1,2,5,6,7],[3,8],[4]]=>[5,2,1] [[1,3,5,6],[2,7],[4,8]]=>[[1,2,4,6,7],[3,8],[5]]=>[5,2,1] [[1,2,5,6],[3,7],[4,8]]=>[[1,2,3,6,7],[4,8],[5]]=>[5,2,1] [[1,3,4,6],[2,7],[5,8]]=>[[1,2,4,5,7],[3,8],[6]]=>[5,2,1] [[1,2,4,6],[3,7],[5,8]]=>[[1,2,3,5,7],[4,8],[6]]=>[5,2,1] [[1,2,3,6],[4,7],[5,8]]=>[[1,2,3,4,7],[5,8],[6]]=>[5,2,1] [[1,3,4,5],[2,7],[6,8]]=>[[1,2,4,5,6,7],[3,8]]=>[6,2] [[1,2,4,5],[3,7],[6,8]]=>[[1,2,3,5,6,7],[4,8]]=>[6,2] [[1,2,3,5],[4,7],[6,8]]=>[[1,2,3,4,6,7],[5,8]]=>[6,2] [[1,2,3,4],[5,7],[6,8]]=>[[1,2,3,4,5,7],[6,8]]=>[6,2] [[1,3,5,6],[2,4],[7,8]]=>[[1,2,4,6,7,8],[3,5]]=>[6,2] [[1,2,5,6],[3,4],[7,8]]=>[[1,2,3,4,7,8],[5,6]]=>[6,2] [[1,3,4,6],[2,5],[7,8]]=>[[1,2,4,5,7,8],[3,6]]=>[6,2] [[1,2,4,6],[3,5],[7,8]]=>[[1,2,3,5,7,8],[4,6]]=>[6,2] [[1,2,3,6],[4,5],[7,8]]=>[[1,2,3,4,5,8],[6,7]]=>[6,2] [[1,3,4,5],[2,6],[7,8]]=>[[1,2,4,5,6,8],[3,7]]=>[6,2] [[1,2,4,5],[3,6],[7,8]]=>[[1,2,3,5,6,8],[4,7]]=>[6,2] [[1,2,3,5],[4,6],[7,8]]=>[[1,2,3,4,6,8],[5,7]]=>[6,2] [[1,2,3,4],[5,6],[7,8]]=>[[1,2,3,4,5,6],[7,8]]=>[6,2] [[1,5,7,8],[2,6],[3],[4]]=>[[1,2,6,8],[3,7],[4],[5]]=>[4,2,1,1] [[1,4,7,8],[2,6],[3],[5]]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,2,1,1] [[1,3,7,8],[2,6],[4],[5]]=>[[1,2,4,6],[3,8],[5],[7]]=>[4,2,1,1] [[1,2,7,8],[3,6],[4],[5]]=>[[1,2,3,6],[4,8],[5],[7]]=>[4,2,1,1] [[1,4,7,8],[2,5],[3],[6]]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,2,1,1] [[1,3,7,8],[2,5],[4],[6]]=>[[1,2,4,5],[3,8],[6],[7]]=>[4,2,1,1] [[1,2,7,8],[3,5],[4],[6]]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,2,1,1] [[1,3,7,8],[2,4],[5],[6]]=>[[1,2,4,8],[3,5],[6],[7]]=>[4,2,1,1] [[1,2,7,8],[3,4],[5],[6]]=>[[1,2,3,4],[5,8],[6],[7]]=>[4,2,1,1] [[1,5,6,8],[2,7],[3],[4]]=>[[1,2,6,7],[3,8],[4],[5]]=>[4,2,1,1] [[1,4,6,8],[2,7],[3],[5]]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,1,1] [[1,3,6,8],[2,7],[4],[5]]=>[[1,2,4,7],[3,8],[5],[6]]=>[4,2,1,1] [[1,2,6,8],[3,7],[4],[5]]=>[[1,2,3,7],[4,8],[5],[6]]=>[4,2,1,1] [[1,4,5,8],[2,7],[3],[6]]=>[[1,2,5,6,7],[3],[4],[8]]=>[5,1,1,1] [[1,3,5,8],[2,7],[4],[6]]=>[[1,2,4,6,7],[3],[5],[8]]=>[5,1,1,1] [[1,2,5,8],[3,7],[4],[6]]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,1,1,1] [[1,3,4,8],[2,7],[5],[6]]=>[[1,2,4,5,7],[3],[6],[8]]=>[5,1,1,1] [[1,2,4,8],[3,7],[5],[6]]=>[[1,2,3,5,7],[4],[6],[8]]=>[5,1,1,1] [[1,2,3,8],[4,7],[5],[6]]=>[[1,2,3,4,7],[5],[6],[8]]=>[5,1,1,1] [[1,4,6,8],[2,5],[3],[7]]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,1,1] [[1,3,6,8],[2,5],[4],[7]]=>[[1,2,4,5],[3,7],[6],[8]]=>[4,2,1,1] [[1,2,6,8],[3,5],[4],[7]]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,1,1] [[1,3,6,8],[2,4],[5],[7]]=>[[1,2,4,7],[3,5],[6],[8]]=>[4,2,1,1] [[1,2,6,8],[3,4],[5],[7]]=>[[1,2,3,4],[5,7],[6],[8]]=>[4,2,1,1] [[1,4,5,8],[2,6],[3],[7]]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,2,1,1] [[1,3,5,8],[2,6],[4],[7]]=>[[1,2,4,6],[3,7],[5],[8]]=>[4,2,1,1] [[1,2,5,8],[3,6],[4],[7]]=>[[1,2,3,6],[4,7],[5],[8]]=>[4,2,1,1] [[1,3,4,8],[2,6],[5],[7]]=>[[1,2,4,5,6],[3],[7],[8]]=>[5,1,1,1] [[1,2,4,8],[3,6],[5],[7]]=>[[1,2,3,5,6],[4],[7],[8]]=>[5,1,1,1] [[1,2,3,8],[4,6],[5],[7]]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,1,1,1] [[1,3,5,8],[2,4],[6],[7]]=>[[1,2,4,6],[3,5],[7],[8]]=>[4,2,1,1] [[1,2,5,8],[3,4],[6],[7]]=>[[1,2,3,4],[5,6],[7],[8]]=>[4,2,1,1] [[1,3,4,8],[2,5],[6],[7]]=>[[1,2,4,5],[3,6],[7],[8]]=>[4,2,1,1] [[1,2,4,8],[3,5],[6],[7]]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,2,1,1] [[1,2,3,8],[4,5],[6],[7]]=>[[1,2,3,4,5],[6],[7],[8]]=>[5,1,1,1] [[1,5,6,7],[2,8],[3],[4]]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,1,1,1] [[1,4,6,7],[2,8],[3],[5]]=>[[1,2,5,7,8],[3],[4],[6]]=>[5,1,1,1] [[1,3,6,7],[2,8],[4],[5]]=>[[1,2,4,7,8],[3],[5],[6]]=>[5,1,1,1] [[1,2,6,7],[3,8],[4],[5]]=>[[1,2,3,7,8],[4],[5],[6]]=>[5,1,1,1] [[1,4,5,7],[2,8],[3],[6]]=>[[1,2,5,6,8],[3],[4],[7]]=>[5,1,1,1] [[1,3,5,7],[2,8],[4],[6]]=>[[1,2,4,6,8],[3],[5],[7]]=>[5,1,1,1] [[1,2,5,7],[3,8],[4],[6]]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,1,1,1] [[1,3,4,7],[2,8],[5],[6]]=>[[1,2,4,5,8],[3],[6],[7]]=>[5,1,1,1] [[1,2,4,7],[3,8],[5],[6]]=>[[1,2,3,5,8],[4],[6],[7]]=>[5,1,1,1] [[1,2,3,7],[4,8],[5],[6]]=>[[1,2,3,4,8],[5],[6],[7]]=>[5,1,1,1] [[1,4,5,6],[2,8],[3],[7]]=>[[1,2,5,6,7,8],[3],[4]]=>[6,1,1] [[1,3,5,6],[2,8],[4],[7]]=>[[1,2,4,6,7,8],[3],[5]]=>[6,1,1] [[1,2,5,6],[3,8],[4],[7]]=>[[1,2,3,6,7,8],[4],[5]]=>[6,1,1] [[1,3,4,6],[2,8],[5],[7]]=>[[1,2,4,5,7,8],[3],[6]]=>[6,1,1] [[1,2,4,6],[3,8],[5],[7]]=>[[1,2,3,5,7,8],[4],[6]]=>[6,1,1] [[1,2,3,6],[4,8],[5],[7]]=>[[1,2,3,4,7,8],[5],[6]]=>[6,1,1] [[1,3,4,5],[2,8],[6],[7]]=>[[1,2,4,5,6,8],[3],[7]]=>[6,1,1] [[1,2,4,5],[3,8],[6],[7]]=>[[1,2,3,5,6,8],[4],[7]]=>[6,1,1] [[1,2,3,5],[4,8],[6],[7]]=>[[1,2,3,4,6,8],[5],[7]]=>[6,1,1] [[1,2,3,4],[5,8],[6],[7]]=>[[1,2,3,4,5,8],[6],[7]]=>[6,1,1] [[1,4,6,7],[2,5],[3],[8]]=>[[1,2,5,7,8],[3,6],[4]]=>[5,2,1] [[1,3,6,7],[2,5],[4],[8]]=>[[1,2,4,5,8],[3,7],[6]]=>[5,2,1] [[1,2,6,7],[3,5],[4],[8]]=>[[1,2,3,5,8],[4,7],[6]]=>[5,2,1] [[1,3,6,7],[2,4],[5],[8]]=>[[1,2,4,7,8],[3,5],[6]]=>[5,2,1] [[1,2,6,7],[3,4],[5],[8]]=>[[1,2,3,4,8],[5,7],[6]]=>[5,2,1] [[1,4,5,7],[2,6],[3],[8]]=>[[1,2,5,6,8],[3,7],[4]]=>[5,2,1] [[1,3,5,7],[2,6],[4],[8]]=>[[1,2,4,6,8],[3,7],[5]]=>[5,2,1] [[1,2,5,7],[3,6],[4],[8]]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1] [[1,3,4,7],[2,6],[5],[8]]=>[[1,2,4,5,6],[3,8],[7]]=>[5,2,1] [[1,2,4,7],[3,6],[5],[8]]=>[[1,2,3,5,6],[4,8],[7]]=>[5,2,1] [[1,2,3,7],[4,6],[5],[8]]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1] [[1,3,5,7],[2,4],[6],[8]]=>[[1,2,4,6,8],[3,5],[7]]=>[5,2,1] [[1,2,5,7],[3,4],[6],[8]]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1] [[1,3,4,7],[2,5],[6],[8]]=>[[1,2,4,5,8],[3,6],[7]]=>[5,2,1] [[1,2,4,7],[3,5],[6],[8]]=>[[1,2,3,5,8],[4,6],[7]]=>[5,2,1] [[1,2,3,7],[4,5],[6],[8]]=>[[1,2,3,4,5],[6,8],[7]]=>[5,2,1] [[1,4,5,6],[2,7],[3],[8]]=>[[1,2,5,6,7],[3,8],[4]]=>[5,2,1] [[1,3,5,6],[2,7],[4],[8]]=>[[1,2,4,6,7],[3,8],[5]]=>[5,2,1] [[1,2,5,6],[3,7],[4],[8]]=>[[1,2,3,6,7],[4,8],[5]]=>[5,2,1] [[1,3,4,6],[2,7],[5],[8]]=>[[1,2,4,5,7],[3,8],[6]]=>[5,2,1] [[1,2,4,6],[3,7],[5],[8]]=>[[1,2,3,5,7],[4,8],[6]]=>[5,2,1] [[1,2,3,6],[4,7],[5],[8]]=>[[1,2,3,4,7],[5,8],[6]]=>[5,2,1] [[1,3,4,5],[2,7],[6],[8]]=>[[1,2,4,5,6,7],[3],[8]]=>[6,1,1] [[1,2,4,5],[3,7],[6],[8]]=>[[1,2,3,5,6,7],[4],[8]]=>[6,1,1] [[1,2,3,5],[4,7],[6],[8]]=>[[1,2,3,4,6,7],[5],[8]]=>[6,1,1] [[1,2,3,4],[5,7],[6],[8]]=>[[1,2,3,4,5,7],[6],[8]]=>[6,1,1] [[1,3,5,6],[2,4],[7],[8]]=>[[1,2,4,6,7],[3,5],[8]]=>[5,2,1] [[1,2,5,6],[3,4],[7],[8]]=>[[1,2,3,4,7],[5,6],[8]]=>[5,2,1] [[1,3,4,6],[2,5],[7],[8]]=>[[1,2,4,5,7],[3,6],[8]]=>[5,2,1] [[1,2,4,6],[3,5],[7],[8]]=>[[1,2,3,5,7],[4,6],[8]]=>[5,2,1] [[1,2,3,6],[4,5],[7],[8]]=>[[1,2,3,4,5],[6,7],[8]]=>[5,2,1] [[1,3,4,5],[2,6],[7],[8]]=>[[1,2,4,5,6],[3,7],[8]]=>[5,2,1] [[1,2,4,5],[3,6],[7],[8]]=>[[1,2,3,5,6],[4,7],[8]]=>[5,2,1] [[1,2,3,5],[4,6],[7],[8]]=>[[1,2,3,4,6],[5,7],[8]]=>[5,2,1] [[1,2,3,4],[5,6],[7],[8]]=>[[1,2,3,4,5,6],[7],[8]]=>[6,1,1] [[1,6,7,8],[2],[3],[4],[5]]=>[[1,2,7,8],[3],[4],[5],[6]]=>[4,1,1,1,1] [[1,5,7,8],[2],[3],[4],[6]]=>[[1,2,6,8],[3],[4],[5],[7]]=>[4,1,1,1,1] [[1,4,7,8],[2],[3],[5],[6]]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,1,1,1,1] [[1,3,7,8],[2],[4],[5],[6]]=>[[1,2,4,8],[3],[5],[6],[7]]=>[4,1,1,1,1] [[1,2,7,8],[3],[4],[5],[6]]=>[[1,2,3,8],[4],[5],[6],[7]]=>[4,1,1,1,1] [[1,5,6,8],[2],[3],[4],[7]]=>[[1,2,6,7],[3],[4],[5],[8]]=>[4,1,1,1,1] [[1,4,6,8],[2],[3],[5],[7]]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,1,1,1,1] [[1,3,6,8],[2],[4],[5],[7]]=>[[1,2,4,7],[3],[5],[6],[8]]=>[4,1,1,1,1] [[1,2,6,8],[3],[4],[5],[7]]=>[[1,2,3,7],[4],[5],[6],[8]]=>[4,1,1,1,1] [[1,4,5,8],[2],[3],[6],[7]]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,1,1,1,1] [[1,3,5,8],[2],[4],[6],[7]]=>[[1,2,4,6],[3],[5],[7],[8]]=>[4,1,1,1,1] [[1,2,5,8],[3],[4],[6],[7]]=>[[1,2,3,6],[4],[5],[7],[8]]=>[4,1,1,1,1] [[1,3,4,8],[2],[5],[6],[7]]=>[[1,2,4,5],[3],[6],[7],[8]]=>[4,1,1,1,1] [[1,2,4,8],[3],[5],[6],[7]]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,1,1,1,1] [[1,2,3,8],[4],[5],[6],[7]]=>[[1,2,3,4],[5],[6],[7],[8]]=>[4,1,1,1,1] [[1,5,6,7],[2],[3],[4],[8]]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,1,1,1] [[1,4,6,7],[2],[3],[5],[8]]=>[[1,2,5,7,8],[3],[4],[6]]=>[5,1,1,1] [[1,3,6,7],[2],[4],[5],[8]]=>[[1,2,4,7,8],[3],[5],[6]]=>[5,1,1,1] [[1,2,6,7],[3],[4],[5],[8]]=>[[1,2,3,7,8],[4],[5],[6]]=>[5,1,1,1] [[1,4,5,7],[2],[3],[6],[8]]=>[[1,2,5,6,8],[3],[4],[7]]=>[5,1,1,1] [[1,3,5,7],[2],[4],[6],[8]]=>[[1,2,4,6,8],[3],[5],[7]]=>[5,1,1,1] [[1,2,5,7],[3],[4],[6],[8]]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,1,1,1] [[1,3,4,7],[2],[5],[6],[8]]=>[[1,2,4,5,8],[3],[6],[7]]=>[5,1,1,1] [[1,2,4,7],[3],[5],[6],[8]]=>[[1,2,3,5,8],[4],[6],[7]]=>[5,1,1,1] [[1,2,3,7],[4],[5],[6],[8]]=>[[1,2,3,4,8],[5],[6],[7]]=>[5,1,1,1] [[1,4,5,6],[2],[3],[7],[8]]=>[[1,2,5,6,7],[3],[4],[8]]=>[5,1,1,1] [[1,3,5,6],[2],[4],[7],[8]]=>[[1,2,4,6,7],[3],[5],[8]]=>[5,1,1,1] [[1,2,5,6],[3],[4],[7],[8]]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,1,1,1] [[1,3,4,6],[2],[5],[7],[8]]=>[[1,2,4,5,7],[3],[6],[8]]=>[5,1,1,1] [[1,2,4,6],[3],[5],[7],[8]]=>[[1,2,3,5,7],[4],[6],[8]]=>[5,1,1,1] [[1,2,3,6],[4],[5],[7],[8]]=>[[1,2,3,4,7],[5],[6],[8]]=>[5,1,1,1] [[1,3,4,5],[2],[6],[7],[8]]=>[[1,2,4,5,6],[3],[7],[8]]=>[5,1,1,1] [[1,2,4,5],[3],[6],[7],[8]]=>[[1,2,3,5,6],[4],[7],[8]]=>[5,1,1,1] [[1,2,3,5],[4],[6],[7],[8]]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,1,1,1] [[1,2,3,4],[5],[6],[7],[8]]=>[[1,2,3,4,5],[6],[7],[8]]=>[5,1,1,1] [[1,4,7],[2,5,8],[3,6]]=>[[1,2,5,8],[3,6],[4,7]]=>[4,2,2] [[1,3,7],[2,5,8],[4,6]]=>[[1,2,4,5,8],[3,6],[7]]=>[5,2,1] [[1,2,7],[3,5,8],[4,6]]=>[[1,2,3,5,8],[4,6],[7]]=>[5,2,1] [[1,3,7],[2,4,8],[5,6]]=>[[1,2,4,6,8],[3,5],[7]]=>[5,2,1] [[1,2,7],[3,4,8],[5,6]]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1] [[1,4,6],[2,5,8],[3,7]]=>[[1,2,5,7,8],[3,6],[4]]=>[5,2,1] [[1,3,6],[2,5,8],[4,7]]=>[[1,2,4,5,8],[3,7],[6]]=>[5,2,1] [[1,2,6],[3,5,8],[4,7]]=>[[1,2,3,5,8],[4,7],[6]]=>[5,2,1] [[1,3,6],[2,4,8],[5,7]]=>[[1,2,4,7,8],[3,5],[6]]=>[5,2,1] [[1,2,6],[3,4,8],[5,7]]=>[[1,2,3,4,8],[5,7],[6]]=>[5,2,1] [[1,4,5],[2,6,8],[3,7]]=>[[1,2,5,6,8],[3,7],[4]]=>[5,2,1] [[1,3,5],[2,6,8],[4,7]]=>[[1,2,4,6,8],[3,7],[5]]=>[5,2,1] [[1,2,5],[3,6,8],[4,7]]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1] [[1,3,4],[2,6,8],[5,7]]=>[[1,2,4,5,6,8],[3,7]]=>[6,2] [[1,2,4],[3,6,8],[5,7]]=>[[1,2,3,5,6,8],[4,7]]=>[6,2] [[1,2,3],[4,6,8],[5,7]]=>[[1,2,3,4,6,8],[5,7]]=>[6,2] [[1,3,5],[2,4,8],[6,7]]=>[[1,2,4,6,7,8],[3,5]]=>[6,2] [[1,2,5],[3,4,8],[6,7]]=>[[1,2,3,4,7,8],[5,6]]=>[6,2] [[1,3,4],[2,5,8],[6,7]]=>[[1,2,4,5,7,8],[3,6]]=>[6,2] [[1,2,4],[3,5,8],[6,7]]=>[[1,2,3,5,7,8],[4,6]]=>[6,2] [[1,2,3],[4,5,8],[6,7]]=>[[1,2,3,4,5,8],[6,7]]=>[6,2] [[1,4,6],[2,5,7],[3,8]]=>[[1,2,5,7],[3,6,8],[4]]=>[4,3,1] [[1,3,6],[2,5,7],[4,8]]=>[[1,2,4,5,7],[3,8],[6]]=>[5,2,1] [[1,2,6],[3,5,7],[4,8]]=>[[1,2,3,5,7],[4,8],[6]]=>[5,2,1] [[1,3,6],[2,4,7],[5,8]]=>[[1,2,4,7],[3,5,8],[6]]=>[4,3,1] [[1,2,6],[3,4,7],[5,8]]=>[[1,2,3,4,7],[5,8],[6]]=>[5,2,1] [[1,4,5],[2,6,7],[3,8]]=>[[1,2,5,6,7],[3,8],[4]]=>[5,2,1] [[1,3,5],[2,6,7],[4,8]]=>[[1,2,4,6,7],[3,8],[5]]=>[5,2,1] [[1,2,5],[3,6,7],[4,8]]=>[[1,2,3,6,7],[4,8],[5]]=>[5,2,1] [[1,3,4],[2,6,7],[5,8]]=>[[1,2,4,5,6,7],[3,8]]=>[6,2] [[1,2,4],[3,6,7],[5,8]]=>[[1,2,3,5,6,7],[4,8]]=>[6,2] [[1,2,3],[4,6,7],[5,8]]=>[[1,2,3,4,6,7],[5,8]]=>[6,2] [[1,3,5],[2,4,7],[6,8]]=>[[1,2,4,6,7],[3,5,8]]=>[5,3] [[1,2,5],[3,4,7],[6,8]]=>[[1,2,3,4,7],[5,6,8]]=>[5,3] [[1,3,4],[2,5,7],[6,8]]=>[[1,2,4,5,7],[3,6,8]]=>[5,3] [[1,2,4],[3,5,7],[6,8]]=>[[1,2,3,5,7],[4,6,8]]=>[5,3] [[1,2,3],[4,5,7],[6,8]]=>[[1,2,3,4,5,7],[6,8]]=>[6,2] [[1,3,5],[2,4,6],[7,8]]=>[[1,2,4,6,8],[3,5,7]]=>[5,3] [[1,2,5],[3,4,6],[7,8]]=>[[1,2,3,4,6],[5,7,8]]=>[5,3] [[1,3,4],[2,5,6],[7,8]]=>[[1,2,4,5,6],[3,7,8]]=>[5,3] [[1,2,4],[3,5,6],[7,8]]=>[[1,2,3,5,6],[4,7,8]]=>[5,3] [[1,2,3],[4,5,6],[7,8]]=>[[1,2,3,4,5,6],[7,8]]=>[6,2] [[1,5,7],[2,6,8],[3],[4]]=>[[1,2,6,8],[3,7],[4],[5]]=>[4,2,1,1] [[1,4,7],[2,6,8],[3],[5]]=>[[1,2,5,6,8],[3],[4],[7]]=>[5,1,1,1] [[1,3,7],[2,6,8],[4],[5]]=>[[1,2,4,6,8],[3],[5],[7]]=>[5,1,1,1] [[1,2,7],[3,6,8],[4],[5]]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,1,1,1] [[1,4,7],[2,5,8],[3],[6]]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,2,1,1] [[1,3,7],[2,5,8],[4],[6]]=>[[1,2,4,5,8],[3],[6],[7]]=>[5,1,1,1] [[1,2,7],[3,5,8],[4],[6]]=>[[1,2,3,5,8],[4],[6],[7]]=>[5,1,1,1] [[1,3,7],[2,4,8],[5],[6]]=>[[1,2,4,8],[3,5],[6],[7]]=>[4,2,1,1] [[1,2,7],[3,4,8],[5],[6]]=>[[1,2,3,4,8],[5],[6],[7]]=>[5,1,1,1] [[1,5,6],[2,7,8],[3],[4]]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,1,1,1] [[1,4,6],[2,7,8],[3],[5]]=>[[1,2,5,7,8],[3],[4],[6]]=>[5,1,1,1] [[1,3,6],[2,7,8],[4],[5]]=>[[1,2,4,7,8],[3],[5],[6]]=>[5,1,1,1] [[1,2,6],[3,7,8],[4],[5]]=>[[1,2,3,7,8],[4],[5],[6]]=>[5,1,1,1] [[1,4,5],[2,7,8],[3],[6]]=>[[1,2,5,6,7,8],[3],[4]]=>[6,1,1] [[1,3,5],[2,7,8],[4],[6]]=>[[1,2,4,6,7,8],[3],[5]]=>[6,1,1] [[1,2,5],[3,7,8],[4],[6]]=>[[1,2,3,6,7,8],[4],[5]]=>[6,1,1] [[1,3,4],[2,7,8],[5],[6]]=>[[1,2,4,5,7,8],[3],[6]]=>[6,1,1] [[1,2,4],[3,7,8],[5],[6]]=>[[1,2,3,5,7,8],[4],[6]]=>[6,1,1] [[1,2,3],[4,7,8],[5],[6]]=>[[1,2,3,4,7,8],[5],[6]]=>[6,1,1] [[1,4,6],[2,5,8],[3],[7]]=>[[1,2,5,7,8],[3,6],[4]]=>[5,2,1] [[1,3,6],[2,5,8],[4],[7]]=>[[1,2,4,5,8],[3,7],[6]]=>[5,2,1] [[1,2,6],[3,5,8],[4],[7]]=>[[1,2,3,5,8],[4,7],[6]]=>[5,2,1] [[1,3,6],[2,4,8],[5],[7]]=>[[1,2,4,7,8],[3,5],[6]]=>[5,2,1] [[1,2,6],[3,4,8],[5],[7]]=>[[1,2,3,4,8],[5,7],[6]]=>[5,2,1] [[1,4,5],[2,6,8],[3],[7]]=>[[1,2,5,6,8],[3,7],[4]]=>[5,2,1] [[1,3,5],[2,6,8],[4],[7]]=>[[1,2,4,6,8],[3,7],[5]]=>[5,2,1] [[1,2,5],[3,6,8],[4],[7]]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1] [[1,3,4],[2,6,8],[5],[7]]=>[[1,2,4,5,6,8],[3],[7]]=>[6,1,1] [[1,2,4],[3,6,8],[5],[7]]=>[[1,2,3,5,6,8],[4],[7]]=>[6,1,1] [[1,2,3],[4,6,8],[5],[7]]=>[[1,2,3,4,6,8],[5],[7]]=>[6,1,1] [[1,3,5],[2,4,8],[6],[7]]=>[[1,2,4,6,8],[3,5],[7]]=>[5,2,1] [[1,2,5],[3,4,8],[6],[7]]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1] [[1,3,4],[2,5,8],[6],[7]]=>[[1,2,4,5,8],[3,6],[7]]=>[5,2,1] [[1,2,4],[3,5,8],[6],[7]]=>[[1,2,3,5,8],[4,6],[7]]=>[5,2,1] [[1,2,3],[4,5,8],[6],[7]]=>[[1,2,3,4,5,8],[6],[7]]=>[6,1,1] [[1,4,6],[2,5,7],[3],[8]]=>[[1,2,5,7],[3,6,8],[4]]=>[4,3,1] [[1,3,6],[2,5,7],[4],[8]]=>[[1,2,4,5,7],[3,8],[6]]=>[5,2,1] [[1,2,6],[3,5,7],[4],[8]]=>[[1,2,3,5,7],[4,8],[6]]=>[5,2,1] [[1,3,6],[2,4,7],[5],[8]]=>[[1,2,4,7],[3,5,8],[6]]=>[4,3,1] [[1,2,6],[3,4,7],[5],[8]]=>[[1,2,3,4,7],[5,8],[6]]=>[5,2,1] [[1,4,5],[2,6,7],[3],[8]]=>[[1,2,5,6,7],[3,8],[4]]=>[5,2,1] [[1,3,5],[2,6,7],[4],[8]]=>[[1,2,4,6,7],[3,8],[5]]=>[5,2,1] [[1,2,5],[3,6,7],[4],[8]]=>[[1,2,3,6,7],[4,8],[5]]=>[5,2,1] [[1,3,4],[2,6,7],[5],[8]]=>[[1,2,4,5,6,7],[3],[8]]=>[6,1,1] [[1,2,4],[3,6,7],[5],[8]]=>[[1,2,3,5,6,7],[4],[8]]=>[6,1,1] [[1,2,3],[4,6,7],[5],[8]]=>[[1,2,3,4,6,7],[5],[8]]=>[6,1,1] [[1,3,5],[2,4,7],[6],[8]]=>[[1,2,4,6,7],[3,5],[8]]=>[5,2,1] [[1,2,5],[3,4,7],[6],[8]]=>[[1,2,3,4,7],[5,6],[8]]=>[5,2,1] [[1,3,4],[2,5,7],[6],[8]]=>[[1,2,4,5,7],[3,6],[8]]=>[5,2,1] [[1,2,4],[3,5,7],[6],[8]]=>[[1,2,3,5,7],[4,6],[8]]=>[5,2,1] [[1,2,3],[4,5,7],[6],[8]]=>[[1,2,3,4,5,7],[6],[8]]=>[6,1,1] [[1,3,5],[2,4,6],[7],[8]]=>[[1,2,4,6],[3,5,7],[8]]=>[4,3,1] [[1,2,5],[3,4,6],[7],[8]]=>[[1,2,3,4,6],[5,7],[8]]=>[5,2,1] [[1,3,4],[2,5,6],[7],[8]]=>[[1,2,4,5,6],[3,7],[8]]=>[5,2,1] [[1,2,4],[3,5,6],[7],[8]]=>[[1,2,3,5,6],[4,7],[8]]=>[5,2,1] [[1,2,3],[4,5,6],[7],[8]]=>[[1,2,3,4,5,6],[7],[8]]=>[6,1,1] [[1,5,8],[2,6],[3,7],[4]]=>[[1,2,6],[3,7],[4,8],[5]]=>[3,2,2,1] [[1,4,8],[2,6],[3,7],[5]]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,2,1,1] [[1,3,8],[2,6],[4,7],[5]]=>[[1,2,4,6],[3,7],[5],[8]]=>[4,2,1,1] [[1,2,8],[3,6],[4,7],[5]]=>[[1,2,3,6],[4,7],[5],[8]]=>[4,2,1,1] [[1,4,8],[2,5],[3,7],[6]]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,1,1] [[1,3,8],[2,5],[4,7],[6]]=>[[1,2,4,5],[3,7],[6],[8]]=>[4,2,1,1] [[1,2,8],[3,5],[4,7],[6]]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,1,1] [[1,3,8],[2,4],[5,7],[6]]=>[[1,2,4,7],[3,5],[6],[8]]=>[4,2,1,1] [[1,2,8],[3,4],[5,7],[6]]=>[[1,2,3,4],[5,7],[6],[8]]=>[4,2,1,1] [[1,4,8],[2,5],[3,6],[7]]=>[[1,2,5],[3,6],[4,7],[8]]=>[3,2,2,1] [[1,3,8],[2,5],[4,6],[7]]=>[[1,2,4,5],[3,6],[7],[8]]=>[4,2,1,1] [[1,2,8],[3,5],[4,6],[7]]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,2,1,1] [[1,3,8],[2,4],[5,6],[7]]=>[[1,2,4,6],[3,5],[7],[8]]=>[4,2,1,1] [[1,2,8],[3,4],[5,6],[7]]=>[[1,2,3,4],[5,6],[7],[8]]=>[4,2,1,1] [[1,5,7],[2,6],[3,8],[4]]=>[[1,2,6,8],[3,7],[4],[5]]=>[4,2,1,1] [[1,4,7],[2,6],[3,8],[5]]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,2,1,1] [[1,3,7],[2,6],[4,8],[5]]=>[[1,2,4,6],[3,8],[5],[7]]=>[4,2,1,1] [[1,2,7],[3,6],[4,8],[5]]=>[[1,2,3,6],[4,8],[5],[7]]=>[4,2,1,1] [[1,4,7],[2,5],[3,8],[6]]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,2,1,1] [[1,3,7],[2,5],[4,8],[6]]=>[[1,2,4,5],[3,8],[6],[7]]=>[4,2,1,1] [[1,2,7],[3,5],[4,8],[6]]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,2,1,1] [[1,3,7],[2,4],[5,8],[6]]=>[[1,2,4,8],[3,5],[6],[7]]=>[4,2,1,1] [[1,2,7],[3,4],[5,8],[6]]=>[[1,2,3,4],[5,8],[6],[7]]=>[4,2,1,1] [[1,5,6],[2,7],[3,8],[4]]=>[[1,2,6,7],[3,8],[4],[5]]=>[4,2,1,1] [[1,4,6],[2,7],[3,8],[5]]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,1,1] [[1,3,6],[2,7],[4,8],[5]]=>[[1,2,4,7],[3,8],[5],[6]]=>[4,2,1,1] [[1,2,6],[3,7],[4,8],[5]]=>[[1,2,3,7],[4,8],[5],[6]]=>[4,2,1,1] [[1,4,5],[2,7],[3,8],[6]]=>[[1,2,5,6,7],[3,8],[4]]=>[5,2,1] [[1,3,5],[2,7],[4,8],[6]]=>[[1,2,4,6,7],[3,8],[5]]=>[5,2,1] [[1,2,5],[3,7],[4,8],[6]]=>[[1,2,3,6,7],[4,8],[5]]=>[5,2,1] [[1,3,4],[2,7],[5,8],[6]]=>[[1,2,4,5,7],[3,8],[6]]=>[5,2,1] [[1,2,4],[3,7],[5,8],[6]]=>[[1,2,3,5,7],[4,8],[6]]=>[5,2,1] [[1,2,3],[4,7],[5,8],[6]]=>[[1,2,3,4,7],[5,8],[6]]=>[5,2,1] [[1,4,6],[2,5],[3,8],[7]]=>[[1,2,5,7,8],[3,6],[4]]=>[5,2,1] [[1,3,6],[2,5],[4,8],[7]]=>[[1,2,4,5,8],[3,7],[6]]=>[5,2,1] [[1,2,6],[3,5],[4,8],[7]]=>[[1,2,3,5,8],[4,7],[6]]=>[5,2,1] [[1,3,6],[2,4],[5,8],[7]]=>[[1,2,4,7,8],[3,5],[6]]=>[5,2,1] [[1,2,6],[3,4],[5,8],[7]]=>[[1,2,3,4,8],[5,7],[6]]=>[5,2,1] [[1,4,5],[2,6],[3,8],[7]]=>[[1,2,5,6,8],[3,7],[4]]=>[5,2,1] [[1,3,5],[2,6],[4,8],[7]]=>[[1,2,4,6,8],[3,7],[5]]=>[5,2,1] [[1,2,5],[3,6],[4,8],[7]]=>[[1,2,3,6,8],[4,7],[5]]=>[5,2,1] [[1,3,4],[2,6],[5,8],[7]]=>[[1,2,4,5,6],[3,8],[7]]=>[5,2,1] [[1,2,4],[3,6],[5,8],[7]]=>[[1,2,3,5,6],[4,8],[7]]=>[5,2,1] [[1,2,3],[4,6],[5,8],[7]]=>[[1,2,3,4,6],[5,8],[7]]=>[5,2,1] [[1,3,5],[2,4],[6,8],[7]]=>[[1,2,4,6,8],[3,5],[7]]=>[5,2,1] [[1,2,5],[3,4],[6,8],[7]]=>[[1,2,3,4,8],[5,6],[7]]=>[5,2,1] [[1,3,4],[2,5],[6,8],[7]]=>[[1,2,4,5,8],[3,6],[7]]=>[5,2,1] [[1,2,4],[3,5],[6,8],[7]]=>[[1,2,3,5,8],[4,6],[7]]=>[5,2,1] [[1,2,3],[4,5],[6,8],[7]]=>[[1,2,3,4,5],[6,8],[7]]=>[5,2,1] [[1,4,7],[2,5],[3,6],[8]]=>[[1,2,5,8],[3,6],[4,7]]=>[4,2,2] [[1,3,7],[2,5],[4,6],[8]]=>[[1,2,4,5],[3,6],[7,8]]=>[4,2,2] [[1,2,7],[3,5],[4,6],[8]]=>[[1,2,3,5],[4,6],[7,8]]=>[4,2,2] [[1,3,7],[2,4],[5,6],[8]]=>[[1,2,4,6],[3,5],[7,8]]=>[4,2,2] [[1,2,7],[3,4],[5,6],[8]]=>[[1,2,3,4],[5,6],[7,8]]=>[4,2,2] [[1,4,6],[2,5],[3,7],[8]]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2] [[1,3,6],[2,5],[4,7],[8]]=>[[1,2,4,5],[3,7],[6,8]]=>[4,2,2] [[1,2,6],[3,5],[4,7],[8]]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2] [[1,3,6],[2,4],[5,7],[8]]=>[[1,2,4,7],[3,5],[6,8]]=>[4,2,2] [[1,2,6],[3,4],[5,7],[8]]=>[[1,2,3,4],[5,7],[6,8]]=>[4,2,2] [[1,4,5],[2,6],[3,7],[8]]=>[[1,2,5,6],[3,7],[4,8]]=>[4,2,2] [[1,3,5],[2,6],[4,7],[8]]=>[[1,2,4,6],[3,7],[5,8]]=>[4,2,2] [[1,2,5],[3,6],[4,7],[8]]=>[[1,2,3,6],[4,7],[5,8]]=>[4,2,2] [[1,3,4],[2,6],[5,7],[8]]=>[[1,2,4,5,6],[3,7],[8]]=>[5,2,1] [[1,2,4],[3,6],[5,7],[8]]=>[[1,2,3,5,6],[4,7],[8]]=>[5,2,1] [[1,2,3],[4,6],[5,7],[8]]=>[[1,2,3,4,6],[5,7],[8]]=>[5,2,1] [[1,3,5],[2,4],[6,7],[8]]=>[[1,2,4,6,7],[3,5],[8]]=>[5,2,1] [[1,2,5],[3,4],[6,7],[8]]=>[[1,2,3,4,7],[5,6],[8]]=>[5,2,1] [[1,3,4],[2,5],[6,7],[8]]=>[[1,2,4,5,7],[3,6],[8]]=>[5,2,1] [[1,2,4],[3,5],[6,7],[8]]=>[[1,2,3,5,7],[4,6],[8]]=>[5,2,1] [[1,2,3],[4,5],[6,7],[8]]=>[[1,2,3,4,5],[6,7],[8]]=>[5,2,1] [[1,6,8],[2,7],[3],[4],[5]]=>[[1,2,7],[3,8],[4],[5],[6]]=>[3,2,1,1,1] [[1,5,8],[2,7],[3],[4],[6]]=>[[1,2,6,7],[3],[4],[5],[8]]=>[4,1,1,1,1] [[1,4,8],[2,7],[3],[5],[6]]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,1,1,1,1] [[1,3,8],[2,7],[4],[5],[6]]=>[[1,2,4,7],[3],[5],[6],[8]]=>[4,1,1,1,1] [[1,2,8],[3,7],[4],[5],[6]]=>[[1,2,3,7],[4],[5],[6],[8]]=>[4,1,1,1,1] [[1,5,8],[2,6],[3],[4],[7]]=>[[1,2,6],[3,7],[4],[5],[8]]=>[3,2,1,1,1] [[1,4,8],[2,6],[3],[5],[7]]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,1,1,1,1] [[1,3,8],[2,6],[4],[5],[7]]=>[[1,2,4,6],[3],[5],[7],[8]]=>[4,1,1,1,1] [[1,2,8],[3,6],[4],[5],[7]]=>[[1,2,3,6],[4],[5],[7],[8]]=>[4,1,1,1,1] [[1,4,8],[2,5],[3],[6],[7]]=>[[1,2,5],[3,6],[4],[7],[8]]=>[3,2,1,1,1] [[1,3,8],[2,5],[4],[6],[7]]=>[[1,2,4,5],[3],[6],[7],[8]]=>[4,1,1,1,1] [[1,2,8],[3,5],[4],[6],[7]]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,1,1,1,1] [[1,3,8],[2,4],[5],[6],[7]]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,2,1,1,1] [[1,2,8],[3,4],[5],[6],[7]]=>[[1,2,3,4],[5],[6],[7],[8]]=>[4,1,1,1,1] [[1,6,7],[2,8],[3],[4],[5]]=>[[1,2,7,8],[3],[4],[5],[6]]=>[4,1,1,1,1] [[1,5,7],[2,8],[3],[4],[6]]=>[[1,2,6,8],[3],[4],[5],[7]]=>[4,1,1,1,1] [[1,4,7],[2,8],[3],[5],[6]]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,1,1,1,1] [[1,3,7],[2,8],[4],[5],[6]]=>[[1,2,4,8],[3],[5],[6],[7]]=>[4,1,1,1,1] [[1,2,7],[3,8],[4],[5],[6]]=>[[1,2,3,8],[4],[5],[6],[7]]=>[4,1,1,1,1] [[1,5,6],[2,8],[3],[4],[7]]=>[[1,2,6,7,8],[3],[4],[5]]=>[5,1,1,1] [[1,4,6],[2,8],[3],[5],[7]]=>[[1,2,5,7,8],[3],[4],[6]]=>[5,1,1,1] [[1,3,6],[2,8],[4],[5],[7]]=>[[1,2,4,7,8],[3],[5],[6]]=>[5,1,1,1] [[1,2,6],[3,8],[4],[5],[7]]=>[[1,2,3,7,8],[4],[5],[6]]=>[5,1,1,1] [[1,4,5],[2,8],[3],[6],[7]]=>[[1,2,5,6,8],[3],[4],[7]]=>[5,1,1,1] [[1,3,5],[2,8],[4],[6],[7]]=>[[1,2,4,6,8],[3],[5],[7]]=>[5,1,1,1] [[1,2,5],[3,8],[4],[6],[7]]=>[[1,2,3,6,8],[4],[5],[7]]=>[5,1,1,1] [[1,3,4],[2,8],[5],[6],[7]]=>[[1,2,4,5,8],[3],[6],[7]]=>[5,1,1,1] [[1,2,4],[3,8],[5],[6],[7]]=>[[1,2,3,5,8],[4],[6],[7]]=>[5,1,1,1] [[1,2,3],[4,8],[5],[6],[7]]=>[[1,2,3,4,8],[5],[6],[7]]=>[5,1,1,1] [[1,5,7],[2,6],[3],[4],[8]]=>[[1,2,6,8],[3,7],[4],[5]]=>[4,2,1,1] [[1,4,7],[2,6],[3],[5],[8]]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,2,1,1] [[1,3,7],[2,6],[4],[5],[8]]=>[[1,2,4,6],[3,8],[5],[7]]=>[4,2,1,1] [[1,2,7],[3,6],[4],[5],[8]]=>[[1,2,3,6],[4,8],[5],[7]]=>[4,2,1,1] [[1,4,7],[2,5],[3],[6],[8]]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,2,1,1] [[1,3,7],[2,5],[4],[6],[8]]=>[[1,2,4,5],[3,8],[6],[7]]=>[4,2,1,1] [[1,2,7],[3,5],[4],[6],[8]]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,2,1,1] [[1,3,7],[2,4],[5],[6],[8]]=>[[1,2,4,8],[3,5],[6],[7]]=>[4,2,1,1] [[1,2,7],[3,4],[5],[6],[8]]=>[[1,2,3,4],[5,8],[6],[7]]=>[4,2,1,1] [[1,5,6],[2,7],[3],[4],[8]]=>[[1,2,6,7],[3,8],[4],[5]]=>[4,2,1,1] [[1,4,6],[2,7],[3],[5],[8]]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,1,1] [[1,3,6],[2,7],[4],[5],[8]]=>[[1,2,4,7],[3,8],[5],[6]]=>[4,2,1,1] [[1,2,6],[3,7],[4],[5],[8]]=>[[1,2,3,7],[4,8],[5],[6]]=>[4,2,1,1] [[1,4,5],[2,7],[3],[6],[8]]=>[[1,2,5,6,7],[3],[4],[8]]=>[5,1,1,1] [[1,3,5],[2,7],[4],[6],[8]]=>[[1,2,4,6,7],[3],[5],[8]]=>[5,1,1,1] [[1,2,5],[3,7],[4],[6],[8]]=>[[1,2,3,6,7],[4],[5],[8]]=>[5,1,1,1] [[1,3,4],[2,7],[5],[6],[8]]=>[[1,2,4,5,7],[3],[6],[8]]=>[5,1,1,1] [[1,2,4],[3,7],[5],[6],[8]]=>[[1,2,3,5,7],[4],[6],[8]]=>[5,1,1,1] [[1,2,3],[4,7],[5],[6],[8]]=>[[1,2,3,4,7],[5],[6],[8]]=>[5,1,1,1] [[1,4,6],[2,5],[3],[7],[8]]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,1,1] [[1,3,6],[2,5],[4],[7],[8]]=>[[1,2,4,5],[3,7],[6],[8]]=>[4,2,1,1] [[1,2,6],[3,5],[4],[7],[8]]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,1,1] [[1,3,6],[2,4],[5],[7],[8]]=>[[1,2,4,7],[3,5],[6],[8]]=>[4,2,1,1] [[1,2,6],[3,4],[5],[7],[8]]=>[[1,2,3,4],[5,7],[6],[8]]=>[4,2,1,1] [[1,4,5],[2,6],[3],[7],[8]]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,2,1,1] [[1,3,5],[2,6],[4],[7],[8]]=>[[1,2,4,6],[3,7],[5],[8]]=>[4,2,1,1] [[1,2,5],[3,6],[4],[7],[8]]=>[[1,2,3,6],[4,7],[5],[8]]=>[4,2,1,1] [[1,3,4],[2,6],[5],[7],[8]]=>[[1,2,4,5,6],[3],[7],[8]]=>[5,1,1,1] [[1,2,4],[3,6],[5],[7],[8]]=>[[1,2,3,5,6],[4],[7],[8]]=>[5,1,1,1] [[1,2,3],[4,6],[5],[7],[8]]=>[[1,2,3,4,6],[5],[7],[8]]=>[5,1,1,1] [[1,3,5],[2,4],[6],[7],[8]]=>[[1,2,4,6],[3,5],[7],[8]]=>[4,2,1,1] [[1,2,5],[3,4],[6],[7],[8]]=>[[1,2,3,4],[5,6],[7],[8]]=>[4,2,1,1] [[1,3,4],[2,5],[6],[7],[8]]=>[[1,2,4,5],[3,6],[7],[8]]=>[4,2,1,1] [[1,2,4],[3,5],[6],[7],[8]]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,2,1,1] [[1,2,3],[4,5],[6],[7],[8]]=>[[1,2,3,4,5],[6],[7],[8]]=>[5,1,1,1] [[1,7,8],[2],[3],[4],[5],[6]]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[3,1,1,1,1,1] [[1,6,8],[2],[3],[4],[5],[7]]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[3,1,1,1,1,1] [[1,5,8],[2],[3],[4],[6],[7]]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[3,1,1,1,1,1] [[1,4,8],[2],[3],[5],[6],[7]]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[3,1,1,1,1,1] [[1,3,8],[2],[4],[5],[6],[7]]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,1,1,1,1,1] [[1,2,8],[3],[4],[5],[6],[7]]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[3,1,1,1,1,1] [[1,6,7],[2],[3],[4],[5],[8]]=>[[1,2,7,8],[3],[4],[5],[6]]=>[4,1,1,1,1] [[1,5,7],[2],[3],[4],[6],[8]]=>[[1,2,6,8],[3],[4],[5],[7]]=>[4,1,1,1,1] [[1,4,7],[2],[3],[5],[6],[8]]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,1,1,1,1] [[1,3,7],[2],[4],[5],[6],[8]]=>[[1,2,4,8],[3],[5],[6],[7]]=>[4,1,1,1,1] [[1,2,7],[3],[4],[5],[6],[8]]=>[[1,2,3,8],[4],[5],[6],[7]]=>[4,1,1,1,1] [[1,5,6],[2],[3],[4],[7],[8]]=>[[1,2,6,7],[3],[4],[5],[8]]=>[4,1,1,1,1] [[1,4,6],[2],[3],[5],[7],[8]]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,1,1,1,1] [[1,3,6],[2],[4],[5],[7],[8]]=>[[1,2,4,7],[3],[5],[6],[8]]=>[4,1,1,1,1] [[1,2,6],[3],[4],[5],[7],[8]]=>[[1,2,3,7],[4],[5],[6],[8]]=>[4,1,1,1,1] [[1,4,5],[2],[3],[6],[7],[8]]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,1,1,1,1] [[1,3,5],[2],[4],[6],[7],[8]]=>[[1,2,4,6],[3],[5],[7],[8]]=>[4,1,1,1,1] [[1,2,5],[3],[4],[6],[7],[8]]=>[[1,2,3,6],[4],[5],[7],[8]]=>[4,1,1,1,1] [[1,3,4],[2],[5],[6],[7],[8]]=>[[1,2,4,5],[3],[6],[7],[8]]=>[4,1,1,1,1] [[1,2,4],[3],[5],[6],[7],[8]]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,1,1,1,1] [[1,2,3],[4],[5],[6],[7],[8]]=>[[1,2,3,4],[5],[6],[7],[8]]=>[4,1,1,1,1] [[1,5],[2,6],[3,7],[4,8]]=>[[1,2,6],[3,7],[4,8],[5]]=>[3,2,2,1] [[1,4],[2,6],[3,7],[5,8]]=>[[1,2,5,6],[3,7],[4,8]]=>[4,2,2] [[1,3],[2,6],[4,7],[5,8]]=>[[1,2,4,6],[3,7],[5,8]]=>[4,2,2] [[1,2],[3,6],[4,7],[5,8]]=>[[1,2,3,6],[4,7],[5,8]]=>[4,2,2] [[1,4],[2,5],[3,7],[6,8]]=>[[1,2,5,7],[3,6],[4,8]]=>[4,2,2] [[1,3],[2,5],[4,7],[6,8]]=>[[1,2,4,5],[3,7],[6,8]]=>[4,2,2] [[1,2],[3,5],[4,7],[6,8]]=>[[1,2,3,5],[4,7],[6,8]]=>[4,2,2] [[1,3],[2,4],[5,7],[6,8]]=>[[1,2,4,7],[3,5],[6,8]]=>[4,2,2] [[1,2],[3,4],[5,7],[6,8]]=>[[1,2,3,4],[5,7],[6,8]]=>[4,2,2] [[1,4],[2,5],[3,6],[7,8]]=>[[1,2,5,8],[3,6],[4,7]]=>[4,2,2] [[1,3],[2,5],[4,6],[7,8]]=>[[1,2,4,5],[3,6],[7,8]]=>[4,2,2] [[1,2],[3,5],[4,6],[7,8]]=>[[1,2,3,5],[4,6],[7,8]]=>[4,2,2] [[1,3],[2,4],[5,6],[7,8]]=>[[1,2,4,6],[3,5],[7,8]]=>[4,2,2] [[1,2],[3,4],[5,6],[7,8]]=>[[1,2,3,4],[5,6],[7,8]]=>[4,2,2] [[1,6],[2,7],[3,8],[4],[5]]=>[[1,2,7],[3,8],[4],[5],[6]]=>[3,2,1,1,1] [[1,5],[2,7],[3,8],[4],[6]]=>[[1,2,6,7],[3,8],[4],[5]]=>[4,2,1,1] [[1,4],[2,7],[3,8],[5],[6]]=>[[1,2,5,7],[3,8],[4],[6]]=>[4,2,1,1] [[1,3],[2,7],[4,8],[5],[6]]=>[[1,2,4,7],[3,8],[5],[6]]=>[4,2,1,1] [[1,2],[3,7],[4,8],[5],[6]]=>[[1,2,3,7],[4,8],[5],[6]]=>[4,2,1,1] [[1,5],[2,6],[3,8],[4],[7]]=>[[1,2,6,8],[3,7],[4],[5]]=>[4,2,1,1] [[1,4],[2,6],[3,8],[5],[7]]=>[[1,2,5,6],[3,8],[4],[7]]=>[4,2,1,1] [[1,3],[2,6],[4,8],[5],[7]]=>[[1,2,4,6],[3,8],[5],[7]]=>[4,2,1,1] [[1,2],[3,6],[4,8],[5],[7]]=>[[1,2,3,6],[4,8],[5],[7]]=>[4,2,1,1] [[1,4],[2,5],[3,8],[6],[7]]=>[[1,2,5,8],[3,6],[4],[7]]=>[4,2,1,1] [[1,3],[2,5],[4,8],[6],[7]]=>[[1,2,4,5],[3,8],[6],[7]]=>[4,2,1,1] [[1,2],[3,5],[4,8],[6],[7]]=>[[1,2,3,5],[4,8],[6],[7]]=>[4,2,1,1] [[1,3],[2,4],[5,8],[6],[7]]=>[[1,2,4,8],[3,5],[6],[7]]=>[4,2,1,1] [[1,2],[3,4],[5,8],[6],[7]]=>[[1,2,3,4],[5,8],[6],[7]]=>[4,2,1,1] [[1,5],[2,6],[3,7],[4],[8]]=>[[1,2,6],[3,7],[4,8],[5]]=>[3,2,2,1] [[1,4],[2,6],[3,7],[5],[8]]=>[[1,2,5,6],[3,7],[4],[8]]=>[4,2,1,1] [[1,3],[2,6],[4,7],[5],[8]]=>[[1,2,4,6],[3,7],[5],[8]]=>[4,2,1,1] [[1,2],[3,6],[4,7],[5],[8]]=>[[1,2,3,6],[4,7],[5],[8]]=>[4,2,1,1] [[1,4],[2,5],[3,7],[6],[8]]=>[[1,2,5,7],[3,6],[4],[8]]=>[4,2,1,1] [[1,3],[2,5],[4,7],[6],[8]]=>[[1,2,4,5],[3,7],[6],[8]]=>[4,2,1,1] [[1,2],[3,5],[4,7],[6],[8]]=>[[1,2,3,5],[4,7],[6],[8]]=>[4,2,1,1] [[1,3],[2,4],[5,7],[6],[8]]=>[[1,2,4,7],[3,5],[6],[8]]=>[4,2,1,1] [[1,2],[3,4],[5,7],[6],[8]]=>[[1,2,3,4],[5,7],[6],[8]]=>[4,2,1,1] [[1,4],[2,5],[3,6],[7],[8]]=>[[1,2,5],[3,6],[4,7],[8]]=>[3,2,2,1] [[1,3],[2,5],[4,6],[7],[8]]=>[[1,2,4,5],[3,6],[7],[8]]=>[4,2,1,1] [[1,2],[3,5],[4,6],[7],[8]]=>[[1,2,3,5],[4,6],[7],[8]]=>[4,2,1,1] [[1,3],[2,4],[5,6],[7],[8]]=>[[1,2,4,6],[3,5],[7],[8]]=>[4,2,1,1] [[1,2],[3,4],[5,6],[7],[8]]=>[[1,2,3,4],[5,6],[7],[8]]=>[4,2,1,1] [[1,7],[2,8],[3],[4],[5],[6]]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[3,1,1,1,1,1] [[1,6],[2,8],[3],[4],[5],[7]]=>[[1,2,7,8],[3],[4],[5],[6]]=>[4,1,1,1,1] [[1,5],[2,8],[3],[4],[6],[7]]=>[[1,2,6,8],[3],[4],[5],[7]]=>[4,1,1,1,1] [[1,4],[2,8],[3],[5],[6],[7]]=>[[1,2,5,8],[3],[4],[6],[7]]=>[4,1,1,1,1] [[1,3],[2,8],[4],[5],[6],[7]]=>[[1,2,4,8],[3],[5],[6],[7]]=>[4,1,1,1,1] [[1,2],[3,8],[4],[5],[6],[7]]=>[[1,2,3,8],[4],[5],[6],[7]]=>[4,1,1,1,1] [[1,6],[2,7],[3],[4],[5],[8]]=>[[1,2,7],[3,8],[4],[5],[6]]=>[3,2,1,1,1] [[1,5],[2,7],[3],[4],[6],[8]]=>[[1,2,6,7],[3],[4],[5],[8]]=>[4,1,1,1,1] [[1,4],[2,7],[3],[5],[6],[8]]=>[[1,2,5,7],[3],[4],[6],[8]]=>[4,1,1,1,1] [[1,3],[2,7],[4],[5],[6],[8]]=>[[1,2,4,7],[3],[5],[6],[8]]=>[4,1,1,1,1] [[1,2],[3,7],[4],[5],[6],[8]]=>[[1,2,3,7],[4],[5],[6],[8]]=>[4,1,1,1,1] [[1,5],[2,6],[3],[4],[7],[8]]=>[[1,2,6],[3,7],[4],[5],[8]]=>[3,2,1,1,1] [[1,4],[2,6],[3],[5],[7],[8]]=>[[1,2,5,6],[3],[4],[7],[8]]=>[4,1,1,1,1] [[1,3],[2,6],[4],[5],[7],[8]]=>[[1,2,4,6],[3],[5],[7],[8]]=>[4,1,1,1,1] [[1,2],[3,6],[4],[5],[7],[8]]=>[[1,2,3,6],[4],[5],[7],[8]]=>[4,1,1,1,1] [[1,4],[2,5],[3],[6],[7],[8]]=>[[1,2,5],[3,6],[4],[7],[8]]=>[3,2,1,1,1] [[1,3],[2,5],[4],[6],[7],[8]]=>[[1,2,4,5],[3],[6],[7],[8]]=>[4,1,1,1,1] [[1,2],[3,5],[4],[6],[7],[8]]=>[[1,2,3,5],[4],[6],[7],[8]]=>[4,1,1,1,1] [[1,3],[2,4],[5],[6],[7],[8]]=>[[1,2,4],[3,5],[6],[7],[8]]=>[3,2,1,1,1] [[1,2],[3,4],[5],[6],[7],[8]]=>[[1,2,3,4],[5],[6],[7],[8]]=>[4,1,1,1,1] [[1,8],[2],[3],[4],[5],[6],[7]]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[2,1,1,1,1,1,1] [[1,7],[2],[3],[4],[5],[6],[8]]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[3,1,1,1,1,1] [[1,6],[2],[3],[4],[5],[7],[8]]=>[[1,2,7],[3],[4],[5],[6],[8]]=>[3,1,1,1,1,1] [[1,5],[2],[3],[4],[6],[7],[8]]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[3,1,1,1,1,1] [[1,4],[2],[3],[5],[6],[7],[8]]=>[[1,2,5],[3],[4],[6],[7],[8]]=>[3,1,1,1,1,1] [[1,3],[2],[4],[5],[6],[7],[8]]=>[[1,2,4],[3],[5],[6],[7],[8]]=>[3,1,1,1,1,1] [[1,2],[3],[4],[5],[6],[7],[8]]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[3,1,1,1,1,1] [[1],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[2,1,1,1,1,1,1] [[1,2,3,4,5],[6,7,8,9,10]]=>[[1,2,3,4,5,6,7,8,9,10]]=>[10] [[1,2,3,4,5,6,7,8,9]]=>[[1,2,3,4,5,6,7,8,9]]=>[9] [[1,2,3,4,5,6,7,8],[9]]=>[[1,2,3,4,5,6,7,8,9]]=>[9] [[1,2,3,4,5,6,7],[8,9]]=>[[1,2,3,4,5,6,7,8,9]]=>[9] [[1,2,3,4,5,6,7],[8],[9]]=>[[1,2,3,4,5,6,7,8],[9]]=>[8,1] [[1,2,3,4,5,6],[7,8,9]]=>[[1,2,3,4,5,6,7,8,9]]=>[9] [[1,2,3,4,5,6],[7,8],[9]]=>[[1,2,3,4,5,6,7,8],[9]]=>[8,1] [[1,2,3,4,5,6],[7],[8],[9]]=>[[1,2,3,4,5,6,7],[8],[9]]=>[7,1,1] [[1,2,3,4,5],[6,7,8,9]]=>[[1,2,3,4,5,6,7,8,9]]=>[9] [[1,2,3,4,5],[6,7,8],[9]]=>[[1,2,3,4,5,6,7,8],[9]]=>[8,1] [[1,2,3,4,5],[6,7],[8,9]]=>[[1,2,3,4,5,6,7],[8,9]]=>[7,2] [[1,2,3,4,5],[6,7],[8],[9]]=>[[1,2,3,4,5,6,7],[8],[9]]=>[7,1,1] [[1,2,3,4,5],[6],[7],[8],[9]]=>[[1,2,3,4,5,6],[7],[8],[9]]=>[6,1,1,1] [[1,2,3,4],[5,6,7,8],[9]]=>[[1,2,3,4,5,6,7,8],[9]]=>[8,1] [[1,2,3,4],[5,6,7],[8,9]]=>[[1,2,3,4,5,6,7],[8,9]]=>[7,2] [[1,2,3,4],[5,6,7],[8],[9]]=>[[1,2,3,4,5,6,7],[8],[9]]=>[7,1,1] [[1,2,3,4],[5,6],[7,8],[9]]=>[[1,2,3,4,5,6],[7,8],[9]]=>[6,2,1] [[1,2,3,4],[5,6],[7],[8],[9]]=>[[1,2,3,4,5,6],[7],[8],[9]]=>[6,1,1,1] [[1,2,3,4],[5],[6],[7],[8],[9]]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>[5,1,1,1,1] [[1,2,3],[4,5,6],[7,8,9]]=>[[1,2,3,4,5,6],[7,8,9]]=>[6,3] [[1,2,3],[4,5,6],[7,8],[9]]=>[[1,2,3,4,5,6],[7,8],[9]]=>[6,2,1] [[1,2,3],[4,5,6],[7],[8],[9]]=>[[1,2,3,4,5,6],[7],[8],[9]]=>[6,1,1,1] [[1,2,3],[4,5],[6,7],[8,9]]=>[[1,2,3,4,5],[6,7],[8,9]]=>[5,2,2] [[1,2,3],[4,5],[6,7],[8],[9]]=>[[1,2,3,4,5],[6,7],[8],[9]]=>[5,2,1,1] [[1,2,3],[4,5],[6],[7],[8],[9]]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>[5,1,1,1,1] [[1,2,3],[4],[5],[6],[7],[8],[9]]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>[4,1,1,1,1,1] [[1,2],[3,4],[5,6],[7,8],[9]]=>[[1,2,3,4],[5,6],[7,8],[9]]=>[4,2,2,1] [[1,2],[3,4],[5,6],[7],[8],[9]]=>[[1,2,3,4],[5,6],[7],[8],[9]]=>[4,2,1,1,1] [[1,2],[3,4],[5],[6],[7],[8],[9]]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>[4,1,1,1,1,1] [[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[3,1,1,1,1,1,1] [[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[2,1,1,1,1,1,1,1] [[1,2,3,4,5,6,7,8,9,10]]=>[[1,2,3,4,5,6,7,8,9,10]]=>[10] [[1,2,3,4,5,6,7,8,9],[10]]=>[[1,2,3,4,5,6,7,8,9,10]]=>[10] [[1,2,3,4,5,6,7,8],[9,10]]=>[[1,2,3,4,5,6,7,8,9,10]]=>[10] [[1,2,3,4,5,6,7,8],[9],[10]]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[9,1] [[1,2,3,4,5,6,7],[8,9,10]]=>[[1,2,3,4,5,6,7,8,9,10]]=>[10] [[1,2,3,4,5,6,7],[8,9],[10]]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[9,1] [[1,2,3,4,5,6,7],[8],[9],[10]]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[8,1,1] [[1,2,3,4,5,6],[7,8,9,10]]=>[[1,2,3,4,5,6,7,8,9,10]]=>[10] [[1,2,3,4,5,6],[7,8,9],[10]]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[9,1] [[1,2,3,4,5,6],[7,8],[9,10]]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[8,2] [[1,2,3,4,5,6],[7,8],[9],[10]]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[8,1,1] [[1,2,3,4,5,6],[7],[8],[9],[10]]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>[7,1,1,1] [[1,2,3,4,5],[6,7,8,9],[10]]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[9,1] [[1,2,3,4,5],[6,7,8],[9,10]]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[8,2] [[1,2,3,4,5],[6,7,8],[9],[10]]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[8,1,1] [[1,2,3,4,5],[6,7],[8,9],[10]]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>[7,2,1] [[1,2,3,4,5],[6,7],[8],[9],[10]]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>[7,1,1,1] [[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[6,1,1,1,1] [[1,2,3,4],[5,6,7,8],[9,10]]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[8,2] [[1,2,3,4],[5,6,7,8],[9],[10]]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>[8,1,1] [[1,2,3,4],[5,6,7],[8,9,10]]=>[[1,2,3,4,5,6,7],[8,9,10]]=>[7,3] [[1,2,3,4],[5,6,7],[8,9],[10]]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>[7,2,1] [[1,2,3,4],[5,6,7],[8],[9],[10]]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>[7,1,1,1] [[1,2,3,4],[5,6],[7,8],[9,10]]=>[[1,2,3,4,5,6],[7,8],[9,10]]=>[6,2,2] [[1,2,3,4],[5,6],[7,8],[9],[10]]=>[[1,2,3,4,5,6],[7,8],[9],[10]]=>[6,2,1,1] [[1,2,3,4],[5,6],[7],[8],[9],[10]]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[6,1,1,1,1] [[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[5,1,1,1,1,1] [[1,2,3],[4,5,6],[7,8,9],[10]]=>[[1,2,3,4,5,6],[7,8,9],[10]]=>[6,3,1] [[1,2,3],[4,5,6],[7,8],[9,10]]=>[[1,2,3,4,5,6],[7,8],[9,10]]=>[6,2,2] [[1,2,3],[4,5,6],[7,8],[9],[10]]=>[[1,2,3,4,5,6],[7,8],[9],[10]]=>[6,2,1,1] [[1,2,3],[4,5,6],[7],[8],[9],[10]]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>[6,1,1,1,1] [[1,2,3],[4,5],[6,7],[8,9],[10]]=>[[1,2,3,4,5],[6,7],[8,9],[10]]=>[5,2,2,1] [[1,2,3],[4,5],[6,7],[8],[9],[10]]=>[[1,2,3,4,5],[6,7],[8],[9],[10]]=>[5,2,1,1,1] [[1,2,3],[4,5],[6],[7],[8],[9],[10]]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[5,1,1,1,1,1] [[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[4,1,1,1,1,1,1] [[1,2],[3,4],[5,6],[7,8],[9,10]]=>[[1,2,3,4],[5,6],[7,8],[9,10]]=>[4,2,2,2] [[1,2],[3,4],[5,6],[7,8],[9],[10]]=>[[1,2,3,4],[5,6],[7,8],[9],[10]]=>[4,2,2,1,1] [[1,2],[3,4],[5,6],[7],[8],[9],[10]]=>[[1,2,3,4],[5,6],[7],[8],[9],[10]]=>[4,2,1,1,1,1] [[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[4,1,1,1,1,1,1] [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[3,1,1,1,1,1,1,1] [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[2,1,1,1,1,1,1,1,1] [[1,2,3,7,8,9],[4,5,6]]=>[[1,2,3,4,5,6],[7,8,9]]=>[6,3] [[1,2,3,4,9],[5,6,7,8]]=>[[1,2,3,4,5,6,7,8],[9]]=>[8,1] [[1,2,9],[3,4],[5,6],[7,8]]=>[[1,2,3,4],[5,6],[7,8],[9]]=>[4,2,2,1] [[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[2,1,1,1,1,1,1,1] [[1,2,3,4,9,10],[5,6,7,8]]=>[[1,2,3,4,5,6,7,8],[9,10]]=>[8,2] [[1,2,3,10],[4,5,6],[7,8,9]]=>[[1,2,3,4,5,6],[7,8,9],[10]]=>[6,3,1] [[1,2,9,10],[3,4],[5,6],[7,8]]=>[[1,2,3,4],[5,6],[7,8],[9,10]]=>[4,2,2,2] [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[2,1,1,1,1,1,1,1,1]
Map
catabolism
Description
Remove the first row of the standard tableau and insert it back using column Schensted insertion, starting with the largest number.
The algorithm for column-inserting an entry $k$ into tableau $T$ is as follows:
If $k$ is larger than all entries in the first column, place $k$ at the bottom of the first column and the procedure is finished. Otherwise, place $k$ in the first column, replacing the smallest entry, $y$, greater than $k$. Now insert $y$ into the second column using the same procedure: if $y$ is greater than all entries in the second column, place it at the bottom of that column (provided that the result is still a tableau). Otherwise, place $y$ in the second column, replacing, or 'bumping', the smallest entry, $z$, larger than $y$. Continue the procedure until we have placed a bumped entry at the bottom of a column (or on its own in a new column).
Map
shape
Description
Sends a tableau to its shape.